BM6P6(@ }}}~~~~~~|||zzzxxxvvvtttrrrsssuuuvvvtttrrrsssqqqooopppssstttsssqqqrrrpppooooooqqqtttvvvvvvyyy|||~~~xxxuuuuuutttqqqnnnlllnnnrrruuuoooppprrruuuxxx|||~~~zzzyyy}}}~~~}}}~~~~~~zzzyyyxxxyyy|||}}}|||zzz{{{zzzyyyzzz}}}~~~|||}}}vvvvvvwwwxxx{{{~~~{{{xxxuuutttuuuwwwxxxxxxwwwwwwyyyyyyzzzyyyyyyxxxyyy}}}~~~zzzwwwvvvuuutttrrrrrrrrrrrrqqqooonnnmmmlllppptttxxxwwwtttsssvvvzzzzzz|||}}}{{{xxxwwwzzz}}}~~~zzzvvvsssrrrrrrqqqooonnnmmmllllllnnnqqqtttsssppplllkkkllliiikkklllkkkiiijjjmmmqqqqqqtttyyy~~~~~~~~~~~~}}}{{{zzz}}}}}}|||zzzyyywwwvvvuuuuuuuuuwwwyyyzzzwwwrrrmmmiiidddfffgggeeecccdddhhhlllpppssswww|||~~~}}}|||||||||||||||||||||{{{yyyvvvsssqqqtttzzz~~~|||{{{{{{|||}}}|||~~~|||xxxuuuuuuvvvzzz~~~~~~}}}wwwzzz~~~xxxrrrkkklllkkkiiifffggglllpppsssuuuyyy}}}~~~}}}{{{zzzzzz{{{}}}~~~~~~|||xxxsssqqqtttzzz~~~yyyxxxvvvuuutttuuuvvvwwwwwwzzz~~~|||xxxuuusssqqqrrrrrrpppmmmkkkjjjiiilllpppuuuxxx{{{~~~}}}yyyyyy}}}}}}zzzzzz{{{|||zzzxxxzzzxxxvvvvvvvvvvvvtttsssmmmoooqqqrrrrrrrrrssstttwwwyyy|||}}}|||||||||}}}{{{{{{}}}{{{{{{~~~xxxxxxvvvtttsssuuuyyy|||zzz{{{|||}}}vvvrrrrrrsssvvvwwwxxxxxxwwwtttqqqppppppooommmlllllljjjgggeeegggkkkooooooooorrrxxx~~~wwwuuussspppnnnnnnmmmnnnjjjooovvv|||~~~~~~}}}yyyvvvtttsssrrrrrrrrrsssvvvzzz~~~}}}}}}}}}~~~~~~|||zzz{{{|||{{{}}}}}}zzzyyy|||~~~~~~~~~|||wwwyyy}}}{{{}}}{{{zzzyyywwwtttqqqnnnoooqqqqqqooonnnooopppppprrrttttttsssssstttuuuoootttwwwwwwxxx}}}}}}|||{{{zzzwwwtttppprrrvvvzzzwwwooollllllnnnzzz~~~yyyyyyzzzssssssssstttvvvwwwyyyzzz}}}|||}}}}}}{{{wwwuuuvvvuuusssqqqooommmkkkiiikkknnnrrrrrrpppooosssvvv}}}|||vvvuuurrrpppmmmlllkkkjjjhhhiiilllppptttwwwyyyyyywwwvvvuuusssqqqooommmllllllkkkjjjjjjkkknnnrrrtttzzz~~~~~~|||zzzxxxvvvuuuvvvvvvvvvrrrnnnnnnqqquuuxxxxxxwwwuuusssrrrtttvvv{{{yyywwwwwwwwwwwwvvvuuurrrlllggggggmmmuuu|||wwwyyy}}}yyyvvvtttuuuuuutttrrrppppppqqqpppqqqqqqpppnnnmmmooopppkkkpppsssrrrsssxxxzzzzzz~~~{{{wwwuuusssqqqnnnllljjjkkknnnqqquuuxxx{{{|||{{{zzzuuuoooiiieeeeeeeeemmmqqqvvvyyyxxxvvvuuuuuuqqqpppooommmllllllkkkkkknnnppprrrqqqqqquuu~~~~~~|||zzzwwwuuusssrrrssswww{{{{{{yyyvvvvvvwwwzzz}}}~~~~~~|||{{{yyyvvvssspppnnnmmmmmmjjjhhhjjjpppvvvyyyzzzwwwwwwvvvtttrrrpppmmmlllllljjjhhheeedddeeeggghhhlllooosssuuusssqqqooonnnnnnqqqvvv{{{}}}~~~|||{{{||||||yyytttoooooossswwwxxxyyyyyywwwuuuuuuuuuwww}}}}}}}}}}}}|||zzzwwwuuulllgggaaa___dddllltttyyy{{{mmmooovvv~~~|||{{{|||}}}|||{{{yyyvvvrrrqqqqqqssspppuuuxxxwwwyyy~~~}}}yyyvvvtttrrrqqqpppqqqrrrtttwwwzzz|||}}}}}}{{{xxxtttpppllljjjjjjmmmmmmooorrrtttuuuuuutttwwwvvvsssqqqnnnmmmkkkkkkhhhjjjjjjhhhfffggglllqqqqqqwww|||yyyvvvuuuvvvqqqmmmpppwww~~~|||yyywwwuuuuuusssqqqmmmjjjhhhhhhiiiiiillloooqqqrrrpppmmmkkkkkkfffiiimmmqqqssstttsssrrrsss{{{yyyvvvuuuwwwvvvrrrppprrruuuvvvvvvvvvvvvvvvuuuuuuuuuwwwyyyzzzyyyxxxxxxyyy}}}}}}||||||~~~yyytttuuuzzz{{{||||||{{{zzzyyy{{{|||}}}{{{rrrnnnhhheeehhhooovvv{{{|||vvvhhhhhhmmmyyyzzzwwwvvvwwwvvv{{{~~~|||{{{{{{xxxxxxxxxzzz{{{~~~}}}zzzxxxvvvtttyyyvvvttttttvvvyyyyyyyyyxxxwwwuuurrrpppnnnmmmmmmgggiiiiiifffbbb______```eeejjjrrr{{{{{{wwwsss~~~}}}zzz|||zzz}}}~~~{{{wwwrrrooommmmmmmmmnnnpppqqqqqqnnnlllkkkkkkjjjlllooorrrsssqqqooommmkkkpppxxx}}}~~~{{{vvvsssnnnlllnnnqqqqqqmmmllloooqqqssstttvvvvvvvvvuuutttuuuxxxzzz{{{yyyxxxwwwwwwzzz{{{{{{zzzyyyzzz|||}}}zzzyyyzzz}}}~~~~~~}}}zzzwwwwww{{{|||ooommmoooxxx~~~||||||}}}{{{zzzxxxvvvuuuttttttjjjkkkkkkiiiddd___]]]\\\```ccchhhnnnrrrrrrooolllgggnnnvvvwwwtttrrruuuyyy|||xxxuuuuuuvvvuuurrrnnnlllkkkkkkjjjiiillliiihhhkkkrrryyy}}}}}}{{{zzzvvvtttyyyzzzwwwvvvuuutttuuuuuutttqqqpppoooppprrrtttwwwyyyxxxuuurrroookkkooosssuuutttrrrqqqqqqooonnnppptttssspppqqquuuvvvyyy|||~~~{{{zzzyyy{{{}}}}}}|||zzzzzzzzzyyy{{{||||||{{{zzzzzzzzz}}}zzzwwwuuusssrrrtttvvvwwwxxxvvvyyy|||~~~{{{}}}|||{{{yyyuuupppooopppssswwwwwwvvvtttrrrtttxxx|||~~~~~~~~~~~~~~~xxxxxxuuurrrmmmiiigggeeeccccccdddgggjjjllllllkkkfffiiijjjiiiggggggkkkooossssssssspppmmmkkklllmmmkkkgggaaa]]]\\\\\\\\\[[[[[[\\\]]]___dddjjjpppuuusssqqqpppoooiiieeehhhnnnssszzz~~~}}}~~~~~~}}}}}}~~~~~~|||zzzyyyyyyzzz~~~{{{xxxvvvyyy}}}~~~}}}}}}~~~}}}|||~~~|||}}}|||yyyxxxxxxzzz}}}|||yyyxxxsssrrrpppjjjdddbbbcccffffffffffffdddccceeejjjooonnnpppsssvvvwwwxxxwwwwwwvvvsssrrrsssxxxwwwqqqmmmkkkooonnnnnnmmmnnnoooqqqrrrnnnmmmmmmpppuuu}}}|||uuurrrtttvvvxxx{{{|||wwwsssrrrqqqllljjjhhhiiillloooqqqqqqooonnnkkkhhhfffgggkkknnniiijjjjjjiiihhhhhhiiikkknnnhhhaaa[[[ZZZZZZ[[[\\\TTTVVVYYY[[[^^^dddmmmssspppooonnnkkkccc\\\]]]bbbaaagggqqqyyy}}}|||xxxvvvuuusssnnnkkkooossswwwvvvtttwww{{{zzzyyyzzz|||}}}~~~~~~{{{xxxvvvyyy~~~|||yyyxxxxxxwwwtttnnnhhhcccaaa```___^^^]]]]]]___bbbeeehhhiiieeecccfffmmmrrrtttsssvvvrrrmmmjjjkkkpppvvv{{{~~~yyysssoooiiiddd```cccdddeeegggggggggfffeeeddddddcccdddggglllqqqtttxxx~~~vvvkkkcccccceeehhhkkkooouuu~~~}}}yyyuuutttvvvwwwwwwvvvuuussspppnnnmmmnnnpppqqqooollliiigggggghhhhhhgggiiigggdddaaa^^^]]]\\\\\\YYYZZZ[[[^^^bbbhhhllloookkkjjjhhheeecccaaa___^^^ZZZ___dddiiilllnnnqqqrrrrrrooommmllllllkkkhhhdddeeeeeeeeefffjjjnnnsssvvv~~~|||uuusssrrruuuzzz|||yyyuuuvvvuuurrrpppllliiigggeeedddllluuuyyyxxxuuuvvvwww{{{~~~~~~}}}~~~~~~{{{xxxyyyxxxxxxxxxzzz}}}yyyqqqkkkhhhgggcccbbbaaaaaabbbdddgggiiillliiigggjjjpppuuuuuusssvvvrrrnnnjjjjjjlllqqqsssuuurrrooommmkkkiiifffcccaaabbbdddeeeffffffffffff___^^^\\\\\\]]]aaadddgggpppvvv}}}{{{rrriiiddd\\\^^^___```aaadddjjjnnnwww||||||{{{|||~~~{{{yyyyyyzzz{{{vvvtttpppnnnnnnoooooonnnpppnnnllliiigggfffeeeeeeeeeeeeeeefffiiikkkmmmooopppooonnnkkkiiigggeeeddd```bbbcccdddeeegggkkknnnpppnnnlllllllllkkkgggdddggggggfffggghhhkkkmmmooo}}}}}}wwwtttrrrooommmooosssuuussspppnnnllljjjgggdddbbbaaa``````gggnnnqqqooolllkkklllrrruuuwwwwwwxxx{{{uuunnnkkkiiiiiijjjjjjgggeeehhhhhhhhhiiikkkmmmpppqqqvvvyyy}}}~~~}}}{{{yyyyyyzzzvvvuuupppooommmlllmmmnnnpppqqqsssqqqqqqtttxxxzzzyyywwwvvvtttppplllkkkkkklllmmmnnnlllkkkjjjkkkkkkiiigggbbbcccdddeeeffffffffffffbbb```^^^\\\\\\]]]___```gggkkkqqqsssqqqlllgggddd_________^^^\\\[[[\\\^^^aaaeeeiiijjjkkkmmmrrrvvv{{{uuunnniiihhhiiimmmttt~~~~~~~~~~~~}}}~~~}}}|||zzzyyyxxxxxxwwwyyyyyyxxxxxxwwwvvvuuutttzzzyyyxxxvvvsssqqqpppooojjjjjjhhhffffffiiinnnrrrwwwvvvuuuuuuuuussspppmmmppppppppppppoooooonnnnnnvvvzzztttooonnnkkkiiiiiimmmooonnnmmmjjjhhhdddaaa^^^]]]]]]]]]aaafffkkkllljjjfffddddddkkkmmmooooooooosss{{{vvvxxx|||~~~}}}vvvllleee\\\[[[YYYYYYZZZZZZXXXVVVYYYZZZ[[[]]]___aaabbbcccfffhhhjjjjjjiiiiiijjjkkkxxxooommmooorrrtttuuuwwwyyyyyyvvvrrrooonnnkkknnnsssxxx~~~}}}~~~~~~~~~~~~zzzyyywwwtttsssqqqppppppuuusssrrrqqqrrrqqqpppnnnjjjjjjjjjjjjiiiiiiiiihhhiiigggeeecccbbbbbbcccdddcccfffjjjkkkiiigggeeedddffffffeeecccaaa___]]]\\\[[[]]]______```bbbgggjjjtttssspppkkkfffbbbbbbccchhhmmmuuu~~~~~~zzzyyyxxxvvvvvvyyy~~~}}}{{{}}}{{{sssooollljjjkkknnnqqqrrrrrrrrrooojjjfffcccaaaaaabbbhhhlllooopppmmmjjjhhhhhhiiijjjjjjiiiiiilllrrrvvviiiiiiiiijjjjjjhhhddd```\\\[[[ZZZYYYXXXWWWVVVUUUUUUWWWYYY\\\^^^```aaabbb```aaa```______aaadddgggxxx~~~wwwmmmfffccceeeggghhhhhhjjjlllkkkhhheeeccccccbbbdddhhhllloooqqqrrrrrrpppppppppppprrrtttwwwxxxxxxwwwuuusssqqqnnnlllllliiijjjmmmsss{{{~~~~~~~~~}}}{{{yyyxxxwwwuuutttsssrrrqqqpppooommmlllkkklllmmmnnnkkklllmmmmmmkkkjjjjjjkkkjjjjjjjjjjjjiiihhhfffdddccccccccccccccceeegggiiioooooonnnkkkhhhggghhhiiijjjooovvvxxxvvvuuuvvvyyy}}}zzztttpppnnnnnnnnnqqqsssuuuvvvuuusssqqqqqqkkkjjjhhhfffeeefffjjjmmmcccaaa______aaabbbbbbbbbbbbbbbaaa___\\\ZZZZZZYYYYYYZZZ\\\^^^```bbbbbbcccbbbbbbaaa```___aaaeeehhhsss}}}sssoooiiieeecccccccccccceeefffgggfffdddbbbaaabbbfffgggjjjlllmmmmmmlllkkkjjjiiihhhgggffffffgggggggggfffeeedddcccaaa``````bbbccceeeggglllqqqvvvzzzzzz|||}}}~~~~~~~~~~~~}}}{{{yyyxxxzzz{{{yyyxxxxxxyyy{{{{{{zzzxxxtttttttttsssttttttuuuuuuvvvwwwwwwvvvuuuuuuvvvxxxrrrzzz~~~}}}~~~~~~~~~~~~||||||ssspppmmmiiihhhiiijjjllldddbbb``````cccfffhhhiiijjjjjjjjjhhheeecccbbbcccddddddcccccccccccccccccceeefffffffffeeefffhhhjjjkkkqqqxxx}}}}}}tttllljjjhhhggghhhhhhgggfffggghhhiiihhhgggfffgggiiiiiikkkmmmooopppooommmkkkkkkjjjhhhfffdddbbbaaaaaa]]]]]]]]]]]]]]]]]]]]]]]]cccdddeeeffffffhhhkkknnnoooqqqsssttttttuuuwwwxxxyyy{{{}}}|||yyyxxxyyyzzz{{{sssqqqoooooossswwwyyy{{{zzz|||}}}{{{yyywwwxxxzzzzzzxxxuuuqqqmmmjjjiiihhhjjjlllmmmmmmlllkkklllmmmiiimmmooonnnpppsssqqqllljjjiiiiiijjjmmmooopppoooooopppppppppoooppprrruuupppqqqsssuuutttrrrooommmlllkkkiiihhhfffdddcccccc]]]]]]^^^___aaabbbcccccceeehhhiiiiiihhhhhhjjjlllnnnppprrrsssssstttuuuwwwssssssssstttvvvzzz}}}yyyuuurrrqqqmmmpppssssssrrrpppooonnnqqqssssssooooooqqqrrrpppmmmlllkkkmmmqqqvvvxxxyyyvvvwwwwwwwwwwwwyyy|||~~~{{{}}}~~~~~~{{{wwwssspppmmmmmmmmmlllkkkkkkjjjjjjcccdddeeegggiiikkkmmmmmmiiilllooopppnnnmmmoooqqqtttvvvyyyzzzyyyyyy{{{|||wwwvvvtttssstttwwwzzz|||~~~}}}|||{{{{{{{{{}}}~~~~~~}}}~~~~~~}}}zzzwwwxxxyyyzzzzzzxxxvvvtttmmmppprrrsssrrrqqqrrrrrrwwwvvvuuuvvvwwwyyy{{{|||~~~}}}~~~~~~~~~zzzqqqlllmmmqqqtttttttttxxx{{{wwwsssrrrtttwwwzzzyyyxxxxxxyyy|||}}}}}}|||yyyzzz|||~~~rrrhhhdddffflllpppooopppuuu{{{rrroooiiidddcccdddgggjjjjjjiiihhhiiikkkllllllkkkggggggiiiqqq|||sssjjjhhhjjjkkkjjjnnnooottt~~~yyykkkfffaaaaaadddeeedddaaaeeehhhlllmmmllliiigggfffbbbbbbdddjjjqqqyyy~~~xxxvvvxxxxxxwwwuuuwww}}}{{{pppkkkgggfffiiijjjiiiggggggjjjmmmnnnllljjjhhhggggggffffffhhhlllqqquuuvvv|||xxxuuutttvvvxxxwwwvvvuuuwwwyyyyyyvvvtttrrrrrrwwwuuusssrrrrrrsssuuuvvv{{{~~~ttt~~~~~~~~~}}}{{{{{{}}}}}}~~~~~~~~~~~~}}}{{{|||}}}}}}{{{{{{|||}}}{{{{{{{{{{{{{{{{{{{{{{{{zzzzzzzzz{{{{{{}}}~~~xxxxxxxxxxxxwwwuuusssrrrooommmlllkkklllkkkjjjhhhcccaaa```^^^\\\\\\\\\]]]~~~|||zzzyyyxxxqqqpppooommmllljjjiiiiiihhhhhhfffeeeddddddddddddffffffeeeeeedddbbbaaa```aaabbbcccddddddcccbbbaaa\\\]]]]]][[[XXXXXX[[[^^^^^^______``````______^^^[[[\\\]]]]]][[[[[[\\\]]]\\\\\\\\\\\\\\\\\\\\\\\\YYYYYYYYYZZZ[[[\\\^^^___[[[[[[[[[[[[[[[ZZZZZZZZZWWWUUUTTTTTTUUUUUUTTTRRRNNNMMMLLLKKKKKKKKKLLLMMM}}}{{{zzzxxxvvvsssooommmkkkjjjiiigggeeecccaaa``````___^^^]]][[[YYYWWWVVVUUUSSSTTTTTTTTTTTTSSSSSSRRRRRRQQQPPPOOOOOOPPPQQQQQQUUUUUUTTTTTTRRRQQQPPPOOOMMMNNNOOOPPPPPPOOONNNMMMNNNOOOOOOMMMJJJJJJMMMPPPQQQRRRRRRRRRRRRRRRRRRQQQMMMOOOPPPOOONNNMMMNNNOOOQQQPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPQQQRRRTTTUUUVVVRRRRRRQQQQQQRRRRRRSSSTTTOOOMMMLLLMMMNNNNNNMMMLLLGGGFFFFFFEEEFFFGGGIIIJJJ}}}{{{zzzzzzzzzyyyxxxwwwvvvuuusssrrrqqqpppppppppppppppqqqqqqrrrsssrrrqqqooonnnpppooonnnlllkkkkkkllllllkkkkkkkkkkkkjjjjjjjjjjjjiiihhhgggggggggggghhhhhhhhhgggfffeeeeeefffggghhhfffffffffhhhkkkpppuuuxxxssspppllljjjiiijjjiiihhhhhheeebbbaaabbbcccccccccaaa```^^^[[[WWWUUUVVVWWWUUUUUUUUUUUUTTTSSSRRRQQQNNNMMMLLLKKKJJJJJJJJJJJJJJJIIIGGGEEEEEEFFFGGGIIIFFFFFFFFFFFFGGGHHHHHHIIIHHHHHHHHHHHHHHHIIIJJJKKKIIIIIIIIIIIIIIIJJJJJJJJJKKKIIIFFFDDDDDDFFFIIIKKKOOONNNMMMKKKKKKKKKKKKLLLHHHHHHIIIJJJJJJJJJJJJIIIJJJIIIIIIIIIIIIJJJJJJKKKIIIJJJKKKMMMNNNOOOOOOOOOLLLLLLMMMMMMNNNNNNOOOOOOMMMMMMLLLKKKJJJHHHFFFEEEGGGEEEBBB@@@@@@AAACCCDDD~~~|||}}}~~~}}}{{{}}}}}}||||||{{{zzzzzzzzz{{{zzzwwwvvvuuuvvvxxxyyytttttttttsssqqqooonnnmmmkkklllmmmnnnnnnmmmlllkkkrrrqqqooonnnkkkiiihhhggg``````______]]]ZZZXXXWWWXXXXXXXXXXXXXXXWWWVVVUUU[[[ZZZZZZYYYYYYYYYZZZZZZZZZZZZZZZZZZZZZZZZYYYYYYUUUTTTRRRQQQPPPPPPPPPQQQTTTTTTTTTUUUUUUVVVVVVVVVWWWWWWVVVVVVVVVVVVVVVWWWVVVUUUUUUUUUUUUUUUUUUVVVWWWVVVVVVUUUVVVXXXZZZ\\\]]][[[WWWVVVVVVWWWVVVVVVVVVTTTRRRQQQRRRSSSSSSRRRRRRRRRRRROOOMMMLLLMMMNNNOOOOOOOOOOOONNNMMMLLLKKKHHHHHHGGGFFFFFFFFFFFFFFFGGGFFFDDDCCCBBBBBBCCCDDDEEEDDDDDDDDDDDDFFFGGGHHHHHHHHHHHHHHHHHHHHHIIIJJJIIIIIIIIIJJJJJJKKKKKKKKKIIIHHHEEECCCCCCDDDGGGHHHLLLLLLLLLKKKJJJIIIHHHGGGFFFGGGGGGHHHHHHHHHHHHHHHKKKKKKJJJJJJJJJKKKLLLMMMKKKKKKLLLLLLLLLLLLLLLLLLMMMMMMMMMLLLKKKKKKJJJJJJLLLKKKJJJIIIHHHGGGFFFEEEFFFEEEBBBAAA@@@BBBDDDEEE|||{{{zzzwwwttttttvvvxxxyyyyyyzzzzzzzzzzzzyyyyyytttrrrpppooopppooommmllllllkkkjjjiiihhhgggggggggiiijjjkkkkkkkkkjjjiiihhhiiigggddddddddddddcccbbb___``````aaaaaaaaaaaa```cccccccccdddddddddddddddaaa```^^^\\\\\\]]]^^^___aaaaaaaaaaaa___]]][[[ZZZVVVVVVWWWWWWWWWWWWVVVVVVWWWVVVUUUTTTSSSQQQQQQPPPRRRRRRQQQQQQPPPOOOOOONNNMMMNNNNNNOOOOOONNNNNNMMMKKKKKKKKKKKKKKKKKKLLLMMMKKKKKKKKKKKKKKKKKKLLLMMMOOONNNMMMLLLKKKKKKKKKKKKFFFGGGHHHIIIJJJKKKLLLLLLMMMMMMLLLLLLLLLLLLMMMMMMKKKKKKLLLLLLLLLLLLKKKKKKMMMMMMMMMLLLLLLKKKKKKKKKPPPNNNLLLKKKLLLMMMMMMMMMMMMLLLKKKKKKLLLMMMKKKJJJHHHHHHIIIHHHGGGFFFHHHJJJKKKKKKKKKKKKKKKJJJIIIHHHEEEEEEDDDDDDCCCDDDDDDEEEEEEEEEDDDDDDCCCCCCCCCCCCDDDDDDBBBBBBCCCEEEGGGHHHJJJJJJIIIHHHHHHHHHIIIIIIJJJJJJKKKLLLMMMNNNNNNOOOIIIHHHFFFDDDCCCDDDFFFGGGHHHIIIIIIJJJIIIGGGEEEDDDEEEEEEFFFFFFFFFGGGGGGGGGIIIHHHGGGGGGGGGIIIJJJKKKLLLLLLLLLKKKKKKJJJJJJIIIKKKKKKKKKJJJJJJIIIIIIHHHHHHGGGEEECCCBBBBBBBBBBBBBBBAAA???>>>>>>@@@BBBCCC{{{yyyvvvvvvwwwyyyyyyyyyyyywwwvvvvvvxxxyyyyyyxxxtttqqqoooppptttyyy}}}~~~xxxuuuqqqnnnmmmlllkkkjjjddddddeeeffffffeeecccbbbdddeeefffhhhjjjlllnnnnnnlllkkkjjjhhheeecccaaa___``````^^^]]][[[\\\]]]^^^`````````````````````___^^^^^^]]]]]]\\\\\\ZZZYYYYYYXXXWWWVVVVVVVVVVVVVVVUUUVVVWWWXXXWWWWWWUUUUUUVVVVVVVVVVVVVVVVVVVVVUUUUUUVVVVVVVVVVVVVVVVVVVVVUUUUUUUUUUUUUUUUUUUUUUUUSSSRRRPPPOOOOOOOOOPPPQQQVVVWWWXXXXXXXXXVVVTTTSSSLLLMMMMMMMMMMMMMMMMMMLLLPPPPPPOOOOOONNNNNNNNNNNNLLLKKKJJJIIIHHHHHHIIIIIIGGGHHHIIIIIIJJJJJJJJJJJJJJJIIIIIIIIIJJJKKKLLLLLLKKKJJJIIIIIIIIIKKKLLLMMMIIIIIIHHHHHHGGGGGGGGGGGGIIIIIIJJJJJJKKKLLLLLLMMMMMMLLLLLLLLLLLLMMMMMMNNNJJJKKKLLLMMMMMMLLLKKKJJJJJJKKKLLLMMMNNNNNNMMMMMMNNNLLLKKKLLLMMMOOOOOOOOONNNNNNMMMNNNOOOOOONNNLLLHHHIIIJJJIIIHHHHHHIIIKKKLLLLLLLLLLLLLLLKKKJJJIIIFFFFFFEEEDDDDDDDDDDDDEEEFFFGGGHHHIIIIIIIIIIIIHHHEEEDDDCCCBBBCCCFFFHHHJJJLLLKKKJJJIIIIIIIIIIIIIIIKKKLLLLLLNNNOOOPPPQQQQQQLLLKKKIIIHHHGGGGGGGGGGGGEEEEEEEEEEEEEEEEEEEEEEEEDDDDDDDDDDDDEEEEEEFFFFFFGGGFFFEEEEEEFFFGGGIIIJJJJJJIIIIIIHHHHHHHHHHHHHHHFFFFFFGGGGGGHHHIIIJJJJJJIIIGGGDDDAAA@@@???@@@AAA@@@???>>>>>>???@@@BBBCCCzzzyyyxxxwwwuuutttsssssswwwvvvvvvuuusssqqqpppooooooooonnnmmmmmmlllkkkkkkjjjjjjjjjiiihhhhhhkkkmmmllljjjhhhgggggghhhjjjkkkeeeeeedddeeeeeeeeeffffffccc```]]][[[]]]```bbbbbb_________```dddfffgggffffffbbb______eeemmmtttyyynnnjjjeeeaaa^^^\\\ZZZYYYSSSTTTVVVVVVVVVVVVUUUUUUXXXYYYZZZ[[[\\\]]]^^^^^^^^^]]]]]]\\\[[[YYYXXXWWWUUUTTTSSSSSSSSSUUUUUUVVVVVVVVVVVVUUUUUUUUUUUUUUUUUUVVVWWWWWWVVVUUUTTTTTTSSSSSSRRRRRRQQQRRRRRRRRRRRRSSSTTTUUUUUUTTTSSSRRROOOPPPRRRSSSTTTTTTTTTTTTSSSSSSSSSRRRRRRRRRRRRSSSPPPPPPOOOOOONNNMMMMMMMMMOOONNNMMMLLLKKKLLLLLLMMMKKKMMMOOOQQQQQQPPPNNNMMMHHHHHHHHHHHHHHHHHHHHHHHHIIIIIIIIIIIIIIIIIIJJJJJJHHHGGGFFFDDDDDDCCCCCCDDDFFFFFFGGGHHHIIIIIIIIIIIIGGGGGGGGGGGGHHHHHHIIIJJJHHHGGGGGGFFFGGGHHHJJJKKKGGGGGGGGGGGGFFFFFFFFFEEEJJJJJJJJJJJJJJJJJJJJJJJJJJJIIIIIIIIIJJJJJJKKKLLLHHHIIIJJJKKKKKKJJJIIIHHHEEEGGGIIIKKKLLLLLLKKKKKKIIIHHHGGGIIIKKKMMMMMMMMMJJJJJJIIIKKKLLLLLLKKKIIIHHHIIIJJJIIIGGGFFFGGGHHHJJJJJJJJJKKKJJJJJJIIIIIIEEEEEEDDDCCCCCCCCCCCCCCCEEEGGGJJJMMMNNNMMMLLLKKKEEEEEEDDDDDDEEEGGGIIIKKKKKKKKKJJJIIIHHHHHHHHHHHHKKKKKKLLLMMMNNNOOOPPPQQQNNNMMMLLLKKKJJJIIIHHHHHHAAAAAA@@@???@@@BBBDDDEEEBBBBBBAAAAAAAAABBBCCCDDDCCCCCCDDDDDDEEEFFFGGGGGGDDDCCCCCCCCCCCCDDDEEEEEEAAABBBCCCDDDEEEFFFGGGGGGKKKIIIEEEBBBAAA@@@@@@AAAAAA@@@@@@@@@@@@AAACCCDDD~~~~~~}}}|||zzzyyyxxxtttssssssrrrpppooommmlllffffffeeefffggggggfffdddcccbbbbbbaaa```^^^^^^]]]XXXYYYZZZ[[[\\\\\\\\\\\\\\\[[[ZZZYYYXXXWWWWWWWWWZZZZZZYYYYYYWWWVVVTTTTTTTTTTTTTTTTTTSSSSSSSSSSSSRRRRRRRRRRRRRRRTTTWWWZZZZZZYYYWWWWWWYYY\\\___aaa]]]^^^^^^```aaaccceeeffffffbbb\\\ZZZ\\\aaaeeegggeeeeeefffiiimmmoooppppppllliiifffffflllttt{{{uuusssooojjjeee___XXXSSSPPPQQQRRRQQQOOOOOOOOOQQQQQQRRRTTTVVVXXXYYYZZZZZZYYYYYYYYYYYYXXXWWWVVVVVVRRRQQQPPPPPPRRRSSSSSSRRRRRRQQQQQQPPPQQQQQQRRRRRRPPPRRRTTTTTTSSSQQQQQQQQQPPPPPPPPPPPPPPPPPPQQQQQQTTTUUUWWWXXXXXXWWWVVVVVVSSSUUUYYYZZZYYYXXXWWWWWWSSSRRRQQQQQQPPPQQQQQQQQQUUUUUUTTTSSSRRRRRRQQQQQQOOOOOONNNMMMMMMMMMMMMMMMIIIKKKNNNPPPQQQOOONNNLLLKKKKKKJJJJJJJJJJJJKKKKKKGGGGGGHHHHHHHHHIIIIIIIIIKKKKKKKKKJJJJJJIIIHHHHHHHHHIIIJJJKKKKKKKKKKKKKKKEEEEEEEEEEEEEEEEEEFFFGGGEEEEEEEEEEEEEEEEEEFFFGGGIIIIIIJJJJJJJJJIIIIIIHHHHHHHHHHHHGGGGGGGGGFFFFFFGGGGGGFFFGGGGGGHHHIIIJJJHHHHHHHHHIIIIIIHHHHHHHHHEEEFFFGGGHHHHHHGGGFFFEEEEEEEEEEEEGGGIIIKKKKKKJJJGGGFFFEEEFFFGGGHHHGGGFFFEEEFFFGGGFFFDDDBBBBBBBBBFFFFFFGGGGGGGGGFFFFFFEEEBBBBBBBBBBBBCCCDDDDDDEEEHHHKKKOOORRRRRRPPPMMMKKKGGGGGGHHHIIIJJJLLLMMMNNNMMMLLLLLLKKKKKKKKKKKKLLLMMMMMMNNNNNNOOOPPPQQQQQQQQQQQQPPPOOONNNLLLJJJIIIBBBBBB@@@@@@@@@AAACCCDDDAAA@@@?????????@@@AAABBB>>>???AAACCCDDDDDDCCCCCCAAA@@@??????@@@AAABBBCCCBBBBBBBBBBBBBBBBBBBBBBBBFFFEEECCCBBBAAA@@@AAAAAAAAA@@@@@@@@@@@@AAAAAABBB}}}yyywwwvvvvvvwwwqqqqqqqqqrrrrrrrrrssssssqqqpppooonnnmmmmmmnnnnnnkkkjjjiiihhhhhhjjjlllmmmiiifffdddcccbbbbbb```___^^^^^^]]]\\\[[[YYYXXXWWWVVVVVVVVVVVVVVVUUUTTTSSSSSSRRRQQQRRRTTTTTTSSSQQQPPPPPPOOOOOOOOONNNNNNNNNIIIJJJLLLNNNOOOPPPPPPPPPSSSSSSRRRRRRSSSTTTVVVVVVUUUUUUUUUUUUTTTSSSRRRQQQSSSSSSSSSSSSTTTTTTTTTTTTRRRSSSTTTUUUWWW[[[```ddddddcccbbbbbbdddhhhllloooqqqqqqqqqrrrsssuuuwwwxxxuuupppiiifffiiiooovvvzzz{{{{{{|||}}}{{{zzz|||}}}rrreee[[[XXXXXXVVVRRRNNNLLLNNNPPPOOOQQQSSSVVVXXXYYYYYYZZZYYYYYYYYYYYYYYYXXXWWWVVVSSSQQQOOOOOOPPPPPPNNNLLLOOOOOOOOOPPPQQQSSSVVVWWWSSSVVVYYYYYYXXXVVVVVVWWWTTTTTTTTTTTTTTTUUUVVVWWWRRRSSSUUUVVVVVVVVVUUUTTTUUUXXX[[[[[[XXXUUUSSSSSSUUUTTTSSSRRRRRRRRRSSSSSSNNNNNNNNNNNNNNNNNNNNNNNNHHHHHHGGGGGGGGGFFFFFFFFFGGGIIIKKKLLLLLLJJJGGGEEEEEEEEEDDDCCCCCCDDDEEEEEEJJJJJJJJJJJJKKKKKKKKKKKKEEEFFFGGGHHHHHHHHHGGGGGGBBBCCCDDDDDDDDDDDDDDDCCCGGGFFFFFFEEEEEEEEEEEEFFFFFFFFFFFFFFFFFFFFFEEEDDDAAAAAABBBCCCCCCBBBBBBAAAFFFFFFGGGGGGGGGGGGGGGGGGEEEEEEEEEEEEFFFGGGHHHIIIIIIHHHHHHGGGGGGHHHHHHIIIGGGGGGGGGGGGFFFFFFEEEDDDGGGGGGGGGIIILLLMMMMMMLLLIIIGGGEEEEEEGGGIIIIIIIIIFFFHHHIIIIIIGGGEEEEEEEEEGGGGGGHHHHHHHHHHHHHHHGGGDDDEEEFFFHHHKKKNNNPPPQQQUUUXXX[[[]]]\\\XXXSSSPPPNNNOOOQQQSSSUUUUUUVVVUUUTTTTTTTTTTTTTTTTTTUUUUUUUUUUUUUUUVVVVVVWWWWWWWWWWWWWWWWWWWWWUUURRRPPPNNNJJJKKKLLLKKKJJJHHHEEECCCEEEDDDBBBBBBBBBCCCEEEFFFCCCFFFIIILLLNNNMMMJJJIIIGGGFFFDDDCCCCCCDDDEEEFFFEEEEEEEEEEEEEEEEEEEEEEEEGGGHHHHHHIIIJJJJJJKKKKKKJJJJJJJJJIIIIIIIIIIIIIII}}}{{{xxxuuussspppooonnnqqqqqqpppooommmiiieeecccgggffffffeeedddddddddeeejjjgggeeefffhhhkkklllllljjjhhhfffdddbbbccccccdddcccddddddddddddcccbbbbbbfffddd```]]][[[[[[\\\]]]YYYZZZ[[[]]]___`````````\\\]]]]]]]]]]]][[[ZZZYYYXXXWWWVVVUUUVVVWWWYYYZZZ[[[YYYWWWWWWYYYYYYYYYXXXVVVVVVVVVUUUTTTRRRQQQPPPNNNNNNOOOOOOOOOOOOOOONNNRRRQQQQQQRRRSSSTTTRRRQQQOOOPPPPPPPPPQQQQQQQQQRRRKKKLLLOOOQQQSSSTTTTTTTTTQQQQQQRRRSSSUUUXXX[[[\\\]]]]]]]]]]]]]]]\\\[[[ZZZ]]]]]]]]]^^^______`````````bbbdddgggkkkpppwww|||zzzyyyxxxxxxzzz~~~zzzrrrooorrrzzzxxxlllcccbbb___YYYSSSPPPQQQTTTVVVWWWYYY[[[\\\\\\\\\\\\_________^^^]]]\\\ZZZZZZTTTQQQNNNMMMNNNMMMJJJGGGNNNNNNOOOQQQTTTXXX[[[]]][[[___ccccccaaa______```\\\\\\\\\\\\]]]^^^______cccccceeefffgggfffeeeeeedddhhhkkkiiiddd___]]]\\\VVVUUUTTTRRRRRRRRRSSSTTTOOOOOOOOOPPPQQQRRRRRRRRROOOOOOOOONNNNNNNNNMMMMMMQQQRRRTTTTTTSSSPPPLLLJJJHHHGGGFFFEEEEEEFFFGGGHHHGGGGGGGGGGGGHHHHHHHHHHHHFFFGGGJJJMMMNNNNNNMMMMMMJJJJJJKKKKKKKKKJJJJJJIIIGGGFFFEEEDDDDDDDDDDDDDDDEEEEEEFFFGGGFFFEEECCCBBBEEEEEEGGGHHHHHHGGGFFFEEECCCCCCDDDEEEFFFGGGHHHHHHAAAAAAAAAAAABBBCCCEEEEEEGGGFFFEEEDDDDDDEEEFFFGGGEEEEEEEEEEEEFFFFFFFFFFFFIIIIIIIIIKKKNNNOOONNNMMMKKKHHHFFFFFFHHHJJJKKKKKKLLLNNNPPPPPPOOONNNMMMNNNLLLLLLMMMNNNNNNMMMMMMMMMJJJKKKNNNQQQVVVZZZ^^^```cccfffiiijjjhhhbbb[[[WWWVVVXXX[[[]]]______^^^^^^]]]]]]]]]]]]]]]^^^___```^^^^^^^^^^^^^^^^^^______^^^^^^___^^^\\\YYYVVVTTTSSSUUUXXXXXXVVVPPPIIIEEEKKKIIIHHHGGGHHHIIIKKKLLLRRRUUUZZZ^^^___]]]ZZZXXXPPPNNNLLLJJJIIIIIIJJJJJJFFFGGGHHHJJJKKKLLLMMMNNNQQQRRRUUUXXXZZZ\\\]]]]]][[[[[[[[[ZZZZZZYYYYYYXXX~~~}}}}}}|||wwwwwwuuusssrrrrrrssstttyyyxxxxxxxxxwwwsssnnnjjjcccbbb```\\\ZZZ[[[^^^aaa___\\\ZZZXXXXXXXXXWWWVVVXXXZZZ[[[[[[ZZZZZZ[[[\\\[[[\\\^^^`````````___^^^\\\]]]\\\[[[YYYZZZ\\\^^^[[[ZZZYYYZZZ[[[[[[YYYWWWWWWXXXYYYXXXWWWWWWXXXZZZ]]][[[\\\___```___aaaeeedddaaa^^^]]]^^^^^^\\\YYYWWWVVVVVVXXXZZZ[[[ZZZYYYZZZYYYXXXYYY[[[\\\[[[ZZZWWWWWWXXXZZZ[[[[[[XXXVVVTTTUUUUUUUUUYYY^^^]]]XXXXXXXXXWWWXXXZZZZZZYYYXXXZZZVVVVVV]]]```\\\YYYYYYUUUWWWZZZ^^^```aaaaaaaaa[[[```dddeeeiiippprrrqqqvvvtttqqqooonnnooorrrsssuuusssqqqppprrrsssrrrqqqssswww{{{wwwrrrttt{{{}}}rrrxxxwwwkkkYYYQQQXXXbbbbbbaaahhhssswwwrrrooooooyyyxxxuuuuuuxxx{{{tttjjjddd___WWWQQQPPPRRRQQQOOOLLLRRRVVVXXX^^^hhhpppsssssswww{{{yyytttqqqrrrtttsssttttttppplllmmmssszzz{{{yyyyyy}}}{{{zzz}}}ssskkkfffcccaaa____________^^^]]]\\\\\\\\\\\\\\\\\\\\\\\\XXXWWWVVVXXX\\\```bbbcccbbbccceeeeeebbb\\\SSSMMMIIIJJJKKKIIIFFFFFFIIIMMMOOOTTTYYYYYYVVVSSSSSSUUURRRTTTVVVYYYZZZ[[[[[[[[[ZZZZZZYYYVVVSSSQQQQQQRRRIIIJJJKKKKKKLLLLLLLLLLLLJJJJJJIIIJJJJJJKKKLLLLLLPPPOOOMMMLLLKKKKKKLLLMMMJJJIIIIIIKKKNNNOOOMMMKKKKKKIIIGGGGGGIIIKKKLLLMMMPPPRRRQQQNNNNNNPPPPPPNNNOOOQQQRRRPPPNNNNNNPPPSSSSSSSSSUUUVVVWWWXXXYYYYYYQQQPPPPPPPPPPPPRRRSSSTTTZZZZZZ[[[[[[ZZZYYYWWWVVVVVVZZZ[[[ZZZ]]]cccccc^^^ddd___^^^dddiiijjjllloooxxx~~~zzztttnnnhhhbbbaaabbbhhhpppvvvuuunnngggggghhhgggdddaaaaaaeeeiiimmmhhhdddbbbdddffffffddddddddddddbbb```^^^[[[ZZZXXX___eeeddd\\\TTTOOONNNSSSSSSSSSSSSSSSTTTVVVWWWcccjjjssszzzzzzsssjjjccc^^^ZZZVVVTTTUUUUUUSSSQQQVVVUUUTTTUUUXXX[[[[[[[[[eee```^^^aaadddeeegggkkkkkkjjjjjjlllnnnppppppooo}}}xxxxxxyyyxxxxxx|||~~~yyyvvvyyy~~~{{{{{{||||||{{{zzzzzz{{{}}}~~~zzzyyyvvvuuuttttttrrrqqqvvvwwwxxxxxxuuuqqqllljjjgggfffdddaaa^^^^^^```bbbaaa```]]][[[ZZZZZZ\\\]]]bbbaaa___\\\[[[\\\___bbbeeeeeefffggghhhhhhiiiiiiffffffeeeccc```^^^^^^___ZZZZZZ[[[]]]___```^^^\\\^^^^^^^^^]]]]]]___```bbbeeebbbcccgggkkkkkklllppprrrpppooooooooommmiiieeedddbbbaaabbbdddfffgggfffdddcccbbbccceeefffeeedddaaabbbfffjjjmmmmmmjjjgggaaafffiiigggfffiiiiiihhhmmmmmmmmmnnnnnnmmmkkkjjjpppmmmnnntttvvvqqqmmmlllmmmooorrruuuwwwxxxxxxxxxsssyyy}}}}}}xxxyyy~~~zzzhhh```fffppp{{{}}}xxxsssjjjaaa]]]]]]]]]]]]___gggooouuu~~~|||yyyvvvuuuttttttrrrqqqppppppooooooooonnnnnnmmmnnnlllkkkkkknnnrrruuuvvvyyy}}}yyyoooeee___]]]^^^^^^[[[XXXXXX\\\```gggmmmssstttpppkkkiiiiiinnnooorrrtttuuuvvvvvvvvvuuutttrrroookkkhhhffffffaaaaaaaaaaaa``````___^^^^^^^^^^^^^^^___aaacccdddjjjhhhfffccc```]]]\\\[[[^^^]]]\\\^^^```___\\\YYYZZZZZZZZZZZZ\\\___bbbeeeggglllmmmiiifffeeedddbbbbbbdddffffffdddcccdddfffggghhhjjjlllmmmmmmlllkkkfffddd```]]]]]]```ccceeejjjjjjjjjjjjhhhgggfffeeeccchhhiiihhhkkkpppqqqmmmlllgggeeegggiiilllssszzzvvvoookkkkkklllpppvvv{{{{{{uuuooojjjkkkkkkiiifffggglllppptttppplllhhhhhhhhhhhhhhheeefffhhhiiiiiigggeeedddeeejjjmmmjjjbbbZZZVVVVVVXXXYYYYYYZZZ[[[^^^bbbeeesssxxxzzzqqqkkkhhhccc___]]]___bbbdddddd]]]]]]]]]___ccceeefffeeeiiidddaaadddggggggjjjmmmsssrrrrrrtttwwwyyyyyyyyy~~~yyyyyy||||||~~~sssssswwwzzz~~~}}}zzzwwwzzz{{{yyytttpppooopppuuutttsssooollljjjkkklllkkkkkkjjjfffbbbaaadddhhhqqqnnnhhhbbb^^^^^^bbbfffmmmmmmnnnoooqqqsssuuuvvvttttttssspppkkkgggeeeeee```aaacccgggkkkllljjjhhhjjjhhhggggggjjjmmmnnnooooookkkjjjooouuuvvvwwwyyy{{{|||~~~~~~yyyttttttrrrppppppppppppooonnnjjjiiiiiijjjmmmnnnmmmmmmeeehhhnnnuuuzzz{{{yyyvvvttt{{{{{{vvvwww{{{}}}~~~zzzxxx{{{zzz}}}~~~}}}~~~~~~qqqgggllluuuwwwpppmmmoooqqqttt~~~~~~}}}~~~{{{xxxwwwzzz~~~yyysssssstttsssqqqnnnooossswww}}}zzz{{{{{{zzzxxxvvvuuussssssssssssrrrsssuuuxxxzzz|||~~~|||yyyvvvrrrooonnnqqqpppppppppooommmiiifff___bbbeeeggghhhkkkqqquuu|||{{{wwwtttqqqpppssswwwyyyxxxvvvuuuuuuyyy{{{~~~~~~zzzxxxqqqmmmfffbbbaaadddjjjmmmpppooonnnmmmkkkjjjhhhhhhcccgggiiiiiikkkoooooonnnmmmjjjgggeeeeeeiiivvvyyyqqqooommmmmmnnnrrrvvvvvvqqqmmmggghhhhhhfffdddfffjjjooouuusssooojjjfffeeefffhhhcccfffjjjnnnoooooonnnmmmtttvvvwwwqqqhhhaaa```bbbgggggggggeeeddddddgggiiivvvyyy|||~~~|||wwwqqqlllkkkfffbbbaaadddiiinnnqqqffffffhhhkkkppprrrsssrrroooiiifffhhhjjjjjjmmmqqqsssrrrrrrtttwwwxxxxxxxxxyyyyyy~~~|||vvvtttxxx|||~~~|||||||||zzz|||{{{vvvnnniiikkknnn|||xxxqqqiiicccaaadddgggnnnooorrruuuxxx{{{}}}}}}~~~yyytttqqqpppiiikkkoootttwwwxxxvvvtttsssqqqnnnooorrrvvvwwwwwwxxxrrrppptttyyyzzz{{{|||zzz~~~~~~~~~|||{{{yyyuuuoookkkiiihhhhhhjjjlllmmmmmmlllfffiiinnnvvv}}}}}}~~~yyy|||tttiiilllsss|||vvvwww|||~~~}}}|||wwwtttppppppsssxxx}}}~~~~~~|||{{{zzzzzzzzzyyyyyyyyyzzz}}}~~~|||yyyxxxvvvuuutttsssppplllhhheee]]]aaafffhhhhhhjjjqqqwww~~~}}}wwwssspppooosssxxx{{{|||zzzvvvtttxxx{{{~~~|||wwwssskkkhhhbbb^^^]]]aaafffiiikkkjjjhhhfffeeeccccccbbb___bbbeeefffgggiiijjjkkkllllllllljjjgggkkk{{{wwwrrrkkkjjjiiikkkmmmmmmkkkhhhfffhhhhhhfffddddddiiimmmttttttsssnnniiiggghhhkkkiiilllrrrvvvyyyyyywwwvvv}}}~~~}}}wwwoookkklllpppuuuvvvwwwuuuqqqmmmlllmmmpppqqqrrrsssrrrpppnnnlllllljjjggggggjjjnnnsssvvvnnnoooqqqvvv{{{~~~~~~xxxrrrnnnoooqqqppprrrvvvsssqqqqqqqqqssstttsssqqq~~~tttwww}}}wwwxxx~~~tttllljjjjjjvvvtttpppkkkgggfffgggjjjjjjmmmrrrwww|||~~~}}}{{{zzzvvvwww{{{~~~zzzxxxwwwvvvxxxzzz{{{{{{zzzwwwyyy{{{{{{{{{}}}||||||~~~yyypppjjjgggfffeeefffiiijjjiiihhhhhhiiilllrrryyyyyyxxx{{{}}}|||}}}}}}}}}~~~~~~qqqrrrwwwzzzqqqooosss}}}|||yyywwwuuusssssstttuuutttsssqqqpppkkkhhheeeeeejjjpppuuuxxxyyyzzzvvvxxxwwwvvvuuuttttttttttttvvvvvvuuuuuuwwwyyy|||}}}{{{{{{||||||{{{yyywwwvvvqqqqqqooolllhhhdddaaa``````eeeiiijjjiiikkkpppuuuxxxxxxqqqnnnkkkkkknnnssswwwyyywwwtttqqqnnnqqqsssuuusssooojjjgggfffdddbbb``````cccfffhhhllllllkkkjjjiiihhhgggfffhhhjjjmmmppppppppprrruuuuuuyyy}}}}}}xxxzzz}}}qqqpppooonnnoooooonnnmmmoooqqqsssqqqnnnnnnpppssswwwzzz|||{{{wwwuuuuuuvvvwww{{{yyyxxx|||~~~zzzzzzxxxwwwvvvuuuttttttuuuvvvwwwxxxyyyzzz{{{{{{}}}}}}xxxyyy{{{|||~~~~~~}}}}}}}}}|||zzzyyyyyyyyywwwuuu~~~~~~uuurrrzzz}}}uuuwwwxxxuuupppmmmmmmnnntttxxx~~~{{{wwwxxxxxxooottt~~~wwwsssttt{{{{{{{{{zzzxxxvvvuuuwwwxxx~~~}}}xxxooogggdddccceeeeeefffeeeeeegggjjjlllhhhkkkoootttxxxzzz{{{{{{}}}}}}{{{{{{|||~~~{{{zzzyyyvvvwww{{{}}}xxxssspppooorrrtttyyy|||}}}xxxqqqkkkdddcccbbbcccdddeeedddcccbbbaaabbbfffmmmtttyyy|||yyyyyytttnnnnnntttzzz{{{~~~zzzvvvuuuyyy~~~~~~~~~}}}xxxssssssrrrssssssuuuwwwxxx{{{zzztttpppppprrrvvvxxxzzz}}}}}}~~~~~~{{{{{{|||zzzrrrfffbbbeeepppyyy~~~wwwrrrtttvvvyyy}}}~~~xxxrrrooommmkkkiiifffhhhjjjlllllllllkkkjjjhhhfffdddeeejjjpppuuuwwwttt|||wwwrrruuuxxxyyyxxxxxx{{{~~~~~~|||yyyxxxwwwxxxxxxxxxyyy|||~~~zzztttooommmooonnnmmmlllkkklllmmmnnnrrrssstttuuuwwwyyy{{{|||||||||{{{zzzxxxuuusssrrrooonnnmmmiiidddbbbaaabbbfffiiimmmnnnmmmnnnrrruuuxxxyyyuuusssqqqqqqrrruuuyyy||||||zzzwwwnnnooooooooonnnkkkgggeeeffffffffffffggghhhiiijjjqqqrrrttttttttttttrrrrrroooqqquuuxxxxxxvvvyyy~~~zzzyyyxxxvvvvvvvvvvvvvvvwww{{{~~~|||zzz{{{}}}|||~~~|||}}}~~~|||{{{yyy|||~~~{{{{{{{{{ssspppsss|||{{{yyy{{{yyyzzz|||~~~wwwnnnhhhmmmrrryyywwwqqqnnnmmmmmmlllfff^^^YYYZZZ\\\___bbbfffjjjlllmmmoooqqqoookkkhhhkkkrrryyy|||}}}xxx~~~~~~}}}yyysssooommmjjjnnnxxx{{{uuussstttzzzzzz|||vvvooonnnqqqtttuuussstttxxx}}}wwwtttooojjjiiijjjllloooffffffeeecccbbbcccfffiiisssqqqmmmiiidddbbb``````WWWXXXYYY[[[\\\```eeeiiihhhhhhhhhiiikkknnnppprrrqqqrrrrrrrrrpppqqqrrrttt||||||~~~xxxuuutttqqqlllhhhlllrrrxxxvvvppphhh```\\\[[[\\\```bbbfffjjjlllkkkgggccc\\\[[[ZZZZZZ[[[[[[ZZZYYYWWWVVVWWW[[[```eeehhhjjjlllqqqqqqjjjeeefffjjjlllkkkppptttsssnnnhhhffffffhhhppptttsssqqqsssrrrnnnllllllkkkmmmppptttyyy|||wwwxxxvvvpppnnnooonnnkkkffffffffffffgggiiijjjkkknnnqqqvvvzzz|||{{{zzzxxxvvvyyy{{{|||{{{yyyxxxxxxyyywwwvvvxxx{{{|||{{{zzzwwwxxxyyyvvvqqqmmmjjjjjjhhhlllqqquuuxxx{{{{{{wwwrrrmmmmmmrrryyy~~~wwwvvvpppeeebbbfffjjjqqqwwwyyy|||xxxvvvzzz}}}vvvqqqooommmjjjggghhhiiijjjkkklllnnnqqqsssrrrvvvwwwuuuuuuxxxzzzxxx}}}xxxrrrmmmjjjhhhgggfffbbbdddgggkkkmmmmmmllllllkkkiiihhhjjjnnnsssvvvxxxvvv~~~wwwtttnnnrrrvvvvvvtttqqqqqqsssxxxwwwuuutttuuuuuuuuutttsssuuuwwwzzz}}}~~~}}}yyyqqqmmmmmmqqqpppnnnmmmmmmnnnooopppsssuuuxxx||||||yyywwwvvvuuusssrrrppplllhhhgggiiilllmmmnnnppprrrtttuuuvvvwww~~~~~~}}}~~~zzzyyyxxxvvvtttsssrrrrrrooonnnmmmmmmmmmnnnoooooouuuwww{{{~~~}}}|||tttuuuyyy~~~|||yyy|||~~~}}}{{{{{{|||}}}{{{}}}ssslllhhhqqqsssqqqjjjfffffffffdddlllhhhcccbbbfffmmmtttxxxqqqooonnnllljjjiiiiiiiiinnnppprrrrrrqqqqqqrrrsssqqqppprrrwww||||||vvvpppppplllkkkoooqqqqqqqqqttt~~~xxxoooiiiiiilllppprrrvvvxxxuuurrrmmmmmmmmmnnnnnnoooooooooooojjjllloooooommmjjjfffddd___aaaeeelll{{{wwwggg]]]\\\___hhhgggddd\\\RRRLLLLLLOOOJJJMMMQQQTTTVVVYYY\\\___ZZZWWWUUUYYY```fffhhhgggeeejjjkkkggghhhmmmpppmmmqqqooollleee___\\\]]]```bbbcccjjjzzzvvvjjjaaa]]]^^^```jjjjjjkkknnnppplllbbbZZZVVV[[[___]]]ZZZ[[[aaaggggggeeebbb`````````___]]]YYYYYYXXXVVVVVVXXX]]]```lllgggaaa]]]]]]___aaabbbRRRRRRRRRRRRTTTXXX^^^ccchhheeeaaa______bbbfffiiigggggghhhgggfffgggiiilllttttttuuuyyy}}}yyyppppppsssjjjiiiiiifff___ZZZ___hhhkkkggg```VVVMMMJJJLLLOOOTTTTTTUUUWWWZZZZZZXXXVVVTTTRRRQQQQQQRRRRRRPPPOOORRRRRRTTTWWW\\\_________cccmmmssskkk```]]]___bbbbbbfffjjjiiiddd___^^^___XXX```eeebbbaaaeeeeeeccc___^^^^^^___ccchhhmmmpppkkkmmmjjjeeeeeehhhiiihhhcccddddddeeefffhhhiiijjjlllkkkkkkmmmoooppppppnnnnnnpppqqqqqqppppppqqqrrrqqqooonnnpppsssuuutttrrrrrruuuvvvssslllgggfffhhhfffkkkppptttwwwzzzyyypppgggfffkkkrrrvvvvvvtttlllkkkppprrrwwwyyyxxxxxx|||~~~}}}~~~~~~}}}xxxsssrrrwww}}}~~~yyyqqqjjjgggfffggggggffffffggggggiiimmmrrrvvvpppsssrrrooopppuuuwwwvvv|||wwwqqqllliiihhhgggfffbbbdddiiimmmpppqqqqqqppplllkkkjjjlllooosssuuuvvv~~~}}}}}}xxx||||||wwwuuuuuuyyyyyyyyyzzz{{{{{{yyyxxxsssuuuxxx{{{~~~~~~tttqqqrrryyyxxxuuussssssssstttuuutttwww|||}}}|||||||||wwwvvvtttppplllmmmqqquuuuuuuuuvvvxxx|||~~~~~~}}}}}}}}}~~~zzzyyyvvvtttttttttvvvwwwxxx{{{}}}~~~tttwwwxxxtttnnngggdddccchhhfffbbb]]]ZZZZZZ\\\___]]]^^^______```cccgggjjjfffiiimmmmmmiiieeecccccccccbbbbbbbbbbbbcccddddddaaabbbccceeefffggghhhhhhcccbbbaaaaaaaaaccceeegggkkkgggaaa]]]]]]```dddgggsssxxx{{{mmmffffffbbbccceeeeeecccbbbcccdddcccbbbbbbaaa```___^^^]]]```dddgggllluuurrraaaWWWVVVYYYbbbiiihhh[[[NNNJJJJJJJJJLLLJJJHHHHHHIIIKKKLLLLLLKKKNNNPPPQQQVVV^^^ccccccddd______eeekkknnnooooookkkhhhccc^^^[[[[[[]]]___iiiaaaccckkkttt~~~xxxssskkkaaa[[[[[[___cccaaaaaaaaa___\\\YYYUUUSSSRRRUUUVVVRRRRRRWWWZZZ[[[^^^bbbccc```]]]___^^^\\\YYYXXXVVVSSSRRRUUU[[[```llldddYYYTTTTTTWWWXXXWWWOOOOOONNNOOOQQQUUUXXXZZZ]]][[[WWWSSSSSSTTTWWWYYYYYYZZZ\\\]]]]]][[[YYYXXXcccfffjjjnnnqqqqqqpppooosssyyy|||xxxmmmdddaaabbb[[[ZZZWWWSSSPPPPPPUUUYYY```]]]WWWPPPLLLIIIIIIIIIJJJKKKNNNPPPQQQQQQQQQQQQMMMQQQUUUWWWUUUTTTTTTUUUTTTUUUUUUVVVXXXZZZ\\\]]]aaaiiiooommmddd]]]\\\^^^aaafffhhhccc^^^]]]\\\YYY\\\XXXVVVZZZ\\\[[[[[[^^^```______bbbeeehhhiiiiiicccbbbbbbbbbccceeegggiiicccbbbbbbbbbbbbdddeeefffeeedddccccccfffiiijjjkkklllllljjjhhhffffffiiilllnnniiigggkkknnnmmmlllnnnuuuvvvtttnnngggcccccceeegggggghhhjjjoooyyy~~~rrrkkklllrrrwww~~~yyyuuurrrooonnnvvvxxxzzz{{{zzzzzzzzz{{{{{{{{{zzzwwwtttrrrrrrsssxxxooojjjkkklllkkkiiicccfffjjjmmmnnnnnnooopppwwwsssppppppsssuuuuuutttwwwuuurrrooommmlllkkkjjjhhhmmmsssvvvvvvvvvwwwyyyvvvuuutttrrrqqqrrruuuwww}}}~~~yyy{{{~~~}}}{{{|||~~~}}}zzzzzz~~~wwwuuuvvvvvvyyy|||zzzvvvtttvvvzzzuuuzzz~~~~~~|||yyysssrrrsssuuuyyy~~~|||{{{}}}~~~|||}}}~~~~~~|||{{{|||~~~eeefffgggeeeaaa______aaaeeeccc^^^ZZZWWWVVVXXXZZZYYYZZZZZZZZZZZZ\\\```ccccccgggllllllhhhccc___]]]]]]]]]]]]]]]]]]]]]\\\\\\VVVWWWXXXXXXYYYYYYXXXXXXWWWWWWUUUUUUUUUVVVXXXYYY[[[YYYVVVTTTTTTXXX^^^cccpppooorrrwwwuuullldddaaa____________^^^^^^]]]\\\\\\\\\[[[ZZZYYYZZZZZZZZZ]]]eeennnttt{{{zzzmmm^^^VVVWWW\\\ccciiiiii\\\OOOIIIIIIHHHHHHFFFDDDBBBCCCDDDEEEFFFGGGJJJMMMPPPWWWbbbiiikkkiiijjjmmmuuu~~~}}}uuunnniiiccc___^^^```bbbdddggg^^^]]]ccclll}}}{{{pppooolllddd]]]YYY[[[]]]___^^^]]]^^^]]][[[VVVRRRPPPTTTTTTRRRRRRWWWZZZZZZ\\\```aaa```bbbfffgggdddbbb___ZZZUUUSSSUUUZZZ^^^bbb\\\UUUSSSTTTVVVUUUSSSMMMNNNPPPRRRSSSSSSSSSSSSRRRRRRQQQPPPOOOOOOPPPPPPSSSTTTUUUVVVUUUTTTRRRQQQXXXYYY\\\___bbbdddeeefffiiikkkjjjddd[[[TTTRRRRRRQQQQQQPPPNNNLLLMMMPPPTTTWWWTTTPPPLLLHHHGGGGGGGGGGGGGGGIIIKKKLLLMMMMMMNNNNNNRRRVVVXXXVVVSSSRRRRRRPPPQQQRRRTTTWWWYYYZZZ[[[\\\aaaffffffccc```bbbdddaaagggiiifffddddddccc```ccc]]]YYYZZZZZZXXXXXX[[[^^^^^^___bbbeeefffdddbbb```___^^^___```ccceeegggfffdddcccaaa`````````aaaaaa___^^^^^^```bbbeeefffggghhhiiigggeeedddeeefffiiihhhiiikkkllljjjmmmqqqyyyxxxtttnnniiifffeeefffggghhhkkknnntttzzzqqqooorrr|||~~~|||yyywwwvvvwwwwwwwwwxxxzzzyyyxxxxxxyyy{{{zzzzzzzzzxxxvvvvvvwwwxxx~~~xxxqqqnnnoooooonnnkkkfffggghhhkkknnnqqqtttuuuvvvsssqqqqqqsssttttttrrrsssrrrqqqnnnlllkkklllnnnooossswwwxxxxxxwwwxxxyyyzzzzzzyyyyyyxxxyyyzzz|||zzz}}}}}}zzzyyy|||~~~xxxwwwxxx{{{||||||~~~|||zzztttsssuuuvvvzzz}}}||||||XXXXXXXXXXXXXXXZZZ]]]```ccc```\\\WWWUUUUUUVVVWWWVVVWWWVVVUUUTTTUUUXXX[[[___cccggghhheee___ZZZWWWXXXXXXYYYYYYXXXWWWUUUTTTRRRRRRQQQQQQPPPPPPOOOOOONNNMMMKKKJJJJJJJJJJJJKKKKKKLLLLLLLLLNNNTTT]]]dddooojjjjjjqqqvvvqqqfff___^^^[[[YYYYYY[[[[[[XXXUUUWWWVVVTTTRRRRRRTTTVVVWWWYYYfffssszzz~~~|||~~~|||wwwlllaaa\\\^^^bbbccchhhggg]]]QQQKKKJJJJJJLLLJJJFFFCCCBBBBBBCCCDDDCCCGGGKKKOOOZZZiiitttxxx|||{{{tttooommmnnnoooooofff\\\YYY\\\cccuuuwwwppptttwwwsssjjjcccbbbeeebbbaaaaaaeeehhheee]]]VVVSSSWWWWWWUUUUUUYYY\\\\\\ZZZ\\\^^^```fffnnnoookkkjjjddd\\\UUUQQQRRRVVVYYYXXXUUUSSSSSSUUUVVVSSSQQQLLLNNNRRRTTTTTTRRROOOLLLMMMNNNQQQRRRRRRPPPNNNLLLMMMNNNOOOOOOOOONNNLLLKKKSSSTTTWWWZZZ^^^bbbeeeggggggddd]]]VVVQQQMMMKKKKKKIIIJJJKKKKKKJJJKKKNNNPPPMMMLLLJJJHHHFFFFFFFFFFFFDDDDDDEEEFFFGGGHHHJJJKKKPPPTTTXXXYYYXXXUUURRRQQQOOOPPPRRRUUUWWWXXXYYYZZZVVVXXX[[[^^^```bbbcccdddaaafffjjjiiiiiimmmnnnmmmnnnfff___\\\YYYVVVWWWYYYZZZ\\\```dddfffddd___[[[[[[[[[ZZZ[[[]]]```ccceeehhhfffccc```]]][[[ZZZZZZ^^^\\\[[[ZZZZZZ]]]```bbbbbbdddfffeeecccaaa``````ccccccfffhhhgggfffkkktttzzzvvvqqqnnnkkkjjjhhhgggdddhhhmmmpppwwwvvvqqqqqqzzz}}}{{{{{{yyywwwvvvvvvxxx{{{}}}zzz{{{{{{zzzxxxwwwwwwxxxwwwxxxyyyyyyyyyzzz}}}~~~{{{wwwvvvwwwvvvtttqqqnnnkkkiiijjjoootttvvvwwwwwwuuuttttttttttttsssqqqpppqqqqqqooommmmmmqqqtttvvvxxxzzz{{{zzzzzz|||}}}zzz~~~~~~zzzyyyzzz||||||}}}yyyxxxyyy{{{~~~}}}~~~}}}wwwvvvwwwxxx{{{~~~~~~VVVVVVVVVWWWXXX[[[^^^```ccc```[[[XXXVVVVVVVVVVVVWWWWWWVVVTTTRRRRRRUUUWWW[[[]]]``````___[[[XXXVVVVVVWWWXXXXXXWWWTTTRRRPPPPPPOOOOOONNNNNNNNNNNNNNNLLLKKKIIIGGGFFFFFFFFFFFFFFFIIIKKKLLLNNNUUU___hhhooolllppp{{{yyykkkaaa]]]XXXUUUVVVZZZ\\\YYYUUUWWWTTTQQQNNNMMMOOOQQQSSSUUUbbboootttvvvyyy{{{zzz{{{zzzuuummmfffbbbbbbdddeeehhhggg```WWWSSSUUUWWWXXXVVVRRRMMMIIIGGGHHHIIIGGGKKKOOOTTT```rrr|||tttrrrssseee[[[XXX[[[```pppyyyrrrpppxxx}}}tttmmmnnnqqqllllllooovvvzzzuuuhhh]]]ZZZ^^^^^^ZZZYYY\\\^^^]]]XXXXXXYYY\\\eeennnoookkkiiicccYYYPPPLLLLLLPPPSSSTTTRRRRRRTTTVVVWWWUUUSSSLLLOOORRRTTTTTTRRROOOLLLMMMOOORRRTTTUUUSSSQQQOOOMMMMMMNNNNNNMMMLLLKKKJJJQQQTTTYYY___eeeiiilllnnngggaaaZZZTTTRRRQQQNNNLLLHHHJJJLLLMMMNNNNNNOOOOOOIIIIIIHHHGGGGGGGGGGGGGGGDDDDDDCCCCCCDDDFFFHHHIIIOOORRRVVVYYYYYYWWWTTTSSSRRRSSSUUUWWWYYYYYYYYYYYYYYYYYY\\\ccciiikkkhhhdddaaaeeeggggggkkksssyyyyyyuuulllbbb^^^ZZZVVVWWWZZZWWW[[[aaafffiiifff```[[[YYYYYYYYYYYY[[[^^^aaacccfffdddaaa]]]ZZZXXXWWWWWW^^^^^^\\\[[[ZZZ[[[___aaa```bbbcccbbbaaa______```______bbbdddeeeeeellluuuvvvsssqqqrrrsssrrroookkkffflllrrruuu{{{wwwpppoooppptttxxxzzzzzzzzz{{{}}}{{{{{{{{{~~~~~~vvvuuusssrrrsssuuuxxxzzz}}}}}}xxxuuuttttttuuuwwwxxxzzz}}}}}}zzzwwwxxxsssnnnnnnrrrvvvuuurrrxxxxxxxxxwwwwwwuuusssrrrppprrrtttrrrqqqrrrwww|||xxxyyy{{{|||}}}~~~~~~~~~}}}|||}}}}}}~~~~~~}}}|||zzzyyyyyyzzz{{{|||}}}}}}{{{zzzyyyyyyzzz}}}~~~}}}~~~}}}||||||{{{|||XXXXXXXXXYYYZZZ[[[ZZZZZZ```\\\XXXUUUVVVVVVVVVUUUUUUUUUTTTRRRPPPQQQSSSUUUZZZYYYXXXWWWXXXXXXXXXXXXTTTUUUVVVVVVUUURRROOONNNJJJJJJJJJJJJKKKLLLMMMNNNMMMKKKIIIGGGGGGHHHIIIKKKLLLMMMNNNOOOQQQWWW___fffkkkppp|||{{{kkkaaaXXXTTTQQQSSSYYY\\\ZZZWWWWWWTTTOOOJJJHHHIIIKKKMMMPPPYYYaaacccgggpppyyy}}}|||{{{wwwqqqlllgggdddcccjjjkkkkkkiiieeeeeejjjpppmmmlllhhhccc\\\YYYXXXYYYZZZ]]]___bbblll||||||lllggghhh___WWWWWWZZZ]]]jjjppphhhfffnnnuuutttmmmjjjmmmrrrsssuuu{{{~~~nnn```^^^bbbaaa]]]ZZZ[[[\\\ZZZUUUUUUTTTVVV^^^fffgggbbbccc___WWWNNNGGGGGGLLLRRRRRRRRRRRRTTTUUUVVVUUUTTTMMMOOOPPPRRRSSSSSSSSSRRRNNNOOOQQQRRRSSSTTTSSSSSSNNNMMMMMMMMMLLLKKKJJJJJJIIINNNWWW```gggkkkmmmmmm^^^ZZZTTTRRRRRRRRRNNNJJJKKKLLLNNNPPPRRRRRRPPPOOOIIIIIIHHHGGGGGGGGGGGGGGGFFFEEEDDDCCCCCCDDDEEEFFFHHHKKKPPPTTTWWWWWWVVVTTTVVVVVVWWWWWWXXXXXXWWWWWW^^^```hhhttt~~~yyyqqqfffggggggffflllxxxtttkkkbbb]]]YYYVVVVVVXXXVVVZZZ```gggkkkjjjeeeaaa[[[ZZZYYYYYYZZZ\\\___```aaa___]]][[[YYYXXXXXXXXX___``````^^^[[[[[[^^^```bbbbbbbbb```______bbbddddddcccdddgggiiilllsss|||yyyzzz||||||yyy}}}tttnnnnnnkkkmmmooorrrtttwwwyyyzzztttttttttuuuxxx}}}wwwvvvuuuuuutttttttttttt~~~|||uuuqqqrrrsssuuuvvvxxx|||~~~||||||wwwttttttxxxyyyuuuqqqyyyyyyyyyxxxvvvtttsssssspppsssuuuvvvvvvwww{{{}}}}}}}}}~~~~~~}}}|||||||||}}}}}}~~~~~~{{{yyyzzzyyyxxxxxxyyyyyyyyyyyy~~~}}}|||{{{{{{{{{yyyxxx|||||||||{{{{{{}}}~~~~~~~~~~~~~~~XXXWWWVVVWWWXXXWWWUUUSSSYYYUUUQQQPPPRRRSSSRRRQQQRRRRRRQQQPPPNNNOOOQQQTTT[[[XXXTTTRRRSSSUUUWWWWWWRRRRRRSSSRRRQQQOOOMMMLLLJJJIIIIIIJJJKKKNNNPPPQQQJJJIIIHHHHHHJJJOOOUUUXXX[[[YYYVVVUUUVVVYYY]]]___ccckkkzzzsssddd\\\SSSQQQOOOPPPUUUXXXXXXXXXVVVRRRMMMHHHFFFFFFGGGHHHLLLQQQUUUXXXaaappp|||vvvqqqkkkhhhlllnnnrrrwwwxxxzzz{{{zzz{{{xxxyyyxxxwww}}}vvvddd]]]^^^XXXRRRTTTVVVXXXbbbfff\\\[[[aaaffffffbbbaaafffkkknnnqqqwww~~~xxxiii]]][[[______ZZZWWWWWWWWWTTTSSSTTTRRRQQQUUU[[[[[[WWW]]]]]]XXXOOOEEEDDDLLLTTTRRRSSSTTTUUUUUUTTTSSSRRRNNNNNNOOOPPPRRRSSSUUUVVVQQQRRRSSSTTTUUUWWWXXXYYYMMMLLLKKKJJJIIIIIIHHHHHHDDDJJJTTT]]]dddhhhhhhgggXXXUUURRRQQQRRRQQQMMMJJJLLLLLLNNNQQQSSSSSSQQQOOOJJJJJJHHHGGGGGGHHHIIIIIIIIIHHHGGGFFFEEEDDDDDDDDDCCCEEEIIINNNTTTVVVVVVUUUVVVVVVUUUUUUUUUVVVWWWWWW[[[bbbpppqqqqqqooonnnsss}}}nnnggg```]]]ZZZVVVTTTVVVWWWYYY^^^dddiiikkkjjjhhh___^^^\\\ZZZZZZ[[[\\\]]][[[ZZZYYYXXXXXXYYYZZZ[[[___aaacccaaa]]][[[]]]___bbbbbbbbb``````bbbfffiiimmmnnnpppsssrrrtttxxxrrrpppppppppoooppprrrvvvxxxxxxwwwppprrrssstttuuuxxx|||zzz{{{|||}}}{{{xxxtttrrrzzz~~~wwwssstttuuuuuuvvvwwwzzz~~~|||zzzzzz}}}}}}{{{yyyzzz{{{{{{yyyvvvuuuuuuvvvuuuwwwyyy{{{~~~~~~~~~~~~~~~}}}zzzwwwqqqqqqrrruuuyyy|||}}}}}}}}}}}}~~~|||}}}{{{wwwuuuvvvyyy}}}}}}}}}}}}}}}}}}~~~~~~ZZZWWWTTTSSSUUUVVVUUUTTTSSSOOOKKKLLLOOORRRPPPNNNPPPPPPPPPOOONNNPPPSSSUUU]]]YYYTTTRRRSSSTTTSSSRRRRRRRRRQQQPPPOOOOOONNNNNNLLLLLLKKKLLLMMMPPPRRRTTTKKKJJJJJJMMMTTT___iiiooorrrlllddd`````````^^^\\\\\\aaakkktttrrrfff[[[VVVQQQQQQPPPPPPRRRTTTVVVXXXUUURRRNNNJJJGGGGGGHHHIIIMMMRRRVVV]]]kkk{{{uuuppplllhhhkkkuuuzzzmmmbbb]]]\\\UUUOOOPPPRRRRRR[[[___VVVUUUYYY]]]]]]\\\[[[^^^aaabbbdddiiimmmmmmggg___XXXUUUYYYZZZVVVSSSTTTTTTRRRSSSTTTRRRNNNNNNQQQRRRPPPVVVZZZZZZPPPCCC@@@JJJUUUSSSVVVZZZ[[[YYYUUUQQQNNNLLLMMMNNNPPPQQQRRRSSSTTTPPPQQQSSSUUUWWWXXXYYYYYYLLLKKKJJJIIIHHHGGGGGGGGGFFFJJJRRRYYY___bbbbbbbbbWWWUUUSSSQQQPPPOOOMMMLLLKKKKKKLLLPPPTTTVVVUUUSSSNNNLLLKKKJJJJJJLLLOOOQQQPPPOOOOOOMMMKKKIIIHHHFFFEEEEEEHHHMMMTTTXXXYYYXXXWWWVVVUUUTTTUUUXXXZZZ\\\]]]gggyyy}}}nnnhhhdddccc```ZZZVVVVVVXXXXXXZZZ^^^ccchhhjjjjjjbbb```^^^[[[YYYYYYYYYZZZXXXXXXWWWWWWXXXZZZ\\\]]]```dddgggfffaaa]]]]]]___```aaabbbcccccceeehhhkkkrrryyyxxxxxx{{{xxxuuutttvvvrrrqqqqqquuuyyyzzzwwwtttpppssswwwxxxwwwwwwxxxyyy|||xxx|||~~~wwwsssssswww}}}}}}zzzyyyyyyyyyxxxvvvvvvxxx|||~~~{{{zzz|||~~~|||}}}|||zzzwwwuuuooopppsssyyy}}}yyyvvvvvvwwwyyyzzz|||~~~~~~}}}]]]XXXTTTRRRUUUYYYZZZ[[[QQQMMMIIIKKKOOORRRQQQNNNPPPPPPQQQPPPPPPRRRUUUXXX^^^ZZZVVVTTTTTTSSSPPPMMMTTTSSSRRRQQQPPPPPPPPPQQQKKKKKKJJJJJJKKKMMMOOOQQQNNNNNNOOOTTT___mmm{{{}}}rrrlllkkkiiiccc^^^YYYYYY]]]dddddd^^^VVVSSSSSSSSSSSSRRRQQQSSSVVVYYYVVVSSSPPPMMMKKKKKKLLLMMMRRRWWW^^^hhhzzz|||uuuppplllhhhaaafffuuu{{{wwwrrriiikkkpppnnnkkkgggddd```]]][[[UUUOOOOOOPPPOOOXXX^^^UUUQQQTTTWWWXXXWWWWWWWWWWWWXXXZZZ\\\^^^]]][[[WWWUUUQQQVVVWWWTTTSSSTTTTTTRRRRRRUUUSSSNNNKKKMMMOOONNNQQQXXXZZZPPPAAA<<>>@@@AAAAAA@@@@@@AAACCCCCCBBBAAA@@@AAACCCEEEFFFIIIIIIHHHGGGEEEDDDCCCCCC???@@@AAABBBBBBAAA@@@???>>>>>>=========>>>???@@@AAAAAABBBBBBCCCDDDDDDEEEBBBCCCEEEFFFFFFFFFEEEDDDDDDEEEGGGGGGFFFEEEEEEFFFFFFEEEFFFHHHJJJIIIGGGEEEDDDDDDCCCDDDDDDEEEFFFFFFEEEEEEFFFGGGIIIJJJJJJJJJJJJJJJJJJKKKLLLKKKJJJIIIHHHIIIJJJKKKLLLMMMNNNOOOJJJLLLOOORRRQQQOOOLLLJJJHHHHHHGGGFFFGGGHHHIIIJJJKKKLLLKKKLLLQQQZZZ]]][[[WWWTTTQQQQQQSSSTTTSSSRRRWWWXXXYYYXXXXXXXXXZZZ[[[[[[YYYVVVSSSRRRSSSUUUVVVWWWVVVUUUUUUUUUWWWYYYZZZ^^^^^^^^^]]]ZZZYYYZZZ[[[\\\ZZZYYYXXXWWWXXXZZZ[[[[[[ZZZXXXVVVTTTSSSSSSSSSSSSTTTVVVVVVVVVVVVXXXYYY\\\[[[[[[ZZZYYYYYYZZZZZZWWWWWWVVVVVVVVVVVVVVVVVVVVVUUUTTTRRRQQQQQQPPPPPPPPPPPPPPPPPPQQQRRRSSSTTTTTTUUUUUUUUUVVVVVVWWWWWWUUUXXX[[[\\\\\\ZZZVVVTTTWWWYYY[[[\\\]]]^^^aaaddd___bbbaaa]]]ZZZ\\\^^^]]]```___]]]]]]]]]___bbbddd___bbbddddddbbbaaabbbdddccc```\\\YYYZZZ[[[\\\\\\aaacccfffjjjllljjjfffbbb]]][[[XXXXXXZZZZZZYYYWWW[[[]]]______^^^]]]]]]]]]ZZZYYYXXXXXXZZZ\\\\\\[[[^^^___```bbbbbbbbbaaa``````___]]]\\\\\\[[[XXXVVVTTTUUUWWWYYY[[[\\\]]]]]]___aaacccaaa]]]ZZZ[[[]]]XXXYYY[[[^^^```bbbcccdddfffffffffgggggghhhiiijjjhhhkkkmmmmmmjjjiiijjjlllfffffffffeeeffffffgggggggggbbb```aaaaaa___```ccceeefffgggfffddddddeeefffiiimmmnnniiibbb___ccchhhfffgggfffbbb]]]\\\^^^```bbbcccddddddbbbbbbcccddd___```___^^^]]]]]]```bbbbbb___]]]\\\^^^```bbbbbb_________```ccceeehhhiiikkkjjjiiihhhgggggghhhiiigggfffeeeddddddddddddeee``````____________``````bbbdddfffgggggggggiiijjjhhhhhhiiijjjjjjjjjiiihhhffffffgggiiikkkkkkjjjhhheeecccaaa______```bbbccceeeeeeeeeeeefffhhhjjjkkkfffhhhkkkjjjgggddddddddd______```bbbgggmmmsssvvvyyy|||}}}xxxoooiiilllqqqpppooommmkkkjjjiiiiiiiiiiiiiiijjjjjjiiihhhgggfffhhhjjjlllpppsssuuuwwwwwwuuu~~~yyysssooommmkkkhhheee\\\]]]^^^]]]^^^___bbbdddbbbaaa______^^^]]]ZZZXXXYYYYYYZZZ\\\^^^^^^\\\ZZZXXXXXXYYYYYYZZZZZZ[[[\\\\\\___bbbaaa]]]YYYWWWWWWWWWVVVVVVXXXYYYYYYWWWUUUUUURRRNNNMMMMMMNNNNNNMMMNNNMMMMMMMMMNNNOOOOOOPPPVVVTTTQQQPPPPPPPPPPPPOOOLLLLLLLLLLLLLLLLLLLLLLLLHHHKKKMMMNNNNNNMMMMMMNNNOOONNNMMMLLLKKKKKKKKKKKKIIIHHHGGGDDDCCCCCCEEEGGGCCCDDDEEEFFFFFFFFFFFFFFFFFFEEEBBBBBBBBBCCCBBB@@@<<<>>>@@@AAA@@@???@@@AAABBBBBBAAAAAABBBCCCEEEFFFGGGFFFFFFEEEDDDCCCBBBBBB@@@AAADDDEEEEEECCCAAA??????>>>===<<<<<<===???@@@???@@@@@@AAAAAABBBCCCCCCAAABBBCCCDDDDDDDDDCCCBBBAAACCCEEEFFFEEEEEEFFFGGGGGGGGGFFFGGGHHHGGGEEECCC@@@@@@AAABBBCCCEEEFFFGGGEEEEEEEEEGGGIIIJJJIIIHHHIIIIIIJJJKKKLLLKKKJJJHHHFFFGGGHHHJJJLLLMMMOOOOOOIIILLLOOORRRQQQMMMIIIFFFHHHGGGFFFFFFFFFGGGHHHIIIMMMLLLJJJIIINNNWWWZZZXXXSSSPPPNNNOOORRRTTTTTTRRRVVVVVVXXXYYYYYYWWWUUUTTTWWWUUURRROOOOOOQQQSSSUUUVVVUUUTTTTTTUUUVVVYYYZZZ[[[\\\\\\[[[YYYYYYZZZ\\\ZZZZZZXXXXXXXXXZZZ\\\]]]]]]\\\YYYWWWUUUTTTTTTTTTPPPRRRTTTTTTRRRRRRRRRSSSXXXWWWVVVUUUUUUVVVWWWXXXTTTTTTUUUUUUVVVVVVVVVWWWPPPPPPOOONNNNNNPPPQQQRRRMMMMMMMMMNNNOOOPPPRRRSSSRRRRRRRRRRRRSSSTTTUUUVVVUUUUUUWWWZZZ\\\[[[WWWTTTTTTVVVWWWXXXYYY\\\```ccc\\\___^^^YYYVVVXXXZZZXXX```^^^\\\[[[[[[]]]___aaaYYY\\\___^^^ZZZYYY\\\```aaa^^^ZZZXXXXXXYYYYYYYYY[[[]]]```eeehhhiiifffccc\\\YYYWWWWWWYYYZZZYYYWWWZZZ\\\______^^^]]]]]]^^^UUUTTTSSSUUUXXXZZZ[[[ZZZXXXYYY[[[^^^___`````````bbb```___^^^^^^]]]ZZZXXXUUUWWWYYY[[[]]]^^^^^^^^^^^^aaacccaaa^^^\\\\\\^^^ZZZ[[[]]]___```bbbbbbcccfffffffffggggggggghhhhhheeegggjjjiiiggggggiiilllccccccccccccdddfffggghhhfffddddddfffccc___```cccaaaccceeefffeeedddeeefffkkkppprrrmmmddd___bbbgggeeeggghhhddd___^^^aaafffcccddddddcccbbbbbbccceeeaaaaaa```^^^]]]^^^aaaccc```]]]ZZZYYY[[[^^^```aaa\\\\\\\\\^^^aaaeeeiiilllmmmkkkjjjiiihhhhhhiiiiiiffffffdddcccccccccdddeee``````____________^^^^^^^^^```ccceeefffgggiiijjjhhhhhhiiijjjjjjiiihhhgggddddddfffhhhlllmmmlllkkkiiigggdddbbbaaabbbdddeeecccdddeeegggiiilllnnnoooiiilllnnnmmmjjjfffeeefffcccbbbaaabbbeeeiiinnnqqquuuzzz~~~zzznnnfffhhhnnnpppnnnllljjjiiihhhiiiiiiggghhhiiijjjjjjiiihhhgggkkkjjjjjjnnnssswwwwwwvvvvvvzzz~~~|||zzzppppppooonnnkkkhhheeeddd[[[ZZZXXXXXXYYY\\\___aaa```^^^]]]]]]]]]]]][[[ZZZYYYYYYZZZZZZZZZXXXWWWVVVXXXVVVTTTSSSTTTWWWZZZ\\\ZZZ\\\]]][[[WWWTTTUUUWWWZZZXXXVVVUUUUUUUUUTTTSSSRRRQQQOOOMMMLLLLLLLLLLLLLLLLLLMMMNNNOOOOOOOOOOOOQQQQQQRRRQQQQQQPPPOOOOOOLLLLLLLLLKKKKKKJJJHHHHHHFFFGGGIIIJJJKKKJJJJJJIIIIIIJJJKKKKKKLLLKKKKKKKKKGGGFFFEEECCCBBBBBBAAAAAABBBBBBCCCCCCCCCBBB@@@???DDDDDDEEEDDDBBB???<<<:::;;;;;;;;;;;;;;;<<<===>>>>>>=========???@@@BBBDDDEEEEEEFFFFFFFFFDDDCCCBBBEEECCCBBBBBBDDDCCC???<<>>===<<<;;;;;;:::===???AAAAAA@@@@@@AAABBB@@@@@@BBBCCCCCCBBB@@@@@@DDDCCCAAA@@@@@@AAACCCDDDFFFFFFFFFFFFFFFFFFGGGGGG???@@@BBBDDDEEEEEEDDDCCC@@@AAABBBDDDFFFIIIJJJLLLGGGHHHIIIIIIIIIHHHGGGFFFGGGIIIJJJJJJIIIHHHHHHIIIGGGKKKPPPQQQNNNJJJHHHHHHFFFFFFFFFEEEEEEEEEEEEEEEFFFFFFHHHJJJMMMPPPSSSUUUPPPNNNLLLMMMQQQTTTTTTTTTRRRRRRRRRRRRRRRRRRQQQQQQPPPOOOOOONNNMMMMMMMMMNNNNNNOOOPPPRRRSSSTTTTTTTTTSSSSSSTTTVVVWWWXXXYYYZZZWWWUUUSSSRRRTTTXXX]]]``````]]]YYYVVVSSSRRRSSSTTTTTTRRRPPPPPPPPPQQQPPPOOOVVVVVVVVVVVVVVVVVVVVVVVVTTTSSSSSSRRRRRRRRRSSSSSSRRRPPPMMMLLLLLLPPPSSSVVVSSSTTTTTTTTTRRRQQQOOOMMMOOOPPPQQQPPPPPPQQQTTTWWWWWWWWWXXXYYYXXXWWWVVVUUUTTTUUUVVVWWWXXXXXXYYYXXX[[[[[[YYYXXXWWWVVVUUUUUU\\\[[[[[[ZZZZZZ[[[\\\\\\]]]\\\YYYWWWVVVVVVWWWXXXZZZXXXVVVTTTTTTVVVXXXZZZZZZ[[[\\\]]]^^^]]]\\\\\\ZZZXXXUUUTTTUUUVVVUUUTTTVVVWWWYYYZZZZZZZZZYYYXXXUUUUUUVVVVVVWWWXXXXXXXXXYYY[[[^^^___^^^^^^^^^___ddddddcccbbb```___]]]\\\WWWUUUTTTUUUXXX[[[]]]]]]bbbbbbaaa```___^^^]]]\\\aaa]]]ZZZYYY[[[___bbbddddddcccbbb``````bbbcccdddeeefffggggggfffeeecccaaa___```aaabbbeeegggiiijjjiiihhhfffcccaaa```_________aaaccceeeeeedddbbb```hhhmmmqqqpppjjjdddaaabbbcccdddeeecccaaa```cccfffiiifffbbb``````bbbeeehhheeefffeeeccc```]]]]]]]]][[[YYYXXXZZZ]]]aaadddeee]]]^^^```aaabbbccccccccciiijjjlllmmmllliiifffdddddddddddddddcccbbbbbbaaaaaabbbdddeeeeeeccc```___aaaaaacccdddfffiiikkkllljjjlllnnnooonnnkkkhhheeegggeeecccccceeehhhiiiiiikkkjjjhhhfffdddcccbbbaaaiiifffdddgggmmmrrrqqqoookkklllllllllkkkjjjhhhhhhcccfffiiijjjhhhggghhhiiikkknnnpppmmmhhhfffiiilllmmmmmmlllkkkjjjjjjiiiiiieeeiiijjjiiiiiimmmmmmjjjjjjiiijjjmmmqqqttttttsssqqqtttzzz{{{zzz{{{||||||uuuvvvzzz}}}~~~~~~{{{vvvrrrooonnnffffffgggffffffdddcccbbbaaa___]]]ZZZYYYZZZ[[[\\\]]]\\\ZZZ[[[\\\\\\[[[ZZZYYYYYYYYYZZZYYYXXXVVVUUUWWWVVVUUUTTTTTTVVVYYYZZZZZZZZZZZZYYYWWWVVVVVVWWWWWWUUUSSSRRRSSSRRRQQQPPPQQQPPPOOOMMMLLLKKKKKKKKKMMMMMMMMMNNNNNNMMMLLLLLLNNNNNNOOOOOOPPPOOOOOOOOOKKKKKKKKKKKKJJJHHHGGGGGGDDDEEEFFFHHHHHHHHHHHHGGGFFFGGGGGGHHHIIIIIIIIIIIIGGGFFFEEECCCBBBBBBAAAAAAAAABBBCCCCCCCCCAAA@@@???CCCCCCCCCCCCAAA>>>;;;999:::::::::999:::;;;;;;<<<============>>>@@@BBBCCCDDDDDDEEEEEEDDDCCCCCCBBBDDDCCCBBBCCCEEEDDDAAA>>>===<<<<<<<<<<<<<<<<<<<<<;;;===???@@@??????@@@AAA@@@@@@AAAAAAAAAAAA@@@@@@BBBAAA@@@>>>>>>???AAABBBDDDDDDDDDDDDDDDDDDDDDDDDAAAAAABBBCCCCCCBBBBBBBBB??????@@@BBBEEEIIIMMMOOOMMMLLLIIIGGGFFFFFFGGGHHHGGGHHHIIIIIIHHHHHHIIIKKKKKKNNNQQQPPPLLLHHHFFFFFFEEEEEEEEEEEEDDDDDDDDDDDDDDDDDDEEEGGGKKKOOOSSSVVVSSSQQQNNNNNNPPPQQQQQQPPPOOOOOOOOOOOOOOOOOOOOOOOOPPPOOONNNNNNMMMMMMMMMMMMMMMNNNOOOQQQRRRSSSSSSSSSNNNNNNOOOQQQRRRSSSTTTUUUTTTSSSRRRQQQSSSVVVYYY[[[[[[YYYUUURRRPPPOOOOOOPPPRRRQQQOOOPPPQQQQQQPPPNNNSSSSSSTTTTTTUUUUUUUUUUUUSSSRRRRRRQQQPPPPPPPPPPPPPPPNNNKKKJJJJJJLLLPPPRRRSSSSSSTTTSSSRRRPPPOOOMMMMMMNNNOOONNNNNNOOORRRTTTUUUVVVVVVWWWVVVUUUTTTSSSSSSSSSTTTUUUVVVVVVVVVVVVXXXXXXXXXXXXWWWVVVUUUTTTYYYYYYYYYZZZZZZZZZZZZZZZZZZYYYVVVTTTSSSSSSTTTUUUXXXVVVTTTSSSSSSTTTVVVXXXYYYZZZ[[[\\\\\\[[[ZZZYYYXXXVVVTTTSSSTTTUUUUUUTTTVVVVVVVVVWWWWWWWWWVVVVVVXXXXXXXXXWWWWWWWWWWWWWWWXXXZZZ]]]]]]\\\\\\\\\]]]bbbbbbcccbbbaaa```^^^]]]TTTRRRQQQRRRVVVZZZ\\\]]]cccbbb```___^^^]]]]]]]]]___\\\ZZZYYY\\\___bbbccccccbbbaaa``````bbbdddeeefffgggggghhhfffdddbbb`````````aaaccceeehhhjjjkkkiiihhhfffccc```^^^]]]\\\___```aaabbbcccbbbaaa```eeejjjnnnmmmhhhcccaaabbb```bbbcccbbbaaabbbeeehhhkkkiiieeebbbaaaaaacccddddddeeeeeebbb___]]]\\\]]]]]]\\\[[[\\\___bbbdddddd^^^___```bbbccccccddddddeeefffhhhjjjjjjiiihhhgggffffffffffffeeecccbbbaaa```bbbcccddddddcccaaa_________```bbbdddfffhhhiiihhhjjjlllmmmllljjjgggeeeeeecccaaabbbeeehhhjjjjjjkkkjjjiiihhhggggggggggggiiifffccceeejjjooopppooommmllllllkkkjjjiiihhhhhheeehhhjjjjjjgggeeeeeeggghhhjjjllljjjgggfffhhhlllkkkkkkkkkkkkkkkjjjjjjjjjeeehhhiiihhhhhhkkkllliiigggfffgggiiilllnnnnnnnnnmmmnnnppptttyyy{{{{{{zzzuuussssssvvvzzz{{{yyywwwsssvvvyyy|||yyytttooommmooorrrrrrrrroookkkhhhgggggg``````aaaaaa```___^^^^^^aaa___\\\ZZZXXXWWWWWWWWWYYYXXXWWWYYY[[[\\\\\\[[[XXXYYYYYYXXXXXXVVVUUUUUUVVVVVVUUUUUUUUUUUUVVVWWWWWWVVVTTTTTTUUUUUUUUUTTTTTTRRRPPPOOOOOOOOONNNMMMOOOOOONNNNNNMMMLLLKKKJJJMMMMMMMMMMMMLLLKKKJJJJJJJJJKKKLLLMMMNNNNNNNNNNNNKKKKKKJJJJJJIIIGGGFFFEEEBBBBBBCCCEEEEEEEEEEEEEEEBBBBBBCCCDDDEEEEEEFFFFFFFFFFFFDDDCCCBBBBBBBBBBBBAAAAAABBBBBBBBBAAA@@@@@@AAABBBBBBBBB@@@>>>;;;999999999888888888999::::::<<<<<<<<<<<<===>>>@@@AAADDDCCCBBBBBBBBBBBBBBBCCCBBBBBBAAABBBCCCCCC@@@>>>:::::::::;;;;;;<<<<<<<<<:::<<<>>>???>>>>>>???@@@@@@@@@????????????@@@@@@@@@???>>>======>>>???@@@AAAAAAAAAAAAAAAAAAAAAAAABBBBBBAAA@@@@@@@@@@@@@@@???>>>>>>@@@DDDIIIOOORRRTTTPPPKKKFFFCCCDDDFFFHHHFFFGGGGGGGGGGGGHHHJJJMMMOOOPPPPPPMMMIIIFFFDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDCCCCCCCCCEEEHHHMMMRRRUUUVVVSSSPPPNNNNNNNNNMMMLLLMMMMMMMMMMMMMMMMMMMMMMMMOOONNNNNNNNNMMMMMMMMMMMMLLLMMMNNNOOOPPPPPPPPPPPPJJJKKKLLLMMMNNNPPPQQQQQQRRRQQQQQQQQQRRRSSSTTTUUUUUUSSSQQQNNNLLLKKKKKKKKKNNNNNNNNNPPPQQQQQQPPPNNNOOOOOOPPPQQQRRRSSSTTTTTTRRRRRRQQQPPPOOONNNNNNNNNPPPNNNLLLJJJIIIKKKMMMNNNQQQQQQRRRRRRQQQOOOMMMLLLLLLMMMNNNNNNMMMNNNQQQTTTSSSTTTTTTTTTSSSRRRPPPOOOPPPPPPQQQRRRSSSSSSSSSSSSTTTUUUVVVXXXXXXWWWUUUTTTVVVWWWXXXYYYZZZYYYYYYXXXZZZXXXVVVTTTRRRSSSTTTTTTVVVUUUSSSRRRRRRSSSUUUVVVYYYZZZ[[[\\\\\\[[[ZZZYYYWWWUUUSSSSSSTTTUUUUUUTTTWWWWWWWWWWWWWWWVVVVVVVVVZZZZZZYYYYYYXXXWWWWWWVVVXXXZZZ\\\\\\[[[ZZZZZZZZZ___```bbbccccccaaa___]]]TTTRRRPPPQQQUUUZZZ]]]___bbbaaa___]]]\\\\\\]]]^^^\\\[[[ZZZ[[[^^^aaabbbbbbaaa`````````aaabbbdddeeeggghhhhhhhhhfffdddaaa______```aaacccfffhhhkkkllliiihhheeebbb___]]][[[ZZZ^^^^^^^^^^^^^^^___``````bbbfffjjjjjjfffbbbaaabbb^^^___```aaaaaacccgggjjjkkkjjjgggeeebbbaaa```___bbbccccccaaa___\\\\\\\\\]]]\\\\\\]]]___aaaaaa```___```aaabbbccccccdddddd```aaaccceeegggiiiiiijjjiiiiiihhhgggeeecccbbbaaa```aaabbbccccccbbbbbbaaa___``````bbbdddfffhhhiiifffgggiiijjjjjjiiigggeeecccaaa```aaaeeehhhkkkkkkkkkkkkkkkkkkkkkllllllmmmjjjeeeaaabbbgggllloooooonnnmmmkkkiiihhhhhhhhhhhhjjjkkklllkkkhhhfffeeefffeeehhhiiihhhffffffiiillljjjjjjjjjkkkkkkkkkllllllgggjjjjjjhhhhhhkkkkkkhhhdddddddddeeeggghhhhhhhhhkkkjjjjjjlllooorrrsssssstttrrrpppqqqrrrrrrqqqooommmqqqtttwww|||rrrooonnnkkkggggggkkkkkkjjjgggdddbbbcccdddccccccbbb```^^^\\\[[[ZZZXXXWWWWWWVVVVVVVVVVVVVVVUUUUUUUUUWWWZZZ\\\\\\\\\XXXWWWWWWVVVUUUTTTSSSSSSTTTTTTTTTTTTTTTTTTSSSSSSTTTQQQNNNNNNQQQSSSRRRPPPSSSQQQOOONNNNNNNNNMMMLLLMMMNNNOOOOOONNNLLLKKKIIILLLLLLLLLLLLLLLKKKJJJJJJJJJJJJKKKKKKLLLKKKKKKKKKJJJJJJJJJIIIHHHGGGEEEEEEAAAAAABBBCCCCCCDDDDDDDDD@@@@@@@@@AAABBBCCCDDDEEEEEEEEEDDDBBBBBBAAAAAAAAA@@@AAAAAAAAAAAA@@@@@@@@@AAAAAABBBBBBAAA???<<<::::::999999888999999::::::<<<<<<;;;;;;<<<===???@@@BBBBBB@@@@@@@@@AAABBBCCCBBBAAAAAAAAAAAA???===;;;::::::::::::::::::::::::;;;<<<>>>???>>>>>>???@@@AAA@@@???>>>>>>???@@@AAA>>>>>>=========>>>??????@@@@@@@@@@@@????????????AAA@@@???>>>>>>???@@@AAA@@@???>>>???BBBHHHMMMQQQVVVRRRLLLFFFCCCCCCEEEGGGEEEEEEFFFEEEEEEGGGKKKNNNQQQOOOMMMJJJGGGDDDDDDDDDCCCCCCDDDDDDEEEEEEEEEFFFFFFEEEDDDDDDGGGKKKOOORRRTTTRRROOOMMMLLLKKKJJJJJJLLLLLLLLLMMMMMMMMMMMMMMMMMMMMMNNNNNNNNNMMMMMMMMMKKKLLLLLLMMMNNNNNNNNNNNNJJJJJJKKKMMMNNNOOOPPPQQQPPPQQQRRRRRRRRRRRRQQQPPPQQQPPPNNNMMMLLLKKKJJJJJJKKKKKKLLLOOOQQQQQQOOOMMMKKKLLLMMMNNNPPPQQQRRRRRRSSSRRRRRRQQQPPPNNNMMMLLLRRRPPPNNNLLLKKKKKKLLLMMMNNNNNNOOOOOONNNLLLKKKJJJMMMNNNOOONNNNNNOOORRRTTTQQQQQQRRRRRRQQQOOOMMMLLLMMMNNNOOOOOOPPPPPPPPPOOOOOOQQQTTTWWWWWWWWWUUUTTTSSSUUUWWWYYYZZZZZZYYYXXX\\\ZZZXXXVVVUUUUUUVVVVVVUUUTTTSSSRRRRRRSSSTTTUUUYYYZZZ\\\]]]^^^^^^]]]\\\YYYWWWUUUUUUUUUUUUTTTRRRWWWYYY[[[\\\\\\[[[YYYWWWZZZZZZYYYYYYYYYXXXXXXXXXYYYZZZ\\\\\\[[[YYYYYYZZZ\\\^^^aaaddddddbbb```^^^UUURRRPPPQQQUUU[[[___aaabbb```]]]ZZZZZZ[[[\\\^^^ZZZYYYZZZ\\\```bbbcccccc````````````aaacccdddeeehhhhhhiiihhhgggdddaaa_________aaabbbeeehhhjjjkkkhhhgggeeebbb```^^^]]]\\\]]]\\\[[[ZZZZZZ\\\___``````cccffffffdddbbbbbbccc^^^______```aaacccfffhhhhhhgggfffeeebbb```]]]\\\___```aaa```^^^[[[[[[[[[\\\\\\\\\^^^``````___]]]`````````aaabbbccccccddd^^^___```bbbdddfffhhhiiiiiiiiihhhgggeeecccaaa______```aaaccccccccccccccccccddddddfffgggjjjkkklllffffffhhhiiiiiiiiihhhhhheeecccaaabbbeeehhhjjjjjjmmmmmmllllllmmmmmmnnnnnnjjjfffbbbaaadddiiimmmooommmllliiigggffffffggghhhnnnnnnnnnmmmlllkkkkkkkkkiiijjjkkkjjjhhhhhhjjjlllllllllllllllllllllkkkkkkjjjmmmllliiihhhkkkkkkhhhdddeeefffffffffggghhhhhhjjjhhhfffgggkkkoooqqqrrrrrrpppmmmkkkjjjjjjiiihhhhhhllloooqqquuu}}}vvvmmmfffggghhheeebbbaaaddddddbbb```]]]\\\^^^```dddcccaaa___]]]\\\ZZZZZZTTTTTTUUUUUUVVVVVVVVVUUUTTTSSSSSSVVVYYY[[[[[[[[[VVVVVVUUUSSSRRRQQQQQQQQQQQQQQQRRRSSSRRRRRRQQQPPPSSSPPPMMMMMMPPPRRRRRRPPPSSSQQQOOONNNOOOOOOMMMLLLLLLMMMNNNNNNMMMLLLJJJIIIHHHIIIJJJKKKKKKKKKKKKKKKJJJJJJJJJJJJIIIHHHGGGFFFHHHHHHHHHHHHGGGFFFEEEDDDAAAAAAAAABBBCCCCCCDDDEEE@@@@@@@@@@@@AAABBBCCCDDDCCCCCCBBBAAA@@@@@@@@@@@@@@@@@@@@@???@@@@@@@@@@@@AAABBBCCCCCCBBB@@@>>>===<<<;;;;;;:::::::::;;;;;;<<<<<<;;;;;;;;;===>>>???AAA@@@?????????AAABBBCCCDDDDDDDDDCCC@@@>>><<<:::<<<;;;;;;:::999999888888;;;===???@@@??????@@@AAAAAA@@@???>>>>>>???@@@AAA>>>>>>>>>>>>??????@@@@@@@@@@@@?????????>>>>>>>>>======<<<===>>>@@@BBBCCCCCCBBB@@@@@@BBBFFFJJJLLLRRRPPPLLLHHHEEEDDDCCCCCCDDDDDDEEEDDDEEEGGGKKKNNNNNNLLLHHHFFFDDDDDDDDDDDDCCCCCCDDDDDDEEEFFFGGGGGGIIIHHHGGGFFFGGGIIILLLNNNOOONNNMMMKKKIIIIIIJJJJJJIIIIIIJJJJJJKKKKKKKKKLLLLLLLLLMMMNNNNNNNNNMMMLLLKKKKKKLLLLLLLLLLLLLLLKKKIIIJJJKKKLLLNNNOOOPPPPPPQQQRRRSSSTTTSSSRRRPPPOOOOOOOOOOOONNNNNNMMMLLLKKKIIIIIIKKKNNNPPPPPPNNNLLLIIIIIIKKKLLLNNNOOOQQQQQQTTTTTTTTTSSSRRRPPPNNNMMMQQQPPPOOOMMMLLLKKKJJJJJJJJJJJJKKKKKKKKKIIIHHHGGGKKKLLLLLLLLLLLLMMMPPPRRRPPPPPPQQQQQQPPPOOOMMMLLLLLLLLLMMMMMMNNNMMMMMMMMMLLLNNNRRRUUUVVVVVVUUUTTTSSSTTTWWWYYY[[[ZZZZZZYYY\\\ZZZXXXVVVUUUUUUVVVWWWTTTTTTSSSRRRRRRSSSTTTTTTUUUWWWYYY[[[]]]^^^^^^^^^\\\ZZZXXXWWWWWWVVVSSSQQQUUUXXX]]]aaaaaa^^^ZZZWWWXXXXXXXXXYYYYYYYYYZZZZZZZZZ\\\^^^^^^\\\[[[[[[[[[[[[^^^aaaddddddcccaaa___UUUSSSQQQRRRUUUZZZ]]]^^^```^^^[[[YYYXXXYYY[[[]]]YYYYYYZZZ^^^bbbdddeeedddbbbbbbbbbbbbbbbcccddddddggghhhhhhhhhgggeeecccaaa______```bbbdddfffhhhiiifffeeedddcccbbbaaaaaaaaa]]][[[YYYXXXXXX[[[^^^aaa```aaacccdddcccccccccdddaaa```______```bbbcccdddbbbbbbccccccaaa___\\\ZZZ\\\]]]______]]]ZZZYYYYYY\\\]]]^^^aaacccccc```^^^_______________```aaabbb^^^^^^___```bbbcccdddeeefffffffffeeecccaaa```______```bbbdddfffffffffffffffgggggghhhjjjlllnnnooohhhiiiiiijjjkkkkkkkkkllliiigggeeedddfffhhhiiiiiiooonnnmmmmmmlllllllllllljjjgggeeedddfffiiimmmooollljjjhhhfffeeefffggghhhppppppppppppqqqrrrrrrrrrnnnooonnnmmmkkkjjjkkkllloooooonnnmmmlllkkkjjjiiijjjlllkkkhhhgggjjjkkkhhhhhhiiikkkkkkjjjjjjlllmmmhhhfffdddeeeiiinnnqqqrrrsssqqqnnnkkkhhhhhhhhhiiijjjnnnqqqqqqtttwwwwwwtttoooiiieeeggghhhfffddddddccccccbbb```^^^]]]^^^```______]]]\\\[[[ZZZZZZZZZWWWXXXXXXXXXWWWVVVTTTSSSRRRRRRRRRSSSVVVXXXXXXWWWTTTSSSRRRPPPOOONNNNNNNNNNNNNNNOOOOOOOOOOOOOOONNNTTTRRROOONNNPPPRRRSSSSSSRRRPPPNNNMMMNNNNNNLLLKKKJJJKKKKKKKKKJJJJJJIIIHHHEEEEEEFFFHHHHHHIIIIIIIIIIIIIIIHHHGGGFFFDDDCCCBBBCCCDDDDDDDDDDDDDDDCCCCCCAAAAAAAAAAAABBBCCCDDDEEEBBBAAA@@@@@@@@@AAACCCDDDAAAAAA@@@?????????????????????>>>>>>??????@@@AAA@@@AAACCCCCCCCCAAA???>>>======<<<;;;;;;;;;<<<<<<===<<<;;;;;;<<<===>>>???????????????@@@BBBCCCCCCEEEGGGGGGFFFBBB???=========<<<<<<;;;999888888777<<<===???@@@??????@@@AAA@@@@@@????????????@@@@@@>>>>>>??????@@@@@@AAAAAA@@@@@@??????>>>=========;;;;;;<<<===???AAACCCDDDCCCCCCCCCCCCDDDEEEFFFFFFKKKJJJIIIGGGEEEDDDCCCBBBCCCDDDEEEEEEEEEGGGJJJLLLKKKHHHDDDBBBCCCCCCCCCCCCAAAAAABBBCCCEEEFFFGGGGGGJJJIIIHHHGGGGGGHHHIIIIIIIIIIIIIIIHHHFFFGGGIIIKKKEEEEEEEEEFFFGGGGGGHHHHHHKKKLLLMMMNNNNNNNNNMMMLLLKKKKKKKKKLLLKKKKKKJJJJJJGGGHHHIIIJJJLLLMMMNNNNNNQQQRRRSSSTTTTTTRRRPPPNNNMMMNNNOOOOOOOOONNNMMMLLLIIIIIIIIIKKKNNNNNNMMMKKKIIIIIIJJJLLLMMMOOOPPPPPPTTTTTTUUUUUUTTTRRRPPPOOOOOONNNNNNLLLKKKIIIHHHGGGHHHHHHIIIIIIIIIHHHGGGFFFGGGGGGHHHHHHGGGIIIKKKNNNPPPPPPQQQRRRQQQPPPOOONNNKKKLLLLLLMMMMMMLLLLLLLLLKKKLLLOOORRRTTTTTTTTTSSSRRRSSSVVVXXXYYYZZZZZZZZZYYYWWWUUUSSSRRRRRRSSSSSSSSSSSSSSSRRRRRRSSSSSSSSSQQQSSSUUUXXXZZZ[[[[[[[[[\\\[[[YYYXXXXXXWWWTTTRRRQQQUUU[[[___```^^^YYYVVVVVVWWWWWWXXXYYYYYYZZZZZZ[[[]]]______^^^]]]]]]]]]\\\^^^```cccccccccaaa```VVVTTTRRRSSSUUUXXXYYYYYY]]]\\\ZZZXXXXXXYYYZZZ[[[ZZZZZZ[[[^^^cccggghhhhhheeeeeeeeedddccccccbbbbbbdddeeeggghhhhhhgggeeedddaaaaaabbbcccdddfffggghhheeeddddddcccbbbbbbcccccc]]][[[YYYXXXYYY\\\___aaabbbbbbbbbccccccdddeeeeeecccaaa___^^^```aaaaaa```^^^___```aaa```^^^\\\ZZZYYY[[[]]]^^^\\\YYYXXXXXX\\\]]]aaaeeehhhhhhdddaaa]]]]]]\\\[[[\\\]]]___```^^^___``````aaaaaa``````bbbbbbcccbbbbbbaaa```______aaaeeehhhjjjjjjiiihhhggggggggghhhjjjkkkmmmnnnlllllllllllllllmmmnnnooommmkkkhhhgggiiijjjkkkkkkpppooonnnlllkkkjjjjjjjjjjjjjjjjjjjjjkkklllmmmnnnjjjiiihhhhhhggghhhiiijjjqqqpppooopppsssvvvvvvvvvrrrqqqooonnnmmmllllllllloooooommmllljjjiiigggggggggiiiiiiggghhhmmmooonnniiikkkmmmmmmllllllnnnpppjjjhhhfffgggjjjnnnqqqrrruuussspppllliiiiiikkklllkkkppptttttttttuuusssnnnmmmjjjhhhjjjjjjgggfffiiifffggggggeeebbbaaabbbccc___^^^\\\ZZZXXXWWWWWWWWWXXXYYYYYYYYYXXXUUURRRPPPQQQPPPOOOPPPSSSTTTSSSRRRSSSQQQOOOMMMLLLKKKKKKKKKKKKKKKKKKLLLLLLMMMMMMNNNRRRQQQPPPNNNMMMMMMPPPSSSOOOMMMKKKJJJKKKJJJIIIHHHHHHGGGFFFFFFFFFFFFFFFFFFBBBCCCCCCDDDDDDDDDCCCCCCDDDDDDDDDCCCBBBAAA@@@???===>>>???@@@AAAAAAAAAAAAAAA@@@@@@@@@@@@BBBCCCDDDCCCBBBAAA??????@@@AAABBB??????>>>============>>>???>>>>>>===>>>???@@@AAA???@@@AAABBBBBBAAA???>>>>>>======<<<;;;;;;<<<<<<>>>===<<<<<<<<<===>>>???===>>>???AAABBBCCCCCCCCCAAACCCEEEDDDAAA?????????<<<<<<;;;;;;::::::999999:::<<<>>>???>>>>>>???@@@@@@@@@AAAAAAAAAAAA@@@@@@======>>>???@@@@@@AAAAAA??????>>>======<<<;;;;;;;;;<<<>>>???@@@AAAAAABBB@@@BBBDDDFFFGGGFFFDDDBBBFFFEEEDDDCCCCCCCCCDDDDDDBBBCCCEEEFFFFFFFFFHHHJJJIIIFFFBBB@@@AAABBB@@@???>>>???@@@AAACCCDDDEEEFFFGGGGGGGGGGGGGGGGGGGGGFFFEEEFFFGGGFFFDDDDDDGGGIIICCCCCCCCCDDDEEEFFFFFFFFFJJJKKKMMMNNNOOONNNMMMLLLKKKKKKLLLLLLKKKJJJIIIIIIGGGHHHIIIJJJKKKLLLMMMNNNPPPQQQRRRSSSRRRQQQPPPOOOJJJKKKMMMOOOOOONNNLLLKKKJJJIIIHHHIIIKKKLLLLLLKKKJJJJJJKKKLLLNNNOOOPPPPPPRRRSSSTTTUUUUUUSSSQQQPPPNNNNNNNNNNNNLLLKKKIIIHHHHHHHHHIIIJJJIIIHHHGGGFFFDDDEEEFFFEEEEEEFFFIIIKKKPPPQQQRRRSSSTTTSSSRRRRRRLLLLLLMMMMMMMMMLLLLLLKKKKKKLLLNNNPPPQQQRRRSSSSSSQQQRRRSSSUUUWWWXXXZZZZZZVVVUUURRRPPPOOOOOOPPPQQQRRRQQQQQQQQQQQQQQQQQQRRRRRRSSSUUUWWWXXXXXXXXXWWWXXXXXXWWWXXXXXXXXXUUUSSSPPPSSSWWW[[[]]]\\\ZZZYYYWWWWWWWWWWWWWWWXXXXXXXXXZZZ\\\^^^___^^^^^^^^^___^^^___```bbbbbbbbbaaaaaa[[[YYYXXXXXXYYYZZZYYYWWW[[[ZZZYYYYYYXXXXXXYYYYYY[[[[[[\\\___dddhhhkkkkkkjjjiiihhhgggeeebbbaaa___aaaccceeehhhiiiiiihhhhhheeeeeeeeeeeeffffffhhhhhheeedddcccbbbaaaaaaaaaaaa]]][[[ZZZYYYZZZ]]]```bbbdddcccbbbcccdddeeeffffffccc```^^^^^^```aaaaaa______`````````___]]][[[ZZZVVVYYY\\\]]][[[YYYXXXWWWWWWZZZ```fffjjjiiifffbbb[[[ZZZYYYXXXYYYZZZ\\\]]]]]]^^^```aaaaaa```^^^]]]___``````aaabbbbbbbbbbbb___ccchhhmmmooonnnlllkkkggggggggghhhjjjkkkmmmnnnooonnnmmmlllmmmnnnooopppooollljjjjjjlllnnnoooooopppooommmlllkkkjjjjjjjjjjjjllloooqqqqqqpppooonnnjjjjjjjjjkkkllllllmmmmmmpppnnnlllnnnqqqtttuuutttooonnnmmmllllllmmmllllllkkkkkkjjjiiigggfffeeeeeedddhhhjjjjjjnnnvvv{{{{{{gggjjjllllllkkkkkkmmmpppmmmkkkiiijjjmmmpppsssssssssqqqnnnjjjggggggiiilllffflllpppqqqqqqqqqmmmhhhhhhffffffhhhfffbbbccchhhfffggggggfffcccaaaaaabbbdddbbb^^^ZZZWWWTTTSSSSSSTTTVVVWWWXXXVVVTTTQQQOOOPPPOOONNNNNNPPPPPPOOONNNRRRPPPNNNLLLJJJJJJJJJJJJIIIIIIIIIIIIJJJLLLMMMNNNNNNOOONNNKKKHHHHHHLLLPPPLLLJJJHHHGGGHHHHHHFFFEEEFFFEEECCCBBBBBBCCCDDDDDDAAAAAAAAAAAA@@@???>>>>>>??????@@@@@@@@@??????>>>999:::;;;===>>>>>>??????@@@????????????AAABBBCCCDDDCCCAAA???>>>???@@@AAA>>>======<<<<<<<<<<<<===???>>>=========???@@@AAA>>>???@@@AAAAAA@@@>>>===>>>===<<<;;;;;;;;;;;;;;;>>>>>>===<<<<<<===??????<<<>>>@@@BBBCCCDDDCCCCCC;;;>>>AAAAAA>>>===>>>???::::::;;;;;;;;;;;;<<<<<<999;;;===>>>======>>>???@@@AAABBBCCCCCCBBBAAA@@@<<<<<<>>>???@@@@@@@@@@@@>>>>>>===<<<;;;;;;::::::===>>>???AAAAAAAAA@@@???===@@@EEEHHHIIIGGGCCC@@@CCCBBBAAA@@@AAACCCEEEGGGAAACCCFFFFFFFFFFFFGGGHHHIIIEEEAAA???@@@@@@>>><<<<<<===>>>???AAABBBDDDDDDCCCDDDEEEGGGGGGGGGFFFEEEDDDEEEFFFDDDBBBBBBEEEHHHDDDDDDDDDEEEFFFGGGGGGHHHIIIKKKMMMNNNOOONNNMMMLLLLLLLLLLLLLLLKKKJJJIIIIIIHHHIIIJJJKKKMMMNNNOOOOOOOOOPPPQQQQQQQQQPPPOOOOOOGGGIIIKKKMMMNNNMMMKKKIIIKKKIIIHHHHHHJJJKKKKKKJJJKKKKKKLLLMMMNNNOOOPPPPPPQQQRRRTTTUUUUUUSSSQQQPPPPPPPPPQQQPPPOOOMMMKKKJJJHHHIIIJJJJJJJJJIIIHHHGGGEEEFFFFFFFFFFFFGGGJJJLLLQQQRRRSSSUUUUUUUUUUUUTTTLLLMMMMMMMMMMMMMMMLLLLLLKKKLLLMMMNNNPPPQQQSSSSSSPPPPPPQQQRRRTTTWWWYYYZZZVVVUUURRRPPPOOOOOOPPPQQQPPPPPPPPPPPPPPPPPPPPPPPPVVVVVVXXXXXXXXXWWWVVVVVVTTTTTTUUUVVVXXXXXXWWWUUUSSSTTTVVVXXXZZZ\\\]]]^^^XXXXXXXXXWWWVVVVVVUUUUUUYYY[[[^^^___^^^^^^^^^_________```aaaaaaaaaaaaaaa```___^^^^^^^^^]]][[[YYYYYYYYYYYYYYYYYYXXXXXXXXX\\\[[[\\\___dddiiilllmmmlllllljjjhhheeebbb___^^^___aaadddhhhjjjkkkjjjjjjhhhgggggggggggghhhhhhiiifffeeecccaaa```_________]]]\\\[[[ZZZ[[[^^^aaacccfffdddcccccceeefffggggggbbb___]]]]]]```bbbaaa```aaaaaaaaaaaa___]]][[[ZZZUUUXXX[[[\\\[[[XXXWWWWWWRRRVVV\\\ccchhhhhhdddaaaZZZYYYWWWVVVWWWXXXZZZ[[[[[[]]]```bbbbbb```^^^]]]]]]^^^```aaacccddddddddd```dddjjjooorrrqqqnnnllliiiiiiiiijjjkkkmmmnnnoooqqqpppnnnmmmmmmnnnoooqqqooommmkkkkkknnnqqqrrrsssooonnnmmmllllllkkklllllljjjnnnsssuuuuuurrrooonnnjjjkkkmmmnnnooopppppppppnnnllljjjkkkooorrrrrrqqqllljjjiiijjjkkklllllllllggggggffffffeeeeeeddddddeeeiiimmmooovvvffffffggghhhjjjmmmpppqqqpppooooooppprrrrrroookkkrrrpppllliiigggfffffffffgggiiimmmoooooommmiiigggaaacccddddddcccdddfffggggggdddbbbcccfffgggeeebbb]]]\\\[[[YYYVVVTTTRRRQQQVVVWWWYYYZZZYYYWWWUUUSSSPPPNNNKKKIIIIIIJJJMMMOOOPPPOOONNNMMMMMMMMMNNNOOOJJJJJJIIIHHHIIIJJJKKKLLLKKKKKKKKKKKKJJJIIIHHHGGGJJJIIIHHHGGGFFFEEEDDDCCCGGGDDDAAA???@@@AAAAAAAAA<<<===>>>@@@@@@@@@???>>>??????@@@@@@???>>><<<;;;======>>>>>>======<<<;;;999:::;;;<<<<<<<<<;;;:::>>>>>>>>>>>>============BBB>>>:::888:::<<<<<<;;;>>>>>>===<<<===>>>???@@@????????????>>>>>>>>>>>>>>>>>>===<<<;;;;;;::::::>>>>>>>>><<<:::;;;===???;;;<<<===>>>??????>>>>>>;;;<<<======<<<===???AAA@@@???>>><<<;;;:::::::::===;;;999999;;;===>>>===???AAABBBDDDDDDCCCBBB@@@;;;===@@@@@@???>>>>>>???BBB???<<<;;;;;;<<<;;;;;;<<<>>>AAABBBAAA@@@AAAAAAAAABBBDDDEEEEEEEEEDDDCCCDDDAAA>>>>>>AAADDDDDDCCCEEEEEEEEEGGGIIIJJJHHHFFFCCCCCCBBBAAA???>>>>>>===<<<===>>>@@@AAABBBBBBBBBEEECCCAAABBBEEEFFFDDDBBBDDDDDDEEEEEEEEEEEEDDDDDDCCCBBBAAAAAACCCFFFIIIKKKJJJKKKNNNPPPPPPOOOMMMKKKMMMIIIGGGHHHGGGEEEFFFJJJJJJJJJIIIIIIIIIKKKMMMNNNOOOPPPPPPQQQPPPOOOMMMLLLNNNLLLJJJJJJLLLMMMKKKHHHIIIIIIIIIIIIJJJKKKLLLMMMKKKKKKLLLMMMNNNNNNNNNNNNMMMMMMMMMOOOQQQQQQQQQOOOSSSQQQNNNKKKJJJJJJKKKLLLHHHGGGHHHIIIKKKLLLKKKJJJJJJGGGDDDDDDEEEGGGIIIIIILLLMMMOOOQQQRRRRRRQQQPPPNNNNNNMMMMMMLLLLLLMMMMMMLLLMMMOOOOOONNNOOOQQQSSSRRRSSSTTTTTTUUUVVVWWWWWWTTTSSSPPPNNNNNNOOOQQQRRRVVVVVVUUUUUUTTTSSSRRRRRRSSSUUUWWWYYYYYYXXXWWWVVVWWWWWWWWWWWWWWWWWWVVVVVVTTTVVVXXX[[[\\\\\\[[[ZZZXXXXXXXXXWWWVVVUUUTTTSSSSSSWWWZZZ[[[YYYXXXYYY[[[^^^^^^___```aaaccceeefffgggeeebbb^^^\\\[[[[[[[[[[[[[[[[[[\\\^^^^^^\\\ZZZ[[[\\\___bbbfffiiilllmmmlllkkkkkkkkkiiifffaaa]]]``````aaadddhhhkkkllllllhhhiiiiiiiiihhhgggeeedddiiijjjiiiddd___[[[[[[]]]^^^^^^^^^___```aaabbbcccbbbccceeefffffffffeeedddaaa^^^[[[^^^cccgggfffcccaaadddgggeee```\\\[[[[[[WWWXXXXXXXXXXXXXXXWWWWWWVVVXXX\\\```dddfffggggggbbb^^^YYYWWWXXXZZZ[[[ZZZ___________________________]]]]]]```dddfffdddbbbgggiiilllnnnooonnnllljjjkkklllmmmnnnnnnnnnllllllrrrpppnnnlllkkklllmmmnnnllllllmmmmmmmmmlllkkkkkkkkkkkkkkkkkkkkkjjjiiiiiijjjlllnnnpppqqqooommmllllllmmmmmmmmmkkkjjjkkkllljjjhhhgggiiilllnnnnnnllljjjjjjiiihhhggghhhhhhhhhfffggggggggggggeeedddcccfffiiillloooyyyfffffffffgggiiikkkmmmooonnnmmmlllooossstttooojjjlllkkkiiihhhhhhhhhiiijjjfffhhhkkknnnnnnllliiigggcccccccccbbbaaabbbdddgggiiihhhfffffffffeeedddbbbXXXWWWUUUSSSQQQPPPOOOOOOQQQRRRTTTUUUUUUSSSQQQPPPMMMLLLJJJIIIIIIKKKMMMOOOSSSRRRPPPOOONNNNNNNNNNNNIIIIIIGGGGGGGGGGGGHHHIIIGGGGGGGGGGGGFFFEEEDDDDDDEEEEEEEEEEEEEEEDDDDDDDDDCCCAAA??????@@@BBBBBBBBB======>>>?????????>>>>>>>>>????????????===<<<;;;:::;;;;;;;;;;;;:::999999888999;;;<<<============>>>===;;;::::::;;;===>>>AAA===999888999;;;;;;:::;;;;;;:::::::::<<<===>>>===<<<<<<<<<<<<;;;;;;;;;======<<<;;;;;;:::999999:::;;;;;;;;;999999;;;===<<<<<<=====================>>>????????????AAACCCAAA@@@???===<<<<<<;;;;;;===;;;999999;;;=========>>>???AAABBBCCCBBB@@@???>>>???@@@@@@>>>======>>>AAA>>>;;;:::;;;=========;;;===@@@AAAAAA@@@AAAAAA@@@AAABBBCCCDDDCCCCCCBBBDDDBBB??????AAACCCCCCBBBEEEEEEEEEGGGIIIJJJHHHFFFDDDDDDCCCAAA@@@???======>>>???@@@AAABBBCCCCCCCCCEEECCCAAABBBDDDEEECCCBBBDDDDDDDDDDDDDDDDDDCCCBBBCCCBBBAAAAAABBBEEEHHHJJJKKKMMMOOOQQQQQQPPPNNNMMMMMMIIIGGGHHHGGGDDDEEEIIIHHHHHHHHHIIIJJJKKKLLLMMMKKKLLLNNNOOOPPPPPPPPPPPPOOOMMMKKKLLLNNNOOOMMMLLLJJJJJJJJJJJJKKKMMMNNNNNNMMMNNNNNNOOOOOOOOOOOOOOOKKKKKKLLLMMMPPPQQQRRRRRRTTTRRROOOLLLKKKKKKLLLMMMJJJIIIIIIKKKMMMNNNMMMKKKMMMJJJFFFDDDEEEFFFGGGGGGIIIKKKNNNQQQRRRQQQPPPOOOMMMMMMMMMNNNOOOPPPQQQRRRPPPQQQQQQOOONNNNNNPPPRRRVVVVVVVVVWWWWWWWWWWWWWWWVVVTTTRRRPPPPPPQQQRRRTTTWWWWWWVVVVVVVVVUUUUUUUUUUUUVVVWWWXXXXXXXXXWWWWWWXXXXXXXXXXXXXXXXXXXXXXXXWWWXXXZZZ\\\]]]]]]\\\\\\WWWWWWVVVUUUSSSQQQPPPOOOSSSVVVYYY[[[ZZZZZZ\\\^^^^^^^^^___```bbbdddfffggghhhfffdddbbb```_________```___```aaaccccccaaa_________aaacccfffhhhiiijjjjjjiiiiiijjjjjjhhhddd```\\\\\\]]]aaagggkkklllmmmhhhhhhiiiiiiiiigggfffeeeggghhhhhheeebbb```aaabbb```____________```aaaaaabbbccceeeggghhhhhhhhhgggbbb___]]]___dddgggeeecccccceeefffeeebbb___]]]]]]ZZZZZZZZZZZZZZZYYYXXXWWWXXXZZZ]]]aaacccdddddddddddd```\\\ZZZ[[[\\\]]]\\\```_________^^^^^^^^^^^^aaa```___bbbeeefffeeecccfffgggjjjlllmmmmmmlllkkkkkkkkkllllllllllllkkkkkkqqqooommmlllkkkkkklllmmmjjjjjjjjjiiiiiihhhgggfffgggggghhhhhhhhhgggeeeeeeeeegggiiilllmmmmmmlllkkkhhhiiijjjjjjhhhggghhhjjjhhhgggggghhhkkkllljjjhhhiiiiiiiiihhhhhhgggggggggggghhhiiijjjjjjiiihhhhhhfffiiilllmmmttt~~~eeeeeeeeeeeefffhhhiiikkkllliiiiiinnnuuuvvvpppiiiggggggggghhhhhhhhhiiiiiidddfffiiikkkkkkjjjhhhgggeeedddccc```______bbbeeehhhhhhhhhfffccc`````````YYYXXXUUUSSSRRRQQQQQQRRRMMMOOOPPPRRRRRRQQQPPPNNNJJJJJJJJJJJJJJJLLLMMMMMMTTTSSSQQQOOONNNMMMMMMMMMIIIHHHFFFEEEDDDDDDEEEEEEEEEEEEDDDDDDCCCBBBBBBAAABBBBBBBBBCCCCCCDDDDDDDDDAAA@@@???@@@AAABBBAAA@@@??????>>>=========>>>>>>>>>>>>>>>>>>>>><<<;;;;;;:::::::::::::::999888888777888:::<<<===>>>>>>>>>>>><<<999777888999<<<>>>>>><<<999888999:::999999999999888888999;;;===>>>;;;;;;;;;;;;::::::::::::;;;;;;;;;:::999999888888777999;;;;;;;;;:::;;;<<<>>>===<<<;;;:::;;;<<<======>>>@@@@@@??????@@@BBBAAAAAA@@@???>>>=========<<<:::999999;;;<<<<<<;;;<<<===>>>???@@@??????>>>AAAAAAAAA>>><<<;;;<<<>>>@@@>>>;;;:::<<<===>>>>>>999<<>>???@@@AAAAAAAAAAAAAAACCCBBBAAAAAACCCCCCBBBAAACCCDDDDDDDDDDDDCCCBBBAAABBBAAA@@@@@@AAADDDFFFHHHJJJLLLNNNOOOOOOOOOMMMLLLLLLIIIGGGHHHGGGDDDDDDFFFFFFFFFHHHIIIJJJKKKKKKKKKJJJKKKLLLNNNOOOPPPPPPPPPNNNMMMMMMNNNPPPQQQPPPOOOKKKKKKKKKLLLMMMOOOPPPQQQQQQQQQQQQQQQQQQQQQPPPOOOJJJJJJKKKMMMOOOQQQSSSTTTSSSRRRPPPNNNMMMMMMNNNOOOLLLLLLLLLMMMOOOPPPOOOMMMOOOLLLIIIFFFFFFGGGFFFFFFGGGIIIMMMQQQRRRRRRPPPOOOMMMNNNNNNPPPRRRTTTVVVXXXWWWVVVTTTPPPMMMLLLNNNPPPWWWWWWWWWVVVVVVVVVUUUUUUWWWUUUSSSRRRRRRSSSTTTUUUWWWWWWWWWXXXXXXXXXYYYYYYWWWWWWWWWWWWWWWWWWXXXXXXXXXXXXXXXYYYYYYZZZZZZ[[[[[[\\\^^^_________^^^]]]YYYYYYWWWUUUSSSPPPNNNMMMRRRUUUXXXZZZ\\\]]]___aaa^^^______aaaccceeefffggghhhhhhgggfffeeeddddddcccbbbbbbbbbccceeeeeedddbbbccccccdddeeeeeefffgggggggggggghhhiiijjjiiifffddd[[[[[[[[[^^^cccggghhhiiifffgggggghhhhhhggggggfffeeefffffffffeeeeeegggiiiaaa```____________aaaaaaccceeegggiiijjjjjjjjjjjjcccaaa___aaaeeegggeeecccfffffffffffffffeeeaaa___]]]]]]]]]]]]\\\ZZZYYYYYY[[[]]]___bbbcccccccccbbbfffddd```^^^______```___]]]]]]]]]]]]^^^___``````cccbbbaaaccceeefffeeedddeeefffgggiiijjjkkkkkkkkkllllllkkkkkkkkkkkkllllllnnnmmmkkkjjjiiiiiijjjkkkffffffeeeeeedddcccbbbbbbbbbbbbcccccccccbbbaaa```aaabbbdddfffhhhiiijjjjjjfffhhhiiihhhgggggghhhiiiiiiiiiiiikkklllllliiiggghhhiiiiiiiiihhhgggeeedddfffggghhhjjjkkkkkkjjjjjjeeeiiikkkkkkmmmrrruuuvvvdddcccbbbbbbbbbcccdddeeehhheeeeeekkkssstttnnngggeeeffffffggggggfffeeeeeecccdddfffhhhhhhhhhgggffffffdddbbb^^^\\\\\\___bbbbbbddddddbbb^^^[[[\\\^^^]]][[[XXXUUUSSSRRRRRRRRRMMMNNNPPPQQQRRRRRRQQQPPPJJJKKKKKKLLLLLLLLLKKKKKKPPPOOONNNMMMLLLLLLKKKKKKIIIHHHFFFDDDCCCCCCCCCCCCFFFEEEEEEDDDCCCCCCBBBBBBAAABBBBBBCCCCCCDDDDDDDDDBBBAAAAAAAAABBBBBB@@@>>>AAA@@@>>>===<<<======>>>>>>>>>>>>===<<<<<<;;;;;;;;;;;;<<<<<<;;;;;;:::999888888999:::;;;<<<<<<<<<;;;;;;:::::::::;;;<<<===<<<;;;:::999999999888888999888888888999;;;===>>><<<<<<<<<;;;;;;;;;:::::::::999999999888888888777777:::===>>>=========>>>>>>===;;;999999999;;;<<<;;;===>>>>>>======>>>???AAAAAAAAA@@@@@@???>>>===;;;:::999999;;;<<<;;;:::999:::;;;<<<=========<<>>@@@BBB???<<<;;;<<<======<<<888:::===????????????@@@AAAAAABBBBBBCCCCCCCCCCCCCCCBBB@@@@@@@@@@@@@@@@@@DDDDDDCCCEEEGGGHHHGGGFFFGGGFFFFFFDDDBBB???===;;;===>>>>>>?????????>>>>>>AAAAAA@@@AAAAAAAAAAAA@@@DDDDDDDDDDDDDDDCCCBBBBBBAAA@@@@@@@@@AAACCCEEEFFFGGGHHHJJJKKKKKKKKKJJJIIIKKKHHHGGGIIIHHHDDDCCCEEEDDDEEEGGGIIIJJJJJJIIIIIILLLLLLMMMMMMMMMMMMMMMMMMMMMMMMMMMNNNPPPQQQQQQQQQLLLLLLLLLMMMNNNPPPQQQRRRSSSTTTTTTSSSRRRQQQPPPOOOLLLMMMMMMNNNOOOPPPSSSUUUSSSRRRPPPOOOOOOOOOQQQQQQOOONNNNNNPPPQQQRRRQQQOOOQQQNNNKKKIIIJJJJJJIIIIIIFFFIIIMMMQQQSSSSSSQQQPPPOOOPPPQQQSSSUUUWWWZZZ[[[]]][[[WWWQQQMMMKKKLLLNNNTTTTTTTTTTTTTTTSSSSSSSSSVVVUUUTTTSSSRRRSSSUUUUUUVVVVVVWWWXXXYYYZZZZZZ[[[YYYXXXWWWVVVVVVWWWYYYZZZWWWWWWXXXYYYYYYZZZ[[[[[[^^^___```aaaaaa``````___^^^^^^\\\ZZZWWWTTTQQQPPPRRRTTTWWWZZZ]]]```bbbdddaaaaaaaaaaaabbbcccdddeeeffffffggggggggggggfffeee```______```bbbcccbbbaaadddddddddeeeeeeeeeffffffgggfffggghhhjjjiiigggeee___]]]\\\\\\___```aaaaaaccccccdddeeeffffffffffffdddeeeffffffggghhhjjjkkkaaa```_________aaabbbdddggghhhiiijjjkkkjjjjjjiiidddbbbbbbccceeefffeeeccchhhfffeeegggiiiiiieeeaaa`````````___^^^\\\[[[ZZZ\\\^^^```cccddddddcccbbbgggfffdddcccbbbbbbbbbbbb[[[[[[[[[\\\^^^```bbbddd`````````aaacccdddeeeeeefffffffffgggggghhhhhhiiilllkkkjjjjjjjjjkkklllmmmiiihhhgggfffffffffggggggaaaaaaaaa```````````````aaa```___^^^^^^^^^___```bbbbbbcccdddfffgggiiiiiigggiiijjjjjjiiiiiijjjllllllmmmoooppppppnnnkkkiiiggghhhiiijjjiiigggeeecccdddeeeggghhhhhhhhhgggfffdddgggjjjiiihhhiiilllnnnbbbaaa```______```aaabbbccc``````eeelllmmmhhhbbbbbbbbbcccdddeeeeeeeeedddbbbbbbcccdddeeeeeeddddddeeecccaaa]]]ZZZZZZ]]]```\\\^^^```___\\\[[[\\\___^^^\\\YYYUUUQQQOOONNNMMMMMMNNNOOOPPPQQQQQQPPPPPPLLLMMMMMMMMMMMMLLLJJJIIIIIIIIIJJJJJJJJJJJJJJJJJJJJJIIIGGGEEEDDDCCCCCCCCCFFFEEEDDDCCCBBBBBBBBBCCCDDDDDDDDDDDDDDDDDDDDDDDDAAA@@@AAABBBEEEEEEDDDCCCAAA@@@???=========>>>??????>>>======<<<;;;;;;;;;;;;;;;<<<<<<;;;;;;:::999::::::999999999999999999999:::===??????>>><<<;;;;;;;;;<<<;;;:::999888888777777666666777999:::;;;;;;;;;;;;;;;::::::::::::888888888888888777777777777999<<<======<<<======>>>===:::999888999:::;;;;;;===??????>>>======>>>@@@@@@AAA@@@@@@???>>>===;;;999999999;;;;;;:::888777888999::::::;;;;;;;;;>>>>>>===<<<;;;===AAAEEEFFFBBB>>><<<;;;;;;::::::777999<<<=========>>>>>>>>>>>>>>>>>>>>>??????@@@AAAAAAAAA@@@???>>>??????CCCBBBAAABBBDDDFFFFFFEEEFFFFFFFFFEEEBBB???<<<;;;===>>>>>>?????????>>>>>>???@@@@@@@@@?????????@@@CCCDDDDDDEEEEEEDDDDDDCCC@@@@@@@@@@@@AAABBBDDDEEEFFFGGGHHHIIIIIIIIIHHHHHHJJJHHHHHHJJJIIIEEECCCEEECCCDDDFFFHHHHHHHHHGGGGGGKKKKKKKKKKKKLLLLLLMMMMMMLLLMMMMMMNNNNNNNNNOOOOOOLLLLLLLLLMMMNNNPPPQQQRRRTTTTTTSSSSSSRRRQQQOOOOOONNNPPPQQQQQQOOOOOORRRTTTRRRQQQPPPPPPPPPQQQRRRSSSRRRQQQQQQRRRSSSTTTRRRQQQPPPNNNLLLLLLNNNOOOOOONNNHHHJJJNNNRRRTTTTTTRRRQQQSSSSSSTTTUUUVVVXXXZZZ[[[aaa^^^ZZZSSSNNNLLLMMMOOOQQQQQQRRRRRRSSSTTTUUUUUUTTTSSSRRRRRRRRRSSSSSSTTTTTTTTTUUUWWWXXXYYYZZZ[[[[[[YYYWWWVVVUUUWWWYYYZZZVVVVVVWWWXXXYYYYYYZZZZZZ___`````````aaa`````````aaaaaa___]]][[[XXXUUUTTTSSSTTTVVVYYY]]]aaacccddddddccccccbbbaaaaaaaaabbbbbbcccdddeeeeeeeeeeeeeee^^^]]]\\\]]]___aaa``````bbbbbbccccccddddddeeeeeeffffffeeeggghhhhhhfffddd```]]][[[[[[\\\]]]]]]]]]___```aaabbbccceeefffgggffffffffffffhhhiiijjjjjjaaa```______```ccceeegggkkkkkklllkkkjjjiiigggfffcccccccccdddffffffeeedddhhhgggfffhhhkkkjjjfffbbbaaaaaaaaa```___]]]\\\[[[\\\^^^```ccceeeeeeddddddeeeffffffeeeeeeddddddeee___^^^]]]]]]^^^___aaabbb]]]]]]^^^^^^^^^```bbbcccfffeeeeeeeeeddddddddddddggggggffffffggghhhjjjkkkeeeeeeddddddccccccdddddd^^^]]]]]]]]]^^^___```aaabbb```^^^\\\\\\^^^aaaccceeeeeeeeeeeefffgggggghhhfffhhhiiijjjiiiiiikkkmmmmmmoooqqqrrrqqqnnnlllkkkfffgggiiijjjjjjhhhfffeeefffgggggghhhgggfffeeedddccceeehhhiiigggeeegggkkkbbbaaa```______```aaabbb```______aaadddeeebbb^^^]]]^^^___aaaccceeefffgggbbbbbbaaaaaaaaaaaaaaabbbbbbbbb___\\\YYYYYY[[[]]]ZZZ\\\]]]]]]]]]]]]___```aaa```]]]YYYUUURRROOOMMMLLLLLLMMMMMMNNNNNNMMMMMMKKKLLLLLLLLLLLLKKKJJJIIIFFFGGGHHHIIIJJJJJJJJJIIIJJJIIIGGGEEEDDDDDDDDDDDDDDDCCCBBB@@@@@@@@@@@@AAAEEEEEEEEEEEEEEEEEEEEEEEE???>>>???BBBEEEHHHIIIHHHAAAAAA@@@?????????@@@@@@@@@???>>>===<<<<<<<<<<<<:::::::::::::::999888888<<<;;;:::999888888888888888;;;???BBBCCC@@@===;;;;;;===??????<<<:::::::::777666555555555666777888999999999999888888888888888888888888888888888888666888:::::::::999:::;;;===<<<;;;:::999:::;;;<<<===???AAAAAA@@@?????????===>>>?????????>>><<<;;;:::999999999::::::888777666666777888999::::::;;;;;;;;;<<<;;;<<>>>>>>>>???BBB@@@???@@@BBBCCCDDDCCCDDDEEEEEEDDDCCC@@@<<<:::>>>>>>???@@@@@@@@@@@@@@@===>>>??????======>>>???AAABBBCCCDDDDDDDDDDDDDDD@@@@@@AAAAAABBBCCCDDDDDDGGGGGGHHHIIIIIIIIIIIIIIIIIIGGGIIILLLKKKGGGDDDFFFDDDEEEEEEFFFFFFEEEEEEEEEFFFFFFGGGIIIKKKNNNPPPQQQMMMNNNNNNNNNLLLKKKKKKMMMLLLLLLLLLLLLMMMNNNOOOOOOQQQQQQQQQQQQPPPOOONNNMMMNNNQQQSSSSSSPPPNNNPPPRRRPPPPPPPPPPPPQQQRRRSSSTTTSSSSSSRRRSSSUUUUUUSSSRRRNNNMMMLLLNNNPPPRRRRRRRRRJJJLLLOOOQQQSSSSSSSSSRRRUUUUUUUUUUUUWWWXXXYYYZZZ```___[[[VVVQQQOOOOOOQQQQQQRRRSSSTTTUUUVVVWWWWWWRRRRRRQQQQQQQQQRRRSSSSSSSSSTTTUUUVVVWWWYYYZZZZZZ[[[ZZZXXXVVVVVVWWWYYYZZZWWWWWWWWWXXXXXXYYYYYYYYY^^^^^^^^^^^^______``````aaa``````^^^\\\ZZZXXXWWWUUUUUUUUUXXX]]]aaaccccccdddcccbbbaaa````````````_________```aaaaaabbbbbb^^^]]]\\\]]]___aaabbbaaa______```aaaaaabbbccccccddddddcccdddfffgggeeeddd___\\\ZZZYYY[[[]]]^^^^^^]]]^^^___```bbbeeeggghhhiiihhhggggggiiikkkkkkjjjdddcccaaaaaabbbdddgggiiilllllllllkkkiiigggdddcccaaabbbccceeeffffffeeeeeegggggghhhiiiiiihhheeeccc````````````___]]]\\\[[[[[[]]]___bbbcccccccccbbbaaaccceeefffeeeeeeeeeffffffdddaaa___]]]]]]^^^^^^\\\\\\\\\[[[ZZZZZZ\\\^^^aaaaaabbbbbbaaaaaa``````______```aaacccdddfffgggccccccccccccccccccbbbbbb]]]\\\\\\[[[\\\^^^___```bbbaaa```______aaacccddddddeeeffffffggggggffffffbbbdddeeeffffffggghhhjjjjjjllloooooommmkkkjjjjjjfffgggiiijjjjjjiiiiiihhhjjjjjjkkkkkkjjjhhhgggfffeeedddfffhhhgggdddeeehhhdddcccbbbbbbbbbcccdddeeeddddddeeedddcccbbbbbbbbb]]]]]]]]]^^^```ccceeegggbbbaaa```___^^^^^^____________^^^\\\YYYXXXZZZ[[[ZZZYYYYYYZZZ\\\^^^]]]]]]bbbaaa```^^^ZZZUUUQQQOOOLLLLLLLLLLLLLLLLLLKKKKKKGGGGGGHHHHHHIIIJJJKKKKKKHHHIIIJJJKKKKKKKKKJJJJJJIIIHHHFFFEEEDDDDDDDDDDDDDDDCCCAAA???>>>???@@@@@@CCCCCCDDDEEEFFFGGGGGGHHHBBB@@@???@@@CCCEEEFFFFFF@@@@@@AAABBBBBBBBBAAAAAAAAA@@@>>>===<<<<<<======:::;;;;;;;;;;;;:::999999===<<<;;;:::::::::;;;<<<999;;;>>>AAABBB@@@>>><<<<<>>>>>;;;<<<===>>>>>><<<;;;999999999888999::::::777555555666666777888999:::;;;999;;;<<<<<<===@@@DDDGGGGGGDDD@@@===<<<;;;:::999777999;;;<<<:::999999:::888777777666777888999:::<<<>>>@@@@@@>>>===???@@@@@@>>>======???AAABBBAAABBBCCCDDDDDDBBB???<<<::::::;;;<<<===>>>?????????<<<>>>???>>><<<;;;===???===>>>???AAABBBCCCDDDDDDAAAAAAAAABBBCCCCCCDDDDDDFFFFFFGGGGGGGGGHHHHHHHHHHHHGGGIIIMMMMMMIIIFFFGGGGGGFFFEEEDDDCCCCCCCCCCCCEEEEEEFFFHHHJJJMMMPPPRRROOOPPPQQQNNNKKKIIIIIIJJJLLLLLLKKKKKKKKKKKKLLLLLLNNNNNNNNNNNNMMMMMMLLLKKKIIIMMMRRRSSSPPPMMMNNNPPPNNNNNNOOOPPPQQQSSSTTTTTTTTTSSSSSSTTTUUUUUUTTTRRRMMMLLLLLLNNNPPPRRRRRRQQQLLLMMMNNNOOOPPPQQQRRRRRRSSSSSSTTTUUUVVVXXXZZZZZZ^^^]]][[[XXXTTTRRRRRRSSSSSSSSSSSSTTTTTTTTTUUUUUUQQQQQQQQQRRRRRRRRRSSSSSSTTTTTTUUUVVVXXXYYYZZZZZZ[[[ZZZYYYXXXWWWWWWXXXYYYYYYYYYYYYYYYYYYYYYYYYYYY[[[[[[[[[\\\\\\^^^______`````````___^^^]]]\\\[[[WWWVVVUUUWWW\\\___aaa```aaaaaa```````````````aaa]]]\\\\\\\\\\\\^^^___```___^^^]]]]]]```bbbcccccc^^^^^^^^^^^^____________`````````bbbeeegggffffffaaa^^^[[[ZZZ[[[]]]]]]]]]]]]^^^___```cccfffiiikkkllljjjhhhiiilllmmmmmmllliiigggdddcccbbbdddggghhhjjjkkkjjjjjjhhhfffcccbbb^^^```ccceeefffeeeeeeeeefffgggiiiiiigggeeecccccc^^^^^^^^^^^^^^^]]]\\\\\\[[[\\\^^^___```___]]]\\\\\\```dddeeeddddddeeeggghhhfffccc```^^^^^^___```^^^___]]]ZZZVVVTTTVVVXXXXXXZZZ\\\^^^^^^^^^]]]\\\ZZZ[[[]]]```ccceeeffffffccccccdddddddddddddddccc___]]]\\\ZZZZZZZZZ\\\]]]___aaaccceeefffdddcccaaa```aaaccceeeffffffeeeddd___```bbbccccccdddfffhhhhhhjjjlllkkkiiihhhhhhjjjgggggghhhiiijjjkkklllllljjjkkklllllllllkkkjjjiiihhhddddddhhhhhhdddbbbcccfffeeedddddddddeeefffgggkkklllllljjjfffdddfffiii```___^^^]]]^^^```bbbccccccbbb```^^^]]]]]]]]]^^^^^^^^^^^^\\\ZZZXXXYYYZZZYYYWWWUUUWWWZZZ\\\ZZZXXX\\\\\\\\\[[[XXXTTTOOOLLLNNNNNNMMMMMMLLLLLLLLLKKKCCCCCCDDDEEEGGGJJJLLLMMMLLLMMMNNNNNNNNNLLLKKKJJJHHHGGGEEEDDDCCCCCCDDDDDDEEEDDDAAA@@@??????AAABBB@@@@@@BBBDDDFFFGGGIIIJJJHHHEEEAAA@@@@@@AAAAAA@@@???@@@BBBCCCDDDCCCCCCBBBBBBAAA???=========>>>>>>======>>>>>>======<<<;;;===<<<;;;;;;<<<===>>>???:::;;;===????????????>>>===@@@DDDDDDAAA===<<<===???>>>===;;;;;;;;;;;;<<<<<<<<<<<<;;;;;;;;;::::::888888888888888999999999<<<<<<<<<:::999999;;;===::::::;;;<<<=========<<<;;;===@@@@@@???===<<<<<<999:::<<<======;;;999888999999888999:::999777555555555666666777999:::;;;999;;;<<<===>>>@@@CCCFFFFFFCCC???===<<<<<<<<<;;;888:::;;;;;;:::888888888:::999888888888999;;;;;;;;;===@@@@@@>>>===???AAA???===<<<<<<>>>@@@AAA@@@@@@AAACCCCCCBBB???<<<:::555666777999:::;;;;;;;;;;;;===???>>>;;;;;;<<>>===>>>???>>>>>>??????>>>===<<<<<<======AAA@@@===<<<;;;<<<===>>><<<===>>>@@@@@@@@@???>>><<<===???@@@@@@>>><<<;;;<<<<<<;;;::::::::::::;;;888888888999:::;;;<<<===;;;:::888666555444555555888888999:::;;;<<<<<<===::::::::::::::::::::::::======<<<;;;::::::999999;;;:::999999888888999999888888999999999999888888666777777888999:::::::::777777777999:::<<<>>>???BBB???<<<:::::::::::::::888888888888888999999999999666555666999;;;:::999;;;;;;:::::::::;;;<<<<<>>===;;;<<<===???@@@BBBAAAAAA@@@???>>><<<<<<999999999999::::::;;;<<<;;;;;;:::999:::;;;<<<===>>>===<<<<<<>>>AAADDDFFFBBBAAAAAAAAAAAAAAAAAA@@@CCCCCCCCCCCCDDDDDDDDDDDDEEEFFFFFFEEEEEEEEEHHHJJJJJJHHHDDD@@@???@@@CCCEEEHHHHHHHHHGGGFFFGGGIIIKKKMMMMMMLLLKKKJJJIIIHHHHHHHHHGGGGGGHHHIIIIIIHHHFFFHHHHHHGGGFFFFFFEEEEEEDDDKKKKKKLLLMMMMMMMMMMMMMMMNNNMMMMMMMMMNNNNNNOOOPPPTTTTTTTTTTTTTTTTTTTTTTTTNNNNNNOOOPPPOOONNNMMMLLLLLLMMMMMMMMMNNNNNNNNNNNNTTTUUUUUUTTTSSSSSSUUUVVV[[[ZZZYYYXXXWWWVVVVVVUUUTTTQQQOOOOOOQQQRRRQQQOOOSSSTTTVVVUUUTTTTTTUUUVVVRRRRRRQQQPPPQQQRRRSSSTTTXXXXXXXXXYYYXXXXXXWWWWWW[[[[[[[[[\\\]]]]]][[[YYYYYY[[[\\\\\\[[[[[[\\\]]]______```aaabbbccccccccc]]]]]]\\\[[[\\\]]]^^^___^^^ZZZWWWXXX[[[___aaa```___]]][[[XXXWWWWWWXXXYYY^^^^^^______________________________^^^]]]\\\\\\XXXZZZ]]]```dddhhhkkkllljjjgggaaa\\\YYYXXXYYY[[[^^^```cccdddeeegggiiilllooommmkkkiiihhhiiikkklllnnnkkkhhheeeccccccdddeeedddcccdddfffhhhfffbbb^^^[[[]]]```bbbddddddcccccceeeeeedddaaa^^^\\\]]]]]][[[ZZZ[[[\\\]]]]]][[[YYYYYYZZZZZZ[[[[[[[[[[[[ZZZ\\\]]]___ccceeedddaaa^^^```aaaaaacccdddeeeffffffiiifffbbb\\\XXXTTTRRRQQQWWWXXXZZZ\\\]]]^^^^^^^^^```___^^^^^^```cccfffhhhddddddcccbbbbbbbbbbbbcccfffccc^^^YYYUUUSSSSSSSSSWWW]]]eeemmmpppkkkaaaZZZXXXZZZ]]]______```aaaaaadddcccbbbbbbdddffffffeeeggghhhiiikkkkkkiiigggfffiiiiiiiiihhhhhhiiimmmoookkkkkkkkkkkkjjjiiiiiihhhmmmllljjjhhhgggeeeeeeeeeffffffddd```]]]]]]```ccchhhiiijjjkkkjjjhhhfffeee___]]][[[[[[\\\^^^bbbddddddbbb^^^ZZZXXXXXXYYYZZZ[[[\\\^^^^^^^^^\\\ZZZYYYVVVVVVVVVUUUUUUUUUTTTTTTSSSVVVYYYXXXUUUQQQOOOOOONNNMMMLLLKKKJJJIIIIIIIIIHHHGGGFFFEEEEEEFFFGGGIIIKKKKKKKKKJJJJJJIIIIIIIIIFFFFFFEEEDDDCCCCCCCCCCCCAAAAAAAAAAAAAAAAAAAAAAAACCCBBBBBBBBBCCCCCCDDDEEEGGGFFFEEEDDDCCCAAAAAA@@@AAA@@@@@@???@@@BBBCCCDDDDDDBBB???>>>???@@@???>>>>>>>>>>>>>>>>>>>>>??????AAA@@@>>><<<<<<===>>>???======>>>>>>>>>>>>>>>>>>>>>>>>?????????===<<<;;;<<<;;;::::::999999::::::999999::::::;;;<<<======;;;:::888777666555666666777777888999:::;;;<<<<<<;;;;;;;;;;;;;;;;;;;;;;;;<<<<<<;;;::::::999888888999999888888888888777777666777888888888888888777666666777777888999999:::777777888999:::;;;===>>>AAA>>>:::999999:::999999999999999999999999999999:::888777888:::<<<<<<:::;;;::::::::::::;;;<<<<<<===<<<;;;;;;<<<>>>@@@AAAAAAAAAAAA@@@???>>><<<;;;;;;;;;::::::999::::::::::::999999999:::<<<>>>???>>>===<<<<<<===@@@CCCEEECCCCCCBBBBBBBBBBBBAAAAAABBBCCCCCCCCCCCCDDDDDDDDDFFFGGGGGGFFFDDDDDDFFFHHHHHHFFFCCC@@@@@@BBBEEEGGGHHHHHHHHHGGGEEEEEEGGGIIIKKKKKKJJJJJJIIIHHHHHHHHHHHHHHHHHHIIIKKKKKKHHHFFFGGGGGGHHHHHHGGGGGGFFFEEEHHHIIIJJJLLLMMMNNNNNNNNNMMMMMMLLLLLLLLLNNNOOOPPPRRRSSSTTTUUUTTTRRRPPPNNNMMMMMMNNNOOOOOOOOONNNMMMLLLLLLLLLLLLLLLMMMMMMMMMSSSTTTUUUUUUSSSRRRSSSTTTXXXXXXXXXXXXWWWVVVUUUUUUTTTRRRPPPPPPRRRSSSRRRPPPPPPRRRUUUUUUTTTSSSSSSSSSPPPOOONNNNNNNNNNNNOOOPPPUUUUUUWWWXXXYYYYYYYYYYYY[[[ZZZZZZ[[[[[[[[[YYYXXXYYY[[[\\\\\\[[[ZZZ\\\]]]```aaabbbddddddddddddddd______]]]\\\\\\]]]^^^^^^]]]ZZZWWWWWWZZZ\\\^^^]]]aaa```^^^]]]\\\[[[\\\\\\\\\]]]^^^______^^^]]]]]]]]]]]]]]]]]]]]]\\\[[[[[[WWWYYY[[[___cccfffiiijjjllliiieee```^^^]]]^^^^^^___aaacccdddeeefffhhhjjjlllkkkhhhgggfffgggiiijjjiiigggeeecccbbbbbbdddeeedddccccccdddffffffbbb___]]]^^^aaaccceeeeeeddddddffffffdddaaa]]]ZZZYYYZZZ[[[ZZZZZZ[[[]]]]]][[[YYYWWWWWWXXXYYYYYYZZZZZZ[[[\\\]]]___bbbdddccc```]]]^^^^^^```aaaccceeeggghhhfffccc```[[[WWWTTTQQQQQQVVVWWWYYY[[[]]]]]]]]]]]]aaa```^^^^^^___aaadddffffffeeedddcccbbbbbbbbbbbbdddaaa]]]XXXUUUSSSSSSSSSTTTYYYaaahhhkkkhhh```ZZZVVVXXX[[[^^^___``````aaacccbbbbbbcccfffhhhhhhgggggghhhiiiiiiiiihhhgggfffggghhhhhhgggffffffhhhjjjkkkjjjjjjiiiiiijjjjjjkkkooonnnlllkkkiiihhhggggggdddcccaaa]]]ZZZZZZ\\\^^^dddeeefffgggfffdddbbbaaa[[[ZZZYYYXXXYYY\\\___aaa```^^^[[[YYYXXXXXXYYYZZZZZZ[[[]]]^^^^^^^^^]]]\\\UUUUUUSSSRRRRRRSSSSSSTTTRRRTTTVVVUUURRROOOMMMMMMLLLLLLKKKJJJJJJJJJJJJKKKJJJIIIFFFDDDDDDDDDEEEFFFGGGGGGGGGGGGGGGFFFFFFFFFEEEEEEEEEDDDCCCCCCBBBBBB@@@@@@@@@@@@@@@@@@@@@@@@DDDDDDDDDDDDDDDEEEEEEEEEHHHGGGFFFDDDBBBAAA@@@@@@AAA@@@??????@@@AAACCCDDDCCCAAA>>>===>>>???>>>============>>>>>>???@@@@@@@@@???>>>===<<<===>>>???>>>======<<<<<<<<<======??????>>>>>>============<<<;;;::::::999999::::::::::::;;;;;;<<<<<<======;;;:::999888777666666666777777888999:::;;;;;;<<<<<<<<<<<<<<<<<<<<<<<<<<<;;;;;;;;;:::999999888888777777888999888777666555555555666777777777777777555666666777777888888999888888888999999;;;<<<<<<>>>;;;999888888999888777999999999999999999999999;;;:::999999;;;======<<<::::::999999:::;;;<<<<<<;;;:::::::::<<<>>>@@@BBB@@@@@@@@@???>>>===<<<;;;===<<<;;;:::999999999999:::::::::;;;<<<>>>???@@@???>>>=========???BBBCCCDDDCCCCCCCCCBBBBBBBBBAAAAAABBBBBBBBBCCCCCCCCCDDDGGGHHHGGGFFFDDDCCCDDDEEEEEEDDDBBBAAAAAACCCFFFHHHGGGHHHGGGEEECCCCCCEEEFFFHHHHHHHHHHHHHHHHHHHHHHHHIIIIIIJJJLLLMMMLLLIIIGGGEEEFFFHHHJJJJJJIIIHHHGGGFFFGGGIIIKKKMMMNNNNNNOOOMMMLLLJJJIIIJJJLLLOOOQQQRRRTTTWWWXXXWWWSSSNNNKKKMMMNNNNNNOOOOOOOOONNNNNNJJJJJJJJJJJJJJJKKKLLLLLLQQQTTTVVVVVVTTTRRRQQQQQQTTTUUUVVVWWWWWWVVVTTTSSSUUUSSSQQQQQQRRRRRRRRRPPPLLLOOORRRTTTSSSQQQPPPQQQPPPOOONNNLLLLLLLLLLLLMMMQQQRRRTTTVVVXXXZZZZZZ[[[YYYYYYXXXXXXXXXWWWWWWWWWXXXYYYZZZZZZYYYYYYZZZ[[[^^^___aaacccccccccbbbaaa___^^^\\\[[[YYYYYYYYYZZZZZZXXXUUUUUUWWWYYYZZZZZZaaaaaa```___^^^]]]\\\\\\[[[\\\^^^``````^^^\\\[[[ZZZZZZZZZZZZZZZYYYYYYYYYVVVWWWZZZ]]]aaadddgggiiillljjjgggdddbbbaaaaaaaaaaaabbbddddddddddddfffhhhiiigggfffddddddeeefffgggdddcccbbbaaa```aaabbbcccbbbaaaaaabbbddddddcccaaa^^^```bbbeeeffffffeeeeeeggggggeeeaaa\\\XXXWWWWWWZZZZZZYYYZZZ\\\\\\ZZZXXXVVVVVVVVVWWWXXXZZZ\\\]]]\\\]]]^^^```bbbaaa^^^[[[[[[[[[]]]___aaadddfffgggcccaaa^^^[[[XXXUUUSSSSSSUUUVVVXXXZZZ\\\\\\\\\\\\___^^^\\\\\\]]]```ccceeegggffffffeeedddcccccccccaaa___\\\XXXVVVTTTSSSSSSRRRUUU[[[aaadddccc^^^ZZZVVVXXX\\\___aaaaaa```___^^^^^^___bbbfffhhhhhhggghhhhhhgggggggggffffffeeeeeefffgggfffdddcccdddeeehhhgggfffeeefffhhhjjjkkkpppooonnnmmmlllkkkjjjjjjcccaaa^^^[[[YYYYYYZZZ[[[___```aaabbbbbb```^^^]]]YYYXXXWWWWWWXXXZZZ]]]^^^^^^]]][[[YYYXXXWWWXXXXXXWWWXXXZZZ[[[\\\]]]]]]]]]UUUTTTRRRPPPPPPRRRSSSTTTQQQQQQRRRRRRPPPMMMKKKJJJLLLKKKKKKKKKKKKLLLMMMMMMKKKIIIFFFDDDBBBBBBBBBCCCEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEDDDDDDCCCCCCBBBAAA?????????@@@@@@@@@@@@@@@CCCDDDDDDDDDDDDDDDDDDDDDFFFEEECCCBBBAAA@@@@@@AAABBBAAA@@@@@@@@@BBBCCCDDDAAA???<<<;;;<<<===<<<;;;<<<<<<=====================<<<<<<;;;;;;<<<======???>>><<<;;;::::::;;;<<>>===<<<===>>>@@@BBB======<<<;;;;;;;;;;;;;;;::::::;;;;;;;;;;;;;;;;;;:::999999888777666666666666777777888999:::;;;;;;===============>>>>>>>>><<<<<<;;;;;;;;;:::::::::777888999::::::888666555444444555666777777777777555555666666777777777888999999888888999:::;;;;;;;;;999777777888888888777888888888888888888777777::::::999:::;;;<<<======:::999999999:::;;;<<<===;;;;;;;;;;;;<<<===??????>>>??????>>>===<<<;;;;;;<<<;;;;;;:::::::::;;;;;;===>>>>>>>>>???@@@@@@AAA@@@@@@>>>>>>>>>???AAABBBCCCCCCCCCBBBAAAAAA@@@@@@@@@@@@AAAAAABBBBBBCCCCCCEEEFFFGGGEEEDDDCCCDDDEEEEEEDDDBBBBBBBBBCCCEEEFFFGGGGGGFFFDDDBBBAAABBBDDDGGGGGGGGGHHHHHHHHHIIIIIIIIIIIIKKKNNNOOONNNJJJGGGCCCEEEHHHKKKLLLKKKJJJIIIGGGHHHIIIKKKLLLMMMMMMMMMLLLJJJHHHGGGHHHJJJNNNPPPRRRVVVZZZ]]]\\\XXXRRRNNNPPPPPPOOOOOONNNMMMMMMLLLIIIIIIHHHHHHHHHIIIJJJKKKPPPSSSVVVWWWUUURRROOOOOOPPPRRRTTTVVVWWWVVVTTTRRRSSSRRRQQQPPPPPPPPPPPPPPPLLLNNNPPPPPPOOOOOOPPPQQQSSSRRROOOMMMLLLLLLLLLLLLNNNOOOQQQSSSUUUWWWXXXXXXWWWXXXXXXVVVUUUTTTUUUVVVUUUVVVWWWWWWVVVVVVWWWYYYYYYZZZ\\\]]]]]]]]]\\\[[[]]][[[YYYVVVUUUTTTTTTTTTUUUTTTSSSSSSUUUWWWXXXYYY\\\]]]]]]\\\\\\ZZZYYYXXXZZZ\\\___aaaaaa___]]][[[YYYXXXXXXWWWWWWWWWWWWWWWVVVWWWZZZ]]]```dddfffhhhiiihhhgggfffdddcccaaaaaabbbcccddddddcccbbbcccdddfffeeecccbbbbbbcccdddeeebbbbbbaaa```_____________________```aaaaaabbbaaa___```ccceeeffffffeeedddeeefffeeeaaa]]]YYYWWWWWWZZZYYYXXXYYYZZZZZZYYYXXXWWWVVVUUUUUUWWWZZZ]]]___[[[[[[\\\^^^___^^^[[[YYYYYYYYYYYYZZZ\\\___aaabbb```___^^^\\\ZZZXXXWWWVVVUUUVVVXXXZZZ\\\\\\\\\\\\\\\[[[ZZZZZZ]]]```cccfffffffffggggggggggggffffff```___]]][[[YYYWWWVVVVVVSSSTTTWWW[[[]]]]]]ZZZWWWYYYZZZ^^^bbbeeeeeedddbbbYYYYYY[[[___cccffffffeeeiiihhhgggeeeeeeddddddeeeccceeefffgggeeedddeeefffdddcccbbbaaabbbeeehhhjjjoooooonnnnnnmmmlllkkkjjjaaa___]]]ZZZYYYYYYYYYYYY^^^___```aaaaaa___^^^\\\XXXXXXWWWWWWXXXZZZ\\\]]]^^^]]]\\\ZZZXXXWWWVVVUUUTTTTTTUUUWWWXXXYYYYYYYYYTTTSSSQQQPPPPPPRRRSSSUUUPPPOOOOOONNNNNNLLLJJJHHHKKKKKKKKKLLLMMMNNNPPPPPPKKKIIIFFFCCCAAA@@@@@@@@@DDDDDDDDDEEEFFFFFFFFFGGGDDDEEEEEEEEEDDDCCCBBBAAA??????@@@@@@@@@AAAAAAAAACCCCCCDDDDDDDDDCCCCCCBBBAAA@@@???>>>>>>@@@AAABBBCCCBBBAAAAAAAAABBBCCCDDDBBB@@@===<<<=========<<<<<<<<<<<<<<<;;;:::888888999999999999999:::;;;;;;>>>===<<<:::::::::;;;<<<<<<<<<;;;;;;===@@@CCCFFF??????>>>============>>>:::;;;;;;<<<;;;;;;:::999888888888888777666666555777777888999:::;;;;;;<<<=========>>>>>>?????????===============<<<<<<<<<999:::;;;<<<<<<;;;888777555555666777777888777777666666666666777777777777888888888888999999:::;;;:::888777777888999888777888888777777666666666666888888888999999:::;;;<<<::::::::::::;;;<<<===>>>>>>======<<<<<<<<<<<<===============<<<<<<;;;:::999999::::::;;;<<<===>>>CCCCCCCCCBBBBBBAAA@@@@@@AAAAAA@@@???@@@@@@AAABBBBBBBBBAAAAAA@@@??????>>>>>>??????@@@AAABBBBBBBBBBBBCCCEEEEEEDDDDDDEEEFFFEEEEEEDDDCCCCCCCCCCCCDDDEEEFFFEEECCCAAA@@@AAACCCGGGGGGGGGHHHIIIIIIJJJJJJHHHIIIKKKMMMOOOMMMIIIFFFCCCEEEHHHKKKMMMLLLKKKJJJIIIJJJKKKKKKKKKKKKKKKJJJKKKJJJGGGEEEFFFHHHKKKMMMOOOSSSXXX]]]]]]ZZZUUURRRSSSRRRQQQOOOMMMLLLJJJJJJIIIHHHGGGFFFGGGHHHJJJKKKOOORRRVVVWWWUUURRRPPPOOONNNPPPSSSUUUVVVUUUSSSRRRQQQQQQPPPOOONNNMMMMMMNNNOOOOOOOOONNNMMMOOORRRUUUTTTRRRPPPNNNLLLKKKKKKKKKMMMNNNPPPQQQRRRSSSSSSSSSVVVWWWXXXWWWTTTSSSSSSUUUQQQSSSTTTTTTSSSSSSTTTUUUVVVVVVWWWWWWWWWXXXWWWWWWZZZYYYWWWTTTSSSRRRQQQRRRQQQQQQRRRSSSTTTVVVXXXZZZYYYYYYYYYYYYXXXWWWVVVVVVYYY[[[___aaabbbaaa^^^]]]YYYXXXWWWUUUUUUUUUUUUUUUVVVXXXZZZ]]]```dddfffggghhhhhhgggfffeeecccbbbaaabbbccccccbbbaaa``````aaaccccccbbbaaaaaabbbcccdddbbbbbbaaa```___]]]\\\[[[\\\\\\]]]]]]]]]^^^______]]]___aaacccddddddcccbbbbbbccccccbbb^^^[[[ZZZZZZYYYXXXWWWWWWXXXYYYXXXWWWUUUTTTSSSSSSTTTVVVYYY[[[XXXWWWXXXZZZ[[[[[[YYYWWWXXXWWWVVVVVVWWWYYY[[[\\\[[[[[[[[[ZZZZZZYYYXXXXXXVVVWWWYYY[[[]]]]]]]]]]]]^^^]]][[[ZZZ[[[]]]```bbbdddeeefffhhhiiiiiiiiiiii`````````___^^^\\\[[[ZZZWWWWWWWWWXXXZZZZZZXXXVVVXXXYYY]]]dddjjjnnnmmmlllZZZZZZ[[[___cccfffffffffiiihhhgggeeedddcccccccccaaadddfffggggggggghhhjjjeeedddbbbaaabbbeeehhhjjjlllllllllllllllkkkjjjiii___]]]ZZZYYYZZZZZZYYYXXX]]]^^^```aaaaaa___^^^]]]WWWWWWWWWWWWXXXZZZ[[[\\\\\\\\\[[[ZZZYYYWWWUUUTTTRRRRRRRRRRRRSSSSSSTTTTTTRRRRRRQQQPPPPPPQQQSSSTTTPPPNNNMMMLLLLLLKKKIIIGGGIIIIIIJJJKKKMMMOOOQQQRRRMMMKKKHHHDDDBBBAAAAAAAAADDDDDDEEEEEEFFFGGGHHHHHHEEEEEEFFFFFFFFFDDDCCCAAA@@@@@@@@@AAAAAABBBBBBCCCBBBCCCDDDEEEDDDCCCBBBAAA>>>===<<<<<<===???AAACCCCCCBBBAAAAAAAAABBBCCCCCCDDDBBB???>>>???@@@???>>>;;;<<<<<<;;;:::888666444666666777888888999::::::===<<<<<<;;;;;;;;;<<<<<<;;;;;;;;;<<<>>>AAADDDFFFAAA@@@??????>>>>>>??????;;;<<<======<<<;;;:::888888888999999888888777666777888999:::;;;<<<<<<===<<<======>>>>>>??????@@@>>>>>>>>>>>>>>>>>>>>>>>><<<<<<===>>>===<<<;;;:::888888999999999999888888777777777777777777777777777777777888888:::;;;;;;:::888888999:::;;;:::999888888888777666666555555666777888888777777999;;;;;;;;;;;;;;;<<<===???????????????>>>======<<<<<<<<<<<<<<<<<<<<<;;;:::999999999999:::;;;===??????FFFFFFEEEEEECCCBBB@@@???BBBBBBBBBAAABBBBBBCCCCCCBBBBBBAAA@@@???>>>============>>>???@@@AAABBBBBB@@@BBBDDDEEEDDDDDDEEEFFFEEEEEEDDDDDDDDDCCCBBBBBBDDDEEEDDDBBB@@@@@@BBBDDDGGGGGGGGGHHHHHHIIIIIIIIIHHHHHHIIIKKKLLLKKKHHHFFFCCCEEEHHHJJJLLLLLLKKKKKKKKKLLLLLLLLLLLLKKKJJJJJJKKKIIIGGGEEEEEEFFFHHHIIIJJJMMMRRRVVVXXXWWWTTTRRRTTTSSSQQQNNNLLLKKKJJJJJJIIIHHHGGGFFFFFFHHHIIIKKKNNNRRRVVVWWWVVVSSSQQQQQQOOOQQQRRRTTTUUUTTTSSSRRRPPPPPPPPPNNNLLLKKKLLLMMMQQQQQQQQQPPPOOOQQQUUUWWWSSSRRROOOMMMKKKJJJJJJJJJNNNNNNOOOPPPPPPPPPPPPPPPUUUXXXZZZYYYVVVSSSSSSTTTPPPQQQRRRRRRQQQQQQRRRTTTWWWVVVUUUTTTTTTUUUVVVWWWZZZXXXVVVUUUTTTSSSTTTTTTPPPRRRSSSTTTTTTUUUWWWYYYXXXWWWWWWWWWVVVVVVVVVUUUWWWYYY\\\___aaaaaa```___[[[YYYWWWUUUTTTSSSTTTTTTVVVXXXZZZ]]]```ccceeefffjjjiiihhhgggeeedddbbbbbb```aaabbb```^^^]]]^^^___``````````````````aaaaaa````````````^^^[[[YYYWWWXXXZZZ\\\\\\ZZZZZZZZZ[[[[[[\\\^^^```aaa```___^^^^^^```aaa```^^^\\\[[[[[[YYYWWWVVVVVVWWWXXXXXXWWWRRRRRRQQQPPPPPPQQQSSSSSSSSSSSSTTTVVVXXXXXXWWWUUUWWWVVVTTTSSSSSSUUUWWWXXXVVVWWWXXXXXXYYYYYYYYYXXXXXXYYY[[[]]]____________cccaaa^^^[[[ZZZZZZ\\\]]]aaaccceeeggghhhhhhhhhhhhaaaaaabbbbbbbbb```___]]]\\\[[[ZZZZZZ[[[ZZZYYYWWWVVVVVVZZZccclllsssuuuuuu```______aaadddgggiiiiiijjjiiihhhgggeeedddbbbbbbaaaccceeefffggghhhjjjlllhhhgggfffeeeeeefffhhhiiihhhiiijjjkkkkkkjjjiiihhh]]]ZZZXXXXXXYYYZZZYYYWWWXXXZZZ[[[\\\]]][[[ZZZYYYVVVUUUVVVVVVWWWXXXZZZ[[[WWWXXXXXXYYYXXXVVVUUUSSSRRRQQQPPPPPPOOOOOOOOOOOOOOOOOOOOOPPPPPPPPPQQQQQQPPPNNNKKKKKKLLLKKKHHHFFFFFFGGGHHHIIILLLNNNPPPRRRPPPMMMJJJGGGDDDCCCCCCDDDCCCCCCDDDEEEGGGHHHHHHIIIFFFFFFGGGHHHGGGEEECCCBBB@@@AAAAAABBBCCCCCCDDDDDDCCCDDDEEEFFFFFFDDDCCCAAA???>>>===<<<<<<>>>AAACCCBBBAAA@@@?????????@@@AAACCCAAA>>>===>>>???>>>===:::;;;;;;<<<;;;999777555444555666888999:::::::::;;;<<<<<<============<<<============???AAACCCDDDAAA@@@??????>>>>>>??????>>>>>>???@@@???===;;;:::999:::;;;;;;;;;:::999888999999:::;;;<<<======>>><<<<<<======>>>??????@@@==================>>>>>>>>>>>>=========<<<<<<<<<;;;<<<<<<;;;;;;:::999888888888888888888888888888666666666777888:::;;;<<<:::999999:::<<<===<<<::::::::::::999888777777777555777888888666777999<<<<<<<<<<<<<<<>>>???@@@AAA??????????????????>>>>>>:::;;;;;;;;;;;;::::::999:::::::::;;;;;;===>>>???DDDDDDEEEDDDCCCBBB@@@???BBBCCCCCCCCCDDDDDDEEEEEECCCBBBBBBAAA@@@???>>>===<<<<<<===>>>???@@@AAABBB@@@BBBDDDEEEDDDCCCCCCCCCBBBCCCDDDDDDEEEDDDDDDCCCCCCDDDDDDBBBAAAAAACCCEEEFFFFFFFFFGGGGGGGGGGGGGGGGGGGGGGGGHHHIIIIIIGGGEEEDDDEEEGGGHHHJJJJJJKKKKKKKKKKKKLLLLLLMMMLLLLLLLLLJJJIIIGGGEEEDDDDDDDDDEEEGGGIIILLLOOOQQQRRRRRRQQQRRRQQQOOOMMMLLLLLLLLLMMMJJJHHHFFFEEEFFFGGGJJJKKKOOORRRUUUWWWVVVUUUTTTTTTQQQRRRRRRSSSSSSSSSSSSRRRPPPQQQQQQOOOLLLKKKLLLNNNPPPRRRTTTUUUUUUUUUVVVWWWTTTSSSQQQNNNMMMLLLLLLLLLNNNNNNOOOPPPQQQQQQQQQQQQTTTYYY]]]\\\XXXTTTSSSTTTPPPQQQSSSRRRQQQQQQRRRTTTXXXUUURRRPPPPPPRRRUUUWWWWWWVVVUUUTTTSSSTTTUUUUUUSSSUUUVVVVVVTTTSSSUUUWWWVVVUUUTTTSSSSSSSSSTTTUUUTTTUUUXXX[[[^^^___``````^^^\\\YYYVVVTTTSSSSSSSSSUUUVVVXXX[[[^^^aaacccdddiiihhhfffdddbbbaaa``````^^^______^^^\\\[[[\\\]]]]]]]]]]]]]]]]]]^^^^^^___[[[\\\]]]^^^\\\ZZZWWWUUUUUUXXX[[[[[[XXXVVVVVVWWWWWWYYY[[[\\\]]]\\\[[[ZZZ[[[]]]___^^^\\\ZZZYYYXXXYYYWWWUUUUUUVVVWWWWWWWWWSSSSSSRRRRRRQQQPPPOOOOOOOOOOOOPPPRRRUUUVVVUUUTTTUUUTTTSSSRRRSSSUUUXXXYYYUUUVVVXXXZZZ[[[\\\\\\\\\ZZZ\\\^^^```aaabbbbbbaaacccaaa^^^\\\[[[[[[]]]^^^```aaacccddddddcccbbbaaa```aaacccddddddcccaaa______^^^]]]]]]^^^^^^]]]\\\YYYXXXYYY```iiippprrrrrreeecccaaaaaadddgggiiijjjjjjjjjiiihhhgggdddbbb```aaabbbcccccccccdddgggiiiiiihhhgggfffeeeeeedddeeefffgggiiijjjjjjiiihhhgggZZZXXXVVVVVVYYYZZZYYYWWWSSSTTTVVVWWWWWWVVVUUUSSSTTTTTTTTTUUUVVVWWWYYYYYYSSSTTTVVVWWWWWWVVVUUUTTTRRRQQQPPPOOONNNMMMMMMMMMLLLMMMNNNOOOOOOOOOOOOOOOPPPMMMKKKJJJKKKKKKHHHFFFDDDDDDFFFHHHJJJMMMOOOQQQRRRPPPLLLIIIGGGFFFFFFFFFBBBCCCDDDEEEFFFGGGHHHIIIFFFGGGHHHIIIHHHFFFDDDCCCAAAAAABBBBBBCCCDDDEEEEEEEEEFFFGGGHHHGGGFFFDDDBBBBBB@@@>>>======>>>@@@BBB@@@???>>>======>>>??????@@@===;;;:::;;;;;;;;;:::888:::;;;<<<<<<;;;999888444555777888::::::;;;;;;:::;;;===>>>???>>>======??????>>>??????@@@@@@AAA@@@??????>>>>>>>>>>>>>>>@@@AAABBBBBBAAA???<<<;;;;;;<<<=========<<<;;;:::999::::::;;;<<<===>>>>>>;;;<<<<<<===>>>?????????<<<<<<<<<===============>>>>>>===<<<<<<<<<<<<===>>>>>>>>>===<<<;;;:::999999999999888888888888888555555666777888:::<<<===;;;::::::<<<>>>>>>===<<<<<<<<<;;;;;;:::999888888555777999888777777:::<<<<<<<<<======>>>@@@AAABBB===>>>???@@@@@@@@@@@@@@@::::::;;;;;;;;;:::999999<<<<<<;;;;;;;;;<<<<<<===AAABBBCCCCCCCCCBBBAAA@@@CCCCCCDDDDDDEEEFFFFFFFFFDDDDDDCCCBBB@@@??????>>><<<<<<===>>>???@@@AAAAAABBBDDDEEEEEECCCAAAAAAAAA???AAACCCEEEFFFFFFEEEEEECCCCCCCCCBBBAAAAAADDDFFFFFFFFFFFFEEEEEEEEEEEEEEEGGGFFFEEEFFFGGGGGGFFFEEEEEEFFFFFFGGGHHHIIIJJJKKKJJJJJJLLLMMMNNNNNNNNNNNNJJJIIIGGGFFFDDDCCCBBBBBBIIIIIIKKKMMMNNNPPPQQQQQQOOOOOONNNMMMMMMNNNOOOPPPJJJIIIGGGEEEFFFHHHJJJLLLOOORRRUUUVVVVVVUUUVVVVVVSSSSSSSSSRRRRRRRRRSSSSSSQQQRRRSSSPPPMMMKKKLLLOOONNNRRRXXXZZZZZZXXXWWWVVVWWWVVVTTTQQQPPPOOOOOOPPPMMMNNNPPPQQQRRRSSSSSSSSSTTTYYY______ZZZUUUSSSTTTQQQRRRSSSSSSRRRRRRSSSUUUWWWTTTPPPMMMMMMOOOSSSVVVSSSRRRQQQQQQQQQSSSTTTUUUVVVXXXYYYWWWTTTRRRSSSUUUTTTSSSQQQOOOOOOPPPRRRSSSQQQSSSUUUXXX[[[^^^```aaa```]]]ZZZVVVTTTSSSSSSSSSTTTUUUWWWZZZ]]]```bbbcccgggeeeccc```^^^\\\\\\\\\\\\]]]^^^]]][[[ZZZ[[[\\\ZZZZZZ[[[[[[\\\\\\\\\\\\WWWXXXZZZ\\\[[[YYYWWWUUUSSSVVVZZZZZZWWWTTTSSSTTTUUUVVVXXXZZZ[[[ZZZYYYXXXYYY[[[]]]]]]ZZZWWWVVVUUUXXXVVVTTTTTTUUUWWWWWWVVVWWWWWWVVVUUUTTTRRRPPPNNNMMMMMMMMMPPPSSSUUUTTTSSSTTTSSSRRRRRRSSSVVVZZZ\\\WWWYYY[[[^^^```aaaaaaaaa\\\]]]___aaacccccccccccc^^^]]][[[[[[\\\^^^aaaccc___```aaabbbaaa___]]]\\\___aaaccceeeeeedddbbb``````___^^^___aaabbbaaa``````]]][[[^^^eeejjjjjjiiigggdddaaa```bbbeeeggghhhjjjjjjjjjjjjhhheeebbb```aaaaaaaaa```___```cccfffgggfffeeedddcccaaa```___fffgggiiijjjjjjiiihhhgggUUUSSSRRRSSSVVVVVVSSSPPPSSSPPPNNNNNNQQQSSSSSSQQQUUUTTTRRRSSSUUUWWWXXXXXXTTTSSSQQQPPPOOOOOOPPPPPPPPPOOOMMMLLLKKKJJJJJJJJJLLLKKKJJJJJJJJJKKKLLLMMMKKKKKKKKKKKKKKKLLLLLLMMMEEEEEEDDDEEEFFFHHHJJJLLLKKKMMMOOOMMMHHHFFFFFFGGGFFFFFFFFFFFFFFFGGGGGGHHHIIIIIIIIIIIIHHHFFFDDDCCC??????@@@AAACCCDDDEEEEEECCCCCCDDDEEEEEEEEEEEEEEEBBBAAA???============>>>>>>===<<<;;;:::;;;<<<<<<;;;;;;<<<<<<<<<<<<<<<<<<;;;:::999888777777777777;;;;;;;;;:::999888777666???===<<<===@@@AAA@@@===AAA@@@???>>>>>>???@@@BBBBBBBBB@@@>>>===<<<<<<<<<======>>>@@@AAAAAA>>><<<<<<<<<======<<<;;;::::::999999::::::;;;<<<============<<<<<<<<<;;;;;;;;;<<<>>>???>>>===<<<===??????>>>>>>=========>>>>>>@@@@@@??????>>>=========;;;:::999888777777777777999999999999999999999999======<<<<<<<<<;;;;;;;;;===<<<;;;999999888888888777777777777888999:::;;;:::;;;<<<===???AAABBBCCC??????@@@@@@@@@AAAAAAAAA<<<<<<;;;:::999999888888;;;;;;:::;;;;;;<<<===>>>CCCCCCCCCCCCCCCBBB@@@>>>BBBCCCDDDDDDDDDEEEGGGHHHIIIGGGDDDAAA>>>===<<<<<<@@@?????????@@@AAAAAABBBEEEDDDDDDDDDDDDDDDEEEEEECCCDDDEEEFFFFFFEEEDDDCCCBBBBBBAAAAAAAAABBBBBBCCCEEEEEEFFFGGGHHHIIIIIIJJJIIIFFFDDDEEEHHHIIIIIIGGGGGGGGGHHHIIIJJJJJJJJJJJJLLLJJJIIIKKKNNNPPPOOOMMMLLLKKKIIIFFFDDDCCCBBBBBBGGGGGGHHHHHHJJJKKKMMMNNNSSSRRRRRRPPPNNNKKKIIIHHHIIIJJJKKKJJJHHHHHHJJJKKKMMMOOORRRTTTTTTUUUVVVWWWWWWUUURRRPPPQQQRRRRRRRRRQQQRRRRRROOOKKKIIIKKKMMMQQQQQQSSSTTTUUUVVVWWWWWWWWWVVVTTTPPPMMMLLLMMMOOOPPPPPPQQQRRRRRRRRRRRRRRRVVV[[[```bbb```[[[WWWUUUSSSTTTTTTUUUVVVVVVVVVVVVVVVSSSOOOLLLLLLMMMNNNMMMRRRRRRQQQOOONNNPPPSSSVVVSSSTTTUUUTTTRRRQQQQQQQQQQQQQQQQQQOOOMMMMMMOOOQQQTTTTTTTTTVVVXXX\\\___aaa^^^XXXRRROOOPPPRRRSSSRRRVVVWWWXXXYYYZZZ[[[\\\]]]dddaaa^^^ZZZXXXXXXYYYZZZYYYYYYZZZ\\\]]]]]]ZZZXXXXXXVVVVVVYYY^^^___]]]ZZZ^^^]]]\\\\\\\\\ZZZVVVTTTUUUVVVWWWWWWUUUSSSQQQOOOUUUVVVWWWYYYYYYYYYXXXXXXZZZ[[[\\\]]]\\\ZZZXXXWWWWWWXXXXXXXXXWWWVVVVVVUUUWWWXXXXXXWWWUUUTTTTTTTTTSSSRRRRRRRRRRRRSSSSSSTTTUUUTTTTTTTTTUUUXXXZZZ\\\]]][[[[[[]]]bbbddddddbbbaaa``````bbbeeedddaaa]]]]]]]]]\\\\\\\\\\\\]]]]]]aaa```]]][[[ZZZZZZ[[[[[[]]]```dddgggiiiiiihhhfffaaaaaaaaabbbcccdddeeefffeeeccc```___^^^```bbbccc````````````aaabbbcccdddeeehhhkkkkkkiiigggeeeeeecccbbbaaa``````bbbdddeeefffeeeccc___]]]]]]```ccccccfffiiijjjiiihhhggghhhPPPOOONNNOOORRRTTTSSSRRRSSSPPPNNNNNNPPPQQQPPPNNNOOOOOONNNPPPSSSVVVWWWWWWRRRQQQPPPNNNNNNNNNNNNNNNOOONNNMMMKKKJJJIIIHHHHHHIIIIIIKKKLLLLLLLLLLLLKKKJJJJJJJJJJJJJJJKKKKKKLLLFFFEEEEEEEEEFFFHHHJJJKKKJJJLLLMMMKKKGGGEEEEEEFFFEEEEEEEEEEEEEEEFFFFFFGGGGGGGGGGGGFFFDDDBBB@@@>>>>>>??????@@@BBBCCCCCCDDDBBBBBBCCCCCCCCCCCCCCCCCCAAA@@@???>>>=========>>>>>>===;;;999888777888888:::::::::::::::;;;;;;;;;;;;:::999888888777777777;;;;;;;;;;;;:::999888777>>><<<;;;<<<>>>???>>><<<999:::;;;<<<============AAA@@@???>>>===<<<<<<<<<>>>===>>>???AAA@@@===;;;;;;;;;;;;;;;;;;:::999999888999999:::;;;;;;<<<<<<===<<<<<<<<<;;;;;;;;;:::;;;<<<======;;;;;;<<<===>>>======<<<<<<=========AAA@@@@@@??????>>>======999888888777888888999999:::::::::999999999999999::::::::::::;;;<<<=========<<<;;;::::::999999999777777777777888999:::;;;;;;;;;<<<===>>>@@@AAAAAA????????????@@@@@@@@@@@@;;;;;;::::::999888888888;;;::::::;;;;;;<<<===>>>???@@@AAABBBDDDDDDDDDCCCAAABBBCCCCCCCCCCCCDDDEEEGGGFFFEEECCCAAA@@@?????????????????????@@@AAABBBCCCCCCDDDEEEFFFHHHIIIJJJEEEEEEFFFFFFEEEDDDDDDCCCCCCCCCBBBBBBBBBCCCDDDDDDAAAAAAAAABBBCCCDDDDDDEEEGGGEEECCCDDDFFFHHHGGGEEEGGGHHHIIIJJJJJJJJJJJJJJJKKKIIIHHHJJJMMMOOONNNLLLMMMLLLJJJIIIGGGFFFEEEEEEHHHHHHHHHJJJKKKMMMOOOPPPRRRRRRQQQOOONNNLLLJJJIIIJJJKKKKKKJJJIIIIIIJJJLLLMMMPPPSSSVVVVVVVVVWWWXXXYYYVVVSSSRRRRRRSSSSSSRRRSSSTTTTTTQQQNNNLLLMMMOOOPPPPPPPPPQQQRRRSSSUUUVVVUUUUUUSSSPPPLLLKKKLLLNNNPPPPPPQQQRRRRRRRRRQQQQQQSSSWWW[[[]]]\\\YYYWWWVVVSSSTTTTTTUUUVVVUUUUUUTTTTTTQQQMMMLLLLLLMMMMMMMMMQQQQQQPPPOOONNNOOOSSSVVVRRRSSSTTTSSSPPPOOONNNOOONNNOOOOOOMMMKKKKKKMMMNNNPPPPPPPPPRRRUUUYYY]]]___^^^ZZZUUURRRSSSTTTTTTTTTTTTTTTUUUVVVXXXYYYZZZZZZ___]]][[[YYYXXXXXXXXXYYYXXXXXXYYY[[[]]]\\\ZZZWWWYYYYYYZZZ\\\^^^___^^^]]]___]]]]]]]]]]]]]]][[[YYYXXXXXXWWWVVVUUUUUUUUUUUUXXXYYYZZZ\\\\\\\\\[[[[[[ZZZ[[[\\\]]]\\\[[[YYYXXXZZZZZZZZZZZZZZZYYYXXXXXXXXXYYYZZZYYYWWWTTTSSSRRRRRRRRRRRRRRRSSSUUUWWWXXXWWWWWWVVVVVVWWWYYYZZZ[[[^^^]]]\\\^^^bbbdddcccbbbbbbaaaaaaccceeeeeebbb___]]]]]]\\\\\\\\\\\\]]]]]]___]]][[[YYYXXXXXXYYYZZZ]]]___cccggghhhhhhgggfffccccccccccccddddddeeefffeeecccbbb```___```aaabbb```````````````aaabbbccceeegggjjjkkkiiigggffffffcccbbb```______```aaabbbbbbbbb```]]][[[\\\___aaadddgggjjjkkkjjjiiiiiijjjJJJIIIHHHJJJMMMPPPRRRRRRPPPOOONNNNNNOOOOOOMMMKKKIIIIIIJJJMMMQQQTTTTTTSSSPPPOOONNNMMMLLLLLLLLLMMMNNNMMMLLLJJJHHHGGGGGGGGGEEEGGGJJJMMMMMMLLLKKKIIIHHHHHHHHHHHHHHHIIIIIIJJJGGGFFFFFFFFFFFFGGGHHHIIIHHHIIIJJJIIIFFFDDDCCCDDDDDDCCCCCCCCCCCCDDDEEEEEEDDDDDDDDDCCCAAA>>><<<:::===>>>>>>???@@@AAAAAABBBAAAAAAAAA@@@@@@@@@@@@@@@AAA@@@???>>>=========>>>>>>===;;;999777666555555777888888888999999999:::;;;;;;:::999888888888888::::::;;;;;;;;;;;;::::::<<<;;;:::;;;=========<<<777999<<<>>>@@@@@@???>>>??????>>>===============???>>>>>>?????????<<<:::999::::::::::::999999888888999999::::::;;;;;;;;;<<<<<<;;;;;;;;;;;;:::::::::;;;<<<;;;::::::;;;<<<<<<<<<;;;;;;;;;<<<<<<===@@@@@@@@@???>>>>>>======666666666777888999:::;;;;;;;;;::::::999999999888777777777888999;;;>>>???======<<<<<<;;;:::::::::777666666777777888999:::;;;;;;<<<<<<===>>>>>>???>>>>>>>>>>>>????????????;;;;;;::::::999888888888::::::::::::;;;<<<===>>>======>>>@@@AAABBBCCCCCC@@@AAAAAABBBBBBAAAAAA@@@BBBBBBCCCCCCBBBAAAAAA@@@??????????????????@@@AAA@@@@@@BBBCCCFFFHHHKKKLLLHHHGGGFFFEEEDDDCCCCCCCCCDDDCCCCCCCCCCCCDDDEEEFFFBBBBBBBBBCCCCCCDDDDDDDDDDDDCCCBBBCCCEEEFFFEEEDDDFFFGGGHHHIIIJJJJJJJJJJJJIIIHHHHHHJJJLLLNNNNNNMMMOOONNNMMMLLLJJJIIIHHHGGGHHHHHHIIIJJJLLLNNNPPPQQQQQQPPPPPPOOONNNMMMLLLKKKKKKKKKLLLKKKJJJIIIKKKMMMLLLPPPUUUXXXYYYYYYYYYYYYZZZXXXUUUSSSTTTTTTSSSRRRSSSSSSSSSQQQNNNMMMMMMNNNOOONNNMMMMMMNNNPPPRRRTTTTTTTTTRRROOOLLLKKKLLLNNNPPPQQQRRRRRRRRRQQQPPPOOOOOORRRUUUWWWWWWWWWWWWXXXVVVWWWXXXXXXXXXWWWVVVUUUPPPNNNKKKKKKLLLMMMLLLLLLOOOPPPPPPOOOOOOPPPSSSUUUSSSSSSSSSQQQNNNLLLLLLLLLLLLLLLLLLKKKJJJIIIKKKLLLNNNNNNOOOPPPTTTXXX\\\^^^^^^\\\YYYWWWWWWWWWWWWVVVTTTTTTUUUVVVXXXYYYZZZZZZZZZZZZYYYYYYXXXXXXWWWWWWVVVWWWXXX[[[]]]\\\YYYVVVXXXZZZ\\\]]]]]]]]]]]]^^^^^^]]][[[\\\]]]^^^^^^]]]\\\ZZZYYYWWWWWWYYY[[[\\\[[[\\\^^^___`````````___ZZZ[[[[[[\\\]]]\\\\\\[[[\\\]]]]]]]]]]]]\\\\\\[[[ZZZ[[[\\\\\\ZZZWWWTTTRRRSSSRRRRRRRRRTTTWWWZZZ\\\ZZZZZZ[[[[[[[[[\\\\\\\\\aaa``````aaacccdddcccbbbcccbbbbbbdddeeeeeecccaaa]]]]]]\\\\\\\\\\\\]]]]]]]]]\\\[[[ZZZYYYZZZZZZ[[[]]]___bbbeeeggggggfffeeeffffffffffffffffffffffffeeedddcccbbbaaa`````````````````````aaaaaaaaaaaadddfffiiiiiihhhgggggggggeeedddbbbaaa``````aaaaaaaaa```___]]][[[[[[]]]```bbbeeeggghhhhhhgggggghhhGGGFFFEEEFFFHHHKKKNNNOOOKKKKKKLLLMMMNNNMMMLLLJJJGGGGGGIIILLLPPPQQQPPPOOONNNNNNMMMLLLLLLLLLLLLLLLLLLKKKJJJIIIHHHHHHHHHHHHDDDFFFHHHJJJKKKKKKJJJIIIFFFEEEEEEEEEEEEFFFGGGGGGGGGFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFDDDCCCBBBBBBBBBBBBBBBAAABBBCCCCCCDDDAAAAAABBBBBBAAA???===<<<=========>>>>>>?????????@@@@@@??????>>>>>>>>>>>>@@@??????>>>>>>>>>>>>>>>???>>>===;;;:::999888777777777888888999999::::::;;;;;;:::999999999999999999:::;;;;;;<<<<<<<<<;;;;;;;;;;;;;;;<<<<<<<<<<<<999:::<<<===?????????>>>=========<<<<<<======>>>???>>>===>>>>>>===;;;999999999::::::::::::999999999:::::::::;;;;;;;;;<<<;;;;;;:::::::::::::::::::::;;;<<<;;;:::999:::<<<;;;;;;:::::::::;;;<<<<<>>>>>======<<<<<<;;;666666666777777888999:::;;;;;;::::::999999888888777666666666777:::<<<>>><<<<<<<<<<<<<<<;;;;;;:::666666666666666777888999;;;;;;;;;;;;<<<<<<<<<<<<<<<============>>>>>>>>>;;;;;;;;;;;;::::::999999::::::::::::;;;<<<============>>>=========???@@@BBBAAAAAAAAABBBAAA???===;;;<<<>>>@@@AAAAAA@@@?????????>>>>>>>>>??????@@@===>>>???@@@CCCEEEHHHIIIJJJIIIFFFDDDCCCBBBBBBCCCBBBBBBBBBBBBCCCDDDEEEEEECCCCCCDDDDDDDDDDDDDDDDDDCCCCCCCCCCCCDDDEEEDDDDDDDDDEEEFFFGGGHHHHHHIIIIIIHHHIIIIIIJJJLLLNNNNNNNNNRRRQQQPPPNNNLLLIIIGGGFFFGGGHHHIIIJJJLLLOOOPPPRRROOOOOONNNNNNNNNMMMNNNNNNKKKLLLMMMLLLKKKJJJLLLNNNLLLPPPVVVYYYZZZZZZZZZZZZYYYWWWUUUTTTTTTTTTSSSRRRQQQQQQPPPNNNMMMLLLLLLLLLPPPNNNLLLKKKLLLNNNPPPRRRSSSSSSRRRPPPNNNLLLMMMOOOQQQRRRSSSTTTTTTRRRQQQPPPMMMOOOQQQRRRSSSUUUXXXZZZ\\\\\\]]]]]]]]][[[YYYXXXMMMKKKJJJJJJKKKLLLLLLKKKNNNOOOQQQQQQQQQRRRTTTVVVUUUUUUTTTQQQNNNKKKKKKLLLKKKLLLMMMLLLJJJJJJKKKMMMRRRQQQRRRSSSUUUYYY\\\^^^^^^]]]\\\[[[ZZZYYYXXXWWWWWWWWWXXXYYY[[[\\\]]]]]][[[[[[[[[[[[[[[YYYXXXWWWUUUUUUWWWZZZ\\\\\\YYYWWWXXX[[[]]]]]]ZZZZZZ\\\___^^^\\\YYYYYY[[[]]]]]]]]]\\\\\\[[[[[[\\\]]]___```]]]___```bbbcccccccccbbb[[[[[[[[[\\\]]]^^^^^^___^^^^^^____________^^^^^^[[[\\\^^^___```]]]YYYVVVUUUTTTSSSSSSTTTVVVYYY[[[[[[\\\^^^___```aaaaaaaaaeeeeeeddddddeeeeeeeeedddccccccdddeeeeeeeeedddccc^^^^^^^^^]]]]]]^^^^^^^^^______^^^]]]]]]]]]^^^^^^]]]___bbbeeeffffffeeedddffffffggggggggggggggggggddddddcccbbbbbb``````___aaabbbbbbbbbbbbbbbbbbbbbbbbdddffffffeeeeeefffggghhhgggeeedddcccbbbbbbbbbbbbbbbaaa___\\\[[[\\\]]]\\\___aaabbbaaaaaabbbcccGGGGGGEEEDDDDDDFFFHHHJJJFFFGGGJJJLLLMMMMMMMMMMMMJJJJJJKKKLLLNNNNNNMMMKKKMMMMMMMMMMMMLLLLLLLLLKKKHHHHHHHHHHHHHHHIIIJJJJJJEEEEEEEEEEEEFFFGGGHHHIIICCCCCCBBBBBBCCCCCCDDDEEEEEEEEEEEEEEEEEEDDDDDDDDDDDDCCCCCCCCCCCCCCCAAA@@@AAAAAA@@@@@@AAAAAABBBCCC@@@@@@BBBCCCCCCCCCBBBAAA<<<=====================??????>>>=========>>>???????????????>>>>>>>>>===<<<<<<<<<<<<;;;::::::999888888888999:::;;;;;;<<<<<<;;;::::::::::::::::::999999:::;;;<<<<<<<<<<<<;;;;;;<<<<<<<<<<<<======999999888777888999:::;;;<<<<<<<<<;;;<<<<<<===>>>???>>><<<<<<===<<<:::999::::::;;;;;;;;;;;;::::::;;;;;;;;;;;;<<<<<<<<<<<<999999:::::::::::::::::::::;;;<<<<<<::::::;;;<<<:::::::::::::::;;;<<<<<<<<<<<<;;;;;;:::999999999888777777777777777777888:::::::::999999888888888888888777666777888999::::::;;;;;;<<<;;;;;;:::999666666666555666666777777::::::::::::::::::::::::;;;;;;;;;<<<<<<<<<======<<<<<<<<<<<<;;;;;;;;;;;;:::999999::::::;;;<<<======>>>>>>===<<<>>>AAADDDFFFDDDBBBBBBBBBAAA>>><<<999:::<<>>>>>======>>>>>>>>>>>>>>>???@@@AAACCCEEEFFFJJJHHHFFFDDDBBBAAAAAABBB@@@??????@@@AAABBBCCCCCCBBBBBBBBBBBBAAAAAAAAAAAABBBCCCDDDEEEEEEDDDDDDDDD@@@AAACCCDDDEEEFFFFFFFFFHHHIIIJJJKKKLLLNNNOOOPPPRRRRRRQQQOOOLLLIIIFFFEEEGGGGGGHHHJJJKKKMMMOOOPPPOOONNNNNNMMMMMMNNNOOOOOOLLLMMMNNNMMMLLLKKKMMMOOOMMMQQQUUUXXXYYYYYYYYYZZZWWWUUUSSSSSSTTTTTTSSSQQQQQQPPPOOONNNMMMMMMLLLLLLPPPOOOMMMKKKKKKMMMOOOQQQRRRRRRRRRQQQOOONNNNNNPPPQQQRRRTTTUUUUUUTTTRRRQQQLLLMMMNNNOOOPPPSSSXXX\\\^^^___``````___]]]ZZZYYYMMMKKKIIIIIIKKKLLLMMMLLLNNNPPPSSSTTTTTTUUUVVVXXXWWWWWWVVVRRROOOLLLMMMMMMMMMNNNPPPOOONNNMMMNNNOOOVVVUUUTTTTTTUUUWWWYYY[[[\\\]]]]]]\\\[[[YYYYYYXXXXXXXXXYYYZZZ\\\]]]^^^___]]]^^^______^^^\\\ZZZXXXUUUUUUVVVYYY[[[\\\[[[YYY[[[]]]___^^^[[[ZZZ]]]```___]]][[[ZZZ[[[]]]]]]\\\[[[\\\^^^```aaaaaaaaaaaa^^^___aaacccdddddddddddd\\\\\\\\\\\\]]]^^^```aaa^^^______`````````______\\\]]]___bbbeeeddd```]]]XXXWWWVVVTTTTTTUUUWWWXXXZZZ\\\^^^aaaccceeeffffffhhhhhhhhhhhhgggffffffgggddddddeeeeeedddddddddddd``````____________```````````````____________```^^^```bbbdddeeefffeeeeeedddeeefffggghhhhhhhhhhhhccccccbbbbbbaaa```______ccccccdddeeeeeeeeeddddddaaabbbccccccbbbbbbdddfffhhhgggfffdddcccbbbbbbaaaccccccbbb___[[[YYYXXXXXXXXXZZZ\\\]]]]]]]]]^^^```IIIIIIHHHFFFCCCCCCDDDEEECCCFFFIIIJJJKKKLLLNNNOOONNNMMMLLLLLLMMMLLLJJJIIIKKKKKKLLLLLLLLLLLLKKKJJJFFFFFFFFFFFFGGGHHHHHHIIIDDDCCCBBBAAABBBCCCEEEFFF@@@@@@@@@@@@@@@AAABBBBBBCCCCCCCCCDDDDDDCCCBBBBBBBBBAAAAAABBBCCCCCCAAA@@@AAA@@@@@@@@@@@@AAABBBBBB???@@@BBBDDDEEEFFFFFFEEE============<<<<<<<<<<<<===<<<;;;;;;;;;<<<>>>???>>>>>>????????????>>>===::::::;;;;;;;;;:::999999888999999:::;;;<<<======<<<;;;;;;::::::;;;;;;;;;999999:::;;;;;;;;;;;;;;;:::;;;===<<<;;;;;;<<<>>><<<;;;999888888999;;;<<<<<<<<<;;;;;;;;;<<<<<<===>>>===;;;;;;<<<<<<;;;999999::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;888888999999999999:::::::::;;;<<<<<<::::::;;;<<<::::::::::::;;;;;;<<<===:::::::::999888888777777888777777666666666777777888888888888888888888888999999888888888777777666777888999::::::999888777666666555555555555666666888999999999999999999999::::::::::::;;;;;;;;;<<<<<<<<<<<<;;;;;;;;;;;;;;;999999999999:::;;;<<<===;;;===>>>>>>>>>BBBHHHMMMJJJFFFBBBAAABBBAAA>>>;;;;;;<<<===???@@@AAAAAAAAA???>>>>>>===============AAAAAAAAAAAABBBCCCDDDEEEHHHGGGEEECCCBBBAAA@@@@@@=========>>>???@@@AAABBBEEEEEEDDDDDDCCCCCCBBBBBB@@@BBBEEEEEEDDDCCCCCCDDD>>>???@@@BBBCCCDDDDDDDDDFFFHHHJJJKKKKKKLLLNNNPPPQQQQQQPPPOOOMMMKKKHHHFFFHHHHHHIIIJJJKKKMMMNNNOOOOOOOOOMMMMMMMMMNNNOOOPPPMMMNNNOOONNNMMMLLLNNNPPPNNNQQQTTTVVVVVVVVVWWWYYYUUUSSSSSSSSSTTTUUUTTTRRRTTTRRRPPPOOOPPPPPPOOONNNPPPOOOMMMLLLLLLMMMNNNOOOPPPQQQQQQQQQOOONNNNNNOOOOOOQQQTTTVVVVVVUUUSSSQQQMMMMMMMMMMMMNNNRRRWWWZZZ\\\]]]___```___]]]ZZZXXXPPPMMMJJJIIIJJJMMMNNNOOOMMMPPPTTTVVVVVVWWWXXXYYYYYYXXXWWWSSSPPPNNNNNNPPPPPPQQQSSSSSSRRRRRRRRRSSSVVVUUUSSSRRRRRRTTTUUUWWWZZZ[[[\\\[[[XXXWWWXXXYYYVVVVVVWWWXXXZZZ[[[\\\]]]^^^^^^_________^^^\\\[[[VVVVVVVVVWWWZZZ\\\]]]\\\___``````___^^^]]]___```aaa___^^^^^^___```___^^^[[[]]]```bbbccccccbbbaaa^^^___aaacccdddeeeeeeddd___^^^\\\\\\]]]___aaaccc______```aaaaaaaaa``````^^^]]]___cccggghhheeebbb\\\[[[ZZZXXXWWWVVVUUUUUUYYYZZZ\\\___bbbeeeggghhhhhhiiijjjiiigggfffggghhhcccdddeeeeeeccccccdddeeebbbbbbaaaaaaaaaaaabbbbbbaaaaaaaaa``````_________```aaacccdddeeefffeeeeeecccdddfffgggggggggfffeeeaaaaaa```_________``````bbbccceeeggggggggggggfffbbbbbbbbbaaa``````ccceeeeeedddcccbbbaaa```_________```___]]]YYYUUUTTTTTTWWWYYY[[[\\\[[[\\\^^^```JJJKKKKKKIIIEEEBBBBBBDDDEEEGGGIIIIIIIIIJJJMMMPPPOOOMMMKKKKKKKKKKKKJJJIIIHHHIIIJJJKKKKKKJJJIIIIIIFFFEEEDDDDDDCCCCCCDDDDDDAAAAAAAAAAAAAAA@@@@@@@@@>>>>>>>>>>>>>>>???@@@@@@@@@@@@AAABBBBBBBBBAAA@@@BBB@@@@@@AAACCCDDDBBB???AAA@@@@@@@@@@@@AAABBBBBB???AAABBBDDDEEEEEEEEEEEE>>>>>>======<<<<<<<<<;;;:::999888888999;;;===>>>===>>>???@@@@@@???>>>===<<<<<<======<<<:::999888888888999:::;;;<<<======<<<<<<;;;;;;;;;;;;<<<<<<888999:::::::::::::::999888:::<<<;;;:::999;;;===<<<<<<<<<<<<<<<===>>>>>><<<<<<;;;;;;:::;;;;;;;;;===;;;::::::;;;<<<;;;:::888888999:::::::::::::::999999999999999999999999888888888888999999999:::999:::;;;:::999888999;;;::::::::::::;;;<<<===>>>:::::::::999888888777777666666666666666777888999555555555666777777888888777888999::::::888666555444555777888888777555444666555555444444555555666777777777888888999999999999999999::::::::::::;;;::::::::::::::::::::::::999999999999:::;;;<<<===:::<<<>>>======AAAIIIOOOMMMHHHAAA???@@@@@@>>>;;;============>>>???@@@AAA???>>>===<<<<<<<<<<<<===@@@@@@@@@@@@AAACCCDDDEEEDDDDDDDDDCCCBBB@@@???>>><<<<<<<<<===>>>???AAABBBGGGGGGGGGFFFEEEDDDDDDCCC===@@@DDDDDDCCCAAAAAABBB===>>>@@@AAACCCDDDDDDDDDCCCEEEHHHIIIIIIJJJLLLOOOMMMNNNOOOPPPOOONNNLLLKKKKKKKKKKKKKKKLLLMMMNNNOOOPPPOOONNNLLLLLLMMMOOOPPPNNNOOOPPPOOOMMMMMMOOOPPPOOOQQQRRRRRRRRRSSSUUUWWWTTTSSSSSSTTTVVVWWWVVVUUUTTTQQQOOOOOOPPPQQQOOONNNOOONNNMMMLLLLLLLLLLLLLLLLLLNNNOOOOOOMMMLLLLLLMMMLLLNNNQQQTTTUUUTTTRRRQQQLLLMMMLLLLLLLLLOOOSSSWWW\\\]]]___aaa```^^^[[[YYYTTTPPPKKKIIIJJJMMMPPPQQQKKKOOOSSSVVVWWWWWWXXXXXXYYYXXXVVVSSSPPPNNNOOOQQQRRRTTTVVVWWWVVVUUUUUUVVVTTTSSSRRRQQQQQQSSSTTTVVVXXXYYYZZZXXXUUUTTTVVVXXXTTTTTTUUUWWWXXXYYYZZZ[[[YYYZZZ[[[\\\]]]^^^^^^^^^YYYWWWUUUVVVYYY]]]___```aaa___]]]\\\]]]^^^]]]]]]^^^^^^^^^___aaabbbaaa___^^^^^^___```aaabbbbbbbbb^^^___aaadddeeeffffffeeeaaa___]]]\\\]]]___bbbccc```aaaaaabbbccccccbbbbbb```___^^^bbbfffhhhfffbbb^^^^^^]]]]]][[[YYYWWWVVVWWWXXXYYYZZZ]]]```ccceeeeeegggiiigggeeedddeeegggbbbdddeeedddbbbaaacccfffddddddccccccccccccddddddddddddccccccbbbaaa```___aaabbbccceeeffffffffffffdddeeeffffffeeedddaaa``````___]]]]]]]]]^^^```aaa```bbbdddggghhhhhhhhhgggeeeeeecccaaa``````cccfffcccbbbbbbbbbaaa```___^^^[[[\\\]]]\\\YYYVVVTTTTTTWWWXXXZZZ[[[[[[\\\^^^```JJJLLLMMMKKKFFFCCCCCCDDDGGGIIIJJJIIIHHHIIILLLPPPOOOMMMJJJIIIJJJKKKJJJJJJFFFGGGHHHIIIIIIIIIHHHGGGFFFEEEDDDBBB@@@@@@??????>>>@@@AAABBBAAA???===;;;===============>>>??????>>>???@@@AAABBBAAA@@@@@@BBB@@@???@@@CCCDDDBBB???AAAAAA@@@@@@AAAAAABBBCCC@@@AAABBBCCCDDDCCCCCCBBB>>>>>>>>>===<<<<<<;;;;;;777666666666777999<<<>>>===>>>???@@@@@@???>>>===AAAAAAAAA@@@>>><<<:::888777888888:::;;;<<<======<<<<<<;;;;;;;;;<<<<<<===999999999::::::999999888666999;;;:::888777999<<<555666999;;;======<<<;;;===<<<;;;::::::::::::;;;<<<;;;999999;;;<<<<<<;;;666777888999999999999999888888777777777777777777777777888888999999999:::777999:::999888777888999:::::::::;;;<<<===>>>???;;;;;;::::::999888888777333444444555777888:::;;;333333444555666777888888666777:::;;;;;;:::777555222333555777777666444333666555555444444444555555666666666777888888999999888888999999999:::::::::888888888888888888888999999999999999:::;;;<<<<<<:::<<<===;;;:::<<>>???===:::<<<<<<;;;::::::<<<===>>>???>>>===<<<<<<<<<<<<<<<<<<<<<===>>>???AAACCCDDDBBBBBBCCCCCCBBB@@@>>>===<<<<<<<<<===>>>@@@AAABBBDDDDDDCCCBBBAAA@@@@@@???;;;???CCCCCCAAA???@@@AAA>>>>>>@@@BBBCCCDDDEEEEEEAAADDDGGGGGGGGGHHHKKKNNNJJJKKKNNNPPPRRRRRRQQQPPPMMMMMMLLLLLLMMMNNNNNNOOOQQQPPPNNNLLLLLLMMMNNNOOOOOOPPPPPPOOONNNNNNOOOQQQPPPQQQQQQPPPPPPQQQSSSVVVSSSSSSSSSUUUXXXYYYXXXWWWRRROOOLLLLLLNNNOOONNNKKKMMMMMMMMMLLLLLLKKKJJJJJJJJJLLLMMMMMMKKKJJJKKKLLLIIILLLOOORRRTTTSSSQQQPPPLLLLLLLLLKKKKKKMMMQQQTTT]]]___aaaccccccaaa^^^\\\WWWRRRLLLIIIJJJNNNQQQSSSJJJNNNRRRVVVWWWWWWWWWXXXXXXWWWUUURRROOONNNPPPQQQSSSUUUWWWXXXWWWVVVWWWWWWSSSRRRQQQQQQRRRTTTVVVXXXWWWXXXXXXVVVSSSRRRUUUXXXTTTUUUVVVWWWXXXZZZ[[[[[[UUUVVVWWWYYY[[[^^^___```ZZZXXXUUUUUUYYY]]]```bbb___\\\XXXXXXZZZ[[[ZZZXXXYYYYYY[[[^^^aaabbbaaa___```___^^^^^^___aaacccddd___```bbbdddffffffffffffbbb```^^^\\\\\\___bbbdddaaabbbccccccddddddddddddccc```^^^```eeegggdddaaa^^^___``````___\\\YYYXXXWWWWWWVVVWWWYYY\\\___aaaccceeegggfffcccbbbdddfffbbbdddeeedddaaaaaacccffffffeeeeeeddddddeeeeeefffgggggggggfffeeedddbbbaaabbbcccdddeeefffgggggggggfffggggggfffdddaaa^^^\\\___^^^\\\[[[[[[^^^```bbb___```cccfffhhhhhhhhhgggggggggeeebbb```aaadddgggcccccccccccccccbbbaaa```YYY[[[^^^^^^\\\YYYXXXXXXUUUWWWXXXYYYYYYZZZ]]]___LLLLLLKKKJJJIIIGGGFFFEEEIIIJJJJJJIIIGGGFFFGGGIIILLLKKKIIIGGGFFFFFFGGGGGGFFFFFFEEEDDDDDDDDDDDDDDDDDDBBB@@@>>>=========>>>>>>>>>>>>>>>>>>>>>>>>>>>BBB@@@>>>===<<<===>>>???<<<<<<<<<=========>>>>>>?????????@@@@@@AAAAAAAAAAAA@@@?????????@@@AAABBB??????@@@@@@@@@@@@??????>>>>>>????????????>>>>>>>>>;;;:::;;;===>>><<<:::<<<===>>>@@@@@@@@@???>>>>>>>>>>>>=========<<<<<<;;;;;;;;;::::::999999999<<<======>>>===<<<:::999<<<<<<<<<<<<<<<;;;;;;;;;999:::<<<=========<<<;;;999999999999999999999999;;;:::999999888888888999666777888999:::999999888999999999999:::;;;<<<<<<888888888777777777777777;;;:::999888888999:::;;;999888777555555666666777888888999:::::::::999999<<<;;;888777666666777888555555555555555666666777888777666555555777999;;;888888777777666666555555444333222111111111222333444444555555666777777777666666777888999999::::::888888:::;;;<<<=========999999999888888888888777;;;;;;;;;;;;::::::999888:::999999999:::<<<>>>???DDDCCCAAA???===;;;::::::::::::;;;;;;;;;;;;;;;;;;===<<<<<<;;;;;;<<<<<<===888999:::<<<===???@@@AAA<<<<<<<<<<<<<<<<<<;;;;;;:::;;;;;;<<<===>>>??????@@@AAAAAA@@@===<<<<<<===>>>???AAACCCDDDDDDCCCCCCBBBBBBAAA@@@AAABBBCCCDDDDDDCCCBBBBBBCCCEEEHHHIIIMMMMMMMMMNNNOOOPPPQQQRRRNNNOOOOOOPPPPPPOOOOOONNNOOOOOOOOONNNNNNMMMMMMMMMPPPNNNMMMLLLLLLMMMNNNPPPQQQPPPOOONNNNNNOOOQQQSSSSSSTTTVVVWWWWWWVVVTTTSSSRRRQQQOOOMMMKKKKKKKKKKKKKKKLLLMMMNNNNNNMMMKKKJJJHHHHHHIIIJJJJJJJJJJJJJJJMMMNNNOOOPPPPPPPPPNNNNNNNNNMMMKKKJJJKKKNNNRRRTTT\\\^^^bbbdddeeedddbbb```\\\XXXSSSPPPPPPQQQRRRSSSPPPPPPPPPRRRSSSUUUWWWXXXQQQQQQOOONNNNNNNNNOOOOOOSSSTTTUUUVVVVVVUUUTTTSSSRRRQQQPPPPPPQQQTTTVVVWWW[[[ZZZZZZXXXVVVSSSQQQOOOUUUUUUTTTTTTTTTVVVWWWXXXXXXWWWWWWXXX[[[___cccfff___^^^\\\ZZZZZZ[[[\\\]]]]]]\\\[[[YYYYYYYYYYYYZZZYYYYYYYYYZZZ\\\___ccceeedddcccbbb```___```aaaaaa``````aaacccdddeeefffgggbbbaaa```]]][[[\\\^^^aaaddddddddddddddddddddddddeeebbb```______``````___aaa___^^^\\\\\\]]]^^^___[[[[[[[[[ZZZZZZ[[[\\\\\\aaaaaaaaaaaaaaaaaaaaaaaaddddddddddddddddddddddddeeedddbbbaaaaaadddfffhhhmmmiiieeedddddddddaaa^^^___```bbbccccccdddfffiiiddddddcccaaa^^^]]]^^^___aaabbbbbbaaa______```aaa`````````bbbeeefffeeeddddddeeeeeedddbbb```______````````````aaaaaaaaaaaa^^^^^^\\\[[[ZZZZZZYYYYYY\\\ZZZXXXWWWVVVWWWYYYZZZMMMMMMLLLKKKJJJHHHFFFEEEEEEFFFFFFEEECCCCCCDDDFFFHHHGGGFFFDDDDDDDDDDDDEEEFFFEEEDDDCCCCCCCCCCCCDDDCCCBBB???===<<<<<<===>>>>>>>>>>>>>>>>>>>>>>>>>>>BBB@@@>>><<<;;;<<<===>>>::::::;;;;;;;;;<<<<<<<<<>>>>>>???@@@@@@AAABBBBBBAAA@@@??????>>>???@@@AAA>>>??????????????????>>>;;;<<<===>>>???@@@@@@@@@===;;;:::;;;>>>@@@???===<<<===>>>???????????????AAAAAAAAA@@@@@@@@@??????;;;;;;;;;;;;::::::999999:::;;;;;;<<<<<<<<<;;;;;;>>>=====================;;;;;;<<<===>>>>>>??????::::::::::::::::::::::::;;;::::::999888888888888777888999:::;;;;;;::::::999999999888999999::::::666666666666666666666666999888777666666777888999888777666555555555666666777888999999::::::999999;;;:::888777777777999:::777777666666666666777777888777777666777888999:::777777777666666666555555777666444333222222222222222222333444444555555666555555666777777888888999888999999::::::::::::999999999999888888888777777::::::;;;;;;:::999999888999999888999:::;;;===>>>??????===<<<;;;;;;;;;;;;<<<<<<<<<<<<<<<<<<<<<<<<<<<;;;;;;;;;;;;;;;;;;<<<999:::;;;<<<>>>???@@@AAA<<<<<<<<<<<<<<<<<<<<<<<<;;;;;;<<<<<<===>>>>>>???>>>???@@@???<<<;;;;;;<<>>???AAABBBBBBAAAAAA??????>>>>>>>>>>>>===>>>>>>??????>>>>>>===::::::<<<===>>>@@@AAAAAA<<<;;;;;;<<>>============>>>>>>???AAAAAAAAAAAAAAA@@@@@@@@@<<<;;;;;;;;;;;;;;;::::::999999999999:::;;;<<<===========================<<<<<<<<<<<<>>>???AAACCC;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:::888888777777777777888999;;;;;;<<<<<<;;;999999888777777777888888555555555555666666666666777666666555555666666777666666555444444444444555777777888999999999999999:::999888888888999;;;<<<::::::999888777777777777777777888888999888888888666666666666666555555555999888666444333222222222000111111222222333444444444444555555666666777777888888999999888777777666999999888888888777777777999::::::::::::999888888777777777888999:::<<<===:::::::::::::::;;;;;;<<<>>>>>>======<<<<<<;;;;;;;;;;;;::::::::::::;;;;;;::::::;;;===>>>???@@@@@@<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<======>>>>>>>>>===>>>???>>><<<;;;;;;===AAAAAAAAABBBCCCDDDEEEFFFFFFEEEDDDCCCBBBBBBBBBBBBAAAAAA@@@AAABBBCCCEEEFFFHHHHHHHHHIIIJJJKKKMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMOOOOOOOOONNNNNNNNNNNNMMMOOONNNLLLJJJIIIIIIJJJJJJKKKLLLLLLMMMNNNOOOOOOPPPOOOPPPRRRSSSSSSRRRPPPOOONNNMMMLLLKKKJJJKKKLLLLLLLLLMMMNNNNNNNNNMMMKKKJJJMMMNNNNNNOOOOOONNNMMMLLLLLLMMMNNNOOOQQQRRRSSSSSSQQQPPPNNNMMMNNNQQQTTTVVVVVVXXX[[[^^^bbbeeefffggg^^^\\\ZZZZZZ[[[\\\[[[ZZZYYYXXXWWWVVVUUUUUUUUUUUURRRPPPMMMKKKJJJKKKMMMNNNPPPPPPPPPQQQRRRSSSTTTUUUSSSQQQNNNKKKKKKNNNQQQSSSUUUWWW[[[]]]^^^\\\YYYWWWQQQQQQQQQQQQRRRTTTVVVWWWXXXXXXXXXXXXZZZ^^^aaaccc```^^^]]][[[ZZZ[[[[[[\\\]]]]]][[[ZZZXXXXXXXXXXXX\\\[[[ZZZZZZ[[[]]]___aaaddddddcccbbb```]]]ZZZYYY]]]^^^___```bbbcccddddddbbbcccbbb```___```cccffffffeeedddcccdddfffgggiiifffdddbbbaaaaaaaaa```___bbb___\\\YYYXXXZZZ\\\]]]______^^^^^^^^^^^^_______________^^^^^^]]]]]]]]]````````````````````````^^^^^^^^^___```bbbddddddiiigggeeedddeeeeeecccbbb`````````^^^]]]^^^aaadddllliiiddd^^^YYYWWWYYY[[[\\\]]]^^^]]]^^^```cccgggccccccccceeehhhiiihhhggggggfffdddbbb```___^^^]]]ZZZZZZ[[[\\\^^^___``````VVVVVVVVVVVVWWWXXXZZZZZZZZZYYYWWWUUUUUUUUUUUUVVVCCCCCCCCCBBBAAA@@@>>>>>>;;;<<<======<<<<<<>>>@@@>>>>>>?????????@@@@@@AAACCCBBBBBBAAAAAAAAABBBBBBBBBAAA@@@>>>>>>===>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>AAA???<<<:::888888888999777777777777777777777777888999:::;;;===>>>@@@@@@AAA@@@???>>>======<<<<<<<<<======>>>>>>======<<<;;;;;;;;;<<<===>>>@@@@@@======<<<===>>>>>>>>>>>>>>>===<<<;;;<<<<<<>>>???========================;;;;;;;;;;;;;;;;;;;;;;;;:::999888777888999;;;<<<:::::::::::::::;;;;;;;;;<<<;;;::::::<<>>===<<<;;;999888777777777666777888::::::999777666555555555555555555555555666666555444333333222222000000111111222333333333444444555555666666666666777777888888888777777666888888888888777777777777888999999999999999888888666666777888999:::;;;;;;999999999999999:::;;;<<<>>>>>>===<<<;;;::::::999::::::::::::::::::::::::;;;;;;<<<===>>>>>>??????<<<<<<<<<<<<===========================>>>>>>>>>===>>>???>>>===<<<===>>>BBBAAAAAAAAABBBDDDFFFGGGGGGFFFEEEDDDCCCBBBAAAAAA@@@??????@@@AAABBBDDDEEEFFFFFFFFFGGGHHHJJJKKKLLLKKKKKKKKKJJJJJJKKKKKKKKKLLLLLLLLLLLLLLLLLLLLLLLLOOONNNMMMKKKJJJJJJJJJJJJIIIIIIKKKLLLMMMNNNNNNNNNNNNOOOQQQRRRRRRQQQOOONNNNNNMMMLLLJJJJJJJJJKKKKKKLLLLLLNNNOOOOOOOOOOOOOOONNNOOOPPPQQQPPPOOONNNMMMLLLLLLMMMNNNPPPRRRTTTVVVRRRQQQPPPOOOPPPRRRUUUVVVYYYYYYZZZ[[[\\\^^^```aaa[[[ZZZYYYZZZ\\\\\\[[[YYY\\\\\\[[[YYYXXXXXXXXXXXXSSSQQQMMMJJJIIIJJJKKKMMMNNNNNNNNNNNNPPPRRRTTTVVVTTTQQQLLLIIIHHHJJJNNNPPPQQQUUUZZZ^^^___]]]YYYVVVPPPPPPPPPPPPQQQSSSUUUWWWXXXXXXWWWXXXZZZ\\\___```___^^^]]][[[[[[ZZZ[[[[[[\\\\\\[[[[[[ZZZZZZZZZZZZ]]]\\\ZZZYYYYYY[[[\\\^^^___```aaaaaa```]]]YYYWWW[[[[[[\\\]]]___```aaabbbaaabbbbbbaaa```aaadddfffhhhfffdddbbbbbbcccfffgggdddcccaaabbbccccccbbbaaaaaa___[[[XXXWWWXXX[[[]]]```___^^^^^^^^^^^^^^^^^^^^^^^^^^^]]]]]]\\\[[[[[[]]]]]]]]]]]]]]]]]]]]]]]][[[\\\]]]___aaabbbcccdddffffffddddddddddddddddddbbbbbbaaa^^^]]]]]]```bbbjjjiiifffaaa\\\YYYYYYZZZ[[[\\\\\\[[[[[[]]]aaaeeefffeeefffhhhkkkmmmlllkkkgggdddbbb```_________^^^VVVWWWWWWXXXXXXYYYYYYZZZTTTTTTUUUWWWYYY[[[]]]^^^[[[ZZZYYYXXXWWWWWWWWWXXX@@@@@@@@@???>>>===<<<;;;:::;;;<<<<<<;;;;;;===???======>>>??????@@@@@@@@@AAA@@@@@@@@@@@@@@@AAAAAABBBAAA@@@@@@????????????========================???===;;;888666666777777666666666666666666666666555666777999:::<<<======??????>>>>>>===<<<;;;:::;;;<<<<<<======<<<<<<;;;===<<<<<<;;;;;;<<<===>>>>>>>>>>>>===;;;:::::::::>>>===<<<;;;;;;<<<===>>>:::::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:::999888777888999999888999999999:::::::::;;;;;;:::888888999===@@@CCC======<<<<<<<<<;;;;;;;;;:::999888888777777888888888888888888888999999:::888777777666555555555555666666666777777888888888777777777777777777777777444444444444444333333222444555666777888888888888777777888999:::<<<===>>>===<<<;;;999888777777777555666888:::999888666444444444444444444555555555111222222222333333222222111111111222333333444444555555555666666666666666555555777888888999999999888888888777777777666666777777888888999888888777555666777888999:::::::::;;;;;;::::::999:::::::::<<<<<<;;;;;;:::999888888999::::::;;;;;;::::::999;;;;;;<<<<<<=========>>><<<<<<<<<=========>>>>>>>>>>>>>>>>>>>>>=========>>>???@@@@@@???>>>???AAABBBAAAAAAAAABBBDDDFFFGGGGGGFFFFFFEEECCCBBBAAA@@@>>>>>>???@@@AAABBBCCCDDDEEEEEEEEEFFFHHHIIIKKKLLLJJJIIIHHHHHHHHHHHHIIIJJJIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIHHHHHHGGGGGGGGGGGGHHHIIIJJJKKKLLLLLLLLLLLLNNNOOOQQQRRRRRRQQQOOONNNPPPNNNLLLKKKJJJIIIJJJJJJKKKLLLNNNOOOQQQSSSTTTTTTQQQRRRTTTUUUUUUSSSQQQPPPMMMMMMMMMMMMOOOQQQTTTVVVSSSSSSRRRQQQRRRSSSUUUVVVXXXXXXWWWWWWXXXYYYZZZ[[[]]]]]]]]]___``````___]]]]]]\\\\\\[[[[[[[[[\\\\\\TTTRRROOOLLLJJJJJJKKKLLLNNNNNNNNNNNNPPPRRRUUUVVVTTTQQQLLLHHHGGGIIILLLOOOOOOSSSXXX\\\]]]ZZZVVVSSSQQQQQQPPPQQQRRRTTTUUUWWWWWWWWWWWWWWWXXXZZZ[[[]]]\\\\\\[[[[[[ZZZZZZZZZZZZZZZZZZ[[[\\\]]]]]]]]]]]]]]][[[YYYXXXWWWXXXYYYZZZYYY[[[^^^______]]]ZZZYYYXXXYYYZZZ[[[\\\]]]^^^___``````aaa```___```bbbdddhhhfffcccaaa```aaabbbdddaaa``````bbbdddeeedddccc```^^^[[[XXXWWWYYY[[[\\\^^^]]]\\\\\\[[[[[[[[[\\\]]]]]]\\\\\\[[[[[[[[[ZZZ[[[[[[[[[[[[[[[[[[[[[[[[YYYZZZ\\\___aaacccdddeeedddddddddcccccccccdddeeeddddddbbb```^^^^^^```bbbeeefffgggfffbbb___]]]\\\\\\\\\\\\[[[ZZZ[[[]]]```dddeeegggmmmssswwwyyyyyynnnjjjeeeaaa``````___]]]XXXXXXXXXWWWVVVVVVUUUUUUVVVVVVWWWYYY[[[^^^```aaa]]]]]]]]]\\\\\\\\\\\\\\\AAAAAAAAAAAA@@@???>>>===;;;<<<===<<<;;;;;;===>>>======>>>???@@@@@@@@@?????????>>>>>>??????@@@@@@@@@@@@@@@@@@??????>>>>>><<<<<<<<<<<<<<<<<<<<<<<<===;;;999666555555666666777777666666666666555555555555666777888:::;;;;;;===============<<<;;;:::;;;;;;;;;<<<<<<;;;;;;;;;===<<<;;;::::::;;;<<<===?????????===:::888888888===<<<<<<;;;;;;;;;;;;<<<999999999:::::::::::::::999999::::::::::::;;;;;;<<<;;;:::999888888888888999::::::;;;;;;<<<<<<<<<:::999777777888;;;>>>@@@<<<<<<;;;;;;:::999999999888777777777777888999999:::999888777777777888888777777666555555555666666666666777777888888999999777888888999999888888777444444555555444444333222333444555777888888888888666666888999:::<<<======<<<;;;:::888777666666666555666777888888666555333333333333444444444444444...///000111222222222111111222222333333444555555666666666666666666666666444444666777888999999999888888777777777666666666666666777888888888888777555666777888::::::::::::===<<<;;;::::::999::::::;;;;;;::::::999999888888999:::;;;<<<<<<;;;:::999;;;;;;;;;;;;;;;;;;;;;<<<<<<<<<<<<======>>>>>>????????????>>>>>>=========>>>???@@@@@@??????AAABBB@@@@@@@@@AAABBBCCCDDDEEEEEEEEEEEEEEECCCBBB@@@???>>>>>>???@@@AAABBBCCCCCCDDDDDDDDDFFFGGGIIIKKKLLLHHHGGGFFFEEEEEEFFFGGGHHHFFFGGGGGGGGGGGGHHHHHHHHHGGGHHHHHHIIIJJJJJJKKKKKKJJJJJJJJJJJJKKKKKKKKKKKKNNNOOOQQQRRRRRRQQQOOONNNOOONNNMMMKKKJJJJJJKKKKKKKKKLLLMMMOOORRRTTTUUUVVVSSSUUUWWWYYYZZZXXXVVVUUUPPPNNNMMMLLLMMMOOORRRTTTTTTSSSRRRRRRSSSTTTUUUVVVTTTTTTTTTUUUVVVXXXZZZ[[[^^^]]]]]]^^^___```^^^]]][[[[[[[[[[[[[[[\\\\\\]]]UUUTTTQQQOOOMMMLLLLLLLLLNNNOOOOOOPPPRRRTTTUUUVVVTTTQQQMMMJJJIIIJJJLLLNNNOOORRRWWW[[[[[[YYYUUURRRTTTSSSRRRRRRSSSTTTVVVWWWVVVVVVVVVVVVVVVWWWXXXYYYXXXYYYYYYYYYZZZZZZZZZZZZYYYZZZ[[[\\\]]]]]]]]]]]][[[ZZZXXXVVVUUUVVVWWWXXXUUUWWWZZZ]]]^^^]]]\\\ZZZWWWXXXYYYZZZ\\\]]]^^^^^^___```aaa```______```bbbgggeeecccaaa``````aaabbb```___```aaadddeeedddbbb^^^]]][[[ZZZYYYZZZ[[[\\\\\\[[[ZZZYYYYYYXXXYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYXXXYYYZZZ]]]___ccceeegggaaabbbcccbbbaaaaaabbbdddcccddddddccc`````````bbb```cccggghhhfffccc```___]]]^^^^^^]]][[[ZZZ[[[]]]___bbbgggoooxxxxxxqqqiiicccaaa```]]][[[\\\\\\[[[ZZZXXXWWWVVVVVVWWWXXXXXXZZZ\\\^^^```aaa^^^^^^^^^^^^____________CCCCCCCCCCCCBBBAAA@@@@@@<<<===>>><<<;;;:::<<<=========??????@@@???>>>>>>>>>=========>>>>>>???@@@>>>>>>>>>>>>>>>======<<<:::::::::::::::::::::::::::999777555444444555666888888777777777666666666666777777888999999:::::::::;;;<<<<<<<<<<<<;;;:::::::::;;;;;;;;;;;;::::::<<<;;;:::999:::;;;===>>>>>>@@@@@@>>>;;;999999;;;<<<<<<<<<<<<<<<;;;::::::777888888888999999999999888888888999999999::::::999:::::::::::::::999999999999999:::;;;;;;<<<<<<999999888777888:::<<<>>>:::::::::999888777777777666666666666777999:::;;;===<<<:::888777777777777666666666666666666777888555555666666777888888999777888888999999888888777444555555666555444333222222333555666777888888888555666777999:::;;;;;;;;;999999888666555555555555444555666666666555333222222222333333333444444444...///000111111111000///111111222333333444444555555444444444444444444444333444555666666666666666888777777777666666666666555666666777888888777777555666888999:::;;;;;;:::;;;;;;::::::999999::::::::::::::::::::::::::::::999;;;<<<======<<<;;;999::::::::::::::::::::::::;;;<<<<<<===>>>>>>??????@@@@@@??????>>>======<<<<<<>>>???@@@??????AAABBB>>>>>>@@@AAABBBBBBCCCCCCCCCDDDDDDDDDCCCBBB@@@???>>>>>>@@@AAABBBBBBCCCCCCBBBBBBCCCDDDFFFHHHJJJKKKGGGFFFEEEDDDDDDEEEFFFGGGFFFFFFFFFGGGGGGGGGHHHHHHGGGHHHJJJLLLNNNOOOPPPQQQMMMLLLJJJIIIIIIJJJKKKKKKMMMNNNPPPQQQQQQPPPNNNMMMMMMLLLKKKKKKLLLMMMNNNOOOLLLMMMMMMNNNPPPQQQSSSSSSQQQSSSWWWYYYZZZYYYWWWVVVRRRPPPMMMJJJJJJLLLOOOQQQTTTSSSSSSRRRSSSSSSTTTUUUQQQRRRTTTUUUWWWYYYZZZ[[[[[[ZZZYYYYYYZZZ[[[ZZZXXXZZZYYYYYYXXXXXXYYYYYYZZZVVVVVVUUUSSSQQQNNNLLLKKKPPPPPPRRRSSSUUUUUUVVVVVVSSSQQQOOOLLLKKKLLLMMMOOOPPPSSSWWW[[[\\\[[[XXXVVVWWWVVVUUUTTTUUUUUUVVVWWWTTTTTTTTTTTTTTTUUUUUUUUUUUUUUUVVVXXXYYYYYYZZZZZZYYYZZZ[[[[[[[[[[[[ZZZYYYYYYXXXVVVTTTSSSTTTUUUVVVTTTVVVXXX[[[\\\\\\[[[[[[YYYYYYZZZ\\\]]]^^^___``````aaaaaaaaa___^^^___aaadddccccccbbbbbbccccccdddaaa``````aaaccccccaaa___[[[[[[[[[[[[\\\\\\\\\]]][[[ZZZYYYXXXWWWWWWWWWWWWTTTUUUUUUVVVVVVWWWWWWWWWXXXXXXXXXXXXXXXXXXXXXXXXWWWWWWWWWYYY]]]aaaeeeggg```aaabbbaaa___^^^```bbbaaacccddddddbbb`````````___bbbeeefffeeecccbbbbbb^^^___aaaaaa___]]]]]]]]]]]]___dddllluuu|||vvvoooeee```^^^^^^[[[YYY]]]]]]\\\[[[ZZZYYYXXXXXXWWWWWWXXXYYYZZZ\\\]]]^^^[[[[[[\\\^^^______``````CCCCCCCCCCCCCCCBBBAAA@@@===>>>>>><<<;;;:::;;;<<<======>>>??????>>>===<<<===============>>>??????;;;<<<<<<<<<<<<<<<;;;:::999999999999999999999999999888666444333444555666999999888888777777777666888888999999:::::::::;;;999:::;;;<<<<<<<<<;;;:::999::::::;;;;;;::::::999:::999888888:::<<>>;;;;;;<<<===<<<;;;999888555555666666777777777888777777888888888999999999777888:::;;;<<<<<<;;;:::666666777888999999:::::::::999999999999:::;;;<<<999999888888777666555555444444555666888999;;;<<>><<<999888777777888666666666666666777888999444444444555666777777888666777888999999888777666444555666666666555444333222333444666777888888888555666777888999:::::::::888777666555444444444555444555555555444333333222222222222333333444444444000111222222111000///...111111111222333333444444333333333333333333333333444444555555444444333333777777777777666666666666555555666777777888777777555666888:::;;;;;;;;;:::999999999999999999:::;;;:::;;;;;;;;;;;;;;;;;;;;;:::;;;===>>>>>>===;;;:::::::::999999999999888888;;;<<<<<<===>>>??????@@@AAA@@@@@@???>>>===<<<<<<;;;===>>>???>>>???@@@BBB<<<===???AAABBBBBBBBBAAABBBCCCCCCCCCCCCAAA@@@???>>>???@@@AAABBBCCCCCCCCCAAAAAABBBCCCEEEGGGIIIJJJGGGEEEDDDCCCCCCDDDEEEGGGFFFFFFGGGGGGGGGHHHHHHHHHBBBCCCFFFIIILLLNNNOOOPPPOOOMMMKKKIIIHHHIIIJJJKKKLLLMMMOOOPPPPPPOOOMMMLLLJJJJJJJJJKKKMMMOOORRRSSSNNNMMMMMMMMMNNNNNNOOOPPPMMMPPPSSSWWWXXXWWWVVVTTTSSSQQQMMMJJJIIIJJJMMMOOOSSSSSSSSSSSSSSSSSSTTTTTTSSSTTTVVVWWWXXXYYYYYYYYY\\\ZZZXXXXXXYYYZZZYYYXXXYYYXXXWWWVVVVVVUUUVVVVVVWWWWWWWWWUUUSSSPPPMMMKKKQQQRRRTTTUUUVVVVVVVVVUUUSSSRRRPPPNNNMMMMMMNNNOOOQQQTTTXXX\\\^^^^^^\\\[[[YYYXXXWWWVVVVVVVVVWWWXXXSSSSSSSSSSSSSSSSSSSSSSSSRRRSSSUUUWWWXXXYYYZZZZZZZZZZZZ[[[ZZZYYYXXXVVVUUUXXXVVVTTTSSSRRRSSSTTTUUUUUUVVVXXXYYYZZZ[[[ZZZZZZ[[[[[[\\\]]]___```aaabbbaaabbbbbbaaa```^^^___```aaaaaabbbdddeeeffffffgggcccbbbaaabbbbbbaaa^^^[[[ZZZZZZ\\\]]]]]]^^^]]]]]]ZZZZZZYYYWWWWWWVVVVVVVVVQQQQQQRRRSSSTTTUUUVVVVVVXXXXXXXXXXXXXXXXXXXXXXXXUUUUUUUUUWWWZZZ___dddggg___aaabbb```^^^]]]___aaa___bbbdddeeecccaaa______```bbbddddddbbbbbbbbbccc^^^```cccdddbbb`````````]]]^^^aaagggnnnrrruuuuuummmfff]]]YYYZZZ\\\[[[YYY[[[ZZZZZZZZZZZZYYYYYYYYYVVVVVVVVVWWWXXXYYYZZZ[[[XXXYYYZZZ\\\^^^_________BBBBBBCCCDDDDDDEEEDDDDDDCCC@@@<<<;;;;;;;;;;;;:::999999:::;;;<<<<<<======>>><<<:::;;;===???>>><<>>>>>===<<<;;;;;;;;;;;;;;;;;;<<<<<<<<<======<<<<<<;;;:::999777777666777777666555555555555555888888999::::::;;;<<<<<<777888:::;;;<<<;;;:::::::::999999999999:::;;;<<<<<<<<<<<<<<<<<<;;;;;;;;;;;;;;;;;;<<<<<<<<<<<<<<<<<<;;;::::::999999999999888888777666666666666666666666666777888888999999888999;;;<<<<<<;;;999888:::999888888777777888888999888777666444444333333666666555555555666777777777777777777888888888888888888888777777777777666444555777999999888666555888777666555666777999;;;999999999999999888777666555555444333333333333444555555555555555666666777444444444555666777777888999999888777666555444444555555666666555444333333555555444444444333333333333111///000222333111///000///.........000111222222222333333444333333333444444444555555555555666888777777777777666666666666666666666666555555555444555777888::::::;;;;;;888888999999999888888777777888:::<<<======<<<<<<777999::::::888888999;;;888999;;;;;;:::999:::<<<::::::::::::;;;<<<===>>>CCCDDDCCCAAA>>><<<<<<===>>>===<<<<<<===>>>???@@@<<<<<<===>>>??????@@@@@@DDDDDDDDDDDDDDDCCCCCCBBB???@@@AAACCCDDDEEEEEEEEEDDDDDDDDDDDDDDDCCCCCCCCCEEEEEEEEEEEEDDDDDDDDDDDDIIIIIIHHHHHHFFFEEEDDDCCCGGGHHHIIIKKKLLLMMMMMMMMMLLLKKKJJJIIIIIIIIIIIIIIILLLMMMNNNMMMLLLLLLNNNPPPMMMLLLKKKKKKLLLNNNPPPRRRPPPNNNLLLMMMPPPQQQPPPNNNPPPQQQTTTVVVXXXXXXXXXXXXUUUUUUSSSNNNIIIGGGHHHKKKQQQRRRRRRSSSSSSRRRRRRRRRRRRTTTWWWWWWWWWVVVVVVWWWZZZZZZZZZYYYYYYXXXWWWWWWZZZXXXUUURRRQQQRRRSSSTTTWWWVVVTTTUUUUUUSSSNNNIIIPPPRRRSSSTTTSSSSSSUUUVVVTTTSSSPPPOOONNNOOOPPPQQQRRRUUUYYY[[[[[[ZZZZZZZZZ[[[\\\\\\XXXSSSPPPPPPQQQUUUUUUTTTQQQNNNMMMNNNPPPRRRTTTWWWYYYZZZYYYWWWVVVVVVWWWYYYZZZZZZXXXVVVUUUSSSPPPMMMMMMOOOQQQSSSSSSVVVVVVVVVWWWWWWXXXXXXXXX^^^[[[XXXZZZ^^^ccceeeeee]]]\\\[[[ZZZ[[[\\\]]]^^^^^^___bbbdddfffggghhhhhhddddddddddddddddddcccccc[[[[[[ZZZ\\\^^^^^^]]]\\\]]]\\\[[[YYYXXXXXXXXXXXXSSSSSSSSSTTTTTTUUUUUUUUUXXXXXXWWWWWWWWWWWWXXXXXXUUUUUUUUUUUUXXX\\\```cccbbbccccccaaa___]]]^^^___\\\^^^bbbdddeeedddaaa```\\\[[[[[[```eeehhheeeaaa]]]]]]\\\\\\\\\\\\\\\]]]]]]]]]___aaadddiiimmmoooeeeccc___\\\YYYXXXWWWXXXVVVVVVWWWXXXYYYYYYYYYYYY[[[ZZZXXXVVVUUUVVVXXXYYYXXXYYY[[[]]]]]]]]][[[ZZZ@@@AAABBBDDDEEEFFFFFFFFFDDDAAA===;;;;;;;;;::::::888888999::::::;;;<<<<<<===;;;999:::===>>>>>><<>>>>>===<<<<<<;;;;;;:::;;;;;;;;;;;;<<<<<<<<<>>>===<<<;;;:::999888888777777666555555555555555777888888999::::::;;;;;;888999:::;;;<<<<<<;;;:::999:::::::::::::::::::::;;;;;;;;;;;;<<<<<<<<<<<<<<<<<<<<<<<<;;;;;;;;;;;;;;;;;;:::999999999999999666666555444444444444555666666666777888888999999888999;;;<<<<<<;;;999888999888888777777777777777999888777555444444333333222222222111222222333444555555555555666666666666999888888888888777777777555666777888888888777666666555444333444555777888888999999999888888777666666555444444333333444444444555666666777777666666333444444555666666777777888888777777666555555555666666666666666555444444555555444444444333333333333111000111333333222000000000///...///000111222333333444444444444333333444444444555555555555666444444444444333333333333666555555555555555555555555666777888999:::::::::888888888999999888888777888999:::;;;<<<;;;;;;:::777999::::::999999:::;;;:::;;;;;;;;;::::::<<<>>>=========>>>>>>???@@@AAADDDDDDDDDBBB???>>>===>>>>>>===<<<<<<<<<===>>>???>>>>>>???@@@AAABBBCCCDDDDDDEEEEEEEEEEEEEEEDDDDDD???@@@AAACCCDDDEEEEEEEEECCCCCCCCCCCCBBBBBBBBBBBBCCCCCCCCCCCCCCCCCCCCCCCCFFFFFFFFFFFFFFFEEEDDDDDDFFFGGGHHHJJJKKKKKKKKKLLLLLLKKKKKKJJJJJJJJJJJJJJJMMMNNNOOOMMMLLLKKKLLLNNNMMMLLLKKKKKKLLLMMMPPPQQQQQQOOOLLLMMMOOOQQQQQQPPPOOOPPPQQQSSSTTTUUUVVVVVV[[[YYYUUUNNNHHHFFFGGGJJJNNNOOOPPPRRRRRRRRRRRRRRRSSSUUUWWWXXXWWWVVVVVVWWWXXXYYYZZZ[[[ZZZYYYXXXWWWUUUTTTQQQNNNMMMNNNOOOPPPTTTTTTTTTVVVWWWUUUPPPLLLPPPRRRSSSSSSRRRRRRSSSUUUTTTSSSQQQPPPPPPQQQRRRSSSSSSUUUVVVWWWVVVVVVWWWXXXYYY[[[\\\ZZZVVVSSSRRRRRRQQQQQQQQQNNNLLLKKKMMMNNNRRRSSSUUUWWWXXXWWWVVVUUUVVVWWWXXXYYYYYYYYYXXXWWWTTTRRRNNNMMMNNNPPPQQQQQQSSSTTTTTTUUUVVVWWWWWWWWW\\\YYYWWWYYY]]]```bbbbbb]]]\\\[[[YYYYYYYYYZZZ[[[ZZZ\\\^^^aaadddeeeffffffddddddddddddccccccccccccZZZYYYYYYYYY[[[[[[YYYWWWYYYYYYXXXXXXXXXXXXXXXXXXTTTTTTTTTTTTUUUUUUVVVVVVXXXXXXWWWWWWWWWWWWXXXXXXWWWWWWVVVWWWYYY]]]aaaccccccdddeeedddbbb`````````\\\^^^aaacccdddcccaaa___]]]\\\\\\___dddeeebbb^^^]]]\\\[[[[[[[[[[[[[[[[[[[[[\\\^^^```bbbeeeggghhhdddbbb___[[[XXXWWWWWWWWWXXXXXXXXXXXXWWWWWWVVVVVVXXXWWWVVVVVVUUUVVVWWWWWWWWWXXXZZZ\\\\\\\\\[[[[[[???@@@BBBDDDFFFGGGHHHHHHDDDAAA>>><<<;;;;;;:::999777777888888999:::::::::;;;999888999;;;=========>>>>>>>>>===<<<<<<;;;;;;::::::::::::;;;;;;;;;;;;======<<<;;;:::999888888777777666555555555555555666777777888888999999999999::::::;;;;;;;;;;;;:::999:::;;;<<<<<<;;;999888:::::::::;;;;;;<<<<<<<<<<<<<<<<<<;;;;;;::::::::::::999999999999888888888777777666555555555555555555666666777777888888999999:::;;;<<<<<<;;;:::999888888777666666666666777888777666555444333333333333333333333333444555555555555555555666666666666999999999888888888888777555666666666777777777777555555444333333555666777888888888888888777777666666666555444444444444555333555666888888777666555333444444555555666666666666666666666666666666666666666777777777666555555555555444444444333333333333222111222333444333222111111000//////000222333444555555555555555444444444444444555555555555666666666666555555555444444555555555555555555555555666666777888888888888888777777888888999888888777999999::::::;;;::::::999888999::::::999999:::<<<<<<<<<;;;:::999:::===???????????????@@@AAABBBCCCDDDEEEEEEDDDAAA??????@@@???>>>===<<<<<<<<<===>>>>>>??????AAABBBCCCCCCDDDDDDEEEEEEFFFFFFFFFEEEEEEAAAAAABBBCCCDDDDDDEEEEEEBBBBBBBBBAAAAAAAAA@@@@@@AAAAAAAAABBBBBBBBBBBBBBBBBBCCCDDDDDDEEEEEEEEEEEEEEEFFFGGGHHHIIIJJJJJJJJJKKKKKKKKKJJJJJJJJJJJJJJJMMMNNNOOONNNLLLKKKLLLMMMMMMMMMKKKKKKKKKMMMOOOPPPSSSPPPMMMLLLNNNQQQRRRRRRQQQQQQQQQQQQRRRTTTVVVWWW]]]ZZZUUUOOOJJJHHHKKKMMMMMMNNNPPPRRRSSSSSSRRRRRRTTTUUUWWWWWWVVVUUUVVVVVVVVVWWWYYYZZZZZZZZZXXXWWWWWWVVVSSSQQQPPPPPPQQQRRRQQQRRRTTTWWWXXXVVVRRROOOPPPRRRSSSSSSRRRQQQRRRSSSTTTSSSRRRRRRRRRSSSTTTUUUTTTTTTTTTRRRPPPPPPRRRTTTTTTWWW[[[\\\ZZZVVVSSSRRROOOPPPOOONNNLLLLLLMMMOOORRRSSSSSSTTTUUUUUUVVVVVVVVVWWWWWWXXXXXXYYYYYYYYYWWWTTTPPPNNNNNNOOOOOOOOOQQQQQQRRRSSSTTTVVVVVVWWWYYYXXXWWWXXXZZZ]]]______]]]\\\ZZZXXXWWWWWWWWWWWWWWWXXX[[[^^^```bbbcccddddddcccccccccbbbbbbbbbbbb[[[ZZZYYYYYYZZZYYYWWWUUUVVVVVVVVVVVVWWWWWWXXXXXXVVVUUUUUUUUUUUUVVVVVVWWWXXXWWWWWWVVVVVVWWWWWWXXXYYYXXXXXXYYYZZZ]]]```bbbcccfffhhhhhhfffdddcccccc^^^```aaaccccccbbb```___^^^\\\\\\^^^bbbbbb```]]]ZZZZZZYYYXXXXXXXXXXXXXXXZZZZZZ\\\]]]^^^___``````dddbbb^^^ZZZWWWVVVVVVVVVYYYYYYXXXWWWVVVTTTTTTSSSUUUUUUVVVVVVVVVVVVVVVVVVVVVWWWXXXZZZ[[[\\\\\\\\\@@@AAACCCDDDEEEFFFFFFFFFDDDBBB???===<<<;;;:::888777777777888888888999999999888888999:::<<<======>>>>>>======<<<<<<<<<<<<999999999:::::::::;;;;;;;;;::::::999888777777777777777666555555555555555666666666777777777888888888888999999999999999999888999<<<======;;;888666888888999:::;;;<<<<<<======<<<<<<;;;:::999888888888888888888888888888777999999888777777777777888555555666666777888888888999999:::;;;;;;:::999999999888777777666666777777777666555444333333333333333333333333333444555666777777777777888888888888999999999999888888888888555444444444444555666666777666666555555666777777666777777888777777666666777666555555444444555555222444777999999888666444333333444444444555555555444444444555555666666666666777777777777777666666555555444444444333333333333333333333444444444444333222111000000111222333666666666666666555555444444444444555555555555666777777666666666555555555444444444444444555555555666777777888777777666666666777777888888888888888777777888999999:::::::::888999::::::999999:::;;;<<<;;;:::888777999<<>>>>>>>>>>>???@@@AAABBBDDDEEEFFFDDDBBBAAAAAABBB@@@???===<<<;;;<<<<<<===??????@@@@@@@@@@@@@@@@@@BBBCCCDDDEEEEEEEEEEEEEEEBBBBBBCCCCCCCCCDDDEEEEEECCCCCCCCCBBBAAAAAA@@@@@@AAAAAAAAABBBBBBCCCCCCCCC???@@@BBBCCCEEEEEEFFFFFFFFFFFFHHHIIIIIIJJJJJJJJJIIIIIIJJJJJJJJJIIIIIIIIIJJJLLLMMMMMMLLLLLLMMMNNNNNNMMMKKKJJJKKKLLLNNNOOOSSSQQQNNNLLLMMMPPPRRRTTTTTTSSSRRRQQQSSSUUUXXXZZZZZZXXXVVVSSSQQQPPPQQQRRRMMMOOOPPPRRRSSSSSSSSSRRRRRRSSSUUUUUUTTTTTTUUUVVVUUUUUUUUUVVVWWWXXXYYYYYY[[[ZZZXXXVVVUUUUUUUUUVVVRRRSSSSSSTTTTTTSSSQQQPPPPPPRRRTTTTTTSSSRRRRRRRRRTTTTTTSSSSSSTTTUUUVVVWWWSSSSSSSSSQQQNNNMMMMMMNNNNNNRRRWWW[[[[[[XXXTTTRRRPPPPPPPPPOOONNNNNNPPPRRRSSSSSSSSSRRRSSSTTTVVVWWWVVVVVVVVVVVVWWWXXXZZZ[[[ZZZWWWRRROOOOOOOOOOOONNNOOOPPPQQQSSSTTTVVVWWWWWWXXXWWWWWWXXXYYY[[[[[[\\\[[[ZZZXXXWWWVVVVVVVVVWWWWWWWWWYYY[[[]]]___``````bbbbbbbbbaaaaaa``````___\\\[[[[[[[[[\\\\\\[[[YYYVVVWWWWWWWWWWWWWWWWWWWWWWWWVVVUUUUUUUUUVVVVVVWWWWWWVVVVVVUUUUUUVVVVVVWWWXXXXXXXXXXXXZZZ\\\___```cccfffjjjkkkjjjgggffffffbbbbbbcccccccccbbb``````[[[[[[[[[]]]```aaa___]]]YYYYYYXXXWWWWWWWWWWWWWWW[[[ZZZZZZZZZ[[[]]]___```dddaaa^^^ZZZWWWUUUUUUUUUXXXWWWVVVUUUTTTTTTTTTTTTTTTUUUWWWXXXYYYXXXVVVUUUVVVWWWXXXYYY[[[\\\^^^^^^BBBCCCCCCDDDDDDDDDCCCCCCDDDAAA???>>>===<<<:::888888888888888888999999999888888999999999:::<<<===============<<<<<<<<<<<<999999999:::::::::;;;;;;;;;;;;::::::999888888888777777666555555555555555555666666666666666777777777666666666666666666666777999<<<>>>>>>;;;888666777888888999:::;;;<<<<<<<<<<<<;;;:::999888888777666666777888888777777666999888888777777777777777555555555666777777888888888999999999999999999888999999888777777777777888666555444333333222333333////////////000111222333777777777777888888888888999999999888888888777777333222222222222333444555666666555555555555555666555666666777777777666666666666555444444444444444222333666888888777555333333333333333444444444444333333333444555555666666666666777777777777777666555555444444444333333333333444444444444555555666444333222111111222333444666777777777666666555444444444444555555555555666333333222222222111111111222333333333444444444555666666777777777666555555555666777888888888888888555555666777888999:::;;;777888:::999888888999;;;::::::999777666777;;;>>>>>>>>>>>>>>>???@@@AAABBBCCCDDDEEEDDDBBBAAAAAACCC@@@???>>>===<<<<<<===>>>CCCCCCBBBAAA@@@???>>>===@@@AAABBBCCCDDDDDDDDDDDDDDDDDDCCCCCCCCCDDDDDDEEEFFFEEEEEEDDDCCCBBBBBBBBBAAABBBBBBCCCDDDEEEEEEFFF???@@@BBBCCCEEEFFFGGGGGGGGGHHHIIIJJJJJJJJJJJJJJJGGGHHHHHHIIIIIIIIIHHHGGGFFFHHHKKKMMMMMMNNNOOOQQQOOOMMMLLLJJJJJJKKKMMMNNNRRRQQQNNNLLLLLLNNNRRRTTTUUUSSSRRRQQQRRRTTTWWWZZZXXXXXXYYYYYYYYYWWWTTTRRRMMMNNNOOOPPPQQQQQQRRRRRRRRRTTTTTTTTTSSSRRRTTTUUUVVVTTTRRRQQQRRRUUUYYY[[[[[[ZZZXXXWWWVVVUUUUUUVVVVVVTTTRRRPPPNNNNNNNNNOOOPPPRRRTTTUUUTTTSSSRRRSSSSSSSSSTTTTTTTTTUUUVVVVVVPPPRRRTTTSSSPPPMMMKKKKKKIIIMMMRRRXXXZZZXXXUUURRRPPPPPPPPPOOONNNOOOQQQSSSUUUTTTSSSRRRSSSUUUWWWXXXUUUUUUUUUUUUVVVWWWYYYZZZ[[[XXXSSSPPPOOOOOOOOONNNOOOPPPQQQSSSTTTVVVWWWWWWVVVWWWXXXYYYYYYYYYYYYYYYWWWWWWVVVUUUUUUVVVWWWXXXXXXXXXYYYZZZ[[[\\\]]]^^^`````````___^^^]]]]]]]]]ZZZYYYZZZ[[[]]]^^^^^^\\\YYYZZZZZZZZZYYYXXXVVVVVVWWWVVVTTTSSSSSSTTTUUUVVVUUUUUUTTTTTTTTTTTTUUUUUUVVVVVVVVVWWWXXXZZZ\\\]]]cccfffjjjkkkkkkiiihhhhhheeeeeeddddddcccbbbaaa```XXXXXXYYY\\\^^^`````````]]]\\\\\\\\\[[[\\\\\\]]]___]]]ZZZYYYZZZ]]]aaaddddddbbb^^^ZZZWWWUUUTTTTTTUUUTTTTTTTTTTTTUUUVVVWWWVVVXXXZZZ[[[[[[ZZZXXXWWWXXXXXXXXXYYYZZZ\\\___```BBBCCCCCCCCCCCCBBBAAAAAABBBAAA???>>>>>>===;;;:::999:::::::::::::::::::::999:::;;;:::999999;;;<<<==================<<<<<<::::::::::::;;;;;;;;;;;;>>>=========<<<<<<<<<;;;777777666555555555555555666666666666666666666666666555444444333444444444666888;;;===>>><<<999888888888888999999::::::::::::::::::999999888888888444555666777777777666555666666555444444444444444444555555666666777777888777777777777777777777777888888777666666666777777555444333222222222222222000000000111222333444555555555555555666666666666888888888777777777777666111222222222333333333333333333333333333222222222444555555666666666666666555555444333333333333444111333444666666555444333333333333333333333333333333333333444444555555555555555666777777777666666555555444444444333333333333444666666555555666888666555333222222333444444777777777777666555444333444444444555555555555666333333333333222222222222111222222333333444444444555666666666666666555444555555666777888888888888555555555555777888999:::666777888888777777888:::888999888777666777:::<<>>>>>>>>???@@@GGGFFFEEEDDDBBBAAA@@@???>>>???AAABBBCCCDDDDDDEEEFFFEEEDDDCCCCCCCCCDDDEEEHHHGGGGGGFFFEEEDDDCCCCCCBBBBBBCCCDDDEEEGGGGGGHHHBBBCCCDDDEEEFFFGGGGGGGGGHHHHHHIIIJJJJJJJJJJJJJJJFFFGGGIIIJJJJJJIIIHHHHHHCCCFFFJJJMMMNNNOOOQQQRRROOONNNLLLJJJJJJJJJLLLLLLPPPPPPOOOMMMLLLMMMPPPSSSSSSQQQPPPOOOPPPRRRUUUWWWYYYZZZ[[[]]]\\\XXXRRRMMMLLLLLLLLLMMMOOORRRUUUWWWZZZZZZZZZWWWTTTSSSSSSTTTWWWTTTQQQPPPQQQTTTXXX[[[]]]]]][[[ZZZYYYXXXXXXXXXVVVVVVSSSOOOKKKJJJLLLMMMMMMPPPSSSTTTTTTSSSSSSSSSSSSSSSSSSSSSTTTTTTTTTTTTNNNQQQSSSTTTQQQNNNLLLKKKIIIJJJNNNTTTXXXXXXVVVSSSOOOOOOOOONNNMMMMMMPPPRRRTTTSSSSSSSSSSSSUUUVVVWWWSSSTTTTTTUUUUUUVVVVVVVVVYYYUUUQQQNNNNNNNNNNNNNNNPPPPPPQQQRRRTTTUUUVVVVVVTTTWWWYYYYYYXXXVVVVVVVVVTTTTTTSSSRRRSSSTTTUUUVVVWWWWWWWWWXXXYYY[[[\\\]]]^^^^^^]]]\\\[[[ZZZZZZYYYVVVVVVVVVXXX[[[\\\\\\[[[[[[\\\\\\\\\[[[YYYWWWVVVUUUTTTRRRQQQQQQQQQSSSTTTSSSRRRRRRRRRRRRRRRRRRSSSRRRSSSTTTUUUWWWYYY[[[\\\aaadddgggiiiiiihhhiiiiiigggfffeeecccaaa`````````WWWXXXYYY[[[]]]___aaabbbbbbbbbaaabbbbbbcccdddeeecccaaa^^^\\\]]]```dddfffeeeccc___[[[WWWUUUTTTTTTSSSSSSSSSSSSTTTWWWYYYZZZZZZ[[[\\\]]]]]][[[YYYXXXYYYXXXWWWWWWXXX[[[^^^___@@@@@@AAAAAABBBAAAAAAAAAAAA???>>>>>>??????===;;;<<<<<<<<<<<<<<<;;;;;;;;;:::<<<===;;;999888:::<<<<<<=====================:::;;;;;;;;;;;;<<<<<<<<<>>>>>>>>>>>>>>>=========777777666555555555555555666666666666666666666666666666444333333333444444555777:::<<<===<<<;;;:::888888888888999999999999999999999999888888888888222444555777777666555444555444444333333333333333444444555555666777777777666666555555555555666666666666555444444444444555444333333222222222222222222333333333444666777888555555555555666666666666777777777666666666555555111222444555555444444333333333333333333222111111333444555555666666666555444444333222222222222333111222333333444444333333333333222222222222222222333333333333333444444444444444555666666666666666555555444444444333333333333555777777555555777:::777666444333333333444555666666666666555444333333444444444555555555555666555555555555444444444333111111111222333333444444444444555666666666555555444555666777888888888888888777666555555555666777444666777777666666777888888999999999888888:::<<<=========>>>>>>???@@@AAA>>>???@@@@@@???>>>???AAAAAA@@@?????????@@@AAABBBEEEEEEEEEDDDCCCBBBBBBBBB>>>???AAACCCDDDEEEFFFFFFGGGFFFDDDCCCBBBCCCDDDEEEHHHHHHGGGFFFEEEDDDCCCCCCAAABBBCCCDDDFFFGGGHHHIIIEEEFFFGGGGGGHHHHHHGGGGGGGGGGGGHHHIIIIIIIIIIIIHHHGGGHHHJJJLLLLLLKKKJJJIIICCCFFFJJJMMMNNNOOOPPPQQQPPPNNNLLLJJJIIIJJJKKKLLLMMMNNNOOOMMMLLLLLLOOORRRRRRQQQPPPOOOPPPRRRTTTUUUXXXXXXXXXZZZ[[[XXXRRRMMMMMMMMMMMMOOOSSSYYY___ccchhhgggddd^^^YYYUUUTTTTTTVVVUUUTTTTTTTTTVVVWWWYYY^^^]]]\\\[[[ZZZYYYYYYXXXSSSUUUUUURRRNNNKKKKKKLLLIIILLLPPPRRRRRRRRRQQQRRRRRRRRRRRRRRRRRRRRRQQQQQQNNNOOOQQQQQQOOONNNNNNNNNKKKKKKLLLQQQVVVXXXXXXVVVQQQQQQQQQOOONNNNNNPPPRRRRRRRRRRRRRRRSSSTTTUUUUUURRRSSSTTTUUUUUUTTTSSSRRRTTTQQQMMMKKKKKKMMMMMMMMMOOOPPPPPPQQQRRRSSSSSSSSSRRRUUUXXXXXXUUUSSSRRRRRRRRRRRRPPPOOOOOOPPPQQQQQQSSSTTTTTTUUUXXXZZZ]]]^^^\\\\\\[[[ZZZYYYXXXWWWVVVUUUTTTUUUVVVYYYZZZYYYWWWYYYZZZ[[[\\\\\\ZZZXXXWWWTTTRRRPPPNNNNNNOOOQQQRRRQQQPPPPPPPPPPPPPPPPPPQQQPPPQQQRRRUUUWWWYYY[[[\\\___bbbdddfffffffffhhhiiihhhfffccc```___^^^^^^^^^YYYZZZ[[[\\\]]]^^^```bbbbbbbbbcccdddeeeggghhhiiieeedddcccbbbbbbbbbccccccfffddd```[[[XXXVVVUUUUUUTTTSSSSSSSSSUUUWWWZZZ[[[]]]]]]]]]]]]\\\[[[YYYXXXYYYWWWUUUTTTUUUXXX[[[]]]===>>>???@@@AAABBBBBBBBB@@@???>>>???@@@???>>><<<========================<<<===>>><<<999888999<<<<<<<<<<<<===============;;;;;;;;;<<<<<<<<<==================<<<<<<<<<<<<777777666555555555555555777777777777777666666666777666555444333444444555555666999;;;======<<<<<<999999999888888888888888888888888888888999999999222333555777777666555444666666555444444444444555444444555555666777777777555555444444444444555555444444333222222222222333333333222222111222222222000000000111222333555666777777777777888888888888666666666666555555555555222333555777777666555444555555555555555444333222333444444555666666666555444333222222111111222222111111111222222222333333333222222222222222222222333333333333333333333333333333444555666666555555555555444444444333333333333555777777666666888:::777666555444333444444555666666666666555444333222444444444555555555666666222222222111111111000000000000111222333333444444333444444555666666555555444555666777888888888888:::999777555444333333444444555666666555555666777888999;;;;;;:::999:::<<<::::::::::::;;;<<<===>>>===>>>??????>>>===???@@@AAAAAA@@@@@@@@@AAACCCDDDAAAAAAAAABBBBBBBBBBBBBBB???@@@BBBDDDEEEFFFGGGGGGHHHGGGEEECCCBBBCCCDDDEEEHHHHHHGGGFFFEEEDDDCCCCCC@@@AAABBBDDDEEEGGGHHHIIIHHHIIIIIIIIIIIIHHHGGGGGGFFFFFFGGGHHHHHHHHHGGGGGGHHHJJJLLLMMMNNNMMMLLLKKKDDDGGGKKKMMMNNNNNNNNNOOOPPPNNNLLLJJJIIIIIIJJJKKKKKKMMMOOONNNLLLKKKNNNPPPSSSSSSRRRRRRSSSTTTUUUVVVTTTSSSTTTVVVXXXXXXUUUQQQPPPPPPPPPSSSYYYbbbjjjooosssqqqlllddd\\\WWWTTTTTTUUUVVVWWWXXXYYYXXXWWWVVVXXXXXXWWWVVVUUUTTTSSSSSSPPPTTTWWWVVVRRRNNNKKKKKKFFFJJJNNNQQQQQQPPPPPPQQQQQQQQQRRRRRRQQQPPPOOONNNNNNOOOOOONNNMMMMMMOOOQQQMMMLLLLLLOOOUUUYYYZZZYYYTTTTTTTTTRRRQQQPPPRRRTTTPPPPPPQQQQQQRRRSSSSSSSSSQQQRRRTTTUUUTTTSSSQQQPPPPPPMMMJJJHHHIIIKKKLLLLLLOOOOOOOOOPPPPPPQQQQQQQQQPPPSSSWWWWWWTTTPPPOOOPPPRRRQQQOOOMMMLLLLLLMMMMMMOOOPPPQQQSSSVVVZZZ^^^```[[[ZZZYYYXXXWWWVVVUUUUUUWWWVVVVVVWWWXXXYYYWWWVVVWWWXXXZZZ[[[\\\[[[YYYXXXSSSQQQNNNLLLLLLMMMOOOPPPPPPOOOOOONNNNNNOOOOOOPPPOOOPPPRRRUUUWWWZZZ[[[\\\^^^```bbbcccdddeeegggiiigggeeebbb___\\\\\\\\\\\\[[[\\\]]]]]]\\\]]]___```___``````bbbdddfffgggiiifffgggggggggfffccc```___gggeeeaaa\\\YYYVVVUUUUUUUUUTTTTTTTTTUUUWWWZZZ[[[^^^^^^^^^]]][[[ZZZXXXWWWXXXVVVTTTRRRSSSUUUXXX[[[<<<<<<<<<======???@@@@@@>>>>>>======<<<<<<<<<;;;========================<<<;;;;;;::::::;;;;;;;;;=========<<<;;;;;;::::::::::::999999:::;;;===>>>>>>>>>>>>>>>>>>===<<<<<<<<<:::999999:::;;;:::999:::999777666666666777888666666555555555555666666888888888999999:::::::::666666666666666777777777777777777777777777777777444444444555555555555666666555444222111111222222555555555555555555444444333333333444444444555555444444444555555666666666111222333444333222111000//////000111222333333444444444444555666777777888777555333444777888666444333444555666666555444333222333444444555444444444444444444444444555666777666555444444222222111000222333333333333222111111333333333222222222222111222333333333333333333444777666555444444444444444666666555555555444444444555555444333333555666777000000000222333555777888888888666555444333333333333333444444444444555555555444333222111111111111...///111333444444444333111222444666777777555555555555666777777777777666:::999888666555333222111333333444444555555666666777777888999::::::::::::888999:::<<<======>>>>>><<<<<<;;;;;;;;;===>>>???===???AAAAAA???===<<<===@@@@@@@@@BBBEEEDDD@@@<<<<<<===???AAADDDFFFHHHIIIEEEDDDCCCBBBAAABBBCCCCCCGGGGGGGGGGGGFFFDDDCCCCCCBBBBBBBBBBBBCCCEEEFFFFFFHHHIIIJJJJJJIIIHHHFFFEEEFFFFFFFFFGGGGGGHHHHHHHHHHHHIIIJJJKKKLLLLLLLLLLLLHHHHHHHHHHHHIIIKKKLLLNNNKKKLLLMMMMMMLLLKKKLLLNNNQQQPPPPPPOOOOOONNNNNNNNNPPPRRRTTTVVVWWWXXXWWWWWWYYYXXXWWWVVVUUUVVVWWWXXXSSSSSSTTTWWW]]]dddkkkpppuuutttrrrnnnggg^^^VVVQQQWWWZZZ[[[ZZZWWWUUUVVVXXXZZZ[[[[[[XXXTTTQQQOOONNNQQQSSSVVVUUURRRMMMJJJHHHLLLMMMMMMMMMKKKKKKMMMOOOQQQOOOOOOPPPRRRSSSRRRQQQOOOOOONNNNNNNNNOOOOOOPPPVVVSSSQQQRRRVVVVVVRRRNNNVVVUUURRROOONNNNNNOOOOOOPPPOOOOOOOOOPPPPPPQQQRRRRRRSSSSSSSSSRRRPPPNNNMMMNNNKKKHHHGGGIIIKKKMMMMMMOOOQQQRRRRRRQQQPPPPPPQQQQQQQQQRRRRRRQQQOOOMMMLLLNNNNNNMMMMMMLLLLLLKKKKKKMMMMMMNNNRRRWWW[[[^^^___]]]\\\ZZZXXXVVVUUUTTTTTTUUUVVVXXXYYYYYYWWWUUUTTTWWWZZZ\\\\\\[[[YYYXXXXXXPPPPPPOOOOOONNNOOOOOOPPPNNNNNNOOOPPPQQQRRRSSSSSSVVVUUUUUUUUUVVVXXXYYYZZZ[[[]]]```aaa``````aaacccfffgggfffaaa\\\ZZZ\\\^^^````````````^^^\\\ZZZYYY^^^```bbbbbbcccdddgggjjjggghhhiiiiiihhhfffdddbbbgggddd```[[[XXXWWWWWWWWWQQQQQQPPPQQQSSSVVVZZZ\\\___^^^]]]]]]^^^\\\YYYWWWWWWVVVVVVUUUVVVWWWXXXYYY>>>======<<<<<<<<<<<<===<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<============<<<;;;;;;;;;;;;;;;=========<<<;;;;;;:::::::::999999999999;;;<<<======>>>>>>>>>>>>===<<<<<<<<<:::888888:::;;;:::999999888777666666777888888666666555555555555666666888888888999999999::::::888888888888888888777777777777777777777777777777555555666666666777777777777666555333222222333333555555555555555555555444333333333333444444444444222222333333444444444444222222333333222111000/////////000111222333444444444444555555666777777888666555333444666777666444444444555666666555444444444444555666666666666555555555555444555555666666444444444333333222222111111111222222111111000///111111111111111000000000111111111222222222222222555555555444444333333333555555444444444444333333444444444444444555555666333333333333444555666666666555444333222111111111000000000111111111222222333333222000000/////////000111222333444555555555444555666888888777666555666777777888999999999999:::999888777555444333222555555555555555666666666777777888999::::::::::::::::::;;;<<<===============<<<<<<<<<<<<>>>???@@@===>>>@@@@@@???======>>>AAAAAAAAACCCEEEEEEAAA>>>@@@@@@AAABBBCCCEEEEEEFFFDDDCCCBBBAAAAAAAAABBBBBBEEEEEEEEEEEEEEEDDDCCCBBB@@@@@@AAABBBDDDGGGHHHJJJIIIIIIHHHHHHGGGFFFFFFEEEFFFFFFFFFGGGGGGHHHHHHHHHIIIJJJKKKKKKLLLLLLKKKKKKHHHGGGGGGGGGHHHJJJLLLMMMKKKLLLMMMMMMKKKJJJKKKLLLOOOOOOOOONNNNNNNNNMMMMMMOOOQQQSSSUUUVVVWWWWWWWWWTTTSSSSSSRRRSSSTTTVVVWWWUUUUUUVVVYYY^^^dddiiilllooooooooolllggg```XXXTTTSSSUUUVVVUUUSSSRRRSSSUUUWWWXXXYYYWWWSSSOOOMMMLLLMMMOOOQQQQQQOOOLLLJJJJJJKKKLLLLLLLLLJJJJJJLLLMMMNNNOOOOOOPPPPPPOOOPPPPPPNNNNNNNNNNNNOOOPPPQQQRRRVVVSSSQQQRRRUUUWWWTTTQQQTTTSSSQQQOOONNNNNNOOOPPPNNNNNNNNNNNNOOOPPPPPPQQQRRRRRRSSSRRRQQQPPPNNNMMMMMMJJJGGGGGGHHHKKKLLLLLLOOOQQQRRRSSSRRRRRRRRRTTTTTTTTTTTTSSSQQQOOOMMMLLLMMMMMMMMMLLLLLLKKKKKKKKKKKKKKKLLLOOOTTTWWWXXXWWWZZZZZZXXXWWWVVVUUUUUUUUUWWWYYYZZZ[[[[[[ZZZYYYXXXYYY[[[]]]]]][[[XXXWWWWWWOOOOOOOOONNNNNNNNNOOOOOONNNOOOOOOQQQRRRSSSTTTTTTXXXWWWVVVUUUVVVWWWYYYZZZ[[[]]]_________```bbbdddeeeggggggddd___[[[\\\]]]`````````___^^^\\\YYYXXX[[[]]]___``````bbbeeegggggghhhiiiiiiiiigggeeecccbbb___[[[WWWUUUTTTUUUUUUPPPOOOOOOPPPSSSWWW[[[^^^^^^]]]]]]]]]^^^]]]ZZZXXXXXXWWWVVVVVVVVVWWWXXXYYY???>>>===;;;:::999999888:::;;;;;;<<<======>>>>>>::::::;;;;;;<<<<<<<<<===>>>===<<<<<<;;;;;;;;;;;;======<<<<<<;;;:::::::::999999999999999;;;<<<<<<===============<<<;;;;;;;;;999888888999::::::999888888777666666777888999666666555555555555666666777777888888888888999999:::::::::999999888888888666666666666666666666666444444444555555555666666777666555444333333444444444444555555555555555444222222222333333333444444111111222222222222333333333333333333222111////////////000111222333444444444444555555666777777777555444333333555555444333444555666777777666555444555555666777777777777777666666555555444555555555333333333333333333333333000000111111000000///...//////000000//////......000000000000111111222222333444555555555444333222444333333333333222222222333333444444555555444444666666555444444444555555666555444222111111111111//////000000000111111111222111000///............222222222333444555666777666777888999999888777777777777888::::::;;;;;;;;;:::999888777666555444333777777666666666666666555777888999::::::;;;::::::;;;<<<<<<<<<===<<<<<<;;;======<<<===>>>???@@@AAA<<<===??????>>>===>>>???BBBBBBCCCEEEFFFFFFCCCAAACCCCCCCCCCCCCCCCCCCCCBBBCCCBBBAAA@@@???@@@AAAAAABBBBBBCCCCCCCCCBBBBBBAAA===>>>@@@BBBEEEIIIKKKMMMIIIHHHFFFEEEDDDDDDEEEEEEFFFFFFFFFGGGGGGGGGGGGGGGJJJJJJKKKKKKKKKJJJIIIHHHFFFFFFEEEFFFGGGHHHJJJKKKKKKLLLMMMLLLJJJIIIJJJKKKMMMMMMMMMMMMMMMMMMMMMLLLNNNOOOQQQSSSUUUVVVWWWWWWPPPOOOOOOOOOPPPRRRTTTUUUVVVWWWYYY\\\___cccfffhhhgggiiijjjjjjgggaaa[[[VVVPPPQQQQQQQQQPPPPPPQQQSSSRRRTTTVVVUUUQQQMMMJJJIIIIIIKKKLLLLLLKKKJJJJJJKKKJJJKKKKKKJJJIIIIIIJJJLLLKKKNNNQQQPPPMMMKKKLLLNNNMMMMMMNNNOOOPPPRRRSSSTTTVVVSSSPPPQQQTTTWWWWWWUUUSSSRRRPPPNNNMMMMMMNNNNNNLLLLLLLLLLLLMMMNNNOOOPPPQQQQQQQQQQQQPPPNNNMMMLLLKKKIIIGGGFFFHHHJJJKKKKKKLLLNNNPPPPPPPPPPPPRRRTTTVVVVVVUUUTTTRRRPPPMMMLLLLLLLLLKKKKKKKKKKKKKKKKKKJJJKKKLLLPPPSSSUUUUUUTTTWWWWWWVVVVVVUUUVVVVVVVVVYYYZZZ\\\]]]^^^^^^]]]\\\ZZZ\\\^^^]]]ZZZWWWVVVUUUNNNNNNNNNNNNNNNNNNNNNNNNOOOPPPQQQRRRTTTUUUVVVWWW[[[ZZZXXXVVVVVVWWWXXXYYYZZZ[[[\\\]]]]]]^^^bbbddddddggghhhfff```\\\[[[\\\``````______]]]ZZZXXXVVVVVVXXX[[[\\\]]]___aaacccggghhhiiiiiihhhgggeeeddd^^^\\\XXXUUUTTTTTTUUUVVVPPPOOOOOOQQQSSSXXX\\\___^^^]]]\\\]]]^^^]]][[[ZZZYYYXXXWWWWWWVVVWWWWWWXXX>>>===;;;:::888777777777888999:::;;;===>>>??????999999::::::;;;<<<<<<<<<;;;::::::::::::;;;<<<<<<======<<<;;;;;;::::::999999999999:::;;;;;;<<<===<<<<<<<<<<<<<<<;;;:::::::::888777777999::::::999888777666666666777999999666666555555555555666666777777777777777777777777;;;::::::999888777777666555555555555555555555555111111222222222333333333555555444444333333333333333444555666666666555444222222222333333333333444222222222222222222222222555444444333222111000000///000000111222333444555555555555555666666777777444444333333333333333222444555666666666666555444444555666666777777666666555555444333222222333333111111222222333333333333000000111111000000///...//////000000000///...---///000000111111222222222333444555777777555333222222222222222111111111111111222333555555444333333666555555444444444444444777666555444333333333333222222222222333333333333111111000///////////////222111111111222444666777444555777888999999999888666777888999:::;;;;;;;;;999999888777666666555555888888777777666666555555666777888999::::::::::::<<<<<<<<<<<<<<<;;;::::::<<<======>>>???@@@AAAAAA;;;===>>>>>>>>>===>>>@@@CCCCCCEEEFFFGGGFFFEEECCCDDDDDDCCCCCCCCCBBBBBBBBBBBBAAA???>>>>>>>>>???@@@??????@@@AAAAAAAAA@@@@@@>>>???@@@CCCFFFIIILLLMMMIIIGGGEEECCCBBBCCCDDDFFFFFFFFFFFFFFFFFFGGGGGGGGGHHHIIIJJJJJJIIIHHHFFFDDDDDDDDDDDDDDDEEEFFFHHHIIIJJJKKKLLLKKKIIIGGGHHHIIIKKKKKKLLLLLLLLLLLLLLLLLLLLLMMMOOOQQQSSSUUUVVVVVVPPPPPPOOOOOOOOOQQQRRRSSSUUUVVVYYY\\\```bbbdddeeebbbdddfffgggddd```ZZZWWWOOOOOONNNNNNNNNOOOQQQRRROOORRRTTTSSSPPPLLLIIIHHHHHHIIIJJJIIIHHHHHHJJJKKKJJJJJJKKKJJJHHHHHHIIIJJJJJJNNNSSSRRRMMMJJJKKKMMMLLLLLLMMMNNNPPPRRRTTTUUUTTTQQQOOOPPPSSSVVVXXXXXXSSSRRRPPPNNNLLLKKKKKKKKKJJJJJJJJJKKKLLLMMMOOOPPPOOOOOOOOONNNMMMLLLKKKJJJJJJHHHFFFFFFHHHJJJKKKKKKKKKLLLMMMMMMLLLLLLNNNOOOSSSSSSSSSSSSRRRPPPNNNLLLJJJJJJJJJJJJKKKKKKKKKKKKJJJKKKNNNSSSXXXZZZZZZYYYVVVVVVUUUUUUTTTUUUUUUVVVXXXYYY[[[\\\]]]]]]]]]]]]ZZZ\\\]]]\\\YYYUUUSSSSSSMMMMMMNNNNNNOOOOOONNNNNNRRRRRRSSSUUUWWWXXXYYYZZZ^^^\\\ZZZWWWVVVVVVWWWXXXWWWXXXYYYYYYYYY\\\```cccdddfffgggddd___[[[[[[\\\^^^^^^^^^]]][[[YYYWWWUUUTTTVVVYYYZZZ[[[\\\___```eeeeeefffffffffeeedddddd]]]\\\YYYWWWVVVWWWXXXZZZTTTTTTSSSSSSUUUYYY]]]___^^^]]]\\\\\\^^^^^^]]][[[YYYYYYXXXWWWWWWVVVVVVVVV::::::999888888888888888777888999;;;<<<>>>???@@@:::::::::;;;;;;;;;<<<<<<666666777888999;;;<<<===<<<<<<<<<;;;::::::999999999:::;;;;;;<<<<<<======;;;;;;;;;;;;;;;:::999999888777666666888999999999888888777666666777888999666666555555555555666666666666666666666666666666999888888777666555555444444444444444444444444444111111111222222222222333333333333333222222222111222333555666777666555444222222333333333444444444444444444444444444333333666555555444333222222222000000111222333444444555555555555555666666666666333444444333222222222222333444555666666555444333222333444444555555444444333222111000000000000000000111111222222333333444111111222222111111000//////000111222111000///...000000111111222333333444333444666777777666555333222222111111111000000000000111333444444444333222333333333222333333444555666555444333333333333333333333333444444444444555222222111111000000111111000000//////000222444555111222444555777888999:::555666777888999999999999888777777777666666555555888888777777666666555555555666777888999999999999;;;<<<<<<;;;;;;:::999888;;;<<<===>>>???@@@AAAAAA;;;===>>>=========>>>@@@BBBCCCEEEFFFFFFEEEEEEEEECCCCCCCCCCCCCCCCCCCCCCCCAAA@@@???>>>===>>>??????===>>>>>>?????????>>>>>>@@@@@@AAACCCEEEGGGIIIKKKIIIGGGDDDAAAAAABBBDDDEEEFFFFFFFFFFFFFFFFFFFFFFFFFFFGGGHHHIIIHHHEEECCCAAABBBBBBAAABBBCCCDDDFFFGGGHHHIIIJJJIIIGGGFFFGGGHHHJJJJJJJJJKKKKKKLLLLLLLLLLLLLLLMMMOOOQQQRRRTTTUUUTTTSSSQQQPPPOOOPPPPPPQQQPPPRRRVVVZZZ^^^aaacccdddaaabbbccccccaaa\\\XXXUUUMMMLLLKKKKKKLLLMMMOOOOOONNNPPPRRRQQQOOOKKKIIIHHHJJJKKKKKKIIIHHHHHHJJJLLLJJJKKKKKKJJJHHHHHHIIIJJJJJJOOOTTTTTTOOOKKKKKKMMMKKKKKKLLLMMMOOOQQQRRRSSSPPPOOONNNNNNQQQTTTWWWXXXUUUTTTRRROOOLLLJJJHHHGGGHHHHHHHHHIIIKKKMMMNNNOOONNNNNNMMMKKKJJJJJJIIIIIIJJJIIIGGGHHHJJJLLLLLLLLLMMMMMMMMMLLLJJJIIIKKKLLLNNNNNNOOOPPPPPPOOONNNMMMIIIIIIJJJJJJKKKKKKLLLLLLHHHJJJNNNTTT[[[_________WWWVVVUUUTTTTTTTTTTTTTTTUUUVVVWWWXXXYYYYYYZZZZZZYYY[[[\\\[[[WWWTTTRRRQQQMMMNNNOOOPPPQQQPPPPPPPPPUUUUUUVVVXXXYYYZZZ\\\\\\^^^]]][[[YYYWWWVVVUUUUUUSSSTTTUUUUUUVVVYYY]]]aaadddeeeddd```[[[XXXYYY\\\\\\\\\\\\\\\ZZZXXXVVVUUUTTTVVVYYY[[[[[[\\\]]]^^^aaaaaaaaabbbbbbbbbbbbbbb]]]\\\YYYXXXWWWYYY[[[\\\[[[ZZZXXXWWWXXXZZZ]]]______]]]\\\\\\]]]^^^]]]\\\ZZZYYYYYYXXXVVVUUUTTTSSS888888888777888888999999777777999:::<<<>>>???@@@;;;;;;;;;;;;;;;;;;;;;;;;555555555777888:::<<<===<<<<<<;;;;;;:::999999999888999:::;;;<<<<<<<<<<<<:::::::::::::::999888888777666555666888999999888:::999777666666666777888666666555555555555666666666666555555555555444444666666666555555444444333333333333333333333333333333333333444444444555555111111222222222222111111111333555777777666555444333333333444444444555555666666555555555555444444555555444333333333333444000000111222333444555555555555666666666666666666333555555444222111111222222333444555555444333222111111222333333333333222000000//////.../////////000111111111222222333333111111222222111111000///000111222333333111///...///000000111222333444444333444555666666666555444222111111111111000000000111111222222333333333222333333222222222333444444333333222111111111111111111111222222222333333333333333222222222222222333////////////000222333444000111222444555777888999555555666777777777777666666666666666555555555555777777666666666666666555444555666777777888888777::::::::::::999999888777:::;;;<<<>>>???@@@@@@@@@<<<===>>>===<<<<<<>>>???@@@BBBDDDDDDDDDCCCDDDFFFBBBBBBBBBCCCCCCCCCCCCDDDAAA@@@???>>>===>>>??????======>>>>>>>>>======<<<@@@AAAAAABBBDDDEEEGGGHHHHHHGGGDDDBBBAAABBBDDDEEEFFFFFFFFFFFFFFFEEEEEEEEEDDDFFFGGGHHHGGGEEEBBB@@@@@@@@@@@@@@@AAABBBDDDEEEFFFGGGHHHHHHFFFFFFGGGHHHIIIIIIJJJKKKKKKLLLMMMMMMLLLLLLLLLMMMNNNPPPQQQRRRTTTSSSQQQPPPOOONNNOOOOOOLLLOOORRRWWW[[[___aaacccaaaaaa```___\\\YYYUUUSSSLLLJJJGGGGGGHHHJJJKKKKKKMMMNNNOOONNNLLLIIIHHHIIIJJJKKKLLLKKKIIIIIIKKKMMMLLLMMMMMMLLLJJJIIIJJJKKKJJJOOOTTTUUURRROOOMMMMMMKKKKKKKKKKKKLLLMMMNNNOOOLLLLLLLLLMMMOOOQQQSSSUUUUUUTTTRRRPPPMMMJJJHHHFFFFFFGGGGGGIIIKKKMMMOOOPPPOOONNNLLLKKKJJJIIIIIIIIIKKKJJJIIIJJJMMMOOOOOONNNPPPPPPOOOMMMKKKJJJKKKMMMJJJKKKMMMNNNOOONNNNNNMMMIIIIIIJJJKKKLLLLLLMMMMMMGGGHHHLLLRRRXXX\\\]]]]]]WWWWWWVVVUUUTTTTTTTTTTTTTTTTTTTTTUUUUUUVVVVVVWWWXXXZZZ[[[ZZZWWWTTTRRRQQQOOOPPPRRRSSSTTTSSSSSSRRRVVVWWWXXXXXXYYYZZZ[[[[[[\\\\\\[[[ZZZXXXVVVSSSRRRPPPQQQSSSTTTUUUXXX\\\___bbbcccccc```[[[XXXXXXZZZYYYYYYZZZZZZYYYXXXVVVUUUUUUWWWZZZ[[[[[[[[[[[[\\\]]]]]]]]]^^^^^^______```\\\ZZZXXXWWWWWWXXXZZZ\\\```^^^\\\ZZZZZZ[[[]]]___```___]]]\\\]]]^^^]]]\\\YYYYYYXXXWWWUUUSSSQQQPPP999888888888888888999999777888999:::<<<===>>>???>>>======<<<<<<;;;;;;;;;777777777777888999:::;;;<<<<<<;;;::::::999999888666777999:::;;;;;;::::::999999999999999888888777777555444555777999999888;;;:::888777666555666666666666555555555555666666555555555555444444333333555555555444444444444444333333333333333333333333444444444444555555555555111111222333333333222111000222555777888777555444444444555555555666666666666666666555555555444444222222111111111222333444000111111222333444555555666666666666666666666555444666666555222111222333111111333333333333111111000111222222333333222222//////.........///000000111111111111111222222222000000111111000000///...///111222444333222///.........///000111222333333222222222333333444444444222222222111111111000000111111111111111222333333666555444333333222333333333222111111000111111111000111111111222222222222333333222222222222333333...///000111222333333333333333333333444555666666666666777777777666555555444444444444555555555555555555555555555666666666222333444555666666666666777888888888888777777666888:::<<<>>>???@@@@@@@@@===>>>>>><<<;;;;;;===>>>>>>AAACCCCCCAAAAAACCCEEECCCCCCCCCCCCCCCCCCCCCCCCAAA@@@???>>>>>>>>>???@@@>>>>>>>>>>>>===<<<;;;;;;??????@@@AAACCCEEEFFFGGGHHHGGGEEECCCBBBCCCDDDDDDGGGFFFFFFFFFEEEEEEEEEDDDDDDFFFHHHIIIIIIGGGDDDBBB???>>>>>>>>>???AAACCCDDDCCCEEEFFFFFFFFFFFFGGGIIIHHHIIIJJJKKKLLLMMMNNNNNNLLLLLLLLLLLLLLLNNNOOOPPPPPPOOONNNLLLLLLLLLMMMMMMKKKLLLOOOSSSWWW[[[^^^``````___]]][[[XXXVVVUUUTTTNNNKKKGGGFFFHHHJJJKKKJJJKKKLLLKKKJJJHHHFFFGGGHHHGGGIIIKKKKKKKKKKKKMMMOOOOOOOOOOOOMMMKKKJJJKKKMMMJJJMMMQQQUUUUUURRRNNNKKKKKKJJJIIIIIIIIIIIIIIIJJJHHHIIIKKKLLLMMMNNNPPPQQQSSSSSSRRRPPPNNNLLLJJJIIIFFFFFFGGGIIIKKKMMMPPPQQQQQQPPPNNNMMMLLLKKKLLLLLLMMMLLLLLLMMMPPPQQQQQQPPPOOOPPPOOOLLLKKKKKKMMMOOOJJJKKKLLLMMMNNNMMMLLLLLLIIIIIIJJJKKKLLLNNNNNNOOOKKKKKKLLLOOOSSSVVVVVVVVVVVVUUUUUUUUUUUUVVVWWWWWWTTTTTTTTTTTTTTTTTTUUUUUUYYY[[[\\\\\\YYYUUUTTTSSSQQQRRRTTTVVVWWWVVVUUUUUUVVVWWWWWWWWWXXXXXXXXXXXXZZZZZZ[[[[[[YYYVVVRRROOONNNPPPSSSUUUWWWYYY\\\^^^^^^bbbeeeddd___ZZZWWWVVVVVVWWWXXXYYYYYYXXXWWWVVVVVVXXX[[[\\\[[[YYYYYYZZZ[[[[[[[[[\\\\\\]]]^^^___\\\ZZZXXXWWWVVVXXXZZZ\\\```^^^\\\[[[[[[\\\^^^```bbb```]]]\\\]]]]]]\\\\\\YYYXXXXXXVVVTTTQQQOOOMMM::::::999888888777888888777888999:::<<<===>>>?????????>>>===<<<;;;;;;:::;;;:::999999888888999999<<<<<<;;;::::::999999888444555777888999999888888999999999999999888777777666555444555777999999888<<<;;;999777555555555555666666555555555555666666555555555444444333333333444444444555555555555555222222222222222222222222222222333333333333444444111222333444444444333222000222555777888777555444555555555666666666666777666666666555555444444444000////////////111222333000111222222444444555666666666666666666555555555444666777666222111222444000111222222222222111000111111222333333333333222///////////////000111222111111111111111111111111///////////////......---///000222333333111///---------...///000111222222111000000000111222333333222222222222111111111111222111000000000111333444999888777555333222222111444444333333222333333333111222222222222333333333333222222222222222333333...///111333444444444333777666555444444444444444777888888777777666555444333333333444444444444444333444444444555555666666111222333444555555555555666666777777777777666666777999;;;===????????????>>>???>>><<<::::::<<<>>>===@@@BBBBBB@@@@@@BBBEEEEEEDDDDDDCCCBBBBBBAAAAAABBBAAA???>>>>>>>>>???@@@>>>>>>>>>>>>===<<<;;;:::======>>>@@@BBBEEEGGGHHHHHHGGGEEEDDDCCCCCCDDDDDDGGGFFFFFFFFFEEEEEEDDDDDDEEEGGGIIIKKKJJJHHHEEECCC>>>>>>===>>>???@@@BBBCCCBBBDDDEEEFFFEEEFFFGGGIIIHHHIIIJJJKKKLLLMMMNNNOOOMMMLLLKKKKKKKKKLLLNNNOOOLLLKKKJJJIIIIIIJJJLLLLLLKKKLLLNNNQQQTTTXXX[[[]]]___^^^[[[XXXVVVUUUUUUUUURRRNNNIIIHHHJJJLLLLLLKKKJJJJJJIIIGGGEEEDDDFFFHHHDDDFFFIIIKKKLLLMMMOOOPPPPPPQQQPPPOOOMMMLLLMMMNNNJJJLLLOOOSSSUUUSSSNNNJJJKKKJJJIIIHHHGGGFFFFFFFFFEEEGGGJJJKKKLLLLLLMMMNNNQQQQQQQQQPPPOOONNNMMMLLLFFFFFFGGGIIIKKKNNNPPPQQQSSSRRRPPPNNNMMMMMMNNNNNNNNNMMMMMMOOOQQQSSSSSSRRRLLLLLLLLLJJJIIIJJJLLLOOOLLLMMMMMMNNNMMMLLLKKKJJJIIIJJJKKKLLLMMMNNNOOOPPPQQQOOONNNNNNPPPQQQQQQPPPTTTTTTTTTUUUVVVXXXYYYZZZVVVVVVUUUTTTTTTTTTUUUUUUZZZ\\\^^^]]]ZZZWWWVVVUUURRRTTTVVVXXXYYYXXXWWWVVVVVVVVVVVVVVVVVVVVVVVVVVVWWWYYY[[[\\\ZZZVVVQQQNNNNNNQQQTTTWWWYYY[[[]]]___[[[aaahhhiiiddd\\\VVVSSSTTTUUUWWWXXXXXXXXXWWWWWWVVVYYY[[[\\\ZZZXXXXXXXXXZZZZZZZZZ[[[\\\]]]^^^___^^^\\\ZZZXXXXXXYYY[[[]]]^^^]]][[[ZZZ[[[]]]___aaacccaaa^^^\\\]]]]]]\\\[[[XXXXXXWWWVVVSSSPPPMMMLLL999999:::::::::999888888777999;;;<<<>>>>>>>>>===@@@???===;;;:::999999:::;;;:::999999888888999999999999999999999999999:::777888999:::::::::::::::::::::999999888888777777555555555666666666666666555666777777666666777888444555666777777666555444555555444444444333333333333333333333333333333333111111111111111111222222222222222333333333444444333333444555555444333333444444555555666777777888777777666555555555555555777666666555444444333333555555444333222222222222333333333333333333333333444444444333333222222222444444555666555444222111000111222222222222111000222222222111111111111000000000000000000///......111111111000000000000000111111000000//////......000111222333333333222222......//////000000111111,,,---///000222333333333000000000000////////////000000000000000000000000333333333333333333333333222333555666666444333111222222111111222222333444222222222111111111000000333333222222222333444555555555555555555666777777999>>>BBBAAA:::444222222222333333444444333333333444555555555555555555444111111222333555666666777666666666666777777777777777888;;;===???@@@@@@@@@@@@???>>>===;;;;;;::::::======>>>???@@@BBBDDDEEEFFFEEEDDDBBBBBBBBBCCCDDDBBBBBBBBBCCCCCCCCCCCCDDDBBBBBBAAA???<<<;;;;;;<<<>>>???@@@BBBDDDEEEGGGGGGIIIIIIHHHFFFDDDCCCBBBAAADDDDDDEEEFFFFFFFFFFFFFFFFFFFFFGGGIIIIIIIIIIIIIIIFFFCCC@@@???@@@AAAAAA@@@AAABBBCCCEEEFFFFFFFFFFFFFFFHHHJJJLLLMMMMMMLLLKKKKKKKKKKKKKKKLLLMMMNNNOOOQQQOOOLLLIIIHHHGGGGGGHHHHHHJJJMMMQQQUUUXXX[[[\\\]]]\\\ZZZXXXUUUTTTRRRRRRSSSPPPLLLIIIIIIJJJIIIIIIJJJIIIGGGFFFFFFFFFGGGGGGIIIIIIJJJJJJLLLMMMOOOPPPSSSPPPNNNMMMNNNOOOOOONNNKKKLLLMMMOOOOOOOOONNNMMMJJJJJJJJJIIIGGGFFFDDDCCCEEEEEEDDDEEEGGGJJJMMMNNNRRRRRRQQQPPPOOOMMMLLLKKKHHHJJJLLLOOOPPPPPPOOONNNMMMKKKKKKLLLNNNNNNKKKHHHJJJJJJLLLMMMOOOQQQRRRSSSPPPOOONNNLLLLLLLLLMMMMMMPPPPPPPPPQQQPPPOOONNNMMMLLLHHHEEEGGGLLLQQQSSSTTTTTTSSSPPPOOOSSSYYYWWWQQQOOOQQQSSSVVVYYY[[[\\\]]][[[[[[YYYWWWTTTTTTVVVXXXVVVWWWYYYZZZ[[[ZZZXXXWWWYYYZZZZZZ[[[ZZZYYYXXXWWWXXXWWWWWWVVVUUUTTTSSSSSSTTTUUUWWWWWWWWWUUUSSSRRRMMMPPPTTTWWWXXXYYY[[[\\\[[[___ccceeeccc]]]VVVQQQQQQRRRTTTUUUWWWWWWXXXXXXXXXYYY[[[ZZZYYYYYYZZZ\\\[[[\\\]]]\\\ZZZYYYYYYZZZ]]][[[XXXVVVUUUUUUTTTTTTVVVWWWYYYZZZ[[[[[[[[[[[[]]][[[YYYYYYZZZ\\\\\\\\\SSSTTTUUUTTTQQQOOOMMMMMM::::::::::::999999888777777999:::<<<============@@@>>>===;;;:::::::::;;;::::::999888888888888999999999::::::::::::::::::777777888999999999999999777777777777777666666666666666666666555555555555666777888777555444555666444555666777777666555444444444444444333333333333333333333333333333333333222222222222222111111111222222222333333333333444111222333333333333222111333333444444555666666777777666555555444444555555555444444444444333333333333222222111111111222222222222222222222222222222444444444333333333222222333333333333333222222111111111111111111111111111222222222111111111000000000000000000000///......////////////////////////111000000000/////////...000111333444444444222111.../////////000000000111...///000111111222111111111000000000////////////000000000000000000000000222222222333333444444444666666777777555333000///111111111111111222222333222222222111111111000000222222333333333333444444777666666666777777888999999@@@HHHJJJDDD<<<666333333333444444444333222222444444555555555555444444111111222333444555666666666666666666777777777777666777:::<<<>>>?????????@@@???>>><<<;;;;;;::::::<<<<<<===>>>???AAACCCDDDDDDCCCBBBBBBAAAAAABBBBBBAAAAAAAAAAAABBBBBBBBBBBBCCCCCCBBB@@@===;;;<<<======>>>???@@@BBBCCCEEEEEEHHHHHHGGGFFFEEEDDDCCCCCCDDDEEEEEEFFFFFFFFFFFFFFFFFFGGGGGGHHHIIIIIIIIIJJJFFFCCC@@@>>>>>>???@@@@@@BBBBBBDDDEEEFFFGGGGGGGGGGGGHHHJJJKKKLLLLLLKKKKKKIIIIIIIIIJJJJJJLLLMMMNNNNNNNNNMMMLLLKKKIIIHHHGGGGGGIIIMMMQQQUUUXXX[[[\\\]]]\\\\\\ZZZXXXUUUSSSRRRUUUQQQLLLHHHHHHHHHIIIHHHHHHGGGFFFEEEDDDEEEEEEFFFHHHHHHHHHIIIJJJKKKLLLLLLOOOMMMLLLLLLMMMNNNNNNMMMJJJJJJKKKLLLLLLLLLLLLLLLJJJIIIHHHHHHGGGFFFEEEEEEFFFFFFFFFFFFHHHJJJLLLNNNQQQQQQPPPOOONNNMMMKKKKKKIIIJJJLLLNNNPPPPPPOOOOOONNNLLLKKKKKKMMMMMMKKKHHHIIIJJJKKKLLLNNNOOOPPPQQQNNNMMMKKKJJJJJJJJJJJJKKKKKKKKKKKKKKKLLLLLLLLLLLLLLLIIIGGGHHHLLLPPPSSSSSSTTTTTTRRRQQQUUUZZZYYYSSSPPPQQQSSSUUUXXXZZZ[[[\\\\\\\\\ZZZXXXUUUTTTVVVXXXXXXYYYZZZ[[[[[[ZZZYYYWWWXXXYYYZZZ[[[[[[YYYWWWVVVTTTTTTSSSSSSSSSSSSSSSSSSUUUUUUVVVWWWVVVTTTRRRPPPOOOQQQUUUWWWXXXYYYZZZ[[[YYYZZZ\\\\\\ZZZWWWSSSPPPOOOPPPQQQSSSTTTUUUUUUUUUWWWXXXYYYXXXWWWVVVWWWYYYZZZ[[[[[[YYYWWWUUUVVVWWWWWWUUUTTTSSSSSSSSSSSSSSSSSSTTTVVVXXXYYYYYYYYYYYY[[[ZZZXXXXXXYYYZZZZZZZZZTTTTTTSSSSSSRRRPPPNNNLLL;;;;;;::::::999888777777777888:::;;;<<<<<<<<<<<<>>>======<<<;;;;;;<<<<<<:::999999888888888888888777888999999::::::::::::666777777888888888888777444555555555555555666666777666666666555444444444777777888666444222222333444555555666666555555444333333333333333333333333222222333333333333333333444333333222222111111111111111222222222333333333222222333333333333222222222222333333444444555555666555444444333333444444222222222222222333333333111000000000000111222222222222222222222222222222444444444444333333333333333222222111111111111222333222111000000111222333222222111111111000000000//////000000000///......---------......//////000000000000000///////////////111444666666555333111////////////000000000000000000111111111000000///111111000000000/////////000000000000000000000000000111111222333444555555::::::999777444111...,,,000000//////000000111222222111111111111000000000111222333444444444333333666666666666666666777888999CCCNNNSSSNNNDDD:::444444444444444444333222111333333444444444444333333000111111222333444555555555666666666777777777888555777999;;;===>>>>>>>>>???>>>===<<<;;;:::::::::;;;;;;<<<<<<>>>???AAABBBAAAAAAAAAAAAAAA@@@@@@???@@@@@@@@@@@@AAAAAAAAAAAADDDEEEDDDAAA>>><<<===>>>======>>>>>>@@@AAABBBCCCFFFFFFFFFFFFEEEEEEEEEEEEEEEEEEFFFGGGGGGGGGGGGFFFGGGGGGGGGGGGHHHIIIJJJKKKGGGDDD???======>>>??????BBBCCCDDDFFFGGGGGGGGGGGGIIIIIIIIIIIIJJJJJJJJJJJJFFFGGGGGGHHHIIIJJJLLLLLLKKKMMMNNNOOONNNLLLJJJHHHHHHJJJNNNRRRVVVXXXZZZ[[[]]]]]]\\\[[[YYYWWWUUUSSSXXXSSSLLLGGGFFFFFFGGGGGGFFFEEEDDDCCCCCCCCCDDDEEEFFFFFFGGGGGGHHHHHHHHHIIIJJJIIIIIIKKKMMMNNNMMMLLLIIIIIIIIIHHHIIIIIIJJJJJJIIIHHHGGGFFFFFFFFFGGGGGGGGGGGGGGGHHHIIIJJJLLLLLLPPPOOOOOONNNMMMLLLLLLKKKKKKKKKMMMNNNOOOOOOOOOOOOPPPMMMKKKJJJKKKKKKJJJIIIJJJJJJKKKLLLMMMNNNOOOOOOLLLKKKJJJIIIHHHHHHHHHHHHHHHHHHGGGGGGHHHIIIKKKLLLMMMJJJHHHHHHKKKOOOQQQRRRTTTTTTSSSRRRVVV[[[ZZZUUUPPPQQQRRRTTTVVVXXXYYYYYY\\\\\\[[[YYYVVVVVVWWWYYY[[[\\\\\\]]]\\\ZZZYYYXXXVVVXXXZZZ\\\\\\YYYVVVTTTPPPPPPPPPPPPQQQQQQRRRRRRTTTTTTUUUUUUTTTSSSQQQPPPPPPRRRUUUWWWWWWWWWWWWXXXXXXWWWUUUSSSRRRQQQPPPPPPOOOPPPQQQRRRSSSTTTTTTTTTWWWXXXYYYXXXVVVTTTUUUVVVWWWWWWWWWUUURRRQQQQQQSSSQQQQQQQQQQQQQQQRRRRRRRRRRRRSSSUUUWWWYYYYYYZZZZZZZZZYYYWWWWWWXXXYYYYYYXXXVVVSSSQQQQQQSSSRRRNNNKKK<<<;;;:::999888777777777777888999::::::;;;;;;;;;<<<<<<<<<<<<<<<<<<======999999888777777777777777555666777888999999888888666666777777777777666666444444444555555666666666777777666555444444333333555666666555333222222333444444444444444444444444222222222222333333333333222222222222222333333333555444444333222111000000111111111111222222222222444444555555555555444444111111222222333333333333444444333222222222222333//////000000111222222333222222111000000000111111333333333333333333333333444444444333333333333333333333111000000111222333333222000//////000222333111111111111000000000000...///////////////......,,,,,,---...//////000000000000000000///////////////111444666777555333111////////////000000000000000000111111111111000000111111111000000000//////000000000000000000000000///000111222333444555555;;;:::999777444000...,,,///............///000000111111111111000000000000000111333555555444333222444333333333333333444444888@@@LLLQQQNNNEEE:::444555555555555444333222111222333333444444333333222000000111222222333444444555555666666777777888888666777:::<<<===>>>>>>>>>>>>===<<<;;;:::::::::::::::::::::;;;<<<===???@@@???@@@AAABBBAAAAAA???>>>@@@@@@@@@@@@AAAAAAAAAAAAEEEEEEEEEBBB@@@>>>>>>?????????>>>>>>???@@@AAABBBDDDDDDDDDEEEEEEFFFFFFGGGEEEFFFGGGGGGHHHHHHGGGGGGHHHHHHHHHGGGHHHIIIKKKLLLIIIEEE@@@<<<<<<>>>??????BBBCCCDDDFFFGGGGGGHHHHHHJJJJJJIIIHHHGGGHHHHHHHHHEEEEEEFFFGGGHHHJJJLLLMMMMMMNNNOOOPPPPPPOOONNNMMMLLLNNNRRRUUUXXXYYYYYYYYY^^^\\\ZZZXXXWWWWWWWWWWWWZZZTTTMMMGGGEEEEEEFFFGGGFFFEEEDDDCCCCCCDDDEEEFFFFFFGGGGGGGGGGGGGGGGGGGGGGGGGGGHHHKKKNNNOOONNNLLLJJJIIIHHHGGGGGGHHHJJJKKKIIIHHHFFFEEEEEEGGGHHHJJJHHHHHHHHHIIIIIIJJJKKKKKKOOOOOONNNNNNMMMMMMNNNNNNMMMMMMMMMNNNNNNOOOOOOOOOQQQOOOLLLIIIIIIJJJKKKKKKLLLLLLMMMMMMNNNOOOOOOOOOMMMMMMLLLKKKJJJIIIIIIHHHJJJIIIGGGFFFFFFHHHIIIKKKLLLJJJIIIHHHJJJLLLNNNPPPRRRSSSSSSSSSVVVZZZZZZUUUQQQQQQQQQRRRTTTUUUVVVWWWYYYZZZZZZYYYXXXXXXZZZ\\\^^^^^^^^^]]]\\\ZZZYYYXXXVVVXXX[[[]]]]]]ZZZWWWTTTPPPPPPPPPPPPPPPPPPPPPPPPPPPQQQRRRSSSSSSSSSRRRRRRPPPRRRUUUUUUTTTSSSTTTTTTVVVUUUSSSQQQOOOOOOPPPPPPPPPQQQRRRTTTUUUUUUUUUUUUYYYYYYZZZXXXUUUTTTTTTUUUSSSSSSSSSQQQNNNNNNOOOQQQQQQSSSTTTUUUTTTSSSSSSTTTVVVVVVXXXYYY[[[\\\]]]^^^[[[ZZZXXXXXXYYYZZZYYYXXXWWWSSSPPPPPPTTTTTTPPPLLL;;;:::999777777666777777777777888888999999:::::::::;;;;;;<<<<<<<<<<<<<<<999888777777666666777777555666888:::;;;::::::999666666777777777666666555555555555666666777777777777666666555444333333222222444555444333333444555444444333333333333444444222222222222222222222222111111111222222333333333444444333222222111000000000000000111111111222222444444444333333444444444111111111222222222222222333222222111111111111111---......///000111222222444444333111111000000000444444444444444444444444333333333333333333333333444333222111111222333444333222000//////000222333111111111000000000//////......////////////......------...//////000111111////////////000000000000000111333555666444333111000000000000////////////...///000111111222222111111111111111000000000000000000000000000000000000//////000111333444555555888888777555333111///.........------......///000000000000000000000000000000111333555555444333222333333222222222222222333555;;;BBBGGGEEE???777333444555555555444444333222222333333444444333333222111111111222222333333333555555555666777888888888888999;;;===>>>??????>>>===<<<;;;::::::999::::::999999::::::;;;<<<===>>>>>>???AAABBBBBBAAA@@@???AAAAAAAAAAAABBBBBBBBBBBBDDDEEEEEECCCAAA???@@@BBBBBBAAA@@@??????@@@AAABBBAAABBBBBBCCCEEEFFFGGGGGGFFFFFFGGGHHHHHHHHHHHHHHHIIIIIIIIIIIIJJJKKKLLLMMMJJJGGGBBB???>>>?????????BBBCCCDDDEEEFFFGGGGGGGGGJJJIIIHHHGGGFFFFFFFFFGGGEEEEEEFFFHHHIIILLLNNNOOOPPPPPPOOOOOOOOOPPPQQQRRRQQQSSSVVVYYYZZZZZZZZZYYY^^^[[[WWWTTTTTTVVVYYY\\\\\\VVVNNNHHHEEEEEEFFFFFFGGGFFFEEEEEEEEEFFFGGGHHHGGGHHHIIIIIIJJJIIIHHHHHHGGGGGGIIILLLOOOPPPOOONNNLLLKKKJJJIIIIIIJJJKKKLLLJJJIIIGGGFFFFFFHHHJJJKKKIIIIIIHHHHHHHHHIIIIIIJJJOOONNNNNNMMMNNNNNNOOOPPPOOONNNNNNMMMMMMNNNOOOPPPQQQPPPMMMJJJIIIJJJLLLNNNPPPPPPPPPPPPPPPPPPPPPPPPQQQPPPPPPOOONNNLLLKKKKKKLLLJJJHHHFFFEEEEEEFFFGGGIIIIIIHHHHHHHHHJJJLLLNNNOOORRRSSSRRRTTTXXXWWWSSSPPPPPPPPPPPPQQQSSSTTTUUUUUUWWWXXXYYYYYY[[[]]]___^^^^^^]]]\\\[[[ZZZXXXXXXWWWYYY\\\^^^^^^[[[XXXUUUSSSSSSRRRRRRQQQPPPOOOOOOMMMNNNOOOQQQRRRSSSTTTUUUOOOQQQSSSSSSRRRPPPPPPQQQRRRRRRQQQPPPOOONNNNNNNNNOOOPPPRRRSSSUUUVVVVVVVVVWWWXXXXXXVVVTTTRRRRRRSSSOOOPPPOOONNNLLLLLLOOOQQQVVVXXX[[[[[[YYYWWWWWWWWWXXXXXXYYYZZZ\\\]]]^^^___\\\[[[ZZZZZZ[[[[[[YYYXXXXXXSSSOOOPPPSSSTTTQQQMMM888888666555555555666777777777777777777888999999999::::::;;;;;;;;;::::::888777777666666666666666777888;;;===>>>===<<<<<<777777777777777666666555777777777777777777888888666555555555444333333333222333444444333333444666444333333222222333333444222222222111111111000000000000111111222333333333333222222111111000000000///000000000000111111111111111000000000000111111111111222222222222222222222111000000//////000000---......///000111111111444444333222111111111111333333333333333333333333111111111111222222222222333222222222222333444444333222111000000111222333111111000000000/////////------.../////////...............//////000000111////////////000000000000000111222333333333222222000000000000////////////......///111111222222222222222111111111000000000000000000000000000000000///000000111222333444444555444444333222111111111......------......///000//////000000000000000111111222333444444444333333555444444333333333333333333555888::::::888444222444444555555555555444444333333444444444444333333222222222222333333333444444444555666777888999999999:::<<<>>>?????????>>><<<;;;:::999999999999999999999999::::::<<<======>>>???@@@@@@@@@@@@@@@@@@AAAAAAAAAAAABBBBBBBBBBBBBBBCCCCCCBBBAAAAAABBBDDDEEECCCAAA@@@???@@@AAACCC???@@@AAABBBCCCEEEFFFFFFGGGGGGHHHIIIIIIIIIIIIHHHJJJJJJLLLMMMMMMNNNMMMMMMLLLIIIEEECCCBBBAAA@@@???AAABBBCCCEEEFFFFFFFFFFFFHHHHHHGGGGGGFFFFFFEEEEEEEEEEEEFFFHHHJJJMMMOOOPPPQQQPPPOOONNNNNNPPPRRRSSSSSSUUUXXX[[[]]]]]]\\\[[[[[[XXXUUUSSSTTTWWW\\\___\\\WWWOOOJJJGGGGGGGGGGGGHHHGGGFFFFFFFFFGGGHHHIIIHHHIIIJJJLLLLLLLLLKKKJJJHHHHHHIIILLLOOOQQQPPPOOONNNMMMLLLLLLKKKLLLLLLLLLKKKJJJIIIIIIIIIJJJKKKLLLKKKJJJHHHFFFFFFFFFHHHIIIMMMMMMLLLLLLMMMNNNPPPQQQQQQPPPNNNMMMLLLMMMOOOPPPQQQPPPOOOLLLKKKLLLOOOQQQTTTSSSSSSSSSRRRRRRQQQQQQSSSSSSSSSRRRQQQOOOMMMLLLKKKJJJHHHFFFEEEDDDDDDDDDGGGHHHIIIIIIHHHIIILLLNNNMMMQQQSSSQQQRRRUUUTTTQQQNNNNNNNNNNNNOOOQQQSSSUUURRRUUUWWWYYYZZZ[[[]]]___]]]\\\[[[ZZZYYYXXXWWWWWWWWWYYY[[[]]]]]]ZZZXXXUUUVVVUUUTTTSSSRRRQQQPPPPPPMMMMMMNNNPPPRRRTTTUUUVVVOOOQQQSSSSSSQQQOOOOOOOOOMMMMMMMMMMMMMMMLLLKKKJJJLLLMMMOOORRRTTTUUUVVVVVVUUUVVVVVVUUURRRQQQQQQRRRPPPPPPOOOMMMKKKLLLNNNQQQWWW[[[___```]]]ZZZYYYZZZWWWWWWWWWXXXYYYZZZ\\\\\\ZZZYYYYYYYYYZZZYYYWWWUUUUUURRROOOOOOPPPQQQOOOMMM666555444333333444666777777777666666666777888999888999:::::::::999888777777777666555555555555666555777:::<<<======<<<;;;777888888888777777666555888888777777777777777777444444444444444444444444444555666555444333444555444333222111111222333444333333222111000//////...///000000111222222333333000000000000000000000000/////////000000000111111000000///......///000000222222222222222222222222111000//////......//////......//////000000111111000000000000000111222333111111111111111111111111//////000000000111111111000000111222222222222222111111111111111111111111111000000000////////////,,,---......//////................................./////////000000000111111000000000111111222222111000000000/////////...///000111111111111000000222222222111111111000000000000000000000000000000000000111111222222222333333222111111000000111111...............//////000////////////000000111111222222333333333333444444444444333222222222222222222222333333444444333222222333444555666666666666444444555555555555444444333333333333444444444444444444555666777888999999888999;;;===>>>>>>======;;;::::::999999999999999:::::::::::::::;;;<<<===>>>>>>======>>>>>>???@@@@@@@@@@@@@@@AAAAAAAAAAAA@@@AAABBBBBBAAABBBDDDFFFFFFDDDBBB@@@??????AAABBB>>>>>>???@@@BBBCCCDDDDDDGGGHHHHHHIIIIIIIIIIIIIIIJJJKKKNNNPPPQQQPPPNNNMMMNNNLLLIIIGGGFFFDDDAAA???@@@AAABBBCCCEEEEEEEEEEEEEEEFFFGGGGGGGGGFFFEEEDDDDDDDDDFFFHHHJJJMMMOOOQQQNNNNNNNNNNNNNNNNNNOOOOOOOOORRRWWW[[[^^^______^^^WWWVVVUUUVVVXXX[[[^^^```\\\WWWQQQLLLJJJIIIHHHGGGHHHGGGFFFFFFFFFHHHIIIJJJGGGIIIKKKMMMNNNNNNMMMLLLJJJIIIHHHJJJMMMPPPPPPPPPNNNNNNNNNNNNNNNMMMLLLLLLLLLLLLLLLLLLKKKKKKKKKKKKMMMJJJGGGDDDCCCDDDGGGHHHJJJJJJIIIIIIJJJMMMOOOPPPSSSQQQNNNLLLLLLMMMOOOQQQOOOPPPQQQOOOMMMNNNQQQTTTVVVUUUUUUTTTSSSRRRRRRQQQSSSSSSSSSRRRQQQOOOMMMKKKKKKJJJJJJIIIHHHGGGGGGFFFGGGIIIKKKKKKJJJJJJMMMPPPMMMRRRTTTRRRQQQSSSRRROOOMMMLLLLLLLLLNNNPPPSSSUUUSSSUUUWWWYYYYYYYYY[[[\\\[[[ZZZYYYXXXWWWWWWVVVVVVWWWXXXYYYZZZZZZXXXVVVUUUUUUUUUTTTTTTSSSSSSRRRRRROOOOOOPPPPPPQQQSSSTTTUUUPPPRRRTTTTTTRRRPPPPPPPPPLLLLLLKKKKKKJJJJJJKKKKKKKKKMMMOOORRRUUUWWWXXXYYYWWWXXXXXXWWWUUUSSSTTTUUUUUUTTTRRRNNNKKKKKKMMMOOOSSSYYY^^^```]]]ZZZZZZ[[[XXXWWWVVVVVVVVVXXXYYYZZZVVVUUUUUUUUUVVVUUUSSSPPPPPPOOOMMMLLLLLLLLLLLLLLL444333222111222444666888777777666555555666888888888999999:::999888777666777777666555555555555555222444777999;;;:::999888888888888888888777666666888888777777666666555555333333444444444444444444666777888666444222333333444333222111111222333444444333222111000......---///000000111222222333333////////////000000000000////////////000000000000222111000//////000111222333333222222222222222222000000///.............../////////000000000000000,,,,,,---...000222333444////////////////////////......//////000000000111...///000222222222111000000111222222222222111000000000000000////////////,,,,,,---.../////////...------------------,,,,,,.../////////000000111111111000/////////000222333111111000000/////////...222222222111111000......222222222111111111111000000000000000000000000000111111111111111111222222222222111000//////000000///............///000000.../////////000000111111333333222222222333444555222222111000//////000000222222111222333444444333222222444555666666777777444555555666666555555444333444444444444444444555444444555666777888999999777888:::<<<======<<<<<<::::::999999888999999999::::::::::::;;;<<<<<<======<<<;;;;;;;;;===>>>???>>>????????????@@@@@@@@@>>>@@@AAAAAAAAABBBEEEGGGGGGEEEBBB???>>>>>>@@@AAA======>>>???AAABBBCCCCCCGGGHHHIIIIIIJJJJJJIIIIIIJJJLLLPPPRRRSSSRRROOOMMMOOOMMMKKKJJJHHHFFFBBB@@@???@@@AAACCCDDDDDDEEEEEECCCDDDFFFHHHHHHFFFEEECCCCCCDDDEEEGGGJJJMMMOOOPPPJJJKKKMMMNNNNNNMMMLLLJJJKKKOOOUUU[[[___aaaaaaaaaSSSUUUWWWZZZ\\\^^^``````[[[WWWRRRNNNLLLJJJIIIHHHGGGGGGFFFFFFFFFGGGIIIJJJGGGHHHKKKMMMNNNNNNNNNMMMKKKIIIHHHIIILLLNNNPPPPPPMMMNNNOOOOOOOOOMMMLLLKKKMMMMMMMMMNNNMMMLLLKKKKKKNNNJJJFFFBBBAAACCCFFFHHHHHHGGGGGGGGGHHHKKKNNNOOOTTTRRROOOLLLKKKMMMOOOQQQOOOPPPRRRQQQOOOOOORRRVVVVVVVVVUUUTTTSSSRRRQQQQQQRRRRRRRRRQQQPPPMMMKKKJJJLLLLLLMMMMMMMMMLLLKKKKKKHHHJJJLLLLLLKKKLLLOOOSSSNNNSSSUUUSSSRRRRRRQQQNNNLLLKKKKKKKKKMMMPPPSSSUUUTTTVVVXXXYYYXXXXXXXXXYYYYYYXXXWWWVVVVVVVVVVVVVVVVVVVVVWWWWWWWWWVVVUUUTTTSSSSSSSSSSSSTTTTTTTTTTTTRRRRRRQQQQQQQQQRRRRRRSSSQQQSSSUUUUUUSSSRRRQQQRRROOOMMMKKKIIIIIIKKKMMMNNNMMMNNNQQQTTTXXXZZZ\\\]]]ZZZ[[[\\\[[[YYYXXXXXXYYYYYYWWWTTTPPPLLLJJJKKKMMMNNNTTT[[[^^^\\\YYYZZZ\\\YYYXXXWWWVVVVVVWWWXXXYYYRRRRRRQQQRRRRRRQQQOOOLLLLLLLLLLLLJJJHHHHHHJJJKKK333333333333333333444444555555666777777777777777999888888888777777666666777777888888888888777777555555555555555444444444555666777666555444555777888777777666555444444444666555444333222333444444::::::999777555333111000111111111000111111222222000000000000000000000000000000111111111111000000222222111111111111111111000000000000000000000000111111111111111111111111111111222222222222111111111///------/////////...////////////000000000000222222222222222222222222222222222222222222222222000000000000000111111222222222222222222222222222111111111000///......---000000000000000///.........///000000000///---,,,------------------------111...+++,,,///111111000---......//////......------///111222111000111222111111000000//////......111111222222222333333333111111111111000000000000222111111111000000//////000000111111111111000000/////////000///......---...------......///000111333222222222222222222222000111222222222111///...//////000111222333333444333333333444555666777777666555444444333333333333333333333444444555555555555666777888888999999888999999999888888888888777999999888888888888888888::::::999999999:::;;;;;;<<<<<<;;;::::::;;;============>>>>>>>>>>>>======>>>>>>???@@@AAACCCCCCDDDDDDCCCBBBAAA@@@@@@??????>>>======???@@@AAABBBDDDEEEEEEEEEGGGHHHJJJLLLMMMNNNNNNPPPQQQRRRRRRRRRRRRQQQMMMIIIGGGHHHIIIGGGFFFBBBBBBAAAAAABBBCCCEEEFFFDDDEEEEEEEEEEEEDDDCCCCCCDDDCCCCCCEEEJJJLLLKKKJJJIIIJJJKKKMMMOOOOOOMMMKKKNNNOOORRRXXX]]]aaabbbbbb]]]ZZZWWWXXX\\\```cccccc___XXXPPPMMMNNNNNNKKKHHHHHHGGGEEEDDDDDDFFFGGGHHHIIIIIIIIIIIIIIIIIIHHHHHHFFFFFFEEEEEEGGGIIILLLMMMKKKMMMPPPPPPNNNKKKIIIHHHGGGHHHIIIKKKLLLMMMMMMMMMLLLJJJFFFCCCBBBDDDFFFHHHIIIIIIJJJLLLMMMOOOPPPPPPPPPPPPPPPOOOMMMMMMNNNPPPPPPPPPPPPQQQQQQQQQRRRRRRVVVVVVUUUTTTSSSRRRQQQQQQUUUUUUTTTRRRPPPNNNMMMLLLQQQQQQOOONNNNNNNNNOOOOOOMMMRRRWWWWWWTTTQQQQQQSSSTTTSSSRRRQQQPPPPPPPPPQQQRRRPPPMMMJJJJJJKKKMMMOOOQQQSSSVVVXXXYYYXXXWWWVVVYYYWWWUUURRRPPPOOOOOOOOOVVVXXXZZZYYYWWWUUUUUUUUUTTTSSSSSSSSSTTTUUUVVVVVVWWWTTTRRRRRRSSSUUUVVVVVVTTTSSSSSSRRRRRRRRRRRRSSSPPPOOOMMMKKKKKKMMMOOOQQQOOOPPPQQQRRRUUUWWWYYYZZZ[[[\\\]]]]]]\\\[[[ZZZYYYXXXUUUQQQMMMKKKKKKKKKLLLOOOQQQSSSSSSSSSVVV\\\aaa\\\]]]\\\ZZZWWWUUUUUUVVVQQQOOONNNNNNOOONNNMMMKKKNNNLLLKKKJJJJJJJJJJJJIII222222222222333333333333555555666777777777777777888888888777777777666666666777777888888777777666555555555555444444444444444666777666555444555666777777666666555444444333555555333222222222333444888888777666444222000///111000000000000111222222000000000000000000000000000000000//////000000000111111111111111111111111000000000000000000000000000000000000000000000000000111111222222111111000000///------/////////....../////////000000000000111111111111111111111111222222222222222222222222000000//////000000111222222222222222222222222222222222111000000///......000000000000000///.........///000000///...---,,,------------------------...+++)))))),,,......,,,------............------...///000000//////000222000000000000//////......111111111111222222222222111111111000000000//////111111111000000000//////000000111111111111000000///000000000000///......------------...///000111222222222222111111111111+++,,,---...//////......000000111111111111111111333333444444555555666666555555444333333333333333222222222333333444444444555555777888888888888888:::999999999888888777777666777999999999888777666888888888888888999999:::===<<<<<<;;;<<<<<<>>>>>><<<<<<===>>>>>>>>>>>>>>>;;;<<<>>>???AAACCCDDDEEEDDDCCCBBB@@@??????@@@@@@@@@AAABBBBBB@@@???AAADDDEEEEEEFFFGGGHHHJJJKKKLLLPPPQQQQQQRRRRRRRRRQQQQQQRRROOOKKKIIIJJJJJJIIIHHHBBBAAAAAAAAABBBCCCEEEFFFFFFFFFFFFFFFFFFEEEDDDDDDFFFDDDCCCDDDGGGIIIIIIHHHIIIJJJLLLNNNPPPPPPOOONNNRRRSSSUUUYYY^^^aaaaaa```[[[YYYXXX[[[^^^aaabbbaaa```YYYRRRPPPQQQSSSQQQNNNJJJHHHFFFEEEDDDEEEGGGHHHHHHHHHHHHHHHHHHHHHHHHHHHFFFEEEEEEFFFGGGJJJLLLNNNOOOQQQSSSRRRNNNJJJHHHGGGFFFGGGHHHJJJKKKLLLLLLLLLGGGFFFDDDCCCCCCDDDFFFHHHGGGHHHHHHIIIJJJKKKLLLLLLPPPQQQQQQPPPNNNMMMMMMNNNNNNOOOOOOPPPPPPQQQQQQQQQSSSSSSSSSSSSTTTTTTTTTTTTSSSRRRQQQPPPOOONNNNNNNNNRRRQQQPPPOOOOOOPPPPPPQQQSSSWWW[[[ZZZWWWTTTUUUWWWWWWVVVSSSQQQPPPPPPQQQRRRQQQOOOLLLJJJIIIJJJLLLNNNPPPRRRUUUWWWXXXXXXVVVUUUUUUSSSQQQPPPNNNNNNMMMNNNSSSUUUWWWWWWUUUUUUUUUVVVVVVVVVUUUUUUTTTUUUUUUUUUWWWUUURRRQQQSSSTTTUUUUUUSSSRRRRRRQQQQQQQQQQQQQQQRRRQQQOOOMMMMMMNNNPPPQQQOOOOOOQQQRRRTTTWWWYYYZZZZZZ[[[[[[[[[[[[YYYWWWVVVUUUSSSPPPMMMKKKJJJJJJJJJKKKMMMNNNNNNMMMPPPUUUZZZ[[[\\\]]][[[YYYWWWVVVVVVPPPNNNLLLLLLLLLLLLKKKIIIKKKIIIHHHHHHIIIKKKKKKKKK111111111111222222333333555555666777777777666666777777777777666666666666666666777777777777666666555555555444444333333333444555666666444444555666666666666555555444444333444444333222222222222333444444444333111///...---000/////////000000111222000000000000000000000000000000///......///000000111111111111111111111111000000000000000000000000////////////////////////000000111111111111000000000...------///000///........./////////000000000000000000000000000000000111111111111111111111111///////////////000111111222222222222222222222222222222222111000000//////000000000000000///.........////////////...------------------------------///...,,,---.../////////,,,------......------,,,...//////...------000222000000000////////////...//////000000000111111111111111000000000000//////111111000000000000/////////000000111111000000//////000000000000///......------------...///000111000000000000000111111111,,,---///000111222222222111111111000000/////////444444444444444444444444444333333222222222222333222222222222222333333333555555666777888888888888:::::::::999888777777666444666888::::::888666444777666666666666777888999>>>============>>>???@@@;;;<<<===>>>>>>???>>>>>>:::;;;===???AAACCCEEEFFFEEECCCAAA???>>>???AAABBBAAADDDEEECCCAAAAAACCCEEEFFFFFFFFFGGGHHHIIIKKKLLLRRRSSSSSSSSSSSSRRRQQQQQQTTTQQQNNNMMMMMMMMMLLLKKKAAAAAAAAAAAABBBDDDFFFGGGGGGHHHHHHHHHHHHGGGFFFFFFHHHEEECCCBBBDDDFFFGGGFFFIIIKKKMMMOOOQQQRRRRRRQQQTTTTTTVVVYYY]]]^^^^^^]]]YYYYYYZZZ]]]```bbbaaa______XXXRRRPPPSSSUUUTTTQQQKKKIIIGGGEEEDDDEEEGGGHHHHHHGGGGGGGGGGGGGGGGGGHHHFFFFFFFFFGGGIIIKKKNNNPPPTTTUUUUUURRRNNNIIIGGGFFFFFFGGGHHHIIIJJJKKKKKKKKKCCCCCCCCCCCCDDDEEEFFFGGGGGGGGGHHHHHHIIIJJJKKKKKKQQQRRRRRRQQQNNNLLLLLLLLLLLLMMMMMMNNNOOOOOOPPPPPPPPPQQQRRRSSSUUUVVVWWWWWWQQQPPPNNNMMMMMMNNNOOOPPPRRRRRRQQQPPPPPPQQQSSSSSSXXX[[[\\\ZZZVVVTTTUUUWWWWWWUUURRRPPPOOOOOOPPPQQQPPPNNNKKKIIIIIIIIIKKKMMMOOOQQQSSSUUUWWWVVVUUUUUURRRRRRPPPOOOOOOOOOOOOOOOQQQSSSTTTSSSSSSSSSUUUWWWWWWVVVUUUTTTSSSSSSSSSSSSXXXUUURRRQQQRRRSSSSSSSSSQQQQQQPPPOOOOOOOOOOOOOOORRRPPPNNNMMMLLLMMMNNNOOONNNOOOPPPRRRTTTVVVWWWXXXYYYYYYYYYYYYWWWVVVTTTRRRRRRQQQOOOLLLKKKIIIHHHHHHIIIJJJKKKJJJIIIJJJOOOSSSXXXZZZ]]]]]][[[XXXWWWVVVQQQOOOMMMLLLMMMMMMLLLKKKIIIIIIHHHHHHIIIJJJLLLMMM000000000111111222222333555555666666666666666555666666666666666666666666555666666777777666666555555555444444333222222222333444555555444333444555555555555444444444333333333333222222111111111111000000000000///---,,,+++............///000111111////////////////////////000///...------...///000000000000000111111111111000000000000000000000000........................///000000000000000000///000...------///000000///........./////////000000////////////////////////000000000000000000000000///............///000000111111111111111111111111222222222222111111000000000000000000000///...........................---........................000////////////000000000,,,,,,------------,,,,,,//////...,,,+++,,,///111////////////////////////........./////////000000111000000000////////////000000000000000000////////////000000000000//////...////////////...------------------...///000000////////////000000000000//////000111222222333333000000000///////////////444444444333333333333333333222222111111222222222333333333333333333333333444555666777888888888888::::::999888777777666666444555666888888777666555666555555555666777888999>>>>>>>>>>>>??????@@@AAA======>>>>>>>>>>>>======<<<===>>>@@@BBBCCCEEEEEEFFFCCC@@@>>>===???AAACCCCCCDDDDDDCCCFFFJJJKKKIIIFFFFFFFFFGGGHHHIIIJJJKKKQQQRRRRRRSSSSSSSSSRRRRRRTTTSSSQQQOOOOOONNNNNNNNNAAA@@@@@@AAABBBDDDFFFGGGHHHIIIIIIIIIIIIHHHGGGGGGFFFDDDBBBAAAAAADDDFFFGGGIIIKKKNNNPPPQQQRRRSSSTTTRRRRRRTTTWWW[[[\\\\\\[[[YYYZZZ\\\^^^```aaa``````\\\VVVOOOMMMPPPRRRQQQNNNJJJHHHFFFDDDDDDFFFIIIKKKKKKJJJHHHGGGFFFEEEFFFFFFGGGGGGHHHJJJLLLNNNQQQRRRTTTTTTSSSPPPLLLHHHGGGFFFGGGHHHIIIJJJKKKKKKKKKKKKCCCCCCDDDEEEFFFFFFFFFFFFFFFGGGHHHIIIKKKLLLMMMNNNQQQSSSSSSRRROOOLLLJJJJJJJJJJJJKKKLLLMMMNNNOOOPPPOOOPPPQQQSSSUUUWWWXXXYYYRRRPPPNNNLLLKKKMMMOOOPPPRRRQQQQQQPPPQQQSSSTTTUUUXXXYYYXXXUUUQQQOOOPPPRRRQQQQQQPPPPPPPPPPPPOOOOOOOOOMMMKKKIIIHHHIIIJJJKKKNNNOOORRRTTTUUUUUUUUUTTTTTTSSSSSSSSSSSSSSSSSSTTTSSSSSSTTTSSSRRRRRRUUUWWWUUUTTTTTTSSSSSSSSSSSSTTTYYYVVVSSSQQQQQQRRRRRRQQQPPPOOONNNMMMMMMMMMMMMMMMNNNMMMKKKJJJIIIJJJJJJKKKMMMNNNPPPRRRSSSUUUVVVVVVWWWWWWWWWVVVUUURRRPPPOOONNNNNNMMMKKKJJJHHHGGGFFFJJJKKKLLLJJJHHHHHHKKKOOOSSSVVVZZZ\\\[[[YYYWWWVVVSSSRRRPPPPPPQQQRRRRRRRRRNNNNNNMMMKKKIIIIIIJJJLLL//////000111222222333333555555666666666666555555555555555555555555555666555555666666666666555555555444444333222222111111222444555444333222333555444444444444333333333333111111111111111000000000------......---,,,,,,+++------------...///000111////////////////////////000///...------...///000//////000000000111111111////////////////////////////////////////////////...//////000000//////...///...,,,---///000000///............////////////........................////////////////////////.........---......///000111111111111111111111111222222222111111111111111000000000000000///.........------------.................................,,,,,,------,,,,,,,,,,,,,,,------......------,,,//////...,,,++++++...000.............../////////------........./////////000000000////////////...//////////////////000000//////000000000000//////---............---,,,,,,,,,,,,,,,------...///000....../////////000000000........................---......///000111111111333333333333333222222222222222222111111222222333555555555555555444444444444555666777777888888777999999888777777666555555666555444333444555777888555555555666666777999999<<<======>>>???@@@@@@@@@????????????>>><<<;;;:::???@@@@@@AAABBBCCCCCCDDDEEECCC@@@>>>===???BBBDDDFFFFFFDDDEEENNNWWWVVVPPPGGGGGGGGGGGGHHHHHHIIIJJJNNNNNNPPPQQQSSSSSSTTTTTTSSSSSSRRRQQQOOONNNNNNOOOAAAAAAAAAAAABBBDDDFFFGGGHHHIIIIIIIIIIIIHHHGGGGGGCCCBBBAAA@@@AAACCCFFFIIIHHHKKKMMMNNNNNNNNNQQQSSSPPPQQQSSSWWW[[[^^^^^^]]][[[\\\\\\]]]]]]___aaaccc[[[TTTMMMKKKMMMOOONNNKKKHHHFFFDDDCCCDDDGGGKKKMMMNNNMMMJJJGGGEEEDDDCCCCCCGGGHHHJJJLLLNNNQQQSSSTTTPPPPPPOOOMMMIIIGGGGGGGGGIIIJJJKKKLLLLLLLLLLLLLLLFFFGGGHHHHHHHHHHHHGGGFFFDDDEEEFFFHHHKKKMMMOOOPPPQQQRRRTTTSSSPPPLLLIIIHHHHHHHHHJJJKKKMMMNNNOOOPPPQQQRRRSSSTTTUUUVVVWWWXXXUUURRROOOMMMLLLLLLNNNOOOQQQPPPPPPQQQRRRTTTVVVWWWXXXWWWUUURRROOOMMMNNNOOOLLLNNNQQQTTTUUUSSSQQQPPPNNNMMMKKKIIIHHHIIIJJJJJJMMMNNNPPPRRRTTTUUUUUUUUUTTTUUUUUUVVVVVVVVVVVVVVVVVVWWWVVVTTTRRRRRRTTTVVVUUUUUUUUUUUUVVVWWWXXXYYYZZZWWWSSSQQQQQQRRRRRRQQQOOONNNMMMLLLKKKKKKKKKKKKLLLKKKJJJIIIIIIIIIIIIJJJLLLMMMOOOQQQSSSTTTTTTTTTUUUUUUUUUTTTSSSQQQNNNMMMLLLKKKKKKJJJIIIGGGFFFFFFKKKLLLMMMKKKGGGFFFIIILLLMMMRRRWWWZZZZZZXXXVVVUUUUUUSSSQQQQQQSSSVVVVVVVVVUUUVVVUUUQQQLLLIIIHHHIII///000000111222333444444555555666666666555444444444444444555555555555555444444555555555555444444444444333333222111000000222333444444222222333444333333333333333333333333000000111111000000///...+++,,,,,,---------,,,,,,++++++,,,,,,---...///000000000000000000000000000////////////////////////...//////000000111111111////////////////////////////////////////////////......////////////......///---,,,---///000000000------........./////////................................................---------------...//////111111111111111111111111111111111111111111111111000000000000000///......---------,,,------...///........................,,,...//////---,,,,,,------..................---/////////---,,,,,,---///---............/////////------........./////////000000////////////............////////////000000...//////000000//////...---............---,,,,,,,,,,,,,,,,,,---...///000......//////000000111111111000//////......//////---......///111222222333222222222222222222222222333222222222222333333444666666666666555555555555444444555666777777777777666666666666555555555555666444222111111444777999444444444555666777888999:::;;;<<<===>>>?????????????????????>>><<<;;;:::@@@@@@AAAAAAAAABBBBBBBBBDDDBBB@@@>>>>>>@@@BBBCCCHHHJJJIIIIIIQQQ\\\[[[TTTHHHHHHHHHGGGGGGHHHIIIIIIJJJKKKMMMOOOQQQRRRSSSSSSPPPQQQQQQPPPNNNMMMMMMNNNBBBBBBAAAAAABBBCCCEEEFFFGGGHHHHHHHHHHHHGGGFFFFFFAAABBBBBBAAAAAACCCFFFIIIGGGJJJLLLLLLJJJIIILLLNNNOOOPPPSSSXXX]]]`````````\\\]]]]]]]]]]]]^^^aaaddd[[[TTTMMMKKKMMMOOONNNKKKHHHFFFCCCBBBCCCFFFJJJMMMOOOMMMIIIEEECCCBBBBBBBBBFFFGGGIIILLLOOORRRTTTUUUNNNNNNLLLIIIFFFEEEGGGHHHJJJKKKLLLMMMMMMMMMMMMMMMIIIIIIJJJJJJJJJIIIIIIHHHBBBCCCDDDGGGIIIKKKMMMNNNOOORRRTTTTTTQQQMMMIIIHHHGGGGGGIIIJJJLLLNNNOOOPPPRRRSSSSSSTTTUUUVVVWWWWWWVVVTTTRRRPPPNNNNNNOOOPPPQQQQQQQQQRRRTTTVVVYYYZZZ\\\[[[XXXUUUSSSRRRRRRQQQNNNPPPTTTWWWXXXVVVTTTRRRNNNMMMKKKJJJIIIIIIJJJJJJMMMNNNPPPRRRSSSUUUUUUVVVSSSTTTUUUUUUVVVVVVUUUUUUWWWXXXXXXVVVTTTSSSTTTUUUXXXXXXXXXYYY[[[\\\^^^___ZZZWWWTTTRRRRRRSSSSSSRRROOONNNMMMLLLKKKJJJJJJJJJKKKKKKJJJJJJJJJJJJKKKKKKKKKLLLOOOQQQRRRSSSSSSRRRTTTTTTTTTTTTSSSQQQOOOMMMKKKJJJIIIHHHGGGGGGGGGGGGJJJLLLLLLJJJFFFEEEFFFIIIJJJOOOTTTXXXYYYXXXWWWWWWVVVSSSQQQPPPRRRTTTUUUUUUXXXZZZZZZWWWPPPJJJHHHHHH000000111222333444555555555555666666555555444333333333444444444555555555444444444555555444444444444444333222111000//////111333444333222111222333222222222222222222333333//////000000000///...---++++++,,,---......------******++++++,,,...///000000000000000000000000000...///111222222111///.........//////000111111222////////////////////////---------------------------......//////......---...---,,,---///111111000---------.........//////........................------------------------------,,,,,,------...///111111111111111111111111000000000000000000000000000000000000000///......------,,,,,,,,,---...///...........................000333222000......///...//////000000//////......///000///---,,,---...---------.........//////............////////////000000/////////................../////////000000......////////////......//////000000//////...---,,,,,,,,,,,,---...//////......///000000111222222222111111000000111222333000000000111111111222222000000111111222222333333333333333333333444555555666666555555555444444444333444555666777777777777333333333444444444444555333222222111222444666777222222333333444666777888777888:::<<<==================>>>>>>>>>>>>============>>>???@@@@@@AAAAAABBBAAA@@@@@@@@@AAABBBBBBFFFMMMNNNHHHIIIQQQSSSOOOIIIIIIHHHGGGGGGHHHHHHHHHIIIJJJKKKMMMNNNOOOOOOOOOLLLNNNPPPOOOLLLJJJKKKLLLDDDCCCBBBAAAAAABBBCCCDDDFFFFFFFFFFFFFFFEEEDDDDDDAAACCCDDDDDDBBBBBBDDDGGGGGGIIIKKKIIIEEECCCFFFIIIMMMNNNQQQUUUZZZ]]]]]]]]]ZZZ]]]___```___^^^```bbbXXXRRRKKKJJJMMMPPPOOOLLLJJJGGGCCCAAAAAACCCGGGIIIKKKIIIEEEBBB@@@@@@AAABBBCCCDDDGGGJJJNNNPPPRRRSSSNNNMMMKKKHHHEEEDDDFFFHHHJJJKKKKKKLLLLLLLLLLLLLLLIIIIIIIIIJJJJJJKKKKKKLLLEEEFFFGGGHHHIIIJJJKKKLLLNNNQQQTTTUUURRRMMMJJJHHHFFFGGGHHHJJJMMMOOOPPPQQQQQQRRRSSSTTTVVVWWWXXXYYYUUUTTTSSSSSSRRRRRRRRRSSSSSSSSSTTTUUUWWWZZZ]]]^^^aaa```]]][[[ZZZYYYXXXVVVRRRRRRSSSTTTTTTSSSRRRRRRNNNMMMLLLKKKJJJJJJJJJJJJNNNNNNPPPRRRSSSUUUVVVWWWSSSTTTUUUVVVVVVVVVUUUTTTTTTVVVWWWWWWVVVUUUUUUVVVZZZZZZZZZZZZ[[[\\\^^^^^^[[[XXXUUUSSSTTTUUUUUUTTTOOONNNMMMKKKJJJJJJJJJIIIHHHHHHIIIIIIJJJJJJKKKKKKJJJLLLNNNQQQRRRRRRQQQQQQSSSSSSTTTTTTSSSRRRPPPOOOKKKJJJHHHFFFFFFFFFHHHIIIJJJLLLMMMKKKGGGEEEFFFIIIIIINNNSSSWWWXXXXXXYYYYYYYYYVVVRRRPPPPPPQQQQQQPPPTTTXXX[[[ZZZTTTNNNKKKKKK000111111333444555666666555666666666555444333333333333333444444555555555333444444555555444444333444444333222111000///...111222333333111111222333222222222222222222222333...///000000000///---,,,++++++,,,---............*********+++,,,---///000000000000000000000000000...///222333333222///...---......///000111111222////////////////////////,,,,,,,,,,,,,,,,,,,,,,,,---..................---...---,,,---///111111000---------.........//////////////////////////////---------------------------,,,,,,,,,,,,---......000000000000000000000000///////////////000000000000000000000000//////...---,,,,,,+++,,,---//////////////////////////////+++...000000---***+++,,,//////000000000000//////...000111111///------...---------.........//////........./////////000000000/////////............---.........//////000000......////////////......111111111111111000000///,,,,,,,,,,,,---...//////...//////000111222222333------,,,---...///111222222222222222111111111111//////000111222333333444333333333333444444555666555555555444444333333333333444555666777777777777111222222333333444444555000111222333444444555555111111111222333444666777666777999;;;<<<<<<<<<;;;:::;;;<<<>>>??????@@@@@@::::::;;;===>>>@@@AAAAAAAAAAAAAAA@@@AAAAAAAAABBBAAAMMMPPPFFF???DDDHHHGGGIIIIIIHHHHHHGGGGGGHHHHHHIIIJJJKKKLLLLLLLLLLLLLLLJJJMMMNNNMMMJJJIIIIIIKKKEEEDDDCCCBBBAAABBBCCCCCCEEEEEEEEEEEEEEEDDDCCCCCCCCCEEEGGGEEECCCAAABBBDDDFFFIIIJJJGGGBBB@@@BBBEEEJJJKKKMMMQQQVVVXXXXXXXXXWWW\\\aaacccaaa______```TTTNNNHHHHHHLLLOOOOOOMMMLLLIIIDDD@@@???AAADDDFFFGGGEEEBBB@@@???@@@AAABBB@@@BBBEEEIIILLLOOOPPPQQQPPPOOOLLLHHHDDDCCCEEEGGGIIIJJJKKKKKKKKKKKKKKKKKKGGGGGGGGGHHHJJJLLLMMMNNNJJJJJJKKKKKKKKKKKKKKKKKKMMMPPPTTTUUURRRNNNJJJHHHFFFGGGHHHJJJMMMOOOQQQRRRPPPQQQRRRTTTVVVXXXZZZZZZSSSSSSTTTTTTUUUUUUUUUUUUUUUUUUVVVWWWZZZ]]]___aaadddcccaaa______]]][[[YYYTTTSSSPPPNNNMMMMMMNNNOOONNNMMMLLLKKKKKKJJJJJJJJJNNNOOOPPPRRRTTTUUUWWWWWWUUUUUUWWWWWWXXXWWWVVVUUUQQQSSSVVVWWWVVVVVVVVVVVVZZZYYYYYYYYYYYYYYYZZZ[[[[[[XXXUUUTTTUUUVVVVVVUUUOOONNNMMMLLLJJJJJJIIIIIIDDDEEEFFFGGGHHHIIIIIIJJJJJJLLLNNNPPPRRRRRRQQQPPPSSSSSSTTTTTTTTTSSSQQQPPPLLLJJJHHHFFFEEEFFFHHHJJJLLLNNNOOOMMMIIIGGGHHHKKKJJJNNNSSSWWWYYYYYYZZZ[[[^^^ZZZUUUQQQPPPOOOOOONNNNNNTTTZZZ[[[VVVQQQOOOOOO111222111000//////222444444444444555555555555666555444333222111111111111333333333444444555555555555333000---,,,---...///111000/////////000222333222222222111111111000000111000000///...------------------.........//////---...///...------...///000000111222222222222222111111000/////////////////////...---------------////////////000000000000------,,,++++++++++++,,,......////////////...............////////////000......///000000000000000------------------------)))))))))***+++,,,---...,,,,,,,,,,,,---...//////////////////000000000000111111000000000000111111////////////////////////,,,,,,,,,,,,,,,---...//////...---,,,+++,,,,,,---,,,---///000000000///...///000111222222111000///++++++++++++,,,,,,---.....................------000000000000000111111111444222000///...///000111000000/////////111222333000000000000111111111111333333222222000///---,,,...............///000000///000111222333222111111111111111111111111111111***+++...000111111000///111222333222000///000111333333333444444444555555666666666777666666555444444444444555555444333333111111111111111111111111333333333222222222111111222222222222222222222222444555777888999999999999:::;;;<<<<<<<<<:::888666<<<<<<<<<<<<===???@@@AAA>>>BBBEEECCC???===@@@DDDDDDDDDDDDDDDDDDEEEFFFFFFDDDEEEFFFEEEDDDDDDFFFHHHGGGGGGGGGGGGGGGHHHIIIJJJMMMLLLKKKKKKJJJIIIIIIIIIDDDCCCAAA@@@??????@@@AAACCCCCCCCCDDDCCCCCCBBBBBB@@@@@@@@@AAABBBDDDGGGHHHGGGKKKMMMJJJDDD@@@AAACCCFFFHHHJJJMMMQQQTTTWWWYYY]]]\\\\\\]]]^^^^^^\\\ZZZRRROOOKKKHHHHHHJJJNNNQQQPPPOOOLLLGGGCCCBBBCCCEEECCCCCCBBBAAAAAABBBCCCCCCCCCDDDFFFIIILLLOOOQQQSSSPPPNNNKKKHHHFFFEEEFFFFFFJJJKKKLLLKKKKKKKKKMMMOOOKKKIIIFFFHHHKKKNNNNNNMMMMMMMMMLLLKKKKKKJJJIIIIIIJJJLLLMMMMMMLLLIIIFFFDDDFFFFFFGGGJJJOOORRRSSSSSSQQQQQQQQQRRRTTTVVVXXXZZZYYYVVVRRRRRRTTTUUUTTTRRRSSSUUUVVVYYYZZZ\\\\\\]]]^^^]]]\\\\\\\\\]]]^^^___VVVRRRMMMJJJKKKMMMOOOPPPNNNNNNNNNMMMNNNNNNOOOOOORRRRRRSSSRRRPPPPPPRRRTTTUUUUUUVVVXXXYYYYYYYYYZZZZZZYYYYYYYYYZZZYYYVVVTTTZZZZZZYYYXXXYYY[[[]]]^^^]]]YYYUUUSSSSSSTTTTTTTTTLLLNNNOOONNNKKKHHHFFFFFFEEEEEEDDDDDDEEEFFFHHHIIIIIIJJJLLLNNNPPPQQQQQQQQQTTTTTTTTTSSSRRRPPPOOONNNLLLJJJHHHIIIKKKLLLJJJHHHKKKLLLNNNOOONNNMMMKKKIIILLLMMMNNNPPPSSSVVVZZZ\\\[[[ZZZXXXUUUQQQMMMJJJHHHKKKNNNRRRUUUVVVTTTRRRPPP111222333222111111222444444444444444555555555555555444333222111111111111333333333444444444555555555333111...------///000111000/////////000111222222222222111111111000000111000000///......------------------.........///---...///...------...///......///000000000000///111111000///////////////000///......------........./////////000000000000...------,,,,,,,,,,,,,,,---............------,,,,,,,,,,,,---------......------...////////////...------------------------,,,,,,,,,,,,---.../////////...---,,,,,,+++,,,,,,.../////////000000000000000000////////////000000/////////...............---------------...////////////---,,,,,,,,,------,,,---...///000//////...//////000111111000//////------,,,,,,,,,---......------...............---...////////////000000000222111000///...///000000///......---...///000111//////000000000111111111333222222222111000.....................///000000///000111222222222111111000000000000000000000000---...///000000000///...222333444333111000111222333333333444444444444555444444555444444444333222333333444444444333333222222222222222222222222222333333333222222222111111222222222222222222222222333555666888888888888777999:::;;;<<<<<<:::888777;;;;;;;;;<<<===>>>@@@@@@>>>AAACCCBBB???>>>@@@CCCCCCCCCCCCBBBCCCDDDDDDEEEBBBDDDEEEDDDCCCDDDEEEGGGHHHHHHGGGGGGGGGHHHIIIIIIJJJJJJKKKKKKJJJJJJIIIHHHDDDCCCAAA@@@??????@@@AAABBBBBBCCCCCCCCCCCCBBBBBB@@@@@@@@@AAABBBDDDFFFHHHHHHKKKMMMKKKFFFBBB@@@@@@FFFGGGJJJMMMOOOQQQRRRRRRUUUUUUWWWZZZ\\\[[[XXXUUUNNNLLLIIIGGGGGGIIILLLNNNPPPOOOLLLGGGCCCAAACCCDDDBBBBBBAAA@@@@@@AAABBBBBBBBBDDDFFFHHHKKKNNNPPPQQQOOOMMMJJJGGGEEEDDDEEEEEEHHHJJJKKKJJJJJJJJJLLLNNNLLLIIIGGGHHHKKKMMMMMMLLLHHHGGGGGGFFFEEEEEEDDDDDDIIIKKKLLLMMMMMMKKKHHHGGGEEEEEEGGGKKKPPPTTTUUUUUUQQQQQQQQQRRRTTTVVVXXXZZZXXXUUURRRRRRSSSTTTSSSRRRQQQRRRTTTVVVXXXYYYZZZZZZ]]]\\\[[[YYYYYYYYYZZZ[[[UUURRROOOMMMNNNPPPQQQRRRNNNNNNNNNNNNNNNNNNOOOOOOOOOPPPQQQQQQPPPOOOPPPQQQVVVWWWYYY[[[\\\]]]\\\\\\\\\[[[[[[\\\]]]\\\ZZZXXXWWWVVVUUUUUUVVVYYY]]]___^^^ZZZVVVSSSSSSTTTTTTTTTMMMOOOPPPNNNKKKGGGEEEDDDEEEEEEDDDDDDDDDFFFGGGHHHHHHJJJMMMPPPRRRSSSSSSSSSTTTTTTTTTSSSRRRPPPOOONNNKKKIIIHHHIIIKKKMMMKKKJJJKKKLLLNNNPPPQQQPPPOOOOOOLLLMMMMMMOOOQQQTTTVVVXXXYYYXXXWWWTTTQQQNNNKKKIIILLLNNNRRRUUUVVVTTTRRRPPP222444555555333222333444333333333444444444555555444444333222111111111111333333333333444444444444555444111///...///000000000000/////////000111222222111111111111000000000000000000///......------------------............---...///...------...///---...//////000000//////111111000///////////////111000//////......//////....../////////000000000///......---,,,------------------------,,,+++***************+++++++++,,,,,,,,,---............---------------------------...---------------......///...---,,,,,,+++++++++....../////////000000000//////............////////////......---------,,,...............//////000---,,,,,,++++++++++++,,,------...////////////......///000000000000///.........------,,,---------+++,,,---...............---------....../////////000000///////////////......---,,,,,,,,,---.../////////000000000000111111222222222222222111000000...............///000000///000111111222222111111........................000000000//////.........222444444444222111222333333333333333444444444444222222222222222111111111111222222333333333222222222222222222333333333333333333333222222222111111111111111111111111111111333444555777777777666666777888:::;;;;;;;;;:::999:::::::::;;;<<<===??????>>>??????@@@@@@@@@AAAAAAAAAAAA@@@@@@AAAAAABBBCCC@@@BBBCCCDDDCCCCCCEEEGGGIIIIIIHHHGGGGGGGGGHHHHHHGGGHHHJJJKKKLLLKKKJJJIIIDDDCCCAAA@@@??????@@@AAAAAABBBBBBCCCCCCCCCBBBBBBAAA@@@@@@AAABBBDDDFFFGGGIIIJJJLLLLLLIIIEEEAAA???FFFGGGIIIJJJLLLMMMMMMNNNNNNPPPTTTYYYZZZXXXSSSNNNHHHGGGFFFEEEFFFHHHJJJKKKNNNMMMJJJFFFBBB@@@AAABBBAAA@@@@@@??????@@@@@@AAABBBCCCEEEGGGJJJLLLNNNOOOMMMLLLIIIFFFDDDCCCCCCCCCFFFGGGIIIIIIHHHHHHJJJLLLLLLJJJIIIIIIJJJKKKKKKJJJIIIIIIHHHHHHGGGGGGFFFFFFFFFHHHIIIKKKKKKJJJHHHGGGCCCDDDFFFJJJOOOTTTVVVVVVPPPPPPPPPQQQSSSUUUWWWXXXVVVTTTRRRRRRRRRSSSRRRQQQNNNOOOQQQSSSTTTVVVVVVVVVZZZYYYWWWUUUTTTTTTTTTUUUSSSQQQNNNNNNOOOQQQQQQPPPNNNNNNNNNNNNOOOOOOOOOPPPMMMOOOQQQQQQOOONNNNNNOOOTTTVVVYYY\\\^^^^^^]]]\\\[[[[[[[[[]]]^^^___]]][[[VVVUUUSSSSSSUUUYYY^^^``````\\\VVVSSSRRRTTTUUUUUUPPPRRRRRRPPPKKKFFFDDDBBBFFFEEEEEEEEEEEEEEEFFFGGGGGGJJJNNNRRRUUUVVVVVVUUUUUUTTTTTTSSSRRRPPPNNNMMMIIIHHHGGGIIIKKKMMMMMMLLLJJJKKKNNNPPPQQQRRRRRRRRRMMMMMMMMMNNNOOOPPPRRRSSSVVVVVVUUUSSSQQQNNNLLLKKKLLLOOORRRTTTUUUTTTQQQPPP222444666777555333333333222333333333444444444444444333222222111111111222333333333333333333333333555444222000///000000111////////////000000111111111111111111000000000000000000//////............---------------------------...///...---------//////000000111111111111111111000000///////////////111111000///////////////........./////////000000//////...------------...---......------,,,+++***)))))))))*********++++++,,,,,,---...............---------------------------,,,,,,+++++++++,,,,,,++++++++++++,,,---...///........./////////000000.........------.........//////......------,,,,,,......------------...///******))))))))))))))))))------........./////////.........//////............------,,,++++++++++++***+++,,,---.../////////---------......//////000......////////////...---///...---,,,,,,,,,---...////////////000000000111111111222222222222111111...............///000000///000000111111111111111////////////////////////111000//////......//////111222333333111111222333222222333333333444444444222222111111000000000000000111111222222222222111222333333333333333444444333333333222222222111111000000000000000000000000222333444666666666666555666777999:::;;;;;;;;;:::::::::::::::<<<===>>>???>>>======>>>@@@BBBAAA@@@???????????????@@@@@@AAA@@@BBBDDDDDDDDDDDDFFFGGGIIIHHHHHHGGGFFFFFFFFFFFFEEEGGGJJJLLLMMMMMMKKKJJJDDDCCCAAA@@@??????@@@AAAAAAAAABBBCCCCCCCCCCCCBBBAAAAAAAAAAAABBBDDDFFFGGGIIIIIIKKKMMMNNNKKKFFFBBBHHHHHHGGGGGGHHHKKKNNNPPPQQQTTTXXX\\\\\\VVVNNNGGGBBBBBBCCCCCCDDDFFFGGGHHHJJJIIIGGGCCC???===>>>???@@@@@@????????????@@@@@@AAABBBDDDEEEGGGIIIKKKKKKKKKJJJHHHFFFDDDCCCBBBBBBCCCEEEGGGHHHGGGGGGIIIJJJLLLKKKJJJJJJJJJJJJIIIIIIKKKKKKKKKJJJJJJIIIIIIIIICCCDDDFFFGGGGGGFFFEEEDDDBBBBBBCCCGGGLLLOOOPPPPPPLLLMMMNNNOOOQQQRRRTTTUUUTTTSSSRRRQQQQQQQQQPPPPPPMMMNNNPPPQQQSSSTTTTTTTTTUUUTTTRRRQQQPPPPPPQQQQQQQQQOOOMMMMMMNNNNNNLLLKKKMMMMMMNNNOOOOOOPPPPPPPPPLLLNNNQQQRRRPPPOOONNNNNNOOORRRVVVZZZ[[[[[[YYYXXXXXXXXXYYY[[[]]]^^^]]][[[XXXWWWUUUTTTVVVZZZ___aaaccc^^^XXXTTTTTTUUUVVVWWWUUUVVVVVVSSSMMMHHHEEECCCGGGGGGGGGGGGGGGGGGGGGGGGHHHKKKPPPTTTWWWXXXXXXWWWUUUUUUTTTSSSQQQPPPNNNMMMGGGFFFFFFGGGJJJLLLNNNOOOJJJKKKMMMOOOPPPQQQQQQQQQPPPPPPPPPOOOOOOOOOOOOOOORRRRRRRRRQQQOOONNNLLLKKKLLLNNNQQQSSSTTTSSSQQQOOO222444666666444333222222222222222222333333333444333333222222111111222222333333333333333333333333444333222111000000000111......//////000000000000000000000000000000000000////////////............------------------,,,,,,---...///...---------/////////000111111111111111111000000///////////////111111000///////////////............//////////////////...------------..................---,,,,,,************++++++++++++------...////////////...------------------------------,,,+++++++++,,,,,,++++++++++++,,,---..................////////////......------------......//////.........---------------,,,++++++,,,,,,,,,******++++++++++++++++++---------------......///------------------------,,,,,,+++***))))))))))))***+++,,,---............------...//////000111111---...////////////......111000...---------.........////////////000000000000000111222222222222111...............///000000000000000000000111111111000000000000000000000000000////////////000111111///111222111000///000222222222222333333333444444333333111111000111111111///000111111222222222111222222222333333444444444333333333222222222111111000000000000000000000000111222444555666666666666666777888999::::::;;;;;;::::::::::::<<<===>>>???>>>======>>>@@@BBBAAA@@@>>>>>>>>>>>>>>>???@@@@@@AAACCCFFFFFFFFFEEEFFFGGGHHHGGGFFFEEEEEEEEEEEEEEECCCFFFIIILLLMMMMMMLLLKKKDDDCCCAAA@@@??????@@@AAAAAABBBCCCCCCDDDDDDDDDCCCCCCCCCBBBBBBCCCEEEGGGHHHHHHIIILLLOOOQQQPPPLLLHHHKKKIIIEEEDDDFFFLLLRRRWWW[[[]]]```bbb___VVVKKKCCC???@@@@@@BBBCCCDDDEEEFFFEEEEEEDDDAAA>>><<<<<<===@@@@@@@@@AAAAAA@@@@@@@@@AAAAAABBBDDDEEEFFFGGGHHHIIIHHHGGGEEEDDDCCCBBBBBBBBBDDDGGGHHHHHHGGGIIIJJJKKKKKKKKKJJJIIIHHHHHHHHHGGGGGGFFFFFFFFFFFFFFFFFFDDDDDDEEEFFFFFFEEEEEEDDDBBBBBBBBBCCCFFFHHHHHHGGGHHHHHHJJJLLLMMMOOOPPPPPPQQQQQQRRRQQQPPPOOONNNNNNNNNNNNPPPQQQSSSTTTTTTTTTPPPOOONNNNNNNNNOOOPPPQQQRRRPPPNNNMMMMMMLLLIIIGGGLLLMMMNNNPPPPPPQQQPPPPPPMMMPPPSSSSSSRRRPPPOOOOOONNNPPPTTTWWWYYYXXXVVVUUUVVVVVVWWWZZZ]]]^^^]]][[[YYYXXXVVVUUUVVVXXX\\\^^^ccc___YYYVVVUUUVVVWWWXXXXXXYYYYYYVVVQQQLLLHHHGGGIIIJJJJJJJJJKKKKKKKKKKKKKKKNNNQQQUUUXXXYYYYYYXXXVVVUUUTTTSSSQQQOOOMMMLLLEEEFFFFFFGGGIIIKKKOOOQQQOOOPPPPPPQQQQQQQQQQQQQQQTTTSSSSSSQQQPPPNNNMMMLLLOOOOOOOOONNNMMMLLLKKKJJJJJJLLLOOOQQQRRRRRRPPPPPP222444555444222111111111111111222222222333333333333333222222111222222333333333333333222222222222222222111000000000000000---...///000000000////////////000000000000000111//////////////////......------------,,,,,,,,,,,,---...///...------...///,,,---......//////......111111000///////////////111000//////......//////------.........////////////......---,,,---------------............------*********+++++++++,,,,,,------...///////////////------------------------///...............//////...---,,,++++++*********------........./////////......------------......////////////////////////---,,,++++++++++++++++++,,,---......///.........------,,,,,,------...///------,,,,,,,,,,,,------******))))))((()))))))))***+++,,,---------------------...///000111111222...///////////////000000333222000......---............////////////000000///000000111111111000000...............///000000000////////////000111222222222222222222222222222/////////000000111111111...///111000//////000111222222222222333333333333444333222111000111222222///000111222222222222222111111222222333333444444333333333222222222111111111111111111111111111111///111333555777888888888777777777888999::::::;;;:::::::::;;;<<<===??????>>>??????@@@@@@@@@AAAAAA??????>>>>>>??????@@@AAABBBEEEGGGHHHFFFEEEEEEFFFEEEEEEDDDCCCCCCCCCDDDDDDBBBDDDGGGIIIKKKKKKJJJJJJDDDCCCAAA@@@??????@@@AAABBBCCCDDDEEEEEEEEEEEEEEEEEEDDDDDDDDDEEEFFFHHHIIIGGGJJJMMMPPPQQQPPPNNNMMMLLLIIIEEEDDDGGGNNNVVV[[[bbbcccdddddd___VVVKKKCCC??????@@@@@@BBBCCCDDDEEEBBBCCCBBBAAA>>>======???AAABBBBBBCCCCCCBBBBBBAAA@@@@@@AAABBBCCCDDDDDDEEEFFFFFFFFFEEEEEEDDDDDDDDDBBBDDDHHHIIIIIIIIIJJJJJJIIIJJJLLLKKKIIIHHHHHHHHHEEEEEEEEEEEEEEEEEEEEEEEEEEEFFFGGGHHHIIIIIIIIIIIIDDDCCCBBBBBBCCCDDDBBBAAADDDEEEGGGIIIKKKLLLMMMMMMOOOPPPQQQQQQOOOMMMMMMMMMOOOOOOQQQRRRSSSTTTTTTTTTNNNNNNMMMMMMMMMNNNPPPQQQSSSQQQOOONNNNNNMMMKKKIIILLLMMMOOOPPPQQQQQQQQQPPPPPPRRRTTTTTTRRRQQQQQQRRRPPPRRRUUUWWWXXXXXXVVVUUUVVVVVVXXXZZZ]]]^^^]]]\\\VVVUUUTTTTTTTTTVVVXXXYYY```\\\XXXVVVVVVWWWWWWWWWYYY[[[[[[YYYTTTOOOLLLKKKMMMMMMNNNPPPPPPQQQPPPPPPPPPQQQSSSUUUWWWXXXXXXXXXVVVVVVUUUSSSQQQOOOMMMLLLGGGHHHHHHIIIIIILLLPPPTTTVVVVVVVVVUUUUUUTTTTTTTTTVVVVVVUUUSSSQQQOOOLLLKKKKKKKKKKKKKKKKKKJJJHHHHHHGGGIIILLLNNNPPPQQQPPPPPP222333333111///...///000111111111111222222222222333222222111222222333333333333333222222222111111111111000000000000//////---...///000000000///...////////////000000111111.../////////////////////---------,,,,,,,,,++++++---...///...------...///,,,---......//////......111111000///////////////000///......------......---------.........//////...------,,,,,,,,,,,,,,,***+++,,,---------------)))************+++++++++,,,,,,---............---------------------------...............///000111...---,,,+++************---------.........////////////............//////......//////000111111111...---,,,++++++++++++,,,+++,,,.../////////...---------,,,,,,,,,---...///---,,,+++******+++,,,---***)))))))))))))))***++++++,,,,,,---------,,,,,,+++,,,---...///000000111000000///...///000111222333222000///---------............/////////000000//////000000000//////..................///000000000//////...///000111222222222222222222222222222000000111222111000///......000111111000000111222111222222222222333333333444333111000///000111222///000111222333333333333000000111111222333333444333333333222222222111111222222222222222222222222...000222555888999::::::888777777888888999::::::;;;;;;;;;<<<===>>>@@@@@@>>>AAACCCBBB???>>>@@@CCC@@@@@@@@@@@@@@@AAAAAABBBCCCEEEGGGGGGFFFDDDCCCCCCBBBBBBAAAAAAAAABBBCCCCCCAAAAAACCCDDDFFFGGGGGGGGGDDDCCCAAA@@@??????@@@AAACCCDDDEEEFFFGGGGGGGGGGGGGGGFFFFFFEEEFFFGGGIIIJJJGGGKKKOOOPPPMMMLLLLLLNNNKKKIIIGGGGGGJJJOOOUUUYYYaaaaaaaaa```]]]UUUMMMGGGAAA@@@@@@@@@AAABBBDDDEEEAAABBBCCCBBB@@@@@@AAABBBCCCDDDEEEEEEEEEEEEDDDCCC@@@@@@@@@AAAAAABBBBBBBBBDDDDDDEEEEEEFFFFFFFFFFFFBBBEEEIIIKKKKKKKKKKKKLLLGGGIIILLLKKKIIIGGGHHHIIIFFFFFFFFFGGGGGGGGGGGGGGGCCCDDDFFFHHHJJJMMMNNNOOOFFFEEECCCCCCDDDDDDBBBAAACCCDDDFFFHHHJJJKKKKKKKKKMMMOOOQQQPPPNNNKKKKKKLLLOOOPPPQQQRRRSSSTTTTTTTTTQQQPPPNNNMMMMMMNNNOOOPPPQQQOOOMMMLLLMMMNNNMMMLLLKKKMMMOOOQQQRRRRRRQQQQQQQQQRRRSSSSSSQQQQQQRRRSSSSSSTTTUUUWWWWWWWWWVVVUUUUUUUUUVVVXXX[[[\\\[[[YYYRRRSSSSSSTTTVVVWWWXXXYYYZZZXXXVVVUUUVVVVVVUUUTTTXXXZZZ[[[YYYUUURRROOONNNPPPQQQSSSUUUVVVVVVVVVVVVTTTTTTTTTTTTUUUVVVVVVWWWVVVVVVUUUSSSQQQOOOMMMLLLJJJKKKLLLLLLLLLNNNSSSWWWYYYYYYXXXWWWWWWWWWWWWWWWWWWVVVUUUTTTQQQNNNKKKJJJIIIIIIIIIIIIHHHGGGFFFEEEDDDFFFIIILLLNNNPPPPPPPPP222222111///---,,,...000000111111111111222222222222222222111222222333333333333333222222111111111000000000000////////////,,,---///000000000///....../////////000000111111.........///////////////---------,,,,,,+++++++++---...///...------...///...//////000000000000000111111000/////////////////////...------------------------.........//////------,,,++++++++++++,,,((()))***+++,,,---------))))))))))))************++++++,,,---------,,,,,,------------------------+++++++++,,,---...///000************+++,,,---...---------.........////////////............//////......///000111222333333///...------,,,,,,,,,,,,)))***+++,,,---,,,,,,+++------,,,+++,,,---...///---,,,+++******+++,,,---***)))))))))***+++,,,,,,,,,,,,---------,,,++++++******+++,,,...//////000111000///...///000222444333222000...---,,,------............/////////000///////////////...------...............///000000000///.........///111222111111111111111111111111111222333333222000---+++///111222222111111222444111111222222222333333333333222000///...///111222000000111222333444444444//////000111222222333333333333333222222222111111222222222222222222222222---///222666999:::;;;<<<888888888777888888999:::<<<<<<<<<<<<===???@@@AAA>>>BBBEEECCC???===@@@DDDAAAAAA@@@@@@AAAAAABBBCCCBBBDDDGGGGGGEEEBBBAAAAAA@@@@@@@@@@@@AAAAAABBBCCC??????@@@AAABBBCCCDDDEEEDDDCCCAAA@@@???@@@@@@AAADDDDDDEEEGGGGGGHHHHHHHHHHHHGGGGGGGGGGGGHHHJJJKKKHHHMMMPPPOOOJJJHHHIIILLLJJJIIIIIIJJJMMMPPPSSSUUU]]]]]]\\\\\\ZZZUUUNNNJJJCCCBBB@@@@@@@@@BBBDDDFFFAAACCCDDDDDDCCCBBBCCCEEEDDDEEEFFFGGGGGGFFFEEEDDD???@@@@@@@@@@@@AAAAAAAAABBBCCCDDDFFFGGGGGGGGGGGGCCCFFFJJJLLLLLLLLLLLLMMMFFFIIILLLKKKIIIGGGHHHJJJEEEEEEEEEEEEEEEFFFFFFFFF???@@@CCCFFFJJJMMMPPPRRRHHHGGGEEEEEEFFFFFFEEECCCBBBDDDFFFIIIJJJKKKKKKKKKLLLOOOQQQPPPMMMKKKKKKLLLOOOPPPQQQRRRSSSSSSTTTTTTSSSRRRPPPOOONNNMMMNNNNNNMMMKKKIIIIIIKKKMMMMMMMMMKKKMMMOOOQQQRRRRRRRRRQQQRRRRRRSSSRRRPPPPPPRRRTTTTTTTTTTTTUUUUUUTTTTTTTTTRRRRRRSSSUUUWWWXXXWWWUUUQQQRRRUUUWWWYYYZZZ[[[[[[VVVTTTSSSTTTUUUUUUSSSRRRVVVXXXZZZYYYVVVRRRPPPPPPQQQSSSUUUXXXYYYZZZZZZZZZWWWVVVUUUTTTSSSTTTUUUVVVWWWVVVUUUSSSQQQOOOMMMKKKMMMOOOOOOOOONNNPPPUUUZZZXXXWWWWWWVVVVVVVVVWWWWWWVVVVVVUUUTTTQQQNNNKKKIIIHHHHHHHHHGGGFFFEEEDDDCCCBBBDDDGGGJJJMMMOOOPPPQQQ222222111111111111111111111111222222222333333333444333222111000000000000111000000000000000000000222222000///............////////////////////////---....../////////////////////...---,,,++++++***,,,,,,,,,++++++*********---------...///000000111111111000///...---,,,,,,000000///...............------............------......------------......+++++++++******))))))))),,,---...---+++***+++,,,,,,+++******)))*********---...///000000...,,,+++//////.........------------,,,,,,++++++,,,,,,------------,,,,,,+++++++++///...---,,,,,,---...///000000000000000000000000//////.........---------///...,,,+++++++++,,,,,,(((((()))+++,,,---...///333111---+++***,,,...000++++++************++++++***************++++++,,,,,,,,,+++++++++,,,...///---------......---------------...000111111111111333222000...---,,,------......///...,,,,,,...000////////////////////////......////////////......///...---,,,,,,---...///000000111111111222222222333333444333222000...---000///...------...///000444444333222333444666777222111111111000000//////111000///000222333444333333333222222333333444555444333222222333333111///000111111111111222222222///000333555777999:::;;;888888888888888888888888999:::<<<=========<<<<<<;;;;;;<<<>>>???@@@AAABBBDDDCCCBBBAAA@@@@@@???@@@BBBBBBBBBCCCCCCCCCDDDDDDBBBAAA@@@@@@??????@@@@@@???@@@AAABBBCCCDDDCCCCCCFFFEEECCCBBBBBBCCCDDDFFFGGGGGGHHHHHHHHHGGGGGGFFFFFFEEEDDDCCCDDDFFFHHHIIINNNNNNNNNMMMKKKIIIFFFEEEFFFFFFGGGHHHIIIMMMSSSWWWZZZ]]]]]]ZZZWWWUUUQQQLLLEEEBBB??????@@@AAAAAAAAA@@@AAACCCEEEFFFEEEDDDCCCGGGGGGFFFEEEDDDBBB@@@???@@@@@@???>>>>>>???@@@AAAGGGHHHHHHGGGDDDCCCCCCDDDEEEFFFHHHJJJKKKLLLMMMMMMLLLKKKKKKJJJJJJIIIHHHHHHDDDEEEEEEFFFFFFDDDCCCBBBBBBBBBCCCEEEGGGIIIKKKLLLJJJKKKMMMMMMKKKIIIHHHHHHJJJJJJLLLOOOQQQPPPNNNKKKOOOOOOOOONNNNNNNNNMMMMMMPPPPPPPPPQQQRRRRRRSSSSSSMMMNNNOOOPPPQQQQQQQQQQQQMMMMMMMMMMMMLLLJJJIIIHHHOOOMMMKKKKKKMMMOOOOOOOOOOOOPPPQQQRRRSSSRRRQQQPPPRRRRRRQQQPPPOOOOOONNNNNNPPPPPPPPPNNNNNNOOORRRTTTUUUUUUUUUVVVXXXYYY[[[\\\\\\XXXTTTQQQQQQRRRSSSSSSUUUXXXZZZYYYVVVSSSSSSTTTUUUTTTTTTUUUWWWZZZ]]]___\\\YYYVVVTTTRRRSSSTTTUUUWWWWWWUUURRROOONNNPPPRRRQQQTTTUUUSSSOOOOOORRRWWWWWWVVVVVVVVVWWWVVVSSSQQQPPPQQQSSSRRRNNNIIIFFFEEEGGGEEECCCBBBCCCDDDCCCBBBDDDEEEFFFJJJNNNQQQRRRQQQ000000000000111222333333222222222222333333333333444333222111000000000000000000000000000000111111222111000///............////////////////////////------...///////////////---------------,,,,,,,,,,,,,,,,,,+++++++++******---------...///000000000/////////...............000//////...------......------............------......------------......,,,,,,+++++++++*********)))***++++++))))))***+++***)))))))))***+++,,,,,,+++,,,---......,,,***)))///.........---------,,,---,,,,,,++++++,,,,,,------------,,,,,,+++++++++///...---,,,,,,---...///////////////////////////......------------,,,,,,...---,,,+++******+++,,,((())))))***+++,,,------***))))))))))))***++++++++++++************++++++***))))))))))))***++++++***))))))((()))***+++,,,))))))************))))))...///000111111111111111222111///...---------------......---,,,,,,---///////////////////////////......////////////......///...------------...///000000000111111111222222333333333333222000...---///......---...///000111111111111111111222333444000000000000/////////...111///...///111333333222333333333333333444555555555333222333333333111///000000111111111222222222000222444666888:::;;;;;;888888888888888888888888999:::;;;<<<<<<<<<<<<<<<======>>>>>>>>>?????????CCCBBBAAA@@@????????????>>>>>>??????@@@AAABBBBBBAAA@@@@@@???????????????===>>>>>>???@@@@@@AAAAAADDDCCCBBBAAAAAABBBCCCCCCEEEFFFFFFFFFFFFFFFEEEEEEDDDCCCBBBAAAAAACCCDDDFFFIIIJJJJJJJJJIIIGGGEEEDDDGGGHHHIIIIIIIIIKKKOOORRRVVVZZZ[[[XXXVVVVVVRRRMMMGGGDDDAAA@@@AAABBBBBBAAAAAABBBDDDFFFGGGFFFEEEEEEGGGFFFFFFEEEDDDBBB@@@??????>>>>>>======>>>??????BBBCCCEEEEEEDDDDDDFFFHHHGGGHHHIIIJJJKKKKKKKKKJJJJJJJJJJJJJJJIIIIIIIIIIIIFFFFFFGGGGGGFFFDDDCCCBBB@@@@@@AAACCCFFFHHHJJJLLLLLLMMMNNNMMMJJJHHHGGGHHHOOOPPPRRRTTTSSSQQQOOONNNOOOOOONNNNNNNNNMMMMMMMMMQQQQQQRRRRRRSSSSSSTTTTTTSSSSSSRRRQQQPPPNNNMMMLLLLLLLLLLLLLLLLLLKKKKKKKKKKKKIIIHHHHHHJJJLLLLLLLLLMMMMMMOOOPPPQQQQQQQQQQQQQQQPPPPPPOOONNNNNNMMMMMMOOOOOOOOOMMMLLLLLLOOOQQQSSSSSSSSSTTTVVVWWWYYYYYY[[[WWWSSSPPPPPPQQQQQQQQQQQQTTTWWWWWWUUUTTTSSSTTTRRRRRRRRRSSSUUUYYY\\\^^^]]][[[YYYVVVUUUUUUVVVWWWUUUUUUSSSQQQNNNMMMNNNPPPRRRTTTVVVSSSPPPOOOSSSWWWYYYWWWTTTSSSSSSRRRQQQPPPMMMPPPRRRQQQOOOLLLJJJIIIGGGEEEDDDCCCDDDEEEDDDCCCDDDDDDFFFJJJNNNRRRSSSRRR/////////000111222333444222222333333333444444444333222111111000000000000/////////000000111111111111111000///............////////////////////////------...////////////...+++,,,,,,,,,---------...,,,,,,,,,++++++++++++***---------...//////000000---------.........////////////...---------......,,,------......------,,,...------,,,,,,------...,,,,,,,,,,,,++++++++++++(((***+++***))))))***+++((((((((()))***,,,---...)))***+++,,,+++***)))(((......------------,,,,,,,,,,,,++++++++++++,,,,,,------,,,,,,,,,,,,++++++......------------......---------------------------,,,,,,,,,,,,+++++++++,,,,,,+++************+++)))))))))*********++++++)))***+++,,,---,,,+++***++++++************++++++)))))))))))))))******+++)))))))))((())))))***+++***++++++,,,,,,++++++***///000000111111111000000000///...---------------,,,---...---,,,+++,,,...////////////////////////......////////////......///...------------...///000000000000111111111111222222222222111000...---------------...///111222000111111222222222222222000////////////.........000///......000222222111333333333444444444555555555444333333444444222000000000000111111111222222222333555777999:::;;;;;;999999999999999999999999999999999::::::;;;<<<===?????????>>>>>>=========BBBAAA@@@??????>>>>>>???;;;;;;;;;;;;<<<===>>>????????????>>>>>>>>>======;;;;;;::::::;;;<<<===>>>@@@@@@@@@AAAAAAAAA@@@@@@CCCCCCDDDDDDDDDDDDCCCCCCAAA@@@>>>=========???@@@BBBCCCEEEFFFFFFFFFEEEDDDHHHIIIJJJIIIIIIIIIKKKMMMRRRVVVYYYXXXWWWWWWSSSNNNJJJGGGCCCAAAAAABBBBBBAAABBBCCCEEEFFFGGGGGGFFFEEEFFFFFFFFFEEEDDDBBBAAA@@@??????>>>>>>>>>>>>?????????AAACCCCCCCCCDDDFFFHHHIIIIIIJJJJJJJJJIIIIIIHHHHHHIIIIIIIIIIIIJJJJJJJJJHHHHHHHHHGGGFFFDDDCCCBBB>>>???@@@BBBEEEGGGJJJKKKPPPPPPOOOLLLHHHFFFFFFGGGKKKNNNRRRSSSPPPMMMMMMMMMNNNNNNNNNNNNNNNMMMLLLLLLOOOOOOPPPPPPQQQRRRRRRSSSTTTTTTSSSRRRPPPNNNMMMLLLLLLLLLKKKJJJKKKLLLMMMNNNHHHGGGEEEFFFHHHJJJKKKJJJIIIJJJJJJLLLNNNPPPRRRSSSOOOOOOOOONNNNNNMMMMMMLLLNNNOOONNNLLLJJJIIIKKKMMMQQQRRRSSSTTTUUUWWWXXXXXXZZZVVVQQQOOONNNNNNNNNNNNLLLOOOSSSUUUTTTSSSSSSSSSNNNNNNOOOQQQTTTXXX[[[]]]bbb```\\\YYYWWWUUUUUUVVVSSSSSSRRROOOMMMLLLMMMNNNRRRTTTUUUSSSPPPPPPSSSVVVYYYVVVRRRPPPOOOPPPPPPOOOPPPRRRTTTSSSPPPMMMKKKKKKIIIGGGFFFFFFGGGHHHGGGFFFEEEEEEFFFIIINNNQQQRRRRRR000000000000000111222333222333333333333444444444222222111000000000000000......//////000111111111111000///...............////////////////////////,,,---......//////......,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++---------....../////////------------------------......---------------...,,,,,,------------,,,,,,------,,,,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,,,,------,,,*********+++))))))))))))***+++,,,---)))******++++++***))))))------,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------------------,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++************+++************************)))))))))))))))))))))------......---,,,+++***++++++************++++++))))))(((((())))))***+++++++++++++++++++++++++++++++++,,,,,,,,,,,,++++++/////////000//////............------------------***,,,------,,,++++++---........................---......//////......---.........------........./////////000000000111111111111111000000//////...,,,,,,,,,---...000222444222222444555555444333222000000000000000/////////000...---...000111111000222222333444444444444444555444333444444444222000000000000000111111111111222333444666888999999:::999999999999999999999999999888888888999:::<<<===???>>>>>>>>>============@@@??????>>>======>>>>>>;;;;;;:::999999::::::;;;======>>>=========<<<<<<:::999888777777999;;;<<<<<<===???@@@AAA@@@>>>===@@@@@@AAABBBBBBBBBBBBAAA???>>>;;;:::999999:::;;;>>>???AAACCCEEEEEEEEEEEEFFFGGGIIIIIIHHHHHHIIIJJJQQQVVVZZZYYYYYYXXXTTTNNNKKKHHHDDDAAAAAAAAA@@@@@@BBBCCCDDDEEEFFFFFFEEEEEEFFFFFFEEEEEEDDDBBBAAA@@@AAA@@@@@@@@@????????????@@@AAACCCCCCBBBBBBCCCDDDHHHIIIIIIJJJJJJIIIIIIHHHGGGHHHHHHIIIJJJJJJKKKKKKKKKJJJIIIHHHFFFDDDBBBAAA??????@@@BBBEEEGGGJJJKKKRRRQQQOOOKKKGGGEEEEEEFFFEEEKKKPPPPPPMMMJJJKKKMMMMMMMMMNNNNNNNNNMMMLLLKKKKKKKKKLLLLLLMMMNNNNNNNNNOOOOOOPPPQQQQQQQQQQQQQQQNNNMMMKKKJJJJJJKKKMMMOOOHHHFFFEEEFFFHHHJJJKKKKKKFFFFFFGGGIIIKKKOOORRRTTTPPPOOOOOOOOONNNNNNMMMMMMOOOOOOOOOLLLJJJHHHIIIJJJRRRRRRTTTUUUWWWXXXXXXYYYWWWTTTPPPMMMLLLLLLLLLKKKIIILLLPPPRRRSSSQQQPPPOOOKKKLLLNNNPPPTTTWWWZZZ\\\eeebbb^^^ZZZVVVSSSRRRRRRRRRRRRRRRPPPMMMLLLMMMNNNQQQRRRRRRQQQOOOOOOQQQTTTUUUSSSQQQPPPQQQRRRQQQPPPWWWXXXXXXVVVRRRNNNKKKKKKLLLJJJIIIIIIKKKLLLLLLKKKIIIHHHHHHJJJMMMOOOOOOOOO222222111000////////////222222222333333333444444111111000000///000000000......//////000000000000000//////...............////////////////////////,,,------..................------,,,++++++******++++++++++++++++++++++++------------.....................---,,,+++++++++------,,,,,,,,,,,,------++++++,,,,,,,,,,,,++++++,,,,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---......,,,***(((((()))++++++***************+++******+++++++++++++++***++++++,,,,,,,,,,,,,,,,,,,,,++++++******++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++*********)))))))))*********************************)))))))))))))))******)))))))))***+++,,,++++++************++++++)))))))))))))))******+++++++++,,,,,,,,,+++++++++(((((())))))))))))((((((,,,---------------,,,+++---------------,,,,,,,,,***,,,------,,,++++++,,,------------------------------............---------..................---....../////////000000000000000//////////////////,,,,,,,,,,,,...000333444222333444444444333222111111111111111111111111111000///......000111000000111111222333444333333222555444333333444333111000//////000000000111111111111222333555666777777777888888888888888888888888777777666777888:::<<<===<<<<<<<<<===>>>>>>??????>>>>>>===<<<<<<<<<======>>><<<:::888777777888888<<<============<<<;;;::::::999777666777888:::;;;:::<<<>>>@@@@@@???>>><<<>>>???@@@AAAAAAAAAAAAAAA>>>===:::888777888888999<<<>>>@@@CCCEEEFFFFFFFFFBBBDDDFFFGGGFFFGGGHHHJJJSSSYYY]]]]]]\\\ZZZUUUOOOJJJGGGCCCAAA@@@@@@???>>>AAAAAABBBCCCDDDDDDDDDDDDEEEEEEEEEEEEDDDCCCAAAAAA@@@@@@@@@??????>>>>>>===???@@@BBBBBBAAAAAACCCDDDFFFGGGHHHIIIJJJJJJJJJJJJHHHHHHIIIIIIJJJKKKLLLLLLLLLKKKIIIGGGEEECCCBBBBBB@@@AAABBBCCCEEEHHHJJJKKKQQQPPPNNNJJJFFFCCCDDDEEEIIINNNSSSRRRMMMIIIJJJLLLKKKLLLMMMNNNMMMLLLKKKJJJHHHIIIIIIJJJKKKKKKLLLLLLKKKLLLNNNOOOQQQRRRSSSSSSQQQOOOMMMKKKJJJKKKLLLMMMHHHFFFEEEEEEGGGIIIJJJJJJEEEEEEFFFHHHKKKNNNRRRTTTPPPPPPPPPPPPOOOOOOOOOOOOPPPQQQPPPNNNKKKIIIIIIJJJOOOPPPRRRTTTUUUVVVVVVVVVTTTQQQNNNLLLKKKKKKJJJIIIJJJKKKMMMOOOPPPOOOMMMKKKKKKLLLNNNPPPSSSVVVYYYZZZ^^^\\\ZZZWWWTTTSSSRRRQQQRRRSSSSSSQQQOOONNNNNNOOOOOOOOOOOONNNMMMMMMOOOQQQOOOOOOQQQTTTVVVWWWUUUSSSYYYZZZZZZXXXTTTQQQOOOOOOOOOMMMLLLMMMOOOPPPPPPOOONNNLLLJJJJJJKKKLLLKKKKKK333222111000///.........111111222222222333333333111000000//////000000000//////////////////////////////......---......///////////////////////////,,,,,,---............---......---,,,+++***))))))***++++++++++++,,,,,,,,,------------------------///...---,,,+++******))),,,,,,+++++++++,,,------***++++++,,,,,,++++++***,,,++++++******++++++,,,++++++++++++,,,,,,,,,,,,+++,,,,,,***'''&&&&&&&&&,,,++++++***))))))******+++++++++++++++,,,,,,,,,******++++++++++++,,,,,,++++++************++++++++++++,,,,,,,,,,,,------,,,,,,------------,,,,,,+++++++++++++++++++++++++++************))))))))))))***++++++,,,+++++++++*********************))))))(((((()))+++---000111++++++************++++++***************++++++,,,******+++++++++***))))))******++++++++++++*********++++++,,,,,,,,,++++++,,,---------,,,,,,+++******,,,...///---,,,,,,,,,------------------------------............------------...//////...------............///////////////...............///000,,,,,,,,,---...000222444111111111111111111000///111111222222222222222333111000...///000111111000111222333444555444333222444333222222333333111////////////000000000111111111222333444555666666666777777777777777777777777555555666666888999;;;<<<999:::;;;<<<>>>???@@@AAA<<<<<<;;;;;;;;;;;;<<<<<>>===<<<;;;::::::999888777777888999:::;;;<<<>>>@@@AAA@@@???>>>>>>???@@@AAAAAABBBBBBAAA???===;;;999888999:::;;;===>>>AAACCCEEEFFFFFFFFF@@@BBBCCCDDDDDDFFFHHHKKKSSSZZZ___```___]]]WWWPPPJJJGGGCCC@@@@@@@@@???>>>@@@AAAAAABBBBBBCCCDDDDDDEEEEEEEEEEEEDDDCCCBBBAAA>>>>>>>>>>>>>>>===<<<;;;<<<>>>@@@AAABBBCCCEEEGGGFFFFFFGGGIIIIIIJJJJJJJJJIIIIIIJJJKKKLLLLLLMMMMMMKKKJJJHHHFFFDDDCCCBBBBBBBBBBBBCCCDDDEEEGGGHHHIIIMMMMMMLLLIIIEEECCCCCCDDDLLLOOOQQQOOOJJJFFFDDDDDDJJJKKKMMMNNNMMMLLLJJJHHHHHHHHHIIIJJJJJJKKKKKKLLLKKKLLLMMMOOOPPPPPPPPPPPPQQQPPPNNNLLLKKKKKKKKKKKKHHHFFFDDDDDDFFFGGGHHHGGGFFFGGGHHHJJJLLLOOOQQQRRRPPPPPPPPPPPPPPPPPPPPPPPPQQQQQQQQQOOOLLLJJJIIIJJJJJJKKKNNNPPPQQQRRRQQQQQQRRROOOLLLKKKKKKKKKJJJIIIJJJIIIJJJKKKMMMNNNLLLJJJLLLMMMNNNPPPRRRTTTUUUVVVSSSSSSRRRRRRRRRSSSSSSTTTRRRSSSTTTSSSPPPOOOOOOPPPNNNMMMLLLLLLLLLLLLMMMNNNLLLNNNQQQVVVYYYZZZWWWUUUUUUVVVWWWWWWUUUTTTTTTUUUOOONNNMMMNNNPPPRRRRRRRRRRRROOOLLLJJJJJJJJJIIIHHH222111000///////////////000000000111111111222222000000////////////000000000000000///......------.........------......///////////////////////////+++,,,------......---------,,,,,,,,,++++++************+++++++++,,,,,,,,,---------------------------,,,,,,,,,++++++******+++++++++++++++,,,------******++++++++++++******++++++************++++++*********+++++++++,,,,,,((()))***)))((('''((()))*********)))******++++++************++++++,,,---************+++++++++,,,++++++************+++++++++++++++,,,,,,---------+++,,,------------,,,+++,,,,,,,,,,,,,,,,,,,,,,,,+++++++++*********)))))))))***+++,,,------,,,+++*********+++++++++++++++***+++,,,---.........---++++++************+++++++++++++++++++++,,,,,,---+++,,,,,,---,,,+++***)))------............------)))***+++,,,,,,,,,,,,,,,------------,,,+++)))(((***---///000...---,,,---,,,,,,,,,,,,,,,,,,,,,,,,,,,------......------,,,------...//////...------------........./////////......---------...///000------,,,---...000222333222222111000000000000000000000111111222222222222333111//////111222111000222333555666777666555444333222111111222111///...////////////000000000111333333444555666666666555666666666666666666666666333444555777888999::::::999:::;;;<<<>>>???@@@@@@;;;;;;::::::::::::;;;;;;<<<;;;999777666888999;;;;;;<<<>>>>>>>>>===;;;:::888888888888888888888888<<<===???@@@AAAAAAAAA@@@??????AAABBBBBBCCCCCCCCC@@@???===;;;;;;;;;===>>>>>>???AAACCCEEEEEEEEEEEEAAABBBBBBBBBAAACCCGGGJJJQQQXXX___aaaaaa```ZZZSSSJJJGGGCCCAAAAAAAAAAAA@@@AAAAAAAAABBBCCCCCCDDDEEEEEEEEEEEEEEEDDDCCCBBBAAA@@@@@@AAAAAA@@@???===<<<===???AAABBBBBBCCCEEEGGGGGGHHHHHHIIIIIIIIIHHHHHHKKKKKKLLLLLLMMMMMMNNNNNNJJJIIIGGGEEECCCBBBBBBBBBCCCCCCCCCCCCDDDEEEFFFFFFHHHIIIJJJHHHFFFCCCCCCCCCIIIJJJKKKKKKJJJGGGDDDBBBIIIKKKLLLNNNMMMKKKIIIHHHGGGGGGGGGHHHIIIIIIJJJJJJKKKLLLMMMMMMNNNNNNNNNNNNNNNNNNNNNMMMMMMLLLLLLLLLJJJHHHFFFEEEFFFGGGGGGGGGHHHIIIJJJLLLNNNOOOPPPPPPOOOOOOOOOOOOOOOOOOOOOOOOPPPQQQQQQOOOLLLJJJIIIJJJGGGIIIKKKNNNOOOOOOOOONNNOOOMMMKKKKKKKKKLLLKKKJJJIIIGGGFFFHHHLLLNNNNNNMMMLLLMMMNNNOOOPPPPPPQQQQQQNNNOOOOOOPPPPPPQQQRRRRRRQQQSSSTTTSSSQQQOOOPPPPPPOOOMMMLLLKKKLLLMMMMMMNNNMMMNNNQQQTTTXXXYYYXXXVVVRRRSSSUUUUUUTTTSSSTTTVVVNNNMMMLLLMMMPPPRRRRRRRRRSSSPPPLLLJJJIIIIIIHHHGGG000////////////000000111///000000000000111111111000000////////////000111111111000///...---,,,,,,......---------......///////////////////////////+++,,,------......------***++++++++++++,,,,,,,,,*********++++++,,,,,,,,,------------------------***++++++++++++,,,,,,,,,+++*********+++,,,,,,---******++++++++++++******++++++************++++++)))))))))******+++++++++''')))***+++******,,,...(((((())))))***+++------******))))))***+++,,,,,,))))))******+++++++++,,,++++++************+++++++++++++++,,,,,,---------++++++------------++++++,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++***************+++,,,---...------,,,******+++++++++,,,,,,,,,***+++,,,---+++'''### ++++++************++++++,,,,,,++++++,,,,,,---.........///000///...,,,+++***++++++,,,,,,++++++***)))***+++,,,---.........------------,,,***((('''+++---000111///---------,,,,,,,,,,,,,,,,,,,,,,,,,,,------......------,,,,,,---...//////...---,,,---------.........//////...---,,,,,,---...000111...---------...///111222555444222111111111222333//////000000111111111222333222000000111222222111444555777888999888777555222111000111111111///---////////////000000000000444555555666777777666666555555555555555555555555111333555777999999999999::::::;;;<<<===>>>??????:::::::::999999:::;;;;;;999888666666666888;;;===<<<===>>>??????===;;;:::777888888999888888777666>>>>>>???@@@AAABBBBBBBBB???@@@AAABBBCCCDDDDDDDDDBBB@@@>>>======>>>???@@@>>>???AAACCCDDDDDDDDDCCCCCCCCCBBB@@@@@@BBBEEEIIINNNVVV]]]```bbbaaa\\\UUUKKKHHHDDDCCCCCCCCCCCCBBBCCCBBBBBBCCCCCCDDDEEEFFFDDDEEEEEEEEEDDDCCCBBBBBBDDDDDDEEEEEEDDDBBBAAA@@@AAABBBCCCCCCAAAAAABBBCCCIIIIIIIIIIIIHHHGGGFFFEEEMMMMMMMMMMMMNNNNNNNNNNNNIIIHHHFFFDDDBBBBBBBBBBBBCCCCCCBBBBBBBBBCCCDDDDDDDDDFFFHHHHHHFFFDDDCCCCCCHHHHHHJJJMMMPPPPPPMMMKKKIIIJJJLLLNNNMMMKKKIIIGGGDDDDDDDDDEEEFFFFFFGGGGGGHHHIIIKKKLLLNNNNNNOOOOOOLLLLLLMMMNNNNNNNNNNNNMMMNNNLLLIIIHHHIIIJJJIIIIIIIIIJJJMMMNNNPPPPPPOOOOOONNNNNNNNNNNNNNNNNNNNNNNNNNNPPPPPPOOOLLLJJJIIIIIIHHHJJJLLLOOOPPPPPPOOOOOONNNLLLKKKKKKLLLLLLKKKJJJHHHEEEDDDFFFKKKOOOPPPOOOMMMMMMNNNNNNNNNNNNMMMMMMPPPPPPPPPOOONNNNNNMMMMMMQQQRRRSSSSSSQQQOOOOOOPPPOOONNNLLLKKKMMMNNNNNNNNNPPPPPPPPPRRRUUUWWWWWWVVVSSSTTTTTTSSSQQQPPPQQQRRRLLLKKKKKKLLLOOOQQQQQQQQQRRROOOLLLJJJIIIJJJIIIIII111111111111000000000000111111111111111111111111000000000000000000000000000000111222111///---+++/////////...---------,,,,,,,,,,,,------------...,,,,,,,,,,,,------...///,,,,,,+++******+++,,,,,,,,,,,,++++++,,,,,,---......,,,+++,,,///111///---,,,,,,,,,+++++++++******)))+++,,,---------...///,,,++++++******++++++,,,))))))*********+++++++++++++++************++++++***,,,...---)))'''((()))((()))***,,,,,,+++******))))))***+++,,,,,,------******)))))))))***,,,---+++((('''(((+++,,,***((())))))*********+++++++++------------------------------,,,,,,+++***))))))))))))***+++,,,,,,,,,,,,,,,+++***)))***+++---///---,,,+++************+++,,,+++++++++******))))))************************,,,,,,,,,,,,,,,,,,,,,,,,""")))///---'''%%%)))///***+++---...///...------,,,,,,,,,,,,---...//////---,,,,,,++++++,,,,,,---...------------...//////,,,,,,,,,,,,,,,,,,,,,,,,,,,+++,,,...111111...+++---......//////...------+++,,,---.........------//////---,,,,,,---...///,,,---...///000111222222555444333111000/////////222222222222222222222222222222222222111111111000...333888999777555444555333222222111000///......333222000//////111333444222222444444444444333222666666777777777777777777888777666555555666777888:::999888999;;;=========999::::::;;;;;;:::::::::999999999999999999999999<<<=========<<<;;;::::::888888777666666777888999>>>???@@@AAAAAAAAAAAAAAAAAAAAAAAABBBBBBCCCCCCCCCBBBAAA???@@@AAABBBBBBAAA???AAACCCCCCBBB@@@@@@AAAAAA@@@@@@???@@@AAACCCDDDOOOTTT[[[bbbdddbbb]]]ZZZNNNKKKGGGFFFGGGHHHIIIIIIEEEDDDDDDCCCCCCCCCDDDDDDCCCDDDDDDCCCAAA??????@@@AAA@@@@@@@@@@@@@@@@@@AAA@@@BBBDDDDDDCCCBBBCCCDDDGGGGGGGGGFFFGGGGGGHHHHHHLLLJJJIIIJJJMMMPPPQQQRRRQQQNNNKKKHHHGGGFFFEEECCCCCCAAA>>><<<<<>>>>>???AAAAAA@@@@@@@@@BBBCCCDDDLLLQQQXXX^^^```^^^YYYVVVNNNKKKHHHGGGGGGIIIIIIHHHDDDDDDCCCCCCCCCCCCDDDDDDAAABBBBBBAAA?????????@@@@@@@@@????????????@@@@@@@@@BBBDDDDDDCCCCCCCCCCCCEEEEEEEEEEEEFFFGGGHHHIIILLLKKKIIIJJJLLLNNNOOONNNMMMJJJHHHGGGGGGGGGGGGFFFEEECCCAAA@@@???AAACCCDDDFFFGGGHHHGGGEEECCCCCCDDDDDDFFFHHHIIIHHHHHHIIIJJJLLLLLLKKKJJJIIIHHHGGGGGGEEEEEEEEEEEEFFFHHHIIIKKKKKKJJJJJJJJJKKKLLLMMMMMMMMMMMMMMMMMMNNNPPPRRRSSSSSSOOOMMMPPPOOOKKKIIILLLKKKLLLMMMNNNOOOOOOOOOOOOPPPOOOMMMKKKKKKMMMOOOPPPSSSRRROOOLLLJJJHHHGGGFFFLLLLLLMMMOOOPPPPPPNNNLLLLLLJJJGGGGGGIIILLLNNNOOONNNMMMKKKJJJJJJKKKKKKLLLMMMMMMMMMMMMMMMMMMLLLLLLKKKMMMOOOPPPQQQQQQPPPOOOTTTTTTTTTSSSSSSQQQPPPPPPMMMNNNOOOPPPRRRSSSTTTUUUPPPQQQSSSTTTUUUVVVXXXYYYUUUVVVUUUTTTRRRRRRSSSUUUKKKJJJJJJIIIJJJKKKLLLMMMPPPNNNKKKIIIGGGFFFFFFFFF111111000000000000//////........................000000000000000000000000///000111111000///---,,,------------............------------...............---,,,,,,,,,,,,,,,---,,,++++++******++++++,,,+++++++++++++++,,,------,,,+++***+++---...---,,,*********)))))))))((((((((())),,,///222333444444++++++************++++++++++++******************++++++************++++++***,,,---,,,***(((((()))((((((((((((((())))))*********++++++++++++++++++*********)))******+++,,,000///---,,,---,,,+++)))---,,,,,,+++******))))))------,,,,,,+++++++++***,,,,,,,,,+++******))))))***+++,,,---............+++***)))((((((((()))***,,,,,,,,,---,,,,,,+++************)))))))))))))))++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,***(((''')))+++***+++,,,,,,,,,,,,,,,,,,))))))))))))***+++,,,,,,------,,,,,,,,,,,,------//////...---,,,+++******,,,,,,,,,,,,,,,,,,,,,,,,///...///000222222000...,,,++++++***+++,,,---......---,,,,,,,,,---/////////......------...//////...//////000111222333333555444333222111000000000////////////////////////111111000000000/////////444333333333333333111/////////000000111111111111000///.........000111222555555555555444333111000444444444444444333333333555555444444444555555666666555444555888:::::::::;;;;;;;;;;;;;;;:::999888::::::::::::::::::999999::::::;;;<<<<<<<<<;;;;;;???===:::888888999;;;<<<===>>>???@@@AAABBBCCCCCC>>>>>>????????????@@@@@@CCCAAA@@@@@@AAABBBBBBAAA===???@@@@@@???>>>>>>???BBBAAAAAAAAAAAACCCDDDFFFIIIMMMTTTYYYZZZXXXTTTQQQLLLJJJHHHGGGHHHHHHGGGFFFDDDDDDCCCCCCCCCCCCDDDDDDCCCBBBBBBAAA@@@@@@@@@@@@?????????>>>>>>????????????AAADDDEEEDDDCCCBBBCCCBBBBBBBBBCCCEEEFFFHHHIIIKKKJJJHHHIIIKKKLLLLLLKKKGGGFFFEEEEEEGGGHHHHHHHHHFFFEEEDDDCCCCCCCCCCCCCCCCCCEEEGGGGGGEEEEEEEEEFFFGGGHHHJJJJJJJJJKKKMMMOOOOOOMMMKKKIIIGGGFFFFFFFFFGGGFFFFFFFFFGGGIIIJJJKKKNNNMMMMMMLLLLLLLLLMMMMMMNNNOOOQQQRRRSSSSSSSSSSSSQQQOOONNNPPPPPPMMMMMMOOOLLLLLLMMMNNNOOOOOOOOOOOOPPPOOOLLLKKKLLLNNNQQQSSSSSSQQQNNNKKKHHHFFFEEEDDDNNNMMMNNNOOOQQQQQQOOOMMMKKKIIIGGGHHHJJJMMMOOOPPPPPPOOOMMMKKKJJJIIIIIIIIIPPPPPPPPPPPPOOONNNMMMMMMJJJKKKLLLNNNOOOQQQRRRRRRUUUUUUUUUTTTTTTSSSQQQQQQOOOOOOOOOOOOQQQSSSUUUVVVSSSSSSTTTTTTUUUUUUUUUUUUUUUVVVXXXWWWUUUTTTUUUVVVNNNMMMJJJHHHHHHIIIKKKLLLQQQPPPMMMKKKIIIGGGFFFFFF111000000000////////////------------------------000000000000000000000000//////000000//////------,,,,,,,,,------.........,,,------------.........)))******+++,,,...///000+++++++++++++++++++++++++++++++++***+++,,,,,,---+++++++++++++++,,,+++++++++*********))))))))))))***,,,///333777999999999++++++************+++++++++++++++***************++++++************++++++***+++,,,+++***)))))))))))))))((('''''')))***+++++++++++++++******************************++++++......---------,,,,,,+++++++++******))))))((((((.........---,,,,,,++++++,,,+++++++++******)))))))))***+++,,,------------...---,,,+++*********+++++++++,,,------,,,+++***))))))))))))))))))))))))************************++++++++++++++++++++++++...,,,)))((()))***+++,,,++++++++++++++++++++++++++++++++++++,,,---......------,,,,,,,,,,,,------------------,,,+++******++++++,,,,,,,,,,,,------...//////000000000///......---,,,+++,,,...000222///...,,,+++,,,---///111...............////////////000000111222222333333555444333222111111111111000000000000000000000000000000000000////////////444111...///222333111///000000000000000000111111......------...///000111333333333333333222222222333333222222222222222111444444333444444444555555555444444555888:::::::::<<<<<<<<<<<<;;;:::999888999999999999888888888888888999:::;;;;;;;;;;;;;;;???===:::888777999;;;<<<@@@@@@?????????>>>???????????????????????????@@@AAA???======>>>???>>>===???AAABBBAAA@@@???@@@AAABBBAAAAAAAAABBBDDDEEEGGGHHHKKKPPPUUUVVVTTTPPPNNNJJJHHHGGGGGGGGGGGGEEECCCDDDCCCCCCCCCCCCDDDDDDEEEGGGFFFEEEEEEDDDCCCBBB@@@??????>>>>>>>>>>>>??????>>>AAADDDFFFEEECCCBBBBBBBBBBBBBBBBBBCCCDDDEEEFFFHHHGGGFFFGGGIIIKKKKKKJJJEEEDDDCCCDDDFFFHHHHHHGGGFFFFFFEEEEEEDDDCCCBBBAAAAAACCCFFFFFFFFFFFFGGGHHHJJJKKKKKKKKKKKKMMMPPPSSSNNNLLLJJJHHHGGGHHHIIIJJJGGGFFFFFFFFFGGGHHHJJJKKKPPPOOOOOOOOOOOOPPPPPPQQQOOOQQQTTTVVVWWWVVVTTTRRRRRRQQQQQQQQQOOOMMMMMMOOOLLLMMMNNNOOOOOOPPPPPPOOOPPPNNNLLLKKKLLLOOOSSSVVVTTTRRRNNNKKKHHHFFFFFFFFFKKKKKKKKKNNNQQQRRRQQQPPPOOOLLLJJJIIIJJJKKKLLLKKKMMMLLLKKKJJJJJJKKKLLLMMMRRRRRRSSSRRRQQQPPPOOONNNLLLLLLLLLMMMNNNPPPRRRSSSSSSTTTTTTUUUUUUTTTTTTSSSQQQPPPOOONNNOOOQQQSSSTTTVVVVVVWWWXXXWWWUUUQQQMMMTTTVVVXXXYYYWWWUUUTTTTTTPPPNNNJJJGGGFFFGGGJJJKKKQQQPPPOOOMMMJJJHHHGGGFFF000000000////////////...........................///////////////////////////////////////......---+++,,,,,,,,,------......,,,,,,,,,,,,------------*********+++,,,---//////+++++++++++++++++++++++++++************+++,,,,,,+++++++++++++++***++++++,,,,,,+++++++++*********+++,,,...333888;;;:::888+++******))))))******+++************************++++++************+++++++++******+++++++++***)))+++***)))((()))***+++,,,+++******************************+++******************++++++,,,,,,------((()))***,,,...///111111---,,,,,,,,,++++++******++++++***************)))((()))***++++++,,,,,,+++------,,,++++++***************++++++++++++++++++)))))))))))))))*********))))))))))))))))))))))))++++++++++++++++++++++++---***((((((+++...///...,,,+++++++++++++++++++++++++++++++++,,,---...///...------,,,,,,------...++++++,,,------,,,,,,++++++++++++,,,,,,---------......//////............///...,,,+++,,,...000111///...---,,,,,,...000111---......//////000000000000000000111222222333333444444333222111111111111000000000000000000000000000000000000////////////111...,,,---000333333111222222111111000//////...---------......///000111//////000111222333444444333333222222222111111111222333333444444444444444666555444666888;;;;;;;;;;;;<<<<<<<<<;;;;;;:::999======<<<<<<;;;;;;;;;:::888888999:::;;;;;;;;;:::===;;;999777777888:::;;;???>>>============>>>>>>AAAAAAAAAAAAAAAAAAAAAAAAAAA???======>>>>>>>>><<>>>>>>>>>>>?????????AAADDDEEEDDDCCCBBBCCCCCCCCCBBBBBBAAABBBBBBBBBCCCCCCCCCFFFIIIKKKKKKKKKFFFEEEDDDEEEFFFFFFEEEDDDCCCCCCDDDDDDCCCAAA@@@???@@@BBBEEEFFFFFFGGGHHHJJJLLLMMMMMMMMMMMMNNNQQQTTTPPPNNNLLLJJJIIIIIIJJJKKKFFFFFFEEEEEEFFFGGGHHHIIIMMMMMMMMMNNNOOOPPPRRRSSSOOOQQQTTTWWWWWWVVVTTTRRRTTTUUUUUURRRNNNLLLLLLLLLLLLLLLMMMNNNOOOOOOOOOOOOOOONNNLLLKKKMMMPPPSSSVVVVVVTTTPPPMMMJJJIIIIIIJJJJJJIIIJJJKKKNNNPPPOOONNNPPPNNNKKKJJJKKKKKKKKKJJJJJJJJJJJJJJJKKKLLLNNNOOOSSSTTTTTTUUUTTTRRRPPPOOOPPPOOONNNMMMNNNOOOQQQRRRPPPQQQRRRSSSTTTUUUUUUUUURRRQQQOOOMMMMMMNNNOOOPPPVVVXXX[[[___```\\\TTTNNNSSSUUUXXXXXXVVVSSSRRRRRRPPPNNNJJJGGGEEEFFFHHHIIINNNNNNNNNNNNLLLJJJHHHGGG000000////////////......////////////////////////////////////////////////........................,,,,,,,,,,,,------------++++++++++++,,,,,,,,,,,,...---,,,++++++************++++++,,,,,,++++++******************+++,,,,,,+++,,,---,,,*********+++,,,,,,,,,++++++++++++***))))))+++000666777555222******))))))))))))******))))))*********+++++++++++++++************+++++++++***)))***,,,,,,***(((***************++++++,,,))))))*********************++++++++++++***))))))''')))***+++***+++,,,...------,,,,,,++++++******)))))))))***************************************'''((()))***++++++++++++************))))))))))))***))))))))))))***++++++***************+++++++++))))))))))))))))))))))))+++++++++++++++++++++++++++))))))***,,,///000000---,,,,,,++++++++++++,,,************+++,,,------......------------......***+++,,,.........---,,,***++++++,,,,,,------...---...///...---,,,---...------++++++++++++,,,---///...---------...000000------///000000000000000000000000111111111222222333222111111000000111111////////////////////////111111000000000/////////...---,,,---000222333333333333222111000///......,,,------...///000111111......///000222444555666444444333333222222111111222222333444555555555555666555555666999<<<<<<<<<;;;;;;<<<<<<<<<<<<;;;;;;<<<<<<;;;;;;::::::999999888888999:::::::::999999:::999888777777888999::::::::::::;;;===???BBBCCCCCCCCCCCCBBBBBBBBBBBBAAACCCBBB@@@???@@@@@@???>>>>>>>>>???>>><<<<<<>>>@@@@@@@@@@@@@@@BBBDDDFFFGGGIIIKKKOOORRRSSSSSSQQQPPPKKKIIIGGGEEEFFFEEEDDDCCCCCCCCCBBBCCCCCCDDDEEEFFFIIIIIIJJJLLLNNNLLLEEE@@@?????????>>>>>>?????????@@@BBBDDDDDDCCCBBBCCCDDDDDDCCCBBBAAAAAAAAAAAAAAAAAAAAABBBEEEIIIKKKLLLKKKHHHFFFEEEEEEFFFEEECCCAAA@@@AAAAAAAAA@@@???>>>>>>???BBBDDDFFFFFFGGGIIIJJJLLLMMMNNNNNNMMMNNNPPPRRRSSSQQQOOOLLLJJJHHHHHHHHHGGGFFFEEEEEEEEEGGGHHHIIIIIIIIIIIIJJJLLLMMMOOOPPPPPPQQQRRRSSSTTTTTTSSSRRRUUUXXXXXXRRRLLLJJJJJJIIIKKKKKKLLLMMMNNNNNNNNNNNNMMMMMMLLLLLLMMMOOORRRSSSVVVSSSPPPMMMKKKKKKLLLMMMMMMKKKJJJJJJKKKLLLJJJIIIKKKJJJIIIJJJMMMNNNNNNNNNLLLLLLKKKJJJJJJKKKLLLMMMSSSTTTUUUVVVUUUTTTRRRPPPSSSRRRQQQOOOOOOOOOPPPQQQNNNOOOPPPQQQSSSTTTTTTTTTQQQPPPOOOMMMMMMMMMNNNNNNTTTVVV\\\cccgggeee^^^XXXTTTVVVXXXWWWTTTQQQPPPOOONNNLLLIIIFFFDDDEEEFFFGGGIIIKKKMMMNNNNNNLLLKKKIII000000/////////.........////////////////////////////////////////////////.........------......///------,,,,,,,,,,,,,,,,,,))))))*********+++++++++///...---+++***)))))))))***+++,,,,,,,,,,,,+++******************++++++,,,+++---...---***)))***,,,++++++++++++************))))))***///444555111,,,******))))))))))))******(((((()))***+++,,,,,,---++++++************+++++++++))))))***,,,,,,***(((((())))))***************(((((())))))******++++++***++++++,,,+++***)))((((((***,,,+++***)))+++---000///---+++(((&&&$$$###*********+++,,,,,,------))))))))))))************(((((()))***++++++++++++((())))))************)))***)))'''&&&&&&(((***,,,***+++++++++,,,,,,,,,,,,***************************************************+++,,,,,,------...//////...---+++++++++,,,---++++++++++++,,,---...///......------------......,,,---...//////...,,,+++******+++,,,,,,---.........000111///---,,,---///---------,,,,,,++++++***............////////////,,,---///000111111000000//////000000000000111111111111000000//////000000000000000000000000000000222222111111111000000000,,,...///000///000111222222111111111000000//////,,,---...///000111111111111111111111333555666888666666555444444333222222111222444555666666666555555444444666999<<<<<<<<<999:::;;;<<<============::::::999888888777777666888999999999999888888777666777888999999:::::::::;;;:::;;;<<<>>>AAADDDFFFCCCCCCCCCCCCBBBBBBAAAAAADDDBBB@@@@@@@@@AAA@@@???>>>>>>>>>===<<<<<<>>>@@@????????????AAACCCEEEFFFHHHJJJNNNQQQSSSSSSSSSRRROOOLLLIIIGGGGGGGGGGGGFFFBBBBBBBBBCCCCCCDDDEEEFFFHHHIIIMMMSSSWWWUUUNNNGGG@@@@@@????????????@@@@@@BBBCCCCCCBBBAAABBBDDDFFFCCCCCCBBBAAAAAAAAABBBBBBAAAAAACCCFFFIIIKKKJJJIIIHHHGGGFFFFFFFFFEEEBBB@@@?????????>>>>>>>>>>>>>>>???BBBDDDFFFFFFGGGHHHJJJLLLMMMOOOOOONNNMMMMMMNNNPPPPPPNNNLLLKKKIIIHHHGGGHHHHHHGGGFFFFFFHHHIIIJJJHHHHHHHHHIIIJJJKKKLLLMMMQQQPPPOOOOOOOOOPPPQQQRRRSSSYYYYYYQQQJJJIIIJJJHHHJJJJJJKKKLLLMMMMMMMMMMMMLLLLLLLLLMMMNNNOOOPPPPPPRRRPPPMMMJJJIIIJJJLLLMMMMMMKKKIIIIIIJJJKKKJJJIIIHHHGGGHHHJJJNNNQQQQQQQQQMMMLLLKKKJJJJJJKKKLLLMMMRRRSSSUUUWWWVVVUUUSSSQQQSSSSSSRRRQQQQQQQQQQQQQQQNNNNNNOOOPPPPPPPPPPPPPPPNNNNNNNNNOOOOOOOOOPPPPPPRRRSSSWWW___fffgggbbb]]]WWWXXXXXXWWWSSSPPPNNNNNNKKKJJJHHHFFFDDDDDDDDDDDDEEEGGGJJJMMMOOONNNMMMKKK000/////////....................................////////////////////////......---------......///---------,,,,,,+++++++++((())))))))))))*********---,,,++++++******++++++***+++,,,------,,,+++************)))***++++++,,,,,,...///...+++)))+++---************)))))))))))),,,***+++///444555000+++******))))))))))))******''''''(((***+++,,,---...++++++************+++++++++)))(((***,,,---+++(((&&&''')))*********)))((('''(((((()))***++++++,,,***+++,,,,,,+++***)))(((***,,,---,,,***)))***,,,******+++,,,---...//////,,,------...///000111111)))))))))))))))*********))))))***+++,,,,,,,,,,,,)))***+++,,,,,,,,,,,,,,,***(((%%%$$$$$$'''***,,,+++++++++,,,,,,---------,,,,,,,,,,,,,,,,,,,,,,,,***************************,,,//////---,,,---...000///---,,,+++,,,------............///000111111......------------.........///000000///---+++)))******+++,,,,,,---......000111222000---,,,...111000000000///...---+++***---......///000/////////,,,---///000111111111000////////////000000000000111000///////////////000222222222222222222222222222222222222111111111111,,,///222222///...///111000000000000111111111111,,,---...000111222222222555444333333444555777888777777666555555444333333111333444666777777666666555444333555888;;;<<<<<<999999;;;<<<======>>>>>>======<<<<<<;;;:::999999999999999999999888777666555666888:::;;;;;;;;;:::???>>>>>>>>>???AAADDDFFFCCCCCCCCCBBBBBBAAAAAAAAACCCAAA???>>>??????>>>===@@@@@@@@@???===>>>@@@BBB>>>>>>>>>???@@@CCCEEEFFFHHHJJJMMMPPPRRRSSSSSSSSSSSSOOOKKKHHHHHHIIIIIIIIIBBBBBBBBBCCCCCCEEEFFFFFFIIILLLQQQZZZ```___WWWOOOAAAAAA@@@@@@@@@@@@AAAAAACCCCCCCCCAAA@@@AAADDDGGGAAAAAAAAAAAABBBBBBCCCDDDCCCCCCDDDFFFIIIJJJIIIGGGHHHGGGFFFGGGGGGFFFCCC@@@???>>>>>>===>>>>>>???@@@@@@BBBEEEFFFFFFGGGHHHJJJKKKMMMOOOOOONNNLLLKKKLLLKKKKKKKKKLLLKKKKKKJJJIIIJJJIIIHHHHHHHHHIIIJJJKKKKKKKKKJJJJJJJJJJJJKKKKKKQQQOOOMMMLLLLLLNNNPPPRRRQQQXXXYYYPPPIIIIIIJJJHHHIIIJJJKKKLLLLLLMMMMMMMMMKKKKKKMMMNNNNNNNNNNNNNNNOOOMMMJJJHHHGGGHHHKKKMMMJJJIIIHHHIIIKKKMMMMMMMMMHHHHHHHHHKKKNNNQQQQQQQQQKKKJJJJJJJJJKKKLLLNNNOOOQQQSSSUUUWWWWWWVVVSSSRRRSSSSSSSSSSSSSSSSSSSSSRRROOOOOOOOOOOONNNMMMLLLLLLLLLMMMNNNPPPQQQRRRSSSSSSRRRQQQSSSYYY___bbb___[[[YYYZZZYYYWWWSSSPPPNNNNNNIIIHHHGGGEEEDDDDDDCCCCCCAAADDDIIIMMMOOOOOONNNMMM//////000000///...------......---------,,,,,,,,,------------------------......------------......++++++++++++++++++++++++,,,+++***))))))***+++,,,++++++++++++++++++++++++******+++++++++******)))******)))))))))))))))*********+++++++++,,,,,,,,,+++++++++++++++++++++++++++,,,------------,,,+++---,,,***)))))))))***+++%%%&&&'''(((***,,,---...+++++++++***************+++******)))((('''''''''))))))))))))))))))))))))************************((())))))***++++++,,,,,,))))))******+++++++++,,,++++++++++++++++++++++++,,,,,,,,,,,,------...///++++++++++++++++++++++++,,,,,,++++++++++++++++++,,,+++)))***+++---,,,,,,+++++++++++++++++++++++++++,,,---...///111222222++++++++++++++++++++++++---,,,+++*********+++,,,------------...000111222---------,,,,,,+++++++++++++++,,,,,,---...//////---...///////////////...---...///000///...,,,***---.........---,,,,,,+++...+++((())),,,......,,,///...,,,++++++,,,...///,,,---.../////////...---,,,,,,,,,---------......222111000//////000111222...///000111111000///...////////////000111222333333111---******+++---///000000000111222222333333444333222111000000000000000000000111222222333333444333333333333444555555777777666555555555555555888888777666666666666666888777666666666888999:::888:::<<<<<<::::::<<<>>>;;;:::999888777777777777777777777666555555555444444666888999:::999777666999:::;;;<<<>>>???@@@@@@EEEEEEDDDCCCBBBAAA@@@???<<<<<<;;;;;;;;;<<<===============>>>>>>>>>>>>>>>@@@@@@@@@@@@AAACCCEEEGGGFFFHHHKKKNNNQQQTTTVVVVVVRRROOOKKKIIIHHHGGGFFFDDDFFFFFFFFFBBB??????CCCGGGLLLKKKMMMSSS[[[```___\\\FFFDDD@@@===<<<===???AAA@@@@@@@@@AAABBBCCCDDDEEEDDDCCCDDDFFFHHHHHHFFFDDDGGGFFFDDDCCCDDDGGGIIIKKKGGGGGGGGGGGGEEEDDDCCCBBB======<<<<<<===>>>@@@AAADDDFFFHHHHHHGGGFFFFFFGGGMMMLLLKKKJJJJJJJJJJJJJJJJJJJJJIIIIIIIIIIIIJJJJJJJJJJJJIIIHHHGGGGGGFFFFFFIIIKKKLLLKKKHHHGGGIIIKKKLLLKKKJJJJJJKKKNNNRRRTTTUUUUUUOOOHHHDDDGGGHHHGGGGGGHHHIIIKKKKKKLLLLLLLLLKKKKKKKKKKKKKKKKKKKKKJJJJJJJJJIIIHHHGGGGGGGGGGGGKKKGGGDDDEEEHHHJJJKKKJJJJJJJJJJJJJJJKKKLLLNNNNNNNNNNNNMMMMMMLLLMMMMMMMMMQQQSSSUUUUUUTTTSSSSSSSSSNNNMMMNNNQQQUUUXXXWWWUUURRRQQQNNNLLLJJJHHHGGGGGGEEEJJJQQQUUUWWWVVVUUUUUUVVVUUUTTTTTTUUUXXX[[[]]]VVVYYYYYYVVVPPPKKKJJJJJJFFFGGGHHHIIIHHHGGGFFFEEEDDDEEEIIILLLOOONNNJJJGGG///////////////...------.........---------,,,,,,------------------------------,,,,,,,,,,,,------++++++++++++++++++++++++++++++************++++++************************)))******+++++++++************))))))))))))***************+++++++++,,,,,,++++++++++++++++++++++++***+++,,,------,,,+++***+++***))))))(((((())))))''''''(((***+++,,,---...*********))))))((((((((((((((((((((((((((((((((())))))))))))))))))))))))************************'''((()))***+++,,,------+++++++++***************++++++++++++++++++++++++++++++*********++++++,,,++++++++++++++++++++++++)))))))))))))))))))))))))))'''&&&&&&((())))))(((,,,,,,,,,+++++++++++++++))))))***+++,,,---......+++++++++++++++++++++++++++++++++***++++++,,,,,,,,,,,,---......//////000---,,,,,,,,,,,,,,,,,,++++++,,,,,,------...............////////////......+++,,,...//////...---,,,,,,,,,------,,,++++++***---,,,***+++---......---///...,,,++++++,,,---...,,,---...000000000///////////////000000000111111111000000//////000000111...///000000000000///...////////////000111222333666444222000///000111222......//////000000111111111111000///............//////000111222222333333111222222333555777999:::999888777777666666777777777777666555555555555666777666666555666777888999444777::::::999999;;;===:::999888777666666666666666666666666555555555555555666777888888888777666888999:::;;;<<<>>>>>>???AAAAAAAAA@@@??????>>>>>><<<<<<;;;;;;;;;;;;;;;<<<<<<<<<======>>>????????????>>>>>>>>>???AAACCCDDDFFFHHHKKKOOOSSSVVVYYYZZZTTTQQQMMMJJJIIIHHHGGGEEEFFFFFFEEECCC@@@@@@DDDGGGJJJHHHHHHMMMSSSWWWVVVTTTFFFDDDAAA>>>===>>>@@@AAA@@@@@@@@@@@@AAACCCDDDEEEFFFEEEEEEGGGIIIIIIGGGFFFFFFEEECCCCCCCCCEEEGGGIIIGGGGGGGGGFFFDDDCCCAAA@@@???>>>======>>>???@@@AAABBBDDDEEEEEEDDDCCCDDDEEEIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIHHHHHHHHHHHHIIIIIIJJJJJJIIIHHHGGGGGGFFFFFFGGGIIIKKKJJJHHHFFFGGGHHHJJJIIIIIIIIIKKKNNNQQQSSSVVVVVVQQQIIIEEEFFFHHHFFFHHHIIIJJJKKKLLLMMMMMMMMMIIIHHHHHHHHHHHHIIIIIIIIIJJJIIIHHHHHHGGGGGGGGGGGGJJJGGGDDDDDDGGGIIIIIIIIIIIIIIIIIIIIIJJJKKKLLLMMMMMMMMMMMMLLLMMMMMMMMMNNNOOOQQQTTTTTTTTTSSSSSSTTTRRRQQQQQQRRRUUUWWWUUUSSSRRRQQQOOOMMMJJJHHHGGGFFFFFFJJJOOOSSSTTTUUUWWWXXXUUUTTTRRRQQQQQQRRRTTTVVVUUUVVVUUUSSSNNNJJJHHHGGGEEEFFFGGGHHHHHHHHHGGGFFFIIIJJJLLLOOOQQQPPPMMMKKK...////////////...------//////.........---------------------------------,,,,,,++++++++++++,,,,,,+++++++++++++++++++++++++++++++++,,,,,,+++++++++))))))))))))))))))))))))((()))***+++++++++++++++***)))))))))))))))***************++++++++++++,,,++++++++++++++++++++++++******++++++++++++******(((((())))))(((((('''&&&))))))***++++++,,,------******)))(((((('''&&&&&&%%%&&&&&&'''((())))))***))))))))))))))))))))))))************************''''''((()))***,,,,,,---,,,,,,++++++***)))))))))++++++++++++++++++++++++++++++******)))*********++++++++++++++++++++++++))))))))))))))))))))))))+++***((()))+++,,,,,,+++,,,,,,,,,,,,,,,,,,,,,,,,)))*********++++++++++++,,,,,,++++++************)))***++++++,,,,,,,,,,,,***+++,,,.........------+++,,,,,,,,,,,,,,,,,,---------------------------///////////////...---,,,***+++,,,...//////...---++++++,,,,,,++++++******+++,,,......---------...///...---+++++++++,,,---,,,---...000000111111111000000000111111111111111//////000000000000//////---...////////////...---////////////000111222222333222111000////////////......//////000111111111000000///...------------...///000111222333444444222222333444666888:::;;;:::999999999888888888888666555555444444444444444555555555444555555666777555777:::;;;:::999::::::888888777666555555555555555555555555555555666666555555666666666777777777666777888999:::<<<======<<<<<<<<<<<<===============<<<;;;::::::::::::::::::;;;<<<===>>>@@@AAAAAA@@@?????????@@@AAACCCDDDIIIJJJKKKMMMPPPSSSVVVXXXVVVSSSOOOLLLJJJIIIGGGEEEEEEFFFEEEDDDBBBBBBDDDFFFIIIFFFEEEGGGKKKNNNNNNLLLFFFEEEBBB@@@??????@@@AAA@@@@@@???@@@AAACCCDDDEEEHHHGGGGGGHHHJJJJJJIIIGGGEEEEEECCCCCCCCCDDDEEEFFFGGGGGGFFFEEEDDDBBB@@@???@@@@@@?????????@@@@@@AAA@@@AAABBBBBB@@@@@@AAABBBCCCDDDFFFHHHHHHHHHHHHGGGHHHHHHHHHGGGGGGHHHHHHHHHJJJJJJIIIIIIHHHHHHGGGGGGHHHJJJLLLLLLJJJGGGFFFFFFHHHGGGGGGHHHJJJNNNQQQSSSWWWXXXTTTLLLGGGGGGHHHGGGJJJKKKLLLMMMOOOOOOOOOOOOIIIIIIGGGGGGGGGHHHIIIJJJIIIIIIHHHGGGGGGGGGHHHHHHHHHFFFDDDDDDFFFGGGGGGGGGHHHHHHHHHIIIIIIJJJKKKKKKKKKKKKLLLLLLMMMMMMNNNNNNPPPRRRTTTUUUUUUUUUVVVWWWWWWUUUTTTUUUVVVVVVTTTSSSUUUTTTRRRPPPMMMKKKIIIIIIHHHKKKNNNQQQSSSUUUXXX[[[ZZZXXXVVVSSSRRRRRRSSSTTTTTTSSSPPPNNNMMMJJJFFFDDDDDDEEEFFFHHHHHHHHHGGGGGGHHHHHHIIIKKKNNNNNNMMMKKK.........//////...------/////////.........------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++,,,,,,++++++++++++++++++++++++***+++,,,------,,,+++***************************'''((()))***+++,,,,,,,,,))))))))))))))))))***+++************++++++++++++************************))))))************))))))'''((()))***)))((('''&&&******************+++++++++***))))))((('''&&&&&&&&&&&&&&&'''(((((())))))))))))))))))))))))))))))************************))))))))))))************++++++******************++++++++++++++++++++++++...---,,,+++++++++++++++************************+++++++++++++++,,,,,,,,,...,,,++++++---......---,,,,,,,,,,,,,,,------------------------,,,,,,,,,,,,,,,++++++******))))))''')))***,,,------,,,,,,(((***,,,---...---+++***+++++++++,,,,,,---------------------------,,,,,,///000//////...---,,,+++***+++,,,---------------++++++,,,,,,,,,,,,++++++)))---000000---+++,,,...///...---,,,++++++++++++,,,,,,---...///000000111........................---...000000000000...------..................---///......//////000111222///////////////...------000111111222222333444444222111000//////...............///111222333444555555555555555555666666777::::::::::::999999888888555444333333222222333333444444444444444444444555888999;;;;;;;;;999888777777666666555444444555555444444444555555666666777555555555444555666777777555555666888999:::;;;<<<::::::;;;;;;<<<===============<<<:::999999999999999:::;;;===???AAACCCDDDDDDCCCBBBBBBCCCDDDEEEFFFLLLLLLLLLLLLLLLNNNOOOPPPWWWTTTOOOLLLJJJHHHFFFDDDEEEEEEEEEEEEDDDEEEEEEFFFHHHFFFDDDEEEHHHKKKKKKKKKGGGFFFDDDBBBAAAAAAAAABBB@@@?????????@@@BBBEEEFFFIIIGGGGGGHHHIIIIIIHHHGGGFFFFFFEEEEEEDDDEEEEEEEEEFFFFFFFFFFFFEEEDDDCCCBBB@@@@@@@@@@@@@@@@@@@@@@@@@@@AAAAAA@@@>>>>>>???@@@@@@BBBDDDGGGIIIIIIHHHHHHIIIIIIHHHHHHHHHHHHIIIIIIKKKKKKKKKKKKJJJJJJJJJJJJKKKMMMOOOPPPNNNKKKIIIGGGGGGGGGGGGIIILLLOOORRRTTTYYY[[[XXXPPPJJJIIIIIIHHHLLLMMMOOOPPPQQQRRRSSSSSSOOOMMMKKKIIIHHHHHHIIIJJJIIIHHHHHHHHHHHHHHHIIIIIIGGGFFFEEEEEEEEEFFFFFFFFFHHHHHHIIIIIIJJJJJJJJJJJJIIIJJJKKKLLLMMMMMMNNNNNNRRRTTTVVVVVVUUUUUUWWWXXXYYYXXXWWWVVVVVVVVVVVVUUUYYYXXXVVVTTTRRROOOMMMKKKJJJMMMQQQTTTUUUWWWXXXZZZ\\\ZZZXXXVVVUUUTTTUUUUUUUUUQQQMMMLLLLLLJJJFFFBBBCCCDDDFFFGGGHHHHHHHHHGGGFFFFFFFFFIIILLLNNNOOONNN------............------///.........------------,,,,,,,,,,,,,,,,,,,,,,,,------,,,,,,,,,,,,------++++++++++++++++++++++++******,,,------,,,******++++++++++++++++++++++++'''((()))***+++,,,,,,,,,))))))(((((()))***++++++))))))*********+++++++++************************))))))))))))))))))))))))((()))***+++***)))((('''(((((())))))))))))))))))++++++***))))))(((''''''(((((((((((((((((((((((())))))))))))))))))))))))************************++++++******)))(((((('''(((((()))***++++++,,,,,,++++++++++++++++++++++++---,,,++++++******************************************+++++++++,,,,,,,,,,,,+++)))***+++---,,,,,,+++++++++,,,,,,---------............------------+++++++++******)))))))))''')))***,,,------,,,,,,((()))+++------,,,***)))+++++++++,,,,,,---------------------------,,,,,,////////////...---++++++,,,,,,,,,,,,,,,++++++***,,,,,,---------------,,,)))---000000---++++++---------,,,,,,++++++++++++++++++,,,,,,---...//////---------------------------...///000000///...---.........------.....................///000111222000111111222111111000///111111111222333333444444222111000//////............///000111222333444444444444333333444444555666999999:::::::::999888777444444333222222222222222333444444444444333333333444555666888999:::999888777666666555555555555666555555555666666777777777555555555444555666777777444555666777999:::;;;;;;:::;;;<<<===>>>??????@@@>>>===<<<;;;:::999999999:::;;;<<>>>>>???BBBEEEGGGHHHGGGEEEFFFGGGGGGGGGEEEGGGGGGHHHHHHHHHGGGGGGFFFEEEEEEFFFGGGGGGGGGGGGFFF??????@@@@@@@@@AAAAAA@@@AAABBBBBB@@@>>>>>>???AAA???AAADDDGGGJJJJJJJJJJJJJJJJJJIIIIIIIIIIIIJJJJJJLLLLLLLLLMMMMMMMMMMMMMMMMMMMMMOOOPPPPPPMMMJJJHHHGGGHHHIIIKKKMMMPPPSSSUUUYYY]]]\\\TTTLLLKKKKKKJJJNNNOOOPPPRRRSSSTTTUUUUUUSSSQQQOOOLLLJJJIIIHHHHHHIIIHHHHHHHHHIIIJJJKKKKKKHHHHHHGGGGGGEEEEEEEEEFFFIIIIIIJJJKKKKKKKKKJJJJJJHHHIIIJJJLLLMMMMMMMMMLLLRRRSSSTTTTTTSSSSSSTTTUUUXXXXXXWWWWWWVVVWWWXXXYYYYYYYYYWWWUUURRROOOMMMKKKLLLPPPVVVYYYYYYXXXWWWWWWXXXWWWUUUTTTTTTTTTTTTUUUVVVRRRNNNLLLLLLKKKHHHDDDCCCDDDEEEGGGHHHHHHGGGGGGGGGGGGHHHJJJOOORRRTTTTTT,,,,,,---............---......---------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------,,,,,,,,,,,,------++++++++++++++++++++++++*********++++++*********++++++++++++++++++++++++((()))***+++++++++++++++(((((((((((()))***+++,,,)))))))))************+++******************************))))))))))))******)))*********))))))((((((''''''((((((((((((((((((******))))))))))))(((((()))))))))))))))((((((((())))))))))))))))))))))))************************++++++***)))((((((''''''''''''(((***+++,,,---...++++++++++++++++++++++++))))))((((((((((((((((((************************((((((((()))******++++++...,,,++++++---......---)))******++++++,,,,,,---,,,,,,,,,,,,++++++++++++************************)))***++++++,,,,,,,,,,,,)))***+++,,,,,,+++******+++,,,,,,,,,,,,,,,,,,---------------------------...............---,,,+++------,,,++++++***)))))),,,,,,---.........------+++,,,...---,,,++++++,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,---...////////////............------............------//////...------...//////............///000111111...//////000000///......//////000000111222222222000000///...------------000000000111222222333333000000111222444666888999999:::;;;;;;;;;:::888777444333333222222222222222333444444444444333222222//////000333777:::;;;;;;888777777666666777777888777777777777777777888888555555666666666777777777555666777888999;;;<<<<<<======>>>???@@@AAABBBBBB>>>===<<<;;;;;;;;;;;;;;;;;;<<<>>>@@@CCCEEEGGGHHHGGGGGGEEEDDDDDDEEEFFFFFFIIIJJJMMMOOORRRSSSTTTUUUSSSPPPLLLIIIGGGFFFDDDBBBDDDDDDEEEGGGIIIIIIHHHFFFCCCCCCDDDEEEFFFHHHIIIJJJGGGGGGGGGGGGFFFDDDCCCBBB???>>>======???BBBEEEGGGHHHFFFDDDDDDEEEFFFEEEDDDGGGHHHJJJKKKKKKJJJIIIHHHEEEEEEFFFGGGHHHHHHHHHHHH???@@@AAABBBCCCCCCCCCCCCCCCCCCCCCAAA???>>>@@@BBB???AAADDDGGGIIIKKKKKKLLLKKKJJJJJJIIIIIIJJJJJJKKKLLLLLLMMMMMMNNNNNNOOOOOOLLLLLLLLLMMMNNNNNNKKKHHHHHHIIIJJJLLLNNNPPPSSSTTTWWW\\\]]]UUUMMMKKKKKKKKKMMMNNNOOOQQQSSSTTTUUUUUUSSSRRRQQQNNNLLLIIIGGGFFFIIIIIIIIIJJJKKKLLLMMMNNNIIIJJJKKKIIIGGGFFFFFFGGGIIIJJJKKKLLLLLLKKKJJJIIIHHHIIIJJJLLLLLLLLLKKKKKKNNNOOOPPPOOOOOOOOOQQQSSSWWWWWWXXXWWWVVVWWWZZZ\\\XXXWWWVVVUUUQQQNNNKKKIIIKKKPPPWWWZZZ[[[YYYWWWVVVXXXXXXWWWWWWWWWWWWWWWWWWVVVSSSPPPNNNLLLKKKIIIHHHCCCDDDEEEGGGGGGGGGFFFFFFFFFEEEFFFIIIMMMPPPQQQQQQ+++,,,------.........------,,,,,,,,,,,,+++++++++++++++++++++++++++++++++,,,,,,++++++++++++,,,,,,++++++++++++++++++++++++***))))))(((((())))))***************************)))******+++++++++******(((((((((((()))***+++,,,))))))))))))************************************+++***))))))))))))***+++))))))(((((('''''''''(((''''''(((((())))))******''''''(((((((((((())))))(((((())))))******++++++))))))))))))))))))))))))************************))))))))))))))))))))))))(((((()))***+++,,,,,,---++++++++++++++++++++++++(((((('''''''''((())))))************************'''(((((()))******++++++...---,,,,,,...//////...(((((()))******+++,,,,,,************++++++++++++(((((())))))******+++++++++++++++***++++++,,,,,,++++++++++++++++++++++++---,,,,,,,,,,,,,,,,,,++++++,,,,,,------.........---------......---,,,,,,+++++++++************+++++++++,,,------------------,,,******++++++******)))***++++++,,,,,,,,,,,,///...---,,,+++,,,------000000000000/////////......------------------...000000///......///000000...............///111111------------------......///000000111111222222333111111000///............111111111111111111111111111111222333555777888::::::;;;<<<======;;;:::888444444333222222222222333444444555555555444222222444111000222666:::<<<<<<999999999888888999999:::999999999888888888888888555666777888888888777666777777888999;;;<<<===>>>??????@@@AAABBBCCCCCCDDD>>>======<<<<<<<<<======>>>???@@@BBBEEEGGGHHHIIIJJJIIIHHHGGGFFFFFFGGGHHHFFFIIIMMMQQQTTTVVVVVVVVVRRROOOKKKIIIGGGFFFEEECCCCCCCCCDDDHHHKKKKKKIIIFFFDDDEEEGGGHHHHHHHHHIIIIIIHHHHHHIIIIIIHHHFFFDDDBBB???>>><<<<<<>>>BBBEEEHHHHHHFFFDDDCCCDDDEEEEEEDDDFFFHHHJJJLLLMMMLLLJJJIIIGGGGGGGGGGGGGGGFFFEEEEEE@@@AAACCCEEEFFFFFFFFFFFFDDDDDDCCCAAA???>>>@@@BBB@@@AAACCCEEEGGGJJJKKKLLLJJJIIIIIIHHHHHHIIIIIIJJJKKKKKKKKKLLLMMMNNNNNNOOOMMMKKKKKKLLLOOOOOOMMMKKKHHHIIIJJJKKKMMMOOOQQQQQQSSSYYY[[[TTTLLLJJJJJJJJJIIIKKKLLLNNNPPPQQQRRRRRRSSSSSSSSSSSSQQQNNNKKKJJJJJJJJJJJJKKKLLLNNNOOOPPPKKKMMMNNNLLLIIIGGGGGGHHHHHHIIIJJJKKKKKKJJJHHHGGGHHHIIIKKKLLLLLLKKKJJJIIIKKKLLLMMMNNNOOOPPPTTTVVVWWWXXXXXXWWWUUUVVVYYY\\\YYYYYYXXXVVVSSSOOOKKKIIIIIINNNSSSWWWXXXYYYYYYZZZZZZZZZYYYYYYYYYXXXXXXXXXUUUTTTRRROOOKKKJJJJJJKKKDDDEEEFFFGGGGGGFFFEEEEEEEEEEEEEEEGGGJJJKKKJJJHHH+++,,,------.........---,,,,,,,,,+++++++++******++++++++++++++++++++++++++++++************++++++++++++++++++++++++++++++***)))(((''''''((()))***))))))))))))))))))))))))******+++++++++******)))(((((((((((()))***+++,,,))))))))))))************)))))))))))))))))))))))),,,+++***))))))***+++,,,)))((('''%%%%%%&&&''''''((((((((()))******++++++%%%%%%&&&&&&'''(((((((((''''''(((***+++,,,......))))))))))))))))))))))))************************&&&&&&'''((()))***++++++***************+++++++++++++++++++++++++++++++++))))))((())))))***+++,,,)))))))))))))))))))))))))))******+++,,,,,,------***((('''((()))*********'''(((((()))******++++++******+++++++++,,,,,,,,,''''''((()))***+++,,,,,,---,,,+++*********+++,,,,,,,,,+++******++++++,,,---------,,,,,,+++++++++++++++,,,,,,---...//////,,,,,,------...---------))))))))))))***+++,,,---)))***+++,,,,,,,,,,,,,,,///+++((((((***+++***(((((()))***+++,,,---------111000...---,,,,,,------000000//////.........---......,,,++++++,,,......111000///......///000111...------......///000111222222111111111111222333111222222333333444555555444333222111111000000000222222222111111111111000555555555555555666777777;;;===>>>???>>>===;;;:::555444333333222222333333444444555666555444222111>>>:::666555888;;;;;;;;;;;;:::::::::::::::;;;;;;;;;:::::::::999888888888444666888999:::999777666888888999:::<<<===>>>???@@@AAAAAABBBCCCCCCDDDDDD>>>============>>>>>>??????@@@BBBDDDFFFHHHIIIJJJNNNMMMKKKJJJIIIIIIJJJKKKFFFIIIMMMQQQTTTTTTSSSQQQRRROOOKKKIIIHHHGGGFFFDDDCCCCCCDDDHHHLLLLLLIIIFFFGGGIIIKKKKKKKKKIIIIIIIIIHHHHHHIIIJJJIIIGGGDDDBBB???>>><<<<<<>>>AAAFFFHHHIIIGGGDDDDDDDDDEEEEEEDDDEEEGGGJJJLLLMMMLLLKKKIIIHHHHHHHHHGGGEEEDDDBBBAAAAAABBBDDDGGGIIIIIIIIIIIIDDDDDDCCC@@@>>>>>>@@@BBBAAAAAABBBDDDFFFHHHKKKLLLIIIHHHHHHGGGGGGHHHHHHIIIIIIIIIJJJKKKLLLMMMMMMNNNOOOMMMLLLMMMPPPRRRQQQOOOHHHHHHIIIKKKLLLNNNOOOOOOOOOWWWYYYSSSKKKHHHHHHIIIGGGHHHJJJLLLNNNOOOPPPPPPSSSTTTVVVWWWVVVTTTQQQOOOKKKKKKKKKLLLMMMOOOPPPQQQLLLOOOPPPNNNKKKHHHHHHJJJFFFGGGIIIJJJJJJIIIGGGFFFHHHIIIKKKLLLLLLJJJIIIGGGJJJLLLNNNOOOQQQTTTYYY\\\XXXYYYYYYWWWTTTTTTXXX[[[\\\\\\[[[ZZZVVVRRRNNNLLLHHHKKKOOOSSSUUUXXX[[[^^^WWWWWWVVVUUUUUUTTTSSSSSSSSSTTTTTTPPPJJJHHHJJJLLLEEEEEEFFFGGGGGGFFFDDDDDDJJJJJJJJJKKKLLLKKKIIIGGG,,,,,,,,,+++++++++******)))))))))))))))))))))))))))************+++++++++++++++******************++++++************+++++++++*********))))))(((((())))))))))))))))))))))))&&&&&&'''((()))***++++++(((((((((((()))))))))))),,,+++)))((((((((()))***'''((()))))))))'''&&&%%%))))))))))))))))))))))))(((((((((((((((((((((((()))))))))))))))((('''''')))((((((''''''''''''((())))))))))))))))))))))))((((((((((((((()))******************************///,,,)))(((((()))((('''&&&'''(((***++++++++++++,,,,,,,,,,,,+++***))))))***)))((((((((()))+++,,,,,,,,,++++++***)))(((((())))))******,,,,,,------))))))))))))))))))))))))))))))*********+++++++++++++++************************))))))))))))******************************)))***+++,,,,,,,,,,,,,,,******+++++++++,,,,,,,,,)))***,,,---...------,,,........................------,,,+++************+++,,,...//////...,,,+++*********)))))))))))))))++++++++++++++++++++++++------///000111111111111............///////////////////////////////////////.........///000///...000///...------...000000111111000///////////////111111111111222333444555555444222000///...//////---...///000111222333444666666555555555555666666666888;;;===<<<:::888666444444333222111111111111222222222222222222222222666666666666777888999:::;;;;;;;;;;;;;;;;;;;;;;;;===<<<<<<;;;999888888777444666888:::;;;<<<;;;;;;555666777888:::;;;<<<===>>>???AAACCCCCCBBBAAA@@@???>>>===<<<===???AAABBB@@@AAACCCFFFIIIIIIGGGEEEFFFHHHKKKLLLLLLKKKLLLMMMKKKLLLNNNSSSWWWXXXTTTPPPUUUSSSOOOJJJFFFDDDFFFHHHFFFGGGHHHJJJKKKKKKLLLLLLNNNMMMLLLJJJIIIIIIIIIIIILLLLLLLLLLLLJJJGGGDDDBBBAAAAAAAAABBBCCCEEEGGGHHHIIIFFFCCC@@@AAADDDHHHKKKMMMMMMMMMLLLKKKJJJJJJJJJFFFFFFEEEEEEDDDDDDCCCCCCCCCCCCDDDGGGJJJKKKJJJHHHDDDBBBAAA@@@AAA@@@>>>======>>>@@@CCCEEEFFFGGGGGGKKKJJJHHHGGGGGGIIILLLNNNQQQPPPOOONNNMMMMMMLLLLLLJJJKKKNNNUUU\\\^^^ZZZVVVNNNNNNMMMLLLKKKKKKLLLLLLTTTSSSSSSRRRPPPMMMIIIFFFGGGGGGFFFFFFHHHJJJMMMOOOOOOQQQSSSUUUVVVTTTRRRPPPMMMMMMMMMNNNNNNOOOOOOOOOPPPPPPNNNLLLHHHGGGHHHIIIMMMLLLLLLJJJIIIHHHGGGGGGGGGFFFFFFFFFGGGIIIKKKLLLMMMNNNPPPRRRVVVYYY\\\^^^\\\ZZZWWWWWWXXXYYYYYYXXXVVVYYYYYYYYY[[[\\\WWWPPPMMMMMMOOORRRUUUVVVUUUSSSVVVWWWWWWVVVRRRPPPOOOOOONNNNNNNNNMMMLLLJJJHHHGGGHHHGGGFFFEEEDDDDDDDDDDDDHHHGGGFFFFFFFFFGGGHHHIII+++*********))))))))))))))))))))))))))))))))))))))))))*********+++++++++************************+++******************+++*********)))))))))((((((((((((((((((((((((((((((''''''''''''(((((((((((('''((((((((())))))))))))+++***)))((((((((()))***((((((((()))((((((''''''(((((((((((((((((((((((((((((((((((((((((((((((()))))))))))))))(((''''''(((((('''''''''(((((())))))))))))))))))))))))))))))((((((((((((((())))))************************,,,***''''''((())))))(((*********)))((('''%%%$$$******++++++,,,++++++++++++***)))(((((()))******,,,,,,++++++***))))))(((++++++,,,,,,,,,,,,,,,,,,))))))))))))))))))))))))))))))*********+++++++++************************++++++************++++++************************)))***++++++,,,,,,,,,+++*********+++++++++,,,,,,******,,,,,,---,,,++++++)))))))))))))))))))))))),,,,,,++++++***+++++++++***,,,---......---,,,***************************++++++++++++++++++++++++000000000///...,,,+++***............////////////........................///........./////////...///...------...///000111111111000///////////////000000000000111222333333444333111///..................//////000111222222444555555555666666666666999999999999999888777666444333333222111111111222222222222222222222222222666666666666666777999999::::::::::::;;;;;;;;;;;;===<<<<<<;;;::::::999999555777888:::;;;;;;;;;:::555666777888:::;;;<<<===>>>???AAABBBBBBBBB@@@?????????>>>===>>>@@@BBBCCCFFFGGGHHHKKKNNNNNNLLLJJJEEEGGGJJJKKKKKKJJJKKKLLLLLLMMMPPPUUUZZZ\\\YYYWWWYYYWWWRRRLLLGGGEEEFFFHHHGGGHHHIIIJJJKKKLLLLLLLLLNNNMMMLLLJJJIIIIIIHHHHHHJJJKKKLLLKKKJJJHHHEEECCCBBBBBBCCCDDDEEEFFFGGGHHHEEEDDDBBBAAACCCGGGKKKNNNNNNNNNMMMLLLKKKKKKJJJJJJHHHHHHGGGFFFFFFEEEDDDDDDGGGFFFGGGHHHJJJJJJHHHGGGCCCAAA@@@???@@@???>>><<<===>>>???AAABBBCCCDDDDDDIIIHHHGGGGGGHHHIIIKKKMMMPPPOOONNNMMMLLLKKKKKKKKKKKKKKKMMMSSSZZZ\\\ZZZVVVKKKKKKKKKKKKKKKLLLLLLLLLSSSQQQOOOOOOOOOMMMIIIFFFFFFEEEDDDDDDFFFHHHJJJLLLLLLNNNPPPSSSTTTTTTTTTSSSOOOOOOOOOOOOPPPQQQRRRRRRQQQQQQPPPMMMJJJIIIIIIKKKNNNMMMLLLKKKJJJHHHGGGGGGGGGGGGFFFFFFGGGIIIJJJKKKLLLMMMPPPSSSWWWZZZ\\\^^^___\\\ZZZXXXXXXXXXWWWVVVUUUXXXYYYYYY\\\^^^ZZZTTTLLLLLLMMMOOORRRSSSRRRQQQQQQRRRTTTSSSQQQPPPPPPPPPNNNNNNMMMMMMLLLKKKKKKJJJJJJJJJIIIHHHGGGGGGGGGGGGHHHHHHGGGFFFFFFGGGHHHIII))))))(((((((((((('''''')))))))))))))))))))))))))))))))))*********++++++******************************************************))))))))))))((((((((((((((((((((((((((((((((('''''''''&&&&&&&&&&&&''''''((((((((()))))))))+++***)))((((((((())))))((((((((('''(((((())))))(((((((((((((((((((((((()))))))))))))))))))))))))))))))))))))))((((((''''''''''''''''''((()))***))))))))))))))))))))))))))))))(((((('''((((((((())))))))))))))))))))))))((('''%%%&&&((()))))))))%%%&&&'''(((******++++++((((((***++++++,,,,,,,,,+++***)))))))))))))))***,,,,,,++++++***))))))))),,,,,,++++++************)))))))))))))))))))))))))))))))))************+++))))))))))))************,,,++++++******++++++,,,************************)))***++++++,,,+++++++++*********++++++++++++,,,***++++++++++++******)))+++++++++++++++++++++++++++++++++***++++++,,,,,,***+++,,,------,,,+++***************************,,,,,,,,,,,,,,,,,,,,,,,,000//////---,,,***((('''............////////////------------------------........................------------...000111222111111000/////////000000000000000000111222333333222111000///...---------.........//////000000000111333444666777777777666:::999888777666555666666333333222222111222222222333333333333333333333333555555444555555666777888888999999999::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;777888999:::;;;:::999999555666777888999;;;<<<<<<===>>>@@@AAAAAAAAA@@@???@@@???>>>>>>???@@@BBBCCCDDDDDDFFFHHHKKKKKKIIIFFFDDDFFFHHHIIIIIIIIIJJJKKKMMMNNNRRRXXX]]]aaaaaa```___]]]WWWPPPIIIFFFFFFGGGHHHHHHIIIJJJKKKLLLLLLMMMMMMLLLKKKJJJIIIHHHHHHHHHHHHIIIJJJKKKJJJHHHFFFEEECCCDDDFFFGGGHHHHHHHHHGGGEEEEEEDDDDDDFFFIIILLLNNNOOOOOONNNMMMLLLKKKJJJJJJKKKJJJIIIHHHGGGFFFEEEDDDJJJIIIHHHIIIIIIIIIGGGEEEBBB@@@???>>>>>>>>><<<;;;<<<<<<===>>>???@@@AAAAAADDDEEEEEEGGGHHHIIIJJJKKKMMMLLLKKKJJJJJJIIIJJJJJJKKKKKKLLLQQQVVVYYYXXXVVVIIIIIIJJJJJJKKKLLLLLLMMMRRRNNNJJJKKKMMMMMMJJJEEEDDDCCCCCCCCCCCCEEEGGGHHHJJJKKKLLLOOOQQQSSSUUUUUUQQQQQQQQQQQQRRRSSSTTTUUUTTTTTTRRROOOLLLKKKLLLMMMOOONNNMMMLLLKKKIIIHHHHHHHHHGGGGGGGGGGGGHHHIIIJJJJJJLLLPPPTTTXXX[[[]]]^^^aaa^^^[[[YYYXXXWWWUUUSSSQQQTTTVVVVVVXXX[[[ZZZUUUJJJJJJJJJLLLOOOPPPOOONNNMMMOOOQQQRRRQQQQQQRRRSSSOOONNNMMMMMMLLLLLLMMMMMMKKKJJJJJJIIIHHHHHHHHHHHHHHHHHHGGGGGGGGGGGGHHHHHH(((((((((((((((((((((((())))))))))))))))))))))))))))))))))))************))))))))))))************))))))************))))))))))))))))))))))))(((((((((((((((((((((((((((((('''''''''''''''''''''''''''''''''((((((((())))))******))))))(((((((((((((((((('''&&&'''(((***+++(((((((((((((((((((((((())))))))))))))))))))))))(((((())))))))))))((((((&&&&&&&&&'''''')))******(((((((((((((((((((((((())))))(((''''''''''''((())))))))))))))))))))))))'''&&&%%%&&&'''(((((('''$$$%%%'''***---///000000((())))))***++++++******)))))))))))))))******++++++++++++*********))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))************((((((((()))))))))))))))+++******))))))******+++++++++++++++++++++++++++******++++++++++++******************+++++++++++++++*********))))))((((((////////////////////////************+++,,,------)))***++++++++++++***)))*********+++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,***+++,,,,,,,,,,,,,,,+++............////////////---------------------------...///...------...///,,,,,,---...///000111222111111000000///000000111111111111111222333444444111000000///...---------............///////////////111444666888888777666999888888666555444333333222222222111222222333333444444444444444444444444444444444444555666777777777777888888999:::::::::888999999::::::;;;<<<<<<888999::::::::::::888888666666777888999:::;;;;;;<<<===>>>????????????>>>>>>>>>>>>>>>???@@@AAABBB@@@@@@@@@BBBDDDDDDBBBAAABBBDDDFFFFFFFFFFFFHHHIIIKKKNNNSSSYYY___dddggghhheeebbb\\\SSSLLLGGGFFFGGGHHHHHHIIIIIIJJJLLLMMMMMMLLLLLLJJJIIIHHHGGGGGGGGGFFFGGGIIIJJJJJJIIIGGGFFFDDDFFFHHHJJJKKKJJJIIIHHHIIIIIIHHHHHHHHHIIIIIIJJJPPPPPPOOONNNMMMLLLKKKKKKLLLKKKJJJIIIGGGFFFEEEDDDIIIHHHGGGGGGHHHHHHFFFEEEAAA@@@>>>>>>>>>>>><<<::::::;;;<<<===>>>@@@BBBBBBAAABBBDDDFFFHHHIIIIIIIIIIIIIIIHHHHHHGGGHHHHHHHHHKKKJJJKKKNNNRRRUUUVVVUUUKKKKKKKKKLLLLLLLLLLLLLLLPPPKKKFFFGGGKKKLLLIIIEEECCCCCCCCCCCCCCCDDDEEEFFFIIIIIIJJJKKKNNNQQQSSSUUURRRRRRRRRRRRSSSUUUVVVWWWVVVVVVTTTRRRNNNMMMNNNOOOOOOOOONNNMMMLLLKKKJJJJJJHHHHHHHHHHHHHHHHHHHHHHHHIIILLLQQQVVVZZZ\\\^^^^^^___\\\ZZZXXXWWWVVVTTTRRRLLLOOOQQQPPPQQQTTTSSSPPPJJJIIIIIIKKKMMMNNNMMMLLLMMMOOORRRSSSRRRRRRTTTUUUQQQPPPOOOMMMLLLLLLMMMMMMJJJIIIHHHGGGGGGGGGGGGGGGIIIHHHHHHHHHGGGGGGGGGGGG))))))))))))))))))))))))))))))))))))))))))))))))(((((()))))))))*********(((((()))))))))*********((()))************)))((((((((((((((((((((())))))''''''''''''''''''''''''&&&''''''((())))))******''''''''''''(((((((((((())))))))))))((((((''''''((('''&&&&&&&&&((()))***''''''''''''''''''''''''))))))))))))))))))))))))(((((())))))))))))((((((&&&&&&&&&'''''')))******((((((((((((((((((((((((((((((''''''''''''((((((((((((((((((((((((((((((((('''&&&&&&''''''&&&$$$******+++++++++******))))))*********))))))((('''&&&&&&((()))***+++,,,,,,+++++++++***************(((((())))))***++++++,,,))))))))))))))))))))))))))))))))))))))))))))))))''''''((((((((()))))))))))))))(((((((((((()))))),,,,,,,,,,,,,,,,,,,,,,,,*********++++++******)))))))))*********++++++++++++******))))))(((((((((++++++++++++++++++++++++************+++,,,------***************************+++++++++,,,,,,,,,---,,,,,,,,,,,,,,,,,,,,,,,,))))))+++,,,......//////............////////////------------------------,,,...///...---,,,---///+++,,,---...000000111111111111000000000000111111000//////000000111222333000000//////......------............////////////...000333666888888777777666777888888777444111///111111111111222333444444444444444444444444444444333333333333444555666777777777777888888888999999555666777888999::::::;;;999999:::;;;:::999888777666666777888999999::::::<<<<<<<<<===============<<<<<<<<<===>>>>>>???@@@AAAAAAAAABBBDDDDDDBBB@@@@@@AAACCCCCCCCCCCCEEEGGGHHHLLLRRRYYY___dddhhhkkkhhheee^^^UUUMMMHHHGGGGGGHHHHHHHHHHHHIIIKKKLLLMMMLLLKKKJJJHHHGGGGGGGGGGGGEEEFFFHHHJJJJJJIIIHHHGGGEEEGGGIIIKKKLLLLLLKKKJJJKKKKKKKKKJJJJJJJJJJJJKKKPPPPPPPPPOOONNNNNNMMMMMMLLLKKKJJJIIIGGGFFFEEEDDDEEEDDDCCCDDDFFFGGGGGGFFFBBB@@@???>>>???>>>===;;;::::::;;;<<>>>>>>>>AAA@@@???@@@AAAAAA@@@>>>>>>???@@@@@@@@@AAACCCEEEEEEJJJRRRYYY^^^cccgggjjjhhheee^^^VVVNNNIIIHHHHHHGGGGGGFFFFFFGGGIIIKKKLLLKKKJJJIIIHHHGGGFFFFFFFFFEEEFFFHHHIIIJJJIIIHHHGGGFFFGGGIIIKKKLLLMMMMMMMMMJJJJJJJJJKKKLLLNNNOOOPPPPPPPPPPPPPPPPPPPPPPPPPPPLLLKKKJJJIIIHHHGGGFFFEEEBBBAAAAAABBBEEEGGGHHHHHHDDDBBBAAA@@@@@@@@@>>>===;;;;;;;;;<<>>>>>????????????>>>======>>>>>><<<;;;===>>>???>>>>>>???BBBDDDCCCIIIRRRYYY^^^bbbeeehhhgggccc]]]UUUMMMIIIHHHIIIFFFFFFEEEEEEFFFHHHJJJKKKKKKJJJIIIGGGFFFFFFEEEEEEEEEFFFHHHIIIIIIHHHGGGFFFEEEFFFHHHJJJLLLMMMOOOPPPLLLLLLKKKLLLLLLNNNPPPQQQOOOOOOOOOPPPQQQQQQRRRRRRLLLLLLKKKJJJJJJIIIHHHHHHCCCBBBAAABBBEEEGGGHHHHHHFFFDDDCCCBBBCCCBBB@@@???>>>===<<<<<<===???AAABBBBBBBBBDDDEEEEEEFFFFFFFFFCCCCCCCCCCCCDDDEEEFFFGGGEEEGGGIIIKKKLLLMMMNNNNNNNNNNNNOOOPPPOOOMMMKKKIIIEEEGGGIIIIIIGGGEEEEEEEEEDDDDDDFFFGGGHHHIIIJJJJJJJJJJJJJJJKKKLLLMMMNNNOOOLLLOOOTTTXXXYYYXXXUUUSSSVVVVVVTTTRRRNNNMMMNNNOOOMMMNNNOOOPPPQQQRRRSSSSSSKKKKKKKKKJJJHHHFFFDDDCCCGGGHHHJJJLLLOOORRRTTTUUUUUUTTTTTTUUUVVVVVVTTTRRRQQQTTTSSSMMMIIIKKKLLLLLLMMMKKKIIIHHHJJJKKKKKKJJJFFFHHHJJJKKKJJJJJJKKKLLLLLLMMMOOOPPPPPPNNNLLLKKKJJJIIIIIIIIIIIIIIIJJJJJJIIIJJJJJJJJJJJJHHHGGGFFF(((((())))))******++++++))))))))))))))))))))))))(((((((((((())))))))))))&&&''''''((()))******+++'''((()))++++++)))((('''&&&'''''''''(((((())))))''''''''''''''''''''''''(((''''''''''''&&&&&&&&&&&&&&&&&&'''''''''(((((('''((()))))))))(((&&&%%%$$$%%%%%%&&&%%%$$$"""!!!''''''''''''''''''''''''((((((((((((((((((((((((''''''((())))))))))))))))))(((((('''''''''(((((())))))))))))))))))))))))$$$$$$%%%%%%'''(((***+++''''''''''''''''''''''''%%%%%%&&&(((***+++***((())))))))))))((('''&&&%%%%%%&&&'''((())))))))))))***+++++++++***)))'''&&&******************++++++((((((((((((''''''''''''))))))))))))))))))))))))******))))))((((((((('''%%%%%%&&&&&&'''((())))))******))))))))))))******((((((((((((((((((((((((***************)))(((((())))))))))))******************)))))))))+++,,,---,,,,,,,,,,,,,,,,,,,,,,,,------,,,+++************,,,,,,++++++++++++,,,,,,++++++,,,,,,---...//////------------------------***+++,,,---------------............/////////000////////////////////////***...000///+++***,,,000---...///000000///......111111000000111222333333333333333333444555666777000000111222222111//////---...///000111222333444222222222333444555666777777666666555555555666666000000000111222444555666666666666666666666666666555555444555555666777888888888777666555444444333666777777888999999::::::777888999:::;;;:::999999666666777777888888999999::::::999999::::::;;;<<<<<<===>>>??????@@@@@@???AAA@@@>>>>>>??????===<<<<<<===>>>======>>>AAACCCBBBIIISSSZZZ^^^aaadddfffeeebbb\\\TTTMMMIIIIIIJJJFFFEEEDDDDDDEEEGGGIIIKKKJJJJJJHHHGGGFFFEEEEEEEEEEEEFFFHHHIIIIIIHHHGGGEEEEEEFFFGGGHHHKKKNNNPPPQQQQQQPPPNNNLLLLLLMMMNNNOOONNNNNNOOOPPPQQQRRRSSSTTTMMMMMMLLLLLLKKKKKKJJJJJJEEECCCBBBCCCEEEHHHHHHHHHGGGFFFDDDDDDDDDDDDBBB@@@@@@???===<<<;;;<<<>>>???DDDDDDDDDDDDEEEEEEFFFFFFBBBBBBBBBCCCDDDEEEFFFGGGDDDFFFIIIKKKKKKLLLLLLMMMKKKLLLMMMNNNNNNMMMKKKJJJCCCHHHLLLKKKFFFCCCDDDFFFCCCDDDEEEGGGIIIJJJJJJKKKHHHHHHJJJKKKMMMNNNOOOOOOLLLPPPUUUZZZ[[[YYYVVVSSSUUUUUUTTTQQQNNNLLLMMMOOOMMMMMMNNNPPPRRRSSSTTTUUUKKKKKKKKKJJJHHHFFFDDDBBBEEEFFFGGGHHHKKKMMMPPPQQQWWWVVVUUUVVVWWWVVVSSSQQQOOOSSSRRRLLLHHHJJJMMMMMMLLLJJJHHHGGGHHHIIIIIIIIIEEEHHHJJJKKKKKKLLLMMMOOOGGGJJJMMMPPPQQQPPPNNNLLLGGGGGGFFFFFFFFFGGGGGGHHHJJJJJJKKKKKKJJJHHHGGGEEE++++++++++++++++++++++++,,,+++)))''''''((()))***&&&&&&&&&''''''''''''((())))))(((((((((((())))))))))))))))))(((((((((((())))))(((((('''''''''&&&&&&&&&$$$$$$$$$$$$&&&&&&&&&'''((())))))((('''&&&&&&&&&&&&''''''''''''((())))))))))))))))))))))))))))))))))))((('''&&&%%%((((((((((((((((((((((((((((((((((((((((((((((((+++***)))(((''''''((()))''''''''''''(((((((((((('''((()))))))))(((&&&%%%%%%&&&''''''((((((''''''))))))(((''''''''''''((((((((((((((())))))))))))''''''''''''''''''''''''''''''((((((''''''&&&%%%###'''(((((())),,,,,,)))))))))))))))))))))))))))***************************************)))(((((()))******)))''''''(((***(((((((((((((((((((((((())))))))))))************,,,+++******)))*********,,,,,,++++++***))))))))))))*********++++++++++++************+++,,,---...------......------,,,++++++******************+++++++++++++++++++++++++++***++++++,,,,,,---......,,,,,,+++******+++,,,,,,+++---///000///.........,,,,,,---...///000111111////////////////////////.../////////...---,,,,,,,,,---...///000000000000---...000111222222222222666444222222222222000......///000000000///---,,,------------.........//////000333555666555333222555666888999999777555444111111222333444555555666666666555555555555666666555777888888777777888999;;;<<<;;;:::777777888999777888::::::::::::<<<===888999999999999888777777888777777777777999:::;;;888888666666666888:::<<<<<<;;;;;;===AAABBB???===>>><<<;;;===??????<<<999:::;;;<<<<<<<<<>>>AAADDDEEEIIIQQQ[[[cccfffeeedddcccaaa]]]VVVOOOJJJIIIIIIHHHGGGGGGFFFGGGGGGHHHHHHFFFFFFEEEDDDDDDDDDDDDDDDGGGGGGHHHHHHGGGFFFDDDCCCDDDFFFGGGJJJKKKMMMNNNNNNQQQMMMIIIHHHJJJKKKJJJIIIMMMMMMMMMMMMOOOPPPRRRTTTQQQOOOLLLLLLNNNPPPNNNLLLEEEEEEDDDDDDEEEGGGIIIJJJIIIHHHGGGEEEBBB@@@???>>>AAA@@@@@@@@@@@@????????????@@@AAABBBCCCDDDEEEFFFCCCBBBAAAAAABBBDDDGGGHHHIIIHHHHHHGGGHHHIIIJJJKKKIIIIIIJJJJJJJJJJJJIIIIIIHHHFFFEEECCCCCCCCCDDDDDDEEEEEEFFFHHHIIIKKKLLLMMMIIIIIIJJJLLLMMMNNNOOOOOOOOOQQQUUUYYY\\\\\\YYYVVVWWWUUURRRNNNLLLKKKJJJKKKNNNNNNOOOPPPQQQQQQQQQQQQOOONNNMMMLLLJJJHHHFFFEEECCCDDDGGGIIIKKKOOOSSSWWWUUUVVVWWWVVVTTTRRRRRRRRROOOQQQRRRPPPLLLJJJKKKMMMLLLLLLMMMMMMLLLJJJHHHFFFEEEFFFHHHJJJLLLMMMNNNNNNMMMMMMMMMMMMNNNNNNNNNNNNLLLIIIFFFGGGJJJLLLLLLJJJNNNLLLIIIJJJMMMOOONNNMMM++++++++++++++++++++++++...---+++*********,,,,,,'''''''''((((((((()))))))))))))))(((((()))))))))))))))))))))(((((((((''')))((((((((('''''''''&&&''''''&&&%%%%%%&&&''''''''''''((((((((((((''''''&&&&&&&&&''''''''''''(((((((((((((((((((((((((((((((((((((((((('''&&&%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&)))((('''&&&%%%%%%&&&'''''''''''''''(((((((((((('''((()))))))))(((&&&&&&%%%&&&''''''((((((''''''%%%%%%%%%%%%%%%&&&'''((('''((((((((())))))))))))''''''''''''''''''''''''''''''((((((''''''&&&%%%&&&***+++)))***,,,,,,((())))))))))))))))))))))))))))))))))))))))))))))))((())))))******))))))((()))******(((&&&&&&'''((((((((((((((((((((((((((((((((()))))))))*********)))))))))))))))***+++,,,,,,,,,++++++***)))((((((((((((((()))))))))******,,,+++++++++++++++,,,,,,------......------,,,,,,*********))))))*********)))))))))))))))))))))))))))))))))***++++++,,,,,,...---,,,++++++,,,---...***,,,...///...------............///////////////........................------......------,,,+++++++++---....../////////(((***,,,...111222222222555444222222333333111000000000000000000///......---.........///////////////111333555666555444222444444555666666555444333222444777777666555555555666666555555555555666666555777888888777666888999888888888666444333444666888999;;;;;;::::::;;;===::::::;;;;;;::::::999888777666666555666777999:::999888777777888999;;;======;;;;;;<<>><<<===<<<<<<===???>>><<<999:::;;;=========>>>AAACCCHHHKKKRRR[[[aaacccbbb```aaa___[[[TTTNNNJJJIIIIIIJJJIIIHHHGGGFFFFFFFFFFFFFFFFFFEEEDDDCCCCCCCCCCCCCCCDDDEEEFFFFFFEEEDDDDDDBBBCCCFFFHHHKKKMMMNNNOOOOOOLLLHHHGGGIIIJJJIIIHHHKKKKKKJJJKKKLLLNNNPPPQQQUUURRROOONNNOOONNNLLLJJJFFFFFFEEEDDDEEEGGGIIIJJJJJJIIIGGGEEECCC@@@???>>>DDDDDDDDDDDDDDDDDDDDDDDDBBBBBBBBBCCCDDDDDDEEEEEECCCBBBAAABBBCCCEEEHHHIIIKKKJJJIIIIIIIIIJJJKKKLLLLLLLLLLLLKKKJJJIIIHHHGGGEEEEEEDDDCCCDDDDDDEEEFFFGGGHHHJJJLLLNNNPPPQQQQQQJJJJJJKKKLLLNNNOOOQQQRRRRRRSSSVVVYYY\\\[[[XXXTTTQQQPPPNNNLLLKKKKKKLLLMMMHHHIIIKKKLLLMMMNNNOOOOOONNNNNNMMMLLLJJJHHHFFFEEEEEEFFFIIIJJJLLLOOOSSSVVVUUUVVVWWWVVVTTTSSSRRRSSSOOOOOOPPPNNNLLLKKKKKKLLLLLLLLLKKKKKKJJJHHHGGGGGGFFFGGGIIIJJJLLLLLLMMMMMMKKKKKKJJJJJJIIIHHHHHHGGGJJJHHHGGGHHHKKKNNNNNNMMMNNNKKKIIIIIILLLOOOOOOOOO******************************((('''''''''((()))(((((((((((()))))))))*********))))))))))))******)))))))))(((((((((''''''((((((((('''''''''''''''(((''''''&&&&&&''''''(((((((((''''''''''''((((((&&&&&&&&&''''''''''''(((''''''''''''''''''''''''&&&&&&'''''''''&&&&&&%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&&&&%%%&&&&&&&&&''''''''''''((((((((((((((((((((()))(((''''''&&&%%%&&&''''''((((((''''''$$$$$$$$$%%%&&&'''((()))''''''((((((((()))))))))(((((((((((((((((((((((('''(((((((((((('''&&&&&&(((++++++))))))++++++((())))))))))))))))))))))))((((((((((((((((((((((((*********)))((('''&&&%%%)))***)))(((%%%%%%%%%'''(((((((((((((((((((((((((((((())))))))))))******)))))))))***+++,,,---...---,,,,,,***)))(((''''''''''''''''''((((((((((((------,,,,,,,,,+++++++++......---------,,,,,,,,,+++******))))))******+++************************))))))***++++++,,,,,,---///......------......///***,,,......---,,,---...000000//////.........---------------------------,,,------------,,,++++++***+++,,,---------------***+++,,,...000000111111444333222222444444333222111111000////////////000////////////000000000000000111333555666555444333555555444444444555555555555:::>>>>>>999555444666555555555555555555555555555666777777666666777999666777777555333333444555:::;;;<<<<<<::::::;;;<<<<<<<<<<<<<<<<<<;;;::::::666555444444555666888999:::999999999999;;;<<<===>>><<<;;;;;;<<<======<<<===<<<<<<===>>>===;;;999999<<<>>>?????????AAABBBGGGJJJQQQYYY```bbbaaa___]]]\\\XXXRRRLLLIIIHHHIIIKKKJJJIIIGGGEEEDDDDDDDDDFFFEEEDDDCCCBBBBBBBBBBBBAAABBBCCCDDDDDDDDDCCCBBB???AAADDDGGGJJJLLLNNNOOOLLLJJJHHHGGGGGGHHHHHHGGGHHHHHHHHHHHHIIIJJJLLLMMMSSSQQQOOOOOOOOONNNMMMKKKHHHGGGEEEDDDEEEGGGIIIKKKJJJIIIHHHEEECCCAAA???>>>AAAAAABBBBBBCCCDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDCCCBBBBBBCCCDDDFFFHHHJJJMMMLLLKKKJJJJJJKKKLLLLLLOOOOOONNNMMMKKKIIIGGGEEEDDDDDDCCCDDDEEEFFFGGGHHHIIIKKKNNNQQQRRRQQQPPPOOOKKKKKKLLLLLLNNNQQQSSSUUUVVVVVVWWWYYYZZZYYYUUURRRKKKJJJJJJJJJKKKMMMOOOPPPGGGGGGIIIJJJLLLMMMOOOOOOMMMMMMMMMKKKJJJHHHFFFEEEHHHIIIKKKLLLMMMOOOSSSVVVUUUVVVXXXWWWUUUSSSSSSTTTOOONNNMMMMMMMMMMMMLLLKKKMMMLLLJJJIIIHHHGGGHHHHHHHHHIIIJJJKKKLLLLLLLLLLLLKKKKKKJJJIIIGGGEEEDDDCCCIIIGGGGGGHHHKKKNNNPPPPPPMMMLLLJJJKKKNNNPPPRRRRRR))))))))))))))))))))))))((('''&&&%%%%%%%%%&&&&&&''''''((((((((()))))))))******))))))))))))******))))))((((((((('''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''((((((&&&%%%%%%&&&((((((&&&&&&&&&''''''''''''(((''''''''''''''''''''''''%%%%%%&&&&&&'''&&&&&&&&&''''''''''''''''''''''''((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''(((((((((((((((((((((((((((''''''&&&%%%&&&''''''((('''''''''&&&&&&&&&'''''')))******'''''''''((((((((())))))))))))))))))))))))))))))((((((((((((((('''&&&&&&&&&)))***'''(((++++++((())))))))))))))))))))))))((((((((((((((((((((((((,,,+++***)))'''%%%###""")))))))))'''%%%$$$%%%&&&(((((((((((((((((((((((((((((((((((()))))))))***++++++++++++,,,---...///---,,,+++***)))((('''&&&''''''''''''((((((((((((,,,,,,,,,---------------......------,,,,,,,,,,,,,,,,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------......//////........................***+++------,,,+++,,,...////////////............---------------------------------......---,,,,,,++++++,,,---......------111111111000000//////...333222111222444555555444111000...------...///000///000000000000111111111000222333555666555555444888777555555555666888999888???EEEDDD===666555777555555555555555555555555444555777666555555666888888999999777666555666888;;;<<<===<<<:::::::::<<<<<<<<<<<<<<<<<<;;;;;;:::666555555444555777888999;;;:::::::::;;;<<<===>>>>>>===;;;::::::;;;<<<<<<=========>>>===<<<:::999999<<>>>>>======<<<:::::::::<<<======>>>??????>>><<<;;;:::999<<>>>>>>>>???AAABBBDDDDDDDDDCCCAAABBBDDDFFFGGGHHHIIIIIIIIIIIIIIIHHHGGGGGGGGGHHHIIIHHHGGGFFFGGGHHHIIIJJJHHHIIIKKKLLLLLLLLLMMMMMMJJJHHHFFFEEEDDDFFFHHHIIIGGGGGGFFFDDDCCCAAA@@@???BBBBBBCCCEEEFFFGGGHHHIIIFFFFFFFFFFFFFFFEEEEEEEEEEEEEEEEEEFFFGGGHHHIIIJJJJJJJJJHHHHHHHHHHHHIIIJJJMMMMMMMMMMMMLLLKKKJJJIIIFFFFFFFFFFFFFFFEEEDDDDDDEEEHHHMMMQQQRRRQQQNNNLLLNNNNNNNNNOOOQQQSSSVVVWWWXXXVVVUUUTTTTTTRRRPPPMMMLLLLLLMMMNNNPPPQQQSSSTTTRRRQQQPPPOOOOOOOOOPPPPPPOOOOOONNNMMMLLLKKKIIIHHHKKKLLLMMMMMMMMMNNNQQQTTTTTTVVVWWWWWWUUUTTTTTTUUURRRPPPNNNOOOQQQRRRPPPMMMPPPNNNJJJHHHGGGGGGIIIKKKKKKLLLLLLMMMMMMLLLLLLKKKLLLMMMNNNOOONNNMMMKKKJJJGGGGGGGGGGGGGGGHHHJJJKKKKKKQQQXXX]]]^^^ZZZTTTPPP************************)))))))))(((((((((''''''&&&&&&&&&&&&''''''''''''))))))(((((((((((())))))((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&'''''''''$$$%%%%%%&&&&&&%%%%%%$$$''''''&&&&&&&&&&&&''''''&&&&&&&&&''''''''''''(((''''''''''''''''''''''''&&&&&&'''''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%&&&&&&&&&&&&%%%''''''''''''(((((((((((())))))(((''''''''''''(((%%%&&&''''''((((((''''''''''''&&&%%%%%%%%%%%%%%%&&&&&&'''''''''(((((((((((((((((((((((((((((((((((())))))))))))(((''''''&&&)))***)))+++000222000(((((((((((((((((((((((())))))))))))))))))))))))###$$$&&&(((***+++,,,,,,(((((()))'''&&&%%%'''((())))))))))))))))))))))))''''''(((((((((((())))))(((((('''&&&&&&&&&&&&&&&*********))))))(((((('''************++++++++++++(((***,,,...000111111111///...---,,,+++,,,------...------,,,,,,------...++++++++++++++++++++++++++++++,,,------......///------............------+++,,,---,,,++++++---///---.........//////000000////////////////////////......///000000000000//////000000111111111000000,,,,,,,,,,,,---...///000000//////111333555555444...............//////000000000000000111111111111222333444555555666666666555444333222333555777888;;;@@@FFFEEE???999666666333444555666666555444333333444555555444444555777666777777666555444666888999:::;;;;;;999999:::;;;:::::::::::::::999888888777666666555666777999::::::;;;;;;<<<======>>>>>><<<<<<===<<<;;;;;;===>>>>>>@@@AAAAAA>>><<<;;;;;;:::<<<>>>>>>>>>>>>???@@@DDDFFFKKKSSSYYY]]]]]]\\\WWWVVVRRRMMMHHHDDDDDDEEEBBBBBBCCCDDDFFFHHHJJJKKKFFFEEECCCAAA???======<<<888:::===AAADDDFFFGGGGGGBBBCCCEEEFFFGGGGGGHHHHHHHHHJJJKKKJJJIIIHHHIIIJJJJJJIIIHHHGGGGGGHHHIIIIIIHHHJJJLLLLLLKKKIIIIIIIIIIIIHHHFFFEEEEEEEEEEEEFFFDDDDDDCCCCCCBBBAAA@@@@@@@@@@@@AAABBBCCCDDDEEEFFFDDDDDDEEEEEEFFFFFFGGGGGGGGGGGGGGGHHHHHHHHHHHHIIIHHHGGGFFFFFFFFFGGGIIIJJJJJJKKKKKKLLLLLLLLLKKKKKKGGGGGGGGGGGGFFFEEEDDDCCCAAAEEEKKKQQQUUUVVVUUUTTTNNNOOOPPPQQQSSSTTTUUUUUUTTTSSSPPPPPPPPPOOOMMMLLLLLLMMMNNNOOOPPPQQQRRRRRRRRRQQQOOOMMMLLLLLLMMMMMMNNNNNNNNNMMMLLLKKKIIIIIIJJJKKKLLLKKKKKKMMMPPPRRRSSSTTTVVVVVVTTTSSSTTTTTTSSSRRRQQQQQQQQQQQQPPPOOOOOOMMMJJJGGGFFFGGGHHHIIIIIIJJJKKKKKKKKKKKKKKKJJJHHHJJJLLLNNNNNNMMMLLLKKKFFFGGGGGGFFFEEEEEEHHHJJJMMMUUU```fffddd\\\SSSMMM++++++++++++++++++++++++'''''''''''''''&&&%%%%%%''''''''''''((((((((((((((((((''''''''''''(((((((((((('''''''''&&&&&&&&&%%%%%%%%%&&&&&&'''''''''%%%%%%&&&''''''&&&%%%%%%%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&''''''''''''(((((((((((((((((((((((((((((((((((((((((('''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%&&&&&&&&&%%%%%%''''''''''''((((((((((((***)))((('''&&&''''''(((%%%&&&''''''((((((''''''&&&&&&%%%%%%%%%&&&&&&'''&&&&&&&&&'''''''''(((((('''''''''''''''''''''''')))))))))))))))(((''''''&&&))))))'''(((---///...(((((((((((((((((((((((((((((((((((((((((((((((($$$%%%&&&)))***,,,------'''((()))((('''''')))***))))))))))))))))))))))))'''''''''((((((((())))))&&&&&&&&&&&&&&&&&&'''''')))))))))))))))))))))(((*********++++++++++++,,,)))+++---000111111000000000...---++++++,,,---...,,,,,,++++++++++++,,,,,,++++++++++++++++++++++++,,,,,,,,,---......//////...//////000000//////...------...---,,,,,,...000///////////////.................................---......///000000//////000111111111111111000000++++++++++++,,,...000111000///...000222444333222//////000111111111111111/////////000000000111111333333444444555666666666444444333333444555777888888<<>>>>>===<<<>>>??????BBBCCCBBB???===<<<===:::<<<<<<<<<;;;<<<>>>@@@CCCEEEJJJQQQWWW[[[\\\[[[WWWVVVRRRMMMGGGDDDCCCDDDAAABBBBBBDDDFFFHHHJJJKKKFFFEEECCC@@@>>><<<;;;;;;999:::===???AAACCCCCCCCCBBBCCCDDDFFFGGGHHHIIIIIIIIIKKKMMMMMMKKKJJJKKKMMMKKKJJJIIIGGGGGGGGGHHHIIIFFFIIILLLMMMKKKIIIIIIJJJGGGGGGFFFFFFEEEDDDCCCCCCAAAAAAAAAAAAAAAAAAAAAAAA<<<======>>>???@@@@@@AAAAAABBBCCCDDDFFFGGGHHHIIIIIIIIIIIIIIIIIIHHHHHHGGGFFFEEEEEEEEEFFFHHHIIIKKKIIIJJJJJJKKKKKKKKKJJJJJJEEEFFFGGGGGGGGGFFFEEEEEEBBBEEEKKKPPPTTTVVVVVVVVVNNNOOOQQQSSSTTTSSSSSSRRRPPPNNNLLLKKKLLLLLLLLLKKKIIIJJJKKKLLLNNNOOOOOOOOOOOONNNLLLJJJIIIJJJKKKLLLLLLLLLLLLLLLKKKIIIHHHGGGGGGHHHIIIIIIJJJKKKNNNQQQQQQSSSUUUTTTSSSRRRSSSTTTRRRSSSSSSRRRPPPNNNOOOOOOLLLJJJHHHFFFEEEEEEFFFFFFFFFFFFGGGHHHIIIIIIHHHHHHFFFHHHJJJLLLMMMLLLJJJIIIEEEFFFGGGFFFEEEFFFIIILLLPPPYYYdddiiieee[[[QQQKKK++++++++++++++++++++++++*********+++***))))))((((((((((((((())))))))))))''''''&&&&&&&&&&&&''''''(((((('''''''''&&&&&&&&&%%%%%%%%%&&&&&&'''''''''%%%&&&'''(((((('''&&&%%%$$$%%%''''''''''''%%%$$$&&&&&&&&&'''''''''(((((())))))))))))))))))))))))))))))))))))((('''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((((((((((((((($$$%%%'''((()))(((''''''''''''''''''((((((((()))***)))(((&&&&&&''''''(((%%%&&&''''''((((((''''''&&&&&&&&&'''((()))***+++&&&&&&&&&'''''''''(((((('''''''''''''''''''''''')))))))))))))))(((((('''$$$'''&&&###$$$)))***)))((((((((((((((((((((((((''''''''''''''''''''''''((()))***************)))'''((()))(((((((((***,,,))))))))))))))))))))))))''''''''''''((((((((()))''''''''''''(((***+++,,,(((((((((((()))))))))))))))*********+++++++++++++++---///000111000///...000...---++++++,,,---...+++******************+++------------------------......//////000111111111///000111222222111000///---......---,,,---///111222111000///...---,,,,,,------------------------,,,,,,---.../////////...000000111111111111000///000///...------...///000///......///111333222111000111222444444444333222////////////000000000000333333444444555666666777555555555666777888999999666888999;;;:::777444111222333555666666555333222222333555444333333444666555666777666555444666888555777888888888888:::;;;::::::;;;;;;::::::999888444444333333444555777888999:::;;;<<<============888<<>>===>>>@@@@@@CCCEEECCC@@@======>>>;;;;;;;;;;;;:::;;;===@@@???BBBGGGOOOWWW\\\^^^^^^XXXVVVSSSMMMGGGCCCCCCCCCBBBBBBCCCDDDFFFHHHIIIJJJFFFEEEBBB@@@===<<<;;;:::===>>>>>>??????>>>===<<<@@@AAACCCFFFHHHJJJKKKKKKJJJLLLOOONNNLLLKKKLLLNNNKKKJJJIIIGGGGGGGGGGGGHHHCCCGGGKKKMMMLLLLLLMMMOOOEEEFFFFFFFFFEEEDDDBBB@@@?????????@@@@@@AAAAAABBB?????????@@@@@@AAAAAABBB???@@@AAACCCFFFHHHIIIJJJJJJJJJJJJJJJIIIHHHGGGFFFEEEEEEEEEEEEFFFHHHKKKLLLJJJJJJJJJJJJJJJIIIIIIHHHCCCDDDFFFGGGHHHHHHGGGGGGFFFHHHLLLOOORRRRRRRRRQQQNNNPPPRRRTTTUUUSSSQQQPPPMMMKKKIIIIIIJJJKKKKKKJJJEEEFFFHHHJJJKKKLLLMMMMMMMMMKKKJJJIIIIIIJJJLLLMMMJJJJJJJJJJJJIIIHHHGGGFFFFFFGGGHHHHHHHHHJJJMMMPPPPPPRRRTTTTTTRRRRRRRRRSSSQQQSSSTTTRRRNNNLLLMMMOOOIIIHHHFFFEEEDDDCCCDDDDDDCCCCCCDDDEEEFFFGGGGGGFFFGGGIIIKKKMMMMMMKKKIIIGGGCCCEEEGGGGGGFFFHHHLLLOOOSSS[[[eeehhhcccYYYPPPJJJ))))))***++++++++++++***)))((('''&&&&&&'''((()))''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%&&&&&&'''((())))))###$$$%%%&&&''''''''''''%%%%%%%%%&&&&&&&&&''''''((('''&&&%%%%%%%%%%%%%%%))))))))))))))))))))))))(((((((((((((((((((((((()))))))))((((((''''''&&&(((((('''''''''&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$###&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%%%%%%%%%%%%%''''''''''''''''''''''''&&&%%%%%%%%%%%%&&&'''''')))((('''&&&%%%$$$$$$$$$((((((''''''''''''(((((()))(((&&&%%%%%%&&&((()))((((((((((((((((((((((((''''''''''''((((((((((((((((((((((((((((((((((((+++***((('''''''''((())),,,***(((''')))*********))))))))))))))))))))))))(((((((((((((((((((((((((((((((((((((((((((((((()))((('''&&&&&&&&&&&&&&&&&&'''((())))))((('''&&&''''''((())))))))))))))),,,------...///000111111---......,,,***((()))***---,,,++++++******+++++++++++++++++++++++++++***........................,,,,,,---...///000111111111000///......------...111111000///...---,,,,,,---,,,,,,,,,,,,---......,,,,,,---...//////......000111222333222111///---)))***+++,,,...///000111......//////000000111111222222222111111111111000///000222333444444444333222222111111000111111111666666666666555555555555666666666666666555555444999999888888777555444333111111111333555666555333666666666666555555555555444555666888999999999999888888999:::::::::999999555555444444555666777999555888;;;;;;999999<<>>=========<<<<<<<<<;;;@@@@@@@@@???????????????===<<<<<<;;;;;;===>>>???BBBDDDHHHNNNVVV[[[]]]]]]WWWUUUQQQLLLHHHEEECCCBBBBBBBBBCCCDDDEEEEEEDDDDDDCCCBBBAAA???>>>======<<>>@@@AAABBBBBBCCCBBBAAAAAA@@@@@@@@@AAADDDCCCBBBAAABBBCCCFFFGGGIIIIIIIIIIIIIIIHHHHHHHHHIIIHHHHHHHHHIIIJJJKKKKKKLLLKKKLLLMMMNNNNNNLLLIIIEEEFFFGGGHHHIIIIIIIIIIIINNNNNNNNNNNNOOOQQQSSSTTTPPPOOONNNPPPSSSTTTRRROOONNNLLLIIIGGGFFFFFFGGGIIIIIIHHHGGGIIIMMMNNNMMMKKKKKKKKKLLLLLLKKKIIIGGGFFFLLLJJJHHHFFFFFFFFFHHHIIIHHHJJJKKKLLLKKKJJJKKKLLLQQQRRRRRRSSSSSSSSSSSSSSSLLLPPPQQQMMMLLLOOOQQQPPPMMMIIIEEEDDDEEEFFFDDDBBBDDDFFFHHHHHHFFFEEEFFFFFFBBBDDDGGGIIIKKKKKKJJJJJJFFFCCCBBBFFFGGGGGGJJJNNNUUU]]]fffeee\\\PPPIIIFFF'''((())))))******)))))))))((('''&&&&&&'''((()))''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%&&&&&&'''(((((()))''''''''''''&&&%%%$$$###%%%%%%%%%&&&&&&&&&''''''((('''&&&%%%%%%%%%%%%&&&((((((((((((((((((((((((''''''''''''''''''''''''((((((''''''''''''''''''&&&&&&&&&&&&%%%%%%$$$$$$&&&&&&'''''''''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&%%%%%%&&&&&&''''''''''''''''''''''''&&&%%%%%%%%%%%%&&&''''''&&&&&&%%%%%%%%%&&&''''''((((((''''''''''''((((((((('''&&&%%%%%%&&&'''(((''''''''''''''''''''''''''''''''''''((((((((((((''''''''''''''''''''''''******((('''''''''((()))+++)))'''''')))******)))''''''''''''''''''''''''''''''''''''''''''''''''((((((((((((((((((((((((((('''&&&&&&%%%%%%%%%&&&)))(((((((((((((((((()))''''''((())))))))))))))),,,---------.../////////,,,------,,,***))))))***---,,,++++++******++++++------,,,,,,,,,,,,------......................................./////////000//////...............////////////............---,,,,,,,,,,,,---......,,,---...////////////...///000111222111000...---,,,,,,,,,------............//////000111222222222111111111000000000//////---...///000000000000000222111111111111111222222666666666666555555555555666666777777666666555444777777777777777666555444222111111222444555444333666666666666555555555444444444555666777888999999:::;;;;;;;;;:::999888888777666555555555666777888666888999:::999:::<<<===;;;;;;;;;<<<<<<=========??????>>>>>>>>>>>>=========<<<<<<;;;<<<===>>>???@@@BBBFFFLLLSSSXXXZZZ[[[UUUTTTRRROOOKKKGGGCCCAAA@@@AAABBBBBBCCCCCCCCCBBBBBBAAA@@@???????????????@@@@@@AAABBBAAAAAA@@@???BBBBBBCCCDDDEEEGGGIIIJJJKKKJJJIIIHHHIIIJJJLLLMMMHHHIIIIIIIIIHHHFFFCCCBBBCCCCCCDDDGGGKKKLLLLLLJJJGGGFFFEEECCCBBBBBBBBBBBB======>>>???@@@AAABBBBBBAAAAAAAAAAAAAAABBBCCCCCCBBBAAAAAA@@@AAACCCEEEFFFJJJJJJIIIIIIHHHIIIIIIIIIKKKKKKKKKKKKLLLMMMNNNNNNNNNMMMLLLMMMNNNNNNLLLKKKGGGHHHHHHIIIIIIIIIIIIIIIKKKKKKKKKKKKLLLNNNPPPQQQMMMLLLKKKMMMQQQSSSRRRQQQOOOMMMJJJGGGFFFGGGHHHIIIIIIHHHHHHJJJMMMNNNMMMKKKKKKLLLLLLLLLLLLJJJIIIHHHJJJIIIGGGEEEDDDEEEFFFGGGHHHJJJLLLLLLLLLKKKMMMNNNPPPPPPQQQRRRRRRRRRRRRRRRNNNQQQRRRNNNMMMOOOQQQPPPNNNJJJGGGEEEEEEEEECCCBBBFFFGGGHHHHHHGGGFFFGGGHHHCCCDDDFFFHHHIIIIIIIIIHHHIIIEEEDDDGGGHHHGGGJJJNNNTTT[[[bbbaaaXXXNNNHHHFFF&&&''''''(((((((((((((((((((((''''''''''''((((((''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%&&&&&&'''(((((((((''''''''''''&&&%%%$$$###%%%%%%%%%&&&&&&&&&''''''''''''&&&%%%%%%%%%&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''&&&%%%%%%%%%&&&'''((('''''''''&&&&&&&&&&&&%%%&&&&&&''''''((((((''''''''''''''''''''''''''''''((((((''''''&&&&&&''''''''''''''''''''''''''''''%%%%%%%%%%%%%%%&&&''''''######$$$%%%&&&((()))***((((((''''''''''''((((((((('''&&&%%%%%%&&&'''(((''''''''''''''''''''''''&&&''''''''''''(((((((((''''''''''''''''''''''''***)))((((((''''''((((((***)))'''''')))))))))(((%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''(((((((((((((((((((((((('''&&&&&&%%%%%%%%%%%%&&&+++***(((''''''(((***+++''''''((())))))))))))))),,,,,,,,,,,,,,,,,,,,,,,,***+++,,,+++***)))***,,,,,,,,,+++************+++000///---,,,,,,---///000........................//////.........---------.........---......///000------........./////////,,,,,,,,,,,,,,,---......---...//////////////////......///000000///---,,,//////......---,,,,,,,,,......///000222333444444000000000000/////////.........---------......///000000000000111222333333555555555555555555666666666666777777666666555444555666666777777666666555222111111222444555444333666666555555555444444444444444444444555777999:::<<<<<<<<<<<<;;;999888777999888777666555666777777777666666888:::;;;;;;:::999999:::;;;===>>>??????>>>=========<<<<<<<<<<<<<<<<<<;;;;;;<<<<<<===>>>???@@@CCCIIIPPPUUUWWWWWWSSSSSSSSSQQQMMMHHHCCC@@@??????@@@AAAAAAAAA@@@@@@@@@@@@???@@@@@@AAABBBCCCBBBAAA@@@???????????????BBBBBBCCCDDDEEEGGGHHHIIIHHHHHHIIIIIIJJJKKKLLLLLLGGGGGGHHHHHHGGGFFFDDDCCCAAAAAACCCFFFIIIKKKKKKJJJHHHFFFDDDBBBAAABBBCCCDDD>>>>>>???@@@AAAAAABBBBBB?????????@@@AAACCCDDDEEE@@@?????????AAACCCEEEFFFJJJJJJIIIHHHHHHIIIJJJKKKMMMMMMMMMNNNNNNPPPQQQQQQQQQOOOMMMMMMNNNNNNMMMLLLJJJJJJJJJJJJJJJIIIIIIHHHGGGGGGGGGGGGHHHJJJKKKLLLJJJIIIHHHIIILLLOOOPPPQQQNNNLLLJJJHHHGGGGGGHHHIIIHHHHHHHHHJJJLLLMMMMMMKKKKKKKKKLLLLLLLLLLLLKKKJJJIIIGGGFFFDDDCCCDDDDDDEEEGGGIIIKKKLLLLLLLLLNNNOOONNNOOOOOOOOOPPPPPPPPPPPPPPPSSSTTTPPPNNNPPPPPPOOONNNKKKHHHFFFEEEEEEDDDBBBEEEFFFGGGGGGFFFEEEFFFGGGFFFFFFFFFFFFGGGGGGGGGGGGKKKGGGFFFHHHHHHGGGHHHLLLQQQVVV[[[YYYRRRJJJFFFFFF&&&&&&'''((((((((((((((((((((((((''''''(((((((((''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&'''''''''((((((###$$$%%%&&&''''''''''''%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&%%%$$$$$$$$$&&&((())))))))))))))))))))))))((($$$%%%&&&''''''((('''''''''''''''''''''''''''''')))(((((('''''''''((((((''''''''''''''''''''''''%%%%%%$$$$$$%%%%%%&&&'''######$$$%%%&&&''')))***(((''''''&&&&&&''''''((('''&&&&&&%%%%%%&&&&&&'''''''''''''''''''''''''''&&&&&&&&&'''''''''((((((''''''''''''''''''''''''))))))(((((('''''''''''')))(((''''''((()))((('''%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''(((((((((((((((((((((((((((''''''&&&&&&&&&''''''+++***)))(((((()))***+++''''''((()))))))))))))))+++++++++++++++*********(((***++++++******+++---,,,++++++***************000...,,,++++++---///111........................------------------------------------...///000111........................,,,,,,++++++,,,,,,---.........//////000//////...,,,---.........------,,,//////......------,,,,,,,,,---...///111333444444111111000000000/////////111000...------...///000000000000000111222333444444444444555555666666666777777777777777666555555444555666666777777777777333111000111333444444333555555555444444444333333555555444444555777:::<<<<<<<<<<<<<<<;;;::::::999;;;:::888777666666666777888555444666:::<<<;;;999:::;;;<<<<<<>>>>>>???@@@>>>>>>======<<<<<<;;;;;;;;;;;;;;;;;;<<<<<<======>>>???AAAGGGMMMRRRTTTUUUSSSSSSRRRPPPMMMIIIEEEBBB??????@@@@@@@@@@@@@@@???>>>>>>???@@@AAACCCEEEFFFFFFDDDBBB@@@??????@@@AAABBBCCCCCCCCCEEEFFFGGGHHHFFFGGGHHHJJJKKKKKKKKKJJJFFFFFFGGGGGGFFFEEEDDDDDDAAAAAABBBEEEIIIKKKLLLKKKJJJHHHEEEBBB@@@@@@AAABBB??????@@@@@@AAAAAABBBBBB>>>>>>>>>???@@@AAABBBCCC>>>>>>???@@@AAACCCEEEFFFJJJIIIHHHGGGHHHIIIKKKLLLNNNNNNNNNNNNOOOPPPRRRRRRSSSPPPMMMLLLMMMMMMMMMLLLKKKKKKKKKKKKJJJIIIHHHGGGDDDDDDEEEEEEFFFGGGHHHHHHHHHGGGEEEFFFGGGJJJLLLMMMKKKJJJHHHFFFFFFFFFGGGGGGGGGGGGHHHJJJKKKLLLLLLKKKIIIIIIJJJKKKKKKKKKKKKKKKIIIHHHFFFEEEDDDDDDDDDDDDDDDGGGIIIKKKKKKKKKMMMNNNMMMMMMLLLMMMMMMMMMNNNNNNQQQTTTUUUQQQNNNOOOOOOMMMKKKIIIGGGFFFEEEEEEEEEEEEDDDEEEFFFEEEDDDCCCEEEFFFIIIHHHGGGGGGFFFFFFGGGGGGLLLHHHFFFGGGFFFDDDEEEIIILLLOOOQQQOOOIIIEEECCCDDD&&&'''(((((())))))(((((('''(((((((((((((((((('''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&'''''''''''''''###$$$%%%&&&''''''''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&%%%$$$$$$%%%&&&'''(((((()))))))))))))))))))))###$$$%%%&&&&&&&&&&&&&&&''''''''''''''''''''''''(((((('''''''''(((((()))''''''''''''''''''''''''%%%$$$$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%&&&'''(((''''''&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''(((((((((((((((''''''&&&((('''&&&'''((()))'''&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''(((((((((((((((((((((((())))))(((((((((((())))))((()))***++++++***)))(((''''''((()))))))))))))))***************)))))))))''')))************+++---,,,+++******))))))******...,,,***)))***,,,...000........................+++++++++,,,---.........,,,,,,,,,,,,---///000111000//////...---,,,,,,,,,,,,++++++++++++,,,------......////////////......,,,,,,,,,---------,,,,,,------...............///++++++,,,...000111222333222222111111111000000000111000...------...///000000000000000111222333444222333333444555666666777777777777777777666666555444555666777888888888888333222000000222333333222444444444444333333333333555555444444555888;;;===999::::::;;;<<<<<<<<<<<<;;;:::888777666666666666888555444666:::<<<;;;999======>>>>>>>>>???????????????>>>===<<<<<<;;;;;;:::;;;;;;<<<<<<<<<<<<<<<>>>>>>@@@EEEKKKPPPRRRSSSTTTSSSPPPMMMJJJHHHFFFFFF@@@@@@AAAAAAAAAAAA@@@@@@======>>>???AAADDDFFFGGGIIIGGGDDDBBBAAABBBCCCDDDCCCCCCCCCCCCDDDEEEGGGGGGEEEFFFHHHJJJKKKJJJIIIIIIFFFFFFFFFFFFEEEDDDDDDCCCBBBAAABBBDDDHHHJJJKKKKKKKKKIIIFFFCCCAAA??????@@@@@@@@@@@@@@@@@@@@@@@@@@@>>>>>>>>>>>>>>>??????@@@??????@@@AAACCCDDDFFFGGGHHHGGGGGGGGGHHHIIIKKKLLLKKKKKKLLLLLLMMMOOOPPPQQQSSSPPPMMMKKKLLLLLLKKKJJJJJJJJJJJJJJJIIIGGGFFFEEECCCCCCDDDEEEEEEEEEFFFFFFGGGFFFEEECCCCCCDDDGGGHHHGGGGGGEEEDDDDDDDDDDDDDDDEEEFFFHHHIIIIIIJJJJJJKKKHHHHHHHHHHHHIIIJJJJJJKKKJJJIIIHHHGGGFFFEEEEEEDDDBBBDDDGGGHHHHHHIIIKKKLLLKKKKKKKKKJJJKKKLLLMMMMMMPPPTTTTTTPPPNNNNNNMMMKKKGGGGGGFFFEEEDDDEEEGGGHHHFFFFFFGGGFFFDDDDDDFFFHHHKKKKKKIIIHHHHHHGGGHHHHHHJJJFFFCCCDDDCCC@@@AAADDDFFFGGGHHHFFFBBB???@@@AAA&&&''''''((()))(((((((((''''''((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&%%%$$$###%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''%%%&&&&&&&&&&&&'''''''''$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&''''''((((((''''''''''''''''''''''''$$$$$$$$$$$$$$$%%%&&&&&&''''''&&&%%%%%%%%%&&&&&&''''''&&&&&&&&&&&&''''''%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''(((((((((((('''&&&&&&'''&&&&&&'''(((((('''%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((***))))))))))))******+++'''(((***++++++***((('''''''''((()))))))))))))))))))))))))))))))))******''')))******))))))+++,,,++++++***))))))))))))***+++***)))))))))+++---...,,,,,,,,,,,,,,,,,,,,,,,,)))******+++,,,---...///,,,,,,,,,,,,---...///000000000///...---,,,+++***+++++++++++++++,,,------..................---,,,,,,,,,,,,,,,,,,---------,,,,,,---...///000000000++++++,,,---///000111111222222222222111111111111......---------......///000000000000111222333333111222333444555666777777777777888888777777666555666777888888999999999999444222000000111222333222444444333333333222222222333333333444666888:::<<<777888999;;;<<<<<<<<<<<<:::999888666555555666666777666666888:::;;;;;;:::>>>>>>>>>>>>>>>>>>????????????>>>===<<<;;;;;;:::::::::;;;<<<<<<<<<<<<;;;======>>>BBBHHHMMMPPPPPPSSSRRRNNNKKKIIIGGGGGGGGGAAAAAABBBBBBBBBAAA@@@@@@======>>>???AAACCCDDDEEEHHHGGGEEECCCCCCCCCDDDEEECCCCCCCCCCCCDDDEEEFFFGGGFFFGGGHHHIIIIIIIIIHHHGGGGGGFFFFFFEEEDDDCCCCCCBBBBBBAAAAAACCCFFFHHHIIIIIIJJJIIIGGGDDDBBB@@@???>>>@@@@@@??????????????????>>>>>>>>>===>>>>>>?????????@@@AAABBBCCCDDDEEEEEEDDDEEEFFFGGGHHHIIIJJJJJJHHHHHHIIIIIIKKKLLLNNNOOOPPPNNNLLLJJJJJJJJJHHHFFFHHHHHHHHHHHHGGGFFFDDDDDDBBBCCCDDDDDDEEEEEEDDDDDDDDDEEEDDDCCCAAAAAACCCEEEEEEDDDDDDCCCBBBBBBCCCCCCBBBDDDFFFGGGGGGGGGHHHIIIHHHGGGGGGGGGHHHIIIJJJJJJKKKKKKJJJIIIHHHFFFEEEEEEBBBDDDFFFGGGGGGGGGIIIJJJKKKJJJIIIIIIIIIJJJLLLMMMMMMQQQRRROOOLLLMMMLLLIIIEEEEEEEEEDDDCCCCCCFFFHHHIIIIIIIIIHHHFFFFFFIIIKKKKKKKKKKKKJJJIIIHHHHHHHHHHHHDDDAAABBB@@@===>>>AAABBBBBBAAA@@@>>>===>>>@@@%%%%%%&&&'''''''''''''''&&&'''((())))))((('''&&&''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&%%%$$$###%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((())))))(((&&&%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%&&&''''''(((''''''''''''''''''''''''$$$$$$$$$###$$$$$$%%%&&&'''&&&&&&%%%%%%&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((('''&&&%%%&&&%%%%%%'''((((((&&&$$$''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((((((((((((((())))))(((((()))******+++((((((((())))))(((((((((''''''((()))))))))))))))((((((((()))******++++++((()))******))))))***+++++++++***))))))))))))))))))))))))******+++------++++++++++++++++++++++++******++++++,,,,,,,,,---,,,,,,,,,,,,------...///.........------,,,,,,,,,+++++++++***++++++,,,------------------,,,++++++,,,,,,,,,,,,,,,---......---------...//////000000---------...///000000111111111111111000000000000---...///000000000000000222111111111111111222222000111222333555666777888777888888888888777666666888999999:::::::::999999444222000///000222222222333333333333222222222222///000111333555666888888888888999:::;;;;;;;;;:::999888666555555555666666666888999:::999:::<<<===::::::;;;<<<===>>>>>>???>>>>>>===<<<;;;:::999999999:::;;;<<<<<<<<<;;;;;;;;;;;;<<>>>>>>>>???@@@AAABBBCCCDDDCCCBBBAAAAAABBBCCCCCCCCCCCCCCCCCCCCCDDDEEEFFFHHHHHHHHHHHHHHHGGGGGGFFFHHHGGGEEEDDDCCCBBBAAAAAABBB@@@???@@@BBBEEEEEEEEEFFFFFFFFFEEEDDDBBB@@@????????????>>>>>>=========>>>>>>>>>>>>???AAABBBCCC??????@@@AAABBBCCCCCCCCCAAABBBEEEGGGIIIIIIIIIHHHFFFFFFFFFGGGIIIJJJLLLMMMNNNLLLJJJIIIIIIGGGEEEBBBEEEEEEEEEEEEDDDDDDCCCBBBAAABBBCCCDDDDDDDDDCCCCCC@@@BBBCCCCCCAAA@@@BBBDDDDDDDDDCCCCCCCCCCCCCCCCCC@@@CCCEEEFFFEEEEEEFFFHHHJJJIIIHHHHHHHHHIIIJJJJJJLLLKKKKKKJJJHHHGGGEEEDDDCCCEEEGGGGGGGGGGGGHHHIIIKKKJJJIIIHHHHHHJJJKKKMMMIIINNNPPPMMMJJJKKKJJJGGGEEEFFFFFFDDDAAA@@@BBBEEEHHHHHHHHHFFFEEEFFFHHHJJJIIIJJJJJJJJJJJJIIIGGGFFFGGGBBB@@@@@@???<<<===@@@?????????=========???@@@$$$$$$%%%&&&&&&&&&&&&%%%&&&'''((())))))((('''&&&'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&$$$$$$%%%&&&''''''''''''%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%&&&'''(((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&(((***+++***(((%%%$$$&&&&&&&&&'''''''''(((((((((((((((((('''&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&'''(((''''''''''''''''''''''''$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%&&&'''((('''&&&&&&%%%%%%&&&&&&'''$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((((((((('''%%%%%%&&&%%%%%%'''((((((&&&$$$''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((((((((((((((((()))******)))((('''&&&&&&'''((()))'''(((((()))))))))))))))'''(((((()))***++++++,,,)))***+++***)))((()))***+++******)))))))))))))))))))))***+++,,,,,,------************************,,,,,,,,,++++++++++++***------,,,,,,,,,---......,,,,,,,,,---------......++++++******++++++,,,---,,,---------,,,,,,+++***---,,,,,,,,,------...///.........///////////////......//////000000111111000000000000///////////////000222444444444444333222222111111111111111111000000222333555666777888888888888888888777666666:::::::::;;;;;;::::::999555222//////000111222222333333333222222222111111---...000222444555666666999999:::::::::999888888888777555444444555555666555888;;;;;;999999<<>>>>>>>>>>>>>>???@@@AAAAAA@@@@@@@@@???@@@@@@AAAAAACCCCCCCCCCCCCCCDDDEEEFFFIIIIIIHHHGGGGGGFFFFFFFFFHHHGGGFFFDDDBBBAAAAAA@@@AAA???===>>>@@@BBBBBBBBBBBBCCCEEEFFFFFFDDDBBBAAA??????>>>>>>======<<<<<<===>>>>>>@@@AAACCCEEEFFF>>>???@@@AAAAAAAAAAAAAAA>>>AAADDDGGGIIIIIIHHHGGGEEEEEEEEEFFFHHHJJJKKKLLLLLLJJJIIIIIIHHHFFFBBB???CCCCCCCCCCCCCCCBBBBBBAAA@@@AAABBBCCCDDDCCCBBBAAA<<>>BBBEEEEEEDDDCCCEEEGGGKKKJJJIIIHHHHHHIIIJJJKKKKKKKKKKKKJJJHHHFFFEEEDDDDDDFFFHHHHHHGGGGGGHHHIIIKKKJJJIIIHHHHHHJJJKKKMMMGGGLLLNNNKKKIIIJJJIIIFFFGGGGGGGGGCCC???>>>???AAAEEEEEEEEECCCBBBBBBEEEGGGGGGHHHJJJJJJJJJHHHFFFEEEGGGBBB@@@@@@???<<<===@@@??????>>>======>>>@@@AAA'''&&&&&&%%%%%%&&&&&&'''))))))(((((((((''''''''''''''''''&&&&&&%%%%%%%%%&&&'''((())))))((('''&&&$$$$$$$$$$$$$$$$$$$$$$$$"""$$$$$$$$$######%%%'''$$$$$$%%%%%%%%%%%%&&&&&&!!!"""###$$$%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$''''''((((((((('''%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&'''(((((('''''''''&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&&&&$$$$$$###"""$$$###""""""!!!!!!!!!"""$$$$$$$$$#########""""""%%%%%%%%%$$$$$$#########((('''&&&%%%$$$%%%%%%&&&(((((())))))(((&&&$$$###&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((((((''''''((('''%%%#########%%%&&&''''''''''''''''''''''''&&&''')))*********)))(((((()))***+++***)))'''%%%(((((((((((((((((((((((())))))************)))))))))************+++++++++******+++++++++,,,,,,,,,---+++)))((((((***---///++++++++++++++++++++++++,,,++++++******+++,,,,,,......---,,,,,,,,,------.........///......---,,,,,,,,,,,,---,,,,,,+++++++++,,,,,,------,,,,,,+++---,,,++++++,,,---///000......////////////......333222111/////////000000222222222222222222222222000///.........///111222111111111000///......---+++---///111444666777777555666666666777777777777:::;;;;;;<<<<<<<<<<<<;;;444222000///111222222111222222111111111111222222333333333444444666777888999::::::;;;;;;::::::999555444444444444555666666777888888999999999888888999999999:::;;;<<<>>>>>>???>>>===;;;:::999888888777777888999:::;;;;;;<<<;;;;;;;;;;;;===BBBIIIOOONNNRRRSSSRRRQQQOOOIIIBBBAAA???======>>>???>>>===<<<>>>@@@CCCDDDDDDCCCBBBBBBAAA@@@??????@@@AAABBB@@@@@@AAABBBCCCDDDEEEFFFHHHHHHHHHGGGGGGHHHIIIIIIHHHGGGEEEDDDCCCBBB>>><<<>>>===<<<<<<===>>>???@@@AAABBBDDDEEEFFFEEECCCBBBEEECCC@@@===<<<===>>>???<<<<<<===@@@CCCFFFFFFEEEBBBAAAAAA@@@@@@AAAAAABBB@@@AAAAAABBBCCCEEEGGGHHHGGGFFFEEEEEEGGGJJJNNNPPPQQQOOOKKKHHHFFFEEEEEEEEECCCCCCBBBAAAAAAAAABBBBBB??????@@@AAAAAAAAA@@@@@@AAAAAABBBCCCCCCCCCBBBBBBAAACCCFFFGGGEEECCCBBBBBBCCCBBB@@@???@@@BBBDDDFFFGGGHHHIIIIIIJJJJJJIIIIIIIIIJJJLLLLLLLLLJJJHHHFFFGGGGGGHHHHHHHHHIIIIIIIIIHHHIIIJJJKKKJJJIIIHHHGGGHHHJJJKKKKKKJJJJJJLLLMMMHHHGGGDDDBBB@@@???>>>>>>AAAAAAAAABBBCCCDDDEEEFFFHHHHHHIIIJJJIIIHHHGGGFFFFFFDDDBBB@@@????????????=========>>>???AAABBBCCC'''''''''&&&&&&''''''''''''&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%&&&''''''((((((''''''&&&'''&&&$$$$$$$$$$$$&&&'''%%%&&&&&&%%%$$$###%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&###$$$$$$%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((((((((('''%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&((('''''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%$$$$$$###''''''&&&%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$&&&&&&&&&%%%%%%%%%$$$$$$((('''&&&%%%$$$%%%%%%&&&''''''(((((('''&&&$$$$$$%%%&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((((((''''''((('''&&&$$$$$$%%%&&&'''((((((((((((((((((((((((&&&'''((()))***))))))(((((()))*********((('''&&&((((((((((((((((((((((((((())))))******))))))((())))))*********+++++++++*********+++++++++,,,,,,...---,,,+++,,,---///000+++++++++++++++,,,,,,,,,,,,,,,+++*********+++++++++++++++******+++,,,,,,......//////...---,,,,,,------...............---+++,,,,,,------,,,,,,++++++************,,,---.........////////////......222111000/////////000111222222222222222222222222000000/////////000111222222222111000000///......,,,...000222444666777777666666666666666777777888;;;===???AAAAAA@@@>>><<<666444111000111222222111222111111000000111111222222222333333555666777888:::;;;;;;;;;;;;;;;;;;:::444444444444444555666666777888999:::::::::999999999999999:::;;;<<<===>>>=========<<<;;;:::999888777888999999;;;;;;<<<===<<<<<<;;;;;;<<>>===<<<>>>???>>>===<<<===???AAABBBCCCCCCCCCAAAAAA@@@??????@@@AAAAAABBBCCCDDDEEEGGGHHHIIIJJJJJJIIIIIIIIIIIIIIIJJJJJJIIIGGGEEECCCBBBAAA???===>>>===<<<;;;<<<>>>@@@AAACCCDDDFFFGGGGGGEEEDDDCCCEEECCC@@@===<<<<<<>>>???@@@@@@@@@BBBEEEFFFDDDCCCDDDCCCCCCBBBBBBBBBBBBBBBBBBCCCCCCDDDEEEFFFGGGGGGGGGFFFFFFFFFHHHKKKNNNPPPPPPNNNKKKHHHFFFEEEEEEEEEDDDCCCAAA@@@???>>>======>>>??????@@@@@@@@@@@@@@@@@@@@@AAABBBBBBCCCCCCDDDDDDFFFGGGFFFDDDBBBAAABBBCCCBBB@@@???@@@BBBEEEFFFHHHIIIIIIIIIIIIHHHHHHGGGIIIIIIJJJJJJIIIHHHGGGFFFEEEEEEFFFFFFFFFGGGGGGGGGFFFFFFHHHIIIJJJJJJJJJJJJIIIKKKLLLKKKJJJIIIKKKLLLHHHGGGDDDAAA@@@?????????????????????@@@AAABBBBBBFFFGGGHHHHHHHHHGGGFFFEEEEEEDDDBBB@@@????????????=========>>>???AAACCCCCC(((''''''''''''''''''(((&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&''''''&&&%%%$$$$$$%%%&&&'''&&&'''((('''$$$###$$$%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%$$$######''''''''''''''''''''''''&&&''''''''''''&&&%%%%%%''''''''''''''''''''''''&&&&&&%%%$$$$$$$$$%%%%%%''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%'''&&&&&&%%%%%%%%%%%%&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((((((''''''((('''&&&%%%&&&'''((()))((((((((((((((((((((((((&&&'''((())))))))))))((())))))))))))(((((((((((((((((((((((((((((((((((('''(((((())))))((((((''')))))))))*********++++++*********++++++++++++,,,---------------.........,,,,,,,,,,,,,,,,,,,,,,,,---,,,+++***************************+++,,,,,,---/////////......,,,++++++---...///000000000000000,,,,,,------------,,,,,,++++++***++++++,,,.........//////000000//////...000000/////////000111111111111111111111111222222111111000000111111222333222222222111000000//////...///111333555666777888777666555555555666777888:::<<<@@@CCCDDDCCC@@@>>>:::777444222222222222111222111111000000111111222000111222333555666777888888999999::::::999999888444444444444444555555666777888:::<<<<<<;;;:::999888888888999:::;;;======;;;<<<===>>>>>><<<:::999888888999:::;;;<<<======<<<<<<<<<;;;<<<@@@FFFKKKPPPUUUXXXVVVSSSQQQJJJCCC???===;;;;;;===>>>>>>============>>>@@@BBBCCCDDDAAA@@@@@@??????@@@@@@AAABBBCCCEEEFFFHHHJJJKKKLLLKKKKKKJJJJJJJJJJJJJJJKKKJJJHHHDDDBBBAAAAAA@@@>>>@@@>>><<<;;;;;;>>>AAACCCFFFGGGGGGHHHGGGFFFDDDCCCCCCBBB???===<<<===>>>???@@@AAABBBEEEGGGHHHFFFDDDEEEEEEEEEDDDDDDCCCCCCCCCDDDEEEFFFFFFGGGFFFFFFFFFGGGFFFFFFGGGIIIKKKNNNOOOPPPNNNLLLIIIGGGFFFFFFFFFFFFEEECCC@@@>>><<<;;;:::>>>>>>>>>??????@@@@@@@@@@@@@@@@@@AAAAAACCCDDDEEEGGGGGGGGGDDDBBB@@@@@@AAACCCBBBAAA@@@AAACCCEEEGGGIIIJJJJJJJJJJJJHHHGGGFFFIIIHHHGGGFFFFFFEEEEEEEEECCCCCCCCCDDDDDDDDDEEEEEEDDDDDDEEEGGGIIIKKKMMMNNNLLLMMMMMMLLLJJJHHHIIIJJJIIIGGGDDDAAA@@@???@@@AAA>>>>>>>>>>>>???@@@AAABBBDDDEEEEEEFFFFFFFFFEEEEEEEEECCCBBB@@@??????@@@@@@=========>>>@@@AAACCCDDD&&&&&&''''''''''''&&&&&&''''''''''''''''''''''''$$$$$$$$$%%%%%%&&&&&&''''''&&&$$$$$$$$$$$$&&&'''$$$%%%%%%%%%%%%%%%%%%$$$$$$%%%'''&&&$$$$$$$$$%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$%%%%%%&&&%%%%%%$$$$$$''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$############$$$$$$''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((''''''&&&&&&&&&%%%%%%&&&'''((()))(((((((((((((((((((((((('''''''''(((((((((((((((***)))(((((((((((())))))((((((((((((((((((((((((''''''((((((((((((''''''))))))))))))************************++++++++++++******,,,---------,,,+++---------,,,,,,,,,,,,,,,---,,,+++***))))))))))))+++++++++,,,---...///000/////////...---,,,+++***,,,---...000000111111111,,,,,,------------,,,,,,---------......///000000//////000000000000//////////////////000000111111000000000111111111111111111111111222222222333333222222222222111111000000///000222444555666777777777666555444444666777888777999<<>>;;;666333222222111111111111000000000000111111///000111333555666777777555555555666666555555555444444333333444444555666444666999;;;<<<;;;:::999777777777777888:::;;;<<<:::<<<>>>@@@@@@>>><<<:::888888999:::;;;<<<<<<============<<<<<<@@@EEEIIIOOOUUUXXXVVVSSSPPPJJJDDD???===;;;:::<<<===>>>======<<<<<<<<<>>>AAACCCEEEAAAAAAAAA@@@@@@AAAAAAAAA@@@AAABBBDDDGGGIIIJJJKKKKKKKKKJJJJJJIIIJJJJJJJJJKKKHHHDDDBBBAAABBBAAAAAAAAA???<<<:::;;;>>>BBBEEEGGGGGGGGGGGGFFFEEEDDDCCCCCCBBB@@@>>>>>>>>>???@@@>>>???AAAEEEIIIJJJIIIGGGEEEEEEEEEEEEEEEDDDDDDCCCEEEEEEFFFFFFFFFEEEDDDCCCFFFFFFGGGHHHJJJKKKMMMNNNNNNMMMKKKIIIHHHGGGFFFFFFHHHGGGDDDBBB???>>>===<<<============>>>??????@@@CCCBBBAAAAAAAAABBBCCCDDDEEEEEEDDDAAA???>>>@@@BBBBBBBBBAAAAAABBBDDDFFFGGGIIIJJJLLLMMMMMMLLLJJJIIIIIIGGGEEECCCBBBCCCCCCDDDCCCCCCCCCCCCDDDDDDDDDDDDEEEEEEEEEFFFHHHKKKMMMOOONNNNNNNNNLLLIIIGGGGGGHHHHHHGGGDDDBBBAAAAAABBBBBBBBBAAAAAAAAABBBBBBCCCDDDBBBCCCCCCCCCDDDDDDDDDDDDDDDCCCAAA@@@???@@@@@@AAA>>>>>>>>>???@@@AAACCCDDD$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&''''''''''''''''''###$$$$$$%%%%%%&&&&&&&&&&&&%%%$$$######$$$%%%&&& """%%%''''''%%%""" !!!$$$%%%$$$$$$%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&######$$$%%%&&&''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%&&&&&&'''''''''&&&&&&&&&''''''(((&&&&&&&&&&&&%%%%%%%%%%%%##################$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&&&&'''$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&$$$$$$$$$%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''(((((()))))))))(((((((((((()))***))))))))))))))))))))))))''''''((((((((((((''''''(((((()))))))))*********))))))*********+++++++++)))+++,,,......---,,,+++---------,,,,,,+++++++++,,,+++******)))))))))***+++++++++,,,---...///000............---,,,+++***+++,,,---...///000000000,,,------......------,,,------...///000000000111//////000000000000//////......//////000000000000/////////000000111111111111222222222333333333333222222222111111111111111000111333444555666666666666555444444444555777888666777888;;;>>>CCCGGGJJJAAA===888444333222111111111000000000000000000111...///111333444555555555333444444444444444444333333333333333333444555555333444777999::::::999999555666666666777999:::;;;:::<<>>>>>>>>===>>>@@@EEEIIINNNTTTWWWTTTPPPNNNJJJFFFAAA>>>;;;:::;;;<<<=========<<<<<<<<<>>>AAADDDFFFBBBCCCCCCCCCCCCCCCCCCBBB???@@@BBBDDDFFFHHHJJJKKKKKKKKKJJJIIIHHHHHHIIIIIIJJJHHHDDDCCCCCCDDDDDDDDDCCCAAA===;;;<<<>>>BBBEEEEEEEEEEEEEEEEEEEEEEEEDDDCCCCCCBBBAAAAAAAAABBBBBB???@@@BBBEEEHHHIIIGGGFFFCCCDDDEEEEEEEEEEEEDDDCCCDDDDDDDDDDDDCCCBBBAAA@@@EEEFFFGGGIIIJJJKKKKKKKKKLLLKKKJJJIIIHHHGGGFFFFFFEEEDDDCCCAAA@@@???>>>>>><<<<<<;;;<<<<<<>>>???@@@EEEEEEDDDCCCBBBBBBBBBBBBBBBBBBAAA>>>======@@@CCCBBBBBBBBBBBBCCCEEEGGGHHHHHHJJJMMMOOOQQQQQQPPPOOOIIIGGGEEEBBBAAAAAACCCDDDDDDDDDEEEEEEEEEFFFFFFFFFHHHGGGGGGGGGHHHJJJLLLMMMOOOPPPOOOLLLIIIFFFFFFFFFGGGFFFEEECCCCCCBBBCCCCCCDDDCCCCCCCCCCCCDDDDDDEEEBBBBBBBBBBBBBBBBBBBBBBBBCCCBBBAAA@@@@@@@@@AAABBB????????????@@@AAABBBBBB###$$$%%%&&&&&&%%%$$$###$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&!!!$$$''''''$$$!!!"""$$$$$$$$$%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&"""###$$$&&&''''''(((((($$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$###""""""""""""###############$$$$$$%%%%%%%%%%%%$$$%%%%%%$$$$$$%%%&&&'''(((%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&''''''((()))(((((((((((())))))))))))))))))))))))))))))))))))'''(((((())))))(((((('''((((((((()))))))))******)))))))))************+++,,,---...000000//////...---,,,,,,++++++******)))******)))))))))******+++************+++,,,,,,---,,,------------,,,+++++++++,,,------............------............------+++,,,---...///////////////000000111111000000///......///000000000//////......//////000000111111111111222333333333333222111111111111111111111111111111222444444555555555444444555555555666666666888888777999===CCCIIIMMMCCC>>>888444222222222111111000000//////000000111...///111333444444444333444555555666666555555444333333333333333444444555222333555666888999::::::666666666777888999;;;;;;===>>>@@@AAAAAA@@@???===888888999:::;;;<<<======>>>????????????BBBFFFJJJMMMSSSVVVRRRNNNMMMLLLJJJCCC@@@<<<:::;;;<<<<<<<<<===<<<<<<===???BBBEEEGGGEEEEEEFFFGGGGGGFFFEEEEEEBBBCCCDDDFFFHHHJJJKKKLLLKKKKKKJJJIIIHHHHHHHHHHHHIIIGGGEEEEEEFFFHHHHHHHHHDDDBBB???======>>>AAACCCBBBCCCCCCDDDEEEFFFGGGHHHEEEEEEDDDDDDDDDEEEFFFFFFGGGFFFEEEEEEFFFFFFDDDBBBBBBCCCEEEFFFGGGFFFFFFEEECCCCCCAAA@@@?????????@@@CCCDDDFFFHHHJJJJJJIIIIIIIIIIIIIIIHHHGGGFFFFFFEEEAAAAAA@@@>>>>>>=========;;;;;;::::::;;;===???@@@FFFFFFFFFFFFEEEDDDCCCBBB@@@@@@@@@>>>===>>>@@@CCCBBBBBBCCCCCCEEEFFFHHHHHHHHHJJJNNNRRRTTTTTTSSSRRRJJJHHHEEECCCBBBBBBCCCCCCFFFFFFFFFGGGGGGGGGHHHHHHJJJJJJIIIIIIJJJKKKLLLLLLPPPPPPOOOMMMIIIFFFEEEFFFEEEEEEFFFFFFEEEDDDCCCBBBCCCCCCBBBBBBBBBBBBCCCCCCCCCBBBBBBAAA@@@@@@AAAAAABBBAAA@@@@@@@@@AAABBBCCCBBBAAAAAA@@@@@@@@@@@@AAA###$$$&&&''''''&&&$$$#########$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%""""""$$$%%%%%%$$$""""""!!!$$$%%%%%%$$$$$$%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%&&&'''''''''&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%!!!!!!!!!!!!!!!"""######%%%%%%%%%%%%$$$$$$$$$$$$""""""#########$$$$$$$$$"""###$$$%%%&&&%%%%%%$$$'''&&&&&&%%%%%%&&&'''(((%%%&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&'''((()))&&&'''(((*********)))((())))))))))))))))))))))))((())))))******))))))((((((((((((((()))))))))***))))))))))))************---......///////////////,,,,,,+++******)))(((((()))(((((())))))***+++,,,+++++++++******+++,,,,,,++++++,,,---------,,,,,,,,,------.........------------............------+++,,,...///000000//////000000111111111111000000...///000000000///...---------...//////000111111000000222333333333222111000000000000000000000000111111222333444444444333222333555666777666555444888888888999<<<@@@DDDGGGCCC>>>888444222222222222000000////////////000000///000222333444333222111444555555666666555555444333333222222333333444555444444444555777999<<<===999999999999:::<<<===>>>???@@@@@@@@@@@@@@@??????::::::;;;<<<===>>>??????>>>???@@@@@@AAADDDHHHLLLNNNTTTVVVQQQMMMNNNPPPPPPFFFCCC>>>;;;;;;;;;<<<<<<<<<<<<===>>>@@@CCCFFFGGGHHHHHHIIIJJJJJJIIIHHHHHHEEEEEEFFFHHHIIIKKKLLLLLLMMMLLLKKKJJJIIIIIIIIIIIIGGGFFFFFFGGGJJJLLLKKKKKKEEEDDDAAA???>>>>>>???@@@@@@AAABBBDDDGGGIIIKKKLLLGGGGGGGGGHHHHHHIIIIIIIIILLLJJJGGGEEEEEEEEEDDDCCCAAACCCEEEHHHIIIIIIIIIHHHDDDBBB@@@>>>===>>>@@@AAAAAACCCFFFHHHIIIHHHGGGFFFGGGGGGGGGGGGFFFFFFEEEDDDBBBAAA@@@>>>============::::::999999:::<<<>>>@@@CCCDDDGGGHHHIIIHHHFFFEEEBBBBBBBBB@@@>>>>>>@@@AAABBBBBBCCCDDDFFFGGGHHHIIIIIIKKKOOOSSSTTTTTTSSSQQQJJJIIIGGGEEEDDDCCCCCCCCCGGGGGGHHHHHHHHHHHHIIIIIIIIIJJJKKKLLLMMMMMMMMMMMMPPPPPPOOOLLLIIIFFFEEEFFFCCCDDDGGGHHHHHHFFFCCCBBBCCCBBBBBBAAAAAAAAABBBBBBEEEDDDBBB@@@?????????@@@AAAAAA@@@???@@@AAACCCCCCDDDCCCBBBAAA@@@?????????$$$%%%'''(((((('''%%%$$$%%%%%%%%%&&&&&&'''''''''&&&%%%%%%$$$$$$#########%%%%%%'''(((((('''%%%%%%&&&%%%$$$######$$$%%%&&&!!!###&&&'''&&&$$$###$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&''''''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$###$$$%%%'''(((''''''''''''''''''''''''$$$$$$$$$$$$%%%&&&&&&'''$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$#########$$$%%%&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$######$$$$$$$$$%%%%%%%%%"""###$$$%%%&&&%%%%%%$$$((((((&&&&&&%%%&&&'''(((&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%'''((((((((('''&&&%%%%%%''''''''''''''''''''''''''''''&&&%%%&&&'''((()))%%%''')))***+++***)))((())))))))))))))))))))))))))))))************))))))(((((((((((())))))))))))))))))))))))************,,,,,,,,,,,,------......++++++******)))((((((''''''((((((((()))+++,,,---......---,,,,,,,,,------******+++,,,------------..................------------............---------...000222222222111111000000111111111111000000//////000000000...---,,,---------...///000000111///000111222333222111111///////////////000000000000111222222333333333222111333555777888666444333666666777888:::<<<>>>???CCC>>>888333222222222222000000////////////000000///000222333333222000///222333333444444333333222333333222222333333444555555555555555777:::===???;;;;;;;;;<<<===>>>???@@@AAAAAAAAA@@@@@@?????????<<<<<<===>>>???@@@AAAAAA>>>???AAAAAABBBEEEJJJMMMOOOUUUVVVQQQMMMOOORRRTTTHHHDDD???<<<;;;;;;;;;;;;<<<===>>>@@@BBBDDDFFFGGGIIIJJJKKKLLLLLLKKKJJJIIIEEEEEEFFFGGGHHHJJJJJJKKKNNNNNNLLLKKKJJJJJJJJJJJJFFFEEEFFFIIILLLNNNMMMLLLFFFEEECCCAAA???>>>>>>>>>@@@AAABBBEEEHHHKKKNNNPPPHHHIIIIIIJJJJJJKKKKKKKKKMMMJJJGGGEEEFFFGGGHHHHHHAAACCCFFFIIIKKKKKKKKKKKKEEEBBB???===<<<>>>AAACCC@@@BBBEEEHHHHHHHHHFFFEEEFFFFFFFFFFFFFFFEEEDDDDDDEEEDDDBBB@@@???>>>======:::999888888:::<<<>>>@@@@@@CCCFFFJJJKKKKKKIIIHHHEEEEEEEEECCC@@@??????@@@BBBBBBCCCEEEFFFHHHIIIIIIJJJLLLPPPSSSTTTSSSQQQOOOKKKJJJHHHGGGEEEDDDCCCCCCGGGGGGHHHHHHHHHIIIIIIIIIHHHIIIKKKMMMOOOOOONNNNNNOOOPPPOOOLLLIIIFFFFFFFFFAAADDDGGGJJJJJJGGGCCCAAADDDCCCCCCBBBBBBBBBCCCCCCFFFEEECCC@@@????????????AAA@@@@@@???@@@AAACCCDDDFFFEEECCCAAA@@@>>>>>>>>>&&&&&&&&&&&&&&&&&&&&&&&&(((((('''''''''&&&&&&&&&(((''''''&&&&&&%%%$$$$$$((('''&&&&&&(((((('''&&&###%%%&&&&&&$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%'''&&&%%%$$$$$$$$$%%%&&&((('''&&&%%%%%%%%%%%%%%%!!!!!!###$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%)))(((&&&$$$$$$$$$&&&'''$$$$$$$$$%%%&&&'''((()))'''&&&&&&%%%%%%&&&&&&'''''''''((((((((((((''''''&&&'''''''''((()))))))))(((((((((((((((((((((((((((((((((((())))))))))))%%%%%%&&&'''((((((((('''((((((((((((''''''''''''(((((((((((())))))))))))******+++++++++,,,,,,,,,***++++++++++++***))))))((((((((((((((('''''''''+++++++++*********))))))++++++,,,,,,,,,,,,------000...,,,---///000...,,,---......///////////////---------...///000000111......---,,,,,,,,,,,,,,,......//////......---,,,......---------.........000000000000000000000000////////////////////////222222222222222333333333888666444222222222333444777888999:::;;;<<<<<<<<<<<<:::777444222111111111333222111111000111111111000111222333444555555555222333555777777666555444555444444333333444444555333444555777888:::;;;;;;;;;<<<===>>>@@@@@@AAAAAA@@@AAABBBBBBAAA@@@???>>>===>>>>>>?????????>>>>>>@@@AAACCCCCCCCCDDDGGGIIIJJJOOORRRRRRTTTVVVTTTPPPJJJEEE???;;;::::::;;;;;;:::;;;;;;===???AAACCCDDDGGGHHHHHHIIIJJJJJJJJJJJJIIIIIIHHHHHHHHHIIIIIIJJJKKKKKKKKKKKKKKKJJJIIIIIIGGGHHHJJJLLLLLLKKKIIIHHHFFFEEEBBB@@@>>>===<<<<<<@@@@@@BBBDDDGGGJJJMMMNNNJJJJJJKKKLLLLLLMMMNNNNNNRRROOOKKKHHHGGGGGGIIIJJJIIIHHHHHHIIIKKKLLLKKKJJJDDDCCCAAA?????????AAABBBCCCCCCDDDFFFHHHHHHFFFDDDMMMLLLKKKIIIHHHHHHGGGGGGFFFDDDCCCBBBAAA@@@===;;;>>><<<:::999999;;;>>>@@@???BBBGGGKKKLLLJJJGGGDDDIIIFFFCCC@@@>>>>>>???@@@CCCFFFIIIIIIGGGFFFGGGIIILLLMMMOOOPPPPPPOOONNNMMMMMMLLLJJJIIIIIIHHHFFFDDDIIIJJJJJJIIIGGGGGGHHHJJJKKKLLLNNNPPPQQQRRRSSSSSSNNNMMMKKKHHHFFFEEEDDDCCCDDDDDDEEEEEEFFFFFFGGGGGGFFFFFFFFFFFFEEEDDDCCCBBB@@@AAACCCDDDCCC@@@===;;;;;;<<<===???@@@@@@AAAAAAFFFGGGGGGEEEBBBAAAAAABBB&&&&&&&&&&&&&&&&&&&&&&&&((('''''''''&&&&&&&&&&&&'''&&&&&&&&&&&&%%%%%%%%%&&&%%%$$$$$$&&&&&&%%%$$$$$$%%%&&&&&&$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%$$$$$$$$$%%%&&&((('''&&&%%%%%%%%%%%%&&&))))))((('''&&&$$$###"""%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%)))'''&&&$$$$$$%%%&&&'''%%%%%%%%%%%%&&&&&&'''((('''&&&&&&%%%%%%&&&&&&'''''''''((((((((((((''''''&&&''''''''''''''''''(((''''''''''''''''''''''''''''''''''''((((((((((((%%%&&&''''''((((((''''''))))))))))))))))))))))))))))))))))))************************+++++++++,,,+++,,,,,,,,,,,,+++******))))))))))))))))))))))))+++++++++*********))))))+++++++++,,,,,,,,,------///---,,,,,,...///...,,,,,,,,,---...............,,,------...//////000000111111000///...........................------,,,,,,,,,,,,------///000000000000000000000000000000////////////////////////000000000000000111111111666555333222222333444555555666777888999:::::::::999777555444333444555666444444333222111111111222222222333333444333333333222333444666666555555444555444444333333444444555444444555666777999999:::;;;<<<===>>>@@@@@@@@@@@@@@@@@@AAAAAA@@@??????>>>AAAAAAAAAAAA@@@???>>>>>>@@@AAACCCCCCDDDEEEHHHJJJKKKOOORRRRRRSSSVVVVVVRRRKKKFFF@@@<<<;;;;;;;;;;;;::::::<<<>>>@@@BBBCCCDDDEEEFFFGGGHHHIIIIIIIIIIIIHHHHHHGGGHHHHHHIIIJJJJJJLLLMMMMMMMMMLLLLLLKKKKKKIIIJJJKKKKKKKKKJJJIIIHHHGGGEEECCC@@@>>>===>>>>>>AAABBBCCCEEEGGGJJJLLLMMMKKKKKKLLLMMMNNNOOONNNNNNMMMKKKJJJIIIIIILLLOOOQQQOOOMMMLLLLLLMMMMMMKKKJJJFFFEEECCCAAAAAAAAABBBCCCBBBCCCEEEHHHKKKMMMLLLJJJNNNMMMLLLJJJIIIHHHHHHHHHIIIGGGEEEDDDDDDBBB???===<<<<<<;;;::::::;;;;;;<<<@@@CCCGGGJJJKKKJJJGGGFFFIIIGGGDDDAAA@@@@@@AAABBBEEEGGGJJJJJJHHHHHHIIIKKKMMMMMMNNNOOOOOOOOONNNNNNOOONNNLLLKKKJJJIIIGGGEEEIIIJJJKKKJJJIIIHHHJJJLLLLLLLLLNNNOOOQQQRRRSSSSSSNNNMMMKKKIIIGGGEEEDDDDDDEEEEEEEEEEEEFFFFFFGGGGGGGGGGGGGGGEEEDDDBBB@@@???===>>>???@@@@@@>>>;;;:::<<<======>>>????????????DDDEEEEEEDDDBBB@@@AAABBB&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&%%%$$$$$$&&&&&&%%%$$$$$$&&&'''&&&%%%###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''&&&%%%%%%$$$$$$%%%%%%&&&''''''&&&%%%%%%%%%&&&&&&(((((('''%%%### %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&'''''''''$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&((('''&&&%%%$$$%%%&&&'''&&&&&&%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&'''''''''(((((((((((('''''''''&&&&&&&&&&&&&&&&&&%%%''''''''''''''''''''''''&&&&&&&&&&&&''''''''''''&&&&&&'''(((((((((''''''(((((())))))******++++++************++++++++++++)))))))))*********++++++,,,,,,------,,,,,,+++***))))))))))))************+++++++++***************++++++++++++,,,,,,,,,,,,...---,,,,,,......---,,,++++++,,,---------------,,,------....../////////222111111000//////.....................---,,,,,,***++++++,,,---///111222000000000000000000000000//////////////////////////////000000000111111111444333222222222333555666333333444555666777888888888777555444333444666777666555444333222222222222333333333333333222111111333333333444444444555555555555444444444444555555555555555666777888888999;;;<<<===??????@@@@@@@@@AAA@@@??????>>>?????????CCCCCCCCCBBBAAA@@@???>>>???AAABBBCCCCCCEEEHHHJJJKKKOOOQQQPPPRRRWWWWWWUUULLLHHHBBB>>>======<<<<<<999:::===???AAACCCCCCCCCCCCDDDFFFHHHIIIIIIIIIIIIGGGGGGGGGHHHHHHJJJKKKLLLNNNNNNNNNNNNMMMMMMMMMLLLLLLKKKKKKJJJJJJIIIIIIIIIHHHFFFCCC@@@>>>>>>???@@@CCCCCCDDDEEEGGGIIIKKKLLLKKKLLLNNNPPPQQQPPPOOONNNKKKKKKJJJJJJKKKNNNQQQSSSTTTRRRPPPOOONNNMMMKKKIIIHHHGGGEEEDDDCCCCCCDDDEEEBBBCCCFFFJJJOOORRRSSSRRRPPPOOONNNMMMKKKJJJIIIIIIKKKJJJHHHGGGFFFDDDAAA???<<<===>>>??????>>><<<;;;BBBCCCEEEGGGHHHHHHHHHGGGHHHFFFDDDBBB@@@@@@AAABBBEEEFFFHHHHHHHHHHHHIIIKKKLLLLLLLLLLLLLLLMMMNNNOOOQQQOOONNNMMMLLLKKKHHHFFFHHHIIIJJJJJJJJJJJJKKKMMMLLLMMMNNNOOOPPPQQQRRRSSSOOONNNLLLJJJHHHFFFEEEEEEEEEEEEEEEEEEEEEFFFFFFFFFHHHGGGFFFEEECCCAAA???===;;;===>>>??????>>><<<;;;>>>>>>>>>>>>>>>>>>>>>>>>BBBCCCCCCCCCAAA@@@@@@AAA&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&'''((((((((('''&&&&&&(((((('''&&&%%%&&&''''''%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&'''&&&&&&%%%%%%%%%&&&&&&$$$$$$$$$$$$###"""!!! %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$######$$$%%%%%%&&&'''''''''&&&&&&%%%%%%%%%&&&'''''''''&&&%%%%%%%%%&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&''''''((((((''''''&&&&&&&&&&&&%%%%%%$$$$$$$$$''''''''''''''''''''''''&&&&&&'''''''''(((((((((''''''((((((((((((''''''&&&'''''')))***+++,,,,,,)))))))))*********++++++((())))))))))))*********++++++,,,,,,++++++***)))((()))))))))))))))*********************************++++++++++++,,,,,,,,,,,,,,,,,,,,,------------++++++,,,---------------,,,,,,---------.........////////////...---,,,,,,------.........---,,,,,,+++++++++,,,---...000111////////////////////////////////////////////////111111111222333333444444222222222222333444555666222333333444555666777888:::888666333222222222333666555444333222111111111222222333333333333333222444333333333333444555555555555444444444444555555777777777888888999999999<<<<<<>>>??????@@@@@@@@@AAA@@@>>>>>>===>>>???@@@BBBBBBBBBBBBBBBAAA@@@???>>>???AAABBBBBBDDDFFFIIIKKKOOOPPPOOORRRWWWXXXWWWMMMIIIDDD@@@???>>>>>>===999;;;>>>AAACCCCCCCCCBBBBBBCCCFFFHHHJJJJJJJJJJJJHHHHHHHHHIIIJJJKKKMMMNNNNNNNNNNNNMMMMMMMMMMMMMMMNNNMMMKKKJJJIIIIIIIIIIIIIIIGGGCCC@@@???@@@BBBCCCEEEEEEEEEFFFGGGHHHIIIJJJKKKMMMPPPRRRRRRQQQOOONNNNNNMMMLLLLLLLLLLLLMMMNNNTTTRRROOONNNNNNLLLJJJHHHHHHGGGFFFEEEEEEEEEEEEFFFDDDEEEGGGLLLQQQTTTUUUUUURRRQQQQQQPPPNNNMMMKKKKKKKKKIIIGGGFFFFFFDDDAAA>>><<>>BBBBBBCCCDDDEEEFFFGGGGGGFFFEEECCCAAA@@@@@@AAABBBCCCDDDDDDDDDEEEEEEGGGGGGJJJIIIHHHHHHIIIKKKMMMNNNQQQOOONNNMMMMMMKKKHHHFFFEEEGGGIIIJJJIIIIIIJJJLLLLLLLLLLLLMMMNNNOOOQQQQQQOOONNNLLLJJJHHHGGGGGGFFFDDDDDDDDDDDDDDDCCCCCCCCCEEEEEEEEEDDDCCCAAA??????>>>@@@AAABBBCCCBBBAAAAAA@@@@@@???>>>============@@@AAABBBAAA@@@???@@@AAA&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&###$$$$$$%%%&&&'''((((((((('''&&&&&&(((((('''&&&%%%'''((((((&&&%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''&&&&&&'''(((((((((((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$######$$$%%%%%%&&&''''''&&&&&&&&&%%%&&&&&&&&&&&&''''''&&&%%%%%%%%%&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&''''''''''''&&&&&&&&&&&&%%%%%%$$$$$$$$$###''''''''''''''''''''''''''''''((((((((()))))))))'''(((((((((((((((''''''%%%%%%&&&''')))***++++++((((((((()))))))))******((())))))))))))************************)))(((((('''''''''(((((()))))))))*********************************+++++++++,,,,,,***++++++,,,,,,,,,,,,---,,,,,,---............---,,,,,,,,,,,,------------.........///...---,,,,,,---------...---,,,,,,+++---,,,,,,,,,,,,---......////////////////////////////////////////////////000111111222333333444444111111111222333444555666333333333333444666777888999777555222000000111111444333222111000000000000000000222333444555666666444444333333333444555666666555555444444555555666999999:::::::::;;;;;;;;;<<<===>>>???????????????AAA@@@???>>>>>>???@@@AAA??????@@@AAABBBBBBBBBAAA===???@@@@@@@@@AAADDDFFFJJJNNNOOOOOOQQQVVVXXXVVVMMMIIIEEEBBB@@@@@@??????;;;===@@@BBBCCCCCCBBBBBBBBBDDDGGGJJJLLLLLLKKKJJJIIIIIIIIIJJJKKKMMMNNNOOOMMMMMMLLLKKKKKKKKKKKKLLLNNNMMMLLLJJJIIIIIIIIIIIIIIIGGGDDDBBBAAABBBDDDEEEFFFFFFFFFFFFGGGHHHIIIJJJLLLMMMPPPRRRRRRQQQNNNMMMNNNMMMMMMLLLKKKKKKKKKJJJOOONNNLLLKKKKKKKKKIIIGGGGGGFFFFFFFFFFFFFFFGGGGGGHHHHHHIIILLLPPPRRRSSSRRRRRRRRRRRRRRRPPPOOOMMMMMMHHHGGGEEEDDDDDDCCC@@@>>>;;;>>>CCCGGGHHHGGGDDDBBBAAAAAAAAAAAABBBCCCEEEGGGGGGFFFEEEDDDCCCCCCDDDDDDDDDCCCCCCCCCCCCDDDEEEEEEFFFEEEEEEEEEFFFHHHKKKLLLNNNMMMLLLMMMMMMKKKHHHEEECCCEEEGGGHHHHHHGGGHHHIIIJJJJJJIIIJJJKKKLLLNNNNNNMMMLLLKKKJJJIIIHHHHHHHHHCCCCCCBBBBBBAAAAAAAAA@@@AAABBBCCCCCCCCCCCCCCCCCCBBBCCCDDDEEEFFFFFFEEEEEEBBBAAA@@@>>>============???@@@AAA@@@???>>>???@@@&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$%%%%%%&&&'''((((((&&&%%%$$$$$$&&&&&&%%%$$$&&&((()))((('''%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%######$$$%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&''''''''''''((((((''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%###$$$$$$%%%%%%&&&&&&'''###$$$$$$%%%%%%&&&&&&'''%%%$$$$$$######$$$$$$%%%###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&'''&&&&&&''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((()))))))))***(((((()))))))))(((''''''$$$%%%&&&'''((()))******'''((((((((()))))))))))))))))))))*********++++++)))))))))***)))(((((('''&&&&&&''''''(((((())))))***************+++++++++************++++++++++++(((***++++++++++++,,,...,,,,,,---...............,,,,,,,,,,,,,,,,,,,,,,,,,,,---///000000000///...---------------,,,++++++------,,,,,,,,,,,,,,,---000000000000000000000000////////////////////////......///000111222222333000111111222333444444555444333333333444666888999777666444222111111333333222222111111000000111111///111222444666777888888444444444555555555666666666666555555555555666666:::::::::;;;<<<======>>>======>>>???????????????@@@@@@@@@???@@@@@@AAABBB>>>>>>@@@AAABBBCCCCCCCCC???@@@AAA@@@@@@@@@BBBDDDIIIMMMOOOOOOPPPUUUUUUSSSKKKHHHDDDBBBBBBBBBAAA@@@???@@@AAABBBCCCBBBBBBAAACCCEEEHHHKKKLLLLLLKKKIIIJJJJJJJJJKKKKKKMMMNNNOOOMMMLLLJJJIIIIIIIIIJJJKKKMMMLLLLLLKKKKKKJJJJJJJJJHHHGGGFFFEEEDDDDDDEEEFFFGGGGGGFFFGGGGGGHHHIIIJJJKKKMMMNNNOOOPPPNNNMMMLLLJJJJJJKKKLLLMMMMMMMMMLLLLLLKKKIIIIIIJJJIIIHHHFFFEEEFFFFFFGGGHHHIIIJJJJJJMMMLLLKKKLLLNNNOOOOOONNNOOOOOOPPPQQQPPPOOONNNMMMFFFEEEDDDDDDDDDCCCAAA???;;;>>>AAAEEEFFFEEECCCBBBAAA@@@@@@@@@AAACCCEEEFFFIIIIIIHHHHHHGGGHHHHHHHHHHHHFFFDDDCCCDDDEEEEEEDDDCCCCCCCCCDDDFFFHHHIIIJJJKKKJJJKKKLLLLLLKKKHHHEEEBBBDDDGGGHHHGGGFFFFFFGGGGGGFFFFFFFFFFFFHHHJJJKKKJJJIIIIIIIIIIIIIIIJJJJJJCCCCCCBBBBBBAAA@@@??????>>>???AAACCCEEEFFFFFFGGGDDDDDDEEEFFFFFFFFFFFFFFFDDDCCCAAA???>>>>>>>>>>>>@@@AAAAAAAAA???>>>>>>???&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&'''''''''&&&%%%$$$$$$&&&&&&%%%$$$'''((())))))'''&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%"""###$$$&&&''''''&&&&&&%%%%%%%%%%%%%%%&&&'''((($$$$$$%%%%%%%%%$$$######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%######$$$%%%%%%&&&''''''######$$$%%%%%%&&&''''''%%%$$$$$$######$$$$$$%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&'''''''''&&&%%%%%%%%%%%%&&&&&&'''((('''&&&&&&%%%%%%&&&&&&'''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((((()))))))))))))))))))))(((''''''&&&&&&'''((()))*********(((((()))))))))*********************+++++++++,,,***************)))((((((&&&''''''((())))))******))))))*********+++++++++************++++++++++++''')))++++++******,,,...++++++,,,---------------,,,,,,++++++++++++++++++)))+++---///000000///...,,,------------,,,++++++++++++++++++,,,---......000000000000000000000000////////////////////////---...///000111222333333000111222333333333333333333333222222333555777888:::999666444222222333444222222111111111222333333222333444666777888888888444555666777777777666555666666555555555555666666888999:::;;;<<<===>>>???======>>>????????????>>>@@@@@@AAABBBBBBBBBBBBBBB@@@AAABBBCCCCCCCCCCCCCCCBBBCCCCCCBBBAAAAAABBBDDDHHHLLLOOOOOOPPPSSSSSSOOOIIIFFFCCCBBBBBBCCCBBBAAACCCBBBBBBBBBAAAAAAAAAAAACCCEEEHHHKKKLLLKKKIIIGGGJJJJJJIIIIIIJJJKKKLLLLLLMMMLLLJJJIIIHHHIIIJJJKKKJJJKKKLLLMMMMMMLLLKKKJJJGGGGGGGGGGGGGGGFFFFFFFFFGGGFFFFFFGGGHHHIIIJJJJJJKKKLLLLLLLLLLLLLLLKKKKKKHHHIIILLLNNNOOOOOOOOONNNNNNLLLJJJJJJJJJJJJHHHFFFEEEFFFGGGIIIKKKLLLMMMNNNQQQOOOMMMMMMMMMMMMLLLKKKIIIKKKLLLNNNNNNMMMLLLKKKGGGFFFEEEFFFGGGGGGEEECCC@@@AAABBBCCCDDDCCCBBBBBBBBBAAAAAABBBCCCDDDFFFGGGHHHHHHHHHHHHHHHHHHHHHHHHJJJGGGCCCBBBCCCDDDCCCBBBAAABBBDDDFFFHHHIIIJJJJJJIIIIIIJJJLLLMMMLLLIIIGGGCCCFFFHHHIIIGGGFFFFFFFFFDDDCCCBBBBBBBBBDDDFFFGGGFFFFFFGGGGGGHHHJJJKKKLLLEEEEEEDDDCCCBBBAAA@@@???>>>???AAADDDFFFGGGHHHHHHFFFFFFGGGGGGGGGGGGGGGGGGEEEDDDBBB@@@??????@@@AAAAAABBBBBBAAA???===>>>???&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''((('''&&&&&&(((((('''&&&'''(((***)))'''&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''"""###$$$&&&''''''&&&&&&%%%%%%%%%%%%%%%&&&'''((($$$$$$%%%&&&''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%######$$$%%%%%%&&&''''''######$$$%%%%%%&&&''''''%%%$$$$$$$$$$$$$$$$$$%%%#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&'''''''''&&&$$$$$$$$$%%%&&&'''((()))'''&&&&&&%%%%%%&&&&&&'''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((()))))))))))))))(((''''''(((((())))))******++++++)))************+++++++++***++++++++++++,,,,,,,,,+++++++++++++++***))))))'''(((((()))***+++++++++))))))******++++++++++++)))************+++++++++&&&)))++++++)))))),,,...******+++,,,,,,,,,,,,+++,,,+++++++++++++++++++++%%%'''***,,,......------,,,,,,---------,,,++++++))))))***+++,,,...///000000000000000000000000000///////////////////////////000111222333444555555111111222333333333222222333222111111222444666888@@@>>>:::666333111111111222222222222333444555555555555666777888888777777444555777999999888666555666666555555555555666666777888999:::<<<===>>>???===>>>>>>????????????>>>???@@@BBBCCCDDDCCCBBBBBBCCCDDDDDDDDDDDDDDDCCCCCCEEEEEEEEEDDDBBBBBBCCCDDDGGGLLLOOOOOOPPPRRRQQQMMMGGGEEECCCBBBCCCCCCCCCBBBEEEDDDCCCBBBAAA@@@@@@@@@CCCEEEHHHJJJKKKIIIGGGEEEIIIIIIHHHHHHHHHIIIIIIJJJMMMLLLJJJIIIHHHIIIKKKLLLIIIJJJLLLNNNNNNMMMKKKJJJFFFGGGHHHIIIIIIHHHFFFEEEFFFFFFFFFGGGHHHIIIJJJKKKKKKKKKKKKJJJJJJJJJJJJJJJJJJLLLNNNPPPQQQPPPOOONNNQQQOOOMMMLLLKKKJJJHHHFFFEEEFFFHHHKKKMMMOOOPPPQQQRRRPPPNNNMMMMMMMMMLLLKKKEEEGGGIIIKKKLLLKKKJJJIIIHHHGGGGGGHHHIIIJJJHHHGGGGGGFFFFFFEEEDDDCCCCCCCCCCCCCCCCCCDDDEEEFFFGGGHHHEEEEEEEEEEEEEEEFFFFFFFFFIIIEEEAAA???@@@AAA@@@>>>AAABBBEEEHHHJJJKKKKKKKKKHHHHHHJJJLLLNNNNNNKKKHHHEEEGGGJJJJJJHHHGGGFFFFFFBBBAAA@@@???@@@BBBDDDEEEDDDDDDEEEFFFHHHJJJLLLMMMGGGGGGFFFDDDCCCBBBAAAAAA???AAABBBDDDFFFGGGHHHIIIIIIIIIIIIIIIIIIIIIIIIIIIFFFDDDBBB@@@@@@@@@AAABBBBBBCCCCCCBBB???======>>>(((((())))))))))))(((((($$$$$$%%%&&&&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''$$$&&&)))++++++)))&&&$$$)))((('''&&&%%%$$$######&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''(((((('''%%%$$$'''&&&$$$######$$$&&&'''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%$$$$$$&&&((())))))(((%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&'''''''''###"""!!!!!!!!!"""$$$%%%###$$$$$$%%%%%%$$$$$$###((('''%%%$$$###$$$$$$%%%'''&&&$$$$$$$$$$$$&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$&&&(((((('''&&&%%%&&&%%%###!!!!!!"""###$$$&&&&&&$$$$$$$$$$$$&&&&&&&&&&&&%%%&&&&&&'''((()))***)))'''&&&&&&''')))***&&&'''''''''&&&%%%%%%$$$&&&%%%%%%$$$#########$$$(((''''''''''''((())))))))))))(((((('''''''''&&&''''''((()))))))))))))))((((((((((((((('''&&&&&&%%%$$$$$$%%%%%%&&&'''((())))))***++++++++++++***,,,++++++***)))(((''''''%%%%%%&&&'''((()))******))))))))))))************++++++******************+++++++++***************))))))***+++,,,------...++++++******++++++,,,---,,,------......---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------------,,,,,,////////////000000000000111000/////////000111222...///111222333333222222333222111000111222333444222222222333444555666666>>><<<999666333333333333333333444555666666555555777777777777777777777777777777888888888999999999888777555444444444666777888999<<<>>>??????>>>=========<<<<<<<<<>>>???@@@CCC???<<<<<>>AAA@@@BBBEEEEEEEEEEEEFFFHHHFFFHHHKKKKKKHHHEEECCCCCCKKKJJJIIIHHHGGGGGGGGGGGGIIIHHHHHHHHHGGGFFFFFFFFFHHHGGGEEEDDDDDDEEEGGGHHHHHHGGGFFFFFFFFFGGGHHHIIIJJJIIIIIIIIIIIIHHHHHHHHHIIIIIIIIIIIIKKKMMMOOOPPPNNNNNNNNNMMMLLLKKKJJJIIIIIIJJJKKKLLLNNNOOOPPPQQQRRRPPPMMMLLLLLLLLLLLLKKKKKKHHHEEEDDDEEEHHHIIIIIIIIIJJJLLLMMMMMMKKKIIIHHHKKKIIIFFFCCCBBBCCCEEEFFFIIIIIIGGGFFFFFFFFFGGGHHHGGGFFFEEECCCCCCCCCCCCDDDCCC@@@>>>>>>@@@AAAAAA@@@CCCDDDDDDEEEFFFHHHIIIJJJIIIIIIJJJJJJJJJIIIGGGGGGDDDEEEGGGHHHHHHFFFDDDBBB@@@???>>>>>>>>>???@@@AAACCCDDDGGGIIIJJJKKKJJJJJJHHHGGGGGGEEEDDDBBBAAAAAAAAABBBDDDFFFGGGHHHHHHGGGJJJKKKKKKKKKKKKIIIHHHGGGGGGCCC???>>>???BBBCCCDDDDDDCCCBBB@@@>>><<<;;;:::$$$$$$%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%&&&(((******(((&&&%%%'''&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''&&&%%%%%%'''&&&$$$######$$$&&&'''%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&%%%$$$&&&((()))((('''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&'''$$$######"""###$$$%%%&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%$$$$$$$$$%%%&&&'''%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&'''''''''&&&%%%'''&&&%%%######$$$%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%&&&&&&'''((())))))(((&&&%%%$$$$$$$$$%%%&&&&&&''''''&&&&&&%%%$$$'''&&&&&&%%%$$$$$$%%%%%%&&&&&&%%%%%%&&&&&&'''((()))(((((((((''''''''''''''''''((()))))))))))))))+++++++++++++++***))))))))))))((())))))***+++,,,))))))***++++++++++++***+++++++++******))))))((('''''''''((())))))******))))))))))))******************************************************++++++*********++++++,,,,,,---,,,,,,,,,,,,,,,---......------------------------...........................---------------------....../////////000000000/////////000111333444555222333333444333111000///222222222222222333444444333333333333444555666777<<<:::777444222222222222555555666777777777777777777777777777777777777777888888888888888888888888888777555444444555777888999:::<<<>>>@@@@@@???>>>>>>============>>>???@@@BBB???<<<<<<>>>AAABBBBBBCCCAAA@@@??????@@@AAABBBCCCCCCCCCCCCCCCCCCCCCCCCHHHLLLRRRUUUTTTQQQNNNLLLLLLJJJGGGDDDCCCDDDFFFHHHJJJJJJIIIEEE@@@======??????AAADDDDDDDDDDDDEEEGGGGGGJJJLLLMMMKKKHHHFFFFFFGGGFFFEEEDDDDDDCCCDDDDDDGGGGGGGGGGGGFFFFFFFFFFFFHHHGGGFFFEEEEEEFFFGGGHHHGGGFFFFFFEEEFFFGGGHHHIIIJJJJJJIIIIIIIIIHHHHHHHHHIIIHHHHHHHHHIIIKKKLLLMMMNNNNNNNNNMMMMMMLLLJJJJJJJJJJJJKKKMMMNNNOOOPPPQQQQQQNNNLLLKKKLLLMMMLLLLLLKKKHHHDDDCCCDDDFFFGGGHHHHHHJJJLLLNNNOOONNNNNNMMMKKKJJJGGGDDDCCCCCCDDDEEEHHHHHHGGGFFFFFFGGGHHHIIIHHHIIIIIIIIIHHHFFFEEEDDD@@@???===>>>AAACCCDDDDDDDDDDDDDDDEEEFFFGGGHHHIIIHHHIIIIIIIIIIIIHHHFFFEEEEEEFFFHHHIIIIIIGGGEEECCC@@@??????>>>???@@@AAABBBCCCDDDEEEGGGIIIIIIJJJJJJIIIHHHFFFEEECCCBBBAAAAAACCCDDDFFFGGGIIIIIIIIIIIIIIIIIIJJJJJJIIIHHHFFFEEEEEEBBB>>>===>>>AAABBBCCCEEEDDDCCCAAA@@@>>>===<<<%%%&&&&&&''''''&&&&&&%%%(((((('''&&&&&&%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&'''(((((((((((('''&&&%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$&&&&&&###$$$$$$%%%&&&'''((()))&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&''''''&&&%%%&&&'''((('''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''$$$$$$%%%%%%%%%%%%&&&&&&%%%$$$$$$$$$$$$%%%&&&&&&%%%&&&&&&''''''&&&&&&%%%$$$######$$$$$$%%%&&&'''######$$$$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''')))(((&&&%%%%%%%%%&&&'''&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%&&&'''((()))))))))(((&&&%%%$$$###"""&&&&&&''''''&&&&&&%%%%%%''''''&&&&&&%%%%%%&&&&&&$$$$$$$$$$$$$$$%%%%%%&&&((((((((((((''''''''''''''''''((()))))))))((((((((((((((()))(((((('''&&&''''''''''''((()))***+++((()))******++++++******++++++++++++++++++++++++))))))))))))))))))))))))))))))))))))************************************)))))))))***+++++++++,,,++++++++++++++++++++++++...------------...//////...---,,,,,,,,,,,,......////////////////////////........................------........./////////000111222444444555444444333444444555444222111000111111222444444555555555333333333333444555666777999888555333222111111111666777777888888888888888666666666666666666666666888888888888777777777777888777666555555666888999:::<<<>>>???@@@@@@@@@?????????>>>>>>>>>???@@@@@@AAA>>><<<<<<>>>AAABBBBBB@@@@@@???>>>>>>???AAABBBAAABBBBBBCCCCCCDDDDDDDDDIIIMMMRRRUUUTTTQQQNNNMMMMMMKKKHHHEEEDDDEEEFFFHHHKKKKKKKKKHHHDDDAAA@@@@@@>>>@@@BBBCCCCCCCCCDDDEEEFFFIIIKKKLLLJJJIIIHHHHHHEEEDDDCCCBBBAAAAAAAAAAAAEEEEEEEEEEEEFFFFFFFFFFFFFFFGGGGGGGGGGGGGGGGGGFFFEEEEEEDDDDDDEEEGGGHHHJJJJJJJJJIIIIIIIIIIIIHHHHHHHHHGGGGGGFFFGGGHHHIIIJJJMMMMMMNNNMMMMMMLLLKKKJJJJJJKKKLLLMMMNNNOOOPPPQQQOOOMMMJJJJJJKKKMMMMMMLLLHHHEEEBBB@@@AAACCCDDDDDDDDDFFFIIIKKKNNNOOOOOOOOOLLLJJJGGGEEECCCCCCCCCDDDGGGFFFFFFFFFGGGHHHIIIJJJIIIJJJLLLLLLKKKHHHEEECCC???>>>===???BBBEEEGGGGGGFFFEEEEEEEEEEEEFFFGGGHHHHHHHHHIIIIIIHHHFFFEEEDDDFFFGGGIIIJJJJJJHHHEEEDDD@@@@@@??????@@@BBBCCCEEEDDDDDDEEEFFFGGGIIIJJJKKKLLLJJJGGGDDDCCCBBBBBBCCCCCCDDDEEEGGGHHHHHHHHHHHHGGGHHHHHHHHHHHHFFFEEEDDDCCC@@@===<<<>>>@@@AAAAAAEEEDDDCCCBBBAAA@@@??????''''''((((((((((((''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&''''''''''''&&&&&&'''''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''((('''%%%&&&&&&'''%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$%%%%%%"""###$$$%%%%%%$$$###"""%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%&&&'''((((((((('''&&&%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((((((*********)))(((&&&%%%$$$%%%&&&&&&'''&&&&&&%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&$$$$$$$$$###$$$%%%%%%&&&((((((((((((((('''''''''''''''((((((((((((((('''&&&&&&'''''''''&&&&&&%%%&&&%%%%%%&&&&&&'''((()))((())))))*********************+++++++++,,,,,,,,,+++++++++*********))))))((()))))))))***************************+++++++++(((((()))***+++,,,,,,,,,,,,,,,,,,++++++*********...------------...//////...---,,,++++++,,,...000////////////////////////.........///////////////------------.........///444555666777666444111///111222333555555555555444///111333555666666666666444444333333444555666666777666555333222222222222666777888888888888777777555555555555555555555555888777777777777666666666777777777777777888999:::<<<===>>>@@@@@@AAA@@@@@@@@@@@@??????????????????@@@???======???@@@BBBBBBAAAAAA@@@?????????@@@@@@@@@@@@AAABBBCCCDDDEEEEEEJJJMMMRRRTTTRRRPPPNNNMMMLLLJJJGGGEEECCCCCCDDDEEEGGGHHHJJJJJJHHHFFFDDDCCC<<<>>>AAAAAAAAAAAABBBDDDCCCEEEHHHIIIHHHGGGGGGGGGEEEDDDCCCBBBBBBAAAAAAAAACCCCCCDDDDDDEEEEEEFFFFFFEEEFFFGGGIIIIIIGGGFFFEEECCCCCCCCCCCCDDDFFFHHHIIIIIIIIIIIIIIIHHHHHHHHHHHHHHHGGGFFFEEEEEEFFFGGGHHHLLLLLLMMMMMMMMMLLLKKKKKKJJJKKKKKKLLLNNNOOOOOOPPPLLLJJJIIIIIIKKKLLLMMMMMMEEEBBB???===>>>???@@@@@@@@@BBBDDDGGGIIIJJJKKKLLLKKKIIIGGGDDDCCCBBBBBBCCCFFFFFFFFFGGGHHHJJJKKKKKKJJJJJJKKKKKKJJJGGGEEECCCAAA??????@@@CCCFFFGGGHHHFFFFFFEEEEEEEEEEEEFFFFFFHHHHHHIIIIIIHHHGGGEEEDDDEEEFFFHHHJJJIIIGGGEEECCC@@@@@@@@@@@@AAACCCEEEFFFFFFFFFEEEFFFGGGIIIKKKMMMOOOMMMIIIFFFDDDDDDEEEFFFBBBCCCCCCDDDEEEEEEEEEEEEGGGGGGHHHHHHGGGFFFDDDCCCBBB@@@======>>>@@@AAABBBCCCCCCBBBBBBAAA@@@??????%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''((('''&&&%%%%%%&&&'''(((''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''((('''%%%%%%&&&&&&%%%###$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%$$$$$$###&&&&&&%%%%%%$$$###"""!!!"""###$$$%%%%%%$$$###"""%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%&&&'''((('''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''(((((((((((()))(((((('''&&&%%%%%%&&&&&&'''&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''(((((((((((((((''''''((((((((((((''''''((())))))******)))))))))(((''''''(((((()))***+++(((((()))************)))*********+++,,,,,,------,,,,,,++++++******))))))((()))))))))************))))))*********+++++++++(((((()))***+++,,,,,,,,,---,,,,,,++++++*********,,,,,,++++++,,,,,,---......---+++++++++---///000....................................//////000000------------.........///333555777888777444111///111222444555666666555555///111333555666666666666444333333333333444444555555555555444444333333333555666666777666666555555444444444444444444444444666666666666666666666666777777777888999:::;;;;;;>>>>>>???@@@@@@AAAAAAAAA@@@@@@@@@@@@??????>>>>>>>>>>>>>>>>>>>>>???AAABBBCCCCCCBBBAAA@@@?????????>>>???@@@AAABBBCCCDDDEEEHHHKKKOOOQQQPPPNNNNNNMMMLLLJJJHHHEEEDDDCCCDDDDDDEEEFFFGGGIIIIIIGGGDDDBBB;;;===???@@@@@@@@@AAABBBBBBDDDFFFGGGFFFFFFFFFGGGEEEDDDCCCBBBBBBAAAAAAAAACCCCCCCCCDDDDDDEEEEEEFFFDDDEEEGGGHHHHHHGGGEEEDDDBBBBBBBBBBBBCCCEEEGGGHHHHHHHHHHHHHHHGGGGGGGGGGGGHHHGGGFFFEEEEEEEEEFFFGGGJJJJJJKKKLLLLLLLLLKKKKKKJJJJJJKKKKKKLLLMMMNNNNNNKKKIIIGGGHHHJJJLLLLLLLLLFFFCCC???>>>???AAABBBBBBAAAAAACCCEEEFFFGGGHHHIIIJJJIIIGGGEEECCCCCCBBBBBBFFFGGGHHHIIIJJJKKKLLLMMMMMMLLLKKKIIIHHHGGGGGGGGGEEECCCBBBBBBDDDFFFGGGFFFGGGFFFEEEEEEDDDEEEEEEEEEHHHIIIJJJJJJJJJIIIGGGFFFDDDEEEGGGHHHHHHFFFDDDBBB@@@@@@@@@@@@AAACCCEEEGGGHHHGGGGGGHHHIIIKKKMMMOOOQQQNNNKKKHHHGGGGGGHHHJJJDDDDDDDDDDDDDDDEEEEEEEEEGGGGGGHHHHHHGGGFFFDDDCCCBBB@@@>>>>>>@@@BBBBBBBBBAAAAAA@@@@@@???>>>======''''''((((((((((((''''''$$$$$$%%%%%%&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''''''''&&&&&&&&&&&&'''''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''(((&&&%%%%%%&&&&&&%%%######$$$$$$%%%%%%&&&&&&'''#########$$$$$$$$$%%%%%%''''''&&&&&&&&&&&&%%%%%%###$$$$$$$$$$$$$$$###"""%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&%%%$$$""" ######$$$$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&''''''&&&&&&$$$$$$#########$$$%%%%%%&&&&&&&&&&&&&&&'''(((((('''''''''(((((((((((((((''''''((((((((('''&&&&&&&&&''''''(((((((((((((((&&&&&&&&&&&&'''((())))))'''((())))))******)))))))))*********++++++,,,,,,,,,+++++++++******))))))))))))))))))************)))))))))***++++++,,,,,,)))))))))***+++++++++,,,,,,,,,,,,++++++*********+++************+++,,,,,,---,,,++++++,,,---///000---------------------------------......//////000------........./////////...000333555666555444222444555555666555333222111111111222444444555555555333333222222222222333333444444444444444444444444555555555555555444444333333333333333333333333333555555555555666666666777777777888999:::<<<<<<===>>>>>>?????????@@@@@@@@@@@@@@@@@@@@@???>>>===<<<;;;<<<============???AAABBBBBBBBBAAA@@@@@@??????======>>>???AAABBBBBBCCCEEEGGGKKKLLLLLLLLLMMMMMMMMMLLLJJJGGGFFFEEEEEEEEEFFFEEEEEEEEEEEECCC???<<<;;;===???@@@@@@@@@AAABBBCCCEEEGGGGGGFFFFFFGGGHHHEEEDDDCCCBBBAAAAAAAAAAAADDDDDDDDDDDDEEEEEEEEEEEECCCDDDFFFGGGGGGFFFDDDCCCBBBBBBAAAAAABBBDDDFFFGGGGGGGGGGGGFFFFFFFFFEEEEEEGGGFFFEEEDDDCCCDDDEEEFFFHHHHHHIIIJJJJJJKKKJJJJJJIIIIIIIIIJJJKKKLLLLLLLLLJJJHHHGGGGGGIIIKKKKKKKKKIIIFFFCCCBBBCCCFFFGGGGGGDDDEEEEEEFFFGGGIIIIIIJJJJJJIIIHHHGGGFFFEEEEEEEEEHHHHHHJJJKKKMMMMMMNNNNNNOOONNNLLLJJJJJJJJJKKKLLLHHHFFFDDDDDDEEEFFFFFFFFFFFFEEEEEEDDDDDDDDDEEEEEEGGGHHHIIIJJJKKKJJJIIIIIICCCEEEGGGHHHHHHFFFCCCBBBAAA@@@@@@@@@AAACCCDDDEEEHHHHHHIIIJJJKKKMMMNNNOOOOOONNNLLLJJJIIIJJJKKKLLLIIIHHHGGGGGGFFFGGGGGGHHHFFFGGGGGGGGGGGGEEEDDDCCCAAA@@@>>>>>>@@@BBBCCCBBBAAA@@@???>>>===<<<;;;;;;((())))))******))))))(((%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&''''''%%%$$$%%%&&&&&&%%%$$$######$$$%%%%%%&&&''''''$$$$$$$$$%%%%%%%%%&&&&&&(((((((((''''''&&&&&&&&&%%%%%%&&&&&&&&&%%%###"""%%%&&&&&&''''''&&&&&&%%%$$$%%%%%%%%%$$$###!!! %%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&'''''''''&&&%%%%%%%%%%%%%%%%%%$$$######$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%&&&'''(((((('''&&&%%%$$$$$$%%%&&&$$$%%%&&&&&&''''''&&&&&&$$$$$$$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&''''''(((''''''''''''((((((((()))''''''((((((''''''&&&%%%###$$$%%%%%%&&&&&&&&&%%%$$$$$$$$$%%%%%%&&&'''((('''(((((()))))))))))))))))))))*********************************)))))))))))))))))))))************((())))))***++++++,,,,,,******************++++++,,,,,,++++++++++++++++++***************+++,,,,,,++++++,,,,,,---......///------------------------+++,,,,,,---......//////....../////////000000000,,,...000333444444333333444444555555444333111000222222222222222333444444222222111111000111111222111111222333333444444333555555555555555444333333333333333333333333333333333333444555666666777777666777999:::<<<======>>>>>>>>>>>>>>>>>>???@@@@@@@@@@@@@@@@@@???===;;;:::777999;;;:::999999;;;===>>>>>>???@@@@@@@@@@@@@@@<<<======>>>???@@@@@@AAAAAACCCGGGHHHIIIJJJLLLMMMLLLKKKIIIGGGEEEDDDCCCCCCBBBAAA???@@@AAA???<<<999;;;===???@@@@@@@@@AAABBBCCCDDDFFFEEEDDDDDDEEEFFFGGGFFFEEEDDDDDDCCCDDDDDDFFFFFFEEEEEEEEEEEEEEEDDDBBBCCCDDDEEEEEEDDDCCCBBBBBBBBBAAAAAAAAABBBDDDEEEEEEEEEEEEEEEDDDDDDDDDDDDDDDCCCBBBAAABBBBBBDDDDDDEEEFFFGGGHHHIIIIIIIIIIIIGGGHHHHHHIIIIIIJJJJJJJJJJJJHHHFFFFFFHHHIIIJJJIIIIIIFFFDDDCCCEEEHHHJJJJJJFFFFFFGGGHHHIIIKKKLLLMMMKKKKKKJJJJJJJJJIIIIIIIIIJJJKKKLLLNNNOOOOOONNNNNNLLLLLLLLLLLLLLLLLLKKKKKKIIIGGGEEEEEEFFFGGGGGGGGGEEEEEEDDDDDDDDDEEEEEEFFFDDDEEEGGGIIIJJJJJJJJJIIIDDDFFFHHHIIIHHHGGGDDDCCCAAAAAA@@@@@@@@@AAACCCDDDFFFGGGIIIJJJLLLMMMMMMMMMKKKKKKJJJJJJJJJJJJKKKKKKKKKJJJIIIGGGGGGGGGHHHHHHEEEEEEFFFFFFEEEDDDBBBAAA@@@>>>===>>>@@@BBBBBBAAAAAAAAA???>>><<<;;;:::999$$$%%%%%%%%%%%%%%%%%%$$$(((''''''&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%&&&&&&''''''&&&&&&%%%###$$$$$$%%%&&&(((((()))&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''(((((('''%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$###$$$$$$%%%&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&%%%$$$$$$&&&&&&%%%$$$######$$$%%%%%%&&&''''''%%%%%%%%%&&&&&&&&&''''''))))))((((((((('''''''''&&&&&&'''((('''&&&$$$######$$$$$$%%%%%%$$$$$$###"""###$$$%%%%%%$$$"""!!!'''&&&%%%$$$$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$&&&(((((('''&&&%%%%%%%%%&&&&&&%%%%%%$$$###$$$$$$&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$%%%&&&''''''---,,,)))&&&%%%%%%&&&'''$$$%%%%%%&&&'''''''''&&&%%%%%%%%%%%%&&&&&&'''(((&&&&&&%%%%%%&&&&&&'''(((&&&'''''''''(((((())))))'''((((((((('''&&&%%%%%%&&&''''''((()))))))))((()))(((((())))))***+++,,,'''(((((()))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))************((())))))***++++++,,,,,,+++++++++***************++++++++++++++++++++++++++++++******++++++,,,---***+++,,,---....................................++++++,,,,,,---...//////////////////000000000000//////000111111111000000000111222444555444444333333222111000111222333444111111000000000000000111//////111222222333333222555555666666555444333333222222222222222222222222111222333444555777888888666777999;;;<<<>>>>>>>>>>>>>>>>>>===>>>>>>???@@@???@@@@@@???>>><<<:::999444666888888666666888;;;:::;;;<<<>>>@@@AAABBBBBB<<<<<<======>>>>>>??????>>>AAADDDFFFGGGIIIKKKMMMJJJIIIGGGEEECCCAAAAAA@@@===;;;:::;;;>>>???===;;;;;;===???@@@@@@@@@AAABBBAAABBBCCCBBBAAA@@@AAACCCKKKJJJIIIHHHGGGGGGGGGGGGGGGGGGFFFFFFEEEEEEDDDDDDBBBBBBCCCCCCCCCCCCBBBBBBCCCBBBAAAAAAAAABBBCCCDDDDDDDDDDDDDDDCCCCCCCCCCCCAAAAAA@@@@@@@@@AAABBBCCCDDDEEEFFFGGGHHHIIIIIIIIIGGGGGGGGGHHHHHHIIIIIIIIIKKKHHHFFFFFFGGGIIIIIIHHHGGGDDDBBBBBBDDDGGGIIIJJJEEEEEEFFFGGGIIILLLMMMOOOMMMMMMMMMMMMMMMMMMMMMMMMKKKLLLNNNOOOPPPPPPOOONNNFFFHHHJJJLLLLLLKKKIIIHHHIIIGGGEEEEEEGGGHHHIIIHHHDDDDDDDDDDDDDDDEEEFFFFFFBBBCCCFFFHHHIIIJJJJJJJJJEEEGGGIIIJJJJJJHHHEEEDDDBBBAAA@@@@@@@@@AAABBBCCCEEEFFFHHHKKKLLLLLLLLLLLLHHHIIIIIIJJJJJJJJJKKKKKKJJJIIIGGGFFFEEEFFFFFFGGGCCCDDDDDDDDDDDDBBBAAA@@@>>>===<<<===???AAAAAA@@@BBBBBB@@@>>><<<;;;999999&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''***)))((('''&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%&&&&&&&&&''''''(((((('''&&&%%%$$$$$$###""""""#########$$$$$$$$$$$$$$$$$$$$$%%%&&&''''''&&&&&&&&&''''''''''''((((((''''''''''''&&&&&&&&&))))))(((&&&&&&%%%%%%%%%&&&&&&&&&'''&&&&&&%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&& ###&&&&&&%%%%%%&&&)))######$$$%%%%%%%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%%%%$$$$$$%%%&&&''''''&&&%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%$$$######''''''''''''&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%&&&'''$$$$$$%%%&&&'''((()))***((('''&&&%%%$$$%%%%%%&&&)))(((&&&&&&((()))((('''***(((&&&&&&)))***(((%%%)))))))))(((''''''&&&&&&*********))))))))))))))))))***+++,,,+++)))'''&&&***************)))((('''(((((()))***++++++,,,,,,+++++++++******)))))))))---------,,,,,,+++++++++---..................---***+++,,,---............000000000000000///......111000///...------......000000000000000000//////000111222333333222111000111222222222222111111000111111111111000000000000111111000000000000000000333333333333444555666666<<<;;;999888777555222000111111000000111222333333333333222222222333333444555666888:::;;;;;;;;;;;;======<<<<<<<<<>>>@@@AAA???>>>============:::888777666666666666777777888<<<===???@@@AAAAAA@@@???=========???AAABBBAAA?????????@@@CCCFFFHHHHHHGGGOOOJJJDDDBBBBBBDDDCCCBBB???>>><<<:::999999999999===???AAABBBAAAAAABBBDDDGGGFFFEEEBBB@@@@@@CCCFFFFFFGGGHHHIIIIIIIIIIIIIIIGGGFFFEEEDDDCCCCCCCCCCCCBBBBBBBBBBBBCCCCCCDDDDDDCCCBBBAAA??????@@@AAABBBCCCDDDEEEDDDCCCBBBCCCDDDGGGEEEDDDEEEGGGHHHEEEBBBBBBBBBBBBBBBCCCDDDEEEFFFCCCCCCDDDDDDFFFHHHIIIJJJMMMJJJGGGEEEDDDEEEFFFGGGJJJKKKJJJGGGDDDDDDGGGJJJDDDEEEGGGJJJMMMQQQTTTUUUPPPOOONNNLLLJJJIIIHHHHHHIIIKKKNNNPPPQQQOOOMMMKKKIIIJJJJJJKKKJJJJJJIIIIIIHHHGGGEEEDDDCCCDDDFFFGGGDDDDDDDDDCCCBBBBBBAAAAAAEEEEEEFFFGGGHHHIIIIIIJJJIIIIIIIIIIIIIIIIIIIIIHHHGGGHHHIIIGGGEEEDDDDDDEEEEEEGGGJJJLLLMMMMMMMMMLLLIIIJJJJJJJJJIIIHHHGGGGGGJJJIIIHHHFFFEEEEEEFFFFFFCCCCCCBBBAAA???===;;;:::;;;<<<===<<<;;;<<<>>>@@@AAA@@@???>>><<<:::999999&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''''''''''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&%%%%%%#########$$$$$$$$$%%%%%%&&&&&&%%%$$$$$$%%%%%%%%%&&&&&&&&&''''''''''''(((''''''''''''&&&&&&&&&&&&)))((('''&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&((((((((((((((((((((((((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&!!!$$$&&&&&&%%%$$$&&&'''######$$$%%%%%%%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%%%%%%%%%%%%%%%%''''''&&&%%%%%%%%%%%%%%%'''((('''$$$!!!%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&%%%%%%$$$######&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''$$$$$$%%%&&&'''((())))))((('''&&&%%%$$$%%%%%%&&&&&&%%%$$$%%%(((******)))+++)))''''''((((((&&&$$$'''''''''((((((((((((((())))))))))))))))))))))))((()))***++++++***((('''))))))************))))))(((((()))******+++,,,,,,,,,+++++++++************------,,,,,,,,,++++++++++++,,,,,,------,,,,,,+++,,,---...//////000//////000000000000000///......//////////////////......------------------------000000111222222111000000//////000111111111111000000000000000000000000111111111111111111111111111222222222222333444555555444333222222222222000...111111000111111222222333333333222222333444555555555666888999::::::::::::<<<<<<<<<<<<===>>>?????????===<<<===>>>===;;;999777777666555666777888999<<<===???@@@AAA@@@@@@@@@>>>>>>>>>@@@CCCEEEEEEDDDBBBBBBDDDGGGLLLOOOOOOOOOPPPLLLFFFBBBBBBBBBAAA@@@===<<<:::999888888999:::;;;===???@@@@@@@@@AAABBBGGGGGGFFFDDDAAAAAACCCEEEFFFGGGGGGGGGGGGGGGFFFEEEEEEDDDBBB@@@?????????@@@AAAAAABBBCCCDDDDDDDDDDDDDDDCCCCCCBBBBBBBBBBBBBBBBBBCCCDDDCCCBBBAAABBBCCCEEECCCBBBDDDFFFGGGEEECCCBBBBBBBBBBBBBBBBBBBBBBBBAAABBBBBBCCCEEEGGGHHHIIIMMMKKKIIIGGGGGGGGGHHHIIILLLMMMLLLJJJGGGGGGJJJMMMNNNNNNMMMMMMMMMOOOPPPQQQPPPOOOMMMKKKJJJIIIIIIIIIIIIKKKNNNPPPPPPOOOLLLKKKHHHHHHIIIJJJJJJKKKKKKKKKGGGFFFDDDCCCBBBCCCDDDEEEDDDCCCCCCCCCBBBBBBAAAAAACCCCCCDDDDDDEEEEEEFFFFFFIIIIIIIIIIIIIIIIIIIIIIIIHHHIIIIIIHHHFFFEEEFFFGGGGGGHHHJJJLLLNNNNNNNNNNNNKKKJJJJJJIIIHHHGGGGGGGGGIIIHHHGGGEEEEEEEEEEEEFFFAAAAAA???>>><<<:::999999;;;<<<===<<<;;;<<<===???>>>>>>===;;;:::888777777&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$%%%&&&'''(((((()))&&&&&&&&&%%%%%%$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$%%%%%%%%%&&&&&&((('''&&&%%%$$$$$$$$$$$$&&&&&&&&&''''''''''''(((''''''''''''&&&&&&&&&&&&(((((('''&&&%%%%%%%%%%%%###$$$%%%&&&&&&'''&&&&&&'''''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&'''''''''((((((((((((((((((((((((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&###%%%&&&&&&%%%$$$%%%%%%######$$$%%%%%%%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&'''''''''((('''%%%$$$$$$$$$&&&'''$$$%%%&&&%%%###"""###$$$$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&%%%%%%$$$$$$###$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%&&&&&&'''((($$$$$$%%%&&&'''(((((()))'''&&&&&&%%%%%%%%%%%%&&&###""""""$$$'''***++++++,,,***((((((((('''%%%###&&&&&&''''''((())))))***))))))))))))))))))))))))'''((()))***+++***)))(((((())))))************)))((())))))******+++++++++,,,,,,,,,++++++++++++***,,,,,,,,,,,,++++++++++++*********++++++*********+++,,,---......///////////////000000000///......---...///000111000///...,,,,,,,,,,,,,,,,,,------///000111222222111000/////////000111222222222222......//////000000111111111111222222222222222222111111111111222333444555333222222333444555444333111111111111111222222222222222222333444555666777666666777888999999888888999:::;;;<<<===============<<<;;;<<<>>>>>><<<;;;777666555444444666888999<<<===>>>???@@@@@@@@@@@@@@@??????BBBEEEHHHHHHHHHCCCCCCFFFKKKPPPTTTUUUUUUQQQLLLGGGBBB@@@@@@??????<<<;;;:::888888888999999<<<===???@@@@@@@@@BBBCCCFFFGGGGGGFFFDDDCCCDDDEEEGGGGGGGGGGGGFFFEEEDDDCCCCCCBBB???===<<<<<<===>>>???AAACCCEEEEEEEEEDDDCCCDDDDDDEEEEEEDDDCCCCCCBBBAAABBBCCCBBBAAAAAABBBCCCBBBAAAAAABBBDDDEEEDDDCCCAAAAAABBBBBBBBBAAA@@@@@@@@@@@@AAABBBDDDFFFHHHIIILLLLLLKKKKKKKKKKKKLLLLLLOOOOOONNNLLLKKKKKKNNNPPPRRRQQQNNNLLLKKKKKKMMMNNNPPPNNNKKKIIIHHHHHHIIIIIIIIIJJJMMMOOOOOONNNLLLJJJFFFFFFGGGHHHIIIJJJJJJKKKFFFEEECCCBBBAAAAAAAAABBBBBBBBBBBBBBBBBBBBBBBBAAADDDDDDDDDEEEEEEEEEDDDDDDIIIIIIIIIIIIIIIIIIIIIIIIHHHIIIJJJIIIHHHGGGHHHJJJJJJJJJKKKLLLNNNOOOPPPPPPMMMKKKIIIGGGFFFFFFFFFFFFHHHGGGFFFEEEEEEEEEEEEEEEBBB@@@>>><<<:::999999999:::<<<===<<<;;;;;;<<<>>>;;;;;;:::999777666555555&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$%%%&&&''''''(((((('''&&&&&&%%%%%%$$$$$$###%%%$$$$$$######$$$$$$%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''&&&%%%%%%$$$$$$$$$%%%&&&&&&&&&''''''''''''((('''''''''&&&&&&&&&%%%%%%''''''&&&%%%$$$$$$%%%%%%"""###$$$%%%&&&'''''''''''''''''''''&&&%%%%%%$$$&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%&&&&&&&&&%%%$$$$$$$$$######$$$%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&'''''''''(((&&&$$$""""""###%%%'''"""###%%%%%%$$$%%%&&&((($$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$###$$$%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&''''''((($$$$$$%%%&&&&&&'''((((((&&&%%%%%%%%%%%%%%%%%%%%%###""""""$$$''')))*********)))((((((''''''&&&%%%''''''''''''(((((())))))((((((((()))))))))))))))&&&'''((()))******)))))))))************))))))(((((()))))))))*********+++,,,,,,,,,+++++++++++++++,,,+++++++++++++++++++++))))))************))))))))))))***+++,,,,,,,,,,,,...///////////////......,,,---///111111111///...---------...............///000111111111111000///111222222333333333222222.........///000000111111222222222222222333333333222222222222333444555555666555444555777888777777111111111222222222111111222222222333444666777888666666666777777777777666777888:::;;;<<<<<<;;;:::;;;::::::;;;===>>>===;;;666555333222333555777999<<<<<<===>>>>>>?????????BBBAAAAAACCCFFFHHHHHHGGGBBBCCCEEEJJJOOOSSSTTTTTTOOOKKKFFFBBB@@@??????@@@>>>===;;;999888888888999>>>???AAAAAAAAABBBDDDFFFFFFGGGIIIHHHFFFDDDDDDDDDGGGGGGGGGGGGGGGFFFEEEEEECCCBBB???===<<<===>>>??????AAADDDFFFGGGFFFDDDCCCDDDDDDEEEEEEEEECCCBBBAAA@@@BBBCCCBBBAAAAAABBBDDDBBBAAAAAAAAABBBBBBBBBBBB@@@@@@BBBCCCCCCCCCBBBBBB@@@AAAAAACCCEEEGGGHHHIIIKKKLLLLLLMMMMMMNNNNNNNNNQQQPPPOOONNNMMMNNNPPPQQQMMMKKKHHHFFFFFFHHHKKKMMMMMMKKKIIIGGGFFFFFFHHHIIIIIIJJJLLLMMMMMMLLLJJJIIIFFFEEEEEEEEEFFFFFFGGGGGGEEEDDDBBB@@@??????>>>???AAAAAAAAAAAAAAABBBBBBBBBGGGGGGHHHHHHHHHGGGFFFEEEFFFFFFFFFGGGGGGGGGGGGGGGHHHIIIJJJKKKJJJJJJKKKMMMKKKKKKKKKKKKLLLNNNOOOPPPNNNLLLIIIFFFEEEDDDEEEFFFGGGGGGGGGFFFFFFEEEEEEEEEDDDBBB???<<<;;;:::;;;;;;:::;;;<<<<<<;;;:::;;;<<<999888888777666555555444&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%&&&&&&&&&''''''(((((('''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&'''''''''%%%$$$$$$$$$%%%%%%&&&'''&&&&&&&&&''''''''''''((('''&&&&&&&&&&&&%%%%%%%%%&&&%%%%%%$$$$$$$$$$$$%%%"""###$$$%%%&&&&&&&&&&&&&&&&&&''''''&&&&&&$$$$$$&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&%%%###"""######$$$%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&''''''%%%###!!! """$$$%%%$$$%%%%%%### &&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$######$$$%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%(((''''''&&&&&&&&&''''''$$$$$$%%%%%%&&&'''''''''$$$$$$%%%%%%%%%%%%%%%%%%&&&$$$###$$$&&&(((((('''''''''((((((''''''(((((())))))((((((''''''''''''''''''(((((())))))))))))''''''(((((())))))))))))+++++++++******((('''&&&)))))))))))))))*********++++++++++++++++++++++++++++++++++++++++++++++++******++++++++++++******))))))***+++,,,,,,,,,,,,......////////////......+++,,,...000111000///...---------........./////////000111222222111000///333333333333222111000000.../////////000000111111111111222222222333333333444333333444444555666777444222111000222333222222111111222222222111111000111111222333444555777888555555555555555555555666555666888999::::::999888999888888:::<<<===<<<:::444333222222333444777888::::::;;;;;;<<<======>>>BBBAAABBBCCCEEEFFFDDDBBBBBBCCCDDDHHHMMMPPPQQQPPPKKKIIIEEEAAA??????@@@BBBBBB@@@>>>;;;999888888888===>>>@@@@@@@@@AAADDDGGGEEEGGGIIIIIIGGGEEEDDDDDDCCCCCCDDDEEEEEEEEEEEEEEEAAA@@@???======>>>???@@@AAACCCFFFHHHHHHGGGEEECCCCCCCCCDDDDDDCCCBBB@@@???@@@AAACCCBBBBBBAAACCCDDDDDDCCCBBBAAA@@@@@@AAABBB@@@AAACCCDDDFFFGGGHHHHHHEEEEEEEEEFFFGGGIIIKKKLLLLLLLLLMMMNNNNNNOOOOOOOOORRRPPPNNNMMMMMMNNNOOOPPPJJJHHHFFFDDDDDDGGGJJJLLLJJJIIIGGGEEEEEEFFFGGGHHHIIIJJJKKKLLLLLLKKKIIIHHHFFFEEEDDDBBBBBBAAAAAAAAACCCBBBAAA@@@>>>=========??????@@@@@@AAAAAABBBBBBHHHHHHIIIJJJIIIHHHFFFEEECCCCCCCCCDDDDDDEEEEEEEEEGGGHHHJJJKKKKKKLLLNNNPPPLLLLLLKKKKKKKKKLLLMMMMMMMMMKKKHHHEEEDDDDDDDDDEEEGGGGGGGGGGGGGGGFFFFFFFFFDDDBBB???<<<;;;:::;;;;;;999;;;<<<<<<;;;:::::::::888777777777666666555555&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%''''''&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%&&&&&&&&&'''''')))((('''&&&%%%$$$$$$###%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$$$$%%%&&&'''(((&&&&&&&&&''''''''''''(((&&&&&&&&&&&&%%%%%%%%%%%%%%%$$$$$$######$$$$$$$$$"""###$$$%%%%%%&&&%%%%%%###$$$%%%&&&&&&&&&$$$$$$%%%&&&&&&&&&&&&'''''''''((((((((((((((((((((((((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&'''&&&%%%%%%&&&&&&$$$"""######$$$%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%&&&&&&''''''&&&%%%###"""!!!"""$$$%%%###$$$%%%$$$"""""""""###&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%((('''&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&&&&&&&&&&###$$$$$$%%%%%%%%%%%%$$$((('''%%%%%%&&&''''''&&&%%%&&&(((((('''''')))******))))))(((''''''&&&&&&&&&''''''(((((())))))***(((((((((((((((((())))))+++++++++******)))(((''')))))))))))))))))))))))))))************+++++++++*********+++++++++++++++++++++,,,,,,,,,,,,+++++++++,,,---....../////////------.../////////......+++,,,---...///...---,,,+++++++++,,,------......000111222333333222111000111111111111111000000///111111111111000000000000000000111111222333333333444444444444555666777888555222000///000000000///111111222333333111000///111111111222333444555666333333333333333444555666444555666777888888888888888777777888:::;;;999888333333444444555666777888999999888999999:::<<<<<<@@@@@@BBBDDDEEEDDDAAA>>>CCCCCCDDDGGGKKKNNNNNNMMMIIIHHHEEEAAA>>>>>>@@@CCCCCCAAA???<<<:::999999999:::;;;<<<<<<<<<>>>BBBDDDFFFGGGIIIIIIGGGEEEDDDDDD???@@@AAABBBCCCCCCCCCCCC@@@@@@@@@@@@@@@AAABBBCCCFFFGGGHHHIIIIIIGGGEEEDDDCCCCCCBBBBBBAAA@@@>>>>>>>>>@@@AAAAAAAAAAAABBBDDDDDDDDDDDDBBBAAA@@@BBBDDDEEEEEEFFFHHHJJJMMMOOOQQQKKKKKKKKKLLLLLLMMMNNNOOOOOONNNNNNNNNOOOPPPQQQQQQSSSQQQMMMLLLMMMNNNNNNNNNNNNLLLIIIGGGFFFFFFHHHIIIHHHHHHGGGGGGGGGGGGGGGHHHIIIIIIJJJJJJJJJIIIHHHGGGGGGFFFCCCAAA????????????AAAAAA@@@???>>>======<<<>>>>>>???@@@@@@AAABBBBBBDDDFFFGGGHHHGGGEEECCCBBB@@@AAAAAABBBBBBCCCCCCCCCEEEGGGJJJKKKLLLMMMPPPRRRNNNNNNMMMLLLKKKKKKJJJJJJKKKIIIGGGFFFDDDDDDDDDDDDEEEFFFFFFGGGGGGFFFEEEEEEBBB@@@>>><<<:::999999999888:::<<<<<<:::999888999666666666666666666666666&&&&&&&&&&&&&&&&&&&&&&&&###$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$###$$$$$$%%%%%%&&&&&&'''%%%$$$$$$######$$$$$$%%%%%%%%%%%%&&&&&&&&&'''''''''''''''&&&&&&%%%%%%%%%$$$%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%&&&&&&&&&&&&&&&''''''''''''(((&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$############$$$$$$###$$$$$$%%%%%%%%%$$$$$$ """$$$%%%&&&%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&((((((((((((((((((((((((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%$$$%%%''''''%%%"""######$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&''''''(((((('''&&&%%%%%%$$$$$$%%%%%%!!!###%%%&&&''''''***+++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%&&&&&&&&&"""###$$$%%%&&&%%%%%%$$$)))'''&&&&&&'''(((''''''&&&((())))))'''&&&(((***((((((((((((((('''''''''&&&&&&''''''((())))))***)))((((((''''''''''''((((((((()))***************)))))))))))))))))))))((((((((()))))))))*********)))*********++++++++++++***++++++,,,,,,++++++***,,,---...//////000//////,,,---......//////......,,,,,,,,,,,,,,,,,,+++++++++,,,,,,---......//////111222333444444333222111000111222333444444444444333333222222111111000000//////000000111222222333444444444444555666777777666444111000111222333222000111333333333111000...111111111111111222333444222111111111222333555666444444444444555666777888777666555777888888777555444555777888999::::::999777777666666777888:::;;;<<<>>>AAAEEEGGGEEE@@@<<>>AAA@@@>>>===;;;:::::::::;;;999:::::::::;;;===AAADDDFFFGGGHHHGGGEEEDDDDDDDDDBBBCCCCCCDDDDDDDDDCCCCCCBBBCCCEEEGGGHHHIIIIIIIIIKKKKKKJJJJJJIIIHHHFFFEEEDDDCCCBBB@@@??????>>>>>><<<===??????>>>>>>@@@BBBCCCDDDDDDCCCBBBCCCGGGJJJMMMLLLKKKLLLNNNQQQUUUWWWSSSRRRRRRQQQQQQRRRRRRSSSSSSRRRPPPOOOPPPQQQSSSTTTUUURRRNNNLLLMMMNNNMMMLLLOOOMMMKKKIIIHHHGGGGGGGGGHHHIIIJJJKKKKKKJJJIIIIIIIIIIIIIIIIIIIIIHHHGGGGGGGGGEEECCCAAA??????@@@@@@???????????????>>>============>>>???@@@AAABBBBBBAAACCCEEEFFFFFFDDDBBBAAA@@@@@@@@@AAABBBCCCCCCCCCDDDFFFIIIKKKLLLNNNQQQSSSPPPPPPPPPOOOMMMKKKHHHGGGHHHGGGGGGFFFEEEDDDDDDDDDBBBCCCDDDEEEEEEDDDCCCCCCAAAAAA???>>><<<:::999999888:::<<<<<<:::888888888555555555555555555555555&&&&&&&&&&&&&&&&&&&&&&&&######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%&&&&&&'''(((%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$%%%%%%%%%&&&&&&''''''&&&%%%$$$$$$$$$$$$&&&&&&&&&'''''''''((((((&&&&&&&&&%%%%%%%%%$$$$$$$$$###############$$$$$$$$$$$$%%%%%%%%%$$$###### ###%%%&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&$$$###$$$'''(((%%%#########$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&'''((())))))***(((((('''''''''&&&&&&&&&%%%&&&&&&%%%###""""""###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###"""%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%&&&"""###$$$%%%&&&%%%%%%$$$)))'''&&&&&&((())))))(((''')))+++)))&&&%%%&&&(((&&&&&&''''''((()))))))))&&&&&&&&&'''((())))))******)))((('''''''''''''''%%%&&&''')))+++,,,------))))))))))))((((((((((((''''''(((((()))))))))***))))))******++++++++++++******++++++++++++*********+++,,,---............,,,,,,---.../////////...------+++************+++......//////000111222222222333444444444444333222111222444666888:::;;;;;;555444444333222111000000...//////000111111222222333333333333444555666666444111///...000222333333000111333444333111///...111111111000111111222222000000000000111333555777555444333333444555777888666555555666777777555444555777999<<<======<<<;;;666666555555555777999:::999;;;@@@FFFHHHFFFAAA===;;;;;;===AAAEEEHHHIIIIIIKKKJJJGGGAAA<<<:::<<>>BBBEEEFFFGGGGGGFFFDDDCCCDDDEEEHHHHHHHHHHHHGGGFFFEEEDDDFFFHHHKKKNNNPPPQQQPPPPPPNNNMMMLLLJJJIIIHHHGGGFFFEEEDDDBBB@@@????????????999;;;======<<<===>>>@@@AAACCCDDDDDDCCCEEEJJJOOOSSSQQQPPPOOOPPPSSSWWWZZZWWWWWWVVVUUUUUUUUUUUUUUUVVVUUURRRQQQQQQRRRTTTVVVWWWSSSNNNLLLMMMNNNLLLKKKLLLKKKJJJIIIHHHHHHGGGGGGIIIJJJLLLNNNNNNMMMKKKJJJIIIIIIIIIIIIHHHHHHGGGFFFGGGEEECCCAAAAAAAAABBBCCC>>>???????????????>>>===<<<======???@@@AAABBBCCCAAABBBEEEFFFFFFEEECCCAAA@@@@@@AAABBBBBBCCCDDDDDDCCCEEEHHHKKKLLLNNNQQQTTTRRRRRRSSSRRROOOLLLHHHFFFFFFFFFFFFGGGFFFEEEDDDCCC@@@AAABBBCCCCCCCCCBBBAAACCCCCCBBBAAA???===;;;:::777:::<<<<<<:::888777777333333444444444444555555%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&'''&&&&&&%%%%%%%%%%%%%%%&&&'''((())))))'''&&&%%%%%%%%%%%%&&&'''&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%########################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%$$$$$$&&&%%%$$$#########$$$%%%''''''&&&%%%$$$$$$$$$$$$!!!###%%%'''((('''%%%$$$&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$######%%%'''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&###$$$$$$%%%%%%$$$$$$###$$$%%%'''&&&%%%$$$%%%&&&'''&&&&&&%%%$$$$$$$$$%%%%%%%%%$$$$$$###$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$%%%''')))***'''''''''''''''''''''''')))+++------+++***)))***(((((())))))))))))))))))&&&(((+++---...---,,,***((((((((((((((((((((((((%%%'''************+++,,,''''''(((((())))))*********************+++++++++,,,,,,,,,,,,,,,,,,,,,,,,..................------(((***,,,......---***)))---------............///222222333444555666777888555333333555:::<<<;;;:::999888777555333222222222111111111111000000000000111111222222222222111111000000000000000/////////000000000000//////////////////000000111111222222...///000222222333333333111222222333555666666777666666666777777777777888999:::;;;<<<;;;;;;999888666555555444555666777888<<<<<<===@@@DDDDDD@@@===888999;;;???BBBFFFIIIKKKOOOJJJDDD@@@===;;;:::999888888999;;;===<<<:::777>>><<<:::999;;;>>>AAADDDCCCDDDFFFFFFFFFGGGIIIKKKKKKKKKJJJJJJIIIHHHGGGGGGJJJHHHHHHMMMSSSVVVSSSPPPOOONNNMMMKKKIIIGGGFFFEEE@@@@@@@@@???>>><<<;;;::::::;;;======<<<<<<>>>???EEEFFFGGGHHHIIILLLQQQUUU\\\YYYUUUSSSRRRUUUXXXZZZYYY\\\^^^[[[VVVTTTVVVYYY]]]VVVQQQTTTXXXYYYZZZ]]]^^^UUUKKKHHHKKKOOONNNLLLNNNOOOOOOOOONNNKKKIIIGGGHHHIIIKKKMMMLLLJJJHHHFFFHHHHHHHHHHHHGGGEEEDDDBBBBBBBBBBBBAAAAAAAAA@@@@@@AAAAAABBBCCCDDDBBB???<<<:::;;;===>>>????????????===???BBBBBBBBBAAABBBCCCAAA@@@@@@@@@AAACCCEEEFFFEEEFFFHHHJJJKKKKKKKKKJJJMMMOOOQQQRRRRRRPPPMMMKKKGGGGGGFFFFFFEEEDDDDDDDDDBBBBBBCCCCCCCCCCCCBBBBBBAAABBBCCCCCCAAA???===;;;999:::;;;<<<;;;999666555444444444444444555666777%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&&&&'''''''''&&&%%%%%%%%%%%%&&&'''&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%$$$$$$&&&%%%$$$######$$$%%%&&&%%%%%%$$$$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%$$$$$$%%%$$$$$$$$$############%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$######%%%&&&(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&###$$$$$$%%%%%%$$$$$$###$$$%%%$$$###!!!"""$$$&&&&&&%%%$$$$$$#########$$$%%%%%%$$$$$$###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%$$$$$$%%%&&&''')))***''''''''''''''''''''''''"""$$$&&&'''&&&$$$%%%%%%'''''''''''''''&&&&&&&&&&&&(((+++---...---+++***((((((((((((((((((((((((&&&(((******)))(((((()))))))))))))))(((((((((((((((((())))))******++++++,,,,,,,,,,,,,,,,,,,,,,,,........................+++,,,---......---+++***---------............///111222222333444555666777777555444555888999888666444444333222222222222222000000000000000000000000///000000000000000000///........................111111111000000000000///.............../////////...///000111222222222222111222222333444555555666444444555555555666666666666777888::::::::::::999555444444333444555666777999999:::===@@@@@@===:::888999:::<<>>>>><<<:::>>>===<<<<<<===???BBBDDDEEEEEEFFFEEEDDDEEEGGGIIIIIIIIIIIIIIIIIIIIIIIIIIIGGGEEEEEEIIINNNQQQPPPMMMLLLKKKJJJHHHGGGEEEDDDCCC@@@@@@??????>>><<<;;;:::;;;>>>AAACCCBBBAAA@@@@@@DDDFFFHHHJJJKKKNNNRRRUUU[[[YYYWWWUUUUUUWWWZZZ[[[[[[___aaa___[[[XXXZZZ\\\^^^ZZZWWWWWWXXX[[[eeeooosssgggXXXNNNMMMNNNNNNLLLMMMMMMNNNNNNMMMJJJHHHGGGEEEFFFIIIKKKLLLKKKJJJIIIHHHIIIIIIIIIHHHFFFDDDCCCCCCCCCCCCBBBBBBAAAAAAAAABBBAAABBBCCCDDDCCC???<<<:::;;;<<<===>>>>>>======<<>><<<999:::;;;;;;:::888666444555555555555555666777777%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%""""""$$$%%%&&&'''''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%$$$$$$&&&&&&%%%%%%%%%%%%&&&&&&#########$$$$$$%%%''''''((('''%%%#########$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$###$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%###$$$$$$%%%%%%$$$$$$###$$$$$$"""  ###&&&&&&&&&%%%$$$$$$$$$$$$%%%%%%$$$$$$###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%&&&'''(((******&&&&&&&&&&&&&&&&&&&&&&&&###%%%'''''''''&&&'''(((((((((''''''&&&&&&&&&%%%&&&(((***,,,,,,,,,***)))(((((((((((((((((((((((((((***++++++)))(((((((((******))))))((('''''''''''''''((()))******++++++,,,,,,,,,,,,,,,,,,,,,,,,........................//////......------,,,,,,---------............///000000111222333444444555777666444444555555333222////////////000111222222////////////////////////000000000000000000000000------......//////000000111111111111000000000000///..................---...///000111111111111111111111222222333333444444333333333333444444444444333444666777888888999999555444333333333444555666888888999;;;======;;;999888888888:::===@@@DDDFFFIIIEEEAAA>>>>>>===<<<<<<===<<<===>>>@@@@@@???===>>>>>>>>>>>>???@@@BBBCCCFFFFFFEEEDDDBBBCCCFFFHHHGGGGGGHHHHHHHHHIIIIIIIIIDDDBBBAAACCCHHHKKKKKKIIIIIIHHHGGGEEEDDDBBBAAAAAA????????????>>>===<<<;;;<<<@@@EEEHHHGGGEEECCCBBBCCCFFFJJJMMMOOOQQQTTTVVVYYYYYYXXXXXXYYYZZZ[[[\\\^^^aaaeeedddaaa^^^^^^```]]]]]]\\\ZZZWWW\\\nnnttt```RRRMMMMMMNNNMMMMMMMMMNNNNNNMMMKKKJJJHHHEEEFFFHHHIIIJJJJJJIIIHHHHHHIIIIIIIIIHHHFFFDDDCCCEEEDDDDDDCCCBBBAAAAAA@@@BBBBBBBBBCCCDDDCCC@@@===:::;;;<<<======<<<;;;:::;;;>>>AAACCCBBBAAA@@@AAAFFFEEEDDDCCCCCCCCCCCCCCCDDDFFFGGGIIIJJJJJJJJJJJJJJJKKKLLLMMMMMMKKKIIIHHHFFFFFFEEEDDDCCCBBBAAA@@@AAAAAABBBBBBBBBBBBAAAAAABBBCCCDDDDDDDDDAAA???>>>999999:::999888666555333666666555555555666777777%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&########################$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&''''''$$$$$$######$$$%%%%%%&&&%%%%%%$$$$$$$$$$$$$$$$$$''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%###$$$$$$%%%%%%$$$$$$############""" !!!###%%%'''&&&&&&%%%%%%%%%&&&&&&$$$$$$######$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&'''((()))******&&&&&&&&&&&&&&&&&&&&&&&&%%%'''))))))))))))***,,,*********)))((((((''''''&&&''')))***+++***))))))(((((((((((((((((((((((()))***,,,,,,***)))******))))))))))))(((((((((((((((((()))***+++,,,,,,------------------------------------...............111000...---,,,,,,,,,,,,---------............/////////000000111222222333555444444333333222111000......---......///000111............////////////111000000000000000000111//////000111111222333333111111000000000/////////111111111000000///////////////000111111111000000111111111222222333333333333333444444444555555555333444444555555666666666555555444333444555666777999:::;;;===>>>>>><<<;;;999999999:::===AAAFFFHHHFFFCCC@@@??????@@@@@@???=========???AAAAAA@@@>>><<<===>>>???@@@@@@@@@@@@EEEEEEDDDBBBBBBCCCFFFIIIGGGGGGGGGGGGGGGFFFFFFFFFBBB@@@>>>@@@CCCFFFGGGGGGFFFFFFEEEDDDBBBAAA@@@@@@???????????????>>>===<<<>>>BBBFFFHHHGGGFFFDDDDDDCCCGGGLLLOOOQQQSSSUUUVVVVVVWWWXXXZZZ[[[[[[\\\[[[^^^aaaeeefffdddbbbaaaaaa^^^^^^]]]ZZZWWW[[[lll~~~|||ooo___RRRMMMMMMNNNNNNNNNNNNOOOOOONNNMMMKKKJJJIIIIIIIIIHHHGGGFFFEEEDDDGGGHHHHHHHHHGGGEEECCCBBBDDDDDDCCCCCCBBBAAA@@@@@@DDDCCCCCCDDDDDDCCCAAA>>><<<<<<===>>>===<<<;;;:::===>>>@@@@@@??????AAABBBFFFFFFEEEDDDCCCBBBAAAAAABBBDDDEEEGGGHHHHHHHHHHHHHHHHHHIIIJJJJJJHHHGGGFFFEEEEEEDDDCCCAAA@@@??????@@@@@@AAAAAAAAAAAA@@@@@@BBBBBBDDDDDDCCCAAA???>>>999999999888777555333222555555444444444555555666%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&########################$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&'''''''''&&&%%%$$$$$$############ !!!###%%%&&&&&&%%%$$$''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%###$$$$$$%%%%%%$$$$$$###!!!###&&&&&&%%%#########%%%$$$$$$$$$$$$$$$%%%%%%$$$#########$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&'''(((((()))))))))&&&&&&&&&&&&&&&&&&&&&&&&"""###%%%%%%$$$%%%'''(((******))))))((((((((('''&&&'''((()))))))))((((((((((((((((((((((((((((((%%%''')))***))))))***+++&&&''''''((()))******+++******+++,,,,,,---......////////////////////////---------.........//////000///---+++******+++,,,---------............///......//////000111111111111222222222111111111111000///..................---........./////////000000///............///000///000000111222333444444000000/////////.........222222222111000000000///000111111111111000000///111111111222222333333333666666666777777777777888666555555444444333333333777666555555555666888999:::;;;<<<======<<<<<<<<<999:::;;;===@@@EEEIIIKKKDDDBBB@@@@@@AAABBBBBBAAA===<<<<<<>>>@@@AAA@@@???;;;<<<===????????????>>>AAABBBCCCBBBCCCEEEHHHKKKIIIHHHGGGFFFEEEDDDCCCBBBAAA@@@??????BBBDDDEEEFFFDDDDDDDDDCCCBBBAAAAAA@@@@@@@@@@@@AAA@@@@@@??????AAACCCEEEFFFEEEEEEEEEGGGDDDHHHMMMQQQSSSTTTUUUVVVSSSTTTWWWYYY[[[[[[ZZZYYY[[[^^^aaaccccccaaa```___bbb___\\\[[[YYY[[[dddooommmeee[[[SSSPPPOOONNNMMMNNNNNNMMMMMMLLLKKKJJJIIIHHHGGGFFFEEEEEEDDDDDDDDDFFFFFFGGGFFFEEEDDDBBBAAACCCCCCCCCBBBAAA@@@@@@@@@EEEDDDCCCDDDDDDDDDAAA???===>>>??????>>>===;;;:::??????>>><<<<<<===AAAEEEEEEDDDDDDCCCBBBAAA@@@???@@@AAACCCEEEFFFFFFFFFEEEFFFFFFGGGGGGGGGFFFEEEDDDCCCCCCBBBAAA@@@???>>>===??????@@@@@@@@@@@@??????@@@AAABBBCCCBBB@@@>>>===:::999888777666444333222444333333222222333333333%%%%%%%%%%%%%%%%%%%%%%%%########################%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%&&&&&&'''%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%$$$$$$###$$$%%%&&&&&&'''&&&&&&&&&&&&$$$######"""""""""###&&&''''''%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$############$$$$$$###$$$$$$%%%%%%$$$$$$###!!!$$$((()))(((%%%$$$###"""!!!!!!!!!!!!""""""###############$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%&&&'''(((((((((((('''%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%$$$###$$$&&&(((''''''''''''''''''''''''&&&''''''(((((('''''''''((((((((((((((((((((((((!!!$$$&&&'''&&&'''((()))%%%&&&'''((()))***+++,,,,,,------------.........////////////////////////,,,,,,------...////////////...---+++++++++,,,,,,---------............///......//////000000000000///000111111000000111222111000///...------------.........//////000000111...---,,,++++++,,,---...//////000000111111222222000000000000////////////111000000000000000//////222222222222222111000///000000111222333444555555999999999999::::::::::::888777666444333333333333888777666666666777888999888999;;;;;;999999999::::::;;;===???BBBFFFHHHJJJAAA@@@???@@@BBBCCCCCCBBB===<<<;;;===???@@@@@@???<<<<<<===>>>>>>>>>>>>>>>???AAACCCDDDEEEGGGIIILLLJJJJJJIIIGGGEEEDDDBBBBBBAAAAAAAAAAAABBBCCCDDDEEECCCCCCCCCBBBBBBAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBCCCEEEFFFFFFEEEFFFGGGIIIFFFJJJNNNQQQSSSTTTUUUVVVRRRSSSVVVXXXYYYYYYXXXWWWWWWXXX[[[]]]^^^^^^]]]]]]ccc^^^\\\\\\\\\[[[^^^cccccc___[[[WWWTTTQQQOOOLLLMMMLLLKKKJJJHHHGGGFFFEEECCCCCCBBBBBBCCCEEEGGGIIIFFFFFFGGGGGGFFFDDDBBBAAACCCCCCCCCBBBBBBBBBBBBBBBFFFEEEDDDDDDEEEDDDBBB@@@>>>>>>?????????>>><<<;;;??????===;;;:::===AAAEEEBBBBBBCCCCCCBBBAAA@@@@@@???AAABBBDDDEEEEEEEEEEEEDDDEEEEEEEEEEEEDDDCCCCCC@@@@@@??????>>>>>>======>>>>>>????????????>>>>>>???@@@AAABBBBBB@@@>>>===;;;:::999777666444333222333333222111111111222222%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$###"""######$$$$$$%%%%%%&&&&&&%%%%%%&&&''''''&&&%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%$$$$$$"""###$$$%%%&&&&&&&&&%%%$$$$$$###############$$$ !!!###$$$%%%%%%%%%%%%############$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$###$$$$$$%%%%%%$$$$$$######%%%'''(((&&&%%%%%%%%%""""""!!!!!!""""""###$$$############$$$%%%&&&'''########################$$$$$$%%%%%%%%%%%%&&&&&&$$$%%%&&&'''((('''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''(((((('''&&&&&&(((***%%%%%%&&&&&&'''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((((((((((((((($$$%%%'''((('''&&&'''(((&&&''''''((()))******+++...------------,,,,,,,,,------------------------,,,,,,------...//////000......---------------...---------............///////////////000000000000///111222222//////000222000///...---,,,,,,,,,,,,......///000000111222222000///---,,,,,,---///000111111111111111111111111222222222111111111111000111111111111111222222222444444444333333222000000///000111333444666777888:::;;;;;;;;;<<<<<<<<<<<<888888666555444555555666777666666555555777888999666888:::999777666777999:::;;;===@@@BBBCCCCCCCCC>>>======>>>@@@AAAAAA@@@===<<<;;;===???AAAAAAAAA>>>>>>>>>>>>>>>?????????@@@BBBEEEGGGGGGGGGHHHJJJLLLKKKJJJIIIHHHGGGFFFEEE@@@AAABBBCCCCCCCCCCCCDDDAAAAAAAAAAAA@@@@@@@@@@@@BBBBBBCCCDDDDDDDDDDDDDDDEEEGGGJJJKKKJJJJJJJJJJJJHHHKKKOOOQQQQQQRRRTTTUUUSSSTTTVVVXXXYYYXXXXXXWWWTTTTTTUUUWWWYYY[[[[[[ZZZ^^^ZZZYYYZZZYYYWWWYYY^^^\\\[[[ZZZYYYWWWTTTQQQOOOOOONNNLLLJJJHHHFFFEEEEEEAAAAAA@@@@@@BBBEEEHHHJJJHHHHHHHHHHHHGGGFFFDDDCCCDDDDDDDDDDDDEEEEEEEEEEEEGGGEEEDDDDDDEEEEEECCCAAA<<<===>>>>>>>>>===<<<;;;<<<===>>>===<<<===???BBB@@@AAABBBCCCDDDDDDCCCCCC@@@AAACCCEEEFFFFFFFFFFFFDDDDDDDDDDDDCCCCCCBBBBBB===========================>>>>>>??????>>>>>>===@@@AAABBBCCCCCCAAA???>>><<<;;;999777666444333333444333222222111111222222%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%&&&'''''''''$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%$$$###"""!!!!!!!!!"""###$$$%%%%%%&&&%%%%%%&&&''''''&&&%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''##############################$$$%%%%%%&&&''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%$$$$$$!!!"""###%%%&&&&&&%%%%%%""""""""""""###$$$%%%&&&$$$######""""""###$$$%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$%%%&&&&&&%%%$$$$$$%%%'''%%%$$$$$$$$$%%%&&&&&&'''############$$$%%%&&&'''########################$$$$$$%%%%%%%%%&&&&&&&&&$$$%%%&&&'''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%(((((((((&&&%%%%%%''')))&&&&&&'''((()))***++++++&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((((((((((((((()))***++++++)))(((((()))(((((((((((())))))))))))...------,,,,,,++++++***,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------...///000000.........///////////////---------.........///////////////000000000000000000222444222///...///111------,,,,,,+++,,,,,,,,,...//////000111222222333444222111000000111222444444444333333333333333333444444444333333333222222333333333444444555555555555555555444333222111000///000111333555777888999;;;;;;;;;<<<<<<<<<======888777666555555666888999666555555444555666777888777999;;;:::777666888::::::;;;>>>???@@@???>>>===<<<;;;;;;<<>>>>>===<<<===@@@BBBBBBBBB@@@??????>>>??????@@@AAAAAADDDGGGIIIHHHGGGGGGGGGLLLLLLLLLKKKKKKJJJJJJJJJ???AAACCCDDDCCCCCCBBBCCC@@@@@@@@@???????????????BBBCCCDDDEEEFFFFFFFFFEEEFFFJJJNNNQQQPPPNNNLLLKKKJJJLLLOOOPPPPPPQQQSSSUUUTTTUUUVVVXXXXXXXXXXXXWWWRRRRRRRRRTTTWWWYYYZZZYYYVVVUUUVVVWWWTTTRRRVVV]]]WWWXXXXXXXXXWWWVVVTTTSSSSSSRRRPPPMMMKKKIIIHHHGGGDDDBBBAAA@@@@@@CCCEEEGGGIIIJJJJJJJJJIIIGGGEEEDDDEEEEEEEEEFFFGGGGGGHHHHHHGGGFFFDDDDDDEEEEEECCCBBB:::;;;<<<======<<<;;;;;;999;;;???@@@???>>>>>>>>>@@@AAACCCDDDFFFFFFEEEEEEBBBCCCEEEFFFGGGHHHGGGGGGDDDDDDCCCCCCCCCBBBBBBBBB<<<<<<<<<============>>>======>>>>>>>>>>>>======@@@BBBCCCDDDDDDBBBAAA???===<<<:::888666555444444555444333333222222222333%%%%%%%%%%%%%%%%%%%%%%%%!!!"""#########$$$''')))######$$$$$$$$$%%%%%%%%%"""###$$$%%%&&&&&&&&&&&&######$$$$$$$$$%%%%%%%%%&&&&&&'''((('''&&&$$$######$$$&&&&&&'''&&&$$$$$$(((((((((''''''&&&&&&&&&%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$'''&&&%%%%%%$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###!!!"""###$$$&&&'''((()))###$$$%%%'''(((''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""############$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$###"""!!!!!!!!!"""######$$$%%%%%%%%%%%%$$$###%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######$$$$$$%%%%%%%%%&&&&&&&&&########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$$$$%%%&&&''''''&&&&&&''''''''''''&&&&&&***)))((('''&&&%%%%%%%%%&&&''''''((()))((((((((((((((((((((((((((((((((()))******)))&&&%%%%%%&&&(((((((((((((((''''''&&&(((((((((((((((((((((((((((((())))))))))))((((((*********)))))))))))))))...---,,,,,,++++++++++++))))))******+++,,,------,,,---...//////...---,,,...---,,,,,,---...///000333333222111000000000111555444222111111111222222......---,,,,,,,,,,,,---***+++---000222444555555333222000//////000222333444333333222111111111222000000222222222222000000222333444555666666666666<<<;;;999777555555555666444444444555666777777888999999:::;;;<<<<<<======888666555333333444555666999888777555444444444444;;;:::999999888888999999999999999:::;;;<<<===>>><<<======<<<;;;;;;>>>@@@>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>???@@@@@@AAABBBBBBDDDEEEGGGHHHIIIIIIHHHHHHHHHIIIIIIIIIHHHEEECCCAAA@@@AAACCCDDDDDDCCCBBBAAA@@@BBBEEEEEECCCBBBAAAAAABBBCCCCCCCCCCCCDDDHHHJJJHHHJJJMMMPPPPPPPPPNNNMMMMMMKKKJJJKKKNNNPPPPPPPPPRRRTTTWWWXXXXXXVVVVVVVVVPPPQQQQQQRRRSSSTTTUUUUUUVVVVVVUUUUUUTTTSSSSSSSSSQQQSSSUUUWWWYYYXXXXXXWWWTTTQQQNNNLLLKKKIIIFFFCCCAAA@@@??????@@@BBBEEEFFFEEEGGGIIIJJJJJJIIIGGGFFFGGGGGGFFFFFFGGGIIIJJJLLLLLLJJJHHHEEECCCBBBAAAAAAAAA@@@???===<<<<<<<<<<<<:::;;;<<<===>>>???@@@AAAAAAAAAAAABBBBBBCCCCCCCCCAAABBBCCCDDDDDDEEEEEEEEEGGGDDD@@@???@@@AAA???===:::::::::;;;;;;;;;<<<<<<@@@@@@??????????????????===>>>???@@@@@@@@@@@@@@@>>><<<;;;999777555555444444222111//////000222333%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%$$$###$$$%%%###$$$$$$$$$$$$%%%%%%%%%#########$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%&&&'''''''''&&&%%%$$$!!!###%%%&&&'''((('''''''''&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$'''&&&%%%%%%$$$$$$$$$%%%###$$$$$$%%%%%%$$$$$$###$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''''''''%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###%%%%%%$$$$$$$$$&&&'''(((###$$$%%%%%%%%%%%%$$$###########################&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&)))((('''&&&&&&%%%%%%%%%%%%&&&''''''((((((''''''''''''''''''''''''''''''***+++,,,+++)))'''((()))(((((())))))(((((('''&&&''''''''''''''''''''''''((())))))))))))))))))((()))))))))))))))*********...---,,,++++++++++++++++++,,,,,,---......//////------............------++++++++++++,,,...000111222111000////////////000000000//////...////////////...------,,,,,,------+++,,,...000222333444444444333111/////////000111444333222222111111222222111222333333333333222111333444555666777777777777;;;:::999777666555555555444444555555666777777888666666777888999:::;;;;;;777666444333222333444555888777666555444444444444888888777777777777888888::::::::::::;;;<<<===>>><<<======<<<::::::<<<>>>>>>>>>>>>>>>>>>>>>>>>>>>===>>>>>>???@@@AAABBBBBBCCCDDDFFFGGGHHHHHHHHHGGGHHHHHHIIIIIIGGGEEEBBBAAA@@@@@@AAABBBBBBBBBBBBBBBEEEHHHJJJJJJGGGDDDBBBBBBBBBDDDEEEEEEEEEFFFHHHJJJIIIJJJMMMOOOPPPPPPOOONNNMMMLLLKKKLLLNNNOOOOOONNNQQQTTTWWWXXXWWWVVVVVVWWWSSSRRRRRRRRRRRRRRRRRRRRRUUUUUUTTTTTTTTTTTTSSSSSSRRRTTTUUUVVVWWWUUUTTTSSSRRROOOMMMKKKJJJHHHFFFDDDBBBAAAAAA@@@BBBDDDFFFGGGFFFGGGHHHIIIIIIIIIHHHGGGHHHHHHHHHHHHHHHIIIKKKKKKLLLKKKHHHFFFDDDCCCBBBBBBAAA@@@???===<<<<<<;;;;;;;;;<<<===>>>???@@@AAAAAAAAAAAAAAAAAAAAA@@@@@@@@@AAABBBCCCDDDEEEEEEEEEEEEGGGDDD@@@@@@AAAAAA@@@>>>>>><<<:::999999:::<<<===?????????>>>>>>>>>======>>>??????@@@@@@??????>>>===<<<:::888666555444444333222111000000111222333%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&((('''%%%"""""""""$$$$$$$$$$$$%%%%%%%%%%%%((('''%%%$$$#########$$$######$$$$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&&&&&&&%%% !!!!!!###%%%''')))***&&&&&&%%%%%%%%%%%%%%%$$$&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$&&&&&&%%%$$$$$$$$$%%%%%%###$$$$$$%%%%%%$$$$$$###&&&&&&&&&%%%$$$$$$######''''''''''''&&&%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$%%%%%%####################################$$$$$$$$$%%%"""######$$$$$$######"""$$$$$$$$$%%%&&&''')))***###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$'''''''''&&&&&&&&&%%%%%%#########$$$$$$$$$$$$%%%########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%"""""""""###############%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&%%%%%%%%%$$$$$$%%%&&&&&&''''''&&&&&&''''''''''''''''''''''''(((***++++++)))((()))***)))))))))))))))(((((('''''''''''''''''''''''''''))))))************))))))(((((())))))******++++++---,,,,,,++++++++++++,,,,,,------....../////////......------------......******++++++---...000111000//////............///000111111222222222111111///...------,,,---------...///000111222222333333444333111000////////////333333222222111111222222333333444555555444333333444555666777888888888888999999999888777666555444444444555555666777777777444444444555666666777777555444333222111222333444666555555444444555555555555444444555555666777888;;;;;;;;;;;;;;;<<<===>>>===>>>>>><<<:::999;;;<<<>>>>>>>>>>>>>>>>>>>>>>>>======>>>???@@@BBBBBBCCCCCCEEEFFFGGGHHHHHHGGGGGGHHHHHHIIIIIIGGGEEEBBBAAA????????????@@@AAACCCDDDKKKMMMPPPOOOLLLHHHEEEDDDDDDFFFHHHIIIHHHHHHIIIKKKJJJKKKMMMOOOPPPPPPPPPOOOOOOMMMLLLMMMNNNOOONNNMMMQQQSSSVVVWWWVVVVVVVVVWWWUUUTTTSSSRRRQQQOOONNNNNNSSSSSSSSSSSSTTTTTTTTTTTTSSSTTTUUUUUUTTTRRRPPPNNNOOOLLLJJJHHHHHHGGGFFFDDDCCCCCCBBBBBBDDDEEEGGGHHHGGGHHHHHHHHHIIIIIIJJJJJJJJJJJJJJJJJJJJJKKKKKKKKKLLLKKKIIIFFFEEEDDDDDDEEEAAAAAA@@@???>>>===<<<<<<>>>>>>??????@@@AAABBBBBBBBBAAAAAA@@@@@@???>>>>>>AAABBBCCCDDDEEEEEEEEEEEEFFFDDDAAAAAAAAAAAA@@@???@@@===:::888888:::===???@@@??????>>>===<<<;;;;;;>>>????????????>>>>>>===<<<;;;:::888666555444444333222111000000111222333%%%%%%%%%%%%%%%%%%%%%%%%$$$&&&((((((&&&###"""!!!$$$$$$$$$%%%%%%%%%&&&&&&---+++(((&&&$$$$$$%%%&&&######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&)))((('''&&&%%%&&&'''((($$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%%%%###$$$$$$%%%%%%$$$$$$###&&&&&&%%%%%%$$$#########$$$$$$%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$%%%%%%######$$$$$$$$$$$$######"""""""""###$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%""""""#########$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%###############$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$$$$%%%&&&&&&&&&&&&%%%''''''''''''''''''''''''$$$&&&))))))((('''((()))))))))******))))))((('''''''''''''''''''''''''''))))))************))))))''''''((()))***++++++,,,,,,,,,+++++++++++++++,,,++++++,,,,,,,,,---------///...,,,,,,,,,,,,...///,,,,,,,,,------...////////////...............//////000222333444444333222//////...---------------000000111111222111111000111111000/////////000000333333222222111222222333555555555555555555555555444444555777777777777777777777888888888777555444555555555555666666777777555555444444333333222222444333222111111111222222444444333333444555555666333333333444555666888999<<<;;;;;;;;;<<<<<<===>>>???@@@@@@>>><<<:::;;;<<<===========================>>>???@@@BBBCCCDDDEEEEEEFFFHHHIIIIIIIIIHHHHHHHHHIIIIIIIIIHHHEEECCCAAA@@@???======>>>AAADDDFFFLLLOOORRRRRRPPPLLLIIIGGGGGGIIILLLLLLLLLKKKKKKKKKKKKLLLMMMOOOPPPQQQQQQQQQPPPOOONNNNNNOOOOOOMMMLLLPPPRRRUUUVVVUUUUUUVVVWWWUUUTTTSSSQQQPPPNNNMMMMMMQQQQQQRRRRRRSSSTTTUUUUUUSSSTTTUUUUUUTTTRRRPPPNNNKKKIIIGGGFFFFFFFFFEEEDDDDDDDDDDDDDDDEEEGGGHHHIIIIIIIIIIIIIIIJJJKKKLLLMMMLLLLLLMMMMMMMMMLLLKKKKKKLLLKKKIIIGGGFFFFFFFFFGGGCCCCCCCCCBBBAAA@@@???>>>@@@@@@AAAAAABBBBBBCCCCCCAAAAAAAAA@@@@@@@@@@@@@@@AAABBBCCCDDDDDDEEEEEEDDDDDDCCCBBBAAAAAAAAA@@@???===<<<:::::::::<<>>===<<<;;;;;;<<<======>>>?????????>>>;;;:::999777555444444444222222111111111222333333%%%%%%%%%%%%%%%%%%%%%%%%"""%%%'''((('''%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&---+++(((&&&$$$$$$%%%&&&######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&,,,+++(((&&&%%%$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$$$$$$$%%%$$$%%%%%%%%%&&&''''''(((%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$"""###############""""""$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$%%%%%%%%%&&&%%%%%%%%%%%%$$$$$$$$$$$$""""""#########$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&'''''''''&&&%%%%%%%%%%%%&&&'''&&&&&&'''''''''&&&%%%$$$###$$$$$$%%%&&&%%%%%%%%%''''''''''''''''''''''''###&&&((())))))(((((())))))))))))))))))(((''''''''''''''''''''''''''''''))))))************))))))''''''((()))***++++++,,,+++++++++******++++++,,,+++++++++,,,,,,,,,,,,,,,...---,,,++++++,,,---...////////////.........---//////.........//////000,,,---...000000000///...//////...------------...111111111111111000///...------......///000111222333222222111222222333333555555555555555555555555333333444555666666666666555666777888888777555444555555555555666666666666888777666555333111000000333333222222111111111111333222222333333444555666333333444555666888999:::;;;;;;;;;;;;;;;<<<===>>>BBBBBBCCCAAA>>><<<<<<===========================>>>???@@@BBBDDDEEEGGGHHHHHHIIIJJJKKKKKKKKKJJJIIIIIIJJJJJJJJJIIIFFFDDDBBBAAA@@@>>>>>>???BBBEEEGGGIIILLLPPPRRRPPPNNNMMMLLLJJJLLLNNNOOONNNLLLLLLMMMLLLLLLMMMNNNPPPQQQSSSTTTQQQPPPPPPPPPQQQPPPNNNLLLPPPRRRTTTTTTTTTTTTVVVWWWSSSSSSRRRQQQPPPOOOOOONNNPPPPPPQQQRRRSSSTTTTTTUUUQQQRRRTTTUUUTTTSSSRRRPPPJJJGGGDDDCCCDDDEEEEEEDDDCCCDDDDDDEEEFFFGGGHHHIIIIIIIIIIIIJJJKKKMMMNNNOOOLLLMMMNNNOOOOOOMMMLLLKKKKKKJJJHHHGGGGGGGGGHHHIIIFFFFFFFFFFFFEEECCCBBBAAABBBBBBBBBBBBCCCCCCCCCCCC???@@@@@@AAABBBCCCCCCDDD@@@AAABBBCCCCCCDDDDDDCCCBBBBBBBBBBBB@@@@@@??????888999;;;===???@@@@@@@@@BBBBBBAAA@@@>>>===<<<<<<999:::<<<===>>>???@@@@@@:::999888666555444444444222222111222222333333444%%%%%%%%%%%%%%%%%%%%%%%%"""$$$&&&'''&&&&&&&&&'''%%%%%%%%%%%%&&&&&&&&&&&&((('''%%%$$$#########$$$######$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&%%%$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&###$$$$$$%%%%%%$$$$$$###!!!""""""###$$$%%%&&&&&&(((((('''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$%%%%%%%%%%%%$$$###"""%%%$$$$$$######$$$$$$%%%!!!!!!!!!""""""######$$$%%%%%%$$$$$$$$$##################$$$$$$$$$$$$%%%########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%"""######$$$&&&''''''((('''&&&%%%$$$$$$%%%&&&'''&&&&&&((((((((('''&&&%%%###$$$%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%(((+++,,,+++***)))***(((((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&(((((())))))))))))(((((((((((())))))******+++++++++************++++++,,,------------------------------,,,,,,,,,,,,------......//////......---,,,///............///000000...//////000000000000///000///......------......000000000000///...------***+++,,,...///111222333222222111111222222333333555444444333333444444555222333444555666666666666555555666777777777666666555555666666666666666666888888777555444222111111333333333222222222111111222222222222333333444555444444555555777888999:::999999999:::;;;<<<===>>>BBBCCCDDDCCC@@@>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>===>>>@@@BBBDDDFFFHHHIIIJJJKKKLLLMMMMMMLLLKKKJJJKKKKKKLLLLLLJJJHHHEEEDDDDDDCCCAAA@@@AAADDDFFFHHHGGGJJJMMMOOOOOOOOOOOOPPPMMMNNNPPPOOONNNMMMMMMNNNMMMMMMMMMNNNOOORRRTTTVVVRRRRRRRRRRRRSSSSSSPPPNNNOOOQQQSSSSSSSSSTTTVVVXXXRRRRRRRRRQQQQQQQQQPPPPPPOOOPPPPPPQQQRRRSSSSSSTTTOOOPPPRRRTTTTTTTTTRRRQQQIIIGGGDDDBBBCCCDDDEEEDDDBBBBBBCCCDDDEEEFFFGGGGGGGGGGGGIIIJJJLLLMMMNNNOOOJJJLLLNNNPPPPPPOOOLLLKKKIIIHHHGGGGGGGGGHHHIIIJJJHHHIIIIIIIIIHHHFFFDDDCCCCCCCCCCCCCCCCCCCCCBBBBBB??????@@@AAACCCDDDEEEFFF>>>???@@@AAABBBBBBBBBBBB???@@@BBBAAA???>>>>>>???666888<<>>======999999;;;===>>>?????????999888777555444444333333111111222222333444444444%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&%%%%%%&&&(((%%%%%%%%%&&&&&&&&&&&&'''#########$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%&&&%%%$$$#########$$$%%%!!!"""###$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%$$$$$$$$$%%%%%%&&&'''###$$$$$$%%%%%%$$$$$$###"""""""""###$$$$$$%%%%%%)))(((&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%$$$$$$###$$$%%%&&&&&&&&&%%%$$$%%%%%%$$$######$$$%%%%%%!!!!!!"""######$$$%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$######$$$%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&'''&&&$$$######$$$&&&'''&&&''')))******)))'''&&&$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&(((+++---+++***))))))'''''''''''''''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((((((((('''''')))))))))))))))************************+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------,,,,,,,,,)))***+++---------------------,,,------......///333222222111111111111222000//////...............////////////...---,,,+++***+++,,,...///000111111222222111111222222333444333333222111111222333333333444555666666777777777555555555555555666777888666666666666666666666555555555555444444444444444333333333333333222222111333222222222222222333444555555555555666777888999666666777888:::<<<>>>???AAABBBDDDCCCAAA???>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>;;;<<<>>>@@@CCCEEEGGGHHHJJJKKKLLLMMMMMMLLLKKKJJJLLLMMMMMMMMMLLLIIIGGGEEEFFFFFFDDDDDDDDDFFFHHHIIIHHHJJJLLLMMMMMMNNNPPPRRROOOPPPPPPOOOMMMLLLNNNOOONNNNNNMMMMMMOOORRRUUUWWWSSSSSSSSSTTTVVVUUURRRPPPOOOPPPRRRRRRRRRSSSVVVXXXTTTTTTSSSRRRRRRQQQPPPPPPPPPPPPPPPQQQQQQRRRRRRRRRNNNOOOQQQRRRSSSRRRPPPOOOJJJGGGCCCBBBBBBDDDDDDDDD@@@@@@BBBCCCDDDDDDEEEEEEBBBDDDFFFIIIJJJKKKLLLLLLHHHKKKNNNQQQQQQPPPMMMKKKGGGGGGFFFFFFFFFHHHIIIJJJIIIJJJJJJJJJIIIGGGEEEDDDDDDDDDCCCCCCCCCBBBBBBBBB??????@@@AAABBBBBBCCCCCC===>>>???@@@@@@AAA@@@@@@<<>><<<===>>>;;;<<<===???@@@@@@@@@@@@@@@@@@??????>>>>>>>>>===;;;;;;<<<=========<<<<<<888777666555444333333333000111222333444444444444%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''&&&$$$$$$&&&'''%%%%%%%%%&&&&&&&&&''''''"""###$$$&&&&&&&&&&&&&&&######$$$$$$$$$%%%%%%%%%'''&&&$$$#########$$$$$$###$$$%%%&&&'''&&&%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&#########$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$%%%%%%&&&'''$$$$$$$$$%%%%%%$$$$$$$$$###############$$$$$$$$$&&&%%%$$$$$$%%%&&&((()))%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$%%%%%%########################$$$$$$%%%%%%%%%&&&&&&&&&######$$$$$$$$$$$$###### !!!###%%%&&&&&&&&&%%%&&&%%%$$$######$$$%%%&&&$$$$$$%%%&&&&&&'''((((((''''''&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$#########""""""###$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$'''&&&$$$######$$$&&&'''&&&''')))++++++***((('''$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$'''***+++)))'''&&&&&&&&&&&&''''''&&&&&&%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&*********)))))))))))))))******))))))***+++,,,,,,***)))))))))))))))))))))++++++---......---++++++$$$&&&(((+++,,,---......++++++++++++,,,,,,---...111000///---------...///000000///...........................---,,,+++++++++,,,---...////////////222111111111222333333444222222111000000111222222444555666777888888888888666555444444444666888999666666666666666555555555111111222444555666777777333444444444444333222222333333222222111222222333555555555555555666777888555555666777999<<<>>>??????AAACCCBBB@@@???>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>999:::<<>>???AAABBBCCCCCCDDDDDD???AAADDDGGGIIIJJJIIIIIIGGGJJJNNNQQQRRRPPPMMMKKKFFFFFFEEEEEEFFFHHHIIIJJJIIIIIIJJJJJJIIIGGGEEECCCDDDDDDDDDCCCBBBBBBAAAAAA@@@@@@@@@@@@@@@@@@AAAAAA<<<===>>>??????@@@@@@???;;;>>>@@@@@@===<<<<<<===@@@???>>>======>>>???@@@>>>>>>>>>>>>========================<<<;;;:::999888777666555444333333333000111222333444444444444'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&%%%%%%$$$############$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%((('''%%%$$$###$$$%%%%%%+++)))'''$$$######$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&(((''''''&&&&&&''''''(((%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%&&&&&&'''''''''&&&''''''''''''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&%%%$$$###"""########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###########################$$$%%%&&&&&&%%%###"""%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$###"""$$$$$$$$$"""!!!!!!$$$&&&%%%$$$$$$######$$$$$$%%%######$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&'''((('''&&&%%%(((((('''&&&%%%%%%$$$$$$&&&&&&%%%%%%%%%%%%&&&&&&''''''''''''''''''''''''%%%%%%&&&&&&&&&&&&&&&&&&'''&&&%%%$$$%%%&&&'''(((%%%%%%%%%%%%%%%&&&'''(((+++)))'''''''''''''''&&&))))))))))))((((((((((((******))))))((((((''''''++++++******************++++++++++++++++++++++++---,,,******+++,,,+++***)))***,,,---...------,,,,,,++++++******++++++,,,+++,,,,,,,,,,,,,,,,,,---////////////............,,,+++***)))))))))***+++---------........./////////000//////...000333666777444111...---///111333666666666666666777888888444444444444444444444444555555555555555444444444333333444444555666666666777666555444333222111111///000111222333444333333333444444555666777777888666666555666888;;;>>>@@@AAABBBBBBAAA===;;;:::;;;<<>>AAADDDDDDDDD@@@AAABBBDDDFFFHHHJJJJJJEEEGGGJJJNNNQQQPPPMMMIIIHHHEEEAAABBBEEEIIIJJJJJJJJJJJJJJJIIIHHHGGGEEEDDDEEECCCAAAAAABBBBBBAAA@@@BBB@@@???======>>>@@@AAA@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@??????>>>======<<<;;;;;;<<<===============>>>??????@@@@@@>>>===<<<<<<<<<;;;:::888777666666888888666555444333333333555333222222444555555444'''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&%%%%%%$$$#########$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$$$$%%%((('''%%%$$$$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%'''&&&&&&&&&&&&&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$###"""########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$######%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$###"""$$$$$$$$$"""!!!!!!$$$&&&%%%$$$$$$######$$$$$$%%%!!!"""""""""############$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%%%%&&&'''&&&%%%%%%%%%%%%&&&'''(((***)))(((((()))*********))))))))))))((((((((((((***)))))))))((((((((('''************************++++++++++++++++++++++++---+++******,,,---,,,,,,+++,,,---------,,,+++***,,,++++++******++++++,,,++++++,,,,,,,,,,,,------............------------+++***************++++++------------.........//////000000///...///222444666444111///...///111222444444444444444555555666444444444444444444444444555555555555555555555555666666555555555555555555777777666555444333222222111111111111222222222222777777777666666555555555666555555666777:::===???@@@AAAAAA@@@===;;;::::::===???BBBBBB@@@===<<<;;;===<<<<<>>AAA@@@???>>>>>>???AAABBB@@@@@@@@@@@@@@@@@@@@@@@@@@@?????????>>>>>>======<<<<<<===============<<<======>>>>>>>>>===<<<;;;::::::999999888777666666666555444333222111111111444333111222333555555444&&&&&&%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%$$$$$$###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$###$$$%%%&&&((()))%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%########################&&&&&&&&&'''&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$##############################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$######$$$$$$$$$###!!!!!!$$$&&&%%%$$$$$$######$$$$$$%%%""""""""""""############$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%###############$$$%%%%%%###$$$$$$%%%&&&''''''((('''''''''&&&&&&'''''''''''''''''''''''''''''''''((('''''''''&&&%%%%%%%%%((('''&&&%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&''''''%%%%%%%%%%%%&&&'''((()))(((((((((((())))))))))))))))))))))))((((((((((((************************************************,,,***)))***,,,------,,,,,,------------+++***))),,,++++++******++++++,,,+++++++++,,,,,,---------...------------,,,,,,,,,))))))***+++,,,,,,,,,+++------------............///000000...---...000222555333111///...///000222333333333444444444555555444444444444444444444444444444444555666666666777888888777666666555444444888777777666555444333333333222111111111222333444777777777777666666666666666555555666777:::<<<===>>>???@@@???<<<:::::::::===???BBBBBB@@@===<<<<<<<<<<<<===???BBBCCCCCCBBBEEEFFFGGGIIILLLNNNQQQRRRQQQSSSVVVWWWUUUQQQLLLHHHJJJJJJKKKLLLMMMOOOQQQRRRTTTSSSRRRQQQQQQQQQQQQQQQQQQPPPNNNNNNOOOPPPPPPOOOOOONNNMMMLLLMMMOOOQQQRRRSSSTTTUUUVVVVVVWWWWWWVVVVVVUUUSSSQQQPPPQQQRRRSSSTTTTTTTTTRRRPPPNNNKKKIIIHHHIIILLLNNNQQQRRRTTTTTTNNNOOOOOOOOOOOONNNMMMMMMPPPNNNKKKJJJIIIIIIHHHFFFEEECCCAAAAAAAAAAAA@@@??????@@@BBBDDDGGGIIIKKKLLLIIIIIIIIILLLNNNNNNMMMKKKJJJGGGDDDDDDEEEGGGHHHHHHKKKKKKJJJJJJIIIHHHFFFFFFCCCAAA?????????@@@???>>>@@@@@@???>>>???@@@BBBCCC@@@@@@@@@@@@@@@@@@@@@@@@????????????>>>>>>>>>>>>============<<<<<<<<<<<<<<<<<<<<<===<<<<<<;;;:::888888888777777777666666666555444222111111111111333222000111222444333333%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&'''&&&%%%$$$###$$$######$$$%%%&&&((()))$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&'''''''''''''''$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&'''''''''&&&%%%%%%'''&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%$$$###$$$%%%%%%%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$######$$$$$$###""""""###%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$###""""""$$$%%%&&&###$$$$$$%%%&&&&&&''''''(((''''''&&&&&&''''''((('''''''''''''''''''''''')))(((((('''&&&%%%%%%$$$(((((('''&&&%%%$$$$$$$$$&&&&&&%%%%%%%%%&&&&&&'''$$$%%%%%%%%%%%%%%%&&&((((((((((((((())))))))))))))))))))))))(((((((((((())))))))))))************)))))))))))))))))))))))))))((('''(((+++,,,,,,,,,***+++,,,---,,,,,,******,,,++++++******++++++,,,+++++++++,,,,,,---------.........---------,,,,,,'''(((***,,,------,,,,,,------------------------/////////...---,,,...000333222111000//////000111444444555555666666666666333333333333333333333333333333444555666666777777888888777777666666666666888777777666555555444444333222111111111333666777444444555666777999::::::777777777777888:::<<<===<<<===>>>===;;;999999:::===???AAAAAA???===<<<<<<<<<<<<===???AAABBBAAAAAAAAAAAABBBDDDGGGKKKOOORRRSSSUUUXXXZZZXXXTTTPPPLLLNNNNNNOOOPPPQQQSSSTTTUUUWWWVVVUUUTTTSSSRRRRRRRRRTTTRRRPPPPPPPPPPPPOOOMMMMMMLLLKKKKKKLLLNNNPPPRRRQQQRRRSSSTTTUUUUUUVVVUUUVVVTTTRRRQQQQQQRRRTTTUUUTTTTTTSSSRRRPPPMMMKKKJJJHHHIIILLLNNNPPPRRRSSSTTTNNNNNNOOOOOONNNNNNMMMLLLOOONNNLLLLLLMMMMMMLLLKKKEEECCCAAA@@@@@@@@@???>>>>>>???AAADDDFFFIIIKKKLLLJJJIIIIIIJJJLLLMMMLLLKKKHHHFFFDDDCCCCCCDDDEEEEEEIIIIIIIIIHHHHHHGGGEEEEEEEEECCCAAA@@@AAAAAA@@@???????????????@@@AAACCCDDD????????????????????????>>>>>>>>>>>>>>>>>>>>>>>>===<<<<<<;;;;;;;;;;;;;;;<<<<<<<<<<<<<<<;;;;;;:::888888888888888777777777777666555444333333333333222111///000222333333222$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&'''&&&%%%$$$%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%######$$$%%%%%%$$$######%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&%%%%%%$$$$$$######$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&&&&%%%%%%$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%$$$$$$%%%&&&'''%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%%%%$$$$$$###$$$$$$$$$""""""###%%%%%%$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$#########$$$&&&'''%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''))))))((('''&&&&&&%%%%%%((((((''''''&&&%%%$$$###'''&&&&&&%%%%%%%%%&&&&&&***+++,,,***(((''')))+++'''((((((((()))))))))***(((((((((((())))))))))))(((((()))))))))*********))))))))))))))))))))))))((('''&&&''')))++++++***''')))***,,,------,,,,,,,,,++++++******++++++,,,******+++,,,,,,---......////////////.........---((()))+++,,,---------,,,------------------,,,,,,---...///...,,,,,,---...111111000000000000000000333333444555666555555444333333333333333333333333222333333444555666666777666666666666777777888888777777777666555555444444333222111222333666999;;;333333444666777999::::::888888888999:::;;;<<<<<<:::;;;<<<<<<:::999999999===>>>@@@???===;;;;;;;;;;;;<<<>>>???@@@AAAAAABBB@@@@@@@@@BBBFFFJJJOOORRRTTTVVVYYYZZZZZZWWWTTTRRRQQQRRRSSSTTTUUUVVVVVVWWWXXXWWWVVVUUUTTTSSSSSSSSSVVVTTTSSSRRRQQQPPPNNNLLLKKKJJJJJJJJJLLLNNNQQQRRROOOPPPQQQRRRRRRRRRRRRRRRQQQPPPOOOOOOPPPQQQTTTUUUSSSRRRQQQPPPNNNLLLKKKJJJHHHIIIKKKLLLNNNOOOOOOPPPMMMMMMNNNNNNMMMMMMLLLKKKNNNMMMMMMNNNOOOPPPOOONNNCCCAAA???>>>?????????===>>>???@@@CCCEEEHHHIIIJJJJJJIIIHHHHHHIIIJJJJJJIIIEEEDDDCCCBBBAAAAAAAAABBBFFFFFFFFFFFFEEEEEEDDDCCCDDDBBB@@@@@@AAAAAA@@@???>>>>>>??????@@@AAABBBCCC????????????????????????>>>>>>===============<<<;;;;;;:::999999::::::;;;======<<<<<<<<<;;;;;;;;;999999999999999999999888666555444333333333333333222000//////111222222111"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%&&&&&&%%%%%%$$$$$$#########$$$$$$%%%%%%&&&&&&'''$$$$$$############""""""###$$$%%%&&&&&&%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&%%%$$$##############################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&'''(((%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%%%%$$$$$$"""###%%%$$$###"""###$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$############$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$&&&&&&&&&%%%%%%&&&&&&&&&'''''''''''''''''''''''')))((((((((('''&&&&&&&&&''''''''''''&&&%%%$$$$$$''''''&&&%%%%%%%%%&&&&&&***+++,,,***'''%%%'''***''''''(((((())))))******(((((((((((())))))))))))'''(((((())))))*********************************)))'''&&&''')))******)))&&&''')))+++------------,,,++++++******++++++,,,******+++,,,,,,---......000000/////////.........******+++,,,---------,,,------------,,,,,,,,,,,,+++,,,------,,,+++,,,...///000000111111000//////000111222333333333222111333333333333333333333333222222222333444444555555444444555666666777888888666666666555555555444444222222222333555777999:::555555555555666666666666888888999999::::::::::::888999;;;:::999888888999<<<===>>>===;;;::::::::::::===???@@@@@@AAABBBDDDCCCCCCDDDEEEHHHMMMPPPSSSTTTUUUWWWYYYYYYYYYXXXWWWUUUVVVWWWXXXXXXXXXWWWWWWWWWVVVUUUTTTTTTTTTTTTTTTWWWUUUTTTSSSSSSQQQOOOLLLLLLKKKJJJJJJKKKNNNPPPRRROOOOOOPPPOOOOOONNNMMMMMMJJJJJJKKKLLLMMMOOOPPPQQQNNNNNNMMMLLLKKKJJJIIIIIIFFFGGGHHHIIIJJJJJJJJJJJJLLLLLLLLLLLLLLLKKKJJJJJJLLLKKKLLLMMMOOOPPPOOOMMMAAA???>>>===>>>???>>>======>>>@@@BBBDDDEEEGGGHHHIIIHHHFFFGGGHHHHHHGGGFFFAAABBBBBBAAA???>>>@@@AAADDDDDDEEEEEEDDDCCCCCCBBBBBB@@@>>>>>>>>>???>>>===>>>>>>>>>???@@@@@@@@@@@@????????????????????????=========<<<;;;;;;::::::999888777777777888:::;;;======<<<;;;;;;;;;;;;<<<::::::::::::999999888888333333222111111111111111222111///000111333222222""""""""""""######$$$$$$########################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%$$$############$$$%%%%%%&&&''''''%%%%%%$$$$$$$$$############$$$%%%&&&&&&%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$!!!"""###$$$%%%&&&&&&&&&$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%$$$###""" ########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$&&&'''(((((()))%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$%%%%%%%%%%%%$$$"""###%%%$$$###"""###$$$%%%$$$$$$######$$$$$$%%%%%%%%%$$$$$$$$$#########$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%"""######$$$$$$$$$$$$$$$#########$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%''''''''''''''''''''''''((((((((((((''''''''''''%%%&&&'''''''''&&&%%%$$$((('''&&&%%%%%%%%%%%%%%%$$$''')))'''###"""%%%)))'''''''''((()))*********'''((((((((()))))))))***''''''(((((()))******++++++++++++++++++++++++++++++)))((((((***+++******'''(((***+++,,,,,,,,,+++,,,++++++******++++++,,,)))******+++---....../////////.........---------,,,,,,+++++++++,,,,,,------------,,,,,,,,,++++++)))***,,,,,,,,,+++,,,......///000111111000///...///000222333333333111000222222222222222222222222222222222222222222222222555555555555555555666666555555555444444444444444222222333333444444555555333444444444555555555555666777777888888888888777666888999999888777888999;;;<<<<<<;;;999888888999999<<<@@@AAAAAABBBDDDFFFGGGGGGGGGIIIKKKNNNQQQRRRSSSTTTUUUVVVWWWYYYZZZ[[[XXXYYYZZZZZZZZZYYYWWWWWWUUUTTTTTTSSSSSSSSSTTTTTTTTTTTTSSSTTTTTTTTTQQQOOOPPPNNNMMMKKKKKKLLLMMMOOOOOOOOOOOONNNLLLJJJHHHGGGEEEFFFGGGIIIJJJJJJJJJIIIHHHGGGFFFFFFFFFFFFFFFFFFBBBCCCDDDEEEFFFGGGGGGGGGJJJJJJKKKKKKJJJJJJIIIHHHHHHHHHIIIJJJMMMMMMLLLJJJCCCAAA???>>>??????>>>======>>>???@@@BBBCCCDDDEEEGGGFFFEEEFFFGGGFFFDDDCCC@@@AAABBBAAA???>>>@@@BBBDDDDDDEEEEEEDDDDDDCCCBBBBBB@@@>>>===>>>>>>===<<<===>>>>>>??????>>>>>>>>>????????????????????????======<<<;;;999888777777666555555444555777999;;;<<<<<<::::::999::::::;;;;;;::::::999888777666666333222111111000111111111333111000000222333333222!!!!!!""""""#########$$$########################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###$$$%%%'''(((###$$$$$$%%%%%%%%%$$$$$$######$$$%%%%%%&&&''''''(((((((((''''''&&&&&&&&&###$$$&&&''''''&&&$$$########################### """###%%%%%%&&&&&&#########$$$$$$%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$########################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$###!!!########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######################## !!!$$$&&&((()))))))))%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$%%%%%%%%%%%%%%%"""###%%%%%%###"""###$$$%%%$$$$$$$$$$$$$$$$$$%%%'''''''''&&&&&&%%%%%%%%%$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%% !!!###$$$$$$$$$###""" !!!"""###%%%&&&'''(((%%%$$$$$$######$$$$$$%%%'''''''''''''''''''''''''''''''''((((((((((((((($$$%%%&&&'''''''''&&&%%%((('''&&&%%%%%%%%%%%%%%%$$$'''***)))&&&%%%)))---&&&''''''((()))******+++'''((((((((())))))******&&&''''''((()))******+++++++++++++++++++++++++++---,,,******+++,,,+++***))))))+++,,,,,,+++***))),,,++++++++++++++++++,,,)))******+++---...//////......---------,,,,,,,,,...---,,,+++***+++,,,------------,,,,,,+++++++++''')))+++,,,,,,,,,---...---...000222222111///...000222444555555444333222222222222222222222222222222222111111111111111111666666666555444444333333444444444444444444333333222333333333333222111000///000111333555666888888555555666666666666555555555777999999888777777888:::;;;;;;:::888777777888999<<<@@@BBBBBBBBBEEEHHHHHHHHHIIIJJJLLLNNNPPPQQQSSSSSSSSSTTTVVVYYY\\\^^^ZZZZZZ[[[[[[ZZZYYYWWWVVVSSSSSSSSSRRRSSSSSSTTTTTTRRRRRRRRRTTTVVVVVVTTTRRRSSSQQQOOOLLLKKKKKKKKKLLLPPPOOONNNLLLJJJGGGEEEDDDBBBDDDFFFGGGGGGFFFDDDCCCCCCCCCBBBBBBBBBBBBCCCDDD>>>???AAABBBDDDEEEEEEFFFIIIIIIJJJJJJIIIIIIHHHGGGFFFEEEFFFHHHJJJJJJIIIGGGEEECCCAAA@@@@@@???>>><<<===>>>???@@@AAABBBBBBCCCFFFEEEEEEFFFFFFEEECCC@@@???AAACCCBBB@@@???AAACCCDDDEEEEEEEEEEEEEEEDDDCCCDDDBBB@@@???@@@@@@???>>>===>>>>>>>>>>>>======<<<>>>>>>>>>>>>>>>>>>>>>>>>======;;;:::888777555555444444333333444777999;;;;;;:::999888888888999:::::::::999888777666555444444444333333222333333333333222000111222444333333%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%###"""  """###&&&&&&&&&&&&&&&&&&&&&&&& ###&&&&&&###"""$$$&&&%%%%%%%%%&&&&&&'''''''''((('''%%%#########%%%&&&***)))((('''&&&%%%$$$$$$%%%%%%%%%$$$$$$$$$$$$######$$$%%%&&&&&&%%%$$$###&&&%%%###""""""###%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&&&&%%%$$$###$$$&&&((((((&&&%%%%%%&&&'''&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%$$$#########$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$###"""""""""%%%%%%$$$$$$%%%%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&######$$$%%%&&&&&&''''''###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$######""""""###$$$%%%%%%%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%%%%%%%$$$##################$$$$$$%%%%%%%%%%%%%%%$$$$$$###"""&&&&&&%%%$$$######$$$$$$'''((()))++++++)))((('''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%&&&'''))))))'''%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%$$$$$$$$$%%%&&&%%%$$$######%%%'''((('''''''''&&&&&&%%%%%%%%%)))))))))))))))******+++))))))))))))))))))))))))))))))*********))))))((())))))************))))))))))))************))))))******+++++++++,,,,,,,,,,,,+++)))((((((((()))***)))******+++---...//////---,,,,,,,,,------...///,,,,,,,,,---------......---------,,,,,,+++++++++******+++,,,...///000000---......///////////////222333333444444444333333000000000000000000111111111111111111111000///...111111111222333333444444000111111111111222222222333333222222222333444444000111333555666666555555444555555555555555444444444666999;;;=========<<<999999999999999999::::::999;;;>>>??????@@@BBBCCCHHHIIIIIIHHHHHHIIIMMMOOOUUUTTTRRRQQQPPPPPPQQQQQQVVVWWWWWWXXXYYYYYYYYYXXXZZZXXXVVVTTTRRRPPPOOONNNLLLNNNRRRUUUUUUTTTRRRPPPSSSRRRQQQOOOMMMLLLKKKKKKOOOOOONNNMMMKKKHHHEEEDDD@@@@@@AAABBBBBBCCCCCCDDDDDDDDDDDDCCCBBBAAA@@@??????@@@BBBCCCDDDEEEEEEEEEDDDFFFIIIJJJIIIHHHIIIIIIDDDDDDEEEEEEEEEEEEEEEEEEGGGFFFCCCAAA>>>===;;;;;;??????>>>??????@@@AAAAAACCCDDDDDDEEEDDDCCCAAAAAA@@@@@@>>>>>>???AAACCCEEEEEECCCBBBBBBCCCDDDCCCBBBFFFDDDAAA@@@@@@@@@@@@???<<<<<<===>>>>>>===<<<;;;<<<<<<<<<===<<<<<<;;;;;;;;;;;;:::888777555444333444444555666777888999999<<<;;;:::999999999:::;;;::::::999888777666555444444444444333222111000///111111111222222333333333%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%$$$###""""""###$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&'''((())))))'''&&&&&&'''%%%%%%%%%%%%&&&&&&&&&&&&((('''%%%######$$$%%%&&&'''''''''&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$#########$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%$$$$$$$$$$$$&&&'''&&&%%%$$$%%%&&&'''&&&%%%%%%$$$$$$%%%%%%&&&%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$############$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&''''''###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$#########"""###$$$%%%%%%%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%$$$############$$$%%%%%%$$$$$$%%%%%%%%%$$$######$$$$$$###"""""""""""""""&&&''')))******)))'''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&((())))))'''%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%$$$$$$$$$%%%$$$###"""!!!"""###%%%&&&((('''''''''''''''&&&&&&)))(((((((((((()))******))))))))))))))))))))))))))))))************)))))))))))))))******)))))))))))))))************))))))*********+++++++++,,,,,,,,,,,,***)))))))))***+++))))))***+++,,,---......---,,,,,,,,,,,,,,,------,,,,,,,,,---------......------,,,,,,,,,+++++++++,,,,,,,,,------.........---......///////////////111111222333333333333333111111111111000000000000000111111111111000000///000000000000111111111111000000111111111222222222111111111111111222333444222222333444555555555555555555666666666666555555444666888;;;<<<<<<<<<;;;:::::::::999999888888888999:::<<<<<<===>>>AAACCCGGGGGGHHHGGGGGGHHHKKKNNNTTTSSSRRRPPPOOOOOOOOOPPPQQQRRRTTTUUUWWWXXXXXXXXXWWWVVVTTTRRRPPPNNNMMMMMMLLLNNNQQQSSSTTTSSSQQQPPPQQQPPPNNNLLLKKKJJJJJJJJJNNNNNNNNNMMMKKKIIIFFFEEEBBBBBBBBBCCCCCCCCCCCCDDDCCCCCCBBBAAAAAA@@@??????===>>>??????@@@AAAAAAAAABBBEEEGGGHHHHHHGGGHHHIIIBBBBBBCCCCCCDDDDDDEEEEEEFFFEEECCCAAA@@@???>>>>>>======<<<<<<<<<===>>>>>>??????@@@AAAAAA@@@>>>>>>>>>>>>===<<<===???AAABBBDDDCCCAAA@@@AAAAAAAAA???DDDBBB???>>>???@@@??????;;;<<<============<<<;;;;;;;;;<<<<<<<<<;;;:::::::::999888777666555444333333444444555666777888888999999888777888888999::::::999999888777666555444111111111111111000///...333222222222222222222111%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&'''''''''%%%###%%%%%%%%%%%%$$$$$$$$$$$$'''&&&%%%$$$###$$$%%%&&&$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$###""""""%%%%%%$$$$$$$$$$$$%%%%%%###$$$&&&((((((&&&$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$######%%%''''''&&&%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&######""""""######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###############$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%############%%%&&&$$$############$$$%%%%%%######$$$%%%%%%%%%$$$$$$$$$######""""""""""""###%%%&&&'''(((((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$&&&(((***)))&&&$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%$$$###"""""""""###%%%&&&'''''''''((((((((((((((((((''''''''''''((())))))(((((((((((((((((((((((())))))************))))))))))))))))))))))))))))))))))))************))))))*********++++++++++++,,,---,,,++++++******++++++(((((()))***+++,,,,,,---,,,,,,++++++***+++++++++,,,,,,,,,---------......,,,,,,,,,,,,++++++++++++---------------------------......///////////////...///000222222333333333222222111111111000000000000000111111222111111111000000////////////......000000000111111111222222/////////000000222333333444333333333333333444444666666666666666666666666333555888:::;;;;;;;;;:::999999888888777777777666777888999999999<<>>>>>???@@@>>>>>>>>>>>>>>>>>>>>>===@@@CCCFFFGGGGGGGGGGGGHHHBBBBBBBBBCCCCCCCCCDDDDDDEEEDDDCCCAAA@@@@@@@@@@@@===<<<<<<;;;;;;;;;<<<<<<;;;<<<===>>>>>>>>>===<<<;;;;;;:::::::::<<<===>>>@@@>>>======???@@@??????@@@>>>======>>>??????>>>;;;;;;<<<<<<<<<<<<;;;;;;:::;;;;;;;;;;;;:::999888777777666666555444444333222222333444555666777777777666666666777888999:::999999888777666555555444000111111111111111000000333333333222111111000000$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%''''''((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&'''%%%$$$%%%((()))&&&###%%%%%%%%%$$$$$$#########&&&&&&%%%$$$$$$$$$%%%&&&######$$$$$$$$$%%%%%%%%%'''&&&&&&%%%$$$###""""""&&&%%%$$$######$$$%%%&&&%%%%%%''''''''''''%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$######$$$%%%&&&%%%%%%$$$###!!!"""%%%''''''&&&%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$###$$$$$$%%%''''''&&&%%%%%%$$$#########$$$$$$%%%&&&'''''''''###############$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########""""""%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###""""""""""""###$$$$$$"""###$$$$$$%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%%%%$$$%%%&&&&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$&&&(((***)))&&&###&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&%%%%%%%%%%%%&&&'''(((&&&&&&''''''((((((((()))'''&&&&&&&&&&&&'''((((((''''''''''''''''''''''''((())))))************))))))))))))(((((()))))))))))))))************))))))************++++++++++++,,,,,,++++++************'''(((((()))***+++++++++,,,+++******************,,,,,,,,,---------......,,,+++++++++++++++++++++,,,,,,,,,------------------......///////////////---...///000222222333333333222222111111000000//////000111111222222222222111000000///......------000000000000111111111111/////////000111222333444555444333222222222333444555444444444555555555666333555777:::;;;;;;:::999555555555555666666666666666666666666777:::>>>BBBFFFGGGHHHHHHGGGHHHKKKMMMQQQQQQPPPOOONNNMMMLLLLLLLLLMMMOOOQQQRRRTTTUUUUUUSSSRRRPPPNNNLLLKKKJJJJJJJJJKKKMMMNNNNNNNNNMMMMMMJJJIIIGGGFFFFFFGGGHHHHHHIIIIIIIIIHHHGGGFFFEEEDDDEEEDDDDDDCCCBBBBBBAAAAAAAAA@@@>>>======>>>???AAABBBAAA@@@@@@???>>>>>>>>>???BBBEEEGGGHHHHHHIIIJJJFFFFFFEEEEEEDDDCCCCCCCCCEEEDDDCCCAAA@@@????????????>>>===<<<<<<<<<<<<<<<;;;<<<===>>>??????>>>===999999888888888999:::;;;:::999999:::===???@@@???===;;;:::;;;===>>>>>>===:::::::::;;;;;;;;;;;;;;;:::::::::::::::999888777555555555444444333333333111111222333444555555666555555666666777888999:::888888777666666555444444222222333333444333333333222222222111111111111111$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&(((&&&%%%(((,,,...---***%%%%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$$$$#########&&&&&&%%%%%%$$$###""""""'''&&&%%%$$$$$$%%%&&&'''''''''%%%%%%%%%%%%''''''$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$######$$$%%%&&&%%%%%%$$$###!!!"""%%%''''''&&&%%%%%%$$$$$$%%%%%%%%%$$$$$$###$$$$$$%%%%%%''''''&&&%%%%%%$$$######""""""###$$$%%%&&&''''''$$$$$$$$$$$$$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########""""""#################################"""""""""""""""###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%"""###%%%&&&&&&%%%###"""!!!!!!!!!!!!!!!"""######"""###$$$$$$%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%''')))(((&&&###&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&'''''''''&&&%%%&&&&&&&&&&&&&&&&&&''''''%%%%%%%%%&&&&&&''''''(((&&&&&&&&&&&&&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&(((((()))***************))))))(((''''''((())))))))))))************))))))))))))*********+++++++++***************))))))(((((((((((())))))******++++++******))))))*********,,,,,,,,,---------......++++++++++++++++++++++++******+++,,,---...///000---......///////////////,,,---///000111222222333333222222222111111000000///000111222222222222222222222111000//////......//////000000000111111111000000000111111333444444555444222111111222333444333222222222222333444555444555888:::;;;:::999999111222222333444555666666555555666555666999>>>BBBFFFHHHIIIIIIIIIJJJLLLMMMOOOOOOOOONNNNNNMMMLLLLLLNNNOOOPPPQQQQQQQQQQQQQQQRRRQQQOOOMMMKKKJJJJJJIIIJJJJJJJJJJJJKKKKKKKKKKKKGGGFFFFFFFFFFFFFFFFFFFFFEEEEEEDDDCCCCCCCCCCCCCCCDDDCCCBBBBBBAAA@@@??????AAA@@@>>>======???AAABBBDDDCCCBBB@@@????????????@@@CCCFFFIIIJJJKKKLLLNNNLLLLLLJJJIIIGGGEEEDDDCCCGGGFFFCCCAAA???===<<<<<<>>>>>>===<<<<<<;;;<<<<<<;;;<<<===>>>??????>>>===888888888888888999999999;;;999888999;;;======<<<:::999999:::<<<===<<<;;;999999999999999:::;;;;;;::::::::::::999888777666555444444444333333222222000000111222333444555555555666666777888999999:::777777666666555444444444222333333444444444333333//////000111222222333333$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&######$$$'''***,,,,,,,,,%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$#########%%%%%%%%%$$$$$$$$$######&&&&&&%%%%%%%%%%%%&&&&&&(((&&&$$$######$$$&&&(((###$$$$$$%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$######%%%''''''&&&%%%%%%$$$$$$%%%%%%$$$$$$######$$$$$$%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$"""######$$$%%%&&&&&&'''%%%%%%$$$$$$%%%%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$#########!!!!!!!!!!!!!!!!!!!!!!!!""""""""""""""""""""""""###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&&&&%%%$$$###"""!!!!!!!!!!!!"""############$$$%%%%%%%%%$$$$$$$$$############$$$$$$%%%%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&'''(((&&&$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''(((((('''&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''(((((('''''''''''''''''''''''''''((()))******+++******))))))''''''''''''))))))))))))************)))))))))))))))************+++)))************)))(((((((((((())))))******************))))))***++++++,,,,,,,,,,,,---------......*********+++++++++++++++)))***+++,,,...///000111---......///////////////---...///111111222222222222222222222222222222222111111222222333222222222333333222111111000///////////////000000000111111222111111111111222333333333222222222222222333333222111000000111222444555555666888:::;;;;;;:::999111222222333444555666666444555666777888:::???BBBFFFHHHJJJJJJJJJJJJLLLMMMMMMMMMNNNNNNNNNNNNMMMMMMPPPPPPQQQQQQPPPPPPOOONNNPPPOOOMMMKKKJJJIIIIIIHHHIIIHHHHHHGGGGGGHHHIIIIIIEEEFFFGGGHHHHHHFFFEEEDDDAAAAAA@@@@@@@@@AAAAAABBBBBBBBBBBBAAA@@@??????>>>AAA@@@??????@@@AAABBBCCCDDDCCCAAA???>>>>>>>>>>>>@@@CCCGGGJJJLLLMMMOOOQQQQQQPPPOOOMMMKKKIIIGGGFFFHHHGGGEEEBBB@@@>>><<<<<<<<<;;;;;;:::::::::;;;;;;;;;<<<===>>>>>>>>>===<<<999999::::::::::::::::::???===::::::::::::999888999999999:::<<<===;;;:::888888777777888999:::;;;;;;;;;;;;:::999888777666555555555444333222222111000000111222333444555555555666777888999999888888666666555555444444444444111222222222222222111111---...///000111333444444##############################$$$$$$$$$%%%%%%%%%&&&%%%$$$######$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&"""$$$&&&&&&'''(((***%%%%%%%%%%%%&&&&&&&&&&&&###$$$%%%%%%&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%######$$$%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%$$$$$$$$$$$$&&&'''&&&%%%$$$%%%&&&'''&&&%%%%%%$$$$$$%%%%%%$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&''''''$$$$$$$$$$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$########################""""""######$$$$$$%%%%%%###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%$$$######$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%###""""""###%%%&&&###############$$$$$$%%%$$$$$$%%%%%%%%%$$$#####################$$$%%%&&&%%%%%%%%%$$$$$$%%%%%%%%%########################&&&$$$###$$$&&&'''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''((()))((('''&&&###$$$$$$%%%%%%%%%%%%%%%''''''''''''&&&&&&&&&&&&'''''''''&&&'''(((((()))'''''''''''''''''''''''''''((()))******+++++++++***)))'''&&&&&&''')))***))))))************))))))))))))))))))******************+++++++++***)))((())))))************++++++)))))))))***+++,,,---...,,,,,,,,,---------......)))*********++++++++++++++++++,,,,,,---...//////---......//////////////////000111111222222222111000111111222222333333444222222333333333222111111222222222111111000000000////////////000000000111222222111000000000000111000111222333333333333333222111000000111333555666666777999;;;<<<;;;:::999666666666666666666555555444555888999:::<<<@@@BBBEEEGGGIIIJJJIIIJJJKKKLLLKKKLLLMMMOOOOOOOOOOOOOOOOOOOOOPPPOOOOOONNNMMMMMMMMMLLLKKKIIIHHHGGGFFFFFFHHHGGGFFFEEEEEEFFFGGGHHHDDDFFFIIIKKKJJJHHHDDDBBB@@@????????????@@@BBBCCCBBBBBBBBBAAAAAA@@@@@@@@@AAAAAAAAABBBCCCDDDDDDEEEDDDBBB@@@>>>===>>>>>>??????CCCGGGJJJLLLNNNPPPRRRRRRQQQPPPOOOMMMLLLKKKKKKIIIHHHFFFDDDBBBAAA@@@???;;;;;;;;;;;;;;;;;;<<<===??????@@@AAAAAA@@@>>>>>>;;;;;;<<<<<<<<<<<<;;;;;;===<<<::::::;;;<<<<<<;;;:::999999:::<<<<<<:::888777777666666777888:::;;;<<<<<<<<<;;;:::888777666777666555444333222111111000111111222333444555555555555666777777777666555555555555444444444444333333333333333222111000000...//////000111222222333##############################$$$$$$$$$%%%%%%%%%'''&&&$$$######$$$&&&'''&&&&&&&&&&&&&&&&&&&&&&&&"""&&&))))))''''''))),,,%%%%%%%%%&&&&&&'''''''''###$$$%%%&&&&&&&&&&&&&&&"""###$$$%%%&&&'''(((((("""######$$$$$$%%%&&&&&&$$$%%%''''''''''''%%%$$$"""###%%%&&&&&&%%%###"""######$$$%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&&&&%%%$$$###$$$&&&((((((&&&%%%%%%&&&'''&&&%%%%%%$$$$$$%%%%%%$$$#########$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''''''''''''''#########"""###$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&######$$$%%%&&&&&&''''''$$$$$$$$$%%%%%%$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%$$$######$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%***&&&""""""&&&***%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%$$$###"""%%%%%%%%%%%%&&&&&&'''(((&&&%%%%%%$$$$$$%%%%%%&&&########################'''%%%######$$$&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''))))))((('''&&&%%%&&&''''''((((((''''''))))))(((((('''''''''&&&(((''''''''''''((())))))((((((((((((((((((((((((''''''(((******+++++++++***((('''&&&&&&'''(((***))))))************))))))))))))))))))************++++++,,,---,,,+++***)))***************+++++++++((())))))***+++---...///,,,,,,,,,---------......))))))******++++++++++++---------------------------......///////////////000111111222222222111111000000111222333444444555333333333333333222111000111111111111000000000000////////////000000000000222111000//////............000222333444444333333333222111111111333666777777888:::<<<<<<<<<;;;:::;;;:::999888777666555555333666999;;;<<<>>>@@@BBBDDDFFFHHHIIIIIIIIIJJJKKKJJJKKKMMMOOOPPPPPPPPPPPPMMMMMMNNNNNNNNNMMMMMMLLLKKKJJJIIIGGGFFFEEEEEEEEEHHHGGGEEECCCCCCDDDFFFGGGDDDGGGJJJMMMLLLHHHDDDAAA@@@????????????AAABBBCCCCCCCCCBBBBBBBBBBBBAAAAAAAAAAAACCCDDDEEEFFFFFFEEEEEEDDDBBB@@@??????@@@AAA???BBBGGGJJJLLLNNNQQQRRRPPPPPPPPPOOOOOOOOONNNNNNIIIHHHGGGEEEDDDDDDCCCCCC===============>>>???@@@CCCDDDEEEEEEDDDCCCBBBAAA=========>>>>>>===<<<<<<888777777:::===@@@AAAAAA:::999:::;;;<<<<<<:::888777666666666666888:::;;;<<<<<<<<<;;;:::999777777888777666555333222111000111111222333444555555666444555666666666555444333444444444444444444333333666666666555444333222111000000000000111111111111###$$$$$$$$$$$$$$$###"""$$$$$$$$$###############'''&&&$$$###"""######$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%$$$#########$$$%%%%%%$$$$$$%%%''''''%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$"""$$$&&&&&&%%%#########((('''%%%$$$###"""""""""%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&######""""""###%%%'''(((%%%%%%%%%$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&'''((())))))%%%%%%$$$$$$###"""""""""######$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$##################$$$$$$%%%%%%%%%)))'''%%%### $$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$######""""""######%%%$$$###############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######"""###$$$&&&'''%%%%%%$$$$$$$$$%%%&&&'''&&&$$$""""""$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$$$$$$$'''''''''(((((((((((()))%%%%%%%%%&&&&&&&&&''''''$$$%%%&&&&&&''''''&&&&&&((((((((((((((((((((((((++++++******))))))((((((&&&&&&&&&&&&&&&%%%%%%%%%))))))))))))))))))))))))***(((((())),,,---,,,)))++++++******))))))((((((++++++***************+++++++++++++++++++++++++++,,,,,,++++++,,,,,,---...''')))+++,,,---,,,***)))***,,,...//////...,,,+++000000000000////////////222222111000000000000000111111222222222222111111444333111000000111333444555444333222111///............//////000111111111000000111111111111000000111111222222222222111111444444444555555555666666555777999;;;<<<<<<<<<;;;>>>===;;;:::999888888888888888999:::;;;>>>@@@BBBCCCDDDFFFGGGIIIKKKLLLMMMQQQPPPNNNLLLLLLNNNPPPQQQNNNLLLKKKKKKLLLMMMMMMLLLKKKHHHFFFDDDDDDDDDCCCCCCEEEDDDDDDDDDDDDDDDEEEFFFEEEFFFFFFGGGGGGHHHIIIIIIBBBAAA@@@BBBDDDDDDBBB???BBBCCCBBB@@@??????@@@BBBEEEDDDBBBAAA@@@BBBCCCDDDGGGFFFCCC@@@>>>>>>??????CCCDDDFFFIIIJJJKKKKKKKKKMMMPPPSSSVVVVVVTTTQQQNNNMMMLLLKKKJJJHHHEEECCCBBB;;;;;;===>>>???@@@AAABBBDDDDDDEEEDDDDDDCCCBBBBBB>>>>>>===<<<<<<<<<<<<<<<<<<<<<<<<========================<<<;;;:::999888666666666888<<<>>>>>>>>><<<:::888666555555666777:::999888666555555555555555555444444444333333333666666666666666666666666555555555444333222000///000000000000////////////111111111111000...---,,,$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$#########&&&%%%$$$######$$$$$$%%%$$$%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$$$$$$$%%%&&&&&&%%%%%%%%%''''''&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$&&&%%%$$$######$$$############$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%############$$$%%%&&&&&&''''''&&&$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&'''''''''((((((""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&&&&'''$$$$$$$$$$$$$$$%%%%%%%%%######$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$##################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$$$$$$$$$$######"""""""""######$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$#########$$$%%%#########$$$$$$$$$%%%%%%&&&$$$$$$$$$&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$$$$%%%&&&&&&'''''''''(((((((((%%%%%%%%%&&&&&&&&&''''''$$$%%%&&&&&&''''''&&&&&&''''''''''''''''''''''''*********))))))))))))))))))(((((((((((((((((((((************************+++)))(((***,,,---+++)))*********))))))))))))))),,,++++++******+++++++++************************)))(((((((((((()))******((()))***+++,,,++++++******+++---.........------000/////////////////////000000///...............111111111222222111111111111111111222222111111111111111111000//////...............///000000111111000000111111111111000000111111222222222222111111333333333444444555555555777999;;;===>>>>>>=========<<<;;;999888888777777888888888999;;;===???AAABBBBBBCCCEEEGGGIIILLLMMMPPPOOONNNMMMLLLLLLLLLMMMKKKJJJIIIIIIKKKLLLKKKKKKJJJHHHFFFEEEDDDEEEDDDDDDCCCCCCCCCDDDDDDDDDDDDDDDEEEEEEFFFFFFFFFFFFGGGGGGGGGDDDBBBBBBDDDFFFEEEDDDEEEEEEEEECCCAAA@@@BBBDDDDDDCCCBBBBBBCCCDDDEEEFFFHHHFFFDDDAAA???>>>>>>???AAACCCEEEGGGIIIJJJJJJJJJKKKMMMQQQSSSTTTRRROOONNNLLLKKKJJJIIIFFFDDDBBBAAA<<<<<<===>>>@@@AAACCCDDDFFFFFFFFFEEECCCBBB@@@???>>>>>>==================<<<<<<============>>>>>>=========<<<;;;:::888888999888777999;;;===<<<;;;;;;:::888666555666777777888777777666666666666777666666555555555444444444666666666666666666666666555555555444333222000///000000000000////////////111111111111000///...---%%%$$$######$$$%%%'''((((((''''''&&&%%%$$$$$$###%%%%%%$$$$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$&&&%%%%%%$$$$$$%%%&&&&&&'''&&&%%%%%%&&&'''&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$######$$$&&&#########$$$%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$############%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%###$$$$$$%%%%%%%%%$$$$$$%%%%%%$$$$$$############%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&''''''''''''!!!!!!"""""""""#########$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%%%%&&&&&&###$$$$$$%%%&&&&&&''''''######$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###%%%%%%$$$$$$$$$$$$$$$$$$"""######%%%&&&'''(((((($$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$'''&&&%%%%%%$$$$$$%%%%%%"""!!!!!!!!!"""###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$'''&&&%%%$$$############!!!"""###$$$%%%$$$######%%%%%%%%%'''((((((%%%###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''$$$%%%&&&&&&''''''&&&&&&))))))))))))))))))))))))((())))))))))))))))))***)))))))))))))))*********************************+++*********++++++***((())))))))))))************+++++++++******++++++,,,************************'''''''''&&&'''(((((()))*********+++++++++++++++***++++++,,,---......///////////////////////////000000///............///111111111111111111111111...///111222222111///...........................---......//////000000111111111111111111111111111111111222222222222111111111222222333444555555666888999;;;===>>>>>>======;;;;;;999888777777777777777777777888:::<<<>>>@@@@@@@@@AAABBBEEEHHHKKKMMMPPPPPPPPPOOONNNLLLJJJIIIIIIHHHGGGHHHJJJKKKKKKJJJHHHGGGFFFEEEDDDCCCCCCCCCAAABBBCCCDDDEEEDDDDDDCCCFFFEEEEEEEEEEEEDDDDDDDDDHHHFFFCCCBBBCCCEEEFFFFFFGGGHHHGGGFFFDDDCCCDDDEEECCCCCCDDDEEEFFFGGGHHHHHHIIIGGGDDDAAA???>>>======>>>@@@BBBEEEFFFGGGHHHHHHHHHJJJMMMOOOPPPOOOMMMLLLIIIIIIHHHFFFDDDBBB@@@???=========>>>@@@BBBEEEFFFHHHGGGFFFEEEBBB@@@>>>===???>>>>>>>>>>>>>>>??????<<<<<<======>>>>>>>>>>>>======<<<<<<;;;:::888777;;;999888999;;;;;;;;;999;;;:::888777666666777888666666666777777777888888666666666666555555555555555555555555555555555555444444444444333222000000////////////000000000000111222222222111000//////$$$###""""""$$$&&&)))+++++++++***((('''%%%$$$$$$$$$$$$$$$%%%%%%&&&''''''&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%'''%%%$$$$$$%%%%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""###%%%''')))((('''%%%$$$#########%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$######"""%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%$$$###$$$%%%&&&&&&$$$###""" """###$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&'''''''''$$$$$$$$$$$$%%%%%%&&&&&&######$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$########################&&&&&&%%%$$$$$$$$$$$$$$$!!! !!!!!!"""###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########!!!"""$$$%%%&&&%%%###"""%%%%%%''')))+++)))&&&"""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$%%%&&&&&&''''''&&&&&&************************'''((((((((())))))******((((((((((((((()))))))))************************+++++++++++++++***)))((((((((())))))******++++++******)))))))))***++++++************************)))))))))))))))***++++++++++++*********+++,,,---*********+++,,,...///000.........///////////////333222111111000000111111222111111111111111111222///000111222222111000///........................---......//////000111111111111111111111111111111111222222333333222222111222222333444555666777888777888999:::;;;;;;;;;;;;:::999888777666666666666777777777777999;;;===>>>@@@@@@@@@BBBEEEIIILLLOOOSSSTTTUUUUUUSSSOOOKKKIIIIIIIIIIIIJJJLLLMMMMMMLLLJJJJJJIIIFFFCCCAAAAAAAAAAAABBBDDDFFFGGGFFFEEEDDDGGGGGGFFFEEEEEEDDDCCCCCCEEEDDDCCCCCCCCCDDDDDDDDDHHHHHHIIIGGGEEEDDDEEEFFFEEEFFFGGGHHHIIIIIIHHHHHHHHHFFFDDDAAA???===<<<<<<<<<===@@@CCCDDDFFFFFFFFFEEEGGGIIIKKKLLLLLLKKKJJJGGGFFFEEEDDDBBB@@@>>>======<<<<<<===???BBBEEEGGGFFFFFFEEEDDDBBB@@@>>>===?????????>>>??????@@@AAA=========>>>>>>??????@@@=========<<<;;;:::999888:::999888999;;;<<<;;;:::999999888777777777888999777777777888888777777777555555555555444444444444444444444444444444444444444444444333333111000000////////////000000000000111111222222222111111000######"""###%%%(((+++...///...,,,+++)))'''%%%$$$###$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$"""######$$$$$$$$$$$$$$$&&&$$$""""""###$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$###"""###%%%(((+++)))(((%%%###"""!!!!!!%%%%%%%%%%%%%%%%%%%%%%%%(((((('''&&&%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%###$$$%%%&&&&&&$$$###""" """###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&%%%$$$$$$$$$#########"""######$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################%%%%%%$$$###############!!!!!!!!!!!!"""###%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%%%%%%%%%%"""###%%%''''''&&&%%%###$$$%%%'''***+++***&&&"""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''$$$%%%&&&&&&''''''&&&&&&))))))))))))))))))))))))''''''(((((()))))))))***(((((((((((())))))******************************++++++,,,+++***)))))))))(((((())))))******++++++((((((((((((((()))******,,,,,,,,,,,,,,,,,,,,,,,,++++++******++++++,,,---++++++******++++++,,,---************,,,---///000------....../////////000333333222111111111111111222222111000000111222222333222111111111111222333111111000//////......---......//////000111111111222222111000000111222222222222333333333333222222333333444666777999::::::888888999:::;;;;;;;;;;;;999999888777666666666666777777666777888:::<<<===AAAAAABBBDDDGGGKKKNNNPPPVVVXXXYYYZZZXXXSSSOOOKKKKKKKKKKKKNNNPPPQQQPPPOOOOOOPPPOOOLLLGGGCCCBBBBBBBBBDDDFFFHHHIIIHHHGGGFFFHHHHHHGGGFFFEEEDDDDDDCCCBBBDDDFFFGGGGGGEEEDDDCCCFFFGGGHHHGGGFFFEEEEEEFFFIIIJJJJJJJJJIIIHHHGGGGGGGGGEEEDDDAAA???===<<<<<<:::<<>>AAACCCDDDBBBCCCCCCBBBBBBAAA@@@???@@@@@@????????????@@@@@@======>>>>>>???@@@@@@AAA>>>>>>>>>===<<<;;;:::999888888777999;;;===<<<<<<888888888888888999999999999999999999888777555555444444444333333333222222333333333333333333333333333333333333222111000000.../////////000000000111000111111222222222111111######$$$&&&))),,,///111222111///---***(((&&&%%%######$$$%%%%%%%%%$$$$$$&&&%%%%%%%%%%%%%%%%%%$$$""""""###$$$%%%%%%%%%%%%(((%%%###"""#########"""$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$$$$###$$$%%%'''&&&&&&%%%$$$############%%%%%%%%%%%%%%%%%%%%%%%%)))(((((('''&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&###$$$$$$%%%%%%%%%$$$$$$###$$$%%%%%%%%%$$$"""!!!%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&%%%%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$%%%%%%$$$######"""!!!!!!######$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$"""######$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$######""""""#########"""""""""###$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!"""###%%%%%%&&&%%%%%%###$$$%%%&&&'''&&&%%%%%%$$$%%%''')))+++)))&&&"""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''(((((((((((((((((()))))))))******++++++,,,,,,++++++++++++++++++++++++)))+++,,,,,,***))))))***))))))))))))************((((((((((((((()))***+++------------------------***************++++++,,,++++++++++++,,,,,,,,,,,,)))******+++,,,------...---------......//////000111111000////////////000333222111000000111222333555333111000000111333555222222111111000///......//////000111111222222333333222111000000111222333222222333333333333222222333444555777999:::<<<<<<;;;;;;;;;<<<<<<<<<======999999888777777666777777888777777777888:::<<<===AAACCCEEEGGGJJJLLLNNNOOOTTTVVVYYYZZZXXXTTTPPPMMMKKKKKKMMMOOORRRTTTRRRQQQSSSUUUUUUQQQKKKFFFEEEEEEDDDEEEGGGHHHIIIIIIIIIIIIHHHHHHGGGFFFEEEEEEDDDDDDCCCGGGKKKLLLKKKHHHFFFEEEDDDEEEGGGHHHFFFFFFFFFGGGLLLLLLKKKJJJIIIHHHGGGGGGFFFFFFEEECCCBBB@@@???>>>:::<<>>===<<<;;;;;;<<<>>>???@@@AAAAAA???@@@AAAAAABBBBBBAAAAAAAAA@@@@@@???>>>>>>??????======>>>???@@@AAAAAABBB@@@@@@??????>>><<<;;;:::888777777999;;;======<<<777888888999999:::::::::999:::::::::999777555444333333333333222222222111222222222222222222222222222222333222222111000000......//////000000111111//////000111222222222222$$$&&&(((+++...111444555444333111...+++)))'''&&&"""###$$$$$$$$$###"""!!!$$$%%%%%%%%%%%%%%%%%%&&&###$$$%%%'''''''''''''''***'''$$$###$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!###%%%%%%$$$$$$%%%&&&###"""""""""######$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&'''''''''############$$$%%%&&&&&&%%%&&&''''''&&&$$$""" %%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%%%%$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%!!!"""###$$$%%%&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$############$$$%%%$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%%%%$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&((()))(((%%%###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&'''%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%((((((((((((((('''''''''(((((())))))***++++++,,,++++++++++++++++++++++++'''***,,,,,,***)))***,,,*********)))))))))))))))))))))))))))***+++,,,---,,,,,,,,,,,,,,,,,,,,,,,,***************+++,,,,,,***+++,,,---------,,,+++)))***+++,,,---,,,,,,+++,,,,,,---......///000000222111000000//////000000333222111//////111222333222222111111111111222222000000000000000000000000111111111222333333444444444333111000000111333444222333333444444333333222222333444666888:::<<<===<<<;;;;;;;;;<<<<<<======999999888777777777888888999888888888999;;;<<<===AAACCCFFFIIIKKKLLLLLLLLLNNNPPPRRRTTTSSSQQQMMMKKKIIIIIIKKKNNNRRRSSSRRRPPPPPPRRRTTTQQQJJJFFFEEEGGGDDDEEEEEEGGGHHHIIIIIIJJJFFFFFFFFFEEEEEEDDDDDDDDDEEEHHHKKKLLLJJJHHHGGGHHHBBBEEEGGGHHHHHHHHHHHHIIILLLKKKJJJIIIHHHHHHIIIJJJHHHHHHGGGGGGFFFDDDCCCBBB;;;<<>><<<<<<;;;===???@@@AAAAAA@@@?????????@@@AAAAAAAAAAAAAAABBBAAA@@@???>>>============>>>>>>???@@@AAABBBCCCAAAAAAAAA@@@???>>>===<<<:::999888999;;;<<<;;;:::666777888999::::::;;;;;;888888:::::::::888666555444444333333333222222222222222222222222222222222111222222222222111111000.........///000111111111---...///000111111111111&&&(((+++///222555777888666444222///,,,)))'''&&&"""###$$$$$$###"""!!! $$$$$$$$$%%%%%%&&&&&&&&&$$$%%%''')))***))))))(((,,,)))&&&%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$ """%%%&&&%%%%%%%%%&&&###"""""""""""""""######%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%&&&'''((((((######""""""###%%%'''(((###$$$&&&''''''&&&%%%###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######"""""""""""""""""""""############$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%&&&&&&'''######$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%#########$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&%%%$$$"""!!!######""""""######$$$%%%%%%%%%%%%'''((((((%%%###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&'''%%%%%%&&&&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''$$$%%%&&&&&&''''''&&&&&&(((((((((((((((((((((((())))))(((((('''''''''&&&%%%&&&&&&'''((()))))))))++++++++++++++++++++++++&&&))),,,,,,***)))+++---++++++******))))))((((((++++++++++++,,,---...///++++++++++++++++++++++++,,,,,,++++++,,,,,,---...)))***,,,......---,,,+++)))***,,,------,,,+++))),,,,,,------...///000000444333222222111222222222333222000//////000222333...000111222222111000.........//////000111111222111222222333333444555555444333111000000111333444222333333444444333333222111222333555888:::;;;<<<::::::999999999:::;;;;;;:::999888888888888888888999999888888999;;;===>>>AAACCCGGGJJJLLLLLLKKKJJJHHHJJJLLLNNNNNNMMMJJJHHHFFFGGGIIIMMMPPPQQQPPPNNNIIIMMMOOOMMMGGGCCCDDDFFFDDDDDDDDDEEEFFFHHHIIIJJJDDDDDDDDDDDDDDDCCCCCCCCCEEEGGGIIIHHHFFFEEEGGGIIIBBBDDDHHHIIIIIIIIIJJJKKKKKKJJJHHHGGGHHHIIIKKKLLLIIIIIIJJJIIIIIIHHHFFFFFF;;;===@@@CCCFFFGGGHHHHHHKKKIIIHHHFFFFFFFFFGGGGGGBBBBBBAAAAAA???>>><<<<<<<<<>>>AAACCCCCCBBB@@@>>>???@@@@@@AAAAAAAAA@@@@@@BBBAAA@@@>>>===<<<<<<<<<===>>>>>>@@@AAABBBCCCCCCBBBBBBBBBAAA@@@???>>>===<<<;;;999:::;;;;;;999888666777888999:::;;;;;;;;;555777999:::::::::888777555555444444444333333333111111111111111111111111111111222222222111111000---......///000111111222,,,---...000111111111111))),,,111666888888666555888666333000,,,***((('''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%&&&(((((())))))&&&$$$###$$$%%%%%%$$$%%%%%%$$$###""""""""""""###############$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$'''&&&&&&%%%%%%$$$$$$###&&&&&&&&&''''''''''''((('''&&&&&&%%%%%%$$$$$$###&&&&&&%%%%%%%%%%%%$$$$$$"""###$$$$$$%%%&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$"""############$$$$$$$$$'''%%%###"""!!!"""###$$$!!!$$$''''''%%%$$$$$$&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$######$$$%%%%%%%%%$$$###"""""""""###$$$$$$%%%%%%&&&%%%$$$"""!!!""""""###$$$$$$$$$$$$###!!!%%%''''''%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%&&&''''''"""######$$$&&&''''''(((#########$$$$$$#########''''''''''''&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%$$$%%%&&&'''(((%%%%%%&&&&&&'''&&&&&&&&&(((((('''&&&&&&((()))***%%%&&&&&&'''''''''''''''&&&((())))))'''&&&'''((((((((((((((()))))))))))),,,,,,+++***))))))******+++)))&&&$$$%%%'''+++...******+++++++++,,,,,,,,,***+++,,,---...---,,,+++,,,---------,,,,,,+++***++++++,,,,,,,,,,,,------***+++,,,,,,+++***((('''+++,,,------......------///............//////000///000222222111111222444333222111/////////000000111333555444333222333333111111000000000000111111222222222111111111000000555444222333444444333222222222333444555555555555444444555777888999:::;;;999999999999::::::;;;<<<:::999999888777666555555666666777777888999;;;<<>>===>>>>>>@@@AAABBBBBBBBBAAA???>>>DDDCCCBBBAAA@@@?????????@@@???>>>===<<<<<<<<<<<>>======<<<;;;;;;???@@@AAABBBBBBBBBAAA@@@CCCCCCCCCBBB@@@???===<<<;;;:::999777666666777777666666666777888999:::;;;888777777777666555555555444333222111000111111222222111111000//////........./////////000000000000111000000000/////////...000000000000000000000000000333666:::;;;<<<::::::777555111---)))&&&$$$###&&&&&&&&&''''''(((((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((())))))***(((&&&$$$$$$%%%&&&%%%$$$%%%%%%$$$$$$$$$%%%&&&&&&'''&&&&&&%%%$$$###""""""%%%%%%%%%%%%%%%%%%%%%%%%""""""######$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$###$$$$$$%%%&&&&&&''''''$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$%%%$$$###!!! !!!""""""###%%%&&&%%%""" !!!$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%&&&'''''''''''''''$$$&&&''''''&&&%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$###$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&***)))((('''%%%%%%%%%%%%''''''''''''&&&%%%$$$$$$######$$$%%%%%%%%%%%%%%%$$$%%%'''))))))((('''&&&%%%&&&((()))((((((((()))))))))*********+++++++++,,,+++******)))*********))))))***++++++++++++***))))))))))))************,,,++++++++++++,,,------,,,,,,,,,,,,,,,+++++++++++++++,,,,,,,,,,,,------,,,------............---***+++,,,,,,------,,,,,,//////......//////000111000222222222000///000111111000000///000000111222000222333333222111111222//////............//////111111111111000000000000111000//////111222111000111222333555666777777777444555666777999:::;;;;;;;;;:::888777777999;;;<<<888888888888888888888888999999999999:::<<<===>>>AAABBBBBBDDDEEEFFFGGGHHHJJJHHHHHHIIILLLOOOQQQQQQEEEEEEFFFGGGIIIJJJLLLMMMMMMMMMMMMMMMMMMLLLKKKKKKFFFFFFFFFFFFEEEEEEEEEEEECCCBBBAAA@@@@@@AAACCCDDDGGGFFFFFFFFFGGGGGGEEEDDDFFFFFFGGGGGGIIIJJJKKKLLLLLLKKKIIIHHHHHHJJJLLLMMMNNNMMMLLLLLLMMMMMMLLLJJJHHHIIIHHHGGGEEEDDDEEEFFFGGGGGGGGGGGGFFFEEEDDDDDDFFFFFFFFFEEEEEECCCBBBBBBGGGFFFFFFEEEDDDBBBAAA@@@CCCBBBAAA@@@@@@@@@@@@@@@>>>>>>??????>>>===<<<;;;>>>>>>???@@@@@@@@@@@@???AAA@@@???>>>=========>>>;;;:::888666444444444444444444555666777999:::;;;666666666666666666555555444333333222222222222333222222111111000/////////....../////////000000000000000000000////////////000000000000000000000000222333666888::::::999999999777222...***'''%%%%%%%%%%%%&&&&&&''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''(((((()))'''&&&%%%%%%&&&'''&&&%%%%%%%%%%%%%%%%%%&&&'''(((%%%%%%&&&&&&''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%""""""###$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&''''''$$$%%%%%%%%%%%%&&&&&&&&&######$$$%%%%%%&&&''''''&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$%%%%%%'''&&&%%%%%%%%%%%%&&&&&&!!!"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%$$$#########%%%%%%%%%&&&&&&'''''''''''''''%%%&&&'''&&&%%%$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&&&&&&&&&&%%%"""###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&))))))((('''&&&&&&%%%%%%''''''''''''&&&%%%$$$###"""###$$$&&&&&&%%%$$$$$$###%%%'''))))))(((&&&%%%$$$&&&((()))(((((()))*********+++++++++,,,,,,,,,++++++***************+++((((((((()))))))))(((((((((((((((((())))))))))))+++***)))))))))***,,,---,,,,,,+++++++++++++++++++++++++++,,,,,,,,,------...............---------***++++++,,,---,,,,,,,,,............///000111111111222333111000//////000/////////000000111222222///111333222111000111222000//////......//////000000000000000000000000000111000000111333333333222111222333555666777888888444555666777999:::;;;;;;;;;999777666666888:::;;;999999999999::::::;;;;;;888888999999:::<<<===>>>@@@@@@AAABBBCCCDDDEEEFFFIIIGGGGGGIIINNNRRRUUUVVVHHHHHHIIIIIIKKKLLLMMMNNNLLLLLLMMMMMMMMMLLLKKKJJJFFFFFFEEEEEEDDDDDDCCCCCCBBBAAA???>>>>>>@@@BBBDDDHHHGGGFFFGGGGGGHHHIIIIIIGGGGGGFFFFFFGGGIIIKKKMMMLLLJJJHHHGGGGGGIIIKKKLLLLLLKKKJJJJJJJJJJJJJJJIIIEEEGGGIIIGGGDDDCCCFFFIIIHHHHHHIIIIIIHHHGGGEEEDDDFFFGGGHHHHHHHHHFFFEEEDDDHHHGGGFFFEEECCCAAA????????????>>>>>>===>>>>>>>>>===>>>@@@AAA@@@???<<<;;;;;;<<<<<<<<<============>>>>>>>>>>>>>>>>>>>>>>>><<<;;;999666555444444444555555555555666777888999555555555555555555555666444333333333333333333333222222222111000000//////........./////////000000000000000000////////////000000000000000000000000222222444555666666666555999666111,,,(((&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&''''''%%%%%%&&&''''''&&&%%%%%%%%%%%%%%%&&&'''((((((""""""######$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&'''((((((&&&&&&%%%%%%%%%$$$$$$$$$'''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&''''''''''''######$$$$$$%%%&&&''''''&&&&&&%%%%%%%%%$$$$$$$$$######$$$%%%%%%&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%#####################$$$"""""""""###$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%#########$$$%%%&&&$$$$$$%%%&&&&&&&&&&&&&&&$$$%%%&&&%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%&&&&&&''''''&&&&&&%%%"""###$$$$$$%%%%%%%%%%%%######$$$$$$%%%%%%%%%%%%&&&&&&''''''''''''''''''''''''''''''&&&%%%$$$######$$$&&&'''''''''&&&%%%$$$%%%'''((()))((('''&&&$$$&&&((()))(((((()))***++++++++++++,,,,,,,,,,,,+++***************++++++***)))(((''''''((()))***''''''((((((((())))))))))))((('''''''''(((***+++,,,+++*********+++,,,,,,+++++++++,,,,,,,,,------///......---,,,++++++***++++++,,,------------,,,------------...///000111111222222111///...///000//////000000111111111111///111333222111000111222111000000//////000000111////////////////////////...------...000222111000111222333555666777777777444444555666888999:::;;;:::999777666666777888:::999999::::::;;;<<<<<<<<<888888888888999;;;<<<===??????@@@AAAAAABBBCCCCCCCCCBBBAAADDDIIINNNQQQRRRHHHHHHHHHHHHIIIJJJLLLLLLKKKLLLLLLLLLKKKIIIFFFEEEDDDDDDDDDCCCCCCBBBBBBBBB@@@???>>>>>>>>>???AAACCCEEEFFFFFFGGGHHHJJJMMMNNNHHHGGGFFFEEEFFFHHHJJJLLLJJJIIIHHHGGGFFFGGGIIIJJJHHHHHHIIIHHHGGGGGGGGGGGGDDDFFFGGGFFFCCCBBBEEEHHHHHHIIIJJJKKKJJJIIIGGGFFFFFFFFFHHHHHHHHHGGGFFFEEEFFFEEEDDDBBB@@@>>>===<<<;;;;;;:::::::::;;;<<<<<<===>>>@@@AAAAAA???===<<<999999999999999::::::::::::<<<>>>@@@@@@???===<<<===<<<:::888666555555555666666555555444555555555444444444444444555555555333333333333333333333333222222111111000/////////............////////////////////////000000000000////////////////////////222222222222222333333333555222...)))&&&$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$%%%%%%%%%%%%&&&%%%%%%&&&(((((('''%%%&&&&&&%%%%%%%%%&&&''''''&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''((((((&&&&&&%%%%%%%%%%%%$$$$$$((((((''''''&&&%%%%%%$$$&&&&&&&&&'''''''''((((((######$$$%%%%%%&&&''''''&&&&&&%%%%%%%%%%%%$$$$$$"""######$$$&&&''''''((($$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%""""""##################'''%%%######$$$$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%#########$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###"""###$$$%%%&&&&&&&&&%%%$$$$$$######$$$$$$%%%%%%######$$$%%%%%%%%%%%%%%%"""$$$%%%%%%$$$###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%###$$$%%%%%%%%%%%%%%%%%%"""######$$$$$$%%%%%%&&&$$$%%%&&&&&&''''''&&&&&&''''''''''''&&&%%%$$$$$$%%%&&&&&&'''''''''''''''%%%&&&&&&'''''''''''''''%%%&&&((()))((((((((()))******+++++++++,,,,,,,,,*********)))******+++,,,---,,,***(((((()))+++,,,(((((((((((())))))))))))(((''''''''''''((())))))++++++***))))))***,,,---++++++,,,,,,,,,,,,------...---,,,+++************+++,,,------......------++++++,,,,,,---...///000///111111111///...///000///000000111111111111000000222333333222111111222111111000000000000111111............////////////.........///222444333333222222333444555555555555222333444555777888999999888888777777777777777777999999999::::::;;;;;;;;;777888888888999;;;<<<======>>>>>>???@@@AAAAAAAAAAAA@@@@@@CCCGGGKKKMMMNNNEEEEEEEEEEEEEEEFFFGGGGGGJJJJJJKKKJJJHHHEEEBBB@@@@@@@@@@@@@@@@@@@@@??????>>>>>>>>>>>>>>>???@@@AAABBBDDDFFFGGGHHHJJJMMMPPPJJJHHHGGGEEEFFFGGGHHHJJJIIIHHHHHHGGGGGGGGGGGGGGGDDDEEEFFFEEEDDDCCCDDDEEEDDDEEEDDDCCCAAA@@@AAABBBFFFHHHIIIKKKKKKJJJIIIHHHDDDEEEEEEFFFFFFFFFFFFEEECCCBBB@@@>>><<<;;;::::::888888888888888999:::;;;<<<===>>>??????>>>===<<<777777777666777888888999888:::===@@@@@@???<<<:::<<<;;;999777666555555666777666555444333333333333444444444444444444444333111222222333333333333222111111000000///.........------........./////////////////////000000000000////////////////////////555444333222222333333444444111,,,(((%%%$$$%%%&&&'''''''''&&&%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%'''))))))'''%%%'''&&&%%%%%%%%%%%%%%%%%%''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$'''''''''''''''&&&&&&&&&%%%%%%&&&&&&&&&'''''''''$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&$$$%%%%%%&&&&&&&&&&&&&&&&&&###!!!!!!"""$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%"""#########$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%%%%%%%$$$###!!!"""###$$$%%%%%%%%%$$$"""###$$$%%%%%%%%%%%%%%%######$$$%%%%%%%%%%%%%%% ###&&&'''&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&'''&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$######$$$$$$%%%&&&&&&'''$$$%%%%%%&&&&&&%%%$$$###&&&&&&&&&'''&&&&&&%%%%%%&&&&&&&&&&&&&&&''''''((('''&&&&&&%%%&&&'''((()))&&&'''))))))(((''''''(((************++++++++++++******))))))***++++++,,,++++++++++++******))))))(((((()))))))))*********'''((())))))******))))))+++***)))((()))***,,,---++++++,,,,,,,,,,,,------++++++*********,,,---...,,,---......//////......*********+++,,,---...///...///111000//////000111000000111222111111//////111333444444222222222333000000////////////000000---------......////////////......000333555555555222222333333333333333222111222333444555777888888777777888888888777555555777777777888888888888888999999999999:::<<<===>>>=========>>>??????@@@@@@AAAAAAAAACCCGGGIIIIIIIIICCCCCCCCCBBBCCCCCCDDDDDDHHHHHHIIIIIIGGGDDDAAA???;;;;;;;;;;;;;;;<<<<<<<<<;;;<<<===??????????????????BBBEEEFFFFFFGGGIIILLLJJJIIIHHHFFFFFFFFFFFFGGGGGGGGGHHHHHHHHHGGGEEEEEEAAACCCDDDCCCAAA???AAABBBAAA@@@>>>???@@@AAAAAA@@@CCCDDDGGGJJJKKKJJJIIIHHHCCCBBBBBBBBBCCCDDDDDDEEEAAA@@@>>><<<:::999999999777777777777888999:::;;;:::::::::;;;;;;;;;;;;;;;888777777666777888999:::888:::;;;<<<===<<<;;;:::888777555333333333333444555444333333333333333444555444444444333222222222000000222333333333222222000000//////...------------------.........//////.../////////000000000111////////////////////////777666555333333444444555555222---)))'''&&&''')))))))))((('''&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%'''))))))'''&&&'''&&&%%%%%%$$$$$$$$$$$$ !!!"""$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%&&&&&&'''((((((((($$$$$$%%%%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&###$$$%%%%%%&&&&&&&&&%%%""""""%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%""""""######$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&&&&%%%$$$### !!!###$$$%%%%%%$$$$$$!!!###$$$%%%&&&%%%%%%$$$###$$$%%%%%%&&&&&&%%%%%% ###''')))((('''&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%&&&&&&'''((((((''''''&&&$$$######"""$$$%%%%%%&&&&&&%%%%%%$$$''''''''''''&&&&&&%%%$$$$$$$$$%%%&&&&&&'''((((((%%%&&&&&&&&&%%%###!!! %%%%%%&&&&&&'''&&&&&&&&&'''&&&%%%$$$%%%&&&'''(((((('''%%%$$$%%%&&&(((***&&&((())))))(((&&&'''((())))))*********+++++++++******))))))***+++,,,,,,'''(((***++++++)))&&&%%%))))))))))))************((()))+++,,,,,,,,,+++***+++***)))((()))***,,,---++++++,,,,,,,,,---------)))))))))***+++...000111---...//////000/////////)))))))))***+++,,,...///---///000000//////000222000111222222111000///...111333555444333222333444//////............//////---------.........//////*********,,,///111111111222222333333333222111111000111222333555666777777666777888999999777555333666666666555555555555555:::::::::;;;<<<===>>>???<<<<<<======>>>>>>??????=========???BBBCCCBBB@@@DDDDDDCCCCCCCCCCCCDDDDDDFFFGGGHHHIIIGGGEEEAAA???777777777888888999999999999;;;===???@@@@@@>>>======AAADDDEEEDDDDDDFFFHHHKKKJJJIIIGGGFFFEEEEEEEEEEEEFFFHHHIIIHHHGGGDDDCCC???AAACCCBBB???===???AAA<<<999888;;;@@@CCCCCCBBB@@@BBBEEEHHHJJJIIIHHHGGGBBBAAA@@@@@@@@@BBBCCCEEE@@@???===;;;:::999999:::777777777777888999;;;;;;999888888777777888999999999888777777777888:::;;;:::999999999999999::::::444333111000000000111111222222222222333444444555555555444333333222111111///000111222333222222111/////////...------,,,,,,---------.........//////.../////////000000111111////////////////////////444444555555555555444444000...+++(((&&&&&&&&&&&&''')))+++)))&&&%%%&&&(((((('''%%%$$$###$$$%%%%%%''''''''''''''''''''''''&&&''''''''''''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&(((''''''&&&%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&%%%$$$###"""%%%%%%%%%$$$$$$$$$######((('''&&&%%%%%%%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&''''''((('''&&&$$$###"""!!!!!!!!!"""$$$&&&'''$$$$$$%%%%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&'''&&&%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########""""""!!!!!!!!!!!!""""""$$$$$$%%%%%%%%%%%%$$$$$$$$$&&&''''''%%%$$$$$$$$$#########$$$$$$%%%%%%&&&###!!! """%%%'''&&&$$$%%%$$$$$$######$$$$$$%%%############$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%%%%%%%%%%$$$$$$#####################$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$######$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$)))((('''&&&&&&&&&&&&&&&'''&&&%%%%%%$$$$$$%%%%%%$$$%%%&&&'''&&&%%%$$$###&&&&&&''''''(((((())))))(((((((((((())))))))))))+++***+++---///...,,,))))))))))))***++++++,,,,,,++++++,,,+++***(((&&&%%%))))))))))))))))))))))))++++++************++++++'''''')))+++,,,,,,***(((***+++,,,---,,,+++***))))))***+++,,,------------...---------....../////////......---------......////////////////////////---///111222333222111000000000111000000///...---000000///...............000...---,,,,,,---...000444333222222111111222222111111222333333333222222111222444666666666666555666666777888888888888888:::888777555555666888999777777999:::<<<===>>>>>><<<<<<<<<<<<<<<;;;;;;;;;888888999;;;===@@@BBBCCCEEEDDDCCCBBBBBBBBBBBBBBBHHHHHHHHHFFFDDDAAA>>>===:::999888666666888999:::>>>??????@@@@@@@@@??????DDDEEEEEEDDDCCCCCCDDDFFFHHHFFFFFFGGGJJJJJJGGGDDDDDDCCCAAABBBDDDEEEEEEDDDBBBAAA???===<<<;;;;;;;;;===============>>>???@@@???AAACCCEEEFFFFFFEEEDDDDDDCCCBBBBBBAAAAAAAAAAAA>>><<<999888999888777555666555333222333444666888::::::999999888999999999555666777666666777999<<<777777777777777777777777555555444333333222111111000000000000000111111222666555444222000///------000000000000000000000000222111111000///.........222111000///...---------//////////////////...---000---******---000000///999999888777666444333222111000,,,)))''''''''''''%%%'''((('''%%%$$$%%%&&&'''&&&%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((((((''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&''''''''''''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%$$$$$$###%%%%%%%%%$$$$$$$$$######$$$$$$$$$%%%&&&&&&''''''$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&%%%$$$###"""######$$$$$$$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%$$$$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######$$$$$$###"""""""""""""""""""""############""""""$$$&&&&&&%%%$$$###$$$%%%$$$$$$$$$$$$$$$%%%%%%%%%$$$"""!!!"""%%%&&&%%%###%%%$$$$$$######$$$$$$%%%%%%$$$$$$$$$$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$######$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$(((((('''&&&&&&&&&&&&&&&&&&%%%$$$$$$######$$$$$$%%%%%%%%%&&&&&&%%%%%%$$$&&&&&&'''(((((())))))***(((((((((((()))))))))))))))***,,,...---,,,***((()))))))))))))))(((((((((((()))***+++******)))(((*********************************))))))*********(((((()))***++++++)))(((***+++,,,,,,,,,+++******((()))***+++,,,,,,,,,,,,,,,,,,+++++++++,,,---.........------,,,------...////////////////////////,,,---///000000000///...///000000000000//////...111111000///////////////000///---,,,,,,---///000222111111000000111111222111222333333444333333333333333555666777777777666777777888999999999999888999888777555555666888999888888999:::;;;===>>>???=========<<<<<<;;;;;;;;;888999999;;;===???AAABBBDDDCCCCCCCCCCCCCCCDDDDDDFFFFFFEEEDDDBBB???<<<;;;999888777666666888:::;;;===>>>???@@@@@@@@@@@@@@@AAABBBEEEGGGGGGFFFDDDCCCEEEDDDEEEHHHKKKLLLJJJHHHHHHFFFDDDCCCCCCDDDCCCAAAAAA@@@???>>>======<<<<<<;;;;;;;;;;;;;;;;;;<<<<<>><<<999888999888777666888777555555555666888999::::::999888777777777777888999999777666555777999777777777777777777777777555555444333222222111111111111111111111222222333555555444222111000///...000000000000000000000000/////////...---,,,,,,,,,///...---,,,,,,,,,,,,,,,------...////////////...---++++++,,,//////...,,,888888777666555333222111111///,,,)))'''&&&&&&&&&$$$%%%&&&%%%###"""###$$$&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''((((((''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&###$$$%%%&&&'''((()))***''''''''''''''''''''''''$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$$$$###### """%%%&&&'''''''''$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%&&&'''(((&&&&&&%%%$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$######""""""######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###%%%%%%$$$$$$############""""""############""""""%%%%%%%%%###"""!!!###%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$###"""###$$$%%%$$$###%%%$$$$$$######$$$$$$%%%&&&&&&%%%$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%''''''&&&&&&&&&&&&%%%%%%''''''&&&&&&%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$######$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$((('''&&&&&&&&&&&&&&&&&&'''&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%&&&&&&''''''(((((()))*********(((((((((((())))))))))))(((---111111...+++))))))))))))(((''''''&&&%%%%%%&&&'''(((***++++++++++++***************************))))))(((((())))))***************))))))))))))******++++++,,,++++++***((())))))***++++++++++++---,,,+++******,,,---///...------,,,------......////////////////////////......//////000/////////...//////000000000000///222111111000000000000111000000............000000////////////000111222222222333444444555555444444444444555666777777777777777777888999999999999888888777666666666777888999999999999999;;;===???@@@???>>>>>>===<<<;;;::::::888999999:::<<<>>>???@@@BBBBBBBBBBBBCCCDDDEEEEEECCCCCCCCCBBB@@@===;;;999777666666666777999:::<<<<<<===>>>???@@@AAAAAAAAA@@@BBBEEEJJJNNNLLLGGGAAABBBBBBDDDHHHLLLNNNMMMLLLKKKIIIFFFDDDCCCBBB@@@>>>@@@@@@@@@?????????>>>>>>;;;;;;;;;;;;::::::::::::===???AAACCCDDDDDDCCCCCCBBBBBBAAA@@@???>>>>>>???===;;;999888999999888777999999888777777999:::;;;:::999888777666555555555;;;;;;;;;888666444555666666666666666666666666666444444333333222222111111222111111111111222333333444444333222222111111000000000000000000000000000//////......---,,,,,,,,,------,,,,,,,,,,,,,,,---,,,,,,---...////////////,,,,,,---///111000---+++111222222333333222222111000...+++(((%%%%%%%%%%%%###$$$$$$$$$#########$$$&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&!!!""""""###$$$%%%&&&'''''''''''''''''''''''''''''''''&&&&&&&&&'''''''''%%%%%%%%%$$$$$$$$$######"""%%%&&&'''&&&%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%$$$###$$$%%%'''(((######$$$$$$%%%&&&'''(((######$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%###"""""""""###$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""######$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%$$$""" !!!###%%%&&&&&&&&&%%%%%%$$$$$$###%%%$$$$$$$$$$$$$$$$$$###%%%$$$$$$######$$$$$$%%%''''''&&&%%%$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&%%%%%%&&&&&&&&&(((((('''&&&&&&&&&&&&&&&'''&&&%%%$$$$$$%%%'''(((''''''(((((()))*********(((((((((((())))))))))))***000666555000,,,+++,,,(((((((((''''''&&&&&&&&&''''''((()))***++++++,,,++++++++++++++++++++++++))))))(((((((((((())))))+++++++++)))((('''(((************+++++++++++++++))))))***+++++++++++++++///...,,,+++,,,---000111.........---......//////////////////////////////111111111111111111111111---...///000000111000000111111000//////000000000111000////////////000111.../////////111222333444333444444555555555555555333444444555555666666666555666777777888777777777777777666666666777888888::::::999999:::<<<>>>@@@??????>>>===<<<::::::999999999999:::<<<===???@@@@@@@@@@@@AAAAAACCCDDDEEEAAAAAAAAA@@@???<<<:::999555555555666888:::;;;<<<;;;<<<>>>???AAAAAABBBBBBBBBBBBEEEKKKQQQPPPJJJDDD@@@AAADDDGGGJJJLLLLLLLLLKKKHHHFFFDDDCCCBBB@@@??????@@@@@@@@@@@@@@@@@@@@@===============<<<;;;;;;<<<===???@@@BBBBBBBBBBBBBBBAAA@@@>>>============<<<:::888888999999888777:::999999888999:::;;;;;;888888777666666666777777:::;;;;;;999666555555666555555555555555555555555333333333222222222222222111111000000111111222333222222222222222222222222000000000000000000000000000000000//////...............---------...//////,,,------.........---------...///000000000...---111111222222222222111111111///,,,)))'''&&&&&&'''%%%$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$''''''''''''''''''''''''((('''&&&%%%$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$###### ###%%%&&&%%%$$$###$$$$$$$$$%%%%%%%%%&&&&&&'''&&&%%%$$$###$$$%%%%%%"""###$$$%%%&&&'''''''''"""###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%######$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!###$$$%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$""" !!!###%%%'''&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%'''&&&%%%%%%$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&###$$$$$$%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%&&&&&&%%%$$$%%%&&&((()))'''''''''((())))))******(((((((((((())))))))))))+++000555444///++++++,,,'''''''''(((((()))))))))))))))))))))))))))******************************))))))(((((((((((())))))***++++++***''''''(((***)))))))))******+++++++++***+++,,,,,,,,,,,,,,,,,,///...---,,,,,,...///111//////......///000111111////////////////////////111111222222222222111111---...///000000111000000//////.........//////000000000////////////000000//////000111222333555666333444555555666666555555333222222333333333444444333333444555555555555555666666666666666777777888999999999999:::;;;===>>>???>>>===<<<;;;:::999888888999999:::<<<>>>@@@AAA????????????@@@AAABBBBBB@@@@@@AAA@@@???===;;;:::555555666777999;;;<<<===;;;<<<>>>???AAAAAABBBBBBCCCAAABBBFFFLLLNNNJJJEEEAAABBBEEEFFFGGGGGGGGGGGGGGGEEECCCBBBCCCCCCBBBAAA??????@@@AAAAAAAAAAAA@@@===>>>>>>>>>===<<<;;;;;;:::;;;<<<>>>???AAAAAABBBAAAAAA???>>>===<<<<<<<<<;;;999888888999:::999888888888888888999999::::::777777777777777888999:::777888999888666555666777333333333333333333333333111222222222222222222222///////////////000111111111111111222222333333333000000000000000000000000////////////..................---------......///------...------,,,++++++......---,,,,,,,,,---///777777666555444222111000444222///,,,***))))))***&&&$$$$$$$$$&&&'''&&&%%%$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&)))(((((('''&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&'''&&&$$$"""!!!!!!!!!"""%%%%%%%%%$$$$$$$$$######""""""$$$$$$%%%$$$###"""$$$$$$%%%%%%%%%%%%&&&&&&'''&&&%%%$$$$$$#########%%%%%%%%%%%%%%%$$$######"""###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%!!!###%%%&&&&&&%%%######$$$$$$$$$$$$######%%%%%%%%%###"""!!!###%%%&&&&&&&&&&&&%%%%%%%%%%%%###%%%&&&%%%$$$$$$%%%&&&%%%$$$$$$######$$$$$$%%%%%%%%%$$$#########$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&"""###$$$%%%%%%&&&&&&%%%######$$$$$$$$$$$$%%%%%%%%%%%%$$$#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%&&&&&&'''$$$$$$###""""""""""""###%%%%%%%%%%%%&&&'''((()))&&&&&&''''''((()))))))))(((((((((((())))))))))))))),,,//////,,,))))))***'''(((((()))******++++++,,,+++***)))(((((())))))))))))))))))))))))))))))***))))))(((((())))))***(((***,,,+++((('''(((+++)))))))))))))))***+++,,,+++,,,,,,---------,,,,,,,,,+++++++++,,,,,,------............///000111111////////////////////////...000111222222000...---...//////000000000000///...............//////000////////////////////////000000000111222444555666333444555555666666555555222222111111111222222333222222333444444444444333444555555666666777777777777888888999:::;;;;;;;;;===<<<<<<;;;:::999888888888888999;;;===???BBBCCCBBBAAA@@@@@@???????????????@@@@@@@@@???>>><<<;;;666666888999;;;<<<======<<<===>>>???@@@AAAAAAAAA???>>>>>>AAAEEEGGGFFFCCCBBBDDDFFFFFFEEECCCCCCDDDCCCAAA@@@AAABBBDDDDDDCCC>>>???AAAAAABBBAAA@@@???;;;<<<=========<<<;;;:::999999:::<<<>>>???@@@AAABBBAAA???>>>===<<<;;;;;;:::999777888999::::::999888888888999999999999999777777777777888999::::::444555777777666555666777222222222222222222222222000000111111222222333333///............///000000000000111111111222222222000000000000000000000000,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++++++++,,,,,,,,,------,,,,,,+++***,,,,,,+++)))'''(((***---777777777666555333111000333111...+++)))((())))))%%%$$$"""$$$&&&'''&&&$$$###$$$%%%&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&))))))(((((('''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&$$$"""""""""###$$$%%%%%%%%%$$$$$$$$$###############$$$$$$$$$$$$%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%$$$$$$######$$$%%%%%%%%%$$$###"""""""""###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$######$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%% """$$$%%%&&&%%%$$$$$$###$$$$$$%%%%%%$$$$$$###$$$&&&&&&%%%$$$###$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&"""$$$&&&&&&$$$$$$&&&(((%%%$$$$$$######$$$$$$%%%######"""""""""###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%""""""###%%%%%%&&&&&&%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''%%%%%%$$$############$$$$$$%%%&&&'''((((((((((((%%%%%%&&&&&&''''''(((((((((((((((((()))))))))))))))*********)))))))))))))))))))))))))))))))))***++++++)))((((((((()))***((((((((((((((((((((((((*********))))))*********%%%)))---,,,)))''')))+++)))((((((((()))***,,,---++++++,,,,,,,,,+++++++++***+++,,,---------,,,,,,,,,,,,,,,------...///000////////////////////////---///222444444111...+++///000000000000//////...//////......///000000111.........//////.........000000000000111222444444333333444555555555555444333333222111111222333333222222333444444444444333333444555666777777777777555666888:::::::::999888:::::::::999999888888888888888:::<<<>>>AAADDDEEEFFFEEECCCAAA@@@???>>>>>>>>>>>>?????????===<<<;;;777888999;;;<<<======>>>===>>>???@@@@@@@@@@@@@@@===>>>@@@BBBCCCDDDCCCBBBDDDFFFHHHGGGDDDBBBBBBCCC@@@???>>>???AAACCCDDDCCC>>>???AAAAAAAAA@@@>>>===:::<<<===>>>???>>><<<<<<888888999:::<<<>>>@@@AAABBBBBB@@@>>>===<<<;;;;;;:::888777888999;;;;;;:::888888999999:::::::::999999888777666666666666666222444666666555444444555111111111111111111111111///000000111222333333333///////////////000000111000000000000000000111111000000000000000000000000,,,,,,,,,,,,,,,,,,,,,,,,------,,,+++************))))))***,,,,,,---------+++,,,---,,,)))(((***,,,222333333444444333333222000...+++(((&&&&&&&&&&&&%%%###!!!###&&&'''&&&$$$"""###%%%&&&'''&&&%%%%%%''''''''''''''''''''''''&&&''''''((((((''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$((('''&&&%%%%%%'''(((***%%%%%%%%%$$$$$$$$$##################$$$%%%&&&'''$$$$$$%%%%%%%%%&&&&&&&&&!!!"""$$$%%%&&&&&&%%%$$$ """$$$%%%%%%%%%$$$!!!"""###$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%###"""!!!$$$$$$$$$$$$$$$$$$$$$$$$"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%$$$%%%&&&''''''%%%###"""%%%&&&&&&''''''&&&&&&%%%$$$&&&''''''%%%$$$$$$$$$%%%%%%%%%&&&&&&'''''''''!!!$$$&&&&&&$$$$$$&&&)))%%%$$$$$$$$$$$$$$$$$$%%%"""!!!!!!!!!"""###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!"""###$$$%%%&&&&&&&&&%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%&&&&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$%%%%%%&&&'''(((((('''&&&&&&&&&&&&'''###$$$&&&((())))))((('''$$$$$$%%%%%%&&&''''''((((((((((((((()))))))))))),,,***((((((***++++++************)))((((((''''''+++***)))(((((()))***+++((((((((((((((((((((((((++++++************++++++###(((------***((()))+++)))((((((((((((***,,,---******+++++++++******)))+++,,,...000000///...---+++******+++,,,---...//////////////////////////////111555777777444///,,,000000111000000///......000000///000000111222222------............------////////////000111222333222333444444555555444444555444333222222222333444222333444444555555444444333444555666777777777777333555888::::::999777666999999888888888888888888777888:::<<>>>>>======>>>>>>>>>===;;;:::999:::;;;<<<===>>>>>>>>>>>>??????@@@@@@@@@??????<<<@@@DDDFFFFFFDDDCCCCCCDDDGGGIIIHHHEEECCCCCCDDD???>>>===>>>AAABBBCCCBBB>>>???AAAAAAAAA???===<<<<<<>>>@@@AAABBBAAA@@@???777777888999;;;===???@@@CCCBBB@@@???===<<<<<<;;;999888777888:::;;;;;;:::888999::::::;;;;;;:::::::::999888666444333333222333444666666444333222222000000000000000000000000//////000111222333333444000000000000000111111222///////////////000000000000000000000000000000000........................000///...---,,,+++++++++%%%''')))+++---...///000+++///222111...,,,,,,---777666444333222222333444222111000---***'''%%%###&&&&&&''''''&&&&&&%%%%%%#########$$$$$$%%%%%%%%%'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$######$$$%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$""""""""""""""""""""""""%%%%%%$$$!!! $$$)))%%%%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$######""""""######$$$%%%$$$###"""!!!!!!!!!!!!%%%%%%%%%%%%$$$$$$###"""%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########$$$$$$$$$$$$######""""""&&&%%%%%%$$$#########$$$&&&%%%%%%$$$#########$$$%%%&&&'''''''''%%%"""!!!&&&%%%%%%$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$%%%'''))))))"""###$$$%%%&&&''''''''''''&&&&&&&&&&&&'''((((((((('''&&&%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&''''''''''''''''''''''''&&&%%%$$$$$$%%%(((***,,,((((((''''''&&&&&&&&&&&&((((((((((((((()))))))))((()))*********)))'''&&&)))))))))(((''''''&&&&&&***'''$$$""""""$$$''')))&&&''''''((((((((((((((()))************+++++++++((()))***,,,,,,+++*********)))((((((((()))+++,,,++++++,,,,,,,,,,,,------,,,,,,,,,,,,---.../////////......------///000111222777<<<;;;555000......111111111111000000//////,,,,,,+++***+++,,,---...........................000000000000000000000000222222111111000000//////000111111111222222222222222333444555555555444333666666666666666555555555888888777777777777777888999999999999::::::::::::;;;;;;<<<<<<===AAAFFFIIICCCEEEGGGGGGEEEBBB@@@@@@>>>===<<<;;;::::::;;;<<<999:::;;;<<<============>>>???@@@AAABBBCCCCCCCCCAAABBBCCCDDDDDDCCCBBBBBBDDDEEEFFFGGGFFFEEEBBBAAA@@@@@@???======<<<<<<<<<======>>>>>>>>>>>>>>>===:::<<<===?????????>>>===???===;;;:::;;;===@@@CCCAAA@@@>>><<<;;;;;;<<<===::::::;;;;;;<<<;;;;;;;;;999:::;;;;;;::::::<<<===???;;;777444444444444444555444333444555555333111111111111111000000000000000000000000111222333444111111222333333333333222///111444333000///111444111111000///////////////......---,,,++++++******))))))))))))***+++,,,,,,...------,,,,,,------...111000000...---,,,++++++777666555333222222222333222222000...,,,)))'''&&&((((((((('''&&&%%%$$$#########$$$$$$$$$%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$######$$$%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$""" !!!$$$'''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%$$$###"""!!!!!!!!!!!!$$$$$$%%%%%%%%%$$$######$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$#########"""&&&%%%$$$$$$######$$$$$$&&&%%%%%%$$$$$$###$$$$$$$$$%%%&&&''''''&&&%%%$$$&&&%%%$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""###$$$%%%%%%###$$$$$$%%%&&&&&&&&&&&&$$$############$$$%%%%%%((('''&&&%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&''''''''''''''''''''''''&&&%%%$$$$$$%%%'''***+++))))))((((((''''''''''''((((((((())))))))))))***)))))))))))))))((((((''''''''''''(((((((((((((((***)))'''%%%%%%''')))***''''''((())))))))))))((())))))*********+++++++++((()))******++++++*********)))((((((((()))+++,,,++++++,,,,,,,,,,,,------,,,,,,+++,,,,,,---...//////......---...///000111222777;;;:::555000//////111111000000000////////////...............//////........................////////////////////////111111111000000/////////000000111111111222222222333333555666666666555444555555555555666666666666888777777666666777777888555555555666777888999:::999::::::;;;<<>>===<<<;;;;;;;;;<<<===<<<<<<======>>>>>>======>>>???@@@AAABBBCCCCCCCCCBBBBBBCCCDDDDDDDDDCCCBBBCCCCCCDDDDDDDDDBBB@@@>>>@@@???>>>===<<<<<<<<<<<<:::;;;<<<===============<<<<<<===>>>????????????@@@???<<<;;;<<<>>>BBBDDDEEEBBB>>><<<<<<<<<<<<===:::;;;;;;<<<<<<<<<<<<<<<:::;;;;;;;;;:::::::::;;;:::777444333555777888888555444444555666666555333111111111111000000000000000//////000111222333333111111222333333333333222000111222111000000111222111000//////.........//////......---,,,,,,++++++++++++*********+++,,,,,,------,,,,,,,,,,,,------------------------------888777555444333222222222222222111///---,,,+++***++++++)))(((&&&$$$###"""$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%$$$""""""$$$%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%$$$###"""""""""""""""######$$$%%%%%%%%%$$$$$$#########""""""##################$$$$$$%%%%%%&&&%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$############%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%&&&&&&'''((((((%%%%%%$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######"""#########$$$$$$%%%&&&&&&%%%%%%%%%###""""""""""""###$$$$$$''''''&&&%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%''')))***)))))))))((((((((((((((((((((())))))******************)))(((((((((((()))&&&&&&''''''((())))))***)))((((((''''''((())))))'''((())))))******)))))))))))))))*********++++++)))((((((((())))))*********)))((((((((()))+++,,,++++++,,,,,,,,,,,,------+++++++++,,,,,,---...///......------......///000111555999888444000///000000000000000000//////////////////000000///........................------////////////////////////000000000000////////////000000000111111111111222333444555666666666555555444444444555666666666777777777666666666666777777444444333333555777:::;;;777888999999:::===BBBEEEJJJKKKJJJGGGCCC@@@???@@@>>>===<<<;;;<<<===>>>?????????@@@@@@@@@???>>>>>>>>>???@@@BBBCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDCCCCCCCCCCCCDDDCCCBBB@@@>>>===>>>>>>===<<<;;;;;;;;;;;;:::;;;<<<===>>>?????????=========>>>???@@@AAAAAAAAA???>>>======@@@BBBDDDHHHCCC===;;;<<<======<<<;;;<<<======>>>>>>>>>===;;;;;;;;;;;;;;;;;;;;;;;;999777444444555777888888333222222444666777666444222222222111111111000000////////////000111222222111111222333333333333222222111//////000111111000000///......---........./////////...------,,,,,,------,,,+++++++++,,,,,,---,,,,,,++++++,,,,,,---******+++,,,---......///777777666444333222111111222111000///...------,,,,,,+++***(((&&&%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%$$$$$$$$$$$$$$$#############################################%%%%%%$$$$$$$$$$$$%%%%%%$$$######""""""######$$$%%%$$$######"""""""""###"""###$$$$$$%%%%%%%%%%%%######""""""""""""######""""""###$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$###$$$$$$%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&'''((()))%%%%%%$$$$$$###$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%&&&&&&''''''&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&'''((()))((((((((((((''''''''''''(((((())))))******++++++,,,+++)))((((((((()))***''''''''''''(((((())))))%%%&&&&&&'''''''''''''''(((((()))***************))))))))))))************)))((('''''''''(((***+++***)))((((((((()))+++,,,+++++++++,,,,,,,,,------++++++++++++,,,---...///------------......//////000222555444222000//////111111111111111111111111---...///000///...---,,,//////............------//////////////////////////////////////////000000000000000111111111222222333333444444444555555555333333444444555666777777666666555555555666777777888777555444555777:::<<<777888999:::;;;===AAADDDHHHHHHGGGDDDAAA??????@@@>>>======<<<===>>>@@@AAABBBBBBBBBBBBAAA@@@???>>>>>>???@@@BBBCCCCCCDDDDDDDDDDDDDDDDDDDDDDDDCCCCCCEEEEEEEEEDDDCCCAAA???>>>======<<<;;;;;;;;;;;;;;;<<<===???@@@AAABBBCCCCCC>>>>>>======>>>@@@BBBCCC@@@???>>>===>>>@@@BBBDDDFFFAAA;;;999;;;>>>>>>===<<<===>>>>>>????????????<<<<<<;;;<<<===>>>>>>===>>>;;;777555555444333222111000000222555666555444333333333222111111000000///////////////000111111111111222333333333333222444000---...000222000...///......---------......000/////////.........---///...---,,,,,,,,,,,,,,,,,,,,,++++++++++++,,,,,,))))))***+++,,,------...666666666555444222111111111000///...------......++++++)))((('''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&%%%$$$###########################$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$######""""""######$$$%%%$$$##################"""###$$$$$$%%%%%%%%%%%%######""""""""""""######""""""###$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$###$$$$$$%%%%%%$$$%%%%%%&&&&&&&&&%%%$$$'''&&&%%%%%%%%%%%%&&&'''%%%$$$$$$###$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&''''''%%%%%%&&&&&&&&&%%%$$$$$$&&&&&&&&&&&&&&&'''((((((&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&'''(((((()))******++++++,,,+++)))((((((((()))***))))))((((((''''''''''''%%%%%%'''(((((((((''''''(((((()))***************(((((()))))))))*********)))((('''''''''(((***+++***)))((((((((()))+++,,,+++++++++,,,,,,,,,------++++++++++++,,,---......,,,------..................///000000////////////222222222222222222222222...///000111000///...---000000000//////.......................................//////000000111111111111111111222222222222111111111222222222333333222333333444555666666777555555444444555666666777;;;999666555444666888:::888:::;;;<<<<<<>>>BBBDDDEEEEEEEEEDDDBBBAAACCCDDD???>>>>>>===>>>???AAABBBCCCCCCCCCCCCBBB@@@???>>>???@@@AAABBBCCCDDDDDDDDDEEEEEEDDDCCCCCCCCCCCCCCCDDDDDDCCCBBBAAA@@@???>>>===<<<<<<;;;;;;;;;;;;<<<===>>>???AAABBBCCCCCCCCC>>>>>>======>>>@@@BBBDDD???>>>=========???AAABBBBBB>>>:::999;;;>>>???>>><<<===>>>???@@@@@@@@@@@@===;;;;;;===@@@BBBBBB@@@???<<<999666555333111000222111222444777888777666444444444333222111111000//////////////////000111111111222333333333333222444000---,,,///000///.........------------...///000///////////////......//////...---,,,,,,,,,,,,---,,,,,,++++++,,,,,,---++++++++++++++++++++++++555555555555444333222222222111///...---......///,,,+++)))((('''''''''(((&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$%%%&&&&&&%%%###$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$############$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%$$$$$$#########$$$$$$######$$$%%%%%%%%%$$$$$$#########""""""##################$$$$$$%%%%%%&&&###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%###$$$&&&''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""###$$$%%%&&&$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&'''((()))******+++++++++***))))))))))))******))))))(((''''''&&&&&&'''((()))***************'''((())))))******))))))((((((((()))))))))******)))((((((((())))))*********)))((((((((()))+++,,,++++++,,,,,,,,,,,,------*********++++++,,,---...,,,,,,---............---------.........//////000111111111222222222222333000111222222333333333222222222111111000000//////...........................//////000111222222333222222222333333333333444111111000000000111222333333333333444555555555666444444444444444555666777:::888666444444444555666999;;;======>>>???BBBDDDDDDFFFGGGGGGGGGGGGHHHJJJAAA@@@???>>>???@@@AAABBBCCCCCCCCCBBBAAA@@@???>>>???@@@AAABBBDDDDDDDDDDDDEEEDDDCCCBBBBBBAAABBBBBB@@@@@@??????>>>>>>============<<<<<<<<<<<<<<<===;;;<<<===>>>???@@@@@@@@@<<<<<<===>>>???@@@BBBCCC>>>>>>======>>>???AAABBB???>>>===<<<;;;<<<>>>???<<<===>>>???@@@AAAAAAAAA>>><<<;;;===AAACCCBBB@@@;;;999777666666666444333555444555777999::::::999666555444444333222111111000000000//////000000111111111222333333333333222333000...,,,---..................---......///000//////////////////............---,,,,,,,,,------...------,,,,,,------...,,,,,,,,,++++++*********333444444555555444333333444333111///...///000000///---+++(((&&&&&&&&&'''''''''&&&&&&&&&%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%'''%%%###$$$&&&'''%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$############$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$######$$$$$$%%%$$$$$$%%%%%%%%%$$$######$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$######$$$$$$%%%&&&###$$$&&&'''((('''&&&%%%!!!"""$$$%%%%%%%%%%%%$$$$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######"""######$$$$$$###$$$$$$%%%&&&&&&&&&&&&$$$$$$######$$$$$$%%%&&&%%%%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''$$$%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&'''((()))*********++++++++++++***))))))((((((((((((((('''''''''((((((((()))******++++++''''''((())))))))))))((((((((((((((()))))))))***((()))******++++++*********)))((((((((()))+++,,,++++++,,,,,,,,,,,,------************+++,,,---...+++,,,---.........------///...------///111222222//////000000000111111111111111111222333444555666444444333222222111111000........................//////000111222333444444333333444444444444555555222111000000000111333333444444444444444444444444333333333333444555666777888888777666666666777777999;;;===>>>>>>???AAACCCDDDFFFIIIJJJIIIIIIIIIJJJBBBBBB@@@??????@@@AAAAAAAAAAAAAAAAAA@@@??????>>>???@@@AAACCCDDDDDDEEEEEEEEEDDDBBBAAA@@@@@@@@@AAA>>>>>>>>>=========>>>>>>>>>======<<<<<<======>>><<<<<<===>>>??????>>>>>>:::;;;<<<>>>???@@@AAAAAA??????>>>??????@@@BBBBBB@@@BBBDDDAAA===;;;<<>>>>>???AAACCCBBBEEEHHHJJJIIIHHHGGGHHHDDDCCCAAA@@@???@@@@@@AAA??????@@@@@@@@@???>>>>>>@@@@@@BBBCCCDDDEEEEEEEEEDDDCCCBBB@@@??????@@@@@@???????????????@@@@@@AAA>>>>>>=========>>>>>>???>>>??????@@@@@@@@@??????888:::<<<>>>@@@@@@@@@@@@@@@@@@@@@@@@AAABBBCCCCCCBBBFFFIIIFFF>>>:::;;;???;;;<<<===>>>@@@@@@@@@AAABBB>>>:::;;;>>>???;;;888999777666666777777666444333222222333555666555444777666666444333222111111222222111111111111111222111111222333333333333222000111000---))))))---111///////////////000111111---------...............++++++++++++,,,,,,---...//////............//////,,,,,,,,,,,,,,,,,,,,,,,,666444222444666666222...444555555333000.........333111...+++((('''&&&&&&###$$$$$$%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$$$$$$$%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&########################$$$$$$$$$$$$$$$$$$$$$$$$""""""#########$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%(((&&&%%%###""""""#########$$$%%%%%%&&&&&&&&&%%%$$$$$$######"""!!!!!!!!!$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&%%%%%%&&&&&&'''########################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$######%%%&&&$$$###'''(((((('''%%%###$$$%%%%%%$$$$$$######$$$$$$%%%$$$$$$%%%%%%%%%%%%&&&&&&###$$$%%%%%%$$$###$$$&&&***)))'''&&&&&&''')))***#########$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&%%%######&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((((((((((((((($$$%%%&&&'''(((***++++++)))))))))'''%%%%%%''')))'''(((***---///---)))&&&((((((((('''&&&&&&%%%%%%'''''''''''''''((()))***(((((((((((('''&&&$$$$$$))))))((('''''''''''''''******++++++++++++*********,,,---+++((((((***---+++---......------///000++++++++++++++++++++++++......---,,,,,,,,,------000000000000111111111111111111111111000000//////222222333444555555555555444555555555444333333222000000///...............////////////000000000000333444555555666666555555000111222444444333222111555444222111111222333333222222222333555666888999444555777:::<<<===>>>>>><<<<<<======>>>???AAAAAABBBDDDHHHIIIIIIHHHHHHIIIFFFCCC??????AAAAAA@@@>>>>>>===>>>@@@BBBCCCAAA???<<<===>>>@@@BBBCCCEEEEEECCCBBB@@@???>>>>>>???@@@BBBBBBAAA@@@???>>><<<;;;<<<===???@@@AAA@@@@@@???BBB@@@??????@@@AAA???>>><<<===>>>@@@AAACCCDDDEEEFFFCCC@@@???BBBDDDDDDCCCEEEHHHJJJHHHCCC???======<<<<<<>>>???@@@AAAAAAAAADDDBBB???<<<;;;;;;===>>>:::::::::999888777666555444444555555555555555444999666333222333333333222111111111000000000000000111222222333333222222111////////////............///............------------------------...///000,,,,,,,,,,,,,,,,,,,,,,,,......---------,,,,,,,,,...---,,,++++++,,,---...:::::::::999777555444444000222333222111000111222222111///---***)))''''''%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$&&&%%%%%%%%%%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$$$$$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$""""""!!!""""""######$$$$$$%%%$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$###$$$$$$$$$$$$$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$&&&'''&&&$$$###%%%'''&&&''''''&&&$$$"""###$$$%%%$$$$$$######$$$$$$%%%#########$$$$$$$$$%%%%%%###%%%&&&%%%######$$$%%%&&&%%%###""""""###%%%&&&$$$$$$$$$$$$%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%&&&'''((()))******'''(((((('''&&&&&&(((***))))))***,,,---,,,)))&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&'''((()))***)))((((((''''''&&&&&&&&&***)))((((((''''''((((((******++++++++++++******&&&'''((('''&&&&&&''')))***+++,,,,,,+++***+++---))))))))))))))))))))))))------------------------000000000000111111111111222222111111111000000000111222333444444555555444555555555555555444333222111000//////......///////////////000000000111111222333333444444444444444111222333333444444444444777666555444444444444444555555444555555666777888666777888:::<<<===>>>>>>??????????????????@@@@@@AAADDDGGGHHHGGGFFFGGGGGGEEEBBB???>>>???@@@???>>>??????@@@BBBDDDEEECCCBBB???@@@@@@AAABBBCCCDDDDDDBBBBBBAAA@@@??????@@@@@@@@@@@@AAAAAA@@@@@@??????===>>>???AAABBBBBBAAAAAADDDBBBAAAAAABBBCCCAAA@@@BBBCCCDDDEEEGGGHHHIIIIIIGGGDDDAAAAAACCCDDDDDDDDDFFFHHHIIIHHHCCC@@@>>>>>>;;;<<<===???@@@AAAAAABBBCCCBBB@@@>>>=========>>>:::::::::999888777555444333444444555666666666555888555333222333444444333111111111111000000000000111222222333333222222111////////////............,,,---------......//////...------------......///,,,,,,,,,,,,,,,,,,,,,,,,------------,,,,,,,,,,,,+++******))))))******+++888:::;;;888333000222555000111222222111000111222222111111///---+++)))(((&&&'''''''''&&&%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&######$$$$$$%%%%%%&&&&&&'''&&&&&&&&&%%%%%%$$$$$$&&&&&&%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###"""!!!!!!!!!!!!######$$$$$$$$$######"""######$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$%%%&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""'''***((($$$"""%%%***$$$%%%&&&%%%###!!!"""###%%%$$$$$$######$$$$$$%%%""""""#########$$$$$$$$$%%%&&&&&&%%%###"""###$$$$$$###"""!!!!!!"""###$$$&&&&&&&&&&&&%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&'''''''''((('''&&&&&&&&&'''((()))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((((((%%%&&&''''''&&&''')))++++++***)))***+++***(((&&&$$$%%%%%%&&&''''''((((((%%%%%%%%%&&&&&&((())))))***)))((('''''''''((()))******)))((((((((())))))******++++++++++++******)))'''&&&''')))************,,,,,,,,,***)))***+++************************,,,---......///...---,,,000000000000111111111111222222222111111111111111000111222333444444444444555555555555555555444333111111000////////////000000000000000111111111222111222222333444333333333333333333333444555777888999999999999888777666555888777777666666666777777999999:::;;;<<<===>>>>>>BBBAAAAAAAAA@@@@@@@@@???AAACCCEEEFFFEEEEEEEEEEEECCCAAA???>>>?????????>>>AAAAAABBBDDDGGGGGGFFFDDDBBBBBBCCCCCCCCCCCCCCCCCCBBBBBBBBBBBBBBBBBBAAAAAA???@@@AAABBBBBBBBBBBBBBB@@@AAABBBDDDEEEFFFFFFFFFGGGEEEDDDDDDEEEEEEDDDCCCDDDEEEFFFGGGGGGHHHHHHHHHGGGEEECCCBBBDDDEEEEEEEEEGGGHHHHHHGGGCCCAAA??????;;;<<<>>>???AAABBBBBBCCCBBBBBBAAA@@@???>>>>>>>>><<<<<<;;;:::888777555444222333444555666777777777666555333333444555555444222222111111111000000000111111222222222222111111/////////............---++++++,,,---...///000000.........---------------,,,,,,,,,,,,,,,,,,,,,,,,---------,,,,,,,,,++++++)))******************)))666777666444111000222444333444444222000...//////111111222111000---+++)))(((((((((((('''&&&%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&######$$$$$$%%%&&&''''''(((''''''&&&&&&%%%%%%$$$&&&&&&%%%%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######""""""""""""$$$$$$$$$$$$$$$######"""%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&&&&&&&&&&''''''$$$%%%'''(((((('''%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&###&&&)))'''$$$###%%%((($$$%%%&&&%%%###"""###$$$%%%$$$$$$######$$$$$$%%%############$$$$$$$$$$$$%%%&&&'''%%%###""""""###%%%%%%$$$$$$$$$$$$%%%%%%'''''''''&&&&&&%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''(((((('''&&&%%%$$$%%%&&&)))***&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''###%%%&&&''''''''')))+++---+++)))((())))))'''&&&%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%&&&((())))))***)))'''&&&'''(((***+++******))))))))))))************++++++++++++*********'''%%%'''***---,,,***...///000...---,,,,,,---,,,,,,,,,,,,,,,,,,,,,,,,+++,,,...000000///---,,,///000000000111111111111222222222222111111111111000000111222333333333333555555666666666555555444222222111000000000000111111111111111222222222222222333333444444444444444666555333333444777:::<<<;;;;;;<<<<<<;;;999777666888888777777777888999999;;;;;;<<<<<<<<<===>>>>>>AAABBBBBBBBBBBBBBBAAAAAABBBDDDFFFFFFEEEDDDDDDEEECCCBBB@@@?????????@@@@@@CCCCCCCCCFFFHHHIIIHHHFFFBBBCCCCCCCCCCCCDDDDDDDDDBBBCCCDDDEEEEEEDDDCCCBBB@@@AAABBBCCCCCCDDDCCCCCCDDDDDDFFFGGGIIIJJJKKKLLLIIIHHHFFFGGGHHHHHHGGGEEEDDDEEEFFFGGGGGGGGGFFFFFFGGGFFFDDDDDDEEEEEEFFFFFFHHHHHHGGGEEECCCAAAAAAAAA======???AAABBBCCCDDDDDDAAAAAABBBBBBAAA???>>>=========<<<;;;:::888666555222333444555777777888888555444333444555666555444333222222111111000000000111111222222222222111111//////.........---------++++++,,,------...//////............---,,,,,,+++++++++++++++++++++++++++,,,,,,,,,,,,++++++++++++***+++,,,------,,,+++***777444222222444666666555333333444222000//////000111111222111000---+++)))'''(((((((((''''''&&&%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&######$$$%%%&&&&&&'''''''''''''''&&&&&&%%%%%%%%%'''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%%%%%%%%%%$$$$$$'''''''''&&&%%%$$$######$$$$$$$$$$$$$$$$$$$$$$$$((((((''''''''''''((((((%%%&&&''''''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$###&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%%%%$$$$$$%%%&&&%%%$$$###$$$%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$%%%%%%%%%%%%&&&%%%&&&'''%%%###""""""###&&&&&&%%%%%%%%%%%%&&&&&&'''''''''&&&&&&%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''((((((&&&%%%$$$######%%%''')))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&"""$$$&&&''''''''')))+++---***(((''''''((('''&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&'''((()))******)))'''&&&'''(((***+++******))))))))))))************++++++++++++******&&&$$$"""###'''))))))'''///000000///---,,,---...,,,,,,,,,,,,,,,,,,,,,,,,+++,,,...000000///...---///000000000111111111111111111111111111111111111000000111222333333333333555555666777777666666666333333222111111111111222222222222222333333333333444555666666777777666666777666444333555888;;;===;;;<<<<<<===<<<:::888777777777777777999:::;;;<<<===<<<<<<<<<<<<===>>>??????@@@BBBCCCDDDDDDDDDCCCDDDEEEFFFFFFDDDCCCDDDEEECCCCCCBBBAAA@@@@@@BBBCCCDDDCCCDDDFFFHHHHHHGGGEEE@@@@@@AAABBBCCCDDDEEEEEEBBBCCCDDDFFFFFFFFFEEEDDDBBBCCCCCCDDDDDDDDDCCCCCCDDDDDDEEEFFFHHHIIIKKKLLLJJJHHHGGGGGGHHHIIIGGGFFFGGGHHHIIIJJJJJJIIIHHHGGGFFFFFFFFFFFFEEEEEEFFFFFFHHHFFFDDDCCCBBBBBBAAAAAA>>>???@@@BBBCCCCCCDDDDDD??????@@@AAA@@@???===<<<>>>>>>===<<<;;;999777666222333444666777888888888555444444444666777555444333333333222111000000///000111111222222111111000............---------------------------------,,,------......---,,,+++***++++++++++++++++++++++++,,,,,,+++++++++***************,,,------,,,******222...,,,...222555444111///000222222111111222444222111111///---+++)))(((&&&&&&'''''''''''''''&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&''''''%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%$$$###"""!!!&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$###$$$$$$%%%&&&&&&&&&&&&&&&''''''&&&%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&$$$"""###%%%&&&$$$"""$$$%%%&&&%%%$$$###$$$&&&%%%$$$$$$######$$$$$$%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%&&&&&&%%%###"""###$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&'''''''''&&&%%%$$$###$$$%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&!!!$$$&&&'''''''''((()))+++)))'''&&&'''((('''&&&''''''&&&&&&%%%$$$$$$###%%%%%%&&&&&&((()))+++,,,***)))((('''''''''((()))))))))((((((((()))************++++++++++++******((('''&&&&&&((()))))))))+++---------+++***+++,,,+++++++++++++++++++++++++++,,,...///000000//////000000000000111111111111000000000000000111111111000111222333444444444444555666666777777777777777444444333222222222222333333333333333444444444444666777888888999888888888888777555444555888;;;===:::::::::::::::999999888666666666777999;;;<<<======<<<;;;;;;<<<===>>>???>>>???AAACCCDDDEEEDDDDDDEEEFFFFFFEEECCCCCCCCCDDDCCCCCCCCCBBB@@@AAACCCEEEDDDCCCCCCEEEFFFFFFDDDBBB>>>>>>???@@@AAACCCCCCDDD@@@AAABBBCCCDDDDDDDDDDDDBBBCCCCCCDDDDDDDDDCCCCCCAAAAAABBBBBBDDDEEEGGGHHHIIIGGGFFFFFFGGGGGGFFFEEECCCEEEGGGHHHHHHGGGFFFDDDDDDFFFGGGFFFEEEDDDEEEFFFHHHEEEAAA@@@@@@AAABBBAAA???@@@@@@AAAAAAAAAAAAAAA======>>>>>>>>>===;;;:::;;;;;;;;;;;;:::888777666333444555666777888888888666555555555777777555333444444333222111000000///000000111111111111000000.........------------,,,------------,,,,,,++++++,,,,,,---......---+++***+++++++++++++++++++++++++++++++++*********))))))((())))))))))))))))))(((,,,,,,,,,---/////////......000111222111111333444222111///---***)))''''''$$$%%%&&&'''''''''''''''$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&######$$$$$$%%%%%%&&&&&&((('''&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%$$$###!!! %%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!"""""""""#################################"""###$$$%%%%%%$$$###"""!!!"""###$$$%%%&&&&&&&&&######$$$$$$%%%%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$'''&&&%%%$$$$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%$$$$$$%%%%%%"""$$$%%%$$$###"""###%%%%%%$$$$$$######$$$$$$%%%###$$$$$$$$$%%%%%%%%%%%%###%%%&&&%%%######$$$%%%$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&"""$$$&&&''''''''''''(((((('''&&&'''(((((('''&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''')))+++,,,---)))((((((''''''&&&&&&&&&((((((''''''(((((()))*********++++++++++++*********+++++++++******+++---(((***++++++))))))***,,,++++++++++++++++++++++++---------...///000000000000000000000111111111111....../////////000000000111222333444444555555444555666777888888888888777555444444333333333333333333444444444555555555555777777888999999999999999888777666555666777999:::888777777777777888888999777777777777888999;;;;;;<<<;;;::::::;;;===???@@@???@@@BBBDDDDDDDDDBBBAAAEEEEEEEEEDDDBBBAAAAAACCCBBBCCCCCCBBB@@@@@@BBBEEECCCBBBBBBBBBCCCBBB@@@===>>>>>>>>>>>>??????@@@@@@=========>>>???AAABBBCCC@@@AAABBBCCCDDDEEEEEEEEEBBBAAAAAAAAABBBCCCEEEFFFGGGEEEDDDDDDEEEEEEDDDCCC???AAACCCEEEFFFEEECCCBBBCCCEEEGGGFFFDDDCCCDDDFFFGGGCCC???===???AAAAAAAAA>>>>>>??????>>>>>>===<<<;;;;;;;;;;;;;;;::::::999777777888888777777666555555555666777777777777777777666666666777666444222555444444333111000000///000000111111111111000000.........---------,,,,,,,,,,,,,,,,,,,,,,,,------***+++---......---,,,+++************************+++*********))))))))))))))))))(((((((((((())))))---111444444000...///111222333333222000///000111333111...+++((('''&&&&&&######%%%&&&'''((((((((($$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''########################&&&&&&&&&&&&&&&&&&%%%%%%!!!"""###$$$%%%&&&&&&'''((('''&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%$$$###!!! $$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!!!!!!!""""""""""""########################!!!"""###$$$$$$###"""!!! """###%%%%%%&&&&&& """###%%%&&&(((((($$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$%%%(((&&&$$$""""""$$$&&&(((%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$###'''***((($$$"""%%%)))!!!"""######"""!!!"""$$$%%%$$$$$$$$$$$$$$$$$$%%%"""############$$$$$$$$$###$$$%%%%%%$$$###$$$&&&%%%&&&&&&''''''&&&&&&%%%#########$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%'''((((((((('''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((%%%%%%%%%&&&&&&&&&''''''"""$$$'''((('''&&&&&&''''''&&&&&&'''((()))'''%%%###$$$$$$%%%%%%&&&&&&'''&&&''''''(((***+++---...(((((((((((('''&&&$$$$$$'''''''''''''''((())))))******++++++++++++******'''***+++)))&&&%%%(((+++((()))++++++******+++---------------------------------------...///111222000000000000111111111111---.........//////000000222222333444555555555555666666777888888888888888555555444333333333333444444444444555555555555666777777888999999999999999888777777666666777888999666555555444555777888999999888888777888888999999;;;:::999999:::<<>>AAAEEEBBBAAAAAAAAAAAA@@@===;;;>>>>>>>>>>>>======<<<<<<;;;:::::::::<<<>>>@@@AAA===>>>@@@BBBDDDFFFGGGGGGDDDDDDCCCCCCCCCDDDFFFGGGEEEDDDCCCCCCDDDDDDCCCAAABBBDDDFFFIIIIIIHHHGGGEEEBBBEEEGGGFFFDDDCCCDDDFFFFFFBBB===<<<>>>@@@AAAAAA============<<<;;;:::999:::999999999999999999999444444555555555555444444555666777777777777777666888777666777777666333111555555444333222000000///000000111111111111000000......---------,,,,,,,,,******+++,,,------...///)))***,,,.........,,,+++************************************)))))))))))),,,+++***))))))***+++,,,---...///000111222222222333222222222222333444444555333///+++)))))))))***(((((('''&&&&&&&&&&&&'''######$$$$$$$$$$$$######'''&&&$$$######$$$&&&'''***&&&"""!!!$$$&&&'''&&&%%%&&&&&&%%%$$$$$$%%%'''%%%$$$###""""""$$$&&&'''&&&&&&%%%$$$%%%&&&'''((('''''''''&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&%%%$$$$$$&&&%%%%%%$$$#########$$$&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$$$$$$$###%%%$$$###$$$$$$$$$""" !!!###$$$$$$$$$"""!!!""""""""""""###$$$%%%&&&!!!"""$$$&&&&&&&&&$$$###%%%$$$#########$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''((())))))'''&&&&&&'''((('''%%%"""######$$$$$$$$$$$$######&&&&&&$$$$$$$$$$$$&&&&&&########################$$$$$$######$$$$$$%%%&&&#########$$$$$$%%%&&&&&&######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%########################'''%%%###!!!!!!###%%%'''&&&&&&&&&%%%%%%$$$$$$$$$''''''''''''''''''''''''$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%$$$$$$%%%&&&$$$###$$$%%%%%%&&&&&&'''''''''(((((('''''''''&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&&&&'''''''''###$$$$$$$$$%%%%%%&&&&&&(((((('''&&&&&&&&&&&&&&&%%%%%%&&&&&&'''((((((((('''''''''''''''((())))))(((((((((((())))))))))))))))))*********))))))(((''''''(((((())))))*********++++++,,,,,,++++++***------------............,,,------...///000000111000000000000000000000000222111000.........///000333333333333333333333333777666666666777888:::;;;666555444333222333444444222222333444444555555666666666666666666666555555666666666666666666666666666777777777777666555555999999999999999999999999<<<<<<<<<<<<============BBBBBBBBBCCCCCCCCCDDDDDDEEEDDDDDDBBBAAA@@@??????BBBBBBBBBBBBBBBBBBBBBBBB@@@@@@@@@?????????>>>>>>DDDDDDBBBAAA???===<<<;;;>>>======<<<<<<===>>>???AAABBBEEEHHHIIIIIIIIIHHHGGGFFFFFFFFFFFFFFFFFFFFFCCCCCCBBBAAAAAAAAAAAAAAABBBBBBBBBBBBBBBCCCDDDEEEEEEDDDCCCCCCCCCEEEFFFGGGDDDCCC@@@>>>============:::::::::::::::;;;<<<===;;;999888888888888777555333444444555555444333333333333333333333333333333444444444444444444444444444444555333111///000111111222222222222111000000111000...---,,,,,,------++++++,,,,,,,,,,,,------+++,,,,,,,,,,,,+++******+++++++++++++++***)))))),,,,,,++++++******))))))************************,,,---///111222333444444111111111111111222333333111///---***(((((((((((((((((('''&&&&&&&&&&&&'''$$$$$$%%%%%%%%%%%%$$$$$$&&&&&&%%%$$$$$$$$$%%%&&&&&&###"""###%%%%%%$$$"""$$$%%%%%%$$$######$$$&&&%%%$$$###"""###$$$&&&'''&&&&&&%%%%%%%%%&&&'''(((''''''&&&&&&&&&%%%%%%%%%###$$$%%%&&&&&&&&&&&&&&&&&&%%%%%%$$$######$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$############""""""""""""$$$###"""###$$$$$$"""!!!"""###%%%&&&'''&&&%%%$$$######"""""""""""""""###"""###$$$%%%&&&%%%$$$$$$%%%$$$#########$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&''''''(((((('''&&&&&&'''((('''%%%#########$$$$$$$$$$$$######&&&%%%%%%$$$$$$%%%%%%&&&########################$$$$$$$$$$$$$$$%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&+++)))'''&&&&&&%%%###!!!&&&&&&%%%%%%%%%&&&&&&'''((('''''''''&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&&&&&&&''''''***************)))))))))((('''&&&&&&%%%%%%%%%&&&%%%%%%&&&&&&'''((((((((('''''''''''''''((())))))''''''''''''((((((((((((&&&'''((())))))***))))))))))))))))))(((((((((((()))******+++,,,,,,++++++------------..................///000000111222222111111111111111111111111222111000/////////000000111222222222333333444444333333333333333555666777666555444333222333333444222222222333444444555555555555555555555555555555555555555555555555555555666666777888999999888888999999888888888888999999<<<<<<<<<<<<<<<=========AAAAAAAAABBBBBBBBBCCCCCCCCCBBBBBBAAA@@@???>>>>>>AAAAAAAAAAAAAAAAAAAAAAAA@@@@@@@@@?????????>>>>>>HHHHHHFFFDDDBBB@@@>>>>>>======<<<;;;;;;<<<>>>??????AAACCCEEEFFFFFFEEEEEECCCCCCDDDDDDEEEFFFFFFGGGBBBBBBAAA@@@@@@AAAAAAAAA@@@@@@@@@@@@AAABBBCCCCCCBBBAAAAAAAAABBBCCCEEEFFFBBBAAA@@@>>>===<<<;;;;;;===<<<;;;::::::::::::;;;:::999777777888888666555333333333333333333333333333333333333333333333333333333333333333333333333111222333333111000111222222222222222222111000000000///---,,,+++++++++,,,*********+++++++++,,,,,,+++,,,,,,,,,++++++*********************))))))((()))))))))))))))(((((((((************************)))+++---///111222333444222111000000000000000111,,,+++***)))((('''''''''(((((('''&&&&&&&&&&&&'''%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########%%%&&&&&&###!!!$$$%%%&&&%%%######%%%&&&%%%$$$#########$$$&&&'''&&&%%%%%%%%%%%%&&&'''((('''&&&&&&&&&&&&%%%%%%%%%"""###$$$%%%'''''''''(((&&&%%%%%%$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$#########""""""""""""###!!!!!!"""###$$$###""" !!!"""###$$$###"""!!!$$$$$$###!!!!!! ###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&'''''''''&&&%%%&&&''''''%%%#########$$$$$$$$$$$$######$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&'''&&&&&&&&&%%%$$$###############$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$&&&''''''&&&$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%)))((((((''''''&&&%%%%%%***(((&&&&&&&&&%%%###"""((('''%%%$$$###$$$&&&'''''''''''''''&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&&&&&&&&&&'''))))))(((((('''&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&%%%%%%&&&&&&'''((((((((('''''''''''''''((())))))&&&&&&&&&'''''''''((((((%%%%%%'''((()))***************))))))((('''''''''((()))***+++,,,---------------......////////////000000111111222222333333222222222222222222222222111111000/////////000000000000111111222333444444222222222222222333444555555444333333222222333333000111111222333333444444333444444444555444444444555555555555555555555555555666777999::::::;;;;;;999888777666666777888999;;;;;;;;;<<<<<<<<<======???@@@@@@@@@@@@AAAAAAAAA@@@?????????>>>>>>======???????????????@@@@@@@@@@@@@@@@@@???????????????FFFEEEDDDBBB@@@>>><<<;;;<<<<<<;;;;;;;;;<<<>>>>>>>>>???AAABBBBBBAAA@@@@@@>>>???@@@BBBCCCDDDFFFFFFAAA@@@@@@@@@@@@@@@AAAAAA??????>>>>>>>>>???@@@@@@>>>>>>??????AAABBBDDDEEE@@@@@@???>>>===;;;:::999???>>><<<;;;:::999999999999888777777888888666444333222111000000111222333333333333333333333222222222222222222222222222222///111222222111111222333222222222222222111000000...---,,,+++*********+++))))))*********++++++++++++++++++++++++******************)))))))))((((((&&&'''''''''''''''((((((************************&&&'''))),,,///111222222444333222000...---------(((((()))***)))((('''&&&(((((('''&&&&&&&&&&&&'''%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%$$$%%%&&&'''&&&%%%$$$&&&(((%%%$$$$$$$$$$$$%%%&&&'''%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%&&&''''''''''''&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$&&&&&&%%%%%%%%%$$$$$$$$$""" !!!###$$$$$$### !!!"""!!!!!! $$$$$$###"""""""""""""""%%%$$$$$$######$$$%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&'''&&&%%%&&&''''''&&&$$$###$$$$$$%%%%%%$$$$$$###$$$$$$&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%&&&''''''&&&&&&%%%%%%%%%$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&""""""###$$$$$$###""""""%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''&&&&&&&&&&&&$$$######$$$%%%&&&&&&%%%)))'''%%%###"""###%%%'''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$''''''&&&&&&&&&&&&&&&'''%%%%%%&&&&&&'''((((((((('''''''''''''''((())))))'''''''''(((((((((((()))''''''((()))******))))))))))))))))))(((((((((((())))))+++---...///000000/////////000000111111111000000111111111222222222000000000000000000000000//////........................///000222333444444444444444444555555666666444333333222222222222222000000000111222222333333111222333444444444333333444444444444444444444444555666777888999999999999888777555555555666888999:::::::::;;;<<<<<<<<<===>>>>>>>>>?????????@@@@@@>>>>>>>>>>>>>>>===============>>>>>>>>>>>>>>>???????????????????????????CCCBBBAAA@@@>>>===<<<<<<<<<<<<;;;;;;;;;===>>>???>>>>>>?????????>>>===<<<<<<===>>>???@@@AAABBBCCCAAA@@@@@@@@@@@@AAABBBBBBAAA@@@???>>>===<<<<<<<<<<<<<<<===>>>@@@BBBCCCDDD????????????>>>;;;999888======<<<::::::999999999:::999888999999999666444333222000///000111333444333333333222222222222222111111111111111111111111///111222111000000111222111111222222111111000///------,,,,,,++++++++++++************++++++++++++,,,++++++******************))))))(((((((((((((((&&&&&&&&&''''''(((((((((************************%%%'''))),,,///111222333777555333000---+++***)))'''((()))******)))((('''(((((('''&&&&&&&&&&&&'''$$$$$$%%%%%%%%%%%%$$$$$$###$$$%%%&&&&&&&&&&&&%%%%%%$$$###"""!!!"""$$$&&&$$$%%%%%%$$$######$$$&&&%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&%%%&&&%%%%%%$$$%%%%%%&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&%%%%%%%%%$$$$$$$$$&&&&&&&&&%%%%%%%%%%%%$$$"""  ###%%%%%%%%%######$$$$$$%%%%%%%%%%%%$$$#########$$$$$$%%%&&&%%%%%%$$$######$$$$$$%%%$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%&&&'''&&&$$$%%%&&&'''&&&%%%$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%&&&''''''$$$$$$%%%%%%%%%&&&&&&&&&######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&'''''''''$$$$$$###""""""###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%&&&'''''''''$$$######$$$'''((((((''')))'''$$$""""""###%%%&&&%%%%%%&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&'''((())))))***((('''''''''''''''((((((%%%%%%&&&&&&'''((((((((('''''''''''''''((())))))((())))))))))))*********+++++++++++++++***)))(((&&&''''''((()))******+++***+++---///000111222222//////000111222222333333/////////000000000000000////////////////////////,,,---------------------------...///000222222333444444555555666666666555222222222222222111111111//////000111111222222333000111333444555444333222444444444444444444444444555555666666666666555555666666555555555666888999999999999:::;;;<<<<<<<<<=========>>>>>>>>>>>>???>>>>>>>>>===============<<<<<<<<<=========>>>>>>????????????????????????BBBBBBBBBAAAAAAAAAAAAAAA<<<<<<;;;;;;<<<>>>???@@@>>>>>>>>>>>>===<<<;;;;;;;;;<<<<<<======>>>??????BBBAAAAAAAAAAAAAAABBBBBBCCCBBB@@@>>><<<:::999999;;;;;;===>>>@@@AAABBBCCC????????????===;;;999888999999999999999:::;;;;;;:::999999:::;;;:::777444444222111000111222444666333333333222222111111111000000000000000000000000111222222111///......///000000111111000000///...---------------,,,,,,,,,+++++++++,,,,,,,,,,,,---,,,+++***)))))))))************)))((('''((((((((('''''''''(((((()))))))))))))))))))))))))))))))))''')))+++...000222444444555444111...,,,)))(((''''''((()))*********)))((((((((('''&&&&&&&&&&&&'''$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%&&&&&&'''$$$###"""###&&&!!!"""###""" """###%%%%%%%%%%%%&&&&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&''''''''''''''''''&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$############$$$""" !!!###%%%&&&&&&############$$$$$$%%%%%%$$$######$$$%%%&&&''''''%%%%%%%%%$$$$$$$$$$$$###$$$$$$%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''%%%$$$$$$&&&''''''&&&$$$$$$%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''$$$$$$$$$%%%&&&'''''''''######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&'''''''''((('''%%%%%%%%%%%%'''((($$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%!!!"""###$$$&&&'''((((((((('''&&&&&&(((((('''&&&'''&&&$$$###"""###%%%&&&%%%%%%%%%%%%&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&''')))***+++,,,''''''&&&&&&&&&'''((((((%%%%%%&&&&&&'''((((((((('''''''''''''''((())))))))))))*********+++++++++---------,,,+++***((((((%%%&&&'''((()))***+++,,,+++,,,---///111222222222......///000111222333333..................//////------------------------+++,,,------...---------------......///000111111222222333444444333333222111222222222222111000000///000000111222222333333///111333555555555333222333333333333333333333333444444444444444333222222555555666666777777888888777888999999:::;;;<<<<<<============>>>>>>>>>>>>>>>>>>======<<<<<<<<<;;;;;;;;;<<<<<<======>>>>>>???????????????@@@@@@@@@????????????>>>>>>>>>>>>;;;;;;::::::;;;===???@@@>>>======<<<;;;:::::::::::::::;;;;;;<<<<<<======BBBBBBAAA@@@@@@@@@@@@@@@AAA@@@>>><<<;;;999888888:::;;;<<<>>>???@@@@@@@@@>>>>>>======;;;:::888777555555666777888:::;;;<<<999999999:::;;;999666333222222111111222333555666333333333222111111000000........................111222222111...------...///////////////...------,,,,,,------------,,,,,,++++++,,,,,,,,,---------,,,+++***)))((()))******+++***)))((('''((()))***))))))))))))))))))******))))))))))))))))))))))))&&&(((***,,,///000111222///...---+++)))(((((((((((()))))))))))))))(((((((((((('''&&&&&&&&&&&&'''%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$######$$$&&&'''(((###$$$%%%###!!!!!!###&&&"""######"""!!!!!!"""$$$$$$%%%%%%&&&&&&&&&&&&&&&$$$%%%&&&'''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%&&&'''''''''''''''&&&%%%%%%%%%%%%%%%&&&''''''''''''&&&&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%$$$$$$$$$#########&&&$$$""""""$$$&&&&&&&&&"""""""""""""""######$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$%%%&&&%%%$$$###"""$$$%%%&&&'''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''%%%$$$$$$&&&'''''''''$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&######$$$$$$$$$%%%%%%%%%###########################$$$$$$%%%&&&&&&''''''&&&''''''((((((''''''&&&$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&###$$$$$$%%%&&&'''((((((&&&%%%$$$$$$&&&&&&&&&$$$$$$$$$$$$###$$$$$$%%%&&&$$$$$$%%%%%%%%%&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''''''''&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%&&&'''((((((%%%$$$$$$$$$$$$%%%&&&'''%%%%%%&&&&&&'''((((((((('''''''''''''''((())))))))))))))))))************+++++++++++++++***)))(((&&&''''''((()))******+++***+++---...///000000111+++,,,,,,---///000000111................................................,,,---.../////////......---------....../////////111111222333333222111000000111222222222111//////000000111111222333333444///111333666666666444333222222222222222222222222222222333333444333333333333555777888999999888777777777888999:::;;;<<<<<<============>>>>>>>>>>>>======<<<;;;:::999999888;;;;;;<<<<<<===>>>>>>>>>>>>>>>?????????@@@@@@@@@======<<<;;;:::999999888999888888888999;;;===>>><<<;;;::::::999999999999777888999:::;;;<<<===>>>BBBAAA@@@>>>============<<<;;;::::::999999999:::999:::;;;==================<<<:::999777666666666333444444555777888:::;;;777777777999999888444111000000111111222333333444333333222222111000000///------------------------///000111000...---...///------......------,,,+++***+++,,,------,,,+++******+++++++++,,,,,,,,,,,,,,,+++)))(((((((((******,,,+++***(((((()))***+++******))))))))))))))))))))))))))))))))))))))))))$$$%%%''')))+++,,,---...***))))))((((((((((((((()))(((((((((''''''''''''(((((('''&&&&&&&&&&&&'''&&&''''''''''''''''''&&&%%%$$$###"""###%%%((()))$$$'''******'''%%%&&&(((%%%&&&&&&%%%$$$$$$%%%'''$$$%%%&&&&&&''''''&&&&&&$$$%%%&&&'''''''''&&&%%%%%%%%%%%%&&&&&&'''''''''$$$$$$&&&'''(((((())))))%%%%%%%%%%%%%%%&&&'''(((''''''&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%$$$$$$'''''''''&&&&&&&&&%%%%%%'''%%%###"""$$$&&&''''''&&&&&&%%%%%%&&&&&&'''(((&&&%%%$$$###""""""""""""###$$$&&&'''&&&$$$"""!!!$$$%%%&&&'''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''''''''''''''''''''%%%###$$$%%%'''((('''$$$%%%%%%&&&&&&%%%%%%$$$'''&&&$$$$$$$$$$$$&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%&&&(((''''''&&&&&&%%%%%%$$$######$$$$$$$$$%%%%%%%%%##############################$$$$$$%%%&&&''''''###%%%'''))))))'''%%%###$$$$$$$$$%%%%%%&&&&&&&&&''''''''''''''''''''''''&&&&&&'''''''''''''''''' ###%%%%%%$$$#########$$$%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&'''&&&&&&%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&''''''''''''''''''###"""""""""###$$$$$$%%%%%%%%%&&&&&&'''(((((()))'''''''''''''''((())))))(((((((((((())))))))))))((())))))*********))))))(((((((((((())))))))))))******,,,---......//////))))))***+++,,,---...//////////////////.........////////////////////////---...000111111111000///------..................111222333444444333111111000111111222222000///...111111111222333333444444///111444666777666555333222222222222222222222222000111222333444555555555333555888:::;;;:::888777666777888999:::;;;<<<<<<============>>>>>>>>>???<<<<<<;;;:::999777777666;;;;;;<<<<<<===>>>??????>>>>>>??????@@@@@@@@@@@@BBBAAA@@@>>><<<:::888888777666666666777999;;;<<<::::::999888888888888888555666777999;;;===???@@@AAA@@@>>>===;;;:::::::::777777777777888999;;;;;;777888:::;;;<<<;;;;;;:::;;;:::888666444444444444333333444444666777888999555555666777888666222///---...000111222222222222333333222222111000000///---------------------------...//////......///000,,,,,,------,,,,,,+++***))))))+++,,,,,,+++***))))))************+++++++++,,,+++)))((('''(((***+++---,,,***)))((()))***,,,******))))))((((((''''''))))))))))))))))))))))))%%%%%%&&&((()))***+++,,,+++***)))(((((()))******((((((''''''''''''((((((******))))))(((&&&%%%$$$'''&&&&&&&&&&&&%%%%%%%%%'''$$$"""$$$(((***(((%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$######""""""%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%%%%&&&'''(((((('''&&&&&&'''((('''%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%&&&'''((()))'''&&&&&&%%%%%%&&&&&&'''$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&###""""""!!!!!!""""""###$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%%%%(((((('''''''''&&&&&&&&&$$$$$$%%%&&&&&&%%%$$$$$$%%%&&&&&&&&&'''((((((((('''&&&&&&%%%%%%&&&&&&'''$$$##################$$$'''&&&$$$#########$$$$$$$$$%%%&&&&&&$$$$$$%%%&&&###$$$&&&''''''&&&$$$###&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%$$$###"""%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&'''''''''&&&$$$""""""###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$'''''''''(((((((((((()))%%%%%%%%%&&&&&&''''''''''''&&&%%%%%%$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$%%%$$$$$$######$$$$$$%%%((('''&&&%%%$$$$$$###"""'''''''''&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&'''''''''&&&&&&&&&'''&&&&&&%%%%%%&&&&&&%%%%%%&&&''')))***&&&&&&''''''(((((())))))******)))))))))))))))***))))))************))))))'''''''''(((((((((((()))))))))***++++++++++++***,,,***)))***...///...,,,++++++,,,------...//////---.........---,,,,,,+++---000333333222111000000......------------......222222111111111111111111444444444444333111///...000000000000000000000000000111333555555444333222222222111111111111111222222333444444333222111000333555999<<<<<<999555333333333333444666888999::::::;;;<<<<<<======<<<<<<:::::::::999999999888888888:::============>>>@@@>>>@@@AAAAAA@@@AAABBBCCC@@@>>>===<<<===<<<;;;999888777888888999:::;;;<<<888888888888777777777777888888999:::;;;;;;;;;;;;;;;;;;<<<<<<;;;;;;:::999888777666555444444555666444555666777999;;;<<<<<<;;;:::999888777666555444555444444555777888777666777777666666555444222111111111111000000000000000...000111333333333222111000000///............///000///...------,,,------.........///////////////******+++,,,,,,,,,++++++,,,,,,+++***))))))******((()))***+++++++++++++++))))))))))))((((((((((((***+++++++++***)))'''&&&))))))************))))))&&&&&&'''(((***+++,,,,,,,,,+++)))((((((((())))))((((((''''''''''''(((((('''((((((((((((''''''&&&&&&&&&&&&''''''(((((((((!!! %%%(((&&&$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$#########"""%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%%%%%%%&&&'''(((&&&%%%&&&'''((('''%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%&&&'''((('''&&&&&&%%%%%%&&&&&&'''$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%$$$$$$((('''''''''&&&&&&&&&&&&%%%&&&'''(((((('''&&&%%%&&&&&&&&&&&&'''''''''''''''&&&&&&%%%%%%&&&&&&''')))((('''&&&&&&'''((()))&&&&&&$$$#########$$$$$$$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###%%%%%%%%%%%%%%%$$$######%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&'''''''''&&&$$$###"""###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&'''&&&%%%%%%$$$$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%$$$%%%%%%$$$$$$$$$$$$%%%%%%(((''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%$$$%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&&&&&&&&&&%%%%%%&&&%%%%%%%%%&&&''')))***((((((((((((((((((''''''******)))))))))))))))***(((((())))))))))))((((((''''''((((((((()))))))))))))))***++++++++++++***,,,***)))***---///...,,,***++++++,,,------......,,,,,,------,,,++++++***'''))),,,---,,,+++++++++......------------......111111111111111111111111111222333444333333222111111111111111111111111111000111333444555444333222222111111000000000111111111222333333333222111000555777;;;======;;;777555222222333444555777888999::::::;;;<<<<<<<<<<<<;;;999999999999888888888888999;;;===>>>>>>>>>???@@@@@@AAACCCCCCCCCCCCEEEFFFEEEBBB@@@>>>===<<<:::888888888888888888999:::;;;888888777777777666666666888999:::;;;;;;<<<;;;;;;;;;<<<<<<<<<;;;:::888777777666555444444444555555333444555666888999:::;;;999999888777666555555444555444333444555666555444666666666666555333222111---......000111222333444444444333222111000//////000///......------......///......---------------........................---------,,,+++***((((((,,,++++++***))))))******))))))***+++++++++******))))))))))))(((((((((((())))))******)))(((&&&%%%))))))************))))))&&&'''((()))***,,,---------+++***(((''''''((((((((((((''''''''''''((((((%%%&&&'''(((((((((((((((###$$$%%%&&&'''(((((()))###!!! """&&&((('''$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$############%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%&&&'''((('''&&&%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&'''&&&&&&%%%%%%&&&&&&'''$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&%%%%%%$$$###''''''''''''&&&&&&&&&&&&'''((())))))))))))((('''''''''''''''&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&''''''&&&$$$######$$$&&&'''&&&%%%%%%$$$$$$$$$$$$%%%$$$%%%&&&&&&$$$$$$%%%&&&'''&&&$$$######$$$&&&'''&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$###%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%&&&&&&'''&&&%%%$$$#########$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&%%%$$$$$$$$$%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$$$$$$$%%%%%%''''''''''''''''''''''''%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%&&&%%%%%%%%%&&&'''((()))******))))))(((''''''&&&))))))))))))))))))))))))''''''(((((((((((('''''''''(((((((((((()))))))))((()))******++++++******+++))))))***,,,------,,,*********+++,,,,,,------+++++++++++++++******)))'''***,,,...---------.........------------......111111111111111111111111///000222333444444444444111111111111111111111111000111222333333333222111000000000//////000000111000000111222222222111111555777:::<<<<<<:::777555111111222333444666777888999999:::;;;;;;;;;;;;:::999999999999888888888888999<<<>>>???>>>>>>???AAAAAABBBDDDEEEDDDEEEGGGIIIIIIFFFBBB???===<<<:::888999888888888888888999999888777777666666666666666888999:::;;;<<<<<<<<<<<<;;;<<<<<<<<<;;;999666444666555444444333444444444333333444555777888999999777777666666555555555555666444333333444444444333666666666555444333222111------...000111222333444555555333222111000000000......---,,,,,,,,,---------------------...............------,,,,,,++++++------,,,,,,+++***((((((,,,+++******)))***************++++++******)))((())))))))))))(((((((((((((((((())))))((('''&&&%%%((())))))******))))))(((''''''(((***+++,,,---...---,,,***((('''&&&''''''((((((''''''''''''((((((%%%&&&''''''((((((''''''!!!""""""###$$$$$$%%%%%%)))'''%%%%%%&&&&&&%%%"""$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$%%%'''((('''&&&%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&%%%$$$######&&&&&&&&&&&&&&&&&&&&&&&&((((((((())))))((((((((('''''''''&&&&&&%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''$$$"""  """$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&$$$$$$%%%&&&&&&&&&$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&'''''''''((($$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&''''''''')))))))))(((((('''''''''((((((((()))))))))))))))&&&''''''''''''''''''&&&&&&&&&'''''''''(((((((((((())))))***************)))))))))***+++,,,,,,,,,))))))******++++++++++++***+++++++++++++++******)))+++.../////////000111......------------......000000000000111111111111000000111222333444555555222222222222222222222222///000111222222222111111//////////////////000111///000000111222222222222333444666888888666444333111111111222333444666777888888999::::::::::::999::::::::::::999999999999888:::============>>>@@@???@@@BBBCCCCCCDDDFFFGGGIIIFFFAAA>>>===<<<:::999999888888777777777888888888777666555555555666666999:::;;;<<<<<<======<<<;;;<<<<<<<<<:::777444222444444444444333444444444444444555666777777888888555555555555555555555555888555333333444444444333555555555444333222111000000000000000000111111111111222333444444333222111...---,,,,,,++++++,,,,,,++++++,,,---......//////...------,,,+++***))))))((()))***++++++,,,++++++++++++***************+++++++++++++++***)))((('''))))))))))))(((((((((((()))))))))(((((('''''''''(((((())))))))))))((((((''''''(((***+++,,,---...---+++***(((&&&&&&&&&'''((((((''''''''''''(((((('''''''''''''''&&&&&&%%%########################'''&&&%%%$$$$$$$$$"""!!!$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&%%%$$$%%%'''((('''&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&%%%$$$$$$$$$%%%%%%'''&&&&&&%%%%%%&&&&&&'''$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&%%%%%%$$$###%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&%%%%%%%%%$$$'''&&&&&&%%%%%%&&&&&&''''''&&&$$$######$$$&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&$$$$$$%%%&&&$$$$$$&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&'''''''''''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&$$$$$$$$$%%%&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&''''''((((((((((((&&&'''((())))))))))))(((&&&&&&''''''''''''&&&&&&%%%%%%&&&&&&&&&'''''''''(((((()))************)))(((((()))*********+++,,,))))))************++++++++++++,,,,,,,,,,,,++++++&&&(((*********+++,,,.........------------......//////000000000111111111222222222222222222222222111111111111111111111111/////////000000000000000//////...//////000111111000000000111111222333333333444555666666555444333111111111222333444555666777888999999::::::999999<<<;;;;;;;;;;;;:::::::::777999;;;<<<;;;;;;<<<>>>;;;===?????????@@@AAACCCDDDBBB>>>===<<<<<<;;;:::888888777666666666777777999888666555555555666777::::::;;;<<<============;;;;;;;;;;;;999666333111333333444444444444444444666666666777777888888888444444444444555555555555999777444333444555555555555555444444333111000/////////000000111111111111///222555777777555111///------,,,++++++++++++,,,)))***,,,---............------,,,+++***))))))((('''((()))***+++++++++++++++***************+++++++++++++++***)))((('''&&&))))))))))))((((((((((((******))))))))))))))))))(((((())))))))))))((((((&&&'''((()))***,,,------,,,***)))'''&&&&&&''''''((((((''''''''''''(((((('''''''''''''''&&&%%%$$$&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&''''''(((%%%$$$$$$$$$############$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((''''''&&&%%%$$$###$$$&&&''''''&&&&&&&&&''''''''''''&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%'''&&&&&&%%%%%%&&&&&&'''$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''''''''&&&&&&&&&&&&''''''$$$%%%%%%&&&&&&&&&&&&%%%$$$%%%&&&&&&$$$$$$%%%&&&###$$$&&&''''''&&&$$$###$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$"""###$$$%%%%%%&&&&&&%%%$$$%%%&&&&&&&&&&&&%%%%%%$$$%%%%%%&&&''''''((((((%%%&&&((()))***))))))(((&&&&&&''''''''''''&&&&&&%%%%%%&&&&&&&&&''''''''''''((())))))******))))))'''(((******))))))+++,,,***************************+++,,,,,,,,,,,,,,,,,,&&&((())))))))))))+++---......------------.........//////000000111111111333222111000000000000000000000000000000000000000........./////////000000////////////000111222222222222222111222222333444555555555666666555555555222222222222333444555666888888999::::::::::::999;;;;;;;;;;;;::::::::::::555777:::;;;::::::;;;===:::;;;======<<<<<<>>>???@@@>>>===<<<===<<<;;;999777666666666666666777777:::999777666555666888999:::;;;<<<===>>>>>>>>>>>>;;;;;;:::888666444333222333333444555555555555444777777777777777777777777444444555555555555555555999777444333444666666666444444444333222111000///+++,,,...///111333555555444666888999777333///,,,------,,,+++++++++,,,,,,)))***,,,---.........---,,,,,,++++++******))))))******++++++***))))))(((*********)))******+++,,,************)))((('''&&&))))))))))))((((((((((((******))))))))))))******'''(((((())))))(((((('''&&&&&&'''(((***+++,,,,,,***)))((('''&&&''''''(((((((((''''''''''''((((((%%%%%%&&&'''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&%%%&&&'''(((((((((***+++&&&%%%%%%$$$###"""!!!!!!$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''''''''&&&%%%$$$######$$$&&&''''''&&&&&&&&&''''''''''''&&&&&&############$$$%%%&&&&&&'''&&&&&&%%%%%%&&&&&&'''$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%&&&&&&'''&&&&&&%%%%%%&&&&&&'''$$$%%%&&&&&&&&&&&&%%%$$$$$$$$$&&&'''''''''&&&&&&$$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&'''&&&&&&&&&&&&%%%%%%%%%$$$%%%%%%&&&''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%&&&'''&&&%%%%%%%%%%%%%%%%%%$$$&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&$$$%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$######""""""###%%%%%%&&&&&&%%%$$$%%%&&&&&&&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%$$$%%%''')))******)))(((''''''(((((((((((('''''''''''''''((((((((())))))'''(((((()))))))))))))))%%%(((***)))((((((***,,,++++++++++++++++++++++++))))))***+++++++++++++++***+++,,,,,,++++++---///......------------............//////000111111222111111///.........///000////////////////////////......------......///000000//////000111222333333555444333222222222333444555555444444444444555555333222222333333444555666888999999:::::::::::::::::::::999999999888888888666888:::;;;;;;;;;<<<===;;;<<<======<<<;;;<<<>>>>>>======>>>>>>===:::777555555555555666666777888<<<:::888666666777999:::;;;;;;===>>>>>>>>>>>>>>>;;;:::888666444333333333333444555666777666666555666666666666666666666666666666666555555555555555888555222222333555777777333333333333222000///...+++,,,---///111333555666888888777666555222000///......---,,,,,,,,,,,,,,,)))***,,,.........---,,,++++++++++++++++++++++++***************))))))(((******))))))***++++++,,,))))))******)))(((''''''))))))))))))((((((((((((***)))(((((((((((()))***''''''((((((((((((''''''%%%%%%&&&((()))***+++,,,))))))'''&&&&&&'''((()))((((((''''''''''''(((((("""###%%%&&&'''(((((((((""""""###$$$%%%&&&&&&'''$$$%%%%%%%%%#########$$$'''&&&%%%$$$###!!! $$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$&&&&&&&&&&&&$$$$$$$$$######$$$&&&''''''&&&&&&&&&''''''''''''&&&&&&############$$$%%%&&&''''''&&&&&&%%%%%%&&&&&&'''$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&###""""""""""""""""""###$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$%%%&&&'''''''''$$$$$$$$$%%%%%%&&&&&&&&&((('''&&&%%%%%%&&&'''((($$$$$$$$$%%%%%%&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%&&&((())))))(((&&&%%%###$$$&&&'''((('''&&&&&&$$$%%%&&&&&&$$$$$$%%%&&&'''&&&$$$######$$$&&&'''$$$$$$$$$%%%%%%&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%$$$%%%%%%&&&'''''''''&&&%%%%%%%%%&&&&&&'''''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&'''''''''$$$$$$$$$$$$%%%%%%&&&'''&&&&&&&&&%%%%%%$$$$$$$$$'''&&&&&&%%%%%%&&&&&&'''''''''''''''''''''''''''%%%%%%%%%&&&&&&'''''''''%%%%%%%%%$$$$$$#########!!!"""###$$$%%%&&&&&&&&&$$$%%%&&&&&&&&&%%%$$$###&&&%%%%%%$$$$$$######"""$$$%%%''')))******)))(((''''''((((((((((((''''''))))))))))))************'''(((((()))))))))))))))%%%(((***)))((('''***,,,,,,,,,++++++++++++++++++(((((()))******************+++,,,+++******,,,---.........------.........---......///000111111222000///...------...///000////////////////////////...------------...//////000000000000111222333444777666444333222333333444333222222111111222222333333333333333444555555666999999:::;;;;;;;;;;;;:::888888888777777777777666777999;;;<<<;;;;;;===>>>===>>>???>>>===<<<===>>>>>>>>>>>>??????===999555444444444555555777888999===;;;999777666888:::;;;;;;<<<===>>>????????????;;;999777444333333444555333444666777777777666666555555555555555444444444777777666666666555555555666444111000222555666777333333333222111000///......//////000111222222222888777555333222333555666///...------,,,,,,------)))+++,,,......---,,,++++++++++++++++++,,,,,,,,,&&&'''((()))++++++,,,,,,******))))))***+++,,,,,,)))))))))))))))(((((('''))))))))))))(((((((((((()))((('''&&&&&&'''((()))''''''(((((((((((('''''')))((((((&&&%%%$$$######((('''&&&%%%%%%&&&((()))&&&%%%######$$$%%%$$$###'''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$###!!! !!!###$$$&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&''''''(((''''''&&&&&&&&&%%%%%%%%%&&&&&&''''''&&&&&&%%%$$$''''''''''''&&&$$$"""!!!%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%%%%$$$$$$$$$$$$"""############$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%%%%$$$###$$$%%%&&&'''%%%""" !!!$$$&&&%%%###&&&%%%%%%%%%%%%&&&''''''***))))))(((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$%%%&&&&&&&&&&&&''''''((()))((('''%%%$$$$$$%%%&&&'''''''''&&&%%%%%%$$$###"""""""""###$$$'''%%%$$$%%%((()))&&&$$$%%%$$$#########$$$%%%&&&'''&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########%%%$$$###$$$%%%&&&$$$"""########################$$$%%%%%%&&&&&&%%%%%%$$$%%%###"""$$$'''((('''%%%$$$$$$%%%%%%%%%%%%&&&&&&+++***(((&&&$$$""" %%%%%%&&&'''&&&%%%###""" """$$$&&&'''&&&%%%$$$#########$$$$$$%%%%%%%%%(((((('''&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&'''***++++++***'''&&&%%%&&&&&&''''''''''''''''''''''''''''''((()))))))))))))))))))))*********+++***)))(((((()))******++++++++++++++++++++++++((())))))************)))++++++******++++++,,,------------...------,,,,,,...............///000111..................------///000000000000//////...111000000///////////////111111000000111333444666666666555444333333333333333333333333333333333333555444444333333444444555666777999;;;<<<<<<<<<<<<888888777777777999:::;;;888888999::::::::::::999<<<<<<======<<<<<<;;;:::<<<<<<<<<;;;:::999777666777666555444444555666777444444555666777888999999<<<===???@@@@@@???===<<<>>><<<:::888666555555555666777888999:::;;;;;;;;;222444666888888666444222222444555777777666444333555555555333222222444666555555444444444333000...000000000000111222333444555555555444333222111000111000///...---,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,---,,,***(((((()))***+++,,,***(((&&&&&&'''((()))+++******)))******++++++******))))))))))))******,,,+++)))''''''''''''(((''''''((())))))((('''&&&&&&((()))++++++)))(((&&&(((''''''&&&&&&%%%%%%$$$)))(((&&&%%%%%%&&&'''(((%%%###""""""###$$$$$$###''''''''''''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%###""""""###%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%(((''''''&&&&&&&&&''''''(((((('''''''''&&&&&&&&&&&&&&&''''''&&&&&&%%%$$$$$$$$$$$$######$$$$$$$$$""""""""""""""""""""""""&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%%%%$$$$$$$$$%%%############$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$%%%&&&'''%%%###!!!"""$$$%%%%%%###&&&%%%%%%%%%%%%&&&''''''%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''((())))))******+++'''''''''''''''&&&%%%%%%$$$%%%&&&'''''''''&&&&&&&&&%%%$$$#########$$$$$$###""""""$$$'''((('''%%%""""""######$$$%%%&&&'''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######%%%$$$###$$$&&&&&&$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%###""""""$$$%%%###!!!$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''%%%%%%&&&&&&&&&%%%$$$###!!!"""$$$&&&&&&&&&%%%$$$######$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''')))******)))'''&&&'''(((((()))))))))))))))'''''''''''''''((())))))++++++******))))))((((((+++***)))(((((()))******++++++++++++++++++++++++)))))))))***++++++,,,,,,+++************+++,,,,,,,,,------...------,,,,,,......------......///000........................//////000000000000000///111111000/////////000000/////////000111333555777555444333222111111111111333333333333333333333333555444444444444444444555666888:::<<<===<<<<<<;;;777666666666666888999:::999999:::;;;;;;;;;;;;;;;===============<<<<<<;;;=========<<<;;;:::888777888777666555555555666777555555666777888999::::::>>>@@@BBBCCCCCCBBB@@@>>>>>>===;;;888777666666666666777888999::::::::::::333444555666666555333222333444555777777666444333333444444333111222444666555444222222222111000000000000000000111222444444444444444444333222111111---------------,,,,,,,,,---------,,,,,,,,,,,,,,,------,,,++++++,,,------,,,+++***)))))))))***************************+++))))))(((((((((((())))))+++***)))((('''''''''''''''((())))))))))))(((''''''((()))******)))((('''&&&&&&&&&&&&&&&&&&&&&&&&***)))'''&&&%%%%%%&&&'''$$$###"""###%%%&&&&&&%%%'''''''''&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''%%%%%%%%%%%%''''''&&&&&&%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&)))((('''&&&&&&&&&&&&&&&((((((((((((''''''''''''&&&&&&''''''&&&&&&%%%$$$$$$############$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%$$$$$$$$$%%%%%%############$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$%%%&&&'''$$$###""""""$$$%%%%%%$$$&&&%%%%%%%%%%%%&&&''''''"""###$$$%%%&&&'''((()))&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&'''((()))***'''&&&&&&%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&'''&&&%%%$$$$$$$$$$$$%%%!!! !!!###&&&''''''&&& !!!"""$$$%%%&&&''''''%%%%%%$$$############$$$###$$$$$$%%%'''(((((()))%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###%%%$$$$$$$$$&&&&&&$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%############""" $$$$$$%%%%%%%%%%%%&&&&&&###$$$%%%&&&((()))******%%%%%%&&&&&&&&&%%%$$$$$$"""###$$$&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''(((((()))))))))))))))'''''''''''''''((()))))),,,,,,+++***)))(((''''''******))))))))))))******++++++++++++++++++++++++***************,,,...///******))))))******+++,,,,,,,,,------...------,,,------------------...///..............................///000111111111111222222111000000000000111000000000111222333444555555444333222111111111111333333333333333333333333555555555555555555555555666888:::<<<===<<<:::888555555444444555666888999::::::;;;;;;;;;<<<<<<<<<>>>>>>=========<<<<<<<<<=========<<<;;;:::999888888888777666555555666666777777888999:::;;;<<<<<>>===;;;:::999888888888777777888888999888888777555555555444444333333222333444555666666555444333111222333222222222444666555555444222111111000000///000000000222333444555222222222222222222222222++++++,,,,,,,,,---------......---------,,,,,,,,,,,,,,,,,,,,,,,,,,,------,,,,,,,,,,,,,,,+++++++++******+++++++++******)))((((((''''''''''''(((((()))******))))))((('''&&&'''(((((()))))))))(((((('''((()))******)))((('''%%%%%%&&&&&&'''(((((((((***)))(((&&&%%%%%%%%%%%%%%%$$$###$$$&&&(((((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&)))((('''&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&''''''&&&&&&%%%$$$###$$$%%%%%%&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%%%%#########$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$#########$$$%%%%%%%%%&&&%%%%%%%%%%%%&&&''''''$$$%%%&&&'''((())))))***&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$%%%&&&'''((('''&&&$$$######$$$%%%&&&%%%%%%%%%&&&&&&&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%""""""###$$$&&&&&&&&&&&& """###%%%&&&&&&%%%%%%$$$$$$######"""######$$$$$$$$$$$$%%%&&&''''''(((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$%%%&&&&&&%%%###%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$'''&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''%%%%%%%%%%%%%%%%%%%%%$$$######%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%%%%%%%&&&'''%%%&&&&&&''''''''''''''''''''''''''''''((())))))+++*********))))))(((((()))))))))))))))*********++++++++++++++++++++++++,,,+++***))))))***,,,...******)))))))))***++++++,,,,,,------...---------------,,,,,,,,,------...---------...............---...///000111222222222333222222111111111111111333333333333333333444444777666555444444333333444222222333333333333444444666666666666666666666666555777999;;;;;;:::777666444444333333444555777888:::::::::::::::;;;;;;<<<======<<<<<<;;;;;;;;;;;;;;;;;;;;;;;;:::999888777999888888777666666666666999999:::;;;<<<======>>>===???BBBDDDDDDBBB???=========<<<;;;:::999999999888888888888888777666666666555444333222222333333444555555666666555444333111222444444333444666777777999:::999666333111000000000000111222333555555111111111111111222222222,,,,,,------------......//////......------,,,,,,***++++++++++++***)))(((+++,,,,,,------,,,++++++******+++++++++***)))))))))((((((''''''(((((()))((()))*********((('''&&&&&&'''''''''((((((((((((''''''((())))))(((''''''$$$%%%%%%&&&'''((()))***))))))((('''&&&%%%%%%%%%$$$###"""###%%%''''''&&&########################%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''(((((('''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$&&&&&&''''''&&&&&&%%%$$$###&&&((('''%%%###$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%$$$$$$%%%%%%&&&###$$$$$$$$$$$$%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%&&&$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$(((''''''''''''((())))))&&&%%%$$$######$$$&&&'''%%%%%%%%%%%%&&&&&&''''''''''''''''''&&&&&&%%%%%%%%%&&&''''''&&&%%%%%%%%%###$$$%%%&&&&&&$$$###"""$$$######"""######$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$%%%&&&'''%%%###$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&'''$$$$$$$$$%%%%%%%%%&&&&&&'''&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%((('''&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%$$$$$$%%%&&&'''%%%&&&&&&''''''''''''''''''''''''''''''((())))))(((((())))))*********+++(((((())))))************++++++++++++++++++++++++---,,,***((('''((()))************)))***++++++,,,+++,,,,,,---.........---...------,,,,,,,,,---------------.........//////......000111222222222222333222222111111111111111111222333444666777777888777777666555444444444444222222222333333444444444666777777888888777777666333555777999999888666444444444333333444555777888999999999888999:::;;;;;;<<<;;;:::999999999::::::999999999999999888777666999999888888888777777666::::::;;;<<<===>>>??????===???AAACCCCCCAAA???===<<<<<<<<<<<<;;;;;;::::::888888888888888777666555777666444222222333444555555666666555555444444333222444666666666666777999999===AAAAAA<<<666222000111111111111222333444555111111000000000111222222////////////............/////////......---------------,,,,,,***)))'''&&&******++++++,,,+++******+++++++++++++++***))))))***))))))(((((())))))***(((((()))******)))'''&&&%%%%%%%%%&&&&&&'''''''''''''''((((((((((((''''''$$$%%%&&&'''((()))******(((((((((''''''&&&&&&%%%"""!!! """$$$$$$###""""""############$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&''''''((((((''''''&&&&&&&&&''''''(((%%%%%%%%%%%%$$$$$$$$$###&&&&&&''''''&&&&&&%%%$$$ $$$&&&'''&&&$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%$$$$$$$$$%%%&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&###$$$%%%&&&&&&&&&%%%%%%###$$$%%%%%%###$$$%%%'''&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&%%%$$$######"""&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&'''''''''&&&%%%%%%%%%%%%%%%%%%&&&&&&'''&&&%%%%%%%%%%%%&&&'''(((&&&&&&''''''&&&&&&%%%$$$&&&''')))(((&&&$$$$$$%%%%%%%%%%%%%%%$$$###""""""$$$############$$$%%%%%%%%%%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%&&&%%%%%%%%%''''''%%%$$$########################$$$%%%%%%&&&&&&%%%%%%$$$ """############%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%(((((('''&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%$$$$$$%%%&&&''''''(((((()))))))))))))))'''''''''''''''((())))))''''''((()))***+++,,,,,,'''((()))******+++******++++++++++++++++++++++++,,,+++***(((((((((((()))++++++******++++++,,,---++++++,,,---............///...------------------,,,,,,------...///////////////000111222222222222222222111000000000000111,,,...111444777:::;;;<<<666555444333222222222222111222222333333444444555777777999999999999777777444444666777777777666666555555444444555666888999:::999888777888999:::;;;;;;:::999888777888999999888888888888888777666555777888999999999999888888;;;;;;<<<===>>>??????@@@>>>???AAABBBBBBAAA???>>>:::;;;;;;<<<<<<;;;::::::888999999999888777777666666555444333333444666666666666666555444444333333444555888888777777777888999>>>CCCCCC???999444333333333222222222222333333222111000//////000111111111000000000//////......////////////////////////000///...---+++***))))))))))))))))))************---,,,+++***)))))))))*********))))))))))))******(((((())))))))))))((((((%%%%%%%%%%%%&&&'''((((((''''''''''''''''''''''''%%%%%%&&&'''((())))))***''''''''''''''''''&&&&&&$$$###!!!"""###$$$$$$######$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''(((((((((&&&&&&&&&&&&&&&'''((()))&&&&&&%%%%%%%%%$$$$$$$$$&&&&&&''''''&&&&&&%%%$$$ !!!"""###$$$%%%&&&&&&((((((((((((((((((((((((&&&%%%%%%$$$$$$%%%%%%&&&%%%$$$$$$$$$%%%%%%&&&'''$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&###$$$%%%&&&&&&&&&%%%%%%###%%%&&&%%%######&&&(((&&&%%%%%%%%%%%%&&&''''''&&&&&&%%%%%%$$$###""""""&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""$$$&&&''''''&&&$$$"""%%%%%%&&&'''''''''''''''&&&&&&%%%%%%%%%&&&'''(((%%%&&&&&&'''&&&%%%$$$###$$$&&&((('''%%%###$$$&&&%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%&&&%%%%%%&&&''''''&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$!!!###%%%$$$""""""###%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%&&&'''''''''%%%%%%$$$$$$$$$%%%&&&'''&&&&&&&&&%%%%%%%%%&&&&&&''''''&&&&&&&&&%%%%%%%%%'''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&&&&&&&&&&'''''''''(((((()))))))))))))))'''''''''''''''((())))))(((((())))))******++++++&&&''')))***++++++******++++++++++++++++++++++++)))))))))******+++++++++,,,,,,,,,+++,,,,,,---...***+++,,,---............000///......------......,,,,,,------...//////000000111111222222222111111111111000/////////000000,,,---000333666888999999666555444333333222222333111111222333333444555555777888999::::::999888777555555555666777888999:::777666666666666888999:::;;;:::999888888:::;;;<<<<<<;;;999888777888999:::888888888888888777777666666777888::::::::::::999;;;;;;<<<===>>>???@@@@@@>>>>>>>>>>>>>>>>>>>>>>>>999:::;;;;;;<<<;;;:::999888999999999999999888888555555555555666777777888777777666555444333333333444666888888777666666777666:::??????;;;888888999555555444333222222222222333222000.........///000.........///////////////.........///000000111111...---,,,+++++++++,,,---***))))))((()))***+++,,,///---***((('''(((***+++))))))(((((((((((())))))))))))(((((((((((())))))''''''&&&&&&'''(((***+++'''''''''&&&&&&'''''''''&&&&&&''''''((())))))***&&&&&&''''''((('''''''''(((&&&%%%%%%&&&'''&&&%%%%%%%%%%%%&&&&&&'''''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''((())))))%%%%%%%%%&&&'''((()))***''''''&&&&&&&&&%%%%%%%%%&&&&&&''''''&&&&&&%%%$$$...,,,(((%%%###$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$%%%%%%&&&'''$$$$$$%%%%%%%%%&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''###$$$%%%&&&'''&&&%%%%%%###%%%&&&%%%######&&&(((&&&%%%%%%%%%%%%&&&'''''''''''''''&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&(((***,,,,,,***'''%%%$$$%%%'''((()))(((''''''&&&&&&%%%$$$%%%&&&'''((($$$%%%&&&&&&&&&%%%$$$### ###&&&&&&$$$###%%%'''$$$$$$###"""###$$$&&&'''%%%$$$$$$$$$%%%&&&&&&'''###$$$%%%%%%&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%&&&%%%%%%&&&''''''&&&$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%'''((('''$$$"""###%%%$$$$$$%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''%%%%%%$$$###$$$%%%'''((('''&&&&&&%%%%%%%%%&&&&&&'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$%%%&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$''''''''''''''''''''''''%%%&&&&&&''''''''''''''''''''''''''''''((())))))************))))))))))))&&&''')))***+++++++++***++++++++++++++++++++++++&&&((()))+++---.........------,,,,,,------...///***+++,,,---............111000///...............,,,,,,------...///000000111111222222222111111000111000000//////////////////000222333444333333222888888666555555555555555111111222333333444555555777888:::;;;;;;:::888777777666666666777:::<<<===888888777777888999:::<<<<<<;;;:::999999;;;<<<>>>===<<<:::888888999:::;;;888888999999999888888777555666888:::;;;;;;;;;:::;;;;;;<<<===>>>???@@@@@@;;;;;;::::::::::::;;;;;;888999:::;;;;;;;;;:::999888999999:::::::::999999444444555666777888999999888777666444444333333333444666888888666555444555222666:::999777666:::>>>777666444333222111111111444222000...------...///++++++,,,---...///000111------...///000111222222***)))(((((((((***---...+++***)))((((((***,,,...000---***'''&&&(((***,,,((((((''''''''''''((((((***)))(((''''''((()))***)))((((((((()))***,,,---''''''&&&&&&&&&&&&''''''(((''''''''''''((())))))+++***((('''&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&'''%%%""" !!!###&&&(((%%%&&&'''(((((('''&&&%%%(((((('''&&&%%%%%%$$$$$$&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%###""""""###$$$$$$###%%%&&&&&&''''''&&&&&&%%%$$$$$$%%%%%%&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%&&&''''''%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%%%%%%%%%%%%%###"""###%%%&&&%%%%%%%%%%%%%%%%%%%%%%%% """$$$&&&'''&&&$$$###%%%$$$$$$#########""""""$$$######"""###$$$&&&'''$$$%%%%%%$$$"""!!!"""###$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&'''&&&&&&%%%$$$###""""""%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%'''$$$!!!"""%%%(((((((((((('''&&&%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%)))&&&$$$$$$&&&'''&&&$$$&&&&&&&&&'''&&&&&&%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''$$$%%%%%%&&&'''(((******(((''''''&&&&&&((()))***((()))************))))))'''$$$"""###&&&))))))(((******+++++++++******)))++++++---.........---,,,---,,,,,,---......---+++++++++,,,------......///---,,,,,,---...---***'''........................000000111222222222222111222111000/////////111111000000111222333333333333222444666777666444111///111111111111222333333444444777;;;???@@@>>>;;;888999999999999999999::::::;;;999777666666999<<<>>>888888:::;;;;;;<<<;;;;;;;;;<<<===<<<:::999:::;;;999888888888::::::888666444555666555444555666888;;;<<<>>>???@@@???===<<<::::::999888888999:::;;;777999;;;===>>>>>>===<<<<<<;;;:::::::::999666444555111---///444888777666:::999888777555333222222444666777666333222222222222222222333555777888999888555222111111111000///444444333222000...,,,+++,,,,,,,,,------.........---...///000000///...---///......---+++***))))))))))))(((((((((((())))))))))))))))))(((((((((((((((''''''''''''&&&&&&&&&'''''''''(((''''''&&&%%%''''''''''''''''''''''''))))))((((((''''''''''''''''''&&&&&&''''''((())))))(((&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&'''&&&$$$######%%%''')))&&&&&&''''''''''''&&&&&&(((''''''&&&%%%%%%$$$$$$&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$$$$$$$%%%%%%$$$%%%&&&&&&&&&&&&&&&&&&%%%$$$$$$%%%%%%&&&''''''(((&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&&&&'''''''''%%%&&&'''&&&%%%$$$%%%'''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&%%%$$$$$$$$$%%%'''$$$$$$$$$$$$$$$$$$$$$$$$"""###%%%''''''%%%###!!!""""""######$$$$$$%%%%%%'''&&&%%%$$$$$$%%%&&&&&&###$$$%%%$$$###"""###%%%$$$%%%%%%&&&&&&%%%%%%$$$###$$$$$$$$$%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$######"""%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%$$$""" ###%%%&&&%%%((('''&&&%%%%%%%%%%%%&&&%%%&&&&&&''''''&&&&&&%%%'''%%%###$$$'''((((((&&&$$$%%%&&&&&&''''''''''''$$$$$$%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%%%%&&&'''((()))***(((((('''&&&'''((()))************))))))((((((((((((&&&$$$%%%(((******)))******+++++++++*********+++,,,---...///......---------,,,---......---+++++++++,,,,,,---.........///000///---,,,,,,///222---------...............000000111222222222222111222111111000000000111111...///000222333444555555444555666666555444111000222222111222222333444555555777;;;>>>>>>===:::999777777777888888888888888;;;:::888666777999<<<>>>======<<<;;;:::999888888;;;<<<===<<<:::999:::;;;999888888888::::::888777666777777777666666888999:::;;;===>>>???>>><<<;;;>>>===;;;999888777777777888999;;;<<<===============;;;:::::::::999777555333///,,,---222555555333888888777555444333222111111333555555444333444555444444333333444555555666777555222111111222111000111111111000...---+++***+++++++++,,,,,,,,,,,,,,,---...///000000///...---///...---,,,+++******)))))))))(((((((((((())))))((((((((((((''''''''''''(((''''''''''''&&&&&&&&&'''((((((((('''&&&%%%%%%'''''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&''''''((()))(((&&&%%%$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&'''''''''&&&''''''((()))'''''''''&&&&&&''''''''''''''''''&&&&&&%%%%%%$$$&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%$$$%%%%%%&&&&&&''''''''''''&&&&&&&&&%%%%%%$$$$$$%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&'''''''''(((((($$$%%%&&&&&&$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%$$$'''&&&&&&&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&'''&&&$$$"""  !!!###$$$&&&'''(((***)))((('''&&&&&&&&&&&&###$$$%%%%%%$$$$$$%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$!!!"""###$$$%%%&&&&&&'''$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%&&&%%%######%%%'''((('''''''''&&&%%%%%%%%%&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%$$$###$$$&&&((()))(((###$$$%%%&&&'''(((((((((%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%%%%&&&'''((()))***(((((('''''''''((()))***,,,+++)))'''&&&&&&&&&''')))'''&&&''')))*********************************------...////////////......---,,,---//////---,,,++++++,,,,,,------......+++111666333,,,(((,,,111---------........./////////000111111222222111111111111222222222222222111---...///111333444555666777777666555444333222111222222222222333444555666666777999;;;<<<;;;:::999777888888888999999999:::;;;:::999888999;;;===???@@@???<<<:::888888777888;;;<<<===<<<:::999:::;;;999888888999::::::999777777888888888777777999:::999:::<<<>>>>>>===<<<;;;>>>===<<<:::888888777777888999:::;;;<<<<<<===>>>===<<<::::::;;;:::888666222///---...222444444333666666555444333111111000...000333444444444555777666555444333333222333333555444222111222333222111////////////...---,,,,,,,,,+++++++++++++++******---...///000000///...---......---,,,+++******)))))))))(((((((((((())))))(((((('''''''''&&&&&&&&&(((''''''''''''&&&&&&&&&(((((((((((('''&&&%%%$$$''''''''''''''''''''''''%%%%%%%%%%%%$$$$$$$$$$$$&&&%%%%%%%%%%%%&&&''''''***)))((('''&&&''''''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&'''(((((((((((((((((('''&&&%%%%%%&&&'''(((''''''&&&&&&&&&%%%%%%%%%'''&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%########################%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%&&&&&&&&&'''''''''''''''&&&%%%%%%$$$$$$%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&''''''''''''$$$%%%&&&%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$%%%&&&%%%%%%''''''''''''''''''''''''$$$$$$%%%&&&%%%$$$###!!! """###%%%&&&'''(((((((((''''''&&&&&&&&&&&&%%%&&&'''&&&$$$$$$$$$&&&$$$%%%%%%&&&&&&%%%%%%$$$""""""######$$$%%%&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%&&&%%%%%%%%%&&&''''''((('''&&&&&&%%%%%%%%%&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%$$$$$$%%%&&&'''((((((%%%%%%&&&''''''(((''''''%%%%%%%%%&&&&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%%%%&&&&&&((())))))((((((((((((((()))))))))+++***'''&&&%%%&&&'''((()))((((((((())))))))))))******************++++++.........///////////////...------...//////...,,,***++++++,,,------......)))666AAA@@@333)))'''+++,,,,,,------...////////////000000111111111111111000111222444444333222111///000000111222333444444999888666444222222222222222222222333444555666777777777888999999999888888:::::::::;;;;;;<<<<<<===;;;:::::::::;;;===>>>???>>><<<:::888777888999:::;;;<<<===<<<:::999:::;;;999888888999:::;;;999888777888888888777777999:::999;;;===>>>???>>>===<<<;;;;;;::::::::::::;;;;;;999888999999:::;;;===>>>===;;;:::;;;;;;;;;999777444222000111333555555444444444333222111000000///---000222333333333555666555444333222222111222222444222111222333444333222///000000000000000000///------,,,,,,++++++******------...//////...------------,,,,,,+++******)))))))))(((((((((((()))))))))(((((((((((('''''''''(((''''''''''''&&&&&&&&&))))))(((((('''&&&$$$$$$''''''''''''''''''''''''%%%%%%$$$$$$$$$$$$$$$$$$&&&%%%%%%%%%%%%&&&''''''***)))((('''&&&'''((((((''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&$$$%%%&&&'''(((''''''&&&((('''&&&%%%%%%&&&'''(((&&&&&&&&&&&&&&&%%%%%%%%%'''''''''&&&&&&&&&%%%%%%%%%&&&&&&''''''&&&&&&%%%''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$"""%%%'''&&&%%%###$$$%%%&&&%%%$$$$$$$$$$$$%%%&&&%%%%%%%%%&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%$$$%%%%%%%%%%%%&&&&&&&&&$$$%%%&&&&&&$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$###$$$&&&&&&%%%###%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%%%%%%%%%%$$$"""######$$$%%%%%%&&&&&&$$$$$$%%%%%%&&&&&&&&&&&&&&&'''(((&&&$$$######$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%!!!"""""""""!!!"""######&&&&&&%%%%%%%%%&&&&&&'''%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&%%%%%%%%%&&&'''(((((((((((('''&&&&&&%%%%%%%%%&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&'''((()))((((((((()))))))))))))))((('''&&&%%%&&&'''***+++((()))))))))((((((((((((******))))))******,,,,,,............//////000000...------...//////...,,,******++++++,,,------...,,,999DDDCCC777,,,+++///---------.........////////////000111111111111000000111222333444333333222333222111000000000111111888777555222111111222333222222222333444555777777777777777777777666666666999999:::;;;;;;<<<======;;;;;;<<<===>>>???@@@@@@>>>===:::888777777999999;;;<<<===<<<:::999:::;;;999888888999;;;;;;:::999666777777777666666888999:::<<<>>>@@@AAA@@@???>>>;;;;;;;;;;;;;;;;;;;;;;;;888888888888999;;;<<<===<<<;;;::::::;;;;;;999777444333222222333444444333222222111111000000000//////111333333222111222333222111111111111222222333222111000111333444333111......///000000000000000......------,,,,,,++++++,,,---...//////...---,,,,,,,,,,,,++++++******)))))))))(((((((((((())))))*********))))))))))))((((((''''''''''''&&&&&&&&&(((((((((((('''&&&%%%$$$''''''''''''''''''''''''%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((('''&&&%%%$$$$$$%%%&&&'''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''((((((%%%%%%%%%&&&&&&&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%&&&&&&&&&&&&%%%'''''''''&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$!!!$$$''''''$$$######%%%&&&%%%$$$######$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%&&&''''''%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%&&&&&&&&&&&&''''''%%%###%%%((((((&&&###########################""""""###$$$%%%%%%&&&&&&$$$$$$$$$%%%%%%%%%%%%%%%!!!"""###$$$%%%%%%%%%%%%%%%&&&'''&&&###"""###$$$$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%"""$$$%%%$$$######$$$%%%&&&&&&%%%%%%%%%&&&''''''%%%&&&&&&''''''&&&&&&%%%'''''''''&&&$$$$$$%%%''')))))))))((('''&&&%%%$$$%%%&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&'''(((((('''((()))*********))))))'''&&&&&&&&&''')))+++,,,(((***+++***((('''''''''******)))))))))+++,,,---......------......///000///...---...000000...---******++++++,,,,,,------,,,222777444...+++///555...........................///000000111111000000000000111222333333333333555333222000/////////000555444333111111111222222111111111222333555666777666666666666666555444333666666777888999:::;;;;;;:::;;;===???@@@AAAAAAAAABBBAAA>>>;;;999888777777;;;<<<===<<<:::999:::;;;888888888999;;;<<<;;;999666777777777666666888999;;;<<<>>>AAAAAAAAA@@@??????>>>>>>===<<<:::999888666777888999:::;;;;;;<<<:::999999999::::::888666111222111111111111111111111111000000000000000000000222333333111000000111/////////000000222333444111000000111222222111///+++,,,---.....................---------------,,,,,,---...//////...---,,,,,,,,,++++++************))))))(((((((((((())))))+++++++++*********))))))(((''''''''''''&&&&&&&&&'''''''''(((''''''&&&%%%''''''''''''''''''''''''&&&&&&&&&&&&''''''''''''''''''&&&&&&''''''((()))'''&&&%%%$$$$$$%%%&&&'''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''(((((((((%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&########################%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$!!!%%%))))))&&&###$$$&&&&&&%%%$$$""""""$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''(((((((((%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&'''&&&'''((((((&&&&&&'''(((''''''''''''''''''''''''$$$%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%&&&&&&&&&'''''')))&&&%%%'''***+++((($$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&"""###$$$%%%%%%$$$######!!!###$$$$$$######$$$&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&''''''$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%&&&''''''(((%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%&&&(((***)))'''&&&''')))%%%%%%%%%%%%%%%&&&'''(((%%%&&&&&&''''''&&&&&&%%%$$$&&&'''&&&$$$$$$&&&)))(((((()))(((((('''&&&%%%&&&&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&'''(((((('''((()))***+++***))))))((((((((())))))*********)))+++---,,,)))''''''(((***)))(((((()))+++---......---,,,,,,,,,---/////////.........000000...---*********+++,,,,,,------++++++,,,+++***+++...222/////////...------,,,,,,...//////000000000000000000///000000111222333333444333111///...///000111222111111111111111111222000000000111333444666777555666666666555444222111555555666777888999:::::::::<<<>>>AAABBBBBBBBBBBBCCCCCCAAA???>>><<<;;;:::;;;<<<===<<<:::999:::;;;888888888999<<<<<<;;;:::777888888888777777999::::::;;;>>>@@@AAAAAA@@@????????????>>>===;;;999888555666888999:::;;;::::::999888777888999999777666111222333222111000000000000000000000000111111111///111222222111000000111////////////000111222222000//////000111111///---,,,,,,------...---------,,,,,,,,,,,,,,,---------,,,,,,............,,,,,,++++++++++++************))))))(((((((((((())))))************))))))))))))(((''''''''''''&&&&&&&&&%%%&&&''''''((('''''''''''''''''''''''''''''''''%%%&&&&&&&&&'''''''''((((((''''''''''''((()))))))))((('''&&&''''''))))))&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''((())))))%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&''''''%%%&&&'''(((((('''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&(((((('''''''''&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$"""'''++++++'''$$$%%%(((&&&%%%###""""""###%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&'''((())))))%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&'''''''''(((((('''((()))(((''''''''')))''''''''''''''''''''''''$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&'''''''''+++(((''')))------***%%%''''''''''''''''''''''''&&&&&&%%%$$$$$$###############$$$%%%%%%&&&''''''$$$%%%&&&&&&%%%$$$"""!!! """######$$$&&&((($$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&'''((())))))$$$$$$%%%%%%%%%&&&&&&&&&###$$$%%%%%%&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%$$$'''))))))&&&%%%&&&'''%%%%%%%%%%%%%%%&&&'''(((%%%&&&&&&''''''&&&&&&%%%"""$$$&&&&&&%%%%%%(((+++''''''((((((((((((((('''&&&&&&&&&'''''''''((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&'''(((((('''((()))++++++******))))))***************)))(((***---///...+++(((((()))***)))(((((()))+++---...------,,,+++,,,---...//////......///000000///---)))******+++,,,,,,------......///000222222///---000000///...---,,,,,,+++...//////000000000000000000///......///111333444222111000......000111333///000000000111111111111//////000111222444666777444555666777666333111///666777888999:::;;;<<<<<<:::<<>>;;;<<<===>>>>>>===<<<;;;444555888:::;;;;;;:::999888777777777999888777555333444555555333222111222000000000000111111111111...///111222111000111222000////////////000000111//////...///000000---+++......///////////////...*********++++++,,,,,,---,,,,,,---......---,,,,,,+++++++++***************))))))(((((((((((())))))))))))))))))(((((((((((((((((('''''''''&&&&&&&&&$$$%%%&&&'''((((((((((((''''''''''''''''''''''''%%%%%%%%%&&&&&&''''''''''''''''''''''''((()))***'''%%%$$$$$$%%%&&&%%%%%%''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&%%%%%%%%%&&&&&&'''***(((''''''(((((('''&&&&&&&&&%%%%%%%%%%%%$$$$$$(((''''''&&&&&&''''''((('''''''''''''''''''''''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%%%%&&&'''(((&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&'''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%)))((((((''''''&&&%%%%%%'''&&&%%%%%%$$$$$$$$$$$$!!!"""###$$$%%%%%%&&&'''))))))******)))'''%%%$$$&&&&&&$$$$$$$$$$$$&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&''''''((()))******%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''(((((())))))&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((''''''&&&***''''''...111---&&&"""&&&''''''''''''''''''&&&######$$$%%%%%%%%%%%%$$$"""############$$$$$$$$$"""$$$$$$###!!!&&&&&&&&&%%%%%%$$$$$$$$$###$$$$$$%%%&&&&&&&&&&&&&&&%%%###""""""###%%%&&&(((((('''&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%%%%%%%&&&'''%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&'''''''''''''''''''''%%%$$$$$$&&&(((+++******)))(((''''''&&&''''''&&&%%%$$$$$$$$$$$$%%%$$$$$$$$$%%%&&&&&&''')))'''%%%&&&)))***(((&&&))))))(((((('''''''''&&&''''''''''''((((((((((((((((((((((((((((((((((((***)))'''&&&&&&(((***,,,...//////---***(((((()))))))))***+++++++++******---,,,,,,,,,,,,---.................................---,,,,,,++++++++++++............////////////000///...------...///000222222222222222111000///222222333333333444444444111111111111000000000000---///111222000/////////111111111111222333444555666666666555555444444444555777999999777777999<<<>>>>>>???@@@AAABBBBBBCCCBBBAAA@@@AAACCCCCC@@@===<<<;;;:::999888888888888999999999888999999:::;;;777555444555777888888777888999:::<<<>>>???@@@AAA@@@@@@>>>===;;;999888777777666666666666777777888666666666555444444333333777999;;;:::777333000///000000000000////////////...///////////////..................///000222222---///000111000///---,,,...---,,,,,,,,,,,,---...+++,,,,,,,,,---.........)))***++++++------...///......---,,,,,,+++******))))))((('''''''''''''''((((((((((((((((((((((((&&&&&&%%%%%%%%%&&&&&&''')))((('''&&&%%%&&&&&&'''&&&&&&&&&''''''''''''(((&&&&&&&&&''''''''''''(((%%%%%%%%%%%%&&&''''''((()))'''%%%$$$%%%%%%$$$###''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&((()))+++)))(((''''''(((((('''&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%%%%%%%&&&'''&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&''''''((('''&&&%%%%%%$$$$$$$$$%%%######$$$$$$%%%%%%&&&&&&(((((((((((('''&&&%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&)))&&&'''---111,,,&&&###&&&&&&''''''''''''&&&&&&######$$$%%%%%%%%%%%%$$$############$$$$$$$$$$$$%%%%%%&&&&&&'''''''''(((&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%&&&&&&&&&%%%%%%'''&&&$$$######$$$&&&''')))((('''&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%%%%%%%&&&'''%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''&&&&&&%%%%%%'''''''''&&&$$$$$$%%%&&&******))))))(((''''''&&&'''&&&&&&%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%&&&&&&(((&&&%%%&&&(((((('''%%%)))((((((((('''''''''&&&''''''''''''((((((((((((((((((((((((((((((((((((((((((((((((((()))))))))***+++,,,***((('''((()))((()))+++,,,...///000000---,,,,,,,,,,,,---.................................---,,,+++++++++++++++------------............000///...------...//////111222222222222111000///222222222222333333333333111111111111000000000000---///111111000/////////000000000000111222333333222222222333333444444444555777999999888888:::<<<;;;<<<<<<===>>>???@@@@@@BBBAAA@@@AAACCCCCC@@@===::::::999888777777777777777666666666777888999999<<<:::777666777888777777888999:::;;;<<<===>>>???>>>===<<<;;;:::888777777666555555555555666777777666666555555444333333333666888999888555222000000000000/////////.............../////////......---000///////////////......///000111222111000...---...---,,,,,,,,,,,,---...------------------------***++++++,,,,,,---------------,,,,,,+++******)))))))))((('''''''''''''''(((((((((((((((((((((((('''''''''&&&&&&''''''((()))((('''&&&%%%&&&&&&'''&&&&&&&&&''''''''''''(((&&&&&&&&&''''''''''''((($$$%%%%%%&&&&&&'''((((((+++)))&&&%%%%%%%%%###"""&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$$$$$$$$$$#########$$$&&&)))---///)))(((''''''(((((('''%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%$$$$$$######$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$&&&&&&'''&&&&&&%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%"""######$$$%%%%%%&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$'''&&&&&&&&&%%%%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%(((%%%'''---000,,,'''%%%%%%%%%&&&&&&&&&&&&%%%%%%######$$$%%%%%%%%%%%%$$$############$$$$$$$$$%%%$$$###""""""###%%%''')))&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%$$$$$$''''''%%%%%%%%%%%%'''''')))((('''&&&&&&&&&&&&&&&'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''&&&%%%$$$######$$$&&&'''&&&&&&'''((()))))))))(((''''''&&&&&&&&&&&&&&&%%%&&&&&&'''((($$$$$$######$$$$$$%%%%%%'''%%%$$$%%%&&&'''&&&%%%((((((((('''''''''''''''''''''''''''((((((((((((((((((((((((((((((((((((&&&'''(((******)))((('''&&&''')))(((''''''((())),,,,,,++++++***((('''&&&,,,,,,,,,,,,,,,---......---------------------------,,,,,,++++++++++++,,,+++,,,,,,,,,------------///......---......//////111111222222111111000000000111111111222222222222111111111111000000000000---///111111///...//////////////////000111222222111222222333333444444444666777999999888888:::;;;:::;;;<<<===>>>??????@@@AAA@@@@@@AAABBBBBB???===999888777666666555555666666666666666777888999:::AAA>>>:::888888888777666888888888999::::::;;;;;;::::::999999888777777666444444444444444555666666666555555444444333333222555666666555222111111111//////.........---------,,,---............------------......///.........000000111222111000///......------,,,,,,------...............------------,,,,,,,,,,,,,,,,,,,,,,,,+++++++++******))))))((()))((((((''''''''''''((((((((((((((((((((((((((()))(((((('''''''''(((((((((((('''&&&&&&&&&&&&'''&&&&&&&&&''''''''''''(((&&&&&&&&&''''''''''''(((&&&&&&'''((()))*********+++)))&&&&&&&&&&&&%%%###&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%"""""""""######$$$$$$%%%$$$#########&&&)))---///)))'''&&&&&&'''(((&&&%%%&&&&&&%%%%%%%%%$$$$$$$$$&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&%%%$$$###"""$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%$$$######""""""!!!&&&%%%%%%$$$$$$%%%%%%%%%'''''''''&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%'''$$$&&&,,,///+++'''&&&$$$%%%%%%&&&&&&%%%%%%$$$######$$$%%%%%%%%%%%%$$$#########$$$$$$$$$%%%%%%!!!  """$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%$$$$$$###'''&&&%%%%%%%%%%%%&&&''')))(((''''''&&&&&&&&&'''&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%$$$!!!%%%'''(((((()))***(((((((((''''''&&&&&&&&&&&&%%%%%%&&&'''((())))))$$$$$$#########$$$$$$%%%'''&&&&&&&&&&&&'''&&&&&&''''''''''''''''''''''''''''''''''''((((((((((((((((((((((((((((((((((((&&&'''(((((())))))((((((&&&'''((((((&&&&&&'''(((,,,,,,+++)))'''%%%###""",,,,,,++++++,,,,,,---...------------------------,,,,,,+++++++++++++++,,,,,,,,,,,,,,,------------...------.........//////000000111111111111000000000000000000111111111111111111111111000000000///---///000000.........000////////////000111222222444444444555555555555666777888888999999999:::;;;<<<<<<===>>>???@@@@@@AAA@@@@@@@@@AAAAAA@@@>>>===:::999888777666666666666777777888888999:::<<<<<>>:::888777888777777777777777777777888888888666666666666666666666666222222222222333444555555555555444444333222222222333444333111//////111222......---------,,,,,,,,,+++,,,------...---------'''(((+++---///000111111///000000000000///......---------------------------------------.........,,,,,,,,,,,,++++++************)))))))))((((((((()))(((''''''''''''(((((((((((((((((((((((((((((()))(((''''''''''''''''''''''''''''''&&&&&&''''''&&&&&&&&&''''''''''''(((&&&&&&&&&''''''''''''(((%%%&&&((()))***+++++++++)))(((&&&&&&'''((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%"""""""""######$$$$$$%%%%%%$$$$$$$$$&&&(((+++,,,((('''&&&&&&''''''&&&%%%&&&&&&%%%%%%%%%$$$$$$$$$'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%$$$###"""$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%$$$######""""""!!!%%%%%%%%%$$$$$$%%%%%%&&&(((''''''&&&&&&%%%%%%$$$######$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% !!!!!!"""######$$$$$$''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%((('''''''''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&$$$''',,,---***''''''$$$%%%%%%&&&&&&%%%%%%$$$######$$$%%%%%%%%%%%%$$$###$$$$$$$$$$$$%%%%%%%%%######$$$%%%&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%$$$$$$###%%%%%%$$$$$$$$$$$$%%%%%%(((''''''&&&&&&&&&&&&'''$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&'''''''''&&& ###&&&''''''''''''(((''''''''''''&&&&&&&&&&&&%%%%%%%%%&&&'''((()))***%%%%%%$$$$$$###$$$$$$%%%''''''(((((('''''''''(((&&&&&&&&&'''''''''''''''''''''''''''(((((((((((((((((((((((((((((((((((()))(((&&&%%%&&&''')))***)))******)))'''&&&&&&'''&&&''')))+++,,,---......,,,++++++++++++,,,------------------------------+++++++++******++++++,,,,,,------------.........,,,,,,---...............///000000111111111000000//////000000000111111111111111111111000000000///...///000///------...000000000000000000111333333111222333444666777888999888888888999:::;;;;;;;;;:::;;;<<<===>>>??????@@@>>>???@@@AAA@@@???>>>===;;;;;;:::999888888888888888888888888999:::;;;<<<>>>;;;888666777888888777555555555555666666666666333333333333444444444555111111111222222333444555444444444333222222111111222222222000......000222------------,,,,,,,,,,,,+++,,,,,,---......------'''(((***,,,...000000111...............---------------------------------***++++++,,,---...//////---,,,,,,++++++******)))))))))((((((((((((((('''((((((''''''''''''((((((((((((((((((((((((((((((((('''&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''''''''&&&&&&&&&''''''''''''(((&&&&&&&&&''''''''''''((("""$$$&&&((()))***)))))))))(((&&&&&&((()))((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&'''((((((((('''&&&&&&''''''&&&$$$&&&&&&%%%%%%%%%%%%$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((''''''&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%&&&%%%%%%$$$###"""###$$$$$$%%%%%%&&&&&&'''"""######$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&'''&&&&&&&&&%%%%%%$$$$$$"""###%%%&&&'''&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&!!!!!!"""###$$$%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''&&&&&&%%%''',,,,,,(((&&&'''%%%%%%&&&&&&&&&&&&%%%%%%######$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$%%%&&&'''''''''&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&%%%%%%%%%&&&&&&###$$$$$$%%%%%%&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%&&&''''''''''''&&&((()))(((%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&'''((()))&&&&&&%%%%%%$$$$$$%%%%%%'''((()))(((''''''((()))&&&&&&&&&&&&&&&'''''''''''''''''''''(((((((((((((((((((((((((((((((((((()))(((%%%$$$$$$&&&)))+++***++++++***(((&&&'''(((&&&'''(((***,,,---------+++++++++++++++,,,------,,,,,,,,,,,,,,,,,,,,,,,,+++************++++++,,,------------............+++,,,---...............//////000000111111000000///000000000111111111111111111111111000000000000...//////...------...000000000000000111222333333+++,,,...111555888:::;;;999888777999;;;<<<;;;:::888888999:::;;;<<<<<<======???AAA@@@???============<<<;;;::::::999::::::777777777666777777888999:::888666777888888888777444444444444555555555555111111222222222333333333111111111111222444555666444333333222222111111000222222222000......///111......---------,,,,,,,,,+++,,,---......///......------,,,,,,,,,---...............---------,,,,,,,,,------......------,,,*********+++,,,,,,------,,,,,,++++++*********)))(((((((((((((((((((((((((((''''''''''''(((((()))((((((((((((((((((((((((((('''&&&%%%%%%%%%%%%%%%%%%&&&''''''((('''''''''&&&&&&&&&''''''''''''(((&&&&&&&&&''''''''''''((("""$$$&&&(((*********)))+++)))''''''(((((((((&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$!!!"""$$$%%%&&&'''&&&&&&((('''%%%&&&''''''&&&$$$&&&&&&%%%%%%%%%%%%$$$$$$'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''''''''&&&%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%$$$$$$#########$$$%%%%%%&&&''''''$$$$$$%%%%%%&&&''''''(((%%%$$$$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%$$$$$$$$$"""$$$'''))))))'''%%%###$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%&&&&&&&&&''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((((())))))((((((''''''&&&(((,,,+++&&&%%%'''&&&&&&''''''''''''&&&&&&######$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%$$$###"""###$$$%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$%%%&&&&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%$$$%%%%%%$$$$$$$$$%%%%%%&&&$$$$$$%%%%%%&&&''''''(((%%%%%%&&&''''''&&&%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''%%%%%%&&&&&&'''&&&&&&&&&'''((((((&&&$$$###$$$&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&''''''((('''&&&&&&%%%%%%&&&&&&%%%''')))(((&&&%%%''')))%%%%%%%%%&&&&&&'''''''''''''''''''''((((((((((((((((((((((((((((((((((((''''''&&&&&&&&&'''((()))((()))***)))((('''((()))))))))******)))(((((('''+++++++++***++++++,,,---,,,,,,,,,,,,,,,,,,,,,,,,***************+++,,,,,,+++,,,,,,,,,------------***+++,,,...//////.........//////000000000000000000000000111111111222222111111111111000000000000...//////---,,,,,,...000////////////000111222222---...///222444666888999:::888777888;;;===<<<:::777777888999:::;;;<<<<<<<<<>>>AAA@@@>>><<<<<<===>>>===<<<;;;::::::::::::999888777777666777777777888888777888999999777555333333333444444555555555111111111111222222222222111111111222333444555666333333333222111111000000222333333111///......000............------------,,,,,,---...////////////000///---++++++,,,.../////////...---------------,,,,,,---......---,,,,,,+++++++++******)))))))))+++++++++***************(((((((((((((((((((((((('''''''''''''''((())))))(((((((((((((((((((((((()))((('''&&&&&&%%%%%%%%%%%%%%%'''(((((((((''''''&&&&&&&&&''''''''''''(((&&&&&&&&&''''''''''''((($$$%%%(((+++,,,---,,,+++...+++)))(((((((((&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$ ###&&&''''''&&&&&&(((&&&%%%%%%&&&'''%%%$$$&&&&&&&&&%%%%%%%%%$$$$$$))))))(((((((((((())))))%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$&&&&&&&&&&&&$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&######$$$%%%%%%%%%$$$$$$######$$$%%%%%%&&&'''''')))((((((''''''&&&&&&%%%$$$$$$$$$$$$%%%%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$"""$$$(((******((($$$"""$$$$$$&&&&&&&&&&&&$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&(((((())))))))))))((((((((('''))),,,***%%%$$$'''&&&''''''((((((''''''&&&######$$$%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&+++((($$$!!!!!!"""%%%'''$$$$$$$$$%%%%%%&&&&&&&&&###$$$%%%%%%&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$######$$$%%%%%%%%%%%%&&&&&&'''((())))))%%%%%%&&&''''''&&&%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''&&&%%%$$$$$$###$$$%%%%%%$$$&&&)))+++%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&)))((('''&&&&&&&&&&&&&&&$$$&&&((('''%%%$$$%%%(((%%%%%%%%%&&&&&&'''''''''''''''''''''((((((((()))((((((((((((((((((((((((%%%&&&'''((((((((('''&&&%%%&&&(((((('''((()))+++((()))***,,,...//////000++++++******++++++,,,---,,,,,,,,,,,,,,,,,,,,,,,,******))))))***+++,,,,,,******+++++++++,,,,,,,,,)))+++,,,...//////............///000000000000000111111111111222222222222111111111111000000000000...///...---,,,,,,...000...------......///000111555555555555555555555555:::888777888<<<===<<<:::888999:::;;;<<<======>>>;;;>>>AAA@@@===;;;<<<=========<<<;;;::::::::::::<<<;;;:::999888888888888999999999:::;;;999666333222222333444444555666666111111111111111222222222111111111222333555666777333333222222111000000000222333333222///....../////////.........---------,,,---...///000000000000///...+++***+++...111333000000///............///,,,,,,---......---,,,,,,...---,,,***)))'''&&&%%%************************((((((((()))))))))))))))'''''''''''''''((()))***((((((((((((((((((((((((******)))''''''&&&&&&&&&$$$%%%'''(((((((((''''''&&&&&&&&&'''''''''((((((&&&&&&&&&'''''''''(((((((((''')))---...,,,,,,......,,,)))'''%%%$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&'''((()))$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&'''((((((''''''&&&&&&&&&%%%%%%%%%'''&&&&&&&&&&&&'''((((((000+++&&&%%%(((***(((%%%%%%&&&&&&&&&%%%$$$$$$###&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&%%%$$$###$$$%%%&&&''''''&&&%%%%%%$$$$$$%%%%%%"""###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$#########$$$%%%%%%&&&&&&''''''&&&&&&%%%&&&%%%$$$###"""###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&)))(((&&&%%%$$$#########''''''&&&&&&&&&%%%%%%%%%&&&'''(((******((('''&&&&&&'''&&&%%%$$$$$$&&&(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$######$$$%%%%%%((('''%%%$$$$$$%%%'''(((&&&%%%%%%$$$$$$%%%%%%&&&''''''''''''&&&%%%$$$$$$%%%&&&&&&''''''''''''(((''''''&&&%%%$$$$$$###"""%%%%%%%%%&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%(((((((((&&&%%%%%%&&&((((((((((((''''''&&&&&&&&&***))))))(((''''''&&&&&&&&&&&&&&&'''''''''(((((())))))))))))))))))))))))'''((()))+++***)))(((&&&((((((((((((((('''''''''***++++++******)))(((''')))************+++++++++///...---,,,++++++++++++*********+++,,,,,,,,,---++++++++++++,,,---...///,,,,,,,,,---------......//////.........//////000000000000000000000000000222111111000000000//////...------,,,,,,,,,------------......///111222333222444666888999999777777555555555555666666666666777777777888999:::<<<<<>>===<<<;;;999??????:::888;;;<<<888999999999999999888777666::::::999888777666555444222222222222333444555666444444333333222111000000111111111111111111111111///000000000111111111111222222000///............,,,------......------,,,------------------------000...---++++++,,,---...000000///...------,,,,,,---------,,,,,,+++++++++,,,+++***))))))***+++,,,...(((&&&)))+++***))))))%%%&&&&&&'''((()))))))))(((''''''''''''&&&&&&&&&''''''''''''''''''''''''***((('''&&&&&&'''(((***''''''((())))))((((((''''''''''''***,,,,,,+++)))((('''&&&(((******(((%%%'''%%%''',,,---++++++---+++)))'''&&&&&&&&&((()))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%(((((('''&&&&&&%%%%%%&&&$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&'''''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&'''((((((///***&&&%%%((()))(((%%%&&&&&&&&&&&&&&&%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&'''''''''&&&%%%%%%$$$$$$$$$%%%&&&%%%$$$$$$######$$$$$$###$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$#########$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$#########$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%%%%%%%%%%%%%$$$&&&&&&%%%%%%$$$%%%%%%&&&''''''''''''&&&&&&&&&%%%%%%&&&'''(((((('''&&&%%%%%%&&&'''&&&%%%$$$&&&(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%$$$$$$%%%&&&&&&(((&&&%%%$$$$$$%%%&&&(((%%%$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&'''&&&&&&%%%%%%(((((('''''''''((())))))%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%(((((((((&&&$$$$$$&&&'''&&&&&&&&&&&&''''''''''''''''''''''''((((((((((((&&&&&&&&&'''''''''((((((((((((((((((((((((((((((%%%&&&((())))))((('''&&&((((((((((((((((((((('''((()))***++++++,,,,,,+++)))************+++++++++------,,,+++************)))))))))))))))*********+++++++++++++++,,,---...---------.........//////111000///......---..............................111111111111000000//////...------,,,,,,---------------......///111222333333444666888999999888777555555555666666777777777777777777888999:::;;;<<<<<<<<<<<<<<<;;;;;;;;;;;;888===>>>999888;;;<<<:::888999999999999888888777::::::999888777666555555222222222222333444555666444444333333222111111000111111111111111111111111000111111111222222222222222111000///............---......//////......---,,,,,,,,,,,,,,,,,,,,,,,,+++***)))((()))***,,,...000//////...------,,,,,,------,,,,,,,,,+++++++++******)))))))))+++,,,---+++&&&$$$''')))((('''(((((((((''''''(((((()))***(((''''''''''''&&&&&&&&&''''''''''''''''''''''''''''''((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&((('''(((***,,,,,,***(((&&&%%%$$$&&&((((((&&&###&&&$$$&&&+++---******---+++***(((&&&&&&'''((()))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&''''''(((---)))%%%%%%''')))(((&&&''''''''''''''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&%%%$$$$$$###'''&&&%%%%%%$$$$$$%%%%%%%%%%%%$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$$$$######$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$!!!"""###%%%&&&&&&''''''"""""""""######$$$$$$%%%'''&&&&&&%%%%%%$$$$$$###$$$$$$$$$$$$%%%'''((()))((((((((('''''''''&&&&&&$$$%%%&&&''''''&&&%%%$$$$$$&&&''''''&&&%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&%%%%%%&&&&&&''''''&&&%%%$$$$$$%%%&&&'''$$$$$$############$$$$$$%%%%%%&&&&&&'''&&&&&&&&&&&&%%%###""""""###%%%&&&$$$$$$$$$%%%%%%&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((()))((('''$$$$$$%%%&&&%%%&&&&&&''''''((())))))%%%%%%&&&'''(((((())))))&&&&&&'''''''''(((((((((''''''''''''''''''''''''$$$%%%&&&((((((((('''&&&''''''(((((((((((((((((())))))***+++,,,,,,,,,,,,)))************+++++++++,,,++++++******)))))))))*********)))))))))))))))+++++++++***++++++,,,,,,........./////////000000111111///...---,,,,,,,,,........................///000111111111000......---------,,,,,,------...............///111222333333444666777888777777666444555555666777888888999777777777888999:::;;;<<<::::::999888888999999999666:::;;;999999;;;===<<<:::::::::::::::999999999:::999999888777666555555222222222222333444555555444444333333222222111111000111111222222111111000111111111222222222333333222111000//////......///...//////////////////...++++++++++++++++++++++++))))))))))))***,,,.../////////......---,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++******)))******+++***&&&%%%''')))''''''))),,,+++)))((('''((()))***(((''''''''''''&&&&&&&&&''''''''''''''''''''''''%%%''')))******)))'''%%%&&&&&&$$$$$$$$$$$$%%%&&&(((((((((***++++++)))'''&&&%%%%%%&&&''''''&&&$$$&&&$$$&&&,,,---++++++...///---***'''%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%&&&&&&&&&!!!"""###%%%&&&'''(((((($$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%''''''&&&&&&&&&%%%%%%%%%&&&&&&%%%%%%&&&&&&'''(((***(((%%%%%%'''((('''&&&''''''((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''###$$$%%%&&&'''&&&%%%$$$(((((('''&&&&&&&&&&&&&&&'''&&&$$$############$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###$$$###$$$$$$%%%%%%$$$$$$###!!!###$$$&&&''''''&&&%%%!!!""""""###$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&'''((())))))(((((((((((('''''''''%%%%%%&&&&&&&&&&&&%%%%%%###%%%(((((('''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%$$$$$$%%%&&&&&&$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$%%%&&&''''''''''''&&&$$$""" !!!###%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%''''''''''''''''''''''''(((((()))'''%%%###$$$%%%''''''''''''''''''((((((%%%%%%&&&''''''(((((()))''''''''''''((((((((((((((((((((((((((((((((((((%%%%%%'''(((((((((((((((''''''''''''((((((((((((++++++++++++***)))(((((())))))*********++++++++++++++++++++++++***))))))---,,,,,,,,,+++*********++++++*********++++++,,,---.........////////////000///......------------////////////////////////---...000111111000...---------,,,,,,,,,---..................///000111222222333444555555555555444444444555666777999999:::666666777777888:::;;;<<<;;;:::999888777777777777444777999999999;;;===>>>@@@???>>><<<;;;::::::999999999888888777666666555333222222222333333444555444444333333333222222222111222333333333333222111000000111111111222222222111111000///////////////......////////////......++++++++++++++++++++++++------------...///000111.........------,,,,,,,,,,,,+++++++++++++++++++++------,,,+++))))))((((((+++((('''***+++)))))),,,000...+++((('''((()))***(((''''''''''''&&&&&&&&&''''''''''''''''''''''''&&&'''((())))))((('''&&&(((&&&$$$######$$$%%%''')))(((((()))+++***(((&&&(((((('''(((((((((((('''&&&%%%'''---...------//////---***(((&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%%%%%%%&&&'''!!!"""$$$%%%&&&'''''''''$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&'''''''''&&&%%%%%%''''''''''''''''''(((((()))(((((('''&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%&&&'''%%%%%%%%%&&&&&&&&&''''''!!!"""$$$&&&''''''&&&&&&'''&&&&&&%%%%%%%%%%%%%%%&&&&&&%%%$$$############%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########$$$$$$%%%%%%$$$$$$###$$$%%%&&&''''''&&&$$$###"""######$$$%%%&&&''''''######$$$%%%%%%&&&''''''&&&&&&&&&%%%%%%&&&'''''')))(((((((((((('''''''''&&&&&&&&&''''''&&&&&&&&&###%%%(((((('''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%&&&''''''&&&%%%%%%$$$$$$%%%&&&''''''''''''***(((&&&$$$$$$&&&(((***''''''&&&%%%%%%$$$#########$$$%%%%%%&&&&&&&&&%%%''''''''''''''''''''''''&&&'''((('''%%%###$$$$$$'''&&&&&&%%%$$$######"""'''''''''''''''''''''''''''''''''((((((((())))))))))))))))))))))))))))))''''''(((((())))))))))))&&&'''''''''(((((())))))************)))((('''&&&))))))*********++++++++++++,,,,,,---,,,,,,+++***---,,,,,,,,,+++*********+++++++++***++++++,,,,,,,,,,,,---------.........---------------...///000........................---...//////000///...---,,,,,,,,,,,,,,,---...//////......//////000111222111111222222222222222222333444555666777888999:::666666666777888999;;;;;;>>>===<<<:::888777666666444555888:::;;;<<<>>>AAAFFFEEEBBB???===;;;::::::999999888888777777666666333333222222222333444444444444444333333333333333222333555555555555333222////////////000000000000111000000////////////000,,,------......------,,,------------------------000000000/////////000000---------------,,,,,,,,,++++++++++++++++++++++++++++++++++++*********)))***((((((******((()))---111///+++((('''''')))***(((''''''''''''&&&&&&&&&'''''''''''''''''''''''')))((('''&&&&&&'''((()))***(((&&&%%%$$$%%%&&&((()))(((((()))******(((%%%((((((((((((''''''((((((&&&%%%(((---///---...000,,,+++)))''''''((()))***&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%$$$$$$%%%&&&'''&&&&&&'''''''''%%%###"""$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''$$$%%%%%%&&&&&&'''''''''&&&'''((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$%%%&&&''''''%%%%%%%%%&&&&&&&&&''''''"""###$$$%%%&&&'''''''''$$$$$$###""""""""""""###$$$$$$%%%%%%%%%$$$######%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%$$$###"""$$$$$$%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&%%%$$$$$$$$$$$$$$$%%%%%%&&&&&&'''""""""###$$$&&&'''(((((((((((('''&&&%%%%%%%%%&&&((((((((('''''''''&&&&&&'''&&&&&&&&&&&&&&&&&&'''$$$&&&''''''&&&%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$%%%%%%%%%%%%$$$$$$%%%&&&'''(((((('''&&&%%%%%%%%%&&&&&&'''&&&&&&&&&((('''&&&%%%%%%''')))***(((''''''&&&$$$######"""######$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$&&&''''''%%%$$$$$$%%%%%%%%%$$$###!!! ''''''&&&&&&&&&&&&&&&&&&''''''((((((((()))))))))************************))))))))))))))))))))))))&&&&&&''''''((()))))))))%%%&&&'''((()))))))))))))))************++++++++++++,,,---......---++++++*********)))))))))))))))++++++++++++,,,---...///,,,,,,,,,------------...++++++,,,,,,---...000111,,,,,,,,,,,,,,,,,,,,,,,,------------.........///,,,,,,,,,,,,---......//////////////////000111111111111111111111111111111333444444555666777777888666666666777888999:::;;;???>>>>>>===;;;999777666555555888<<<===<<>><<<;;;;;;888888888888777777666666333333333222222333333444444444444444333333333333222333555666666555333222........./////////000000000000////////////000000,,,,,,------------,,,,,,------------------------//////.........---------------,,,,,,,,,,,,,,,,,,*********+++++++++++++++&&&''')))***,,,---------'''%%%&&&)))(((&&&''',,,000...,,,)))((('''((()))(((''''''''''''&&&&&&&&&''''''''''''''''''''''''***)))'''%%%%%%''')))***+++***((('''&&&&&&'''(((''''''''')))******(((&&&%%%&&&'''&&&$$$$$$&&&(((%%%$$$''',,,...------000,,,+++)))''''''((()))***&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%((('''%%%$$$$$$%%%'''((((((((())))))'''%%%###!!!$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&'''''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''"""###%%%&&&&&&&&&''''''%%%&&&'''(((((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$%%%&&&'''(((%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%$$$############$$$!!!###%%%&&&'''%%%$$$"""%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%$$$###"""%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&%%%%%%%%%&&&&&&'''$$$$$$$$$$$$$$$$$$%%%%%%######$$$%%%%%%&&&''''''(((((('''&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&%%%&&&&&&%%%%%%%%%%%%&&&&&&%%%&&&'''&&&%%%$$$&&&(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&%%%$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%'''(((((('''%%%$$$&&&&&&&&&'''&&&&&&%%%%%%############$$$&&&'''(((&&&&&&&&&%%%%%%$$$$$$$$$"""###$$$%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%"""$$$&&&'''&&&%%%%%%&&&&&&&&&%%%%%%$$$###""""""$$$%%%%%%&&&&&&''''''((('''((((((((())))))))))))))))))))))))))))))))))))***))))))(((''''''''''''&&&&&&''''''((())))))***&&&'''((())))))*********)))************+++++++++)))***,,,------,,,+++***)))))))))))))))************++++++,,,---///000111------------............,,,,,,,,,,,,---......///++++++++++++++++++++++++...---,,,+++,,,---///000,,,,,,,,,,,,---.../////////////////////000000111333222222111111222222222333333444444555555555666666666666666777999:::;;;;;;<<<>>>???>>><<<:::888777555888===>>><<>><<<:::888666999>>>???===???FFFDDDBBB@@@>>>======>>>>>>888888888888777777777777444444333222222333333333444444444444444444444444...000222444444222000...000000000000111111111111000000////////////000111......////////////......++++++++++++++++++++++++******,,,---.../////////,,,,,,,,,,,,,,,,,,,,,,,,))))))******++++++++++++,,,------,,,+++)))'''&&&(((''')))+++)))'''***///,,,,,,+++***)))((('''&&&(((((('''''''''&&&&&&&&&''''''''''''''''''''''''&&&'''(((******((('''&&&))))))))))))((('''&&&%%%%%%%%%&&&(((***+++)))((('''))))))(((%%%%%%(((+++!!!"""%%%)))...000///......,,,***(((''''''((()))&&&&&&&&&&&&''')))***+++***(((%%%$$$%%%&&&%%%$$$$$$###"""!!!"""$$$'''(((''''''&&&%%%%%%$$$######%%%$$$$$$###"""!!! &&&&&&&&&''''''''''''(((''''''&&&&&&&&&%%%%%%%%%&&&&&&%%%$$$$$$%%%%%%%%%((('''&&&%%%$$$%%%&&&&&&)))((('''%%%###!!! ###$$$&&&(((((('''&&&%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&(((((())))))))))))((((((%%%%%%&&&&&&&&&%%%$$$$$$###$$$$$$%%%&&&&&&&&&&&&##############################$$$$$$$$$%%%%%%%%%$$$$$$&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((''''''&&&%%%''''''''''''''''''''''''&&&%%%%%%$$$$$$#########%%%%%%%%%$$$$$$$$$############$$$%%%&&&&&&''''''"""############$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''%%%###"""###&&&&&&$$$"""'''&&&$$$###"""###$$$$$$###$$$$$$%%%%%%$$$$$$######$$$&&&(((((('''&&&%%%%%%%%%%%%&&&&&&'''''''''%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%$$$############$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&''')))(((''''''''''''(((((((((((((((((((((((((((((()))))))))))))))(((''''''(((***+++***)))((()))***))))))))))))))))))))))))))))))))))))(((((((((((())))))))))))***************++++++,,,,,,++++++***++++++++++++++++++++++++.........///......------///...---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---.........//////000000000000000000///...---,,,+++,,,............,,,+++---......////////////...222222222333333444444444333555666666444333222222444555555666777666666666777777888;;;>>>>>>;;;777:::;;;<<<===>>>???@@@AAA>>>AAADDDCCC@@@===<<<===>>>===:::888777777888999333333333444444555555555555555444333333333444444777555333111///.........000000111111222222222333555333000000000111111000111000...---,,,,,,------...,,,******---...---+++...---...///111111///---///...------...---+++)))++++++,,,,,,,,,++++++***+++******)))(((''''''&&&''''''''''''''''''&&&&&&%%%%%%%%%&&&(((+++---///))))))))))))(((((((((((('''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&'''((((((((('''%%%$$$&&&'''&&&%%%$$$$$$&&&(((%%%%%%%%%%%%%%%&&&''''''"""###%%%)))---//////---///...+++((('''&&&''''''&&&&&&&&&&&&''')))***+++***(((%%%$$$%%%&&&%%%$$$$$$#########$$$%%%'''(((''''''&&&%%%%%%$$$######&&&%%%%%%$$$$$$#########&&&&&&&&&&&&''''''''''''''''''&&&&&&&&&%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&((('''&&&%%%%%%%%%&&&&&&(((''''''&&&%%%%%%$$$$$$###$$$&&&(((((('''&&&%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&''''''''''''''''''&&&%%%%%%&&&&&&&&&&&&&&&%%%$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###%%%%%%%%%%%%$$$$$$$$$$$$############$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&(((%%%######%%%'''&&&%%%&&&%%%%%%$$$######$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$&&&'''''''''&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%$$$############$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''(((((((((((((((''''''&&&&&&''''''(((************************)))))))))))))))(((''''''(((***+++***)))((()))***)))))))))))))))))))))))))))(((((((((((('''''''''(((((()))))))))************++++++,,,,,,++++++***++++++++++++++++++++++++------......///...............---------------...,,,,,,,,,,,,,,,,,,,,,,,,........./////////000000000000000000///...---,,,,,,------......------,,,......///000000000000///111111111111222222222222222444666666444222222222444444555666666666666555888888999<<>>???@@@@@@===@@@BBBAAA>>>;;;:::::::::888666555444444555666444444444444444444444444444444333333222333333444666555333111//////...///////////////000000000111222000......///000000///111000...---,,,,,,,,,---...,,,******,,,------+++---------...000000///---...---,,,---...---+++))))))***************))))))*********)))((('''''''''+++***)))(((&&&%%%$$$###''''''''''''((()))++++++))))))))))))((((((((((((''''''''''''''''''''''''&&&&&&''''''''''''''''''(((((())))))(((((('''&&&&&&''''''&&&%%%%%%''')))'''&&&&&&&&&&&&&&&''''''$$$$$$&&&)))---///...---000...,,,)))'''&&&&&&&&&&&&&&&&&&&&&''')))***+++***(((%%%$$$%%%&&&%%%$$$$$$$$$$$$%%%%%%&&&&&&''''''&&&&&&%%%%%%$$$$$$###&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&((('''&&&%%%%%%%%%%%%&&&&&&'''''''''(((((((((((($$$%%%&&&'''''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%&&&'''''''''&&&%%%%%%&&&&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''''''''((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$''''''&&&$$$###"""!!! ############$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&(((&&&###"""$$$%%%&&&&&&%%%%%%%%%%%%%%%$$$$$$###$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%$$$$$$######$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((((((((((('''''''''&&&&&&''''''(((************************)))))))))))))))(((''''''(((***+++***)))((()))***))))))))))))))))))))))))))))))))))))(((((((((((((((((((((((())))))))))))***++++++,,,,,,++++++***++++++++++++,,,,,,,,,,,,,,,---...///////////////..................//////------------------------......////////////000000000000000000///...------......------------......//////000111111111111111000000000000000/////////111333555555333222111222333333444555555555555555777777888;;;======;;;888999::::::;;;<<<======>>><<<>>>???>>>;;;888777666666555444333333444555666666555555444444333222222222222111111111222222333555444222111////////////---------...............///---,,,,,,...//////...000///...---,,,,,,,,,------,,,******,,,---,,,+++,,,,,,,,,---//////...,,,---,,,+++,,,------,,,***))))))************))))))******))))))((((((''''''******)))(((&&&%%%$$$$$$)))))))))))))))(((''''''))))))))))))((((((((((((''''''''''''''''''''''''%%%&&&&&&&&&'''(((((((((******)))((((((((((((((('''(((((('''&&&&&&''')))((((((''''''&&&'''''''''%%%%%%''')))---......---...---+++)))((('''&&&&&&&&&&&&&&&&&&''')))***+++***(((%%%$$$%%%&&&%%%$$$###$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&'''''''''(((%%%%%%&&&&&&&&&'''''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&''''''(((((())))))$$$%%%&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%$$$$$$""""""$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$###"""###############$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$&&&&&&$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''((((((((((((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%%%%%%%$$$##################$$$$$$$$$$$$###$$$$$$%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$&&&&&&%%%$$$"""!!! #########$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%&&&%%%$$$#########$$$$$$$$$$$$$$$&&&&&&&&&%%%$$$###$$$%%%%%%%%%%%%%%%%%%$$$%%%%%%$$$$$$$$$%%%&&&'''%%%%%%$$$$$$$$$$$$######%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&(((((('''''''''((())))))(((((((((((((((((((((((()))))))))))))))(((''''''(((***+++***)))((()))***((((((((((((((((((((((((+++++++++*********))))))''''''((((((((()))))))))***++++++,,,,,,++++++***+++++++++,,,,,,,,,,,,,,,,,,,,,---///000000000000//////////////////......------------............//////////////////000000000000000000000///......///...---,,,,,,---...//////000111222222222222222111111000000/////////...000222444444333111111222222333444444555555444444444444666888999999888666777888888888999999::::::<<<<<<<<<:::888555333333444444333444444555777888777777666555333222111000111000000000000111111222333333222111000/////////---------------------------,,,+++,,,...//////............------,,,,,,,,,,,,++++++***++++++,,,,,,,,,+++***+++---...---,,,++++++***+++------,,,***))))))***+++++++++*********)))))))))((((((((('''''''''''''''((((((((((((((()))*********((('''&&&))))))))))))((((((((((((''''''''''''''''''''''''%%%%%%%%%&&&'''((())))))+++***((('''''''''((()))'''((()))((('''&&&((()))))))))(((''''''''''''(((&&&&&&'''))),,,.........++++++***))))))(((((((((&&&&&&&&&&&&''')))***+++***(((%%%$$$%%%&&&%%%$$$###$$$%%%&&&&&&&&&%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&''''''%%%%%%%%%&&&&&&&&&&&&'''''''''&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&%%%%%%%%%''''''&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&&&&&&&&&&%%%%%%!!!!!!"""$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%$$$$$$###"""""""""######$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&$$$$$$$$$$$$&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%$$$$$$###"""###$$$$$$$$$%%%%%%&&&&&&$$$$$$$$$%%%%%%&&&&&&'''&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$######"""""""""###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%###$$$%%%&&&%%%%%%$$$$$$###$$$&&&''''''&&&%%%$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&))))))(((((()))******+++'''''''''''''''''''''''')))))))))))))))(((''''''(((***+++***)))((()))***((((((((((((((((((((((((******)))))))))((((((((((((((((((((())))))))))))***++++++,,,,,,++++++***++++++,,,,,,,,,---------,,,---...///000000000000000000000000///...,,,,,,---------....../////////000000000000000000//////000000000000000000///...//////---,,,,,,---/////////000111222333333333333222222222111111000000000///222444444333111111222222333444444555555444444333444666777777777777777999999999999999999999:::;;;:::999777666444222111222222333444555666777888888888666555333111000//////////////////000111222111111111111000000//////........................------,,,---///000///...---------------,,,,,,,,,++++++++++++******+++,,,,,,+++***+++,,,------,,,+++******+++,,,---+++***''''''((())))))***))))))))))))))))))(((((((((((('''''''''((((((((())))))'''((()))******)))((('''))))))))))))((((((((((((''''''''''''''''''''''''%%%%%%%%%&&&'''((()))))))))((('''&&&%%%&&&'''(((&&&((())))))'''''''''((()))(((((('''''''''((((((&&&&&&&&&))),,,///000///))))))))))))))))))))))))&&&&&&&&&&&&''')))***+++***(((%%%$$$%%%&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%&&&''''''&&&&&&''''''&&&&&&%%%$$$''''''&&&&&&%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&'''''''''&&&%%%%%%$$$$$$%%%%%%&&&%%%&&&&&&''''''&&&&&&%%%!!!"""###$$$$$$%%%$$$$$$%%%%%%&&&&&&&&&%%%$$$$$$$$$$$$$$$%%%%%%&&&&&&'''%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%%%%%%%$$$######$$$$$$%%%%%%&&&'''''''''%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%#########$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%$$$&&&((((((&&&%%%&&&&&&$$$%%%%%%&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&''''''''''''(((((((((((()))***++++++)))))))))))))))))))))))))))))))))))))))(((''''''(((***+++***)))((()))***))))))))))))))))))))))))''''''''''''&&&&&&&&&&&&))))))))))))***************++++++,,,,,,++++++***++++++,,,,,,------......---...//////000000000000//////000000///...,,,+++------......///000000000111111000000000000//////000000000111111000000/////////............//////...///000111222333333333222222222222222222111111000222444444333222222333333333444555555555555555555666888999888888999:::<<<<<<<<<<<<;;;;;;;;;;;;;;;999777666666555333111000111222333444555666666888888666555333111000///////////////000000111222///000000111111000/////////////////////..................///000111///...,,,,,,------------,,,+++***+++,,,+++))))))+++,,,---+++******,,,---------+++***)))***++++++***((($$$%%%&&&''''''(((''''''))))))))))))((((((((((((******))))))((('''&&&&&&&&&'''((())))))******)))))))))))))))((((((((((((''''''''''''''''''''''''%%%&&&&&&&&&'''((((((((((((((('''&&&&&&&&&&&&&&&%%%'''))))))'''&&&''''''''''''&&&&&&''''''((()))&&&%%%&&&(((,,,000111111***************)))((((((&&&&&&&&&&&&''')))***+++***(((%%%$$$%%%&&&%%%$$$$$$$$$###"""""""""###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%&&&'''(((&&&&&&'''''''''&&&%%%$$$&&&&&&&&&%%%%%%%%%%%%$$$&&&%%%%%%%%%&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&''''''(((&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&&&&&&&&&&%%%%%%$$$%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%###$$$$$$%%%&&&&&&''''''%%%%%%%%%&&&&&&&&&&&&'''$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&''''''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%&&&&&&&&&((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%$$$$$$###$$$$$$%%%%%%&&&'''''''''&&&&&&&&&&&&&&&%%%%%%%%%'''&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&%%%###!!!!!!%%%(((%%%%%%%%%%%%%%%&&&''''''%%%%%%&&&&&&&&&&&&%%%%%%"""###$$$%%%&&&%%%$$$$$$######$$$%%%&&&''''''(((%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&%%%%%%%%%&&&&&&'''$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&'''((()))***)))))))))))))))))))))))))))))))))))))))(((''''''(((***+++***)))((()))***))))))))))))))))))))))))(((((((((''''''''''''&&&************++++++++++++***++++++,,,,,,++++++***++++++,,,,,,---......///...//////000000000//////***,,,---/////////...------......///000000111111111111111000000000/////////000000111111111000000......////////////......---...///111222333333333111111222222222222222222000222555555444333333444444444555666666666666555555777999999888777999;;;<<<<<<<<<;;;;;;:::::::::;;;999666555666666444222222333444555666666666777888777666555333222000000////////////000111222333...///000111111000//////000/////////.........---///......///000000...,,,+++,,,------------,,,+++)))+++,,,+++)))(((***---...,,,***+++,,,.........+++*********+++***((('''%%%&&&'''((())))))))))))(((((((((((())))))))))))******))))))((('''''''''((((((((((((((())))))***))))))))))))((((((((((((''''''''''''''''''''''''&&&&&&''''''''''''''''''((((((((((((((('''&&&&&&$$$&&&(((((('''&&&&&&&&&%%%%%%%%%%%%&&&'''))))))%%%%%%%%%(((---000222222,,,,,,++++++***((('''&&&&&&&&&&&&&&&((()))***+++***(((%%%$$$%%%&&&%%%$$$%%%###""" !!!###$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%&&&'''(((%%%&&&'''''''''&&&%%%$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''((((((&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$'''''''''(((''''''&&&&&&###$$$%%%%%%&&&&&&&&&&&&!!!!!!"""###$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&''''''$$$$$$&&&''''''&&&$$$$$$$$$$$$%%%%%%&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&%%%$$$$$$######$$$%%%&&&&&&'''''''''''''''&&&&&&%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%### ###(((&&&%%%%%%$$$%%%&&&((()))%%%&&&&&&''''''&&&&&&%%%!!!###%%%&&&&&&&&&$$$#########$$$%%%'''((())))))%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&%%%%%%%%%&&&&&&'''$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&######$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%&&&'''((()))'''''''''''''''''''''''')))))))))))))))(((((('''(((***+++***)))((()))***))))))))))))))))))))))))++++++++++++******************+++++++++,,,,,,,,,+++++++++,,,,,,+++++++++++++++,,,,,,---.../////////000000000000//////...'''(((+++...000000000///---......///000111111222222111111111000000/////////000000111111111000000---...///000000///...------...///000222222333333000000111111222222333333000333555666555444444555444555666666777777666666333666888777666555888:::::::::999999888777777777;;;888666555777777666444555666777888999999999999888777666555333222111000////////////000111333333......000111111000000////////////......---------///......///000///,,,******+++,,,---------,,,+++)))+++,,,+++((((((***---///---++++++---...///...,,,+++************(((&&&))))))***,,,,,,---------(((((((((((())))))))))))&&&''''''((()))******++++++***(((''''''((())))))))))))))))))(((((((((((('''''''''''''''''''''''''''''''''''''''&&&&&&&&&((()))*********)))'''&&&###%%%((((((&&&%%%%%%%%%######$$$$$$&&&''')))***'''###!!!%%%,,,222333111,,,+++))))))******(((''''''''''''(((((()))***+++...)))$$$###%%%&&&$$$!!!###$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$"""###$$$$$$%%%%%%$$$$$$)))((('''&&&%%%$$$$$$$$$((('''%%%###"""###%%%&&&(((&&&###$$$&&&((('''%%%((((((((((((((((((((((((******))))))((((((((('''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&)))(((&&&%%%$$$$$$%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&'''''''''&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&'''''''''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&'''(((((('''&&&%%%%%%&&&&&&''''''&&&&&&%%%&&&&&&$$$$$$$$$$$$&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$"""!!!"""######"""!!!%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%!!!###&&&%%%###"""%%%'''%%%&&&&&&''''''&&&&&&%%%$$$%%%%%%&&&'''''''''&&&&&&&&&&&&'''''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%$$$$$$%%%&&&'''(((((())))))))))))(((((()))((('''&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''###$$$%%%&&&&&&%%%$$$###%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%&&&'''((())))))''''''&&&&&&&&&&&&''''''%%%%%%&&&''''''&&&%%%%%%%%%&&&&&&'''((()))))))))************))))))((((((***************************++++++***((('''((()))(((((((((((()))***+++,,,(((***,,,------,,,+++************+++,,,---...///---.........//////000000000///...------,,,------111111000000///---,,,+++////////////............111111222222222222111000............////////////000000////////////000000///000111111222222222222222333444444555555444444444555777888999999999888000333666777555444555777:::999777666555666777888999999:::::::::999888888666666666666666666666666444555555444333000...---,,,---...//////000000///333333222111000///...---------------------------......---------,,,,,,,,,---,,,+++*********+++,,,+++,,,.../////////......---+++(((''''''))),,,///+++*********))))))((((((+++***)))))))))***,,,---+++***)))(((((()))***+++''''''''''''''''''''''''))))))))))))))))))))))))(((((((((((((((((((((((())))))(((((('''''''''&&&&&&&&&&&&&&&&&&'''((()))(((((((((((((((((((((((('''&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%&&&((()))+++,,,$$$######%%%(((,,,///000+++***)))))))))***((('''''''''''''''((()))***+++,,,'''######&&&'''&&&$$$$$$$$$%%%&&&&&&&&&%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$###$$$$$$%%%%%%%%%%%%%%%(((((('''&&&%%%%%%%%%%%%(((&&&$$$$$$$$$%%%&&&%%%(((&&&$$$$$$&&&''''''%%%&&&&&&&&&&&&&&&&&&&&&&&&(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%%%%%%%&&&'''%%%%%%&&&&&&&&&'''''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&''''''''''''''''''''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&'''(((((('''&&&%%%%%%&&&&&&''''''&&&&&&%%%&&&&&&%%%$$$$$$%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$######%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%(((((()))(((&&&%%%&&&&&&%%%&&&&&&''''''&&&&&&%%%$$$%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&%%%%%%&&&'''''''''(((((())))))(((((('''(((((('''&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''(((((((((((((((((('''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''((((((''''''&&&&&&&&&&&&''''''&&&&&&'''(((((('''&&&&&&(((((())))))***++++++,,,++++++*********)))))))))************************)))***+++***((((((((())),,,,,,,,,,,,,,,,,,------)))***,,,---------+++***,,,+++++++++,,,---......---........./////////000//////............////////////000000000///......////////////............/////////////////////........./////////000000000111000000000000000000111//////111222333333333333333333444444444444444333444555777888999888888777222444777777444333333555999888777555555666888999999999999999999888888777666666666666666666666666555555555444222111///...---...///000111222222222111111000000///...------------------------------.........---------,,,,,,...---,,,+++++++++,,,,,,+++,,,---......---,,,,,,,,,+++)))((((((***,,,...************)))))))))(((+++******)))***+++,,,---+++***))))))))))))***+++))))))))))))))))))))))))(((((((((((((((((((((((((((((((((((((((((((((((()))(((((((((''''''''''''(((''''''&&&&&&&&&'''''''''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&''')))***+++$$$&&&'''&&&&&&''',,,///***)))(((((())))))((('''''''''''''''((()))***+++)))&&&######&&&((((((&&&%%%%%%&&&&&&&&&%%%$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&&&&&&&&&&&&&((('''&&&&&&%%%%%%%%%%%%'''%%%###$$$'''((('''%%%(((&&&$$$%%%&&&'''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&'''$$$$$$$$$$$$%%%%%%%%%%%%'''&&&&&&&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$######&&&&&&%%%%%%%%%%%%$$$$$$&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%)))(((''''''(((((((((&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%((('''&&&&&&&&&&&&'''(((&&&''''''''''''''''''&&&((('''''''''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%$$$$$$&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&''''''''''''((())))))(((''''''))))))******++++++,,,,,,+++++++++***************************************)))***+++***)))((()))***...------------,,,,,,,,,***+++,,,---...---,,,,,,------,,,,,,,,,------................../////////000////////////000000111...//////000111111111111/////////............---......---------......////////////000000000111111000111111222222111111000//////111222333444444444333444444444444444333222555666777888888777666666444555666555333111111222555555444333333444666666999888888888777777777666666666666666666666666666777666444333111111000000...///000222333444444444/////////......---------------------------------...............---------......---,,,,,,,,,,,,---++++++,,,------,,,************))))))******+++,,,************))))))))))))***************+++,,,,,,******))))))))))))******************************((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''))))))(((&&&&&&%%%%%%%%%'''''''''''''''''''''''''''&&&&&&&&&&&&&&&'''''''''''''''''''''((())))))))))))((((((((())),,,...)))((('''((())))))(((''''''''''''''''''(((******)))'''%%%%%%'''((('''&&&&&&&&&&&&&&&%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&((('''&&&%%%%%%%%%%%%%%%&&&$$$###%%%)))***((($$$'''&&&%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$######$$$%%%&&&''''''(((''''''&&&%%%$$$$$$######&&&&&&%%%%%%%%%$$$$$$$$$&&&''''''''''''''''''&&&'''''''''&&&&&&%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&''''''''''''''''''''''''((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%&&&'''((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###!!! ###'''))))))'''%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&'''&&&&&&%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%''''''''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&%%%$$$######$$$%%%&&&(((((('''&&&%%%$$$$$$###'''&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&'''''''''''''''(((((('''''''''(((((((((((())))))******++++++++++++************************************)))***+++***)))((()))***,,,,,,++++++***)))((((((***+++,,,------...------......------,,,---------........................111111000/////////000000//////000111111111111111//////.........---------//////.........///000111000000000000111111111111///000111111111111000///...///111222444555555555333444444444444333222222555666777777777666555444444444444333222111111111000000000000111222333444888888777666666555555555555555555555555555555555777666444222111000111111...///000222333444444555//////..................,,,,,,,,,,,,,,,,,,,,,,,,........................------,,,,,,++++++++++++,,,,,,---------+++***)))))))))***+++++++++++++++*********))))))))))))))))))))))))))))))*********)))(((((((((((((((((()))************************((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((('''''''''(((((('''&&&&&&&&&&&&&&&'''''''''''''''''''''''''''&&&&&&&&&&&&''''''((()))(((((('''''''''((((((,,,(((%%%%%%))),,,,,,******)))(((((())))))((('''&&&&&&&&&&&&'''((()))******((('''&&&''''''&&&%%%&&&&&&&&&&&&%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&''''''&&&%%%%%%%%%&&&&&&%%%$$$###%%%((()))'''%%%&&&&&&&&&%%%%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&%%%$$$###"""(((((((((((())))))))))))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&'''(((((()))''''''&&&&&&%%%$$$######&&&&&&%%%%%%%%%$$$$$$$$$&&&''''''''''''''''''&&&'''''''''&&&&&&%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%((((((((((((((((((((((((&&&&&&&&&%%%%%%&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%!!!!!!%%%((('''%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&'''&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''''''''''''''&&&%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&'''((((((''''''&&&%%%%%%%%%&&&&&&&&&'''''')))((('''&&&&&&'''((()))(((((('''&&&&&&%%%$$$$$$&&&&&&&&&&&&&&&%%%%%%%%%''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((()))))))))************************************************((()))******)))((()))+++************)))'''&&&%%%******+++,,,---------......------,,,,,,,,,------...............---------222222000///............111111111111111000//////............------------...............///000000000000000000111111111111......////////////......//////111222333444444444222333333444333333222222444555666777666666444333222222111111222222222111......///000111333444555888777666444444333444444444444444444444444444444666555333111000000000111---...///111222333333333////////////////////////,,,,,,,,,,,,,,,,,,,,,,,,------..................++++++++++++******)))))),,,---......---,,,+++***((()))***+++,,,++++++***))))))))))))))))))******&&&''''''(((((((((((((((&&&''''''''''''''''''&&&((((((((((((((((((((((((''''''''''''''''''''''''))))))))))))))))))))))))'''''''''(((((((((((((((&&&&&&&&&&&&&&&'''((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&'''((()))))))))(((''''''''''''(((***%%% """(((,,,+++(((,,,+++))))))******((('''&&&&&&&&&&&&'''((()))***)))))))))((('''&&&%%%%%%%%%%%%&&&&&&&&&%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&&&&$$$%%%%%%%%%%%%%%%%%%&&&%%%&&&'''&&&%%%$$$&&&(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&''''''''''''''''''''''''''''''$$$%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%$$$###"""###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&''''''((((((''''''&&&&&&%%%%%%$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$######$$$&&&'''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&%%%$$$$$$%%%%%%$$$###%%%&&&&&&''''''&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%&&&'''((((((((('''&&&%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&&&&&&&''''''((((((''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&)))))))))))))))*********)))))))))))))))*********************************((()))******))))))***+++***+++,,,,,,+++)))'''&&&))))))******+++,,,---...,,,,,,+++++++++,,,,,,---.........---------------000///...------,,,,,,,,,111111111111000//////............------------,,,***+++,,,---.........---/////////000000000111111///......------......//////000111222222222222222111111222333333333333333333444555666666555444444222000//////111222222111...///000222444555777777888666444333222222222333333333333333333333333333333333222000000/////////---...///000111111111111000000000/////////......,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------------*********+++***))))))(((,,,,,,---......---,,,+++))))))***++++++++++++***))))))))))))************&&&&&&'''(((((((((((((((&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''))))))))))))))))))))))))'''''''''(((((((((((((((%%%%%%%%%&&&&&&((())))))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((()))))))))(((((('''''''''((((((&&&###"""###'''***,,,,,,///---+++***+++***(((&&&&&&&&&&&&&&&'''((())))))'''(((((((((((('''''''''$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&###$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%&&&&&&'''###%%%'''$$$!!! ###'''%%%''''''&&&$$$$$$&&&(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&''''''((($$$$$$$$$$$$$$$$$$$$$$$$"""###$$$%%%&&&%%%%%%$$$ !!!!!!!!!""""""%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%$$$$$$%%%&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%&&&'''(((((('''&&&%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$######$$$&&&''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%&&&&&&'''&&&$$$###$$$$$$%%%&&&&&&''''''&&&&&&%%%&&&&&&''''''&&&&&&%%%$$$%%%&&&&&&&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&%%%$$$$$$&&&&&&''''''''''''&&&&&&$$$%%%'''((()))((('''&&&%%%%%%%%%&&&&&&&&&''''''###$$$$$$%%%%%%$$$$$$###'''''''''''''''&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&'''''''''&&&&&&&&&&&&''''''((('''&&&%%%%%%&&&'''((()))(((((((((((((((((((((''''''((((((((()))))))))************************''')))******))))))***+++***+++,,,,,,,,,***((('''((((((((()))***+++------***************+++,,,---.........------,,,,,,,,,++++++***++++++,,,------......///000000000//////.........---------,,,,,,)))+++---///000///...---....../////////000000000111000...,,,,,,...000111///000000111111000000000///000111222333444444444111222444555666666555444444111......///000///...,,,---///111333555666777777666333111000000111222111111111111111111111111000000111000000///...---//////000000000000000///000000//////...---,,,,,,+++++++++++++++++++++++++++++++++,,,,,,,,,------******+++,,,+++***)))(((******,,,------,,,++++++)))************+++++++++((()))))))))************'''((()))*********))))))''''''((())))))(((''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''))))))))))))))))))))))))''''''''''''((((((((()))''''''&&&&&&&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((()))***(((((('''''''''(((((()))$$$%%%&&&&&&'''***...222111///,,,++++++***(((&&&&&&&&&&&&&&&&&&'''))))))$$$&&&((()))(((((()))***###$$$%%%%%%&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&######$$$%%%%%%%%%%%%$$$&&&&&&%%%%%%%%%&&&&&&'''###&&&((($$$"""(((%%%'''(((&&&$$$###&&&((($$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''(((((($$$$$$$$$$$$$$$$$$$$$$$$ """%%%&&&'''''''''$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&'''''''''&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$##################%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&'''''''''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%&&&'''(((((('''&&&%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###%%%'''(((((('''%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%!!!###&&&%%%###"""%%%'''%%%&&&&&&''''''&&&&&&%%%&&&'''''''''&&&%%%%%%$$$&&&&&&&&&'''''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%######%%%%%%%%%%%%######&&&''''''((((((''''''&&&$$$%%%'''))))))((('''&&&%%%%%%%%%&&&&&&&&&''''''%%%&&&((((((((((((&&&%%%&&&&&&&&&'''''''''''''''######$$$%%%%%%&&&'''''''''''''''&&&&&&''''''''')))((('''&&&&&&'''((()))&&&&&&&&&&&&&&&%%%%%%%%%&&&'''''''''(((((())))))************************''')))******))))))***,,,((()))+++++++++***(((''''''''''''((()))+++,,,---))))))))))))***+++,,,---.........------,,,,,,,,,''''''''')))***,,,...///+++,,,---///000000111111......---------,,,,,,,,,***---000333444222000...............////////////333111...,,,,,,...111333000000000000000///.........///000222333444555555000111333555666666555555666333///...//////---+++((()))+++...111222444444777666333111000000111111000000000000000000000000...///000000000...---,,,000111111111111000//////000000///...,,,+++******++++++++++++++++++++++++*********++++++,,,,,,,,,++++++,,,---,,,+++***)))((()))***+++,,,,,,+++*********))))))******+++,,,(((((())))))*********+++((()))***,,,,,,++++++***((()))***++++++***)))(((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''))))))))))))))))))))))))&&&'''''''''(((((()))))))))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''')))******'''''''''''''''((())))))&&&&&&'''&&&'''))),,,///000...,,,***)))((((((((('''%%%$$$&&&(((*********''''''(((((())))))******)))'''%%%######$$$&&&((('''&&&%%%%%%%%%%%%&&&'''%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&'''''''''(((''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&$$$$$$%%%%%%&&&'''''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&%%%%%%$$$######$$$%%%&&&'''&&&%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&''''''''''''((('''&&&%%%%%%$$$$$$$$$$$$'''&&&&&&%%%%%%&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$'''''''''''''''''''''''''''&&&%%%%%%%%%%%%&&&'''&&&&&&''''''''''''&&&&&&%%%$$$$$$######$$$$$$%%%(((((('''''''''&&&&&&&&&(((((('''&&&%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&''''''$$$%%%&&&'''((('''&&&%%%''''''((((((((((((''''''$$$%%%%%%&&&%%%$$$###"""%%%%%%&&&&&&'''(((((((((&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""###%%%&&&%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&'''&&&$$$######$$$&&&'''$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''(((((('''&&&%%%$$$$$$###%%%$$$"""!!!!!!"""$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&%%%%%%%%%%%%%%%&&&'''(((&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%&&&'''((()))%%%%%%%%%&&&&&&'''''''''''''''&&&&&&&&&&&&''''''(((((((((((((((((((((((((((((((((((())))))))))))((()))***+++++++++++++++((((((((((((((()))))))))))))))))))))))))))))))))++++++++++++++++++,,,,,,)))***+++,,,---,,,,,,+++------------------------222000...,,,,,,---000111........................++++++,,,---............+++,,,...000000000000///000000000000////////////---------...............222222111000...,,,***)))222222222222222111000///333444444444444444444333333333111000////////////111///---...222555666555222222000///...............---...000111111...,,,//////...//////000111222111000/////////111222333000...,,,,,,,,,+++***(((------......---+++***(((*********++++++,,,,,,,,,......---,,,,,,+++******''')))******))))))***,,,************************(((((((((((())))))))))))((()))***++++++***)))(((&&&&&&''''''((()))))))))))))))))))))))))))))))))''''''((((((((((((''''''((((((((((((((((((((((((''''''((((((((((((''''''&&&&&&&&&&&&''''''((((((((((((((((((''''''''''''''''''&&&&&&&&&&&&''''''((((((((((((''''''''''''&&&&&&'''&&&&&&(((,,,///111///---+++************((('''&&&''')))++++++***'''''''''((())))))*********(((&&&$$$$$$%%%&&&''''''&&&%%%%%%%%%%%%&&&'''%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&&&&&&&&&&&&&&&&(((''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&&&&%%%%%%$$$###$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&'''''''''''''''&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''''''''''''''''''''&&&%%%%%%%%%%%%&&&'''&&&''''''((((((''''''&&&%%%%%%$$$$$$$$$$$$%%%%%%(((((('''''''''&&&&&&&&&(((''''''&&&%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&''''''$$$%%%&&&&&&''''''&&&&&&&&&''''''((((((''''''&&&&&&%%%###"""!!!"""###$$$'''''''''''''''&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$(((&&&%%%%%%''''''&&&$$$&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((((((''''''$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%&&&&&&&&&''''''''''''''''''&&&&&&%%%%%%$$$'''&&&%%%$$$$$$%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&)))((('''&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%&&&'''((((((%%%%%%%%%&&&&&&'''''''''''''''&&&&&&&&&&&&'''''''''''''''''''''''''''''''''((((((((())))))))))))((()))***++++++++++++***...------,,,+++***)))((())))))))))))))))))))))))******++++++++++++,,,,,,((()))***+++++++++******------------------,,,,,,444222///,,,++++++,,,------------------------------------...------,,,,,,,,,---...///000000000///000000000000/////////...---------...//////000000222222111000///---,,,+++000111222333333444444333444444555555555555444444333222111000////////////000...---...111444444333222111000///..................///000222111...,,,.........//////000111222111000/////////000222333111///---,,,,,,,,,+++))),,,,,,,,,,,,+++***)))(((*********++++++,,,,,,,,,...------,,,++++++******((()))+++******)))+++,,,************************(((((((((((())))))))))))(((((()))******)))((((((((((((((((((((('''''''''((((((((((((((((((((((((''''''(((((((((((('''''''''''''''''''''''''''''''''''''''(((((('''''''''''''''''''''(((((())))))''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''&&&&&&''''''(((((())))))&&&&&&'''&&&&&&(((+++...111111000......---------***)))))))))+++,,,,,,+++&&&''''''(((((()))******+++***'''%%%%%%%%%&&&''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&%%%%%%(((''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&''''''&&&&&&%%%$$$$$$###%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&&&&&&&%%%$$$$$$%%%%%%$$$$$$%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&'''''''''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''''''''((((((((((((''''''&&&&&&&&&%%%%%%&&&&&&&&&'''''''''''''''&&&&&&&&&'''''''''&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&''''''%%%&&&&&&''''''&&&&&&%%%(((%%%!!! $$$&&&((((((''''''&&&%%%%%%$$$&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$)))'''&&&&&&&&&&&&%%%###&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&((())))))(((&&&%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&(((((('''''''''''''''((($$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&&&&''''''(((%%%%%%%%%%%%&&&&&&'''(((&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((()))))))))))))))******++++++******++++++***)))(((''''''&&&))))))))))))))))))))))))*********+++++++++,,,,,,(((((()))*********)))))),,,,,,,,,,,,,,,,,,,,,,,,222000...+++******++++++++++++++++++++++++++++++............---,,,+++***,,,---...///000000000///000000000/////////......,,,,,,---...///000000111111111111111000///...---///000222333555666777777444444555555555555444444222222111000/////////000///...---...000222222111222111000//////......//////...///111222222///---.........///000111111222000000000///000000111222222000---,,,,,,---,,,,,,,,,,,,+++***))))))))))))*********+++++++++++++++------,,,,,,++++++******(((***++++++))))))***,,,************************(((((((((((())))))))))))''''''((((((((((((''''''***))))))(((''''''&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&((((((((((((((()))))))))''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''$$$%%%&&&'''((()))******&&&&&&'''&&&&&&'''+++...000111444555555333000///---,,,+++,,,---...,,,+++&&&&&&''''''((())))))***,,,***((('''&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''''''''&&&&&&%%%%%%%%%(((''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&'''''''''&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&%%%%%%$$$&&&%%%$$$###$$$%%%&&&'''$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&%%%$$$$$$######$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((((())))))(((((('''''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%$$$%%%&&&'''((($$$%%%%%%&&&&&&%%%%%%$$$'''%%%""" """%%%''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$######%%%%%%$$$"""%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%%%%$$$###"""$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&'''''''''(((((((((%%%%%%%%%&&&&&&'''''''''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''((('''''''''###$$$$$$%%%''')))***+++$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''%%%%%%%%%%%%%%%&&&'''(((&&&&&&&&&'''''''''''''''''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((((())))))))))))************))))))&&&&&&&&&''''''(((((()))))))))))))))))))))))))))))))))******++++++,,,,,,))))))******************++++++++++++,,,,,,,,,,,,,,,+++*********+++---...,,,,,,,,,,,,,,,,,,,,,,,,---------...------,,,,,,---......///////////////000000/////////.........---------------.........//////000000000000000///...///111333555666666777333333444444444444333333111111000000000000000111///.........///000000000111111000////////////////////////111222222///---------...///000111111111000000000000000000111111333111...------......------,,,+++)))))))))***+++***************+++++++++,,,,,,,,,,,,++++++******((()))******(((((()))***************************(((((((((((())))))))))))''''''''''''''''''''''''))))))((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%''''''''''''((((((((((((''''''(((((((((((())))))''''''&&&&&&&&&&&&''''''%%%%%%&&&''''''((())))))&&&&&&&&&&&&%%%'''***---...222777:::;;;777333//////.........///...,,,***&&&&&&&&&'''(((((())))))+++***((('''&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''''''''&&&&&&%%%%%%%%%(((''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&&&&'''''''''((((((((()))%%%%%%%%%&&&&&&&&&''''''$$$%%%%%%&&&&&&%%%%%%%%%&&&%%%$$$###$$$%%%&&&'''$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&%%%%%%&&&''''''%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((((((''''''(((''''''&&&&&&''''''(((&&&'''''''''''''''''''''&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%$$$%%%&&&'''((($$$$$$%%%%%%%%%%%%$$$$$$%%%%%%$$$$$$$$$%%%%%%&&&%%%%%%%%%%%%&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###""""""###%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###"""!!!!!!"""###$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&'''''''''((($$$%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&'''((((((''''''""""""###$$$%%%''')))***&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%&&&''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((((((((((())))))*********))))))((((((((()))******+++,,,,,,(((((((((((((((((((((((((((((()))******+++,,,,,,++++++++++++++++++++++++*********+++++++++,,,,,,+++******)))***+++,,,---,,,,,,,,,,,,,,,,,,,,,,,,***+++,,,---...........................//////000////////////..................---,,,,,,+++++++++......///000000000000000//////000222222333333333000111111222222111111000111000000000000000111111000000111000000/////////111000000////////////000......///111222111///,,,,,,---...000111111111111000000111111111000000000333000...---...///.........---+++******+++,,,---************************,,,+++++++++++++++******'''((())))))'''&&&''')))))))))))))))))))))))))))(((((((((((())))))))))))''''''&&&&&&&&&&&&''''''''''''''''''(((((())))))''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&(((((()))))))))*********''''''&&&&&&&&&&&&'''''''''''''''''''''&&&&&&&&&&&&'''&&&%%%%%%&&&))),,,---111666:::;;;888444111111000///000000///,,,)))%%%&&&&&&''''''((())))))((((((''''''&&&'''''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&%%%%%%(((''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&%%%&&&&&&'''(((((())))))%%%%%%%%%&&&&&&&&&''''''$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%&&&&&&''''''''''''&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&''''''$$$%%%%%%&&&&&&%%%%%%$$$###$$$&&&'''((('''&&&%%%###$$$$$$%%%&&&&&&''''''$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$######%%%'''))))))(((%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%###""""""###%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&'''''''''&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&'''((((((((((((%%%%%%$$$$$$$$$$$$$$$%%%&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%&&&&&&'''((((((((('''''''''''''''''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((((())))))******))))))(((((())))))))))))((((((((('''(((((((((((((((((((((((('''(((((()))***+++,,,,,,---,,,++++++***+++++++++)))))))))******++++++,,,---,,,+++******)))))))))------------------------)))***+++---...///000000//////............///000/////////.........------......------,,,+++++++++------.../////////////////////000000000000000/////////000000000000//////000/////////000111222222222333444333111//////000000000////////////000000...---...000111111...,,,+++,,,...000222222222111000111111111111000//////111///......//////...,,,------,,,,,,,,,,,,,,,---***************)))))))))++++++++++++++++++******((()))***)))'''&&&'''((())))))))))))))))))))))))(((((((((((())))))))))))((('''&&&&&&&&&&&&'''(((&&&&&&''''''((())))))***''''''''''''''''''''''''((('''&&&%%%%%%&&&'''(((((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%((((((((())))))******+++''''''&&&&&&&&&&&&'''''''''''''''&&&&&&&&&%%%%%%&&&'''&&&%%%%%%&&&)))+++...///111333555555444444222111000000000...+++(((%%%%%%&&&''''''(((((()))&&&&&&&&&&&&&&&'''''''''%%%%%%&&&''''''&&&%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&&&&&&&&&&&&&&&&(((''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''###$$$%%%%%%&&&&&&&&&%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''((((((&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%'''&&&&&&&&&&&&&&&&&&'''&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%"""$$$%%%&&&'''&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%&&&$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$###%%%'''(((((('''$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%%%%%%%&&&%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&'''(((((((((((('''&&&%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&'''&&&&&&%%%%%%&&&&&&&&&)))((((((((('''''''''&&&''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&'''''''''(((((()))))))))))))))((((((''''''&&&&&&&&&&&&%%%%%%%%%((((((((((((((((((((((((''''''((()))***+++,,,,,,---,,,+++)))))))))***+++(((((())))))***++++++,,,---,,,,,,+++************++++++++++++++++++++++++***+++,,,---......///...000///...------...///000//////.........------------------....../////////,,,------............---......///000000000000/////////000000000000//////////////////000111222333444666888666333000000111000000////////////000000---,,,---///000000---******,,,...111222222222111000111111222111000///............///000000---++++++++++++,,,,,,,,,+++++++++*********)))))))))(((******************++++++***++++++***)))((((((***))))))))))))))))))))))))(((((((((((())))))))))))(((((('''&&&&&&'''(((((('''''''''(((((((((((((((((((((((((((((((((((((((((('''%%%$$$$$$%%%'''((())))))))))))))))))))))))'''''''''(((((('''''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&'''(((((())))))''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%$$$&&&)))+++///...------///111444666222111111111000...***'''%%%%%%&&&&&&'''(((((()))$$$$$$%%%&&&&&&'''''''''%%%%%%&&&''''''&&&%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&'''''''''(((((('''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&&&&%%%%%%$$$$$$######"""%%%%%%%%%&&&&&&&&&''''''###$$$%%%%%%&&&&&&&&&&&&###$$$%%%&&&'''&&&%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''((()))'''&&&&&&%%%%%%&&&&&&'''((((((((((((((((((((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$%%%&&&'''((('''&&&%%%%%%&&&&&&''''''&&&&&&%%%######$$$$$$%%%%%%%%%%%%'''&&&&&&%%%%%%$$$$$$###$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%#########%%%&&&%%%###$$$$$$$$$$$$$$$$$$$$$$$$###$$$&&&''''''&&&$$$###$$$$$$%%%%%%%%%&&&&&&&&&######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&"""######$$$$$$######"""&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&'''((((((((((((%%%%%%%%%%%%&&&&&&'''((($$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&))))))(((((('''''''''&&&'''''''''&&&&&&'''''''''((((((((((((((((((((((((&&&&&&&&&'''''''''(((((()))))))))))))))(((''''''&&&&&&'''((()))***+++,,,((((((((((((((((((((((((&&&'''((()))***+++,,,,,,,,,+++***((((((((()))***'''(((((()))***+++++++++))))))***+++,,,,,,------************************,,,,,,------...---------000///...------...///000//////.........---------,,,,,,---///000222333333,,,,,,---------------,,,------///000111111111111000000111111111111000000////////////000111333333555888:::888444111111222000000////////////000111,,,,,,,,,...//////,,,******+++...111222333222111000111222222222000///...,,,---...000111000,,,)))((()))+++,,,,,,+++***)))+++*********))))))((((((******************+++++++++------,,,***)))***+++))))))))))))))))))))))))(((((((((((()))))))))))))))((('''&&&&&&'''((())))))))))))(((''''''&&&&&&))))))))))))))))))))))))((('''%%%$$$$$$%%%'''((())))))))))))))))))))))))''''''((((((((((((''''''(((((('''''''''&&&&&&&&&$$$$$$%%%%%%&&&'''(((((('''''''''&&&&&&'''''''''###$$$$$$%%%&&&'''((((((((('''&&&%%%&&&(((***+++....../////////000111111333333222000...,,,***)))$$$$$$$$$%%%%%%&&&&&&&&&''''''((((((((((((''''''&&&&&&&&&&&&%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%'''''''''(((((((((((()))((('''%%%$$$###$$$%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''((((((''''''&&&&&&&&&%%%$$$$$$$$$%%%%%%''''''&&&%%%%%%%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%&&&'''((('''&&&%%%$$$$$$%%%&&&''''''''''''%%%%%%&&&'''&&&%%%###"""&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%&&&'''((((((((((((%%%%%%%%%&&&&&&'''''''''&&&&&&&&&''''''''''''(((%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%&&&''')))***''''''''''''''''''''''''%%%%%%%%%$$$$$$###############$$$$$$$$$%%%%%%%%%&&&'''''''''&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&"""$$$%%%$$$""""""###$$$$$$$$$&&&&&&&&&&&&$$$$$$###%%%&&&&&&&&&&&&'''))))))(((&&&%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$(((((('''''''''&&&&&&&&&%%%%%%&&&&&&'''(((((()))&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%&&&'''(((''''''''''''(((((())))))************))))))))))))(((((())))))*********+++(((((((((((())))))))))))***)))((((((((()))+++,,,---,,,***(((((()))***+++++++++******************************************,,,,,,+++******+++++++++,,,+++******+++,,,...///444333111000/////////000++++++,,,---.........---***++++++,,,,,,------...///......---------........................------......///000111222333333111111000000111333555666777666555444333222222222222333333444444333333222333111...---...///000000222222222000......///111////////////////////////---------.........//////+++++++++*********))))))((()))***++++++++++++++++++++++++*********))))))))))))))))))))))))))))))***)))(((''''''((()))***(((((('''(((((()))***+++))))))))))))))))))))))))))))))*********((('''&&&!!!"""$$$&&&'''((())))))###$$$&&&&&&%%%%%%%%%&&&'''((()))))))))((('''&&&(((((((((((((((((((((((('''''''''''''''''''''''''''''''''&&&&&&%%%%%%%%%+++)))'''&&&'''((('''&&&'''&&&&&&%%%%%%&&&&&&'''((('''&&&%%%&&&(((***+++......///000111111111111000000///---+++)))'''&&&%%%%%%%%%%%%%%%%%%%%%%%%'''(((((())))))(((((('''%%%&&&&&&&&&%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''((((((((('''&&&%%%$$$$$$$$$%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$$$$######&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&''''''((())))))((('''&&&&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&'''&&&&&&&&&%%%&&&&&&'''''''''''''''%%%%%%&&&'''&&&%%%$$$###&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%&&&'''''''''&&&$$$%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&'''%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%&&&&&&''''''&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%$$$###"""###%%%%%%&&&''''''''''''&&&%%%###%%%&&&&&&%%%%%%&&&((()))(((&&&%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&'''''''''''''''''''''''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%&&&''''''(((((((((((((((''''''&&&&&&&&&&&&%%%%%%%%%&&&&&&'''((((((((((((((((((((())))))((((((((((((''''''''''''((()))))))))************(((((())))))))))))******)))))))))))))))***++++++---,,,***)))((()))***+++************************************************------,,,,,,,,,,,,,,,---++++++++++++,,,---...///333222000///......//////,,,,,,---...............---,,,,,,,,,,,,,,,,,,,,,//////............//////.........///////////////.........///000000111111222111111222222333444444555555444333222222222222222222333555555666666666222///------///111222222222333222111///...000111////////////////////////---------.........//////,,,,,,+++++++++*********'''(((((())))))))))))(((+++++++++*********)))))))))))))))))))))))))))))))))((('''&&&&&&'''((())))))(((((((((((())))))***(((((((((((((((((((((((((((((()))******)))'''&&&''''''''''''&&&%%%$$$$$$!!!###$$$$$$%%%&&&'''###$$$%%%&&&'''&&&&&&%%%((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%((((((((((((''''''&&&&&&(((''''''&&&&&&''''''(((''''''&&&&&&'''(((***+++---...000222333222111000//////...,,,***(((&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$'''(((((())))))(((((('''%%%%%%&&&&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&'''(((******++++++***(((((('''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%&&&'''''''''''''''''''''&&&&&&%%%$$$%%%&&&&&&&&&%%%$$$###&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%%%%%%%%%%&&&$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###%%%&&&%%%$$$###$$$&&&&&&''''''((((((''''''&&&$$$%%%&&&&&&%%%$$$&&&'''((('''&&&%%%$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&((((((((((((((((((((((((&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&''''''((((((((('''''''''''''''&&&&&&&&&%%%&&&&&&'''((())))))((((((((((((((((((''''''''''''(((((((((((())))))))))))************)))))))))*********++++++((()))******++++++******---,,,***)))))))))***+++************************************************------------------------++++++,,,------......///111000///...............------.../////////............------,,,++++++***//////............//////.........//////000000111000000000111111111111111222333333444444333333333333333222222222222222333111222444666777888999999000///---...111333444444333333333222//////000111////////////////////////---............/////////------,,,,,,,,,+++++++++)))))))))***))))))((((((+++************)))))))))))))))))))))))))))))))))***)))(((''''''((()))******))))))(((((((((((()))((((((((((((((((((((((((&&&'''((()))***)))((('''((((((((('''&&&%%%######!!!###%%%&&&%%%%%%&&&'''!!!"""###%%%&&&&&&'''&&&((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&%%%%%%%%%&&&))),,,,,,)))'''''')))(((((((((''''''(((((((((''''''&&&&&&'''((()))***+++---000333444333111000111111000...,,,***((('''#########$$$$$$$$$%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%&&&'''((())),,,+++***(((''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%$$$###$$$%%%'''(((''''''''''''&&&%%%$$$###$$$%%%&&&&&&&&&%%%$$$###&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&'''&&&&&&%%%$$$$$$$$$$$$&&&&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&######$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$###$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###%%%&&&&&&%%%$$$%%%'''&&&&&&''''''''''''&&&&&&%%%&&&'''&&&%%%$$$%%%&&&'''&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$######$$$%%%%%%&&&&&&'''&&&&&&&&&&&&&&&%%%%%%%%%''''''&&&&&&&&&&&&''''''((((((((('''''''''''''''))))))))))))************)))))))))))))))*********))))))******++++++,,,,,,((()))***+++,,,+++***))),,,+++***)))))))))*********************+++++++++************************,,,,,,,,,---------------++++++,,,---............//////......------------......///////////////.........------,,,,,,,,,,,,------------------...///---------...///000111111555555444444444333333333222333444555555444222111111111111111111111222222222333444666777777888888111000//////222333444333333444444222000//////000////////////////////////.............../////////......---------,,,,,,,,,,,,,,,,,,,,,++++++***)))************))))))))))))))))))))))))))))))))))))+++***)))))))))***+++,,,******)))(((((('''((((((''''''''''''''''''''''''%%%&&&((()))))))))((((((###$$$%%%&&&'''''''''''')))***+++***'''%%%%%%%%%$$$$$$%%%&&&'''''''''(((((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&+++000///+++((())),,,((((((''''''''''''((((((&&&&&&&&&'''(((((()))***+++---000333444333222000222222111///---+++)))(((!!!!!!"""$$$%%%&&&'''((($$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%########################%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&%%%%%%%%%%%%%%%&&&***)))((('''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%$$$###$$$%%%&&&'''&&&&&&&&&%%%$$$###"""!!!###$$$%%%&&&&&&&&&%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&&&&''''''''''''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&''''''''''''%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&%%%%%%$$$$$$###%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%&&&%%%%%%$$$#########$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$&&&&&&%%%$$$&&&'''&&&%%%%%%%%%%%%%%%%%%&&&&&&'''((('''%%%$$$%%%&&&%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&######$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$######$$$%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&((()))))))))*********+++******))))))))))))))))))((())))))***++++++,,,,,,((()))+++,,,,,,,,,+++***+++++++++***************))))))*********+++++++++************************)))***+++,,,---,,,,,,,,,++++++,,,,,,---......///...............---------...///////////////......,,,,,,,,,------.........,,,,,,++++++,,,------...,,,,,,---...///000000000666666555555444444333333222333444555444333222111111111000000000111222222333333444555555555444444333111000000222222222000333444444333000......///////////////////////////////////////////////////.........---------,,,,,,,,,,,,,,,,,,,,,+++***))))))))))))))))))))))))))))))))))))))))))))))))))))))(((((('''((()))***+++******)))(((((('''((((((((((((((((((((((((((((((%%%&&&'''((())))))(((''' """###&&&''')))*********++++++***'''%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$***......***'''(((+++'''&&&&&&%%%%%%&&&&&&'''&&&&&&''''''((()))))))))***,,,...111222222111111000000///---+++)))'''&&&""""""###$$$&&&'''(((((($$$%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%&&&''''''''''''&&&%%%&&&&&&&&&''''''''''''%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$######'''&&&%%%$$$$$$$$$$$$$$$''''''&&&%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&&&&&&&%%%%%%###""""""###$$$%%%&&&&&&&&&%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&'''(((((('''''''''%%%%%%%%%%%%$$$$$$$$$$$$&&&&&&&&&'''''''''((((((%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&'''''''''%%%&&&&&&&&&&&&%%%%%%$$$""""""######$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&######$$$$$$$$$%%%%%%%%%###$$$$$$%%%%%%%%%%%%%%%#########$$$$$$%%%%%%&&&$$$$$$%%%%%%&&&&&&''''''$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""###%%%%%%$$$$$$&&&'''&&&%%%%%%$$$$$$%%%%%%&&&))))))***(((&&&%%%%%%&&&$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$%%%%%%&&&&&&'''''''''&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&''''''((((((((((((((())))))))))))(((''''''&&&'''''''''%%%%%%&&&&&&&&&'''''''''&&&&&&''''''(((((())))))************))))))))))))'''(((((()))***+++,,,,,,)))***++++++,,,+++++++++++++++++++++******)))))))))))))))***++++++,,,,,,************************((()))+++,,,---,,,,,,+++,,,+++******+++,,,...///---......///......------....../////////...------+++,,,,,,---......//////++++++++++++,,,---...///.........//////000000000444444333333222222111111111222222333333222222222222222111111111111111222222333333333333333222222333111000000111111000///222333444222000...------////////////////////////000000000////////////.........---------,,,,,,,,,*********+++******))))))(((((()))))))))))))))***))))))))))))))))))))))))&&&&&&%%%%%%%%%'''((()))***))))))(((((((((((()))))))))))))))))))))))))))%%%&&&'''((()))((('''&&&######%%%&&&'''((((((((($$$%%%''''''&&&%%%&&&'''&&&&&&%%%$$$$$$$$$$$$$$$((((((((((((((((((((((((''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&&&&'''###&&&))))))'''&&&&&&(((&&&&&&%%%%%%%%%%%%&&&&&&%%%&&&'''(((((()))))))))***+++---...000111111111//////...,,,***(((&&&%%%%%%&&&&&&&&&&&&'''''''''&&&&&&&&&''''''&&&&&&&&&###$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&$$$%%%'''((((((((('''&&&&&&&&&&&&&&&''''''''''''%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&%%%%%%%%%&&&&&&'''%%%%%%%%%%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$######$$$%%%%%%%%%%%%%%%''''''''''''&&&&&&%%%$$$###$$$%%%&&&'''&&&%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%&&&&&&''''''''''''&&&&&&&&&&&&%%%%%%%%%$$$%%%%%%&&&&&&&&&'''''''''%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&''''''(((%%%%%%&&&'''((('''&&&&&&!!!""""""###$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&######$$$$$$$$$%%%%%%%%%######$$$%%%%%%%%%%%%%%%"""######$$$%%%%%%&&&&&&$$$$$$%%%%%%&&&''''''((($$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%!!!"""$$$$$$###$$$%%%''''''&&&%%%%%%%%%%%%&&&'''***++++++***'''&&&&&&'''###$$$%%%%%%%%%%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%&&&&&&'''(((((()))'''''''''&&&&&&&&&&&&%%%%%%%%%%%%&&&''''''(((((('''((((((((()))))))))***))))))((('''''''''''''''%%%&&&&&&'''((()))******&&&&&&&&&'''((()))))))))************)))))))))(((&&&''''''(((***++++++,,,+++*********++++++,,,,,,+++++++++++++++***))))))((())))))***++++++,,,,,,************************((()))+++---......---,,,,,,+++)))'''(((+++...000---...////////////...---...............---,,,,,,---------...............------------...///000000111111111111111111111111333333222222222222222222000000000000111222222333444333222111111111111111111111222333333444333333000//////000111222000///111222333222///,,,++++++////////////////////////000000000000/////////...------------,,,,,,,,,+++))))))***+++++++++******(((((((((((())))))******))))))))))))))))))))))))'''&&&&&&&&&&&&((()))***)))(((((((((((())))))***************************&&&'''((((((((('''&&&%%%$$$$$$%%%&&&''''''''''''"""$$$&&&&&&%%%%%%&&&'''&&&%%%%%%$$$$$$%%%&&&'''((((((((((((((((((((((((((((((((((((((((((((((((%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&'''''''''((((((''''''&&&&&&&&&&&&''''''%%%&&&'''((())))))))))))***++++++---...000111222000///...---+++)))'''%%%))))))((('''&&&&&&%%%%%%''''''((((((((((((''''''###$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''$$$%%%'''(((((((((''''''&&&&&&&&&'''''''''((((((%%%%%%%%%&&&&&&'''''''''''''''''''''''''''''''''(((((())))))))))))((((((%%%%%%%%%&&&'''((()))***%%%%%%%%%%%%&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$"""###$$$%%%&&&%%%$$$$$$((((((((()))(((((('''&&&######%%%&&&'''&&&&&&%%%&&&%%%%%%$$$$$$%%%%%%&&&"""###$$$%%%&&&''''''''''''''''''&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&'''(((((($$$%%%'''((()))(((''''''######$$$%%%&&&&&&''''''#########$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%"""###$$$%%%%%%%%%%%%%%%""""""###$$$%%%%%%&&&&&&$$$$$$%%%%%%&&&'''(((((($$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&& """############%%%&&&((('''&&&%%%%%%&&&'''(((,,,,,,---+++(((&&&&&&'''"""###%%%%%%&&&%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$%%%%%%&&&'''(((((((((((('''''''''&&&&&&&&&%%%%%%&&&''''''(((((()))%%%&&&&&&&&&''''''(((((())))))((('''''''''''''''&&&'''((()))***+++,,,---'''(((((()))***++++++,,,+++*********))))))((((((%%%&&&'''((()))***++++++,,,+++***)))***+++,,,---***++++++++++++***))))))((())))))***++++++,,,,,,************************)))***---/////////...------***'''&&&&&&)))---000---...///000000000......---.........---,,,,,,+++/////////...------,,,,,,.........//////111222222444444333333333333333333444444444444444444444444000///......///111333444555444333222111111111111///000111333444555666666---------///111222111000000111222111...,,,+++***////////////////////////111111000000/////////...------,,,,,,,,,+++++++++***+++,,,---------------'''((((((((())))))******))))))))))))))))))))))))***)))))))))***+++---...(((((('''(((((()))***+++************************''''''((((((((('''%%%$$$"""###$$$&&&'''((((((((('''((()))(((&&&%%%%%%&&&'''&&&&&&&&&''')))+++,,,(((((((((((((((((((((((())))))))))))))))))))))))%%%%%%%%%&&&&&&'''''''''***)))'''(((***++++++***((((((''''''''''''(((((()))(((((('''''''''((((((************+++,,,---...,,,,,,,,,+++***)))((((((''''''''''''''''''''''''((((((((('''&&&&&&&&&%%%(((''''''''''''&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&%%%$$$$$$%%%%%%%%%((('''%%%$$$######$$$%%%&&&&&&''''''%%%### &&&&&&%%%%%%%%%$$$$$$$$$######$$$%%%%%%&&&&&&'''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$'''''''''&&&&&&'''''''''%%%%%%$$$###$$$%%%&&&'''(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&$$$###%%%&&&&&&''''''&&&&&&%%%((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&'''$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$###""""""&&&&&&&&&%%%%%%$$$$$$$$$""""""""""""""""""""""""$$$###############$$$$$$'''$$$!!! ###$$$$$$"""'''&&&$$$$$$$$$%%%'''))))))((('''&&&%%%$$$$$$$$$'''&&&%%%%%%$$$$$$%%%%%%###$$$%%%%%%&&&&&&%%%%%%&&&'''''''''&&&%%%%%%$$$"""###%%%&&&'''&&&%%%%%%########################&&&$$$######$$$%%%$$$###"""""""""###$$$%%%&&&'''$$$%%%&&&'''(((***++++++''''''((((((((((((''''''(((''''''&&&&&&((()))***&&&'''((())))))((('''&&&))))))(((((('''''''''&&&)))************))))))((())))))((('''''''''''''''(((((((((((())))))))))))******+++++++++,,,,,,,,,---,,,***(((((()))+++,,,******+++++++++,,,,,,,,,,,,+++)))(((((()))+++,,,***+++,,,---...............------,,,,,,------......///000222222222111000///......------///000111///000111111111000...---////////////000111222333444333222222111111222222000000000000000///......******+++,,,...111444666333333333333222222111000444333222222111111222222111222222333333222222222222222222111...------...000000000000///...---,,,//////...------------...,,,,,,+++---...///---,,,+++,,,,,,------,,,,,,+++******))))))((((((''''''))))))))))))************%%%'''((((((''''''(((***++++++************++++++)))))))))***+++++++++,,,%%%'''******)))''''''''''''&&&%%%&&&(((((('''&&&''''''''''''''''''''''''$$$$$$$$$%%%''')))***+++''''''''''''''''''''''''************)))(((&&&&&&&&&&&&%%%$$$############))))))(((((('''''''''&&&***)))'''&&&%%%&&&''''''((((((''''''''''''(((((()))))))))***+++,,,,,,,,,++++++++++++***)))(((''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&(((''''''''''''&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%'''&&&&&&%%%%%%&&&&&&&&&(((((('''&&&&&&&&&''''''((('''&&&%%%$$$$$$######''''''''''''&&&&&&&&&&&&%%%%%%&&&''''''(((((()))''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$%%%%%%&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&''''''''''''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$'''&&&&&&%%%%%%&&&&&&'''%%%%%%$$$$$$$$$%%%&&&'''((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&%%%######%%%&&&&&&''''''&&&&&&%%%((('''&&&%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%&&&&&&'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$#########&&&&&&&&&%%%%%%$$$$$$$$$########################%%%%%%$$$###"""""""""###%%%###!!!###&&&((('''&&&%%%$$$$$$###$$$%%%&&&'''(((((('''%%%%%%$$$$$$%%%&&&&&&%%%$$$$$$$$$$$$%%%###$$$%%%%%%&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%$$$&&&&&&''''''((('''''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""###%%%'''''''''%%%%%%%%%%%%&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((('''''''''(((''''''&&&'''((()))***''''''(((((((((((('''''')))((((((((('''''''''&&&((())))))*********))))))))))))(((''''''''''''((((((((((((((()))))))))*********+++++++++,,,,,,,,,...---+++***))))))))))))*********+++++++++,,,,,,,,,+++)))(((((()))+++,,,***+++,,,---............------,,,,,,,,,,,,------111111111000000...------...------,,,---...///000///////////////...------/////////000000111222333333333222111111111111222000111111111000///......------------///000222444333444444444444444333222444333222222111111222222111111111111111111000000111111222000...,,,,,,---///////////////......---//////......---------......------...000111///...+++,,,,,,------,,,,,,++++++*********))))))))))))(((((()))))))))*********'''((())))))(((((()))++++++******))))))******+++******************++++++%%%'''******)))'''''''''((('''&&&&&&(((((('''&&&''''''''''''''''''''''''&&&&&&&&&&&&''''''((()))'''''''''''''''''''''''')))))))))(((((('''&&&%%%%%%%%%$$$$$$$$$%%%%%%&&&)))((((((((('''''''''&&&&&&%%%$$$#########$$$$$$((((((''''''''''''(((((('''((()))***++++++*********++++++******)))((('''''''''''''''''''''''''''&&&&&&&&&'''''''''''''''(((''''''''''''&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%''''''&&&&&&&&&&&&''''''&&&&&&''''''(((''''''''')))(((&&&$$$$$$%%%&&&'''))))))((((((((('''''''''%%%%%%&&&''''''(((((()))''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''$$$$$$%%%%%%%%%%%%&&&&&&'''&&&&&&&&&&&&%%%%%%%%%''''''((((((((((((''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%$$$$$$$$$%%%&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%$$$######%%%&&&&&&''''''&&&&&&%%%''''''&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&&&&&&&%%%%%%''''''((((((((((((''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###############$$$$$$&&&%%%%%%&&&((()))'''&&&############$$$$$$$$$$$$((('''&&&%%%%%%$$$$$$%%%&&&&&&%%%$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%(((((('''&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&$$$###$$$&&&''''''&&&&&&&&&&&&&&&&&&'''''''''$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&''''''((()))((((((''''''''''''(((((((((((((((''''''''''''''''''(((((()))***************)))((((((''''''((((((((((((((()))))))))************+++++++++,,,,,,,,,...------,,,***)))''''''*********++++++++++++,,,,,,+++***))))))***+++,,,***+++,,,------.........,,,,,,++++++++++++,,,,,,000///...------,,,,,,---------,,,,,,------...///222222111000000000111111/////////000111111222222333222222111111111111111111111111111000///...---///////////////000111222444444555555666666555555444333222222111111222222000000000000000///......///000000///---+++,,,,,,---......////////////////////////.........------...------...000000///...++++++,,,,,,,,,,,,++++++++++++++++++************(((((())))))))))))******((()))******))))))***++++++******))))))******+++******************))))))&&&(((******)))''''''(((((('''&&&&&&(((((('''&&&''''''''''''''''''''''''((((((''''''&&&''''''''''''''''''''''''''''''''''''((((((((('''&&&%%%$$$%%%$$$$$$%%%&&&'''((((((((((((((('''''''''''''''(((((('''&&&&&&&&&&&&'''(((''''''''''''(((((()))%%%''')))***+++***)))((())))))******)))(((((('''''''''''''''''''''''''''%%%&&&&&&&&&'''((((((((((((''''''''''''&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&%%%%%%%%%%%%&&&''''''"""###%%%&&&'''&&&%%%%%%'''&&&%%%$$$$$$%%%&&&'''((((((((((((''''''''''''######$$$%%%%%%&&&&&&'''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$$$$%%%&&&&&&''''''&&&&&&%%%'''&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%"""###%%%''''''&&&%%%$$$''''''((((((''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%!!!!!!!!!"""###%%%&&&''')))((()))((((((&&&###""""""###$$$$$$%%%%%%$$$$$$'''&&&&&&%%%$$$$$$$$$%%%&&&%%%%%%$$$###$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%%%%&&&&&&'''&&&&&&%%%%%%((('''%%%$$$######$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&+++)))&&&%%%%%%%%%$$$"""%%%%%%%%%%%%%%%%%%$$$$$$!!!!!!"""$$$%%%&&&'''(((&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&''''''(((((()))((('''&&&&&&'''((()))''''''''''''''''''''''''&&&'''((()))***************))))))((('''((((((((((((((()))))))))***************+++++++++,,,,,,,,,+++,,,------,,,***((('''************++++++++++++++++++***))))))***++++++******+++,,,------------,,,++++++******++++++,,,++++++******+++---///000------------......//////222111000/////////111111//////000111111111111111222222111000000000000000111111222111000///......000000000000111111222222333333444555666666666555333333222111111111111222000000000000000///...---...//////...,,,++++++,,,,,,---...///000000000000///////////////......---,,,++++++,,,......---+++++++++,,,,,,,,,,,,++++++************************(((((((((((()))))))))***((()))******(((((()))*********))))))))))))******++++++******))))))((((((&&&(((******)))'''(((((()))(((''''''(((((('''&&&''''''''''''''''''''''''((((((''''''''''''(((((('''''''''''''''''''''''''''(((((((((''''''&&&%%%&&&&&&&&&&&&&&&'''((((((''''''''''''''''''''''''))))))(((((((((((((((((('''''''''''''''((())))))%%%''')))******)))((('''(((((()))))))))(((''''''''''''''''''''''''''''''%%%&&&&&&&&&'''((((((((((((''''''''''''&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%$$$$$$######$$$%%%%%%&&&"""###%%%&&&'''&&&%%%%%%"""###%%%&&&&&&%%%$$$$$$'''''''''&&&&&&&&&%%%%%%######$$$%%%%%%&&&&&&'''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$######$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&%%%%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%"""###%%%''''''&&&%%%$$$%%%&&&&&&&&&%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&)))(((((('''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########"""######$$$%%%''''''((((((&&&$$$"""!!!######$$$%%%&&&%%%%%%%%%&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%$$$############$$$###$$$%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&'''&&&&&&%%%((('''%%%$$$######$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&+++)))&&&%%%%%%%%%$$$"""%%%%%%&&&&&&&&&%%%$$$$$$"""###$$$%%%&&&'''((()))'''&&&%%%%%%%%%%%%&&&'''%%%&&&&&&''''''''''''''')))((('''&&&&&&'''((()))&&&&&&&&&'''''''''''''''%%%&&&'''))))))***************)))((((((((((((((())))))))))))******************+++++++++,,,,,,,,,(((***,,,......---+++)))))))))*********++++++++++++******************+++)))***+++,,,------------,,,++++++******++++++,,,******)))***+++---///000.../////////000000000000...---,,,++++++,,,.../////////000111111111111000222111000000//////000000111111111111111000000//////000111222222333444444111222333444444444444444222222111000000000000111000000111111000//////...---...///...,,,++++++,,,+++,,,---///000000000000//////000000000///...---+++******+++---...,,,+++***++++++,,,,,,++++++***))))))))))))))))))))))))'''(((((((((((()))))))))'''((())))))''''''''')))***))))))))))))))))))***+++******))))))(((((((((''')))******((((((((()))***(((''''''(((((('''&&&'''''''''''''''''''''''''''''''''''''''(((******(((((((((((((((((((((((((((((()))))))))((('''''')))(((''''''&&&&&&&&&'''&&&&&&&&&'''''''''''''''%%%%%%%%%&&&&&&&&&%%%%%%''''''&&&''''''((()))***'''((()))******)))((('''''''''((((((((((((''''''''''''''''''''''''''''''&&&&&&&&&'''''''''''''''(((''''''''''''&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%###""""""######$$$%%%&&&&&&&&&''''''((('''''''''!!!###%%%&&&&&&%%%###"""&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&''''''(((((()))''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&'''$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%$$$$$$######$$$$$$%%%###$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&'''(((%%%&&&&&&''''''&&&&&&%%%&&&&&&%%%%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&&&&&&&%%%%%%$$$$$$%%%$$$$$$###"""!!!%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$$$$$$$$$$###$$$$$$%%%%%%&&&&&&'''***))))))(((&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%((('''%%%###"""!!! """###%%%%%%%%%$$$%%%&&&$$$$$$$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$##################$$$%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&&&&(((((('''&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$###$$$&&&''''''&&&&&&'''((())))))((('''&&&''''''''''''''''''''''''((('''&&&%%%%%%&&&'''(((%%%%%%&&&''''''''''''&&&((((((''''''''''''((((((&&&&&&&&&&&&&&&'''''''''&&&''''''((())))))))))))+++***))))))(((((()))))))))))))))*********++++++******+++++++++,,,,,,,,,((()))+++---...---,,,+++)))))))))************+++************************)))***+++,,,,,,---------,,,,,,++++++++++++,,,,,,------,,,,,,,,,,,,------//////000111111111111000000000//////000000111111///000111222222111000///111000000//////////////////000111111222222111111000000222333444444444444111111222222333222222222111000000///...///////////////000000000000//////---...///...,,,+++,,,---,,,---...///000000000000//////000111000///...------,,,,,,---//////...---******++++++++++++******((((((((((((((()))))))))''''''(((((((((((())))))'''((()))((('''&&&'''(((***))))))(((((())))))***))))))))))))))))))((((((((()))******(((((()))***+++)))(((((((((((('''&&&''''''''''''''''''''''''''''''''''''((()))***+++((((((((((((((((((((((((((()))))))))))))))(((((())))))(((&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&'''''''''%%%&&&'''(((((((((''''''&&&&&&&&&''''''((()))***))))))))))))))))))))))))&&&''''''((((((''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&(((''''''''''''&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%############$$$%%%&&&'''(((((('''&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&''''''(((((()))''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%$$$$$$$$$$$$%%%%%%###$$$%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$%%%''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$###"""!!! %%%%%%%%%%%%%%%%%%%%%%%%"""#########$$$$$$$$$$$$######$$$%%%%%%&&&''''''''''''&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$###""""""""""""!!!###%%%$$$###$$$&&&)))$$$######""""""$$$%%%&&&%%%$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$##################$$$%%%%%%&&&&&&%%%%%%$$$%%%&&&&&&''''''&&&&&&&&&&&&''''''((('''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$###"""###%%%'''''''''$$$&&&((()))***)))((('''&&&&&&&&&&&&&&&&&&&&&&&&)))(((&&&%%%%%%&&&((()))$$$%%%&&&'''''''''&&&&&&''''''((((((((((((''''''%%%%%%%%%&&&&&&'''''''''''''''((((((((((((((('''+++***))))))(((((())))))))))))*********+++++++++******+++++++++,,,,,,,,,***+++,,,---------,,,+++))))))))))))*********************++++++*********)))***+++,,,,,,---,,,,,,------,,,,,,,,,,,,------------...............---......000111111111000///111111222333333333333333///000111222222111000...000000///............///...///000111222333333333222333444555555444333222222222222222222222111000//////...------------...,,,---...///////////////---...///...---,,,---...------...///000000//////...///111111111000...------,,,,,,---//////...,,,******++++++++++++******(((((()))))))))*********'''''''''((((((((())))))((()))***)))'''&&&'''((())))))(((((((((((())))))((((((((())))))))))))))))))******)))(((((()))++++++***(((((())))))'''%%%'''''''''''''''''''''''')))((((((((((((((())))))((((((((((((((((((((((((''''''(((((()))(((((('''''''''&&&&&&%%%&&&&&&&&&%%%%%%%%%&&&&&&''''''''''''((()))***+++******)))&&&&&&&&&'''''')))******+++***))))))))))))******&&&&&&''''''(((''''''&&&''''''''''''''''''''''''(((((((((''''''&&&&&&%%%(((((('''''''''&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%&&&'''(((((('''%%%$$$###$$$$$$%%%)))(((&&&$$$$$$%%%&&&'''&&&&&&%%%%%%%%%$$$$$$$$$######$$$%%%%%%&&&&&&'''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&'''''''''%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&###$$$%%%&&&'''&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$&&&'''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&'''%%%%%%%%%$$$###"""!!! %%%%%%%%%%%%%%%%%%%%%%%%""""""######$$$$$$$$$$$$######$$$%%%%%%&&&''''''######$$$$$$$$$$$$%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!!!!"""###%%%&&&'''%%%&&&'''%%%""""""%%%((($$$###!!! """$$$%%%$$$$$$$$$###$$$$$$%%%%%%%%%$$$$$$###"""#########$$$$$$%%%&&&&&&&&&%%%%%%$$$%%%%%%&&&'''''''''&&&"""###%%%&&&'''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&$$$######$$$%%%$$$###"""###%%%'''(((((('''&&&######$$$%%%'''((())))))***)))'''&&&&&&''')))***$$$%%%&&&'''''''''&&&%%%&&&'''((())))))((('''&&&%%%%%%%%%&&&&&&''''''''''''(((((((((((((((''''''+++******))))))))))))))))))************+++++++++******+++++++++,,,,,,,,,------------,,,++++++***))))))))))))******************++++++++++++******))))))***+++,,,,,,,,,,,,...------,,,,,,------...***+++---000111222111111,,,---///000000000///...+++,,,---/////////...---///000111222222111///...000000///...............---...///111333444444444555555666666555333111000333333333333222222111000......---,,,,,,,,,,,,---******,,,---.../////////---/////////---,,,---...---...//////////////////...///111222111000...---+++******+++------,,,*********++++++++++++******))))))******+++++++++,,,''''''''''''((((((((()))***++++++***)))(((((()))))))))(((((((((((())))))''''''(((((())))))******)))******)))(((((()))+++,,,***(((((())))))'''%%%''''''''''''''''''''''''+++***)))(((''''''''''''))))))))))))))))))))))))&&&&&&'''''''''''''''&&&%%%%%%%%%%%%%%%&&&'''(((%%%%%%%%%&&&&&&'''''''''$$$%%%&&&((((((((('''&&&+++)))((('''((()))+++,,,---***'''''')))+++)))'''%%%$$$###%%%((()))(((%%%(((''''''&&&&&&&&&''''''''''''((((((''''''&&&%%%(((((('''''''''&&&&&&&&&)))((('''&&&%%%$$$$$$$$$$$$%%%&&&&&&$$$$$$%%%&&&$$$$$$$$$$$$%%%%%%&&&'''''''''&&&%%%%%%$$$######$$$$$$%%%%%%%%%%%%&&&&&&'''&&&%%%%%%%%%%%%&&&'''$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''((((((((((((((('''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$######$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$############$$$$$$%%%%%%$$$$$$###$$$$$$%%%&&&''''''''''''%%%&&&'''(((((('''&&&%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%+++)))'''$$$###$$$%%%&&&'''''''''&&&%%%$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$#########$$$'''''''''&&&&&&'''''''''###$$$%%%$$$"""""""""###%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&$$$$$$$$$$$$&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%''''''$$$"""$$$'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$%%%&&&'''((((((((('''''''''(((((()))%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''')))###%%%((('''###''''''((((((((((((''''''###$$$&&&((())))))((((((((((((((((((((((((((((((+++***)))'''''''''((()))))))))))))))((((((((((((******+++++++++,,,,,,,,,++++++++++++++++++++++++)))******++++++******)))******+++++++++******)))++++++******))))))((((((------------,,,,,,+++***///............///000000////////////..................///000000000000000111000///111444444222///000000///...---,,,++++++222222222222111111111000333333333222222222111111000111333333222000---+++111000...---,,,,,,------+++,,,...///000///...---.........------,,,,,,,,,///...------------...///------------------------***++++++,,,------------******************************))))))))))))*********)))(((((((((((())))))***)))(((''''''''''''''')))))))))))))))******+++((((((((((((((()))******)))))))))***++++++,,,,,,...)))%%%%%%)))+++***(((%%%%%%%%%&&&&&&&&&''''''))))))))))))))))))))))))(((((((((((())))))))))))''''''&&&&&&&&&&&&''''''((((((((((((((((((((((((%%%%%%%%%&&&&&&&&&'''''''''&&&&&&''')))***)))((()))((('''&&&'''(((***+++***)))'''(((***+++***((('''%%%%%%'''***+++)))'''(((''''''&&&&&&&&&''''''''''''((((((''''''&&&%%%(((((('''''''''&&&&&&&&&((('''&&&&&&%%%%%%%%%%%%$$$%%%&&&&&&$$$$$$%%%&&&&&&&&&%%%%%%%%%&&&'''(((''''''&&&%%%%%%$$$######$$$$$$%%%%%%%%%%%%&&&&&&'''&&&%%%%%%%%%%%%&&&'''$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''((((((((((((''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$############$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$###$$$%%%&&&&&&''''''&&&&&&&&&'''(((((('''&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%((('''&&&%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%###"""%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%$$$$$$######$$$$$$&&&%%%%%%%%%%%%%%%%%%&&&$$$%%%&&&%%%#########$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$$$$###%%%''''''%%%$$$%%%(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&''''''(((''''''&&&''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''((($$$!!!!!!%%%''''''%%%&&&&&&''''''''''''&&&&&&$$$%%%&&&(((((((((''''''((((((((((((((((((((((((+++***)))(((''''''((()))))))))))))))((((((((((((*********+++++++++,,,,,,+++++++++++++++++++++++++++++++++,,,,,,+++++++++******+++++++++******)))++++++++++++************,,,,,,------,,,,,,+++***,,,,,,,,,,,,,,,------...////////////.........---......///000000000000///000//////111444444222///000000000000////////////......///000222333444444333333222222222111111111...000111222222000---,,,//////---,,,++++++,,,,,,------,,,,,,------.........---------,,,,,,,,,,,,------------------------,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,---,,,,,,,,,******************************))))))))))))******))))))(((((((((((()))))))))((((((''''''''''''((())))))(((((())))))***+++((((((((((((((()))******)))))))))************+++)))$$$!!!!!!$$$'''&&&$$$%%%%%%&&&&&&''''''''''''(((((((((((((((((((((((('''''''''((((((((())))))''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%&&&((())))))(((((('''&&&%%%&&&'''((()))((('''(((***,,,,,,+++)))(((((((((***,,,,,,+++)))''''''&&&&&&&&&''''''(((''''''((((((''''''&&&%%%'''''''''''''''&&&&&&&&&'''&&&&&&%%%%%%%%%&&&&&&$$$%%%&&&&&&$$$$$$%%%&&&((('''%%%$$$%%%&&&((()))'''&&&&&&%%%%%%$$$$$$###$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$############$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$"""###$$$%%%&&&&&&&&&&&&&&&&&&'''(((((('''&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$###$$$&&&''''''&&&$$$###%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%$$$$$$######$$$$$$$$$$$$############$$$$$$%%%&&&'''&&&$$$###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%$$$$$$$$$$$$"""$$$&&&'''&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''$$$%%%&&&&&&''''''&&&&&&''''''&&&&&&&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''&&&%%%$$$%%%&&&'''(((%%%&&&&&&''''''&&&&&&%%%&&&&&&''''''(((''''''&&&((((((((((((((((((((((((***))))))(((((((((((()))(((((((((((())))))))))))*********++++++++++++,,,++++++++++++++++++++++++(((((())))))))))))(((((()))******+++++++++******+++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,++++++***,,,,,,++++++,,,,,,---...//////.........------------...//////000/////////000///000111333333111///000111111111222222333333------...000111333444444333222222222222111111111---...000111111000...---...---,,,+++************...---+++))))))***,,,---------,,,,,,,,,,,,,,,+++,,,,,,............,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++******************************))))))(((((())))))***((((((((((((((()))))))))(((''''''''''''(((((()))))))))(((((())))))***+++((((((((((((((()))************))))))))))))((((((+++((($$$%%%''')))((('''&&&''''''''''''(((((((((''''''''''''''''''''''''&&&&&&&&&'''''''''((((((''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&%%%$$$%%%''')))((('''''''''&&&&&&&&&'''((()))'''(((***,,,......---,,,)))***+++,,,---,,,+++)))'''&&&&&&&&&&&&'''(((((('''''''''(((''''''&&&%%%''''''''''''''''''''''''&&&&&&%%%%%%%%%&&&''''''$$$%%%&&&&&&$$$$$$%%%&&&((('''%%%######%%%'''(((&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&'''''''''''''''(((######$$$%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%$$$""""""###$$$%%%%%%%%%%%%&&&''''''''''''''''''&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%!!!"""$$$&&&&&&%%%$$$###!!!###%%%'''((('''%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$###$$$$$$%%%$$$$$$############$$$$$$%%%&&&&&&&&&$$$###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$!!!$$$&&&%%%%%%''''''%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''$$$%%%&&&'''((('''&&&%%%''''''&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%'''((('''%%%%%%'''***&&&''''''''''''''''''&&&''''''''''''''''''&&&&&&(((((((((((((((((((((((()))))))))(((((((((((()))(((((((((((())))))))))))************++++++++++++***+++++++++++++++,,,,,,))))))))))))))))))))))))))))))***+++++++++******)))******++++++,,,,,,,,,++++++,,,,,,,,,++++++***---------------......///.........---------,,,,,,------...////////////...//////000111222222111000222222222222333333333333//////000000000111111111222222222222111111111111---...000111111000///......---,,,,,,+++*********,,,+++***)))(((((()))***,,,,,,,,,,,,++++++++++++***+++---......---+++***++++++++++++++++++++++++,,,,,,,,,,,,,,,+++***)))************************))))))(((((((((((())))))'''(((((()))))))))))))))'''''''''''''''((()))***((((((((((((((()))******((((((((((((((())))))************)))(((''''''&&&...+++))))))+++,,,,,,+++'''(((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&&&&&&&'''''')))))))))(((''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%$$$$$$%%%'''((('''&&&((('''''''''(((((())))))'''))),,,///000/////////***,,,---...---+++)))(((&&&&&&&&&&&&&&&'''(((((('''''''''(((''''''&&&%%%&&&'''''''''''''''''''''&&&&&&%%%%%%%%%&&&''''''$$$%%%&&&&&&$$$$$$%%%&&&&&&%%%$$$""""""###%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&&&&''''''((((((######$$$%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%""""""###$$$%%%%%%%%%%%%'''''''''&&&&&&'''''''''&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%% """$$$&&&'''&&&$$$###"""###%%%'''''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$###$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%###$$$%%%$$$###"""###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""%%%%%%"""###((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''$$$%%%&&&'''((('''&&&%%%((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''$$$''')))(((%%%$$$'''+++(((((())))))))))))((((((''''''''''''&&&&&&&&&'''((((((((((((((((((((((((((((((((())))))))))))((('''((((((((()))))))))***))))))*********+++++++++*********++++++,,,,,,,,,---,,,++++++++++++,,,---((()))***+++++++++++++++((()))))))))******++++++******+++,,,,,,+++++++++,,,,,,,,,,,,,,,---......------------,,,,,,,,,,,,,,,,,,---..................///111222111111000000333333222222222111111111000000000000000111111111222222222111111111000000...///000111111111000///......------,,,,,,+++***))))))*********)))'''&&&++++++++++++++++++++++++***+++---......---+++***************************,,,,,,,,,,,,+++******)))))))))))))))))))))))))))))))))(((((((((((())))))&&&'''((()))***)))))))))'''''''''''''''((()))***((((((((('''((())))))***((((((((((((((())))))***+++******)))((('''&&&&&&)))(((''''''((()))((((((((((((((((((((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''))))))((((((((('''''''''%%%%%%%%%&&&&&&&&&''''''%%%$$$$$$%%%'''((('''&&&''''''((((((((()))))))))(((+++...////////////000---///111111...***((('''&&&&&&&&&&&&&&&'''((()))''''''((((((''''''&&&%%%&&&&&&&&&''''''''''''''''''&&&&&&%%%%%%%%%&&&&&&$$$%%%&&&&&&$$$$$$%%%&&&%%%$$$$$$###############%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&''''''(((((($$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%"""###$$$%%%&&&&&&&&&&&&((('''&&&&&&&&&&&&'''(((&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%!!!###%%%&&&'''&&&%%%$$$###$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$######$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&###$$$%%%$$$"""!!!"""###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$#########$$$$$$$$$$$$$$$"""&&&$$$ ###,,,...***%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&)))((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''$$$&&&)))(((&&&%%%'''))))))))))))******)))))))))''''''&&&&&&&&&''''''((((((((((((((((((((((((((('''(((((())))))))))))(((''''''(((((())))))******)))))))))************+++*********++++++,,,,,,---***)))(((''''''((()))***((()))***+++++++++++++++)))))))))))))))*********)))***++++++++++++++++++******))))))******+++,,,------,,,,,,,,,++++++++++++,,,------......---------///111222111000000000333333222222111111111000//////000111222333333444222111111111111000000000//////000000000//////...............---,,,+++***'''(((***++++++)))'''&&&)))************+++++++++******,,,,,,,,,,,,******))))))))))))))))))))))))++++++++++++++++++***))))))))))))))))))))))))))))))((((((''''''(((((()))&&&'''(((*********))))))(((''''''''''''(((((()))((((((''''''(((((()))***((((((((((((((()))******++++++***))))))(((''''''''''''''''''''''''''''''(((((((((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&%%%$$$%%%''')))((('''&&&&&&''''''(((((((((''')))+++------,,,,,,...000000333555444///***((('''&&&%%%%%%&&&&&&((())))))''''''((((((''''''&&&%%%&&&&&&&&&'''''''''((((((((('''&&&&&&%%%%%%%%%%%%$$$%%%&&&&&&$$$$$$%%%&&&$$$$$$%%%%%%%%%$$$###"""%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&###$$$%%%%%%%%%%%%$$$###$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$$$$%%%&&&&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%############$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%###$$$%%%&&&&&&''''''&&&((('''&&&&&&&&&&&&'''(((&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&'''&&&%%%%%%&&&%%%$$$$$$$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$######$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%&&&&&&$$$%%%&&&%%%###"""###$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$"""#########$$$$$$$$$$$$"""%%%###%%%333777333$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%&&&''''''***)))((('''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''$$$%%%''''''&&&&&&''''''(((((())))))))))))((((((&&&&&&%%%%%%&&&'''((()))((((((((((((((((((((((((&&&'''((()))******)))((('''''''''((()))*********))))))))))))************)))******+++,,,,,,------(((&&&%%%$$$$$$%%%&&&((((((((()))++++++,,,,,,+++++++++***************)))))))))***+++++++++++++++)))))))))))))))***++++++,,,,,,,,,,,,++++++++++++++++++,,,------------,,,,,,///222222000//////111111222222222222222333333111222222222333333333333111111111111000000000000.........------,,,,,,+++,,,,,,------,,,+++))))))'''(((((()))))))))))))))))))))))))))******++++++***++++++++++++++++++***(((((((((((((((((((((((()))******++++++++++++***))))))))))))))))))))))))((((((''''''''''''((((((%%%&&&(((***+++***)))))))))((((((''''''''''''((((((''''''''''''((())))))((((((((((((((()))******+++++++++******))))))((('''((())))))((((((((((((''''''''''''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''&&&&&&&&&&&&''''''$$$$$$%%%%%%&&&'''''''''%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%&&&((())))))((($$$%%%&&&&&&''''''&&&&&&(((***,,,+++)))))),,,///333666888666111+++((('''%%%%%%%%%&&&'''((()))***''''''((((((''''''&&&%%%&&&&&&&&&'''''''''(((((()))((('''&&&%%%$$$$$$$$$$$$%%%&&&&&&$$$$$$%%%&&&$$$%%%'''''''''%%%###"""%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&###$$$%%%&&&&&&%%%$$$###$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$$$$%%%%%%&&&'''((((((&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%!!!!!!!!!!!!"""###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&'''''''''%%%&&&&&&''''''&&&&&&%%%$$$$$$%%%&&&''''''''''''((('''&&&%%%%%%&&&'''(((&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''&&&&&&&&&%%%'''&&&$$$######$$$&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&$$$$$$$$$#########$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%&&&'''&&&$$$###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$&&&&&&&&&&&&$$$$$$""""""######$$$$$$$$$$$$!!!%%%###'''888???;;;""""""""""""""""""""""""%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$'''&&&%%%$$$%%%&&&'''(((******)))((('''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''$$$%%%%%%&&&''''''&&&&&&''''''((((((((((((''''''&&&%%%%%%%%%&&&''')))***((((((((((((((((((((((((&&&'''(((*********)))(((&&&''''''((()))******+++))))))))))))************))))))***+++,,,,,,---------+++***))))))***+++---(((((()))++++++,,,,,,,,,---,,,,,,++++++*********((()))***++++++++++++++++++++++++***+++,,,,,,---,,,,,,,,,+++++++++******++++++,,,------------,,,,,,///222222000...///111000111111222333555555666777666555444222111000000111111111111000000000000------,,,++++++***))))))++++++,,,,,,+++***(((''')))((('''&&&''')))+++,,,(((((())))))*********+++++++++***))))))***++++++((((((((((((((((((((((((((()))***+++++++++++++++))))))))))))))))))))))))((((((''''''''''''(((((($$$&&&(((***++++++))))))***)))(((''''''''''''''''''''''''''''''((())))))((((((((((((((()))******++++++++++++************%%%&&&(((((('''&&&&&&'''''''''&&&&&&&&&%%%%%%%%%''''''''''''''''''''''''&&&&&&&&&'''''''''(((((('''''''''&&&&&&'''''''''%%%&&&&&&'''((()))******%%%%%%%%%&&&&&&&&&'''''''''&&&&&&''')))***)))(((((()))*********)))'''&&&'''(((***,,,---//////000777777777666333///+++)))''''''&&&&&&%%%%%%%%%%%%((((((((((((((((((((((((((((((((((((''''''''''''((('''%%%$$$$$$%%%'''(((%%%&&&&&&''''''&&&&&&%%%(((%%%%%%((((((%%%%%%(((''''''''''''&&&%%%$$$$$$%%%$$$###$$$&&&'''&&&%%%'''&&&$$$#########$$$$$$'''&&&%%%$$$$$$$$$%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&'''&&&%%%%%%&&&&&&$$$#########$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&+++(((%%%$$$$$$%%%%%%$$$''''''((()))((('''%%%$$$'''&&&%%%$$$###$$$$$$%%%''''''&&&&&&&&&%%%%%%%%%'''''''''''''''''''''''''''$$$""""""%%%''''''&&&%%%&&&&&&&&&%%%%%%$$$###$$$%%%%%%&&&'''''''''&&&+++)))&&&%%%%%%&&&&&&%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&'''&&&$$$%%%%%%&&&$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%############%%%%%%((('''&&&%%%$$$$$$$$$$$$&&&%%%%%%$$$#########$$$%%%%%%%%%%%%%%%$$$###"""#########$$$%%%&&&'''(((%%%$$$$$$######$$$$$$%%%&&&''')))%%%$$$444???888&&&((('''######'''(((&&&%%%$$$$$$######$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$###$$$$$$%%%''')))+++,,,&&&&&&&&&%%%%%%$$$$$$$$$###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%((((((((('''&&&&&&%%%%%%'''&&&$$$######$$$&&&'''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((((((((((((((()))((('''&&&&&&'''((()))((((((((((((((()))***+++++++++******))))))(((((()))*********++++++++++++((('''&&&''')))++++++***+++++++++,,,,,,---------,,,,,,,,,++++++++++++******++++++***))))))***,,,000...,,,+++******++++++------,,,,,,,,,---.........+++)))***---...---,,,------...//////......---///000222333444555555555666555222111000000222222111111111111111000//////......------,,,+++******+++++++++************)))************))))))((((((,,,++++++***)))(((''''''++++++************++++++...,,,))))))******'''$$$))))))))))))))))))))))))((((((((((((((('''''''''''''''''''''''''''''''''(((((((((((())))))))))))************))))))))))))'''''''''''''''((()))***'''&&&&&&&&&&&&'''((((((+++***)))((('''&&&%%%%%%((('''&&&%%%&&&(((***+++%%%%%%%%%&&&&&&'''''''''&&&&&&&&&''''''(((((((((&&&&&&'''''''''&&&$$$###(((((((((''''''&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&%%%$$$$$$&&&&&&%%%$$$(((&&&%%%'''***+++)))&&&'''((()))******)))(((''')))***+++---.../////////666666555444111...+++)))******)))))))))(((((((((''''''''''''''''''''''''(((((((((((('''''''''''')))(((&&&%%%%%%&&&((()))%%%&&&&&&''''''&&&&&&%%%&&&$$$$$$''''''$$$%%%'''&&&&&&''''''&&&&&&%%%%%%%%%$$$###$$$&&&'''&&&%%%&&&&&&$$$#########$$$$$$&&&&&&%%%$$$$$$$$$%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%$$$$$$%%%%%%$$$"""###$$$$$$$$$$$$%%%%%%%%%$$$%%%%%%%%%&&&&&&&&&&&&'''''''''''''''''''''''')))(((&&&&&&&&&'''&&&$$$'''''''''''''''&&&%%%%%%)))((('''&&&&&&&&&'''''''''&&&&&&&&&&&&%%%%%%%%%'''''''''''''''''''''''''''$$$""""""$$$&&&%%%$$$%%%%%%&&&&&&%%%$$$$$$###$$$%%%&&&&&&''''''&&&&&&######$$$&&&)))+++---...&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$%%%%%%%%%%%%&&&&&&'''&&&$$$%%%%%%&&&$$$###$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$######$$$%%%&&&((('''&&&%%%$$$$$$$$$$$$&&&%%%%%%$$$######$$$$$$$$$$$$%%%%%%%%%$$$$$$###%%%$$$$$$%%%%%%&&&''''''%%%$$$$$$######$$$$$$%%%######&&&###"""111===666((()))((($$$$$$((()))(((%%%$$$$$$######$$$$$$%%%&&&&&&%%%%%%$$$$$$$$$$$$"""""""""###$$$&&&'''(((&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&'''&&&$$$######$$$&&&'''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&'''''''''''''''''''''''''''''''''''''''))))))))))))))))))))))))))))))'''&&&&&&'''(((((((((((('''''''''((())))))*********)))))))))))))))*********++++++++++++,,,***)))'''(((***+++++++++,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++************+++,,,,,,+++******+++---,,,,,,,,,,,,,,,------...++++++++++++,,,------...---+++)))***---...---,,,------------....../////////000111333444555555555444333111///...///000000111111111111111000//////,,,,,,,,,,,,,,,+++++++++++++++++++++************++++++*********)))))))))+++******))))))(((((('''***))))))))))))))))))******((('''(((+++,,,+++)))))))))))))))))))))))))))(((((((((((((((((((((''''''''''''''''''''''''''''''''''''((((((((())))))((((((((((((''''''''''''((((((((((((((()))******)))))))))))))))******+++))))))))))))(((((((((((((((((()))))))))(((((('''''''''''''''''''''((((((&&&&&&&&&&&&'''''''''(((&&&'''((((((((('''&&&%%%)))((((((((('''''''''''''''&&&&&&%%%%%%&&&&&&''''''&&&%%%&&&''''''&&&%%%&&&'''((((((((((((((((((&&&'''((()))*********)))+++,,,---...////////////333333333111///,,,***((('''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((('''''''''''')))((('''&&&&&&'''((()))&&&&&&''''''''''''&&&&&&%%%""""""&&&&&&$$$$$$'''$$$%%%&&&&&&''''''&&&&&&%%%$$$###$$$&&&'''&&&%%%&&&%%%%%%$$$$$$$$$$$$%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&'''%%%$$$$$$&&&&&&%%%###$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''(((''''''((())))))'''%%%'''&&&&&&%%%%%%%%%%%%%%%(((((('''&&&&&&&&&''''''&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&$$$$$$%%%&&&%%%$$$%%%%%%&&&&&&&&&%%%$$$$$$%%%%%%&&&&&&''''''&&&&&&$$$$$$$$$$$$$$$######"""&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&'''%%%$$$$$$&&&&&&%%%###$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&%%%$$$$$$$$$$$$&&&%%%%%%$$$$$$$$$$$$$$$###$$$$$$%%%%%%%%%%%%$$$&&&&&&&&&&&&&&&&&&''''''%%%$$$$$$######$$$$$$%%%$$$$$$'''&&&%%%333>>>777''')))&&&""""""&&&)))'''%%%$$$$$$######$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$###"""""""""######$$$%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$&&&''''''((((((''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$%%%&&&&&&'''&&&&&&$$$$$$$$$$$$&&&&&&$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&'''(((((((((''''''(((((((((((((((((((((((())))))))))))))))))))))))***)))((('''&&&&&&'''(((((((((''''''&&&'''''''''((())))))))))))))))))***************++++++++++++,,,+++))))))+++,,,,,,+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++((()))***)))(((''')))+++)))***,,,...///000000000+++++++++,,,---...///000---+++******,,,------,,,---,,,,,,,,,---///000111///000111222333444444444111000///---,,,------...000000111111000000//////++++++++++++++++++++++++,,,+++++++++************+++++++++***************))))))))))))))))))))))))))))))(((((((((((())))))(((''''''(((+++,,,,,,+++))))))))))))))))))))))))''''''((((((((((((((((((''''''''''''''''''''''''&&&&&&&&&'''''''''((((((''''''''''''(((((((((((()))(((((((((((()))******)))))))))))))))***++++++'''((((((((())))))******((()))***+++***(((&&&$$$)))))))))(((((((((((((((&&&&&&&&&&&&&&&'''''''''&&&'''(((((()))((((((((((((((((((((((((''''''''''''&&&&&&%%%%%%&&&&&&'''((('''&&&'''((()))(((&&&$$$'''***)))&&&%%%'''+++%%%&&&'''((()))***++++++---......///////////////000000000///---+++)))(((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''((((((((((((''''''''''''(((((('''&&&&&&'''((((((&&&&&&''''''''''''&&&&&&$$$""""""&&&&&&$$$%%%(((###$$$%%%&&&''''''''''''&&&%%%$$$$$$&&&&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&((('''&&&&&&'''((('''%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%&&&&&&&&&&&&'''''''''''''''''''''''''''''''''&&&'''(((***,,,+++(((%%%'''&&&$$$######$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&'''(((((((((&&&'''''''''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&%%%((()))(((&&&!!!&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%$$$$$$&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%$$$$$$$$$%%%&&&%%%%%%$$$$$$$$$%%%%%%######$$$%%%&&&&&&&&&&&&''''''''''''''''''&&&&&&%%%$$$$$$######$$$$$$%%%&&&$$$((((((&&&000999333%%%&&&######&&&%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&######$$$$$$$$$$$$%%%%%%''''''((((((((((((((('''''''''''''''''''''''''''((((((((((((((((((((((((+++***((('''&&&&&&'''''')))((('''&&&&&&&&&&&&&&&'''((((((((())))))******(((((()))))))))*********---+++))))))+++++++++***------,,,,,,,,,,,,++++++............------------)))***+++***((((((***+++)))+++...000222111000///------------...000111222,,,+++++++++,,,------------,,,++++++,,,///111333///000111222333333333333000///...---,,,,,,,,,---///000000000000000//////------,,,+++******)))))),,,,,,+++++++++*********++++++++++++************)))*********+++++++++,,,))))))(((((((((((())))))******))))))******))))))((((((((((((((((((((((((''''''''''''((((((((((((''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''))))))))))))************(((((((((''''''(((((()))'''&&&&&&&&&&&&'''(((((('''''''''((((((((())))))'''(((((()))((('''&&&%%%)))))))))(((((('''''''''&&&&&&&&&&&&&&&&&&''''''&&&&&&''''''(((((((((((('''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''((('''&&&&&&(((((('''&&&%%%'''((('''&&&%%%'''***%%%&&&&&&((()))***+++,,,...//////000000//////...---------,,,+++***)))((()))))))))))))))*********(((((((((((((((((((((((((((((((((((('''''''''''''''&&&&&&&&&&&&&&&&&&'''&&&''''''((((((''''''&&&&&&######''''''%%%%%%(((###$$$%%%&&&'''(((((((((&&&%%%$$$$$$&&&&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%$$$%%%&&&'''&&&%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&''')))+++---,,,(((%%%&&&%%%$$$######$$$&&&'''$$$%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&!!!###$$$%%%&&&'''((()))(((((()))))))))))))))(((%%%&&&&&&'''&&&&&&%%%%%%%%%'''))))))&&&$$$###$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%$$$$$$&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%&&&%%%%%%$$$%%%%%%&&&&&&###$$$%%%&&&&&&&&&&&&&&&&&&''''''(((((('''&&&%%%%%%$$$$$$######$$$$$$%%%%%%!!!$$$$$$ '''...((($$$%%%######%%%$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%((('''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%'''(((((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''***)))((('''&&&&&&'''((()))((('''&&&&&&&&&&&&&&&''''''(((((()))))))))***''''''''''''((((((((((((,,,***))))))*********))),,,,,,,,,,,,,,,,,,,,,,,,------------,,,,,,,,,,,,,,,---...---,,,+++---///+++---000222222111///---,,,,,,,,,,,,---...///000+++,,,,,,++++++,,,---...---,,,++++++,,,///111333//////000111222222222222000000///...------------...//////000000000////////////...,,,***)))(((''',,,,,,,,,++++++++++++******************************++++++,,,,,,------...+++******))))))******+++)))*********))))))))))))((((((((((((((((((((((((&&&'''''''''(((((())))))''''''''''''''''''''''''%%%%%%%%%%%%&&&&&&&&&&&&((()))))))))*********+++(((((('''&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''(((((((((((('''''''''&&&&&&&&&&&&%%%%%%%%%&&&(((((()))((((((''''''&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&''''''&&&%%%&&&'''((('''%%%(((&&&$$$$$$'''(((((('''&&&&&&''''''(((***+++,,,......///////////////...,,,++++++******)))))))))(((((((((((())))))))))))))))))))))))))))))))))))((((((((((((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((((((((('''''''''$$$$$$''''''$$$$$$'''###$$$%%%&&&'''''''''''''''%%%$$$$$$&&&&&&%%%###$$$%%%%%%&&&&&&&&&&&&%%%######$$$%%%&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&###"""!!!"""$$$%%%$$$###%%%%%%%%%%%%&&&&&&&&&&&&$$$%%%%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$'''''')))+++,,,+++'''%%%%%%%%%%%%%%%%%%&&&&&&'''%%%&&&'''(((((((((''''''%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%% ###$$$$$$$$$%%%'''(((((()))*********))))))&&&&&&''''''&&&&&&%%%%%%"""%%%((('''%%%$$$%%%(((&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%$$$###$$$&&&'''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%'''(((((('''&&&%%%%%%$$$$$$######$$$$$$%%%'''!!!%%%&&&!!!$$$)))$$$%%%'''&&&######&&&'''%%%%%%$$$$$$######$$$$$$%%%$$$%%%%%%%%%%%%%%%&&&&&&$$$############$$$$$$%%%$$$$$$%%%%%%%%%%%%&&&&&&###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%))))))(((''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$%%%%%%&&&&&&''''''((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&)))((('''&&&&&&'''((()))((((((''''''&&&''''''''''''(((((((((((((((((()))''''''''''''((((((((((((+++)))((((((***+++******+++++++++,,,,,,---------++++++++++++************)))***+++***((((((***+++,,,...000111111000---++++++************+++,,,,,,+++,,,,,,,,,++++++---///---,,,,,,,,,---///000111//////000111111111111111000000//////...------,,,......///000000000//////000000...---+++***)))(((,,,,,,,,,,,,++++++++++++)))))))))))))))*********++++++,,,,,,,,,---------++++++************++++++&&&((()))***))))))+++---))))))))))))))))))))))))&&&&&&''''''((()))))))))''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''(((((()))))))))((((((''''''''''''(((((((((((((((((()))******))))))(((((('''''''''&&&'''&&&$$$$$$$$$&&&)))***(((((('''''''''''''''''')))))))))(((((((((((((((&&&&&&%%%%%%%%%&&&''''''&&&&&&&&&''''''''''''''''''&&&&&&%%%%%%&&&&&&''''''&&&%%%&&&''''''&&&%%%)))%%%"""###''')))(((&&&''''''''''''((()))+++,,,,,,---......////////////+++******))))))))))))***%%%&&&&&&&&&''''''''''''))))))))))))))))))))))))((((((((((((''''''''''''&&&&&&''''''''''''&&&&&&''''''(((((((((((('''''''''$$$$$$&&&&&&""""""$$$$$$$$$%%%&&&'''''''''''''''&&&$$$%%%%%%&&&$$$###$$$$$$&&&'''''''''&&&&&&"""###$$$&&&''''''&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$###"""###%%%&&&%%%$$$%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%)))(((((()))***)))&&&$$$%%%%%%&&&'''''''''''''''%%%&&&'''(((((((((''''''%%%%%%%%%$$$$$$$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%% ###&&&&&&$$$###$$$%%%&&&'''(((((()))))))))(((&&&&&&''''''&&&&&&%%%$$$###%%%'''$$$ !!!$$$&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%$$$###$$$&&&'''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%&&&&&&%%%$$$###%%%%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&%%%%%%"""$$$%%%'''((('''&&&%%%%%%$$$$$$######$$$$$$%%%)))"""&&&)))$$$&&&***&&&$$$''''''%%%%%%''''''$$$%%%$$$$$$######$$$$$$%%%%%%%%%&&&&&&&&&'''''''''$$$$$$###$$$$$$%%%&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&######$$$$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%&&&&&&'''''''''''''''''''''&&&%%%%%%''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&'''((()))+++(((((('''''''''((())))))((((((((((((((('''''''''((((((((()))))))))******+++***((()))+++---,,,,,,******++++++,,,---......,,,,,,,,,,,,++++++++++++'''(((((('''&&&&&&'''))),,,---///000000///---,,,------,,,++++++++++++,,,***,,,---,,,******---///------------......//////...///000000111000000000////////////...---,,,,,,---......///000000/////////......------,,,,,,,,,------,,,,,,,,,+++++++++''''''((((((((()))))))))******++++++++++++++++++******))))))))))))******''')))+++***)))(((***,,,))))))))))))))))))))))))&&&&&&''''''((())))))***''''''''''''''''''''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&'''((()))))))))++++++***)))))))))))))))***************++++++,,,))))))))))))************(((((('''''''''(((((()))(((((((((((((((((())))))+++*********)))))))))(((((('''&&&&&&%%%&&&''''''(((((((((((()))))))))***'''&&&&&&%%%%%%&&&&&&'''((('''&&&'''(((((((((&&&'''&&&$$$$$$%%%&&&((((((((((((''''''''')))***++++++,,,---...////////////******))))))))))))******((()))))))))******++++++(((((((((((((((((((((((()))(((((((((''''''''''''''''''((((((((((((''''''''''''(((((((((((('''''''''$$$###%%%$$$ """%%%%%%&&&&&&''''''&&&&&&'''&&&%%%%%%%%%&&&$$$######$$$&&&'''((('''&&&&&&"""###$$$&&&''''''&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&'''&&&%%%&&&((()))((('''%%%%%%%%%&&&&&&&&&''''''''''''''''''((((((((()))&&&&&&&&&&&&&&&&&&&&&&&&***)))(((((()))(((%%%###$$$%%%'''((()))(((''''''"""###%%%&&&'''&&&%%%%%%%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%&&&)))+++***'''$$$$$$%%%%%%%%%&&&'''((((((''''''&&&'''''''''&&&%%%%%%$$$"""%%%'''%%%"""###''',,,&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''$$$$$$%%%%%%%%%&&&&&&&&&%%%$$$###$$$&&&'''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$######%%%%%%%%%%%%######%%%%%%%%%$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%&&&'''(((''''''''''''&&&%%%$$$$$$!!!"""$$$&&&''''''&&&%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%###'''"""$$$((($$$!!!%%%&&&$$$$$$&&&%%%!!!%%%$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&''''''(((((((((&&&&&&&&&&&&'''((()))***$$$$$$$$$%%%%%%&&&&&&&&&###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%&&&&&&'''$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&'''((((((&&&'''''''''&&&%%%%%%$$$((((((((((((((((((((((((((((((((((((((((((((((((&&&&&&&&&&&&''')))***,,,((((((((((((((()))***+++))))))(((((('''''''''&&&************+++++++++++++++***)))***---.........))))))***+++---...//////000000/////////.........,,,------,,,++++++,,,...+++,,,.../////////......111000///...............***,,,---,,,******---///------...//////......---...///000000000000000///............---,,,++++++------...///000000//////---------....../////////---------,,,,,,,,,++++++&&&'''''''''(((((())))))))))))))))))))))))))))))))))))(((((((((((())))))+++,,,---+++(((%%%&&&((())))))))))))))))))))))))&&&&&&&&&'''((())))))***''''''''''''''''''''''''&&&&&&&&&'''''''''(((((('''(((((()))***++++++,,,------,,,+++******++++++******))))))******+++,,,((()))***+++,,,---......)))***+++,,,+++)))'''&&&(((((())))))******++++++,,,+++++++++******))))))***)))((('''&&&&&&'''((())))))******+++++++++,,,'''&&&&&&%%%%%%&&&&&&'''***((('''((()))***)))(((%%%''''''%%%######'''+++&&&'''((()))***+++,,,---////////////...---,,,+++******))))))((((((''''''''''''''''''''''''''''''(((((())))))((('''&&&&&&))))))))))))((((((((((((''''''&&&&&&&&&&&&''''''***)))((('''&&&&&&'''(((+++)))&&&$$$###$$$%%%%%%!!!###%%%'''((((((((('''&&&%%%$$$######$$$%%%&&&%%%%%%&&&&&&'''((())))))%%%%%%%%%%%%$$$$$$###"""%%%%%%%%%&&&&&&&&&''''''$$$%%%&&&''''''&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''((((((((((((((('''&&&%%%$$$#########******)))(((((((((((((((&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''(((((('''%%%$$$&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''(((((('''&&&%%%$$$$$$###%%%&&&'''&&&%%%%%%&&&(((&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$&&&%%%%%%$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%)))(((&&&%%%%%%&&&((()))$$$$$$%%%&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''&&&&&&$$$$$$$$$$$$&&&&&&'''&&&&&&%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###$$$%%%&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''(((((((((((((((''''''###$$$%%%&&&'''&&&%%%%%%''''''%%%$$$$$$%%%''''''''''''&&&&&&&&&&&&''''''((((((''''''&&&&&&&&&%%%(((((((((((((((((((((((())))))************))))))'''&&&&&&&&&&&&'''((((((***))))))+++---...---+++,,,,,,,,,---------....../////////...---------,,,******)))))))))***,,,------...///000000000......,,,,,,------,,,,,,+++***+++++++++***)))***---000---------------...//////////////////..................---,,,++++++++++++---....../////////////////////.........---------//////...------,,,++++++******))))))))))))************+++++++++,,,,,,,,,+++***)))'''''''''((()))++++++******)))(((((((((***'''$$$&&&+++---***'''%%%&&&((((((&&&&&&'''(((&&&&&&''''''''''''&&&&&&((((((((((((((((((((((((******))))))((((((''''''((((((((((((((((((((((((''''''''''''''''''''''''(((((('''''''''&&&&&&&&&%%%&&&((()))))))))((('''))))))'''&&&&&&'''((()))******)))(((''''''&&&&&&''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''&&&'''((()))***+++,,,,,,------------,,,+++***)))))))))))))))((((((((((((''''''''''''''''''''''''************)))))))))((())))))))))))((((((((((((''''''&&&&&&&&&&&&''''''***)))((('''&&&''''''((()))(((&&&%%%$$$$$$%%%&&&%%%&&&''''''((('''&&&%%%%%%%%%$$$######$$$%%%%%%$$$$$$%%%%%%&&&''''''(((%%%%%%%%%%%%%%%$$$######%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''***)))((('''&&&&&&&&&&&&)))(((((('''&&&'''''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&''''''&&&%%%$$$&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''&&&%%%%%%$$$$$$%%%&&&&&&%%%$$$###%%%&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%$$$&&&%%%$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%((('''&&&%%%%%%&&&'''(((%%%%%%&&&&&&'''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&'''''''''&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&'''''''''%%%&&&&&&''''''&&&%%%%%%###$$$%%%&&&'''&&&&&&%%%'''&&&&&&&&&&&&&&&&&&'''(((''''''&&&&&&''''''(((((((((((((((''''''&&&&&&(((((((((((((((((((((((())))))************))))))''''''&&&&&&''''''((())))))((((((***,,,---,,,***,,,,,,,,,,,,------------............------------,,,,,,+++++++++,,,---...,,,,,,---............------------------,,,++++++******)))'''&&&&&&)))+++......------......///000////////////////////////000///...---,,,,,,,,,,,,------.../////////////////////.........---------.........---,,,+++++++++******))))))))))))***************+++++++++,,,,,,+++***)))((('''(((((())))))))))))))))))************'''%%%'''***,,,***''''''''''''&&&$$$$$$&&&(((&&&&&&''''''''''''&&&&&&((((((((((((((((((((((((***)))))))))((((((((('''(((((((((((((((((((((((())))))))))))))))))))))))(((((('''''''''&&&&&&&&&%%%&&&'''((())))))((('''((((((''''''''''''(((((((((''''''&&&&&&%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&((((((''''''''''''''''''''''''''''''''''''''''''%%%%%%&&&&&&&&&'''''''''''''''((())))))***++++++++++++++++++***)))(((((((((((((((((())))))))))))''''''''''''''''''''''''+++******))))))))))))***(((((((((((())))))))))))''''''&&&&&&&&&&&&''''''))))))(((''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&)))))))))((('''&&&%%%$$$%%%%%%$$$$$$$$$$$$%%%%%%###$$$$$$%%%%%%&&&&&&&&&%%%&&&&&&&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%&&&&&&&&&&&&))))))((('''&&&&&&&&&&&&((('''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$&&&&&&&&&&&&%%%%%%%%%%%%''''''(((&&&$$$$$$%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%((('''&&&%%%%%%&&&'''(((&&&&&&&&&'''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%&&&'''&&&%%%%%%$$$$$$%%%%%%&&&######$$$%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&''''''&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&'''''''''%%%&&&&&&''''''&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&&&&&&&''''''''''''&&&&&&(((''''''&&&&&&''''''((())))))))))))(((((((((((((((((((((((((((((((((((())))))************))))))'''''''''''''''((())))))((((((((()))+++,,,+++***++++++++++++,,,,,,,,,,,,------------............,,,,,,+++++++++,,,---...,,,+++++++++,,,,,,---...---............---,,,,,,---------+++)))(((***,,,//////......//////000111000000000000000000000000111000///......------...,,,---......//////.....................---------...------,,,,,,++++++*********))))))))))))***************++++++++++++,,,+++***))))))((()))))))))'''(((((()))******++++++***'''&&&'''***+++***'''))))))(((&&&$$$$$$&&&(((&&&&&&''''''''''''&&&&&&(((((((((((((((((((((((())))))))))))((((((((((((((((((((((((((((((((((((************************((((((((('''''''''&&&&&&&&&&&&'''(((((((((((('''&&&''''''(((((((((''''''(((''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&((((((''''''&&&&&&%%%%%%''''''''''''''''''''''''%%%&&&&&&&&&&&&''''''''''''((((((((())))))******)))*********))))))((('''''''''(((((())))))******'''''''''''''''''''''''')))((('''&&&&&&'''(((((((((((((((((())))))))))))''''''&&&&&&&&&&&&''''''((((((((('''''''''(((((($$$%%%&&&&&&''''''&&&&&&******)))((((((&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%%%%%%%%%%&&&&&&&&&'''''''''&&&%%%$$$$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''&&&%%%%%%%%%%%%%%%(((''''''&&&%%%&&&&&&&&&%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$######$$$$$$%%%%%%%%%&&&&&&&&&)))))))))(((&&&%%%&&&(((&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%$$$$$$###$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''''''''''''''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''(((((())))))))))))(((%%%&&&&&&&&&''''''''''''&&&'''((())))))((('''&&&((((((''''''''''''((((((******))))))))))))))))))(((((((((((((((((((((((()))******++++++******)))((((((''''''(((((()))***)))((((((***,,,---,,,*********+++++++++,,,,,,,,,,,,,,,,,,------.........*********************+++,,,+++******+++,,,...///......//////......---,,,---......,,,++++++,,,...///////////////000111111111111111111111222222222111111000///............,,,,,,---............---........................------,,,,,,++++++++++++******))))))))))))******************++++++++++++************************(((((())))))***************((('''((()))***)))''')))******)))'''%%%&&&&&&&&&&&&''''''''''''&&&&&&(((((((((((((((((((((((())))))))))))((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''&&&'''''''''''''''''''''%%%&&&'''((()))((('''&&&***)))))))))((((((''''''''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&&&&&&&%%%$$$######""""""''''''''''''''''''''''''&&&&&&&&&&&&''''''''''''((((((((((((((())))))))))))************))))))(((''''''(((((())))))******((((((((((((((((((((((((((((((''''''''''''(((((('''((((((((()))))))))***''''''&&&&&&&&&&&&''''''''''''((((((((((((((((((###$$$%%%&&&''''''''''''((((((((('''''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''%%%%%%&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''&&&%%%$$$$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''''''''''''''&&&%%%%%%%%%&&&&&&)))(((''''''&&&&&&''''''%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%&&&&&&&&&'''(((((('''%%%$$$%%%'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%$$$$$$###$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%&&&&&&&&&''''''''''''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((('''(((((()))******))))))&&&&&&&&&'''''''''((((((&&&'''))))))))))))'''&&&(((((((((''''''((((((((())))))******************))))))))))))))))))))))))******++++++++++++******)))(((((((((((()))******+++******+++......---,,,******+++++++++,,,,,,,,,+++,,,,,,,,,------......************************,,,++++++***+++---///000......//////......---,,,'''((()))***)))***+++---///////////////000111111000111111111222222222333111000///...------------+++,,,,,,------------------.....................------,,,,,,,,,,,,,,,+++******))))))))))))******))))))*********+++++++++******++++++++++++++++++************))))))(((((())))))(((((())))))(((((((((***------+++(((&&&%%%&&&&&&''''''''''''&&&&&&(((((((((((((((((((((((((((((((((((())))))))))))))))))))))))))))))))))))(((((((((((((((((((((((())))))(((((((((''''''''''''''''''&&&&&&&&&&&&'''$$$%%%'''((((((((('''&&&)))))))))))))))(((((((((((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&&&&&&&%%%$$$######""""""''''''''''''''''''''''''&&&&&&&&&'''''''''(((((()))((((((((((((((((((((()))******++++++***))))))(((((((((((())))))))))))((((((((((((((((((((((((((())))))************)))''''''(((((())))))******''''''&&&&&&&&&&&&''''''&&&'''(((((()))(((((((((%%%%%%%%%&&&&&&''''''''''''&&&&&&&&&'''((())))))%%%%%%&&&&&&&&&&&&%%%%%%''''''''''''''''''''''''$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''))))))((((((((((((((())))))(((((('''&&&'''''''''%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&######$$$$$$%%%%%%&&&&&&###$$$%%%$$$###"""$$$&&&&&&&&&&&&&&&''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&$$$$$$######$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&'''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&'''$$$%%%%%%&&&&&&%%%%%%$$$''''''&&&%%%%%%$$$######%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&'''&&&&&&'''''''''(((((((((%%%&&&''''''(((((((((((((((''''''''''''((())))))(((((())))))))))))(((((()))((((((''''''(((((()))))))))))))))************))))))))))))))))))))))))******++++++++++++******)))))))))))))))******++++++++++++,,,...///...---++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,------------,,,,,,---------,,,++++++*********+++,,,---...///---............---,,,,,,'''(((+++++++++,,,...000//////......//////000111000000000111222222333333111000///......---------***+++,,,,,,------,,,,,,---------...............------------------------******))))))))))))******)))))))))************+++******+++,,,,,,,,,++++++++++++******)))(((((('''))))))))))))(((((((((((('''***------+++)))'''&&&&&&&&&''''''''''''&&&&&&(((((((((((((((((((((((((((((((((((())))))))))))))))))))))))))))))))))))************************)))))))))(((((((((''''''((('''&&&&&&%%%&&&&&&&&&$$$%%%&&&'''''''''''''''''''''''''''''''''''''''((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&((((((''''''&&&&&&%%%%%%''''''''''''''''''''''''&&&&&&'''''''''((((((((())))))((((((((('''''''''))))))************))))))))))))))))))((((((((((((((((((((((((((((((((((((&&&(((***,,,,,,+++)))((('''''''''((()))*********''''''&&&&&&&&&&&&''''''%%%&&&((()))))))))(((((('''&&&%%%%%%%%%&&&'''((('''&&&%%%%%%%%%&&&((((((%%%%%%&&&''''''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&######$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%&&&&&&&&&&&&))))))(((((((((((())))))((('''&&&&&&%%%%%%&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%&&&&&&%%%$$$###$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%&&&''''''((($$$$$$$$$$$$$$$%%%%%%%%%###$$$%%%$$$$$$$$$&&&(((&&&&&&&&&&&&'''''''''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%&&&&&&'''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%&&&'''(((((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''''''''((((((((((((%%%%%%'''(((((())))))))))))((('''''''''((()))******))))))(((((())))))***))))))(((((((((((())))))((((((((()))))))))******))))))))))))))))))))))))***++++++,,,,,,++++++*********)))))))))***+++++++++******,,,...///...,,,,,,,,,,,,,,,------------------,,,,,,,,,,,,,,,,,,,,,------------,,,+++***'''((()))+++,,,------------------------,,,++++++***,,,...///......///111......------......///000//////000000111222222333222222111000////////////******+++,,,,,,,,,,,,,,,---------.........//////........................******))))))))))))******))))))))))))******************,,,---------,,,,,,*********)))))))))))))))))))))***)))((('''((((((((()))))))))''''''((()))&&&&&&''''''''''''&&&&&&(((((((((((((((((((((((('''((((((((()))))))))***))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))((((((((('''((('''&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&'''((()))'''''''''''''''''''''(((''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''(((((((((((()))))))))(((''''''&&&&&&(((((()))))))))))))))(((******))))))((((((''''''))))))))))))))))))))))))###%%%(((++++++***'''%%%&&&''''''((()))******+++'''''''''&&&&&&'''''''''%%%&&&((()))))))))((((((((('''%%%$$$$$$%%%'''(((''''''%%%%%%$$$%%%&&&'''%%%%%%&&&''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$$$$%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''$$$%%%''''''''''''%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%''''''&&&&&&&&&''''''((('''&&&%%%%%%$$$$$$%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&"""###%%%&&&&&&%%%###"""$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%'''((())))))$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&'''''''''(((***,,,&&&&&&&&&'''''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$#########$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%&&&'''(((((('''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%&&&'''$$$$$$&&&&&&&&&&&&$$$$$$###$$$$$$%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&'''&&&%%%%%%%%%%%%%%%&&&&&&'''''''''''''''''''''((((((((()))'''''')))***++++++++++++)))((('''''''''(((***++++++***)))(((((()))***+++))))))(((((((((((())))))''''''(((((()))))))))***))))))))))))))))))))))))***++++++,,,,,,++++++************)))******+++,,,***))))))+++---...---+++,,,,,,------------......---------,,,,,,+++++++++***++++++,,,+++***)))(((%%%&&&(((***+++,,,++++++,,,,,,------,,,,,,+++***)))+++,,,,,,+++***+++,,,---------------...//////...//////000111111222222444333222111000000000000******+++,,,,,,,,,,,,+++---------.........//////......//////////////////******))))))))))))******))))))))))))************)))***,,,---...---,,,,,,((((((((()))******++++++)))******)))(((''''''((()))(((&&&$$$###$$$(((,,,&&&''''''''''''''''''&&&(((((((((((((((((((((((('''((((((((())))))******))))))))))))))))))))))))''''''''''''''''''''''''))))))))))))((((((((((((((((((&&&%%%$$$%%%%%%&&&%%%%%%$$$$$$%%%&&&((()))))))))))))))************%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''''''''''''''&&&%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''((((((((()))&&&&&&&&&'''''''''''''''))))))))))))(((((((((((()))))))))(((''''''&&&&&&(((((())))))))))))((((((+++***)))(((((()))***+++))))))(((''''''''''''''',,,)))&&&%%%&&&((()))))))))))))))&&&$$$$$$%%%'''((('''%%%$$$$$$%%%'''(((***)))'''&&&%%%%%%&&&&&&%%%&&&''''''%%%%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%&&&&&&&&&''''''''''''(((&&&&&&''''''&&&$$$"""!!!&&&%%%%%%%%%%%%&&&'''''')))((('''&&&%%%&&&'''(((%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&''''''''''''((($$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$###$$$$$$%%%%%%$$$$$$###&&&%%%%%%$$$$$$%%%%%%&&&"""$$$&&&&&&$$$"""""""""$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$***'''$$$%%%'''((('''%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%&&&''''''&&&&&&&&&%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%&&&&&&$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%&&&&&&'''''''''''''''&&&(((((('''&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$###$$$$$$$$$&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((()))***++++++******))))))((('''''''''+++++++++******((('''&&&''''''''''''(((((((((((((((((()))***************+++++++++++++++***)))(((++++++++++++++++++++++++************************++++++******++++++,,,---,,,---...///000111222333------,,,,,,+++***))))))***+++,,,---,,,+++***)))************************//////......---.........))))))*********+++++++++)))+++---000000000///............//////000111222222111000000000000000000------------------------,,,------......---,,,,,,//////.........---------///---***''''''(((+++,,,******(((%%%&&&***+++)))'''((()))******)))((('''******************++++++************))))))))))))(((''''''((())))))(((&&&'''(((((((((((((((''''''+++***)))(((((('''((((((((((((((((((((((((((((((***)))((('''(((***,,,---'''((()))))))))(((&&&%%%&&&''''''((()))******+++&&&'''((())))))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%$$$$$$###'''&&&&&&%%%%%%&&&&&&'''###$$$&&&(((((('''&&&%%%&&&&&&&&&&&&&&&'''(((((())))))((((((''''''&&&&&&))))))))))))(((((((((((((((((())))))))))))))))))(((((())))))))))))((((((+++***)))(((((()))***+++))))))((('''''''''''''''((('''&&&''')))******))))))))))))'''%%%$$$%%%'''((('''%%%$$$$$$%%%'''(((((((((&&&%%%%%%$$$$$$$$$%%%&&&'''&&&%%%%%%%%%'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((("""###%%%&&&''''''''''''&&&&&&&&&&&&&&&''''''(((&&&%%%$$$$$$############%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$"""###$$$$$$%%%%%%$$$$$$&&&&&&&&&&&&''''''''''''%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&&&&&&&&&&%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%&&&&&&$$$######$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$)))'''%%%%%%'''((('''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''''''''&&&&&&&&&%%%%%%%%%''''''''''''&&&&&&%%%%%%''''''&&&&&&&&&%%%%%%%%%&&&&&&%%%$$$$$$%%%&&&&&&&&&&&&%%%$$$$$$###""""""''''''&&&&&&&&&%%%%%%%%%&&&&&&''''''''''''&&&&&&'''''''''&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((()))***++++++++++++***))))))(((''''''***************)))((('''''''''((((((((()))))))))(((((()))***************+++++++++*********))))))++++++++++++++++++++++++************************+++++++++++++++,,,,,,---,,,,,,------//////000000------,,,++++++***))))))******+++,,,,,,,,,+++***++++++++++++++++++++++++***))))))(((((()))))))))*********+++++++++,,,,,,***+++,,,---......------............///000111222111111000/////////000000------------------,,,,,,------------------------,,,,,,,,,,,,++++++++++++***)))((((((''''''((((((***+++)))%%%&&&***+++)))'''((()))******)))(((''',,,++++++******)))))))))*********)))))))))(((((((((''''''((())))))(((&&&'''(((((((((((((((''''''***)))((((((((((((((((((((((((((((((((((((((((((+++***(((''''''((()))***'''''''''''''''&&&&&&%%%'''''''''(((((()))))))))))))))))))))((('''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&'''&&&&&&%%%%%%&&&&&&'''$$$%%%&&&'''''''''&&&&&&&&&&&&%%%%%%&&&&&&'''(((++++++***)))((('''&&&&&&))))))))))))((((((((((((((((((((()))***+++++++++(((((())))))))))))((((((******))))))))))))******))))))((('''''''''''''''&&&&&&''')))******(((&&&((())))))'''%%%$$$&&&''''''&&&%%%$$$$$$%%%&&&'''&&&&&&&&&&&&%%%$$$######$$$&&&'''&&&%%%$$$%%%'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''''''''&&&&&&&&&&&&''''''''''''(((###$$$%%%'''((()))))))))''''''&&&&&&''''''((()))((((((((('''&&&%%%$$$$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$"""###$$$$$$%%%%%%$$$$$$&&&&&&&&&&&&''''''''''''&&&&&&%%%%%%$$$$$$######$$$%%%%%%&&&&&&%%%%%%$$$''''''((((((((((((''''''&&&%%%%%%$$$$$$%%%%%%&&&&&&''''''&&&$$$$$$%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$########################%%%%%%%%%$$$$$$$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%&&&'''((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%&&&&&&'''(((''''''&&&&&&&&&%%%%%%%%%(((((((((''''''''''''&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&%%%###"""!!!!!!'''&&&&&&&&&&&&%%%%%%%%%&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''$$$%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((()))***++++++---,,,+++***)))((('''''')))))))))******)))((((((((((((((()))))))))******(((((()))***************,,,+++***)))((()))******++++++++++++++++++++++++************************,,,,,,++++++,,,,,,---...+++,,,,,,,,,------------,,,,,,,,,+++******))))))))))))***+++,,,,,,,,,+++,,,,,,,,,,,,,,,,,,,,,,,,+++++++++******++++++,,,+++++++++,,,,,,,,,------,,,+++++++++++++++,,,,,,............///000111222111000000///......//////,,,,,,,,,,,,,,,,,,,,,,,,...---,,,++++++,,,---...,,,,,,,,,+++++++++******(((((()))))))))((('''&&&***+++***&&&&&&***+++)))(((((())))))))))))((((((,,,,,,+++***)))(((((('''******))))))))))))(((((((((''''''((())))))(((&&&'''(((((())))))(((((((((((((((((('''(((((())))))((((((((((((((((((((((((+++***((('''&&&&&&''''''((('''&&&&&&%%%%%%&&&&&&'''''''''''''''''''''((('''&&&&&&%%%$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&%%%%%%%%%%%%&&&&&&###$$$$$$%%%&&&&&&''''''''''''&&&&&&&&&&&&''''''%%%&&&&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&''''''+++*********))))))(((((())))))))))))((((((((((((((((((((())))))*********(((((())))))))))))((((((***))))))))))))))))))***))))))((('''''''''''''''((('''&&&'''((((((&&&$$$'''(((((('''&&&%%%&&&''''''&&&%%%%%%%%%%%%&&&'''%%%&&&'''''''''%%%$$$###$$$%%%&&&&&&$$$$$$%%%&&&&&&&&&&&&'''''''''''''''&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''((((((''''''&&&&&&&&&''''''''''''((('''''''''((((((((((((((((((''''''''''''((())))))((()))***)))((('''%%%$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&&&&'''''''''&&&&&&&&&%%%%%%$$$######$$$%%%%%%&&&&&&%%%%%%$$$''''''((((((((((((''''''&&&%%%%%%$$$$$$%%%%%%&&&'''''''''%%%######%%%'''$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''''''''&&&&&&&&&%%%%%%%%%((((((((((((((((((((('''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&%%%%%%&&&&&&&&&(((((('''&&&&&&%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%&&&&&&'''$$$$$$%%%%%%&&&'''((((((''''''''''''''''''''''''&&&&&&'''((()))***++++++...---,,,+++***(((((('''(((((()))))))))))))))((())))))))))))************(((((()))***************,,,+++)))'''''')))***+++++++++++++++++++++++++++************************,,,,,,,,,+++,,,,,,---...,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++******))))))(((((()))***+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,......---------...//////,,,,,,,,,---------.........---+++******+++,,,---...............///111111000000///...------------++++++++++++,,,,,,,,,,,,...---+++******,,,...///------------,,,,,,,,,,,,******************))))))))),,,,,,((('''***+++)))(((((())))))))))))((((((++++++******))))))((((((***)))))))))(((((((((((((((''''''((())))))(((&&&'''(((((())))))))))))((('''''''''''''''((()))***(((((((((((((((((((((((()))((('''&&&&&&&&&&&&''')))((('''&&&%%%&&&'''''''''''''''''''''&&&&&&&&&%%%%%%$$$%%%&&&(((***+++''''''''''''''''''''''''''''''''''''''''''''''''(((((('''&&&&&&&&&''''''%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&&&&&&&'''''''''&&&&&&&&&&&&'''(((((((((''''''&&&''''''((((((((()))))))))******++++++))))))))))))(((((((((((()))))))))(((((('''''''''(((((())))))))))))(((((()))))))))******)))))))))))))))((('''''''''''''''&&&$$$""""""$$$&&&'''(((&&&'''((((((&&&%%%&&&'''&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&'''(((((('''%%%$$$$$$%%%&&&%%%$$$$$$%%%&&&&&&&&&&&&''''''(((((((((&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''((((((''''''&&&&&&&&&''''''''''''((((((((('''(((((((((((()))(((''''''''''''((())))))%%%%%%&&&&&&%%%$$$"""!!!%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&''''''''''''&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&$$$""""""$$$&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&###$$$&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%&&&''''''&&&&&&&&&%%%%%%%%%'''(((((((((((((((((((((''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$###$$$$$$%%%&&&&&&$$$$$$%%%%%%&&&'''((((((''''''''''''''''''''''''&&&&&&'''((()))***++++++------,,,+++***)))(((''''''(((((()))))))))(((((())))))))))))************(((((()))***************+++***(((''''''(((***,,,++++++++++++++++++++++++************************,,,++++++++++++,,,------------,,,,,,,,,,,,++++++++++++***************)))(((((())))))***+++,,,---,,,,,,,,,,,,,,,,,,,,,,,,******))))))***+++,,,,,,,,,,,,---------.........///...,,,******+++---...------------...///000111000///...---,,,,,,,,,,,,*********+++++++++,,,,,,---,,,***)))***,,,...///------,,,,,,,,,+++++++++,,,***(((''''''(((+++,,,)))---...***(((***+++***))))))(((((((((((())))))((((((((())))))******+++)))))))))(((((((((((('''(((''''''((())))))(((&&&''''''((()))******))))))''''''&&&''''''((())))))((((((((((((((((((((((((&&&&&&&&&&&&&&&'''((((((+++***((('''''''''((()))'''''''''''''''&&&&&&&&&))))))((()))***,,,...///''''''''''''''''''''''''''''''''''''''''''''''''******)))((((((((((((((('''''''''&&&&&&%%%%%%%%%(((''''''&&&&&&''''''(((''''''&&&&&&&&&'''((()))))))))((((((((((((((()))''''''((()))***+++,,,,,,))))))))))))(((((((((((()))))))))((('''&&&&&&&&&(((((())))))))))))(((((())))))************))))))))))))((('''''''''''''''$$$!!! $$$(((+++,,,%%%'''(((((('''&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((''''''&&&&&&###%%%&&&%%%$$$###$$$&&&%%%%%%&&&&&&'''(((((((((''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''''''''&&&&&&&&&&&&''''''''''''(((%%%%%%&&&&&&((()))+++,,,''''''&&&&&&''''''((()))&&&&&&&&&&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$"""###$$$$$$%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&&&&&&&&&&%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%&&&&&&%%%###"""$$$%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$&&&&&&!!!$$$&&&'''&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$############$$$%%%%%%''''''&&&&&&&&&%%%%%%%%%&&&''''''''''''(((((((((''''''&&&&&&&&&%%%%%%%%%&&&&&&''''''''''''&&&&&&"""######$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&&&&'''&&&&&&'''&&&&&&%%%$$$###&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%############$$$%%%&&&&&&$$$%%%%%%&&&&&&'''''''''''''''''''''''''''''''''&&&&&&'''((()))***+++++++++++++++***))))))((((((((((((((())))))(((''''''((((((((()))))))))******(((((()))***************))))))((('''((()))***+++++++++++++++++++++++++++************************++++++******++++++,,,---,,,,,,,,,,,,,,,+++++++++************************)))))))))))))))***+++,,,,,,,,,,,,,,,,,,,,,,,,,,,(((((((((((()))***++++++,,,,,,,,,---------.........---,,,***+++,,,...///------------...///000111//////---,,,++++++++++++)))))))))******++++++,,,++++++******+++,,,---...*********)))))))))((((((***(((%%%###$$$&&&)))+++)))...000,,,((()))+++***))))))(((((((((((())))))&&&''''''((()))***++++++))))))((((((((((((''''''(((''''''((())))))(((&&&''''''((()))************'''''''''&&&''''''((((((((((((((((((((((((((((((%%%%%%&&&&&&'''(((((()))+++***))))))(((((())))))'''''''''''''''''''''((()))(((((('''&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''+++***)))(((((((((((((((((((((''''''&&&%%%%%%$$$((((((''''''''''''((((((&&&&&&'''''''''(((((((((***)))(((((('''((((((((('''(((((())))))*********))))))))))))(((((((((((()))))))))((((((((((((((((((((())))))))))))((((((((()))***++++++***)))((())))))((('''''''''''''''&&&$$$###$$$&&&((())))))$$$&&&((()))'''&&&&&&'''%%%&&&&&&&&&&&&&&&&&&%%%'''&&&&&&%%%%%%&&&&&&'''###%%%%%%%%%$$$###$$$%%%$$$%%%%%%&&&''''''((((((((((((((('''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((&&&&&&%%%&&&&&&((()))***&&&&&&&&&&&&&&&''''''((((((''''''''''''((())))))%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$"""###$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$%%%%%%&&&'''''''''$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&&&&&&&&&&%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%&&&''''''%%%$$$$$$%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&$$$######$$$&&&''' ###'''(((&&&%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&''''''''''''''''''&&&&&&&&&%%%%%%%%%%%%&&&'''(((((('''&&&%%%###$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&%%%$$$######'''''''''&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$######$$$%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&'''((()))***++++++))))))))))))))))))))))))))))))))))))((('''&&&&&&''''''((((((((()))))))))(((((()))***************(((((((((((())))))******++++++++++++++++++++++++******************************))))))******+++,,,************************))))))))))))******************)))(((((()))***+++++++++++++++++++++++++++************+++,,,---...+++,,,,,,,,,------------++++++******+++,,,---...------------...///000000///...---+++******))))))(((((())))))***++++++,,,)))******+++,,,,,,------***)))))))))((((((((((((''''''%%%%%%%%%'''(((***)))///111---))))))++++++***)))(((''''''((()))***''''''(((((())))))******))))))((((((((('''''''''(((''''''((())))))(((&&&''''''(((******++++++***(((((('''&&&&&&&&&''''''((((((((((((((((((((((((&&&''''''((((((((('''''')))))))))))))))((((((''''''''''''(((((()))))))))%%%%%%$$$$$$###"""!!! ''''''''''''''''''''''''''''''''''''''''''''''''***)))((('''&&&&&&&&&&&&'''''''''''''''&&&&&&&&&((((((''''''''''''((((((%%%&&&((())))))(((((('''(((((('''&&&&&&&&&&&&&&&))))))))))))(((((((((((())))))))))))(((((((((((((((((())))))******++++++(((((())))))))))))((((((((()))***++++++***)))((())))))((('''''''''''''''+++***)))))))))'''$$$"""$$$&&&((()))(((&&&&&&'''%%%&&&&&&''''''&&&&&&%%%&&&%%%$$$###$$$%%%&&&'''###$$$%%%%%%######$$$%%%$$$$$$%%%%%%&&&'''(((((()))(((((((((((('''''''''%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%&&&&&&&&&'''''''''((((((***)))'''&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&''''''%%%$$$######$$$%%%'''(((%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%&&&'''''''''&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&###$$$$$$%%%&&&'''(((((($$$%%%%%%&&&&&&%%%%%%$$$%%%&&&&&&&&&&&&&&&&&&%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%'''))))))'''&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$#################################$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&$$$######$$$&&&'''###'''(((&&&%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%&&&''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&&&&%%%%%%%%%%%%&&&'''(((((('''&&&%%%'''''''''&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&'''''''''&&&'''&&&&&&%%%$$$###"""(((((('''&&&%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$%%%&&&'''((()))&&&&&&&&&&&&&&&&&&%%%%%%((((((((((((((((((((((((&&&&&&'''((()))***++++++(((((((((((())))))))))))))))))))))))((('''%%%%%%''''''''''''(((((((((((((((((()))***************&&&'''((()))******))))))++++++++++++++++++++++++************************)))))))))((()))******+++(((((((((((()))))))))***)))))))))))))))*********+++***)))(((((()))******************************))))))))))))***+++,,,---+++++++++,,,,,,,,,------))))))))))))***+++,,,------------------...000000///...---+++***)))))))))'''(((((()))***+++++++++((()))***,,,,,,------,,,++++++++++++************''''''((()))******)))))))))000222...))))))++++++***)))(((''''''((()))***))))))))))))(((((((((((()))(((((((((''''''''''''(((''''''((())))))(((&&&''''''(((******+++++++++)))((('''&&&&&&&&&&&&&&&(((((((((((((((((((((((())))))))))))((('''&&&%%%'''((()))))))))(((&&&%%%&&&''''''((()))***++++++$$$%%%'''(((((('''&&&%%%(((((((((((((((((((((((('''''''''''''''''''''''')))((('''&&&%%%$$$$$$$$$%%%%%%&&&&&&'''(((((((((((((((''''''''''''((((((%%%&&&(((******)))'''&&&'''&&&%%%%%%$$$$$$$$$$$$))))))))))))))))))))))))))))))(((((((((((())))))((()))***++++++***)))(((&&&&&&'''((())))))(((((('''''''''((((((((((((((((((((())))))))))))((((((''''''''''''''''''''''''(((''''''''''''&&&&&&&&&%%%%%%&&&''''''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((()))***+++(((((((((((((((((('''''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$#########$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###&&&&&&&&&&&&%%%%%%$$$###&&&%%%$$$%%%&&&&&&%%%###&&&$$$###$$$%%%$$$!!! """$$$&&&'''(((''''''%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%%%%%%%&&&'''&&&((()))(((%%%$$$###$$$''''''''''''''''''''''''&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$######$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&'''''''''$$$%%%''''''&&&"""$$$$$$###""""""###$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&'''''''''(((''''''&&&&&&&&&%%%%%%%%%''''''&&&%%%%%%$$$#########$$$$$$%%%%%%$$$$$$###$$$%%%&&&'''''''''&&&%%%'''&&&&&&&&&&&&'''(((((('''''''''''''''''''''''''''&&&&&&''''''((()))***)))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''))))))))))))(((***)))'''((()))***((('''((()))***)))'''%%%&&&'''((((((''''''''''''(((((('''''''''''''''((()))***++++++******)))(((((('''&&&$$$###%%%(((***)))'''+++)))'''''')))))))))((()))((('''''''''(((***++++++******))))))******+++((((((((()))***,,,---...((()))***+++++++++++++++))))))(((((((((***+++,,,*********)))))))))))))))*********,,,...///...,,,,,,,,,+++******+++,,,,,,+++++++++,,,,,,---------------------,,,,,,+++***((((((((((((((((((((((((******))))))((((((''''''+++*********))))))(((((())))))))))))((('''%%%###))))))))))))))))))))))))''''''''''''((((((((((((+++*********))))))(((((((((((('''&&&%%%$$$######)))(((((('''''''''((((((((((((((((((((('''''''''***)))((('''''''''''''''''''''''''''''''''&&&&&&(((((((((((((((((((((((()))(((&&&$$$$$$&&&((()))(((((())))))((('''&&&&&&&&&&&&&&&''''''''''''((('''&&&&&&((()))(((&&&$$$(((((()))***+++++++++***)))((('''&&&%%%$$$$$$$$$''''''''''''''''''''''''((((((((('''&&&&&&%%%%%%$$$$$$$$$%%%&&&'''((()))))))))((((((((())))))***************************))))))(((((((((((())))))((()))***++++++***)))((('''((())))))*********)))(((((((((((((((((((((((((((((())))))))))))((((((''''''''''''''''''''''''))))))((((((((('''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((()))******'''''''''''''''''''''''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$###&&&%%%$$$%%%&&&&&&%%%###)))((('''((())))))&&&###!!!"""$$$&&&'''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%%%%%%%&&&'''&&&'''((('''&&&$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%$$$###''''''&&&%%%%%%&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&&&&&&&'''''''''((('''''''''&&&&&&&&&%%%''''''&&&%%%%%%$$$######$$$$$$%%%%%%%%%%%%$$$$$$$$$%%%&&&'''''''''&&&&&&&&&&&&&&&&&&&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((()))***(((''''''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''((()))))))))(((***((('''((()))))))))''''''((())))))''''''(((***((((((''''''''''''(((((((((''''''''''''(((((()))((((((((((((((((((((()))***)))((())),,,---,,,***+++)))(((((()))***)))))))))(((((('''((()))***+++++++++************++++++))))))(((((((((((())))))******+++++++++******))),,,+++***)))))))))***+++***)))))))))))))))))))))+++++++++---/////////---,,,,,,+++******+++,,,,,,++++++,,,,,,,,,,,,,,,,,,,,,---------,,,,,,+++***((((((((((((((((((((((((!!!"""$$$'''***,,,...///************)))))))))(((&&&((())))))((('''&&&&&&((((((((((((((((((((((((''''''''''''((((((((((((******)))))))))((((((((()))))))))(((((((((((((((***))))))((((((((())))))((((((((((((((((((((('''(((''''''''''''(((((()))''''''''''''''''''''''''((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((('''&&&&&&&&&&&&&&&''''''''''''((()))((('''((()))***(((&&&%%%%%%&&&'''''''''&&&&&&)))((('''&&&%%%%%%%%%%%%''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%%%%%%%&&&''''''((((((((((((''''''(((((()))***************************))))))(((((())))))***))))))************))))))))))))***++++++++++++***(((((((((((((((((((((((((((((())))))))))))((((((''''''''''''''''''''''''***)))))))))(((((((((((((((''''''&&&%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((())))))***&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&''''''''''''(((''''''''''''''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%((((((((('''&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&&&&%%%$$$$$$%%%$$$$$$%%%&&&'''%%%###&&&%%%%%%&&&''''''%%%$$$###$$$%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&$$$&&&((('''&&&%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&$$$%%%%%%%%%%%%%%%%%%&&&$$$$$$$$$$$$############%%%$$$######$$$&&&'''((((((''''''&&&&&&''''''((($$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&&&&&&&'''''''''(((((((((((('''''''''''''''&&&&&&%%%%%%$$$$$$###$$$$$$%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&''''''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''((()))***'''&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&'''((((((((((((((()))(((''''''((())))))(((&&&((())))))))))))***,,,)))((((((''''''(((((())))))((((((''''''''''''(((%%%&&&&&&'''((())))))***---+++***+++------,,,++++++)))(((((()))******))))))(((((((((((()))***+++,,,,,,++++++++++++,,,,,,,,,+++***)))(((''''''''',,,,,,,,,,,,+++***)))(((---,,,+++***))))))))))))))))))))))))))))))******,,,,,,,,,---///000///---,,,++++++******++++++,,,,,,,,,,,,,,,,,,+++++++++,,,,,,---------,,,++++++))))))))))))))))))))))))'''''''''(((((()))))))))************))))))))))))'''***------+++***+++...((((((((((((((((((((((((''''''''''''(((((((((((())))))((((((((((((((('''((((((((())))))***************))))))))))))******''''''(((((((((((((((((('''&&&&&&''''''((()))***''''''''''''''''''''''''(((((((((((((((((((((((('''((()))******)))((('''(((((((((((((((''''''&&&&&&&&&&&&''''''''''''((()))'''&&&&&&'''(((((('''''''''((((((((('''&&&&&&(((((('''&&&%%%%%%%%%%%%''''''''''''''''''''''''&&&&&&&&&''''''''''''''''''&&&&&&&&&&&&&&&''''''(((''''''&&&&&&&&&''''''***************************))))))))))))))))))***)))))))))******)))))))))******++++++++++++******)))))))))((((((((((((((((((((())))))))))))(((((('''''''''''''''''''''''')))))))))(((((((((''''''''''''&&&&&&%%%%%%%%%%%%''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''((())))))%%%%%%%%%&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&''''''''''''((('''''''''''''''''''''''''''&&&&&&&&&&&&%%%%%%%%%''''''''''''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$%%%$$$$$$%%%&&&'''%%%$$$#########$$$%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%''''''&&&%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$$$$$$$%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%$$$$$$#########"""""""""!!!"""###$$$%%%&&&%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&'''''''''((((((((()))))))))(((((((((((((((&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''((())))))&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((()))'''&&&&&&((())))))(((''')))******))))))***,,,))))))(((((((((((())))))***)))((('''''''''''''''&&&&&&'''(((((())))))***+++******************))))))(((&&&'''((())))))((()))))))))))))))*********---,,,,,,++++++,,,,,,---...---,,,+++***)))))))))+++,,,,,,,,,++++++***)))******)))))))))((((((((()))))))))))))))*********,,,++++++,,,...///...,,,++++++++++++++++++++++++---,,,,,,,,,++++++******,,,,,,,,,------,,,,,,+++************************...---,,,)))'''%%%###"""*********)))))))))))))))(((+++...---***)))+++...((((((((((((((((((((((((''''''''''''((((((((((((((((((((((((''''''''''''''''''''''''(((((((((((())))))(((((())))))******''''''''''''(((((((((((((((''''''''''''(((((()))&&&&&&&&&'''''''''''''''((((((((((((((((((((((((''''''(((((((((((('''''''''(((((((((((((((''''''&&&&&&&&&''''''''''''((('''%%%###"""$$$&&&&&&&&&(((((()))(((((('''&&&&&&(((((('''&&&&&&&&&&&&&&&'''''''''''''''''''''''''''''''''''''''&&&&&&&&&(((''''''&&&&&&&&&&&&'''''''''&&&%%%%%%%%%&&&&&&******************************))))))))))))*********))))))))))))))))))************++++++******)))******))))))(((((((((((((((((())))))))))))((((((((((((((((((((((((((((((((((((((('''''''''&&&&&&%%%%%%%%%&&&&&&'''''''''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''((((((%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%%%%$$$$$$###%%%''''''&&&$$$$$$%%%%%%&&&&&&&&&'''(((&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%''''''&&&%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%""""""""""""############$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$######""""""###$$$$$$$$$############$$$$$$$$$$$$######&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''(((((((((((()))))))))))))))))))))))))))))))))&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''%%%%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''((()))%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''')))'''%%%%%%''')))))))))***++++++***)))(((((()))))))))(((((((((((())))))***)))((('''''''''''''''))))))))))))))))))))))))))))))))))))((((((((()))'''&&&%%%%%%'''(((((((((((())))))***************---,,,,,,++++++,,,,,,---,,,,,,+++++++++++++++,,,******+++,,,,,,,,,,,,,,,&&&''''''(((((()))))))))(((((())))))************+++******+++------,,,***++++++++++++++++++++++++,,,,,,,,,++++++*********+++,,,,,,------,,,,,,,,,++++++++++++++++++++++++))))))))))))))))))))))))))))))))))))))))))******''')))***)))&&&%%%''')))''''''''''''''''''''''''''''''''''''((((((((((((''''''''''''(((((((((((((((((((((((('''''''''''''''''''''''''''((()))***&&&'''''''''(((((())))))******)))''''''&&&&&&&&&&&&&&&&&&'''''''''((((((((((((((((((((((((((((((((('''%%%$$$$$$%%%'''(((''''''((((((((((((((('''&&&&&&&&&''''''''''''(((&&&$$$""""""$$$&&&'''&&&%%%%%%%%%%%%$$$######"""(((((('''&&&&&&&&&''''''''''''''''''''''''''''''))))))((('''&&&%%%%%%%%%(((((('''&&&&&&&&&''''''''''''&&&%%%%%%%%%%%%%%%+++++++++++++++++++++++++++******))))))******+++******))))))))))))************+++++++++***))))))+++******))))))(((((('''(((((())))))))))))((((((((((((((((((((((((((((((''''''''''''&&&&&&&&&&&&%%%%%%&&&&&&'''(((((()))''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''%%%%%%%%%&&&''''''(((((('''''''''''''''(((((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&%%%###$$$$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&###$$$$$$%%%%%%$$$$$$###$$$$$$%%%&&&&&&&&&%%%%%%$$$######%%%''''''&&&%%%###$$$%%%$$$###$$$%%%'''&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$$$$&&&((('''&&&%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&""""""""""""#########$$$$$$%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&''''''%%%$$$###$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''''''''((((((((()))))))))(((((((((((())))))))))))%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%&&&%%%%%%%%%%%%&&&'''(((%%%%%%%%%%%%%%%&&&&&&'''''''''''''''''''''''''''%%%%%%%%%%%%&&&'''((()))%%%%%%%%%%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%&&&&&&'''''')))&&&$$$$$$&&&(((*********++++++***(((''''''(((***))))))(((((())))))***)))((((((''''''''''''(((************))))))))))))(((***+++***))))))***+++'''&&&%%%%%%'''))))))(((((()))******++++++******,,,,,,++++++++++++,,,,,,)))))))))))))))***+++,,,)))***+++,,,------------%%%&&&'''((())))))))))))((((((((()))******+++++++++***)))***,,,,,,+++)))***++++++,,,,,,++++++***+++++++++++++++*********++++++,,,---------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,)))))))))******+++++++++))))))))))))************,,,+++***)))))))))))))))''''''''''''''''''''''''''''''''''''(((((((((((('''(((((((((((()))))))))*********))))))((((((((('''&&&&&&''''''((()))***&&&&&&''''''((())))))))),,,+++)))(((&&&%%%%%%%%%%%%%%%&&&&&&'''((((((((((((((((((((((((((((((((((((&&&$$$""""""$$$&&&(((&&&'''((((((((((((((((((&&&&&&&&&''''''''''''((('''&&&%%%&&&((())))))(((%%%&&&&&&&&&&&&%%%%%%$$$(((((('''''''''''''''((('''''''''''''''''''''''')))(((((('''&&&&&&%%%%%%((('''''''''''''''((((((((('''&&&&&&%%%%%%%%%%%%+++++++++++++++++++++++++++******))))))******++++++***)))(((((()))***+++,,,,,,,,,,,,,,,+++******++++++******)))(((((('''(((((())))))))))))((((((((((((((((((((((((((((((((((((((((((''''''''''''((((((((((((((((((((((((''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''%%%&&&&&&'''(((((())))))&&&'''''''''((((((((()))%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''&&&&&&&&&''''''''''''(((''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''''''''$$$%%%%%%%%%%%%%%%%%%$$$###$$$%%%%%%&&&&&&&&&%%%#########%%%'''((('''%%%"""###$$$###!!!!!!###&&&&&&%%%$$$$$$$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%%%%%%%$$$###&&&'''((('''&&&$$$$$$%%%########################"""#########$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&###$$$$$$$$$%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%$$$############$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&''''''&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&'''''''''''''''''''''(((((()))))))))%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&%%%%%%%%%&&&'''(((%%%%%%$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&'''((((((&&&&&&%%%%%%&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%%%%&&&'''(((&&&$$$###%%%(((******''')))***)))''''''((()))******))))))))))))******(((''''''''''''(((((()))''''''(((((()))*********''')))++++++))))))+++---((('''&&&''')))++++++***((()))***+++++++++******++++++************++++++***)))))))))******+++,,,++++++,,,,,,---,,,,,,,,,((()))***++++++***))))))'''(((((()))******++++++,,,+++***+++,,,,,,+++)))***+++,,,,,,,,,,,,+++***************++++++++++++***+++,,,,,,---------,,,,,,,,,,,,,,,,,,,,,,,,,,,...------,,,+++***))))))((()))))))))************---)))&&&'''***---+++)))''''''''''''''''''''''''''''''''''''((((((((((((((((((((()))))))))******((((((((((((((()))))))))''''''''''''((()))***+++&&&&&&''''''((())))))***+++***)))''''''&&&&&&&&&%%%%%%&&&&&&'''(((((()))(((((((((((((((((((((((('''&&&%%%%%%%%%%%%&&&'''&&&&&&'''(((((((((((((((&&&&&&&&&''''''''''''((('''&&&&&&(((***+++***((('''(((((())))))))))))(((((((((''''''''''''((((((''''''''''''''''''''''''&&&&&&&&&'''''''''((((((''''''&&&''''''((()))***)))((('''&&&%%%%%%%%%%%%++++++++++++++++++++++++++++++************+++++++++***)))(((((()))***+++---.........---,,,,,,++++++++++++***)))(((((('''(((((())))))))))))(((((())))))))))))))))))))))))))))))))))))((((((((((((*********)))((((((''''''((((((((((((((((((((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''((()))******&&&'''''''''(((((())))))%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''((((((&&&&&&&&&'''''''''(((((())))))))))))))))))))))))(((((('''''''''&&&&&&&&&)))))))))(((''''''&&&&&&''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%###$$$%%%%%%&&&&&&&&&&&&#########%%%'''((('''%%%'''((()))'''$$$$$$'''***%%%%%%$$$###$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&&&&%%%$$$###&&&((()))(((%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%""""""######$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%&&&&&&&&&'''''''''&&&&&&&&&%%%%%%$$$$$$$$$!!!!!!""""""######$$$$$$%%%###!!! ###&&&((($$$$$$%%%&&&&&&%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$%%%%%%%%%&&&&&&&&&'''''''''(((((())))))%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%&&&&&&%%%$$$%%%&&&'''(((%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((((((&&&&&&&&&&&&&&&'''((()))&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%$$$%%%&&&'''(((&&&######%%%(((******%%%&&&(((((('''''')))*********))))))))))))******'''''''''''''''((()))***$$$%%%&&&'''(((***++++++$$$'''))))))((('''***,,,***)))((()))+++------,,,((()))***+++,,,+++******+++******************+++------,,,,,,+++,,,,,,---------------,,,+++******,,,,,,------,,,+++)))((('''(((((()))***+++++++++---,,,+++,,,------,,,******+++,,,------,,,+++***))))))******+++++++++,,,***+++,,,,,,------------------------------------,,,,,,,,,,,,,,,,,,------(((((())))))*********+++&&&!!!%%%)))((($$$''''''''''''''''''''''''''''''''''''((((((((()))(((((())))))******++++++######$$$%%%&&&'''((()))(((((((((((()))***+++,,,&&&&&&&&&'''((())))))***)))(((((('''''''''((((((%%%%%%&&&&&&'''((())))))((((((((((((((((((((((((&&&&&&'''(((((('''&&&&&&&&&&&&'''((())))))((((((&&&&&&&&&'''''''''(((((($$$$$$%%%''')))***(((&&&$$$$$$%%%&&&'''''''''&&&(((((('''''''''(((((()))''''''''''''''''''''''''######$$$&&&((()))***+++&&&&&&&&&'''''')))***+++***)))((('''&&&%%%%%%%%%,,,,,,++++++***)))))))))************************,,,+++)))(((((()))+++,,,******++++++++++++******,,,+++***))))))***+++,,,******++++++++++++******)))))))))))))))*********)))))))))))))))))))))))))))((('''&&&&&&'''((()))+++***)))(((&&&&&&%%%%%%((('''&&&%%%$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%((()))))))))'''''')))++++++++++++***)))((((((''''''&&&&&&%%%%%%&&&&&&'''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%((((((((((((((((((((((((''''''&&&&&&&&&%%%%%%%%%###$$$&&&&&&&&&&&&$$$######$$$&&&''''''&&&$$$######&&&'''((('''&&&''')))***)))'''%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((((('''&&&%%%((('''&&&%%%%%%%%%%%%%%%"""###$$$%%%&&&%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%)))(((&&&###!!! $$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%$$$###""""""$$$$$$$$$%%%%%%%%%&&&&&&''''''''''''(((((((((((((((&&&$$$""""""$$$&&&((((((%%%$$$$$$'''(((&&&$$$&&&&&&%%%%%%%%%%%%$$$$$$&&&%%%%%%%%%%%%&&&'''''''''&&&&&&%%%%%%&&&&&&'''$$$$$$%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((((('''&&&%%%&&&(((***,,,((((((((((((((((((((((((************)))'''&&&%%%(((((((((((((((((((((((((((((()))***************(((((((((((())))))))))))(((((((((((())))))))))))))))))*********+++++++++******+++++++++,,,,,,,,,++++++++++++******))))))((((((((((((((()))))))))******)))((((((((((((((()))))))))((())))))***+++*********++++++,,,,,,---,,,,,,+++******+++,,,,,,,,,+++******))))))******,,,,,,,,,---------......///...---,,,,,,---...//////+++(((''')))++++++*********+++***'''&&&''''''))))))))))))))))))))))))&&&&&&''''''(((((())))))((((((((((((((('''''''''(((((())))))))))))((((((******)))''''''&&&&&&&&&'''&&&&&&''''''((()))***'''((()))***************'''(((***)))'''&&&&&&'''((('''&&&&&&((()))((((((((((((((((((((((((((((((''')))***)))((('''(((***'''(((((((((((((((''''''''''''((((((((((((''''''&&&&&&&&&''''''''''''((('''&&&&&&&&&&&&'''((((((''''''''''''''''''''''''&&&&&&%%%&&&''')))+++,,,''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''(((%%%%%%%%%$$$$$$$$$######***************+++++++++************************+++***)))(((((()))***+++***++++++,,,,,,++++++***++++++***))))))***++++++******++++++++++++***************)))))))))))))))(((((((((((((((((((((((()))(((''''''''''''((()))(((''''''''''''((())))))''''''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((((('''%%%%%%&&&'''++++++***))))))((('''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((''''''''''''&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%&&&''''''''''''&&&%%%&&&&&&&&&&&&&&&&&&%%%%%% """%%%&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((((('''&&&%%%((('''&&&%%%%%%%%%%%%&&&%%%%%%&&&&&&''''''&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%$$$###"""""""""$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%$$$######"""%%%%%%&&&&&&&&&'''''''''''''''''''''(((((((((((('''&&&%%%$$$$$$%%%&&&'''(((&&&%%%&&&((()))'''%%%&&&&&&%%%%%%%%%%%%$$$$$$&&&%%%%%%%%%%%%&&&'''''''''&&&&&&%%%%%%&&&&&&'''$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&'''''''''''''''''''''''''''''''''&&&&&&''''''''''''''''''&&&%%%%%%%%%&&&''')))***((((((((((((((((((((((((************)))(((&&&&&&(((((((((((((((((((((((((((((()))***************)))))))))))))))(((((((((((())))))))))))*********))))))*********+++++++++******+++++++++,,,,,,,,,,,,,,,++++++************++++++++++++++++++++++++******)))(((((((((((((((***))))))))))))***+++++++++++++++++++++,,,,,,,,,,,,,,,+++******+++,,,,,,...---,,,+++************,,,,,,,,,,,,------------......---,,,,,,---.........+++((((((***+++***))))))***+++***'''&&&'''((())))))))))))))))))))))))(((((())))))************((((((((((((((((((((('''(((((())))))))))))(((((()))(((((('''&&&%%%%%%%%%'''&&&&&&''''''((()))***((()))******************'''(((***)))'''&&&&&&'''000---***)))((('''%%%###((((((((((((((((((((((((''')))***)))((('''((()))))))))((('''&&&$$$###"""''''''(((((((((((('''''''''''''''((((((((())))))'''&&&&&&&&&&&&'''((((((''''''''''''''''''''''''(((((('''&&&'''((())))))'''''''''&&&&&&&&&%%%%%%&&&&&&&&&''''''''''''((('''''''''&&&&&&&&&&&&%%%))))))******+++,,,,,,---***************************)))(((''''''((()))***++++++,,,,,,,,,,,,++++++++++++***))))))***++++++******++++++++++++******++++++******))))))(((((('''''''''''''''''''''''')))((((((''''''(((((()))((('''''''''(((((()))***'''''''''''''''&&&%%%%%%''''''''''''''''''''''''((((((((('''%%%$$$&&&'''******))))))(((((('''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''((((((((((((((((((((((((''''''''''''&&&&&&&&&&&&(((''''''&&&&&&''''''(((''''''''''''''''''''''''+++)))(((&&&%%%&&&''''''!!!$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''''''''&&&&&&''''''&&&%%%%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&'''$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$######&&&&&&&&&'''''''''((((((&&&''''''''''''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((***)))'''%%%&&&&&&%%%%%%%%%%%%$$$$$$&&&%%%%%%%%%%%%&&&'''''''''&&&&&&%%%%%%&&&&&&'''$$$$$$%%%%%%%%%%%%&&&&&&###$$$$$$%%%&&&'''((()))((((((((((((((((((((((((''''''''''''''''''&&&&&&$$$$$$%%%%%%&&&'''''''''(((((((((((((((((((((((())))))***))))))((('''&&&(((((((((((((((((((((((((((((()))************************))))))((((((((())))))))))))***************************+++++++++******+++++++++,,,,,,,,,...---,,,+++***+++,,,------------,,,,,,+++++++++******)))((((((((())))))***************+++,,,,,,,,,,,,,,,,,,++++++++++++,,,++++++******++++++,,,---,,,+++***))))))))))))++++++++++++,,,,,,,,,,,,---,,,,,,++++++,,,,,,---,,,***))))))***+++)))((()))***+++)))'''&&&'''((())))))))))))))))))))))))((())))))))))))*********''''''(((((((((((((((((((((((())))))))))))(((((((((''''''&&&&&&%%%%%%%%%'''&&&&&&''''''((()))*********+++++++++******)))'''(((***)))'''&&&&&&''')))'''%%%&&&'''(((((('''(((((((((((((((((((((((('''((())))))''''''((()))))))))((('''&&&%%%###"""''''''((((((((((((''''''(((((((((((()))))))))***'''&&&&&&&&&&&&'''((((((''''''''''''''''''''''''***)))(((''''''''''''''''''''''''&&&&&&&&&&&&%%%&&&&&&&&&''''''''''''((((((((('''''''''&&&&&&&&&*********++++++,,,,,,,,,******************************))))))))))))************++++++++++++******+++******************+++******++++++++++++******,,,++++++***)))((('''''''''''''''''''''''''''''')))(((((((((((((((((()))+++***)))(((''''''''''''&&&'''((((((((('''%%%$$$''''''''''''''''''''''''((()))))))))'''''')))+++)))))))))((((((''''''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((&&&&&&&&&&&&%%%%%%%%%%%%((('''&&&%%%%%%&&&'''(((''''''&&&&&&&&&&&&'''''''''''''''''''''(((((()))"""$$$&&&'''&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&'''&&&&&&'''&&&&&&%%%%%%%%%&&&&&&%%%$$$###"""###$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((($$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$&&&&&&&&&&&&''''''''''''&&&&&&&&&'''''''''((((((&&&&&&'''(((((('''&&&&&&%%%&&&'''((()))(((&&&%%%&&&&&&%%%%%%%%%$$$$$$$$$&&&%%%%%%%%%%%%&&&'''''''''&&&&&&%%%%%%&&&&&&'''$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$%%%%%%&&&'''(((((('''''''''''''''((((((((('''''''''''''''&&&&&&&&&$$$%%%&&&''''''''''''&&&((((((((((((((((((((((((((())))))))))))(((((('''(((((((((((((((((((((((((((((()))***************++++++******)))(((((((((((((((((()))))))))************************************+++++++++,,,,,,,,,///...,,,++++++,,,---...------,,,+++******))))))******))))))((())))))***++++++******++++++,,,------------,,,,,,++++++***++++++++++++++++++++++++))))))(((((((((((())))))******+++++++++,,,,,,,,,++++++++++++++++++++++++******************)))''')))******)))(((''''''(((((((((((((((((((((((((((''''''''''''''''''''''''''''''''''''(((((((((((((((((())))))))))))(((((((((((((((''''''&&&&&&%%%'''&&&&&&''''''((()))***++++++,,,++++++***))))))'''(((***)))'''&&&&&&'''&&&%%%%%%&&&)))+++,,,+++(((((((((((((((((((((((('''((()))(((''''''((()))'''(((((())))))))))))(((''''''((((((((((((''''''''''''((((((((()))))))))'''&&&&&&&&&&&&'''(((((('''''''''''''''''''''''')))(((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&''''''''''''(((&&&&&&&&&&&&%%%%%%%%%%%%,,,,,,,,,,,,++++++******************************++++++++++++++++++++++++))))))************))))))*********++++++***************++++++++++++******,,,++++++***)))(((''''''''''''''''''''''''''''''((())))))))))))))))))(((+++***)))(((((((((((((((&&&'''((()))((('''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((((((((()))+++---(((((((((''''''''''''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%((((((((((((((((((((((((%%%%%%%%%$$$$$$$$$$$$###'''&&&%%%$$$$$$%%%&&&'''&&&&&&%%%$$$$$$%%%&&&&&&$$$%%%'''(((((('''&&&$$$"""$$$&&&'''&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&'''%%%$$$###"""###$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&%%%&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$########################$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&''''''''''''%%%&&&((())))))(((&&&%%%$$$%%%&&&'''&&&%%%%%%$$$&&&&&&%%%%%%%%%$$$$$$$$$&&&%%%%%%%%%%%%&&&'''''''''&&&&&&%%%%%%&&&&&&'''$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&'''(((((((((((('''(((((((((((((((((((((((('''(((((())))))))))))((((((((((((((((((((((((((((((((()))***************+++*********)))))))))((('''''''''((((((((())))))******************************+++++++++,,,,,,,,,...------,,,,,,---...///---------,,,+++***))))))******))))))))))))******++++++******++++++,,,---...------,,,,,,+++++++++++++++++++++++++++++++++((((((((()))***+++,,,---******+++++++++,,,,,,,,,++++++++++++++++++++++++)))************)))((((((((()))***)))((('''((()))'''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&'''''''''(((((())))))(((((())))))))))))((((((((())))))))))))((('''''''''&&&&&&''''''((()))***+++++++++++++++***)))((('''(((***)))'''&&&&&&'''///---+++***++++++***)))((((((((((((((((((((((((&&&((()))((('''&&&'''((('''(((((()))******))))))''''''((((((((((((''''''&&&&&&'''''''''((((((((('''&&&&&&&&&&&&'''((((((((((((((((((((((((((((((&&&''''''((((((((((((((((((((('''''''''&&&&&&&&&&&&&&&&&&''''''''''''((('''''''''&&&&&&&&&%%%%%%...------,,,++++++******************************,,,,,,,,,,,,,,,,,,,,,,,,*********++++++*********)))***++++++++++++***)))******++++++++++++******++++++******))))))((((((''''''''''''''''''''''''((())))))******))))))((('''''''''((()))***+++,,,'''(((((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&&&&''')))+++''''''''''''''''''&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%((((((((((((((((((((((((%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''((()))(((%%%"""!!!$$$%%%%%%%%%%%%&&&$$$%%%%%%&&&&&&'''''''''%%%$$$$$$$$$%%%&&&'''(((&&&&&&%%%%%%%%%&&&''''''&&&&&&%%%%%%&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%(((''''''&&&%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$########################$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%########################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%&&&&&&&&&&&&'''''''''%%%&&&'''(((((('''&&&%%%###%%%&&&%%%$$$###$$$&&&&&&&&&%%%%%%%%%%%%$$$$$$&&&%%%%%%%%%%%%&&&'''''''''&&&&&&%%%%%%&&&&&&'''$$$$$$%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%&&&'''''''''&&&&&&&&&'''''''''((((((((((((((((((((((((((((((((((((((((((((((((((((((&&&'''((())))))***))))))(((((((((((((((((((((((((((((()))***************************************(((((((((((())))))))))))+++++++++*********************+++++++++,,,,,,,,,,,,,,,------------------.........------,,,,,,,,,******)))))))))***++++++***************+++,,,,,,------------,,,,,,,,,,,,***++++++,,,,,,++++++************+++,,,...///000++++++++++++,,,,,,,,,,,,***++++++,,,,,,++++++***)))***+++***((('''((()))((()))***)))((('''((()))'''''''''''''''''''''''')))))))))(((((((((((('''&&&&&&''''''((()))))))))(((((())))))))))))((((((((()))***++++++***(((((('''&&&&&&''''''((()))***))))))*********))))))((('''(((***)))'''&&&&&&''''''&&&%%%%%%'''))))))(((((((((((((((((((((((((((&&&'''((((((&&&&&&'''((((((((((((((('''&&&%%%%%%''''''((((((((((((''''''&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&'''((((((((((((((((((((((((((((((&&&&&&'''((())))))((((((((((((((('''''''''&&&&&&&&&&&&&&&''''''''''''(((***))))))))))))(((((((((,,,,,,,,,,,,,,,,,,,,,+++************************+++++++++,,,,,,++++++++++++,,,,,,------,,,,,,+++)))***++++++++++++***)))******++++++++++++***************)))))))))))))))((((((((((((((((((((((((((()))************)))((('''''''''((()))+++,,,---)))(((((('''''''''''''''''''''''''''''''''''''''&&&'''((('''%%%%%%&&&(((&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((((((((((((((('''''''''&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$%%%&&&''''''&&&%%%$$$&&&'''''''''&&&$$$###""" """%%%&&&%%%%%%%%%&&&$$$$$$%%%%%%&&&''''''((($$$$$$$$$$$$$$$&&&'''(((%%%%%%%%%%%%%%%&&&'''(((%%%%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$########################$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&'''%%%%%%&&&&&&&&&'''''''''%%%%%%&&&&&&&&&&&&%%%%%%%%%&&&&&&$$$""""""%%%(((&&&&&&%%%%%%%%%%%%$$$$$$&&&%%%%%%%%%%%%&&&'''''''''&&&&&&%%%%%%&&&&&&'''$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&'''((((((((($$$%%%%%%&&&'''((())))))(((((('''&&&&&&&&&'''(((((((((((((((((((((((((((&&&&&&((()))************(((((((((((((((((((((((((((((()))***************)))))))))******++++++,,,)))************++++++++++++++++++*********))))))******+++++++++,,,,,,,,,***+++,,,.........,,,,,,------------,,,,,,,,,,,,******))))))******+++,,,***))))))))))))***++++++,,,,,,,,,---------------***+++,,,,,,,,,,,,+++***+++++++++++++++,,,,,,---,,,,,,,,,,,,------------++++++,,,------,,,++++++)))******)))&&&&&&(((+++''')))***)))((('''(((***))))))))))))))))))))))))))))))((((((((('''''''''&&&&&&''''''((())))))***(((((())))))))))))(((((('''((()))******)))(((''''''&&&&&&''''''((()))***''''''((()))))))))(((((('''(((***)))'''&&&&&&'''!!!%%%(((******((((((((((((((((((((((((&&&'''((((((&&&&&&'''((((((((()))(((((('''&&&%%%''''''((((((((((((''''''''''''''''''(((((((((((('''&&&&&&&&&&&&'''(((((((((((((((((((((((((((((('''(((((())))))((('''&&&((((((((((((''''''''''''&&&&&&&&&''''''''''''(((*********)))))))))((((((***++++++,,,,,,------...******************************++++++++++++******---......//////......---)))***+++,,,,,,+++***)))******++++++++++++******)))))))))))))))*********))))))))))))))))))))))))((()))***++++++***)))(((+++***)))))))))))))))******)))(((&&&&&&'''(((((())))))))))))))))))))))))+++,,,+++)))'''%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''(((((((((((((((((((((((())))))((((((((('''''''''%%%&&&'''(((((('''&&&%%%%%%&&&((())))))(((&&&%%%%%%%%%$$$$$$%%%&&&((()))''')))***)))'''%%%$$$$$$$$$$$$%%%%%%&&&'''(((((($$$$$$######$$$&&&'''(((%%%%%%%%%%%%%%%&&&'''((("""###$$$%%%&&&%%%$$$###&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%'''((('''$$$"""###'''+++&&&&&&&&&%%%%%%%%%$$$$$$&&&%%%%%%%%%%%%&&&'''''''''&&&&&&%%%%%%&&&&&&'''$$$$$$%%%%%%%%%&&&&&&&&&###$$$$$$%%%&&&'''((((((&&&&&&&&&'''((())))))***###$$$%%%&&&''')))******((('''%%%$$$$$$%%%'''(((((((((((((((((((((((((((%%%&&&''')))************(((((((((((((((((((((((((((((()))***************(((((()))***+++,,,,,,---++++++,,,,,,,,,---------++++++++++++******))))))******+++++++++,,,,,,,,,(((***,,,//////...,,,************************+++******))))))***+++,,,,,,)))))))))((()))******+++,,,,,,,,,------.........***+++,,,------,,,+++***+++***)))((('''''''''''',,,,,,------------......+++,,,------------,,,+++***+++***(((%%%%%%(((,,,'''(((***)))(((((()))***************************''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&'''((())))))***(((((())))))))))))((((((%%%'''(((******)))'''&&&'''&&&&&&''''''((()))***&&&&&&'''(((((()))(((((('''(((***)))'''&&&&&&'''((('''&&&&&&((()))))))))((((((((((((((((((((((((&&&'''((('''&&&&&&'''((('''''')))***++++++++++++''''''((((((((((((''''''(((((((((((())))))))))))'''&&&&&&&&&&&&'''(((((()))))))))))))))))))))))))))*********((('''%%%###)))(((((((((''''''''''''&&&&&&&&&'''''''''((((((((((((((((((''''''''''''++++++++++++++++++++++++***))))))((()))+++---...((()))++++++******+++,,,,,,+++)))(((((()))+++,,,++++++++++++******))))))))))))))))))))))))))))))+++++++++***)))((((((''')))(((((('''''''''((((((******))))))((((((''''''(((((((((((())))))))))))&&&'''''''''&&&%%%%%%$$$((((((((((((((((((((((((***((('''%%%%%%'''(((***%%%&&&&&&&&&'''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&((((((&&&%%%%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%$$$$$$#########%%%&&&&&&''''''&&&&&&%%%(((%%%###!!!!!!###%%%(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''))))))((('''&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''&&&'''((('''&&&&&&'''(((((('''&&&%%%$$$%%%%%%&&&!!! $$$&&&&&&$$$###$$$$$$%%%%%%$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&'''&&&&&&%%%%%%########################$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%&&&'''(((((((((((('''&&&%%%%%%%%%%%%(((((('''''''''&&&&&&&&&######$$$%%%%%%&&&&&&'''###$$$%%%%%%%%%%%%&&&'''%%%&&&''''''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%$$$%%%&&&&&&%%%%%%&&&((((((((('''''''''&&&&&&&&&''''''&&&%%%&&&'''((()))&&&&&&&&&&&&'''''''''(((((((((((((((((((((((((((&&&))),,,+++)))((())),,,(((((())))))))))))((((((++++++***)))(((((())))))******))))))***+++,,,,,,******++++++++++++,,,,,,+++++++++++++++***)))((((((((())))))************))))))*********++++++++++++***)))(((((()))***+++******+++++++++,,,,,,,,,************************+++,,,---,,,*********++++++,,,,,,---,,,+++)))(((***)))((((((((()))+++,,,---,,,***))))))***,,,---+++++++++*********))))))))))))))))))))))))))))))((((((((((((((()))******))))))))))))(((((((((((()))(((&&&%%%%%%&&&'''((('''((((((((())))))******''''''''''''''''''''''''((((((((((((((('''''''''&&&%%%&&&(((******)))'''+++++++++***)))(((((('''++++++******))))))(((((('''''''''''''''((()))***(((((('''&&&&&&&&&&&&&&&&&&&&&''''''(((((())))))'''''''''''''''''''''''''''&&&$$$###%%%(((,,,///444///)))$$$###!!!%%%%%%&&&'''((()))******''''''(((((('''&&&%%%%%%&&&&&&&&&)))+++***%%%!!!((((((((((((''''''''''''((((((''''''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&,,,,,,,,,,,,,,,,,,,,,,,,***)))))))))***+++---...(((***++++++******+++,,,...---+++******+++---...++++++++++++*********)))************************,,,,,,,,,+++***))))))))))))(((((('''''''''((((((+++*********)))))))))))))))))))))))))))((((((((('''''''''''''''&&&%%%$$$((((((((((((((((((((((((***)))(((''''''((()))***&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&&&&&&&&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$%%%&&&&&&''''''&&&&&&%%%'''&&&$$$""""""$$$&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&''')))(((((('''&&&&&&%%%%%%'''&&&$$$""""""###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''%%%&&&'''&&&%%%$$$%%%'''((('''&&&%%%%%%%%%&&&&&&%%%###"""$$$''')))(((&&&###$$$$$$%%%%%%$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$%%%&&&&&&&&&&&&&&&%%%%%%########################%%%%%%$$$$$$$$$#########'''&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%&&&''''''(((&&&&&&%%%%%%%%%&&&&&&'''%%%%%%$$$$$$$$$#########&&&&&&&&&%%%$$$$$$######$$$&&&''''''&&&%%%&&&(((%%%&&&''''''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%''''''&&&&&&&&&((((((((('''''''''&&&&&&&&&'''&&&&&&%%%&&&'''((()))&&&&&&'''''''''((((((((())))))))))))))))))))))))''')))******))))))******(((((())))))))))))((((((++++++***)))))))))))))))+++++++++++++++,,,,,,,,,******++++++,,,,,,------,,,,,,,,,,,,,,,+++******)))))))))******+++++++++))))))*********++++++++++++***)))(((((()))***+++******+++++++++,,,,,,,,,++++++++++++++++++++++++)))***+++***((((((((()))+++,,,,,,,,,++++++***)))+++***)))))))))***,,,,,,---,,,***))))))***,,,---+++++++++*********)))))),,,,,,,,,,,,,,,,,,,,,,,,((((((((((((((()))******))))))))))))((((((((((((((((((((()))))))))((((((((((((((())))))*********))))))))))))))))))))))))((((((((((((((((((((('''***(((&&&&&&'''((('''''')))))))))))))))))))))))))))))))))(((((((((((((((&&&&&&&&&&&&&&&'''((()))++++++***)))))))))))))))***))))))(((''''''&&&&&&(((((((((((((((((((((((()))'''&&&%%%&&&'''***,,,444111,,,))))))(((&&&%%%&&&&&&''''''((()))))))))(((((())))))(((((('''&&&)))'''&&&'''))))))'''$$$((((((((((((''''''''''''((((((''''''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&------------------------************+++,,,------)))***++++++******+++,,,...---,,,++++++,,,---...++++++++++++************************************------,,,,,,+++*********(((((((((''''''(((((()))++++++++++++*********************))))))(((((('''''''''''''''''''''&&&%%%((((((((((((((((((((((((************************'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&&&&&&&%%%''''''&&&&&&&&&&&&%%%%%%%%%&&&&&&''''''&&&&&&%%%'''&&&%%%%%%%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''((((((''''''&&&%%%%%%%%%(((&&&""" !!!$$$&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&$$$$$$%%%&&&''''''&&&%%%%%%%%%&&&&&&'''%%%%%%&&&'''(((((('''###$$$$$$%%%%%%$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$'''''''''&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&'''''''''%%%%%%%%%%%%&&&'''(((((('''''''''&&&&&&&&&&&&%%%&&&&&&&&&%%%$$$$$$######&&&(((((((((&&&%%%&&&'''%%%&&&''''''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$###&&&((()))(((''''''''''''''''''''''''&&&&&&&&&'''&&&&&&&&&&&&'''((((((''''''((((((((())))))))))))))))))))))))))))))))))))(((((((((***+++***)))((())))))******))))))(((+++***)))))))))))))))))),,,------------,,,,,,,,,***++++++,,,---......///---------------,,,,,,+++******++++++++++++,,,,,,***************++++++++++++***))))))))))))***+++******+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,)))***+++***((((((((())),,,,,,+++************+++++++++******++++++,,,---,,,+++***))))))***+++,,,+++************)))))))))((((((((((((((((((((((((((((((((((((((()))******))))))))))))((((((((((((&&&(((***,,,---,,,***)))((((((((()))))))))))))))))))))))))))))))))))))))''''''((((((((((((((((((---***&&&%%%%%%'''''''''&&&&&&'''((())))))******''''''''''''(((((((((((((((''''''''''''((()))))),,,+++******))))))******)))))))))(((''''''&&&&&&)))))))))))))))))))))))))))(((((('''''''''((((((000---+++***+++++++++***(((((((((((((((((((((((())))))))))))))))))((('''+++)))'''&&&'''(((((((((((((((((((((''''''''''''((((((''''''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&------------------------++++++++++++,,,,,,------***+++,,,,,,******+++,,,+++******))))))******+++++++++++++++++++++++++++************************,,,,,,+++++++++*********(((((((((((((((((()))***************************++++++******)))(((''''''''''''(((((((((''''''&&&((((((((((((((((((((((((((())))))******))))))(((((((((((('''&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((''''''''''''''''''''''''%%%%%%&&&&&&&&&&&&''''''(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%(((&&&$$$"""!!!###%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$&&&&&&&&&%%%$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%$$$$$$###$$$$$$%%%%%%$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%&&&''''''(((''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%&&&'''(((((((((((((((''''''''''''$$$%%%%%%&&&&&&'''(((((('''(((((('''&&&$$$%%%&&&%%%&&&''''''((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###&&&((()))((('''''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''(((((((((((((((((())))))))))))((((((((((((((((((((((((***(((&&&'''***,,,***((()))))))))******)))))))))******)))))))))))))))***,,,---.........---++++++++++++,,,,,,---...//////,,,,,,------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,******************************************************+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++,,,---,,,*********+++,,,+++***))))))***+++,,,************++++++,,,,,,,,,+++******)))******+++************))))))))))))&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((())))))***))))))))))))(((((((((((('''((()))+++,,,,,,++++++'''''''''''''''(((((((((''''''''''''''''''''''''''''''''''''((((((((((((,,,***((('''((()))((('''&&&&&&''''''(((((())))))'''''''''(((((()))))))))***)))))))))))))))******)))(((((('''''''''''''''%%%&&&&&&'''((()))******((((((((((((((((((((((((''''''((((((((((((''''''((('''&&&&&&''''''(((((())))))((((((''''''''''''(((((()))))))))(((((('''+++***((((((((((((((((((((((((((((((''''''''''''((((((''''''''''''(((((('''''''''''''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,,,,------------***,,,---,,,+++***+++,,,************************+++++++++++++++++++++,,,***************************************)))))))))((((((((((((((()))******)))))))))))))))))))))))),,,++++++***)))(((((('''''''''((())))))((((((((())))))))))))))))))))))))'''(((((())))))(((((('''((((((((('''&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&'''''''''((((((''''''''''''''''''''''''&&&'''''''''((((((((()))(((((('''''''''&&&&&&&&&$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%&&&''''''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&%%%%%%%%%'''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%'''((('''&&&%%%&&&'''%%%&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$###############$$$$$$%%%%%%$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$###$$$$$$%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&&&&&&&((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######&&&&&&''''''((()))))))))&&&''''''&&&$$$###$$$%%%%%%&&&''''''((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''''''''$$$&&&(((((('''&&&''''''&&&'''''''''''''''''''''&&&&&&&&&'''''''''''''''(((((((((((())))))))))))''''''''''''''''''''''''***'''%%%&&&)))+++***((())))))************))))))***)))))))))))))))******+++,,,...//////...,,,***++++++,,,------...//////++++++,,,,,,,,,,,,++++++---,,,,,,,,,,,,,,,,,,,,,******************************++++++++++++************+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++,,,---,,,*********++++++***)))))))))***+++,,,((())))))***************,,,++++++***))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))((((((((((((((())))))***))))))))))))((((((((((((((((((''''''(((***+++,,,&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&'''''''''(((((())))))(((((())),,,------***(((''''''((((((((((((((((((((((((((())))))*********)))((((((''''''(((((((((''''''&&&%%%%%%%%%%%%&&&%%%%%%&&&'''((()))******''''''''''''''''''''''''%%%&&&'''((()))))))))(((&&&&&&&&&&&&%%%%%%&&&&&&)))))))))(((''''''&&&&&&&&&''''''(((((('''''''''((()))******)))(((''''''((((((((((((''''''''''''((((((''''''''''''(((((('''''''''''''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---......------,,,+++,,,---,,,+++***+++,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++,,,,,,,,,,,,++++++++++++++++++++++++))))))))))))))))))))))))(((((((((((()))***++++++((((((((((((((()))))))))+++++++++******))))))((('''(((((()))))))))))))))))))))))))))))))))))))))'''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&'''(((((((((((('''''''''''''''''''''''''''''''''((())))))******'''''''''&&&&&&&&&&&&%%%######$$$$$$$$$$$$%%%%%%%%%&&&&&&''''''&&&&&&%%%&&&&&&'''(((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&%%%%%%%%%%%%%%%%%%&&&''''''((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((((((&&&&&&'''((($$$%%%&&&'''''''''&&&&&&%%%&&&'''&&&%%%$$$%%%&&&###$$$$$$%%%%%%$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$"""###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$###"""!!! &&&&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&(((((('''&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%***))))))(((''''''&&&&&&$$$&&&&&&&&&$$$###$$$%%%%%%&&&''''''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''(((((((((((($$$%%%&&&&&&%%%%%%&&&(((&&&&&&&&&'''''''''''''''%%%&&&''''''((((((''''''''''''((((((((()))))))))&&&&&&&&&&&&&&&&&&&&&&&&)))(((&&&&&&''')))***))))))******++++++******))))))))))))))))))******+++***,,,///222222000...,,,,,,,,,,,,,,,------------***++++++,,,,,,,,,,,,+++------,,,,,,,,,,,,+++++++++++++++*********************+++,,,,,,+++************+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,)))***+++***((((((((()))***))))))))))))***++++++(((((()))************)))+++++++++******)))(((((((((((()))))))))))))))***((((((((((((((((((((((((((((((((((((((()))******))))))))))))(((((((((((()))(((&&&%%%&&&(((***,,,&&&&&&&&&&&&&&&%%%%%%%%%))))))))))))))))))))))))&&&&&&''''''((()))))))))&&&'''***---///...+++((((((((((((((((((((((((((())))))))))))************'''&&&&&&%%%%%%%%%%%%&&&)))(((''''''&&&&&&''''''((((((((((((((((((''''''''''''''''''''''''''''''%%%&&&'''((())))))))))))***+++++++++)))(((((()))))))))(((((('''''''''&&&%%%&&&&&&'''''''''''''''&&&(((******)))'''&&&'''((((((((((((''''''''''''((((((''''''''''''((((((''''''''''''''''''''''''------------------------,,,---...//////...---,,,,,,---...---+++***+++,,,,,,,,,,,,------,,,,,,,,,+++++++++,,,,,,,,,------++++++++++++++++++++++++************************(((((((((((()))***+++,,,(((((()))))))))*********************************'''((()))************)))))))))))))))))))))))))))***)))(((''''''((()))***&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&(((((((((((('''''''''''''''''''''''''''&&&&&&''''''((())))))***&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%((('''&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''%%%%%%&&&'''$$$%%%&&&'''''''''&&&&&&%%%'''((('''&&&%%%'''(((###$$$$$$%%%%%%$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$""""""###%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%%%%&&&&&&))))))((((((((('''''''''((((((''''''&&&%%%%%%%%%$$$%%%'''&&&%%%%%%&&&'''%%%&&&''''''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''((((((%%%%%%%%%###"""###&&&(((&&&&&&&&&'''''''''((((((%%%&&&'''((((((((('''&&&&&&&&&'''''''''(((((((((''''''''''''''''''''''''(((((((((&&&&&&&&&)))+++)))******++++++******))))))))))))))))))***++++++***---111555666444111///,,,,,,,,,,,,++++++++++++++++++,,,---------------,,,,,,,,,,,,+++++++++***+++++++++*********))))))***++++++,,,,,,++++++*********+++++++++,,,,,,,,,++++++++++++++++++++++++)))***+++***((((((((()))(((((()))***************((()))***+++++++++******+++++++++******)))((('''(((((((((((())))))******&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((()))******))))))))))))((((((((((((((((((((('''((((((((()))((((((((('''''''''&&&&&&))))))))))))))))))))))))&&&&&&''''''((())))))***'''((()))+++,,,+++)))&&&'''(((((())))))*********)))))))))))))))((((((((((((((('''&&&&&&&&&&&&&&&))))))((('''''''''''''''''''''((((((((((((((((((''''''''''''''''''''''''((('''''''''(((((((((((()))+++---,,,***((()))***((((((((((((((('''''''''&&&&&&'''((((((((((((((('''))))))(((%%%%%%&&&)))((((((((((((''''''''''''((((((''''''''''''((((((''''''''''''''''''''''''////////////////////////------/////////...---,,,,,,---...---+++***+++,,,)))******++++++******)))+++++++++,,,,,,---------+++++++++++++++++++++++++++++++++++++++++++++,,,(((((((((((()))***+++,,,))))))******+++++++++,,,***************+++++++++(((((()))***************)))))))))))))))))))))))),,,***)))'''''')))***,,,%%%&&&&&&''''''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&###$$$&&&((())))))((('''((((((((((((((((((((((((%%%%%%&&&&&&'''((())))))&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&'''''''''%%%&&&&&&''''''&&&&&&%%%'''&&&%%%%%%%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%)))'''$$$""""""###&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&$$$$$$%%%&&&###$$$&&&'''((('''&&&&&&###%%%''''''%%%$$$&&&)))$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$!!!"""###$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%"""###%%%'''***---///000$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&'''((((((&&&&&&%%%%%%%%%$$$$$$$$$######$$$%%%%%%&&&&&&'''$$$&&&''''''&&&&&&((()))%%%&&&''''''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''%%%%%%$$$"""!!!"""&&&)))&&&&&&&&&'''''''''((((((%%%%%%'''((((((((('''&&&&&&&&&&&&&&&'''''''''((((((((((((((((((((((((((('''((()))'''$$$%%%)))---******++++++++++++******))))))((())))))***+++++++++...333777888777444222---,,,,,,++++++******))),,,,,,---.../////////...,,,,,,,,,++++++*********++++++++++++******))))))***+++,,,------,,,+++*********+++++++++,,,,,,,,,************************+++,,,---,,,*********+++'''((()))+++++++++***))))))***+++,,,---,,,++++++++++++++++++***)))'''''''''((((((((())))))******************************((((((((((((((()))******))))))))))))(((((((((((('''(((*********)))'''&&&******))))))((((((((('''''''''''''''''''''''''''&&&&&&&&&'''((())))))******)))''''''((((((&&&%%%&&&&&&''')))***,,,------))))))(((((('''''''''&&&++++++***)))))))))))))))(((((('''&&&&&&&&&&&&&&&$$$$$$%%%'''(((***++++++))))))))))))))))))))))))******((('''&&&&&&&&&&&&%%%(((***)))'''%%%'''(((((((((((((((((((((((((((''''''((())))))***))))))))))))(((%%%"""###'''+++)))(((((((((''''''''''''((((((''''''''''''((((((((((((((((((((((((((((((//////000000111111111222000000000000////////////...........................---,,,,,,++++++,,,,,,...---+++*********++++++...---,,,,,,++++++,,,,,,************++++++++++++)))************+++++++++---,,,+++***))))))))))))************************************************************************''''''(((((())))))*********)))((('''&&&&&&'''(((%%%&&&&&&&&&'''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&'''''''''''''''''''''((())))))))))))(((((('''''''''&&&(((((((((((())))))))))))&&&''''''(((((((((((((((%%%%%%&&&'''((((((''''''%%%&&&''''''(((((('''''''''%%%###$$$&&&'''%%%###&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&'''((('''''''''&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&(((((((((((((((((((((((()))&&&######%%%&&&%%%###%%%%%%%%%&&&&&&'''''''''%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$#########$$$%%%%%%&&&&&&%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$######$$$%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&$$$#########$$$$$$%%%%%%$$$$$$%%%%%%&&&'''%%%$$$$$$###$$$%%%'''((((((((('''&&&&&&&&&&&&'''&&&%%%%%%$$$%%%&&&((()))&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&&&&%%%$$$$$$$$$$$$%%%%%%&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%))))))((('''&&&%%%%%%%%%''''''''''''(((((())))))******)))((((((((((((((())))))))))))))))))))))))'''(((***+++***)))'''&&&(((((((((((()))))))))))),,,...222888===<<<777333......---,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,------,,,++++++,,,,,,,,,+++,,,,,,------,,,,,,+++------......---+++***))))))************+++++++++,,,,,,,,,,,,,,,,,,,,,,,,+++*********))))))((((((*********++++++,,,,,,,,,))))))*********++++++++++++***)))(((((()))***+++''''''(((((())))))******(((((())))))((('''&&&&&&''''''((()))***+++,,,,,,******))))))((((((''''''))))))))))))))))))))))))((((((((((((((('''''''''))))))))))))((('''%%%%%%"""%%%(((+++,,,***(((&&&((((((((((((''''''''''''))))))))))))))))))))))))''''''''''''(((((((((((((((((('''''''''&&&&&&&&&)))'''&&&'''((()))(((''''''((()))))))))(((&&&%%%''''''((((((((((((''''''''''''((((((((('''%%%$$$)))******)))(((((()))+++******))))))))))))******&&&'''((())))))((('''&&&(((((((((((((((((((((((('''&&&%%%&&&(((((((((''''''''''''(((((((((((()))((((((((((((((((((((((((000000111111111222222222111000000000////////////,,,,,,,,,,,,,,,,,,,,,,,,...---,,,,,,++++++,,,,,,------+++*********++++++,,,+++******)))*********(((((((((((())))))))))))************++++++++++++***************+++++++++************************************************************************((((((((()))))))))))))))***)))((('''&&&''''''(((&&&&&&''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&'''''''''''''''''''''((()))))))))((((((((('''''''''''''''''''''((())))))******&&&&&&'''((((((((((((((($$$%%%%%%&&&''''''&&&&&&&&&&&&'''((((((((((((((('''%%%###$$$&&&'''&&&$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&'''(((((()))(((((('''''''''&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&!!!!!!%%%(((((('''((((((''''''&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$######$$$%%%%%%&&&&&&%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$######$$$%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''%%%$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%&&&''''''(((((('''&&&&&&&&&&&&'''&&&%%%$$$$$$$$$%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%))))))(((&&&&&&%%%%%%&&&&&&&&&'''''''''((((((((()))(((((('''&&&&&&''''''''''''''''''''''''''''''((()))***,,,,,,+++)))((('''((((((((())))))))))))***+++///444888888444000---,,,++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,---,,,,,,++++++,,,,,,,,,+++,,,,,,------,,,,,,+++,,,---------,,,+++)))((()))************+++++++++************************,,,,,,+++++++++*********++++++++++++++++++,,,,,,))))))*********++++++++++++***)))(((((()))***+++))))))))))))((((((((((((((((((((((((((('''&&&&&&%%%&&&&&&'''((()))))))))((((((((((((((()))))))))))))))))))))))))))))))))''''''(((((((((((((((((())))))))))))((('''&&&&&&"""###&&&((()))(((&&&%%%((((((((((((''''''''''''((((((((((((((((((((((((''''''''''''(((((((((((((((((('''''''''&&&&&&&&&)))'''&&&'''((()))((('''%%%&&&''')))))))))((((((%%%&&&&&&''''''&&&&&&%%%''''''((((((((('''%%%%%%)))******)))(((((()))+++***))))))(((((())))))***((((((((())))))((((((((((((((((((((((((((((((((('''&&&%%%&&&((((((((('''&&&&&&'''''''''(((((((((((((((((((((((((((((((((111111111222222222222222111111000000000/////////,,,,,,,,,,,,,,,,,,,,,,,,...------,,,,,,,,,,,,,,,---,,,,,,++++++++++++,,,,,,,,,+++***************((((((((()))))))))******************+++++++++,,,'''(((***,,,,,,,,,,,,+++++++++++++++++++++++++++************************************************))))))))))))))))))(((((())))))(((''''''''''''(((((((((''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&'''''''''''''''''''''((())))))((((((((((((''''''''''''&&&&&&'''((())))))******&&&&&&'''(((((((((((('''###$$$%%%%%%&&&%%%%%%%%%&&&&&&'''(((((((((((((((&&&%%%$$$%%%&&&'''&&&$$$$$$%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&)))(((((((((((()))******((((((((((((''''''''''''%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&$$$###$$$%%%&&&%%%###''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$######%%%%%%%%%%%%$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$###$$$$$$%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%&&&&&&'''%%%%%%&&&''''''''''''&&&(((((('''&&&&&&&&&&&&'''&&&%%%$$$$$$###$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%&&&&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%)))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((('''&&&&&&%%%&&&&&&&&&''''''''''''''''''''''''&&&''')))***+++******)))''''''((((((((()))))))))((((((***---000111///---******************+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,,,,+++***)))((()))************+++++++++))))))))))))))))))))))))++++++************)))))),,,,,,++++++++++++++++++***************+++++++++******))))))))))))***************)))((('''''''''(((((((((((((((''''''&&&&&&&&&&&&''''''(((((((((&&&''''''((())))))******))))))))))))))))))))))))'''''''''(((((()))))))))************)))(((''''''$$$$$$&&&'''''''''''''''(((((((((''''''''''''&&&((((((((((((((((((((((((''''''''''''(((((((((((((((((((((''''''''''''&&&)))'''&&&'''((()))((('''$$$%%%&&&((()))*********%%%&&&&&&''''''&&&&&&%%%'''''''''(((''''''&&&%%%)))******)))(((((()))+++)))((((((''''''(((((()))))))))(((((((((((())))))(((((((((((((((((((((((('''&&&%%%&&&((((((((('''%%%&&&&&&&&&''''''''''''((((((((((((((((((((((((111111111111111222222222111111111000000000//////////////////////////////......---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,......---,,,,,,,,,,,,---******+++++++++,,,,,,,,,*********+++++++++,,,,,,((()))+++------,,,+++***++++++++++++++++++++++++************************************************+++******))))))(((((((((((((((((('''''''''(((((())))))((((((''''''&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&'''''''''''''''''''''((())))))(((((((((((((((''''''''''''''''''(((((((((((((((%%%&&&''''''((((((''''''$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%&&&'''''''''''''''&&&&&&%%%%%%&&&&&&&&&%%%$$$$$$%%%%%%&&&'''((((((&&&&&&&&&&&&''''''''''''))))))(((((((((((())))))''''''''''''''''''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''***)))(((((('''&&&$$$###""""""###%%%&&&((())))))$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$######&&&&&&%%%%%%%%%$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%&&&''''''%%%&&&'''(((((((((&&&&&&(((((('''&&&&&&&&&&&&''''''&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&)))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&'''((((((((((((((((((((((((###$$$&&&'''(((((((((((('''''''''((((((((())))))&&&'''''')))+++,,,,,,,,,))))))((())))))***++++++++++++++++++++++++++++++++++++++++++++++++,,,---,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++******))))))))))))*********+++++++++************************(((((((((''''''''''''''',,,,,,,,,++++++************************************))))))))))))))))))******)))))))))(((((((((''''''(((((((((((((((''''''(((((())))))))))))))))))'''''''''((((((((())))))((((((((((((((((((((((((&&&&&&'''((()))******+++***************)))((((((((((((((((((((()))******(((((('''''''''&&&&&&&&&((((((((((((((((((((((((''''''''''''(((((((((((((((((((((''''''''''''''')))'''&&&'''((()))((('''%%%&&&''''''((()))))))))(((((())))))))))))((((((''''''''''''''''''&&&&&&((()))***)))'''''')))***((((((''''''''''''(((((()))((('''&&&&&&'''((()))(((((((((((((((((((((((('''&&&%%%&&&((((((((('''%%%%%%%%%&&&&&&&&&''''''((((((((((((((((((((((((111111111111111111111111111111111111000000000000///////////////////////////...------,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,///...------,,,,,,------++++++++++++,,,,,,,,,,,,***++++++++++++,,,,,,,,,***+++---...---,,,)))(((++++++++++++++++++++++++************************************************++++++******))))))((((((''''''(((((((((((((((((()))))))))((((((''''''&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&'''''''''''''''''''''((())))))'''''''''((((((((((((((())))))((((((''''''&&&&&&%%%&&&&&&'''''''''''''''&&&&&&''''''''''''&&&&&&$$$$$$%%%&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&'''((((((&&&&&&&&&''''''((((((((((((''''''&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''###$$$&&&(((((())))))))) !!!"""###%%%'''(((((($$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%%%%$$$$$$&&&&&&&&&%%%%%%%%%$$$$$$###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%$$$$$$&&&&&&%%%%%%&&&&&&'''(((&&&&&&((((((((('''&&&%%%(((((('''&&&&&&&&&&&&'''(((((((((''''''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&(((((('''&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&''''''((((((''''''''''''''''''''''''$$$$$$%%%&&&'''(((((((((''''''''''''((((((((((((''''''((((((((()))+++,,,(((((((((((()))***++++++++++++++++++++++++++++++************++++++,,,------,,,,,,++++++,,,,,,---++++++******************))))))*********+++++++++************************'''''''''''''''(((((((((,,,,,,,,,++++++*********************************)))))))))******)))))))))'''((((((((()))))))))***''''''((((((((((((((('''))))))))))))(((((((((((()))((((((((('''''''''&&&((((((((((((((((((((((((&&&''''''((()))***++++++)))************))))))((())))))((((((((()))***+++''''''''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''(((((((((((((((((((((((((((((((((((()))'''&&&'''((()))((('''((((((((('''''''''((((((((())))))))))))))))))(((''''''&&&&&&''''''''''''((())))))(((''''''(((***((((((''''''''''''((((((((('''%%%%%%%%%%%%'''((((((((((((((((((((((((((('''&&&%%%&&&((((((((('''%%%%%%%%%&&&&&&&&&''''''((((((((((((((((((((((((222222222222222111111111222222111111111000000000------------------------///......---------------+++,,,,,,------------,,,---,,,,,,+++++++++++++++)))))))))************+++++++++++++++,,,,,,,,,,,,,,,------------+++)))(((,,,,,,,,,,,,,,,,,,,,,,,,******************************************************************))))))&&&'''(((((()))((((((((())))))((((((((((((((((((''''''''''''''''''''''''''''''&&&&&&&&&&&&'''''''''''''''''''''((())))))'''''''''((((((((((((((()))((((((''''''&&&&&&&&&%%%%%%&&&''''''''''''&&&''''''((((((''''''&&&&&&$$$$$$%%%&&&&&&&&&&&&&&&%%%'''((('''&&&%%%&&&'''$$$%%%%%%&&&&&&'''''''''&&&&&&&&&'''(((((())))))'''&&&&&&%%%%%%%%%%%%&&&$$$$$$$$$$$$$$$%%%%%%%%%''''''''''''&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$"""$$$&&&'''%%%$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&######$$$%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&''''''(((&&&''''''''''''&&&%%%%%%(((((('''&&&&&&&&&&&&''''''((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&(((((('''&&&%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&''''''''''''''''''((()))%%%%%%%%%%%%%%%%%%%%%%%%((((((((())))))******+++&&&&&&'''''''''((((((((('''((()))(((((((((***,,,))))))))))))))))))***+++++++++++++++++++++++++++******)))******+++,,,---------++++++++++++------,,,++++++*********++++++)))************+++++++++))))))))))))))))))))))))))))))************++++++,,,,,,+++++++++++++++++++++++++++***************))))))************))))))'''''''''((()))*********&&&'''(((((((((((((((((((((''''''&&&&&&%%%%%%%%%))))))(((((('''&&&&&&%%%))))))))))))))))))))))))((((((((())))))*********((())))))******)))(((((((((''''''&&&&&&'''(((((('''''''''&&&&&&&&&&&&%%%''''''''''''''''''''''''''''''''''''(((((((((((('''(((((((((((())))))))))))'''&&&'''((()))((('''))))))((('''''''''''''''&&&''''''((((((''''''&&&''''''&&&&&&&&&'''((((((((())))))(((''''''(((***)))((((((''''''(((((()))'''&&&&&&&&&&&&&&&&&&'''(((((((((((((((((((((((('''&&&%%%&&&((((((((('''%%%&&&&&&&&&''''''''''''((((((((((((((((((((((((555555444444444333333333222222222111111111000000------------------------//////...---------------++++++---.........------------,,,++++++++++++,,,)))))))))*********+++++++++++++++,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,+++,,,,,,,,,,,,,,,,,,,,,,,,******************************************************************++++++%%%&&&((()))))))))((((((((((((((((((((()))))))))''''''''''''''''''''''''''''''&&&&&&&&&&&&'''''''''''''''''''''((())))))''''''''''''((((((((()))&&&&&&&&&'''''''''(((((($$$%%%&&&&&&''''''&&&&&&&&&''''''''''''&&&%%%$$$%%%&&&''''''((((((''''''%%%'''((((((&&&%%%&&&(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((()))))))))''''''&&&%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&((('''''''''&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%''')))'''### (((''''''&&&&&&%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&''''''''''''&&&&&&&&&&&&%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&######%%%&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&'''((((((''''''&&&%%%%%%%%%%%%%%%(((((('''&&&&&&&&&&&&'''%%%&&&'''((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$%%%%%%&&&&&&'''''''''''''''''''''''''''''''''''''''&&&&&&&&&''''''(((((((((((('''''''''&&&&&&&&&&&&%%%%%%&&&''''''(((''''''''''''''''''''''''*********))))))******+++&&&&&&&&&'''''''''((((((''')))******(((''')))+++++++++***)))))))))******************************))))))))))))***+++,,,---...---+++******+++---...---,,,+++******+++,,,---)))************+++++++++*********************************+++++++++,,,,,,++++++++++++++++++,,,,,,+++++++++*********))))))((()))***++++++***)))((((((((((((((())))))))))))&&&&&&'''((((((((((((((((((((('''&&&%%%%%%$$$$$$'''''''''''''''''''''''')))))))))))))))))))))))))))))))))))))))))))))***'''(((((())))))((((((((('''''''''((('''''''''''''''''''''&&&&&&&&&%%%%%%''''''''''''''''''''''''''''''''''''(((((((((((('''((((((((()))))))))))))))'''&&&'''((()))((('''(((((('''&&&''''''))))))''''''(((((((((((('''''''''&&&&&&%%%&&&'''((()))'''((()))(((&&&&&&((()))***))))))(((((())))))***'''(((((((((((((((((('''(((((((((((((((((((((((('''&&&%%%&&&((((((((('''&&&&&&'''''''''(((((((((((((((((((((((((((((((((777777666666666555555555222222222111111111111000000000000000000000000000//////...------------...***+++---...///...------//////...------------...++++++,,,,,,,,,---------++++++,,,,,,,,,---------+++++++++++++++---......,,,,,,,,,,,,,,,,,,,,,,,,************************************************)))))))))***+++++++++,,,%%%&&&((()))))))))((((((''''''(((((())))))******(((((((((((((((((((((((('''''''''&&&&&&''''''''''''''''''''''''((())))))&&&'''''''''(((((())))))###$$$%%%&&&((()))***+++$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&%%%%%%$$$###'''(((((()))))))))))))))%%%''')))(((&&&%%%&&&)))&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&'''((())))))***((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&& $$$'''(((&&&$$$%%%&&&'''''''''((((((((())))))######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&###$$$$$$%%%&&&'''((((((''''''&&&&&&&&&%%%%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&###$$$&&&'''((('''&&&&&&'''&&&&&&&&&&&&'''((((((((('''%%%$$$###$$$%%%%%%(((((('''&&&&&&&&&&&&'''###$$$&&&'''((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&''''''((($$$$$$%%%%%%&&&'''((((((''''''''''''''''''''''''''''''&&&&&&&&&''''''((())))))((((((((('''''''''$$$$$$$$$$$$%%%%%%&&&'''++++++++++++++++++++++++***)))((((((((((((((()))&&&&&&&&&'''''''''((((((''')))+++***(((''')))+++,,,,,,+++***))))))******************************))))))))))))***+++,,,---...---+++******+++---...---,,,+++++++++,,,---...)))************+++++++++,,,,,,,,,,,,,,,,,,,,,,,,(((((())))))*********+++*********++++++,,,,,,---++++++++++++******))))))((()))***++++++***)))(((******))))))((((((''''''&&&&&&'''((())))))((((((******)))((('''&&&&&&%%%%%%%%%&&&&&&'''((((((((())))))))))))))))))))))))*********)))))))))))))))''''''((((((((((((((('''))))))************)))(((''''''&&&&&&&&&%%%%%%%%%''''''''''''''''''''''''''''''''''''((((((((()))'''((((((((())))))******)))'''&&&'''((()))(((''''''&&&&&&&&&''')))***,,,))))))************))))))'''&&&&&&%%%&&&'''((()))'''((()))(((&&&&&&((()))******))))))))))))******((()))***++++++***)))((((((((((((((((((((((((((('''&&&%%%&&&(((((((((''''''''''''(((((((((((()))((((((((((((((((((((((((<<<999555333333444555444888666333222222222111000111111111111111111111000//////000000000000//////..............................------------......,,,,,,,,,,,,,,,,,,,,,,,,))))))******++++++++++++------------------------,,,,,,,,,++++++***************))))))))))))******((()))***+++++++++++++++*********)))(((''''''&&&!!!$$$'''((('''&&&$$$$$$$$$%%%%%%'''(((***+++***))))))((('''&&&&&&%%%(((((()))***************((((((((((((((((((((((((&&&''''''(((''''''&&&&&&'''''''''''''''&&&&&&&&&&&&''''''((((((((((((((('''''''''&&&&&&%%%%%%%%%((('''&&&%%%&&&(((***,,,))))))(((((('''''''''&&&''''''&&&&&&&&&&&&''''''''''''((()))***+++,,,,,,''''''&&&%%%%%%%%%%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&%%%$$$###'''&&&&&&%%%%%%&&&&&&''''''%%%$$$$$$&&&''''''&&&%%%&&&&&&''''''&&&&&&%%%)))(((&&&%%%$$$%%%&&&&&&'''&&&&&&%%%%%%&&&&&&'''***))))))(((''''''&&&&&&''''''''''''&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%'''''''''&&&&&&%%%%%%%%%$$$%%%'''(((((('''%%%$$$%%%&&&&&&'''((()))******(((((())))))((('''&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&)))((('''&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&(((((('''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%(((''''''''''''&&&&&&&&&''''''''''''''''''''''''$$$$$$%%%&&&'''))))))***((((((((((((((((((((((((''''''''''''((((((((((((''''''''''''(((((((((((())))))(((((((((((()))))))))************+++++++++---,,,+++***)))***+++,,,---............---,,,+++...,,,******+++++++++***************************************)))))))))))),,,++++++***)))(((((('''(((***++++++******+++,,,+++***((('''&&&''')))***(((((((((((())))))))))))''''''''''''''''''&&&&&&+++*********))))))(((((()))((((((((((((((()))***'''))))))((('''&&&'''(((&&&&&&&&&&&&&&&'''((((((******)))(((((((((((()))(((((((((((('''&&&%%%$$$************))))))))))))((((((((((((((()))******---------,,,+++)))&&&%%%&&&&&&&&&''''''''''''(((''''''''''''(((((((((((((((((('''&&&%%%$$$$$$###$$$%%%&&&(((((((((((('''''''''''''''((((((((((((***))))))(((''''''&&&&&&(((((((((((((((((((((((()))************))))))(((((((((''''''''''''(((((('''''''''&&&&&&%%%%%%%%%''''''''''''''''''''''''''''''''''''''''''&&&&&&''''''&&&&&&&&&%%%%%%%%%FFFBBB===999888888888888777555333222222222111000111111000000///...............////////////..............................///......------......///,,,,,,,,,,,,,,,,,,,,,,,,)))*********++++++++++++++++++++++++++++++++++++---,,,,,,,,,++++++++++++******))))))))))))******))))))***+++++++++++++++++++++***))))))(((''''''%%%&&&(((***+++***)))(((&&&&&&&&&'''((()))***+++,,,,,,++++++***)))))))))'''((())))))******))))))(((((((((((((((((((((((('''''''''''''''''''''&&&((((((''''''''''''&&&&&&&&&''''''((((((((((((((('''&&&&&&&&&&&&&&&&&&%%%((('''&&&%%%&&&(((***+++)))((((((((('''''''''&&&&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%&&&'''((()))***+++''''''&&&%%%%%%%%%%%%&&&%%%%%%&&&&&&&&&'''''''''%%%&&&&&&&&&&&&&&&%%%%%%'''&&&&&&%%%%%%&&&&&&''''''%%%$$$$$$&&&''''''&&&%%%&&&&&&''''''&&&&&&%%%%%%$$$###"""""""""######'''&&&&&&%%%%%%&&&&&&'''))))))(((''''''&&&%%%%%%'''''''''''''''&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%"""###%%%&&&&&&%%%###"""&&&&&&''''''(((((())))))(((((((((((((((((('''&&&%%%%%%%%%%%%%%%%%%&&&&&&(((((('''&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%(((''''''''''''&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&'''''''''))))))))))))))))))))))))***))))))(((&&&%%%%%%$$$''''''((((((((())))))))))))(((((((((((((((((()))))))))*********+++++++++,,,,,,++++++++++++,,,,,,*********+++++++++++++++000...,,,,,,---------,,,************************************))))))))))))((())))))******+++++++++''')))******)))(((***++++++***(((''''''''')))***(((((((((((())))))))))))''''''''''''''''''''''''*********)))))))))((((((++++++)))((('''''''''''''''))))))((('''&&&'''(((((((((((((((((()))******&&&&&&&&&&&&&&&'''((())))))))))))((((((''''''''')))))))))(((((((((''''''(((((('''''''''((()))***((()))*********((('''&&&&&&&&&&&&''''''''''''(((''''''''''''((((((((((((''''''''''''&&&&&&&&&%%%&&&''''''(((((('''&&&%%%&&&&&&'''''''''(((((((((''''''(((((((((((((((((((((((((((((((((((((((((((((((()))))))))))))))(((((((((''''''''''''(((((('''''''''&&&&&&%%%%%%%%%''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%QQQLLLEEE???<<<;;;;;;:::999777444444444444333111222222111000///......---......////////////..............................///......------......///,,,,,,,,,,,,,,,,,,,,,,,,************++++++++++++++++++++++++++++++++++++------------,,,,,,,,,,,,******))))))))))))******)))***++++++++++++++++++,,,++++++******)))))))))*********++++++++++++***)))((((((((())))))***+++***))))))(((((('''''''''''''''((()))))))))(((((((((((((((((((((((((((((('''''''''''''''''''''''')))((((((((('''''''''&&&&&&''''''(((((((((((((((&&&&&&&&&&&&&&&'''''''''''''''&&&&&&'''(((***+++((((((((('''''''''''''''%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$%%%&&&'''(((((()))''''''&&&%%%%%%%%%%%%&&&&&&&&&&&&'''''''''((((((%%%%%%&&&&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&''''''%%%$$$$$$&&&''''''&&&%%%&&&&&&''''''&&&&&&%%%$$$######""""""""""""###'''&&&&&&%%%%%%&&&&&&'''(((''''''&&&&&&%%%%%%$$$&&&&&&'''''''''&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&######%%%%%%%%%%%%######''''''''''''''''''((((((&&&'''((((((((((((((((((&&&&&&&&&&&&%%%%%%%%%%%%(((((('''&&&&&&&&&&&&'''(((''''''''''''''''''((('''''''''(((((('''''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&(((''''''''''''&&&&&&&&&''''''''''''''''''''''''(((((('''&&&%%%$$$$$$###))))))))))))))))))))))))))))))(((''''''&&&%%%%%%((((((((()))))))))******((((((''''''''''''(((((()))))))))*********+++++++++,,,,,,------,,,,,,,,,***))))))))))))+++,,,---000...,,,,,,---------,,,************************************))))))))))))(((((())))))***++++++,,,&&&''')))(((''''''(((***+++***)))((('''((())))))))))))))))))((((((((((((''''''''''''''''''''''''******))))))))))))((((((***))))))((('''''''''((('''))))))((('''&&&'''(((((((((((((((((()))******$$$%%%%%%%%%'''((()))***+++***)))((((((((()))***((((((((('''''''''&&&&&&((('''&&&%%%%%%&&&(((***$$$%%%&&&(((((((((((('''&&&&&&&&&''''''''''''(((''''''''''''((((((((((((''''''''''''''''''''''''(((((((((((('''&&&%%%$$$&&&&&&&&&'''''''''((((((&&&&&&&&&'''((())))))***((((((((((((((((((((((((&&&&&&'''((()))))))))(((((((((''''''''''''(((((('''''''''&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&''''''&&&&&&%%%%%%%%%$$$$$$$$$]]]WWWOOOHHHDDDCCCBBBAAA<<<999777666666666555333333333222222222111111111//////000000000000//////........................//////............//////------------------------++++++++++++++++++++++++------------------------------------------------+++******))))))******+++******+++,,,,,,+++++++++,,,,,,,,,++++++*********+++***)))((('''(((((()))***))))))(((((()))))))))(((((((((''''''&&&&&&&&&''''''((((((((((((''''''(((((((((((((((((((((((('''''''''''''''(((((((((***))))))(((((('''''''''&&&''''''(((((((((((((((%%%%%%&&&&&&''''''(((((('''''''''&&&'''((()))***''''''''''''''''''''''''&&&&&&%%%%%%%%%%%%&&&&&&$$$$$$%%%&&&&&&'''((((((''''''&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&''''''%%%$$$$$$&&&''''''&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''%%%&&&&&&''''''&&&&&&%%%'''''''''''''''''''''&&&&&&&&&'''((())))))((((((''''''&&&&&&%%%%%%%%%$$$(((''''''&&&&&&&&&''''''((((((''''''''''''((((((''''''((((((((((((''''''''''''&&&&&&%%%%%%%%%$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&'''''''''''''''(((''''''''''''&&&&&&&&&''''''''''''''''''''''''(((((('''&&&%%%$$$$$$###(((((((((((((((((((((((('''''''''(((((())))))***))))))))))))************((((((''''''''''''(((((())))))))))))***************+++---......---,,,+++---,,,***)))***,,,...///...,,,******+++++++++***************************************)))))))))((()))))))))(((((((((''''''&&&((())))))(((''')))***+++***)))((((((((())))))))))))))))))((((((((((((&&&&&&&&&'''''''''''''''))))))))))))))))))((((((%%%%%%&&&'''((()))+++,,,'''))))))((('''&&&'''(((&&&&&&&&&&&&&&&'''(((((('''''''''(((((()))+++++++++)))(((''''''(((***,,,((((((((('''''''''&&&&&&'''&&&$$$###$$$%%%((()))###$$$&&&'''((((((((('''&&&&&&&&&''''''''''''(((''''''''''''(((((((((((())))))(((((('''''''''&&&(((((('''''''''&&&&&&%%%''''''(((((((((((())))))&&&&&&''''''((()))))))))(((((((((((((((((((((((($$$%%%&&&'''((((((((((((((((((''''''''''''(((((('''''''''''''''&&&&&&&&&''''''''''''''''''''''''%%%%%%&&&&&&&&&&&&''''''&&&%%%%%%%%%%%%$$$$$$$$$kkkfff]]]VVVRRROOOMMMLLL???===:::888888777555444222222222222222333333333111111222222222222111111/////////////////////////////////....../////////------------------------,,,+++++++++++++++++++++------------------------------------------------++++++************++++++++++++,,,,,,,,,++++++***,,,,,,,,,,,,+++++++++++++++***((('''&&&&&&'''((())))))((((((''''''((((((++++++***************)))''''''((((((((((((''''''(((((((((((((((((((((((((((''''''''''''((()))***++++++***)))((((((''''''&&&''''''(((((((((((((((&&&&&&&&&''''''((((((((('''''''''''''''(((((()))&&&&&&&&&'''''''''''''''''''''&&&&&&&&&&&&''''''&&&&&&&&&'''(((((())))))''''''&&&%%%%%%%%%%%%&&&$$$%%%%%%%%%%%%&&&&&&&&&((('''%%%$$$############'''&&&&&&%%%%%%&&&&&&''''''%%%$$$$$$&&&''''''&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&'''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%$$$$$$$$$"""######$$$$$$$$$######$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&'''((())))))(((((('''''''''&&&&&&%%%%%%%%%''''''&&&&&&&&&''''''(((((((((''''''''''''((((((''''''(((((((((((('''''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((((((''''''''''''&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''(((((()))******++++++))))))))))))************((((((''''''''''''(((((((((((()))))))))*********)))***,,,---...---,,,,,,///---+++******+++---......,,,******+++++++++***************************************)))))))))((('''''''''''''''&&&&&&&&&'''(((***)))(((((()))++++++******)))))))))))))))***)))))))))((((((((('''&&&&&&&&&'''''''''(((((((((((((((((((((((())))))%%%%%%%%%&&&''')))***+++'''))))))((('''&&&'''(((&&&&&&&&&&&&&&&'''(((((())))))(((((((((((())))))***)))'''&&&&&&''')))+++)))))))))((((((((('''''''''&&&$$$$$$$$$%%%'''(((%%%&&&'''((((((((('''&&&&&&&&&&&&''''''''''''(((''''''''''''((((((((((((+++***)))((('''&&&%%%%%%&&&&&&&&&&&&''''''(((((((((((()))))))))*********(((((((((((((((((((((((((((((((((((((((((((((((($$$$$$%%%'''((((((((((((((((((''''''''''''((((((''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&%%%%%%%%%$$$$$$wwwrrrjjjccc]]]YYYUUUSSSFFFDDD@@@>>>===;;;999777333333333333333333333333222222333333333333222222////////////////////////000//////......//////000------------------------,,,,,,,,,,,,++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,------------++++++************++++++,,,,,,,,,,,,,,,,,,+++***++++++++++++++++++++++++,,,+++)))((((((((()))***))))))((('''''''''(((((())))))))))))))))))))))))(((((()))))))))(((''''''(((((((((((((((((((((((((((''''''&&&'''(((***+++,,,,,,+++***)))(((''''''&&&''''''((((((((((((((('''''''''''''''(((((((((''''''((((((((((((((((((&&&&&&&&&&&&&&&'''''''''(((''''''&&&&&&''''''(((''''''((((((((()))))))))''''''&&&%%%%%%%%%%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&((('''%%%$$$######$$$%%%'''&&&&&&%%%%%%&&&&&&''''''%%%$$$$$$&&&''''''&&&%%%&&&&&&''''''&&&&&&%%%$$$%%%%%%&&&&&&&&&&&&%%%'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%""""""###$$$$$$$$$######$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''%%%%%%&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&''''''&&&'''(((((((((((((((((('''''''''&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''(((((((((''''''''''''''''''((('''''''''((((((''''''''''''''''''&&&&&&&&&&&&&&&(((((('''''''''&&&&&&&&&%%%%%%%%%&&&''''''(((((((((''''''''''''&&&&&&&&&''''''''''''''''''''''''%%%&&&&&&''''''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&*********))))))(((((((((((((((((()))))))))******))))))(((((((((((())))))((((((((()))))))))******))))))***+++,,,,,,,,,,,,,,,+++*********+++,,,---000...,,,,,,---------,,,************************************))))))))))))###$$$%%%&&&'''((()))***''')))******)))(((***+++++++++*********)))))))))******))))))((((((''''''%%%%%%&&&&&&'''(((((((((''''''(((((((((((()))))))))(((((('''&&&&&&&&&''''''))))))((('''&&&'''(((((((((((((((((()))******(((((('''&&&&&&&&&&&&&&&***)))((('''''''''((())))))))))))(((((((((''''''&&&%%%%%%%%%&&&&&&'''''''''((()))))))))((('''&&&&&&&&&&&&''''''''''''(((''''''''''''((((((((((((***))))))((('''&&&%%%$$$&&&%%%%%%&&&&&&((())))))(((((()))))))))*********((((((((((((((('''''''''((((((((((((((((((((((((%%%%%%&&&'''((((((((('''((((((''''''''''''(((((('''''''''''''''(((((((((''''''''''''''''''''''''$$$$$$%%%%%%&&&&&&''''''''''''&&&&&&&&&%%%%%%%%%{{{sssllleee___ZZZTTTQQQMMMJJJGGGEEEBBB@@@999999888777666555444333111222222333333222222111////////////////////////000000////////////000000........................------,,,,,,,,,+++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,---,,,++++++******++++++,,,,,,,,,------,,,,,,+++************++++++++++++++++++******))))))))))))***)))))))))(((((()))******&&&&&&''''''''''''''''''))))))******))))))((('''(((((((((((((((((((((((((((((('''&&&''')))+++,,,---,,,,,,+++)))(((((('''&&&''''''((((((((((((((((((((((((((('''''''''''''''(((((((((((((((''''''%%%%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%&&&&&&'''((((((((((((((()))))))))''''''&&&%%%%%%%%%%%%&&&%%%%%%%%%%%%&&&&&&&&&'''''''''%%%%%%%%%''')))***'''&&&&&&%%%%%%&&&&&&''''''%%%$$$$$$&&&''''''&&&%%%&&&&&&''''''&&&&&&%%%###$$$%%%&&&&&&&&&%%%%%%'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&&&&&&&&&&&&&######$$$%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%&&&&&&'''''''''(((((((((((((((((('''&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&'''((((((''''''&&&&&&&&&&&&''''''&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&''''''''''''******)))((('''&&&&&&%%%$$$$$$$$$%%%&&&'''''''''(((''''''''''''&&&&&&&&&'''''''''''''''''''''''''''''''''((((((((())))))''''''''''''''''''''''''((((((((((((''''''''''''''''''((((((((()))))))))******))))))))))))******(((((((((((()))))))))***))))))))))))***+++,,,,,,((()))***+++---...000000000...,,,,,,---------,,,************************************))))))))))))$$$%%%&&&''')))***+++,,,&&&''')))(((''''''(((******+++++++++******))))))*********)))((('''''''''%%%%%%&&&&&&'''(((((()))'''''''''((((((((())))))***)))((('''&&&%%%%%%%%%'''))))))((('''&&&'''(((((((((((((((((()))******'''&&&&&&&&&&&&''''''(((*********))))))(((((((((((((((((('''''''''&&&&&&$$$%%%&&&'''(((''''''&&&&&&'''((())))))((('''&&&&&&&&&&&&''''''''''''(((''''''''''''((((((((((((&&&&&&&&&&&&&&&'''''''''((('''&&&&&&&&&&&&((((((''''''''''''((((((((((((&&&&&&''''''(((((())))))((((((((((((((((((((((((&&&''''''(((((((((''''''((((((''''''''''''((((((&&&'''''''''((((((((()))''''''''''''''''''''''''###$$$$$$%%%&&&&&&''''''((((((((('''''''''&&&&&&}}}tttkkkfff```]]]XXXUUURRROOOLLLJJJAAA@@@???<<<:::888666555111111222222222222111111000000000000000000000000000000////////////000000........................---------,,,,,,+++++++++------------------------*********++++++,,,,,,,,,,,,++++++******++++++,,,------------,,,,,,+++***************************((((((((((((((((((((((((******))))))***++++++,,,)))))))))******************************)))(((((((((((((((((((((((((((((((((((('''&&&''')))+++---------,,,+++***)))((('''&&&''''''((((((((((((((())))))((((((''''''&&&&&&'''(((((((((((((((''''''%%%%%%%%%&&&&&&'''''''''&&&%%%%%%$$$$$$%%%%%%&&&'''''''''(((((((((((((((''''''&&&%%%%%%%%%%%%&&&&&&&&&&&&'''''''''((((((&&&&&&%%%&&&'''***---///'''&&&&&&%%%%%%&&&&&&''''''%%%$$$$$$&&&''''''&&&%%%&&&&&&''''''&&&&&&%%%###$$$&&&'''((('''&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&''''''''''''$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''''''''&&&&&&%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''$$$$$$%%%%%%&&&'''((((((((()))))))))((('''&&&&&&%%%&&&&&&&&&'''(((((((((&&&&&&&&&&&&&&&'''((()))&&&&&&&&&%%%%%%&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&'''(((((((((,,,,,,+++)))((('''&&&%%%######$$$%%%%%%&&&''''''(((((('''''''''&&&&&&&&&'''''''''''''''''''''''')))))))))))))))(((((((((((((((((((((((((((((((((######$$$%%%&&&'''((()))''''''''''''((((((((((((++++++************++++++(((((((((((()))))))))))))))(((((('''(((***,,,---'''(((+++...111333555555...,,,******+++++++++***************************************))))))))))))))))))))))))************%%%&&&((('''&&&&&&''')))***++++++++++++***))))))+++******)))(((''''''&&&%%%%%%&&&&&&'''((())))))&&&'''''''''(((((())))))''''''&&&&&&&&&''''''(((''')))))))))'''&&&'''(((&&&&&&&&&&&&&&&'''(((((('''''''''((()))***+++,,,,,,,,,,,,,,,+++)))((('''''''''&&&&&&&&&%%%%%%%%%$$$%%%'''))))))((('''&&&$$$%%%'''(((((((((((('''&&&&&&&&&'''''''''((((((''''''''''''((((((((()))"""###$$$%%%&&&((())))))***)))'''&&&%%%%%%&&&'''%%%%%%%%%&&&&&&&&&''''''$$$%%%&&&'''(((***++++++((((((((((((((((((((((((((((((((()))((((((''''''((((((''''''''''''((((((&&&'''''''''(((((())))))''''''''''''''''''''''''######$$$%%%%%%&&&'''''')))(((((((((((('''''''''|||uuuooojjjdddaaa___]]]YYYVVVMMMLLLIIICCC>>>:::888888888888777555333333444555444222000000222222222111222222000000000111222333/////////000///......---........................------------,,,,,,+++***'''(((***,,,---//////000,,,,,,,,,+++++++++******,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++***)))))))))))))))))))))'''%%%###"""))))))************))))))))))))************)))))))))))))))((((((((((((((((((((((((((())))))))))))))))))(((((((((((())))))******))))))))))))******((())))))((('''(((+++---,,,+++******************))))))((((((''''''&&&&&&&&&%%%$$$###"""###$$$%%%&&&&&&$$$$$$$$$$$$&&&&&&'''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&''''''((())))))***)))((('''&&&&&&&&&&&&&&&&&&'''((((((((('''%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$%%%%%%%%%***(((&&&&&&((((((&&&###&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%!!!"""%%%(((++++++)))''',,,,,,+++***)))'''%%%$$$%%%%%%%%%&&&&&&&&&&&&'''%%%%%%'''((((((((('''&&&''''''&&&&&&&&&%%%%%%%%%(((((((((((((((''''''''')))***+++***)))((((((***%%%%%%%%%&&&&&&'''''''''%%%%%%$$$###$$$%%%&&&'''&&&&&&&&&&&&&&&'''((()))'''''')))***+++,,,,,,,,,******))))))((((((''''''%%%&&&'''((())))))))))))&&&''''''((()))*********((()))***)))((((((***,,,...+++((()))+++,,,***((('''((()))******++++++***,,,,,,------...//////000000///...---,,,------...------,,,+++******++++++))))))(((((((((((())))))++++++++++++++++++++++++))))))(((((((((((())))))+++***************++++++---,,,***)))))))))***+++((((((((((((((((((((((((((((((''''''''''''((((((''''''''''''''''''''''''''''''''''''(((((((((((((((((())))))((('''&&&&&&***(((&&&&&&(((*********+++***)))(((((((((((((((***'''%%%%%%&&&((())))))(((((((((((((((((((((((('''&&&&&&&&&&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''&&&&&&)))(((&&&%%%%%%&&&'''(((%%%%%%'''((())))))))))))+++*********))))))(((((())))))))))))***************))))))(((((((((((()))***)))(((''''''((()))***)))((((((''''''''''''(((((((((''''''''''''((((((%%%&&&&&&&&&'''((((((((('''&&&%%%%%%%%%%%%&&&'''(((''''''&&&&&&&&&''''''{{{wwwrrrnnniiibbb]]]ZZZYYYVVVPPPIIIDDD???>>>;;;:::888555222222222333333111000000111222222111222222111111111111222222///////////////......------------------------------------------,,,+++******+++,,,---------------,,,,,,,,,+++++++++******+++,,,,,,,,,,,,,,,,,,+++++++++++++++************+++***)))(((''''''(((((()))))))))******)))))))))******++++++++++++******))))))))))))))))))))))))(((((((((((()))))))))))))))((((((''''''(((((()))))))))))))))))))))))))))+++++++++***)))***,,,...,,,+++***)))))))))))))))(((((((((((((((''''''''''''&&&%%%$$$###$$$$$$%%%&&&&&&%%%$$$$$$%%%&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&''''''((())))))(((((('''&&&&&&&&&&&&&&&'''''''''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%$$$%%%%%%&&&***'''&&&&&&((((((&&&$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&((())))))'''%%%&&&&&&''''''''''''&&&&&&'''''''''(((((((((((()))%%%&&&'''((((((((('''&&&%%%%%%%%%&&&&&&'''''''''((((((((((((''''''''''''((()))))))))'''&&&'''(((%%%%%%&&&&&&&&&&&&&&&&&&'''&&&%%%%%%%%%&&&'''(((&&&&&&&&&&&&&&&'''((((((((((((***+++,,,---------))))))))))))((((((''''''((()))))))))))))))(((((()))))))))***+++,,,,,,,,,)))***+++***))))))+++------+++))))))***+++***((('''((()))******++++++***+++++++++,,,------......///...---,,,++++++,,,---+++******)))(((((())))))***))))))(((((())))))***++++++++++++++++++++++++((((((((((((((()))***************))))))******+++,,,+++******))))))******((((((((((((((((((((((((((((((''''''''''''((((((((((((((((((((((((((((((''''''''''''(((((((((((((((((((((((((((((('''&&&)))'''&&&&&&''')))))))))((('''&&&&&&%%%%%%&&&&&&***'''%%%%%%''')))))))))((((((((((((((((((((((((&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''((('''&&&%%%%%%&&&((()))&&&&&&'''((()))))))))(((******)))))))))((((((((('''''''''((((((((())))))))))))(((((((((((())))))))))))(((((((((((())))))''''''&&&&&&&&&''''''(((((((((''''''''''''((((((&&&&&&''''''''''''''''''((('''&&&&&&&&&&&&'''(((''''''&&&&&&&&&''''''(((}}}ssskkkjjjhhhddd___YYYRRRMMMJJJDDDAAA===888555444444444444222111111222333333222222222222333333222222111000000000/////////......------------------------,,,------------,,,,,,+++.........------,,,+++***,,,,,,,,,+++++++++*********+++,,,------,,,+++************+++++++++++++++---+++)))''''''))),,,...))))))))))))))))))))))))***++++++,,,,,,++++++***************************))))))))))))(((((((((((((((''''''''''''''''''(((((((((************((((((+++,,,,,,+++))))))***,,,++++++***((((((''''''''''''''''''(((((((((((((((''''''&&&%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%&&&&&&'''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&''''''((('''''''''&&&&&&&&&&&&&&&(((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%$$$######$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%%%%%%%%%%&&&&&&((('''&&&&&&'''((('''%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&)))(((''''''''''''&&&$$$%%%&&&&&&'''''''''&&&&&&'''''''''(((((((((((()))%%%&&&''''''((((((''''''###$$$$$$%%%&&&'''((()))''''''''''''''''''''''''&&&'''((('''%%%$$$%%%&&&&&&&&&&&&&&&&&&&&&%%%%%%''''''&&&&&&''''''((()))'''&&&&&&&&&&&&'''((((((((()))***+++,,,---------)))))))))(((((((((((('''***++++++***)))(((''''''))))))******+++,,,,,,,,,***+++,,,+++******,,,...---+++))))))***+++***)))'''((()))******++++++************++++++,,,,,,------,,,,,,++++++++++++,,,+++***))))))((()))))))))+++******************+++++++++++++++++++++++++++(((((((((((())))))***+++******)))))))))))))))*********++++++******)))(((((((((((((((((((((((((((((((((''''''''''''((((((''''''''''''''''''''''''''''''''''''((((((((((((&&&'''((((((((((((((((((((('''%%%&&&((())))))((('''&&&%%%%%%%%%%%%%%%%%%)))'''%%%%%%''')))))))))((((((((((((((((((((((((%%%&&&'''((()))(((''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&%%%&&&''')))***''''''((((((((((((((('''))))))((((((((((((((('''&&&&&&&&&&&&''''''''''''(((((('''(((((()))***+++(((((())))))))))))((((((%%%%%%%%%%%%&&&'''((((((((((((''''''''''''(((((((((((('''''''''''''''''')))(((''''''''''''((()))&&&&&&&&&&&&&&&'''((()))}}}xxxtttoooiiiddd___[[[XXXPPPLLLEEE@@@<<<:::888777777555333333444555444333222333444444444333111111111000000///////////////////////////////////////,,,---------------,,,,,,............---,,,+++***,,,,,,,,,+++++++++*********+++,,,------,,,+++************++++++,,,,,,,,,---,,,***))))))***,,,---)))))))))(((((())))))))))))******++++++******)))***************+++++++++))))))))))))((((((((((((''''''&&&&&&&&&&&&'''''''''(((***++++++***((('''((()))***)))'''&&&'''(((+++***)))((('''&&&&&&&&&&&&&&&''''''(((((())))))((((((''''''&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%(((((('''&&&&&&%%%$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%((('''&&&%%%%%%%%%&&&'''''''''''''''''''''''''''''''''&&&%%%$$$$$$######%%%%%%&&&&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&&&&'''''''''&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''+++(((&&&%%%&&&'''&&&%%%*********)))((('''%%%$$$%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&'''''''''''''''$$$$$$%%%%%%&&&'''((((((&&&&&&'''''''''''''''(((%%%&&&'''&&&$$$$$$$$$&&&'''''''''&&&&&&%%%%%%%%%'''''''''''''''(((((((((''''''&&&&&&&&&''''''((('''((()))***++++++++++++(((((((((((((((((((((((()))))))))))))))(((''''''((((((((())))))************+++++++++******,,,---,,,+++******************'''((()))******++++++************+++++++++,,,,,,,,,,,,,,,++++++++++++,,,,,,,,,+++++++++++++++,,,,,,++++++******++++++,,,******************************))))))((())))))*********))))))(((((()))))))))***+++++++++***((('''((((((((((((((((((((((((((((((''''''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((((((((((((&&&&&&'''((())))))(((((()))'''&&&''')))***)))((((((''''''&&&&&&&&&'''''')))'''&&&&&&((())))))((((((((((((((((((((((((((($$$&&&((()))***)))'''&&&''''''''''''''''''''''''&&&&&&&&&'''''''''''''''&&&&&&&&&&&&'''(((***+++'''((((((((((((((('''&&&((((((((((((''''''''''''&&&&&&&&&''''''''''''(((''''''''''''((()))++++++'''((()))******)))((('''%%%%%%%%%&&&'''((()))***((((((''''''''''''(((((())))))((((((''''''&&&&&&(((''''''''''''''''''(((&&&&&&&&&&&&&&&'''((()))yyyqqqlllhhheeebbb\\\WWWOOOIIIEEEAAA>>>;;;888666444444444555444222333444555555555333222111111111000////////////000........................,,,------......---------------.........---,,,,,,,,,,,,,,,+++++++++************+++,,,,,,+++************++++++,,,,,,,,,---++++++++++++***)))(((((())))))(((''''''((())))))(((((())))))))))))(((((())))))******++++++++++++***)))))))))((((((((('''''''''&&&&&&&&&&&&''''''&&&''')))******)))'''&&&'''((()))(((&&&%%%&&&'''***)))((('''&&&&&&&&&&&&&&&&&&''''''(((((())))))((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%(((((('''&&&&&&%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%&&&''''''&&&&&&%%%'''&&&%%%$$$$$$%%%''''''''''''''''''''''''''''''''''''&&&%%%%%%$$$######%%%%%%%%%&&&&&&'''''''''&&&%%%%%%%%%&&&&&&'''(((''''''((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&'''''''''''''''''''''''')))'''$$$$$$&&&((((((((())))))))))))(((&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&''''''((((((&&&'''((('''%%%$$$%%%&&&'''''''''&&&&&&%%%%%%%%%%%%%%%&&&&&&''''''''''''(((''''''&&&&&&&&&''''''%%%&&&'''((((((((((((((('''''''''''''''(((((((((%%%&&&''''''((((((((('''))))))))))))************((()))******((()))***,,,+++++++++***))))))******'''((()))******++++++***+++++++++++++++,,,,,,,,,,,,,,,,,,------------,,,,,,+++++++++++++++,,,,,,,,,,,,++++++++++++,,,,,,************************---,,,+++)))((((((((((((++++++***)))))))))))))))))))))***++++++)))((('''((((((((((((((((((((((((((((((''''''''''''((((((''''''''''''''''''''''''''''''''''''((((((((((((&&&&&&'''((())))))(((((()))((('''(((***+++***)))''''''&&&&&&&&&''''''(((((('''&&&&&&((())))))(((((((((((((((((((((((((((%%%&&&(((******)))((('''''''''''''''''''''''''''&&&&&&&&&'''''''''((((((&&&&&&&&&'''((()))******'''((((((((((((((('''&&&''''''''''''(((((((((((('''(((((((((((()))))))))''''''''''''((()))++++++'''((()))******)))((('''''''''''''''((()))++++++((((((''''''''''''(((((()))))))))((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((((((zzzvvvqqqmmmgggaaaZZZSSSOOOKKKEEE@@@<<<:::777666555555333222555555555555444333222222222111000///...///000111------------------------,,,------............---,,,------............---,,,,,,,,,+++++++++******+++++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,******++++++***)))'''&&&))))))''''''''''''))))))'''(((((((((((((((((('''(((((())))))***+++++++++******))))))((((((''''''(((''''''''''''''''''(((''''''))))))))))))''''''''')))******)))''''''((())))))(((''''''''''''((('''''''''(((((((((((((((''''''((((((''''''&&&%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$&&&''''''&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$"""######$$$$$$%%%%%%&&&%%%%%%%%%%%%&&&'''((()))((())))))(((&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''%%%$$$$$$&&&)))))))))###$$$%%%&&&&&&&&&&&&&&&'''''''''(((((((((((()))'''&&&&&&&&&&&&'''((((((''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&''''''(((((('''((()))(((&&&%%%&&&'''&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&''''''''''''&&&(((((('''&&&&&&&&&&&&'''$$$%%%&&&&&&'''''''''&&&&&&''''''''''''((((((((($$$$$$%%%&&&'''''''''''',,,,,,,,,,,,,,,,,,,,,,,,((()))***)))((((((***,,,+++,,,,,,***)))(((***+++'''((()))******++++++***+++++++++++++++++++++++++++,,,,,,------------,,,)))))))))((())))))***+++,,,++++++******++++++,,,************************---,,,+++***)))(((((((((---,,,+++***))))))))))))))))))******))))))((('''((((((((((((((((((((((((((((((''''''''''''((((((************************''''''''''''((((((((((((&&&'''(((((((((((((((((((((''''''(((***+++)))(((%%%%%%%%%%%%%%%%%%&&&'''((('''&&&''')))))))))'''((((((((((((((((((((((((&&&'''((()))***)))((((((''''''''''''''''''''''''%%%%%%&&&&&&'''((((((((('''''''''((())))))))))))''''''(((((((((((((((''''''(((((((((((()))))))))))))))))))))************(((((('''(((((()))***+++(((((())))))))))))(((((((((((((((((()))***++++++((((((''''''''''''(((((())))))((((((((((((((((((%%%%%%&&&&&&&&&&&&%%%%%%(((''''''&&&&&&&&&''''''sssmmmfffaaa]]]WWWOOOIIIDDDAAA>>><<<;;;:::777666777666555444333333333333333222000///...///000111////////////////////////,,,,,,---...............------............------,,,,,,,,,+++++++++******,,,+++***))))))***+++,,,,,,,,,,,,,,,,,,,,,++++++*********)))))))))))))))***)))'''&&&&&&''')))***(((((())))))))))))((((((''''''((())))))***++++++*********)))(((''''''''')))((((((''''''(((((()))((((((((((((((((((((((((%%%''')))***)))(((((((((((((((''''''(((((()))***((((((((((((((('''''''''&&&&&&'''((('''&&&%%%$$$%%%&&&'''(((((('''&&&%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&%%%%%%%%%"""$$$%%%''''''&&&%%%$$$###$$$%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&""""""###$$$$$$%%%&&&&&&%%%%%%%%%&&&&&&'''((())))))******(((%%%###$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%&&&&&&&&&''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$%%%'''))))))((("""###$$$%%%&&&&&&&&&&&&'''''''''(((((((((((()))'''&&&&&&%%%&&&'''((()))%%%%%%&&&&&&&&&&&&&&&&&&$$$$$$%%%&&&&&&'''((((((&&&(((((('''&&&%%%&&&'''%%%%%%&&&&&&&&&&&&&&&&&&%%%&&&'''((()))(((((('''(((((('''&&&&&&&&&&&&&&&%%%%%%&&&'''''''''&&&&&&&&&&&&&&&'''''''''((((((&&&&&&'''''''''''''''&&&,,,,,,,,,,,,,,,,,,,,,,,,)))*********))))))+++---***,,,,,,+++(((((())),,,'''((()))******++++++***************************)))***+++,,,------,,,+++))))))(((((()))******+++++++++************++++++************************+++******))))))***++++++...---,,,+++******************)))(((((((((((((((((((((((((((((((((((((((((((((''''''''''''((((((************************''''''''''''(((((((((((((((((((((((((((((('''&&&&&&%%%%%%'''))))))'''%%%&&&&&&%%%%%%&&&&&&'''((('''&&&&&&''')))***((('''(((((((((((((((((((((((('''((((((((())))))))))))''''''''''''''''''''''''%%%%%%&&&&&&'''(((((()))((((((((()))))))))((((((&&&&&&'''((()))))))))(((((((((((()))))))))******)))))))))*********++++++))))))(((((((((((())))))))))))(((((((((((())))))))))))(((((((((((()))***((((((''''''''''''((((((((((((((((((((()))))))))%%%&&&'''(((((('''&&&%%%)))((('''&&&&&&&&&&&&&&&|||wwwpppkkkhhhaaaXXXPPPLLLJJJFFFCCCBBB@@@===;;;888777555444333333444444333222000///...///000222333333333333333333333333,,,,,,---.../////////...////////////...---,,,,,,,,,,,,,,,+++++++++******---+++)))'''''')))+++------------,,,,,,++++++++++++***((('''(((***---///***((('''&&&&&&'''(((***))))))************))))))&&&''''''((()))*********+++******)))(((''''''&&&))))))(((((((((((())))))((((((''''''''''''(((((("""$$$'''((('''&&&&&&'''(((''''''(((((()))***+++))))))(((((('''''''''&&&%%%&&&'''''''''&&&$$$$$$%%%&&&'''(((((('''&&&%%%%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&"""###%%%'''''''''%%%$$$"""###%%%&&&'''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%&&&&&&'''$$$$$$%%%&&&&&&'''((((((%%%%%%%%%&&&'''((()))))))))++++++)))%%%"""###$$$&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&'''''''''(((((())))))%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%&&&(((((('''&&&(((((((((((('''&&&%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''&&&%%%&&&'''((()))###$$$$$$%%%&&&'''(((((($$$$$$%%%%%%&&&'''((((((&&&'''((('''%%%$$$%%%&&&%%%%%%%%%&&&&&&'''''''''&&&''')))*********)))((()))((('''&&&&&&&&&&&&&&&&&&&&&''''''((('''''''''&&&&&&&&&'''''''''(((((())))))))))))((('''&&&%%%***************************+++,,,+++******,,,...***,,,---+++((('''))),,,'''((()))******++++++***))))))))))))((((((((((((((()))***+++,,,,,,+++***++++++******+++,,,------+++******************+++))))))))))))))))))))))))((((((((()))***,,,---...///...---,,,+++++++++++++++***((('''''''''((()))((((((((((((((((((((((((((((((''''''''''''((((((''''''''''''''''''''''''''''''''''''((((((((()))((()))))))))((('''&&&&&&$$$###$$$%%%''''''%%%###((((((((((((((()))***+++'''&&&&&&((()))***((('''((((((((((((((((((((((((((((((((('''((()))******((((((((((((((((((((((((%%%%%%&&&&&&'''((())))))((()))))))))))))))((('''%%%%%%'''((())))))))))))(((((())))))******++++++))))))))))))***************))))))(((((((((((()))***)))(((''''''((()))***)))((((((''''''''''''(((((((((''''''''''''((((((''''''(((((())))))******&&&'''((())))))((('''&&&***)))((('''&&&%%%%%%%%%{{{uuummmaaaXXXTTTSSSQQQNNNKKKHHHEEECCCAAA>>>:::777666666777777333222222444555444111///222111///.........///000///////////////000000000000000///...---,,,,,,,,,---,,,++++++------,,,+++++++++++++++++++++++++++------------,,,,,,+++***))))))))))))))))))))))))((((((''''''''''''((((((++++++************++++++,,,,,,+++***)))))))))***))))))))))))))))))))))))((((((((((((((((((((((((&&&''''''((((((((((((((()))(((((((((((()))******))))))((((((''''''&&&&&&&&&&&&''''''(((((())))))'''''''''''''''''''''''''''&&&&&&%%%%%%%%%&&&&&&###%%%((((((%%%$$$&&&(((///,,,)))%%%######$$$%%%'''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&######$$$%%%%%%%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%'''''''''(((((((((((()))%%%%%%$$$###$$$%%%&&&'''***)))(((&&&&&&%%%%%%%%%((('''&&&%%%%%%%%%%%%&&&&&&$$$###$$$'''(((%%%###(((((())))))(((&&&$$$###''''''&&&&&&&&&%%%%%%%%%''''''(((((('''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((()))***++++++***)))(((&&&'''((()))((('''%%%$$$'''&&&&&&&&&&&&'''((((((''''''''''''''''''''''''$$$%%%'''((((((((('''&&&'''''''''''''''''''''''''''''''''&&&%%%%%%%%%$$$(((%%%$$$%%%'''(((&&&$$$&&&'''((())))))((('''&&&))))))))))))(((((((((((('''))))))((('''&&&'''((((((((((((((())))))))))))++++++******))))))(((((()))************+++++++++++++++************++++++))))))*********+++++++++******))))))))))))******))))))*********+++++++++++++++++++++++++++++++++)))***+++,,,,,,+++***)))************************---,,,***)))))))))******))))))))))))(((((((((((())))))))))))************)))((('''(((******&&&###&&&&&&&&&&&&&&&'''((()))&&&&&&'''((()))***+++,,,'''''''''''''''''''''''''''((()))******)))((('''''''''&&&&&&&&&%%%%%%%%%(((((('''''''''&&&&&&&&&%%%&&&''''''((((((''''''$$$%%%&&&((())))))))))))''''''(((((()))*********%%%%%%%%%######$$$''')))&&&((())))))((((((***+++)))))))))))))))******+++))))))************))))))******))))))((((((''''''&&&'''(((***++++++++++++''''''&&&''''''((()))***(((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))(((((())))))))))))((((((''''''''''''''''''''''''~~~qqqfffbbb___[[[WWWTTTRRRPPPOOOKKKGGGBBB>>>;;;888777666666555555555666666444333222222111000000000000111000000000000000000000000222111000///...............---,,,---......---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------,,,,,,+++******************************))))))(((((())))))***))))))(((((((((((()))))),,,+++******))))))******))))))))))))))))))))))))((((((((((((((((((((((((&&&'''(((((())))))((((((''''''((((((((()))))))))((((((((((((((('''''''''''''''''''''((((((((((((((((((((((((((((((((((((((('''''''''''''''((((((###%%%''''''&&&%%%&&&(((***)))'''%%%$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''&&&&&&%%%&&&'''((()))******)))((('''&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%'''%%%%%%&&&((((((&&&$$$'''((((((((((((&&&%%%$$$''''''''''''&&&&&&%%%%%%''''''(((((('''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((((('''&&&&&&(((((('''&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&''''''''''''''''''''''''''''''%%%&&&''''''(((''''''''''''''''''''''''&&&&&&&&&((((((((((((''''''''''''(((&&&$$$%%%'''(((&&&$$$&&&'''(((((((((((('''&&&((((((((('''''''''''''''%%%'''((((((''''''(((***(((((((((((())))))))))))*********)))))))))))))))))))))*********+++++++++++++++************++++++************++++++++++++++++++************++++++******+++++++++,,,,,,,,,++++++++++++++++++++++++)))***++++++++++++***)))************************,,,+++***)))))))))***+++))))))))))))((((((((((((&&&'''''''''((((((((((((***(((''''''))))))'''$$$'''&&&&&&&&&&&&'''((())))))))))))(((((('''''''''''''''''''''''''''''''''((()))************)))(((((('''''''''&&&&&&&&&%%%))))))((((((((('''''''''&&&&&&''''''((((((''''''&&&'''((((((((((((((('''******)))((((((''''''&&&&&&'''&&&%%%$$$%%%'''***&&&((())))))''''''(((***))))))(((((())))))***+++))))))************))))))))))))(((((((((((((((((((((((())))))***)))))))))((((((((('''(((((())))))((((((((((((((((((((((((******))))))(((((('''''''''''''''''''''''''''''''''(((((())))))(((((('''''''''''''''''''''''''''}}}vvvrrrlllgggccc```]]][[[VVVRRRKKKEEE@@@<<<777444777555444333444555444333222333333333333222111111111111111111111111111111222222111000///////////////...---...///000///---------------------------,,,,,,---------,,,+++++++++++++++++++++++++++++++++******))))))******+++))))))(((((((((((())))))++++++***)))))))))******))))))))))))))))))))))))((((((((((((((((((((((((&&&'''(((((())))))((((((%%%&&&'''((()))((('''''''''''''''(((((((((((((((((((((((('''''''''''''''((((((((((((((((((((((((((((((((((((((()))***+++###%%%''''''&&&%%%&&&'''%%%%%%%%%%%%&&&&&&&&&'''%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&((((((''''''(((((()))*********)))(((((('''''''''%%%&&&'''''''''&&&%%%$$$((('''&&&'''))))))'''%%%&&&''''''(((((('''&&&&&&(((((((((''''''''''''&&&'''''''''(((''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%***(((&&&%%%$$$%%%'''(((%%%$$$$$$$$$$$$%%%&&&&&&(((((((((((((((((((((((('''&&&&&&&&&&&&'''(((((((((((('''''''''&&&&&&&&&''''''''''''(((((((((((('''&&&%%%&&&'''''''''%%%&&&&&&''''''''''''&&&&&&&&&&&&&&&'''''''''''''''$$$&&&'''(((((((((***+++(((((((((((())))))))))))))))))))))))************)))))))))*********++++++++++++************++++++******+++++++++,,,,,,,,,,,,,,,++++++++++++,,,,,,+++++++++,,,,,,,,,------************************)))******++++++******)))******************************)))))))))***++++++))))))))))))((((((((((((&&&&&&'''''''''(((((((((***((('''&&&((((((((('''''''''&&&&&&''''''((((((***))))))((('''&&&%%%%%%'''''''''''''''''''''''''''(((((())))))(((((('''(((((((((((('''''''''''')))))))))))))))(((((((((&&&&&&'''''''''(((((((((((((((((((((((('''&&&&&&))))))(((((('''&&&&&&%%%((()))((('''%%%%%%''')))'''((()))(((&&&&&&'''((())))))(((((())))))***+++((())))))******))))))((('''''''''((((((((((((((()))))))))))))))((('''&&&******)))((((((((())))))(((((((((((((((((((((((())))))))))))))))))))))))'''''''''''''''''''''''''''''''''(((((('''''''''''''''''''''''''''''''''|||wwwpppiiicccbbb]]]UUUOOOKKKFFF@@@;;;<<<999666555555555444333222222333444444222111000333333222222222222222111222111000//////////////////...------//////...---------------------------,,,,,,,,,------,,,,,,+++++++++++++++++++++++++++*********))))))*********++++++************++++++******))))))))))))******))))))))))))))))))))))))((((((((((((((((((((((((''''''((()))))))))))))))$$$%%%'''))))))(((&&&%%%&&&&&&''''''(((((())))))(((((((((''''''&&&&&&&&&((((((((((((((((((((((((''''''''''''((()))++++++$$$%%%&&&'''&&&&&&&&&&&&"""###%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&'''''''''(((((((((((((((((((((((()))))))))((((((((((((((('''&&&&&&$$$%%%'''(((((('''%%%###'''''''''(((((((((&&&&&&%%%&&&&&&''''''(((((((((((((((((((((((((((((('''&&&'''''''''''''''&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''')))((('''&&&%%%&&&''''''%%%%%%%%%$$$%%%%%%&&&'''((((((((((((((((((((((((''''''&&&%%%%%%'''((()))((((((((('''&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&'''&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((((((%%%&&&(((((('''''')))+++(((((((((((())))))))))))(((((())))))******++++++))))))))))))************++++++************++++++++++++++++++,,,,,,,,,,,,+++++++++******+++++++++******++++++++++++,,,,,,))))))))))))))))))))))))))))))************))))))************************((()))))))))******++++++))))))))))))((((((((((((((((((((()))))))))*********((('''&&&&&&'''((()))((((((''''''''''''((((((&&&&&&&&&'''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&)))))))))((((((((((((((((((((((((((((((((((((((('''''''''''''''(((((()))'''(((((((((((((((''''''%%%%%%&&&&&&'''(((((((((((())))))'''%%%%%%&&&((('''((()))(((&&&%%%%%%&&&((((((((((((((()))******(((((())))))))))))((((((&&&&&&''''''((((((((()))''''''((((((((((((''''''++++++***))))))((())))))((((((((((((((((((((((((&&&&&&'''((()))***++++++''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&''''''''''''''''''''''''zzzpppooohhh```ZZZWWWRRRMMMHHHEEEBBB>>>;;;999888666555111222333444333222111000333333333333222222111111000000//////......//////...---,,,---...///...,,,,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,------,,,,,,,,,***************************))))))(((((())))))***++++++************++++++***))))))((())))))******))))))))))))))))))))))))))))))))))))))))))))))))'''(((((()))))))))))))))$$$%%%'''))))))(((&&&%%%&&&&&&''''''(((((())))))((((((''''''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&'''((()))***%%%%%%%%%&&&''''''&&&&&&###$$$&&&''''''%%%$$$###%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''(((&&&&&&''''''((((((((((((&&&&&&'''''''''&&&%%%$$$###%%%'''(((((('''%%%$$$&&&'''((('''&&&&&&%%%%%%%%%&&&&&&&&&'''(((((()))'''(((((((((((((((((((((&&&&&&'''''''''''''''&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''&&&'''((((((((('''%%%%%%&&&&&&&&&&&&&&&''''''(((((((((((((((((((((((((((''''''&&&%%%%%%'''((()))(((((('''''''''&&&&&&&&&###$$$$$$$$$%%%%%%&&&&&&'''''''''''''''&&&''''''&&&&&&&&&%%%%%%&&&&&&&&&''''''((((((((()))))))))'''((()))((('''&&&'''((((((((((((((())))))))))))(((((())))))******++++++(((((()))))))))*********++++++************++++++******+++++++++,,,,,,,,,******))))))))))))******))))))))))))************))))))))))))))))))))))))))))))))))))))))))))))))************************(((((())))))************))))))))))))(((((((((((((((((((((((()))))))))))))))((('''&&&&&&'''(((***)))(((((('''''''''((((((&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''))))))))))))))))))))))))''''''''''''''''''''''''(((''''''''''''((()))***%%%&&&'''((())))))))))))%%%%%%&&&&&&'''((((((((('''(((((('''%%%$$$%%%&&&'''((()))(((&&&%%%%%%&&&((((((((('''((())))))***(((((())))))))))))((((((&&&'''''''''(((((())))))%%%&&&'''((())))))))))))++++++***))))))((())))))))))))))))))))))))))))))&&&&&&&&&''''''''''''(((((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&''''''''''''''''''''''''|||sssiiibbb^^^ZZZUUUOOOLLLHHHCCC???;;;888444111222333333333333222111111444333333222222111111111000//////....../////////...---,,,---......---,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,---------,,,,,,)))))))))))))))))))))))))))))))))(((((()))))))))))))))(((((((((((())))))))))))((((((((()))******))))))))))))))))))))))))))))))))))))))))))))))))'''((())))))******))))))%%%&&&'''((()))((('''''''''''''''((((((((((((((('''''''''&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''(((%%%%%%$$$&&&'''((('''%%%&&&&&&'''''''''%%%$$$###%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$%%%&&&''''''''''''&&&$$$%%%&&&''''''&&&$$$$$$$$$%%%&&&'''''''''&&&%%%&&&''')))(((&&&$$$$$$%%%&&&&&&&&&&&&&&&'''((()))&&&''''''''''''(((((((((%%%&&&''''''((('''''''''''''''''''''''''''''''''&&&%%%%%%$$$$$$%%%%%%&&&%%%'''((())))))'''%%%$$$'''&&&&&&&&&&&&'''(((((('''''''''''''''''''''''''''&&&&&&&&&&&&'''((((((''''''''''''''''''''''''&&&&&&&&&&&&''''''''''''&&&((((((((('''&&&'''(((''''''&&&&&&&&&&&&''''''''''''(((((()))*********((()))))))))'''&&&&&&((((((((((((((())))))))))))))))))))))))************((((((((()))))))))******++++++************++++++))))))*********+++++++++***))))))))))))))))))***((((((((())))))))))))******************************))))))(((((())))))***************************(((((()))*********))))))))))))))))))((((((((((((%%%%%%&&&&&&&&&''''''''''''(((((((((&&&'''(((***))))))((((((''''''((((((***))))))((('''&&&%%%%%%''''''''''''''''''''''''***))))))(((((())))))***(((((((((((())))))))))))&&&&&&&&&&&&'''''''''''')))((('''''''''((()))***$$$%%%&&&((())))))******))))))(((((('''&&&&&&%%%&&&'''((('''&&&%%%%%%''''''((()))(((&&&&&&'''(((((((((''''''(((((()))***'''(((((())))))(((((('''(((((((((((())))))))))))%%%%%%'''((()))***************)))((((((((())))))))))))))))))))))))))))))***)))((('''%%%$$$###"""))))))))))))))))))))))))'''''''''(((((('''''''''''''''''''''''''''''''''zzzpppkkkggg```ZZZUUURRRLLLGGGBBB;;;555111555444444333333333333333333333333222111111000000111000000//////000000111///...---.../////////---------------------------***+++,,,,,,---------,,,************************+++******))))))******+++))))))(((((((((((())))))((((((((((((((()))******))))))))))))))))))))))))))))))))))))))))))))))))(((((()))************)))''''''((((((((()))))))))((((((((((((((('''''''''%%%&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&$$$$$$%%%(((((('''%%%'''''''''''''''&&&%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$%%%&&&'''''''''&&&&&&$$$%%%&&&(((((('''%%%$$$%%%%%%%%%&&&&&&&&&''''''''')))***)))'''%%%%%%&&&''''''&&&&&&&&&'''((((((%%%%%%&&&&&&''''''''''''%%%&&&&&&'''(((((('''''''''''''''''''''''''''''''''&&&%%%$$$$$$%%%&&&''''''''''''''''''&&&&&&%%%&&&&&&%%%%%%&&&&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''((('''''''''%%%%%%&&&&&&'''(((((((((''''''&&&&&&&&&&&&&&&&&&&&&((())))))&&&&&&''')))(((((('''&&&&&&'''((((((&&&&&&''''''((())))))***&&&''')))(((''''''((()))(((((((((((())))))))))))*********)))))))))))))))(((((((((((()))))))))***++++++************++++++(((((()))))))))*********+++******))))))******+++((())))))))))))*********++++++++++++++++++++++++***)))(((''''''((()))***************************((())))))******)))((('''))))))))))))((((((((((((%%%%%%%%%&&&&&&&&&''''''$$$'''))))))''''''(((*********)))((((((((((((((()))))))))(((((('''''''''''''''''''''''''''''''''))))))(((''''''((())))))'''''''''(((((()))))))))&&&'''''''''(((((((((((()))((('''&&&'''(((***+++&&&&&&'''((())))))((((((******)))((((((''''''&&&%%%'''(((((('''''''''(((&&&((())))))''''''(((***(((''''''''''''((())))))''''''((((((((((((''''''***************)))))))))'''(((((()))*********)))((((((((('''(((((()))))))))))))))))))))))))))))))))(((((('''&&&%%%%%%%%%(((((((((((((((((((((((('''(((((())))))(((((('''''''''''''''''''''''''''}}}wwwpppiiibbb___ZZZTTTMMMEEE===888777666555333333444555555333333222222111000//////222111111111111111222222111///...///000111000///////////////////////////***+++,,,,,,------------++++++++++++++++++++++++,,,++++++++++++++++++,,,++++++************++++++((((((((((((((()))******))))))))))))))))))))))))))))))))))))))))))))))))(((((()))***************)))(((((((((((()))******))))))(((((('''''''''&&&%%%%%%%%%&&&&&&'''''''''''''''''''''''''''''''''''''''&&&%%%%%%%%%&&&&&&&&&$$$$$$%%%((()))'''$$$&&&&&&&&&''''''''''''((('''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&'''''''''$$$%%%'''((((((((('''&&&$$$&&&'''))))))(((&&&%%%&&&%%%%%%%%%%%%&&&'''((((((***,,,+++(((%%%&&&(((((('''&&&%%%%%%&&&'''(((%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&'''((((((((('''(((((((((((((((((((((((()))(((''''''''''''((()))***(((&&&%%%%%%%%%'''(((%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%'''((((((((('''&&&$$$%%%%%%&&&'''((())))))%%%%%%%%%$$$$$$#########&&&(((***)))&&&%%%'''))))))((('''&&&&&&'''((()))%%%%%%&&&&&&'''((())))))$$$&&&'''((('''(((***+++(((((((((((())))))))))))++++++******))))))(((((((((((((((((())))))))))))++++++************++++++(((((((((((()))))))))))),,,++++++++++++++++++,,,)))************+++++++++++++++++++++++++++++++++***)))(((''''''((()))***************************))))))*********((('''&&&))))))))))))(((((((((((('''''''''((((((((())))))###&&&******((('''((()))******)))(((((((((((((((&&&&&&'''((()))***+++,,,''''''''''''''''''''''''&&&%%%$$$$$$$$$$$$%%%&&&&&&'''''''''(((((())))))'''((((((((())))))*********)))'''&&&'''(((***+++(((((((((((((((''''''&&&''''''(((((()))*********%%%''')))***)))((()))***&&&((())))))((((((***+++'''''''''''''''((())))))''''''(((((((((((('''''',,,,,,++++++******))))))***************))))))((('''''''''''''''((()))***))))))))))))))))))))))))$$$%%%&&&'''(((***++++++''''''''''''''''''''''''(((((())))))))))))((((((''''''''''''''''''''''''}}}tttmmmggg```\\\YYYQQQDDD:::<<<777444777888777777:::333333444444444333333222333222111111000000111111000000000000////////////.........///////////////------------------------++++++++++++++++++++++++++++++***)))(((((())))))******++++++++++++******((())))))))))))*********)))((((((((((((***,,,---+++*********))))))((((((******))))))((((((''''''))))))))))))))))))))))))''''''&&&&&&&&&%%%%%%%%%((((((''''''''''''((((((''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''((((((,,,'''!!!"""''')))&&&"""%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''%%%$$$$$$$$$$$$%%%&&&&&&((('''%%%$$$$$$%%%'''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''%%%$$$%%%&&&''''''&&&&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&,,,***(((&&&%%%&&&'''((('''(((((((((&&&%%%&&&'''%%%&&&&&&''''''''''''''''''&&&&&&&&&&&&'''(((((('''&&&%%%%%%%%%%%%&&&'''******))))))((((((((('''$$$%%%&&&''''''&&&%%%$$$''''''&&&&&&&&&&&&''''''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&(((''''''''''''&&&&&&&&&%%%%%%%%%&&&'''((())))))%%%%%%%%%&&&&&&&&&''''''''''''&&&%%%$$$$$$$$$$$$'''&&&&&&&&&&&&'''(((((())))))))))))))))))))))))((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&*********)))))))))))))))&&&'''((()))***+++,,,,,,******))))))***,,,...///------,,,,,,+++***)))))))))))))))))))))))))))))))))************+++++++++)))))))))***+++++++++,,,******))))))))))))******))))))))))))))))))))))))&&&'''((())))))((('''&&&+++***)))'''''''''((()))&&&&&&&&&&&&&&&&&&&&&&&&'''&&&$$$######$$$&&&''',,,+++***))))))***+++,,,)))))))))))))))(((''''''''''''((())))))((('''&&&&&&&&&&&&&&&&&&'''((()))))))))))))))))))))))))))(((((((((((((((''''''&&&&&&&&&&&&'''((())))))***)))))))))))))))(((((('''&&&'''((('''&&&&&&'''(((&&&&&&&&&'''''''''''''''&&&'''(((*********)))((()))***)))'''$$$""""""###((((((''''''''''''(((((()))((('''''')))******))),,,,,,,,,+++++++++******))))))))))))((((((((((((((()))++++++)))((()))***((((((((((((((()))******(((((())))))))))))(((((()))))))))))))))(((''''''&&&&&&&&&''''''(((((((((xxxqqqiiidddbbb]]]TTTMMMEEE>>>999999999777777888555555555555444444333222222222222222222111111111111000000000//////////////////////////////......------------------------++++++++++++++++++++++++++++++***)))))))))))))))******++++++++++++******)))))))))*********++++++((((((((((((((()))***+++************)))))))))(((***)))))))))((((((((('''))))))))))))))))))))))))((((((((('''''''''&&&&&&((((((''''''''''''(((((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''((((((,,,((($$$$$$''')))'''%%%&&&&&&&&&'''''''''((((((''''''''''''''''''''''''%%%%%%%%%%%%%%%&&&&&&''''''&&&%%%%%%%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$&&&''''''&&&&&&((()))''''''&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&'''+++***(((&&&%%%&&&'''''''''(((((((((&&&%%%&&&''''''(((((()))))))))))))))((('''&&&%%%%%%%%%%%%%%%'''&&&%%%%%%%%%%%%&&&'''((('''''''''&&&&&&&&&%%%%%%&&&'''(((((('''&&&%%%''''''&&&&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&%%%%%%%%%&&&&&&'''((()))&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%$$$$$$%%%%%%'''&&&&&&&&&&&&'''(((((((((((((((((((((((((((((('''''''''''''''''''''''''''(((((((((((((((((('''))))))))))))))))))))))))''''''((()))***++++++,,,+++************+++---...,,,,,,,,,+++***)))))))))))))))))))))))))))))))))))))))*********+++++++++******************++++++***))))))(((((())))))***))))))))))))))))))))))))'''((())))))))))))((('''***))))))(((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%$$$$$$%%%&&&''''''''''''&&&&&&''''''''')))))))))))))))(((''''''''''''((())))))((('''&&&&&&&&&&&&&&&&&&'''((((((((((((((((((((((((((((((&&&&&&'''((())))))((((((&&&&&&''''''((())))))***&&&''''''((()))))))))(((&&&'''((('''&&&&&&'''(((((('''''''''''''''''''''''''''(((((((((((('''''''''(((((('''%%%$$$%%%&&&(((((((((((((((((((((((()))((('''''')))******))),,,+++++++++************))))))))))))((((((((((((((()))++++++)))((()))***((('''''''''(((((()))***%%%%%%&&&&&&&&&&&&%%%%%%((((((((((((((('''&&&&&&######$$$$$$$$$%%%%%%%%%uuunnnkkkggg```[[[PPPGGG>>><<<:::666444555666666555555555444333333222333333444444222111000111111000000000/////////000000000//////.........------------------------++++++++++++++++++++++++++++++***))))))))))))*********++++++++++++******************+++++++++,,,))))))******+++*********************))))))))))))))))))))))))(((((((((((()))))))))))))))))))))))))))))))))(((((((((''''''(((((((((''''''((((((((())))))((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''(((((())))))((('''''''''(((((('''''''''((((((((())))))''''''''''''''''''''''''&&&&&&&&&%%%&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''((('''((()))+++''''''&&&&&&&&&&&&'''''''''''''''&&&&&&'''''''''***)))(((&&&&&&&&&'''''''''(((((((((&&&%%%&&&''''''(((((()))))))))))))))((('''&&&%%%$$$#########'''&&&&&&%%%%%%&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&''''''((((((''''''&&&''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%&&&'''((()))''''''&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%%%%&&&&&&'''&&&&&&&&&&&&'''((((((''''''''''''''''''''''''''''''''''''''''''''''''(((((())))))))))))(((((())))))))))))))))))))))))(((((())))))*********+++++++++*********++++++,,,++++++******))))))(((((()))))))))))))))))))))))))))))))))*********++++++******************)))))))))((((((''''''(((((()))))))))))))))))))))))))))((())))))******))))))((((((((()))))))))(((''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''(((((())))))((((((''')))))))))))))))((((((''''''(((((())))))((((((''''''&&&&&&&&&&&&'''(((((((((((((((((((((((((((((($$$%%%&&&((())))))******&&&&&&''''''((()))))))))###$$$&&&'''((()))))))))&&&'''((('''&&&&&&'''((()))))))))(((((('''''''''(((''''''&&&&&&&&&&&&'''&&&'''((((((&&&&&&''')))&&&'''((())))))((('''&&&)))((('''((()))******(((************))))))))))))(((((((((((())))))))))))((()))++++++)))((()))***'''''''''&&&''''''((()))'''(((((())))))((((((''''''''''''''''''&&&&&&%%%&&&&&&&&&'''''''''''''''zzzssskkkeee^^^SSSGGGCCC@@@;;;777777666555555555555555555555222333555666555444222000111111111000000000//////222111111000///...------............------------++++++++++++++++++++++++++++++***))))))***************++++++++++++************+++++++++,,,,,,,,,++++++---------,,,+++************)))))))))))))))))))))))))))(((((((((((((((((((((((((((((((((((()))))))))(((((((((''''''''''''((((((((((((''''''(((((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''((((((&&&((()))(((&&&%%%''')))&&&'''''''''(((((((((((('''''''''''''''''''''''''''&&&&&&&&&&&&'''((((((%%%&&&&&&''''''&&&&&&%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$&&&''''''&&&&&&''')))''''''&&&&&&&&&&&&''''''(((''''''&&&&&&''''''((()))((('''&&&&&&&&&&&&''''''(((((((((&&&%%%&&&'''%%%&&&&&&'''''''''''''''((('''&&&%%%$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((((((((((((((('''(((((((((((((((((('''''''''&&&&&&&&&&&&'''''''''''''''&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&&&&%%%%%%&&&%%%%%%%%%&&&&&&'''(((''''''''''''&&&&&&&&&&&&'''&&&&&&&&&&&&&&&'''''''''&&&&&&&&&&&&'''((((((''''''''''''''''''''''''''''''''''''''''''''''''((((((((())))))(((((((((((((((((())))))))))))))))))))))))))))))*********+++++++++*********************))))))((((((((('''(((((((((((((((((((((((())))))))))))************++++++******))))))((((((((((((''''''''''''(((((())))))))))))))))))))))))))))))************))))))'''''')))))))))((('''&&&''''''''''''''''''''''''''''''(((((((((((('''''''''((()))******)))((('''(((((())))))))))))(((((('''((((((((())))))))))))''''''&&&&&&&&&''''''(((((((((((((((((((((((((((%%%&&&'''((())))))))))))''''''''''''(((((())))))###$$$%%%&&&''''''''''''&&&'''((('''&&&&&&&&&(((+++******)))(((''''''&&&''''''&&&%%%&&&''')))***&&&'''))))))((('''((()))%%%''')))******)))'''%%%(((''''''(((******)))((()))))))))))))))((((((((((((((((((((())))))))))))((()))++++++)))((()))***''''''&&&&&&&&&''''''((())))))************))))))'''''''''((((((''''''&&&((((((((((((((((((((((((~~~xxxmmmaaaTTTNNNJJJEEE???>>>666666555555555666777777333444666777666555333111111111111111000000000000222222111000///......---/////////......---------+++++++++++++++++++++++++++***************++++++******++++++++++++************+++++++++,,,,,,,,,***+++,,,,,,,,,+++***)))))))))))))))))))))******(((((((((((())))))))))))((((((((((((((((((((((((((((((((('''''''''&&&&&&''''''((())))))((('''''''''''''''&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''((((((###&&&)))(((%%%###&&&)))%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&'''((((((%%%&&&&&&''''''&&&&&&%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&'''&&&$$$###$$$%%%''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&''''''(((''''''&&&&&&&&&&&&&&&'''(((((((((&&&%%%&&&'''%%%&&&&&&'''''''''''''''''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((((((((((((((((((((''''''(((((((((''''''&&&&&&&&&&&&'''''''''''''''&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&%%%%%%%%%&&&%%%%%%%%%%%%&&&&&&'''''''''''''''''''''''''''&&&&&&&&&&&&'''(((((()))'''&&&&&&&&&&&&'''((((((''''''''''''''''''''''''''''''''''''''''''''''''&&&''''''((((((''''''&&&''''''(((((()))))))))))))))))))))))))))******************************))))))))))))((((((((((((((((((((((((((((((((((((((((((((()))))))))*********+++******))))))(((((((((((((((''''''''''''(((((())))))))))))))))))))))))******))))))))))))******&&&'''((())))))((('''&&&'''''''''''''''''''''''''''(((((())))))(((((('''###$$$%%%&&&&&&%%%$$$###(((((())))))))))))(((((((((((((((((())))))******(((''''''&&&&&&&&&'''''''''''''''''''''''''''''''''(((((((((((((((''''''''''''''''''((((((((((((%%%&&&&&&&&&&&&&&&%%%%%%&&&'''((('''&&&&&&&&&(((+++******)))(((''''''&&&&&&&&&&&&&&&'''))),,,---&&&(((***)))((('''''''''%%%''')))******)))'''%%%((('''''')))***+++)))'''(((((((((((((((((((((((('''((((((((()))))))))***((()))++++++)))((()))***((('''&&&&&&&&&&&&''''''%%%&&&&&&''''''&&&&&&%%%'''(((((()))))))))((((((&&&%%%%%%%%%%%%%%%%%%%%%{{{mmm___YYYTTTMMMFFFBBB<<<:::999777777777888888555666666777666555444333222222111111111000000000111111111000000/////////000000//////...---------+++++++++++++++++++++++++++************+++,,,,,,******++++++++++++******************+++++++++,,,(((((()))))))))))))))((())))))))))))************(((((((((((())))))))))))))))))))))))))))))))))))((((((((('''''''''&&&&&&&&&'''((())))))((('''&&&'''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''(((((("""%%%((((((%%%$$$&&&(((%%%%%%%%%&&&&&&&&&&&&'''''''''''''''''''''''''''&&&&&&&&&%%%&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&###""""""###''''''&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((((((((&&&%%%&&&''''''(((((()))))))))))))))'''&&&&&&&&&&&&'''((()))%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&(((''''''&&&&&&''''''(((''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&'''''''''(((((((((&&&&&&&&&'''((()))***+++'''&&&&&&&&&&&&'''((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&''''''(((((())))))***(((((())))))*********+++))))))******+++******)))))))))))))))(((((((((((())))))))))))))))))))))))((((((((()))))))))******))))))))))))))))))(((((()))((((((''''''(((((()))))))))))))))))))))))))))***))))))(((((())))))***&&&&&&'''(((((((((''''''''''''''''''''''''''''''((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&'''(((((()))))))))))))))(((((((((((()))***++++++(((((('''&&&&&&&&&&&&'''''''''''''''''''''''''''((((((((((((((('''&&&&&&''''''((((((((((((((((((&&&&&&''''''&&&&&&%%%$$$&&&'''((('''&&&&&&'''((()))))))))(((((('''''''''&&&&&&'''''')))***,,,---%%%'''))))))(((&&&&&&&&&&&&'''((())))))((('''&&&''''''''')))++++++)))'''(((((((((((())))))))))))''''''(((((())))))******((()))++++++)))((()))***)))(((''''''&&&'''''''''''''''(((((((((((('''''''''((())))))))))))))))))(((''''''''''''&&&&&&&&&rrrkkkfff]]]SSSMMMEEECCC???<<<999888888888777777777666666666555555222222222111111111000000111000000000000000000000000000000///...---------+++++++++++++++++++++++++++*********++++++,,,---******++++++++++++******)))))))))*********++++++)))))))))))))))***+++,,,((()))))))))************'''((((((((()))))))))***)))))))))))))))))))))))))))))))))(((((((((''''''&&&'''((())))))((('''&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''(((((($$$%%%'''(((''''''''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''%%%%%%%%%%%%%%%&&&&&&''''''&&&%%%%%%%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&'''&&&$$$######%%%''''''&&&&&&&&&&&&''''''%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&'''&&&&&&&&&'''(((((((((&&&%%%&&&''''''(((((()))))))))))))))''''''&&&&&&%%%&&&&&&&&&%%%%%%&&&''''''&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&((('''&&&%%%%%%&&&'''(((''''''&&&&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$&&&&&&%%%%%%$$$%%%%%%&&&%%%%%%&&&'''((()))******&&&&&&&&&'''(((***+++,,,'''&&&&&&&&&&&&'''((((((((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((((((''''''&&&&&&''''''((())))))***''''''((()))***++++++,,,'''((()))***++++++******))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((()))))))))***((((((((()))))))))))))))***))))))(((((())))))***))))))))))))))))))))))))))))))(((''''''((())))))&&&&&&&&&&&&&&&'''((()))''''''''''''''''''''''''(((((('''&&&&&&'''((((((***))))))))))))))))))***''''''((()))))))))))))))(((((((((((((((***+++,,,(((((('''&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&'''((((((((((((((('''((((((((((((((((((((('''%%%&&&&&&''''''''''''&&&&&&'''((('''&&&&&&'''(((((('''''''''''''''''''''''''''(((((()))((((((((("""$$$'''(((((('''''''''((((((((((((((((((((((((''''''((()))++++++)))'''((((((((())))))*********'''''''''((()))*********((()))++++++)))((()))******)))(((((('''''''''((())))))************))))))&&&'''(((((())))))((((((************)))))))))(((|||qqqeee^^^LLLIIIEEE@@@;;;999777777888888777666555666666666222222222111111111111000000000000000000111111111111000000///...---------+++++++++++++++++++++++++++*********+++,,,,,,---******++++++++++++******((())))))))))))*********,,,,,,++++++,,,...000111(((((())))))*********+++'''((((((((())))))******))))))))))))))))))))))))************))))))))))))&&&'''(((******((('''&&&)))(((((((((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''((((((%%%&&&''')))))))))((('''''''''''''''((((((((()))''''''''''''''''''''''''%%%$$$$$$$$$$$$%%%&&&&&&((('''%%%$$$$$$%%%'''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$&&&''''''%%%%%%&&&''''''''''''&&&&&&'''''''''%%%$$$$$$######$$$$$$%%%%%%%%%&&&''''''&&&&&&&&&'''(((((((((&&&%%%&&&'''%%%&&&&&&'''''''''''''''((('''&&&%%%$$$#########%%%%%%&&&''''''&&&%%%%%%&&&&&&&&&''''''((((((((('''&&&%%%$$$$$$%%%&&&''''''''''''&&&&&&'''''''''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$&&&&&&%%%$$$$$$%%%%%%%%%$$$%%%&&&'''(((***++++++&&&&&&&&&''')))***,,,,,,'''&&&&&&&&&&&&'''(((((())))))))))))))))))))))))&&&&&&&&&&&&&&&&&&&&&&&&(((((())))))))))))((((((&&&&&&&&&'''((())))))***&&&'''((()))***+++,,,,,,&&&''')))***+++++++++***))))))))))))************))))))))))))))))))))))))(((((((((((())))))))))))''''''(((((())))))************))))))))))))******)))))))))))))))))))))))))))((('''&&&&&&'''((()))'''&&&%%%%%%&&&'''((()))(((((((((((((((((((((((()))(((&&&%%%%%%&&&((()))((('''&&&%%%%%%&&&'''(((''''''((())))))))))))))))))((((((((((((***,,,---)))((('''&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%'''((())))))******((((((((((((((('''''''''$$$$$$&&&'''((()))))))))&&&'''((('''&&&&&&'''(((&&&&&&&&&''''''''''''''''''((())))))(((&&&$$$###"""&&&(((((((((((()))((((((''''''''''''((((((''''''(((***++++++)))&&&(((((())))))******++++++&&&''''''((()))******+++((()))++++++)))((()))*********)))(((((((((((((((&&&&&&''''''''''''&&&&&&%%%%%%&&&'''((((((((('''((((((''''''&&&&&&&&&%%%{{{iii```RRRHHHBBB@@@???===<<<:::777666666555444222222111111222333333222000111111111111000000000000222111111000///......---000000///...------,,,,,,...---,,,+++***************)))(((((()))+++---...---,,,,,,+++***)))((((((***++++++,,,,,,++++++***))))))))))))))))))))))))************************(((((((((((())))))))))))))))))(((''''''''''''''''''((()))++++++******)))(((((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((((((((((((''''''&&&&&&&&&&&&''''''***)))'''%%%%%%%%%'''(((''''''''''''''''''''''''%%%%%%%%%&&&'''(((((()))(((((('''&&&&&&&&&&&&&&&&&&'''((())))))((('''&&&$$$%%%'''(((((((((''''''''''''&&&&&&&&&&&&''''''&&&''''''(((((('''&&&&&&(((((((((''''''&&&&&&&&& ###&&&(((*********))))))))))))(((((((((((((((''''''''''''((())))))))))))((('''''''''''''''))))))(((((('''''''''&&&###$$$$$$%%%&&&'''((((((***((('''(((++++++)))&&&######$$$%%%%%%&&&''''''&&&%%%%%%%%%%%%&&&''''''(((''''''''''''&&&&&&&&&(((((('''&&&%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&'''''')))***+++&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%&&&((()))+++,,,---***'''$$$%%%(((***)))'''))))))))))))))))))))))))&&&&&&&&&''''''''''''(((((((((''''''''''''((((((%%%%%%%%%&&&&&&&&&''''''&&&''''''((()))******+++***++++++,,,,,,++++++***,,,+++++++++***)))))))))+++++++++++++++***)))(((''''''''''''((((((((((((******))))))))))))******((((((((((((''''''''''''(((((())))))((('''&&&&&&))))))))))))))))))))))))))))))(((((('''''''''&&&%%%%%%&&&&&&'''((())))))))))))((((((''''''&&&&&&%%%%%%&&&&&&''''''(((((('''&&&&&&&&&'''((()))***++++++******))))))((((((%%%%%%&&&&&&''''''((((((&&&'''((())))))((('''&&&&&&''')))***+++***((('''&&&&&&''''''(((((())))))))))))((('''''''''''''''((((((''''''''''''&&&%%%&&&%%%$$$$$$%%%'''***+++************************(((((('''''''''&&&&&&&&&(((((((((((((((((((((((((((((((((((((((((((((((()))))))))))))))))))))))))))((('''&&&&&&'''((()))******)))(((((((((((((((((((((''''''''''''(((((('''''''''(((''''''&&&%%%%%%&&&)))***+++***)))(((''''''''''''''''''''''''{{{hhhXXXOOOKKKIIIGGG???<<<999777666555333222333222111222222222000...222111111111000000000000222111111000//////......000//////......---,,,,,,......---++++++******+++,,,++++++************+++,,,,,,++++++***)))))))))***++++++,,,,,,++++++***************************************************(((((((((((()))))))))*********)))((((((((((((((('''((()))***+++******)))(((((((((((((((''''''&&&''''''''''''''''''''''''''''''''''''((((((((((((''''''&&&&&&&&&&&&''''''***((('''%%%%%%%%%'''(((''''''''''''''''''''''''%%%%%%&&&''''''((())))))******)))(((((((((((((((%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%'''(((((((((''''''''''''&&&&&&&&&&&&''''''$$$%%%%%%&&&''''''&&&&&&'''''''''&&&&&&&&&%%%%%%$$$%%%'''(((((((((((('''((((((((((((((()))))))))''''''&&&&&&''''''((()))))))))(((''''''''''''''')))(((((((((''''''''''''%%%%%%%%%&&&''''''(((((((((&&&%%%%%%&&&&&&###!!!$$$$$$$$$%%%%%%&&&&&&&&&(((''''''''''''((())))))(((''''''''''''&&&&&&&&&(((''''''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&'''''''''''''''''''''''''''''''''&&&&&&%%%&&&&&&'''((()))&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%&&&''')))***+++++++++***(((((()))******)))))))))))))))))))))))))))&&&&&&&&&''''''''''''(((((((((''''''''''''((((((&&&&&&&&&&&&''''''''''''(((((())))))***+++++++++***++++++,,,,,,++++++***+++++++++***************)))******+++++++++******((((((((((((((((((((((((******))))))))))))******((((((((((((''''''''''''))))))))))))))))))(((''')))))))))))))))))))))))))))(((((((((''''''''''''&&&&&&''''''(((((())))))(((((((((((((((''''''''''''''''''''''''((((((((()))(((((((((((('''''''''))))))))))))))))))((((((((((((((()))))))))))))))'''((()))******)))((('''%%%&&&((()))))))))'''&&&'''''''''((((((((((((((())))))((('''''''''''''''%%%((()))(((%%%###%%%''')))((('''&&&%%%&&&''''''''''''''''''''''''''''''(((((('''''''''&&&&&&&&&(((((((((((((((((((((((((((((((((((((((((((((((()))))))))))))))))))))))))))((('''&&&&&&'''((()))))))))((('''''''''''''''((((((''''''''''''(((((((((((())))))(((((('''&&&&&&'''((())))))((('''&&&''''''''''''''''''''''''{{{gggZZZTTTQQQOOOFFFCCC???;;;999777555333666555333333333333111///222222222111111111000000111111111000000//////...000//////......---------///...---,,,,,,,,,,,,,,,******+++,,,,,,,,,++++++++++++++++++++++++++++++***++++++,,,,,,++++++***************************************************((((((((()))))))))******++++++***)))))))))))))))(((((()))************)))(((((((((((((((''''''&&&''''''''''''''''''''''''''''''''''''((((((((((((''''''&&&&&&&&&&&&'''''')))((('''%%%%%%&&&''''''''''''''''''''''''''''''&&&&&&''''''((()))))))))******))))))(((((())))))%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&''''''((('''''''''''''''&&&&&&&&&&&&''''''%%%%%%&&&&&&''''''((((((&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&''''''(((''''''&&&'''''''''(((((())))))***&&&&&&&&&&&&&&&''''''((())))))((('''''''''''''''(((((((((((('''''''''''''''''''''''''''''''''''''''&&&$$$$$$$$$### %%%%%%%%%%%%%%%%%%%%%%%%(((''''''''''''((())))))(((''''''''''''&&&&&&&&&'''''''''&&&&&&%%%%%%$$$%%%&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&'''(((((())))))+++++++++***((('''(((***))))))))))))))))))))))))&&&&&&&&&''''''''''''(((((((((''''''''''''((((((''''''''''''(((((((((((())))))******++++++,,,,,,***++++++,,,,,,++++++******************+++++++++(((((()))******++++++,,,*********))))))(((((('''***))))))(((((())))))***((((((((((((''''''''''''((()))***************)))))))))))))))))))))))))))(((((((((((('''''''''''''''''''''''''''((((((((('''''''''((((((((((((((())))))((((((((((((((('''************)))'''%%%$$$(((((((((((((((((()))))))))))))))))))))(((((((((((())))))******))))))((($$$%%%'''((((((((('''&&&(((((((((((((((''''''''')))((((((''''''''''''((("""'''***(((###!!!$$$((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&(((((((((((((((((((((((())))))))))))))))))))))))((((((((((((((((((((((((((((((''''''''''''(((((((((''''''&&&&&&&&&&&&'''((((((''''''''''''(((((()))))))))))))))((((((''''''''''''&&&&&&&&&&&&&&&((((((((((((((((((((((((vvvhhh```ZZZWWWRRRMMMHHHBBB???<<<999666888666444444555555444222333333222222222111111111111111111000000000//////000/////////......------//////...---------------%%%'''***,,,.../////////*********++++++,,,,,,,,,***++++++,,,,,,++++++***************************************************(((((()))))))))*********+++***))))))(((((())))))((()))))))))************(((((((((((((((''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''((((((((((((''''''&&&&&&&&&&&&''''''((('''&&&&&&&&&&&&'''''''''''''''''''''''''''''''''''''''(((((()))))))))(((((('''&&&&&&'''''''''((('''&&&%%%%%%&&&'''(((&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&''''''((((((((('''''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%&&&'''''''''&&&&&&''''''((()))******&&&%%%%%%%%%%%%&&&''''''))))))((('''''''''''''''((((((((((((((('''''''''))))))((((((((('''''''''''''''&&&&&&&&&%%%###"""%%%%%%%%%%%%%%%%%%%%%$$$&&&%%%%%%%%%%%%&&&''''''(((''''''''''''&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&%%%&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''(((***+++)))%%%###%%%(((((((((((((((((((((((((((&&&&&&&&&''''''''''''(((((((((''''''''''''(((((((((((((((((()))))))))))))))))))))******+++++++++***++++++,,,,,,++++++***)))))))))***+++++++++,,,)))))))))))))))***++++++,,,++++++***)))(((((('''))))))(((((((((((())))))(((((((((((('''''''''''''''((())))))************(((((((((((((((((((((((((((((((((((((((''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&''''''(((((())))))******))))))(((((('''''')))***++++++***(((%%%###&&&&&&''''''(((((())))))((((((''''''&&&&&&%%%%%%(((((())))))))))))((((((%%%&&&'''(((((((((''''''))))))((((((''''''&&&&&&)))(((''''''''''''((((((###&&&'''&&&$$$###$$$'''###$$$&&&'''((()))))))))((((((((((((((((((((((((''''''''''''''''''''''''(((((((((((((((((((((((())))))))))))))))))))))))(((((((((((((((((((((((((((((((((''''''((((((((((((''''''&&&&&&'''''''''((((((''''''''''''((((((((())))))))))))((('''''''''&&&&&&%%%&&&&&&'''((())))))))))))))))))))))))~~~sssiiiccc]]]XXXQQQJJJDDD@@@<<<:::777555333333444555555444333333333333222222222222111111111111000000000000///////////////.........//////...---------......&&&(((***---///000000000*********+++,,,,,,------***++++++,,,,,,++++++***************************************************))))))))))))************))))))(((''''''''''''((()))))))))))))))*********(((((((((((((((''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''((((((((((((''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''(((((((((((('''&&&&&&&&&&&&&&&''''''((((((&&&%%%%%%&&&((((((''''''''''''&&&&&&''''''''''''&&&&&&&&&&&&''''''))))))'''&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''((((((%%%&&&&&&'''((())))))***&&&%%%%%%%%%%%%&&&''''''))))))(((''''''''''''''''''''''''((((((((((((((()))))))))(((''''''&&&&&&%%%&&&''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%$$$&&&%%%%%%%%%%%%&&&''''''(((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''(((***+++)))%%%###%%%(((((((((((((((((((((((((((&&&&&&&&&''''''''''''(((((((((''''''''''''((((((((((((((()))))))))******((((((((()))))))))))))))***++++++,,,,,,++++++***)))))))))***+++++++++,,,+++***)))((((((((()))))),,,++++++***)))(((((('''))))))(((((((((((())))))((((((((((((''''''''''''&&&&&&'''((())))))))))))(((((((((((((((((((((((('''''''''(((((((((((((((&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&''''''(((((())))))******))))))(((((('''''''''(((***++++++***(((&&&&&&&&&''''''(((((())))))((((((''''''&&&&&&%%%%%%''''''''''''''''''''''''''''''(((((())))))))))))))))))((((((''''''&&&&&&((((((''''''''''''(((((('''$$$###$$$&&&'''&&&######$$$&&&'''((()))))))))((((((((((((((((((((((((&&&'''''''''''''''''''''(((((((((((((((((((((((())))))))))))))))))))))))(((((((((((((((((((((((('''((((((((((((((((((''')))((((((((((((((())))))((((((''''''''''''((((((''''''((((((''''''&&&%%%&&&&&&&&&&&&'''((()))***))))))))))))))))))))))))yyypppkkkddd[[[SSSLLLFFFBBB???999666444333444444444444444444444333333333222222111111111111111111111111///////////////////////////......---------......,,,,,,------......------***+++++++++,,,,,,------***++++++,,,,,,++++++***++++++++++++++++++++++++************************)))))))))*********++++++)))((((((''''''''''''''')))))))))((()))******+++(((((((((((((((''''''&&&((((((((((((((((((((((((''''''''''''((((((((((((''''''&&&&&&&&&&&&''''''&&&&&&&&&'''''''''''''''''''''''''''''''''''''''&&&''''''''''''''''''''''''''''''&&&''''''((()))&&&&&&&&&%%%%%%&&&&&&&&&(((((('''&&&&&&&&&''''''''''''&&&&&&&&&&&&'''''''''&&&$$$"""!!!!!!""""""%%%%%%%%%%%%&&&&&&&&&&&&***)))((('''''''''''''''&&&&&&&&&''''''(((((()))&&&&&&&&&&&&&&&''''''((())))))(((''''''''''''''''''''''''((((((((((((((((((((((((''''''&&&&&&&&&"""$$$&&&'''&&&&&&&&&(((%%%%%%%%%%%%%%%%%%%%%%%%(((''''''''''''((())))))(((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((((((%%%%%%%%%%%%%%%%%%%%%%%%(((((('''''''''(((((()))'''''''''(((((((((((((((''''''''''''''''''((((((+++++++++***((('''(((***))))))))))))))))))))))))&&&&&&&&&''''''''''''(((((((((''''''''''''(((((((((((((((((())))))))))))((((((((((((((((((((()))***++++++,,,,,,++++++******************+++++++++,,,+++)))(((''''''((((((*********))))))((((((''')))((((((''''''(((((()))((((((((((((''''''''''''&&&''''''(((((((((((('''))))))))))))))))))))))))'''''''''(((((((((((((((%%%%%%%%%%%%%%%%%%&&&&&&'''''''''((((((((((((((())))))((((((((((((((('''&&&'''(((***++++++******(((((((((((((((((()))))))))))))))))))))((((((((('''&&&&&&%%%%%%&&&&&&'''(((((((((((()))))))))***((((((((((((((('''''''''(((''''''''''''(((((()))((($$$!!!###(((***'''"""(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''(((((((((((((((((((((((())))))))))))))))))))))))((((((((((((((((((((((((''''''(((((((((((('''''')))(((((((((((()))******((((((''''''''''''(((((('''''''''''''''&&&&&&%%%%%%&&&&&&'''(((((())))))((((((((((((((((((((((((zzztttiii___WWWQQQKKKHHHAAA>>>:::888777777666555444444444444333333333333111111111111111111111111/////////////////////000...---------------......///......------------...++++++,,,,,,,,,,,,,,,,,,***++++++,,,,,,++++++***++++++++++++++++++++++++************************))))))*********+++++++++***))))))((('''(((((((((***)))((((((((()))++++++(((((((((((((((''''''&&&))))))))))))))))))))))))''''''''''''((((((((((((''''''&&&&&&&&&&&&''''''%%%&&&&&&''''''(((''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&'''(((&&&''''''((((((''''''&&&)))((('''&&&%%%&&&&&&'''''''''&&&&&&&&&&&&''''''&&&%%%###""""""###%%%&&&%%%%%%&&&&&&&&&'''''''''((('''&&&%%%%%%%%%&&&'''''''''''''''''''''''''''''''''&&&&&&''''''((()))))))))((('''''''''''''''''''''''''''((((((((()))'''''''''&&&&&&&&&&&&&&&###%%%''''''%%%$$$%%%'''$$$$$$$$$%%%%%%&&&&&&&&&(((''''''''''''((())))))(((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((((((((((((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''((()))''''''((((((((()))))))))'''''''''(((((()))))))))+++***(((((()))******)))))))))))))))))))))))))))&&&&&&&&&''''''''''''(((((((((''''''''''''(((((('''''''''((((((((())))))))))))))))))))))))))))))***++++++,,,,,,++++++***+++++++++***************+++***(((''''''((()))***((((((((((((((((((((((((((((((''''''''''''((((((((((((((((((''''''''''''(((((()))))))))(((((('''))))))))))))))))))))))))''''''''''''((((((((()))&&&&&&&&&''''''((((((((((((((((((((((((''''''''''''''''''''''''((((((((('''(((((()))******++++++))))))))))))))))))((((((((((((((()))))))))))))))((('''&&&&&&&&&&&&'''((('''''''''''''''((())))))'''''''''((((((((((((((('''''''''''''''((())))))'''%%%###%%%((()))(((%%%)))((('''&&&%%%&&&''''''''''''''''''''''''''''''&&&&&&&&&'''''''''(((((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))&&&'''((())))))((('''&&&'''''''''''''''((())))))((((((''''''''''''((((((((((((((((((((('''&&&&&&&&&''''''((('''&&&%%%$$$''''''''''''''''''''''''uuujjjaaaZZZUUURRRKKKGGGBBB>>>===;;;:::999555555444444444333333333111111111111111111222222////////////000000000000------,,,,,,,,,------...------,,,,,,---...000111,,,,,,,,,,,,,,,,,,,,,,,,+++++++++,,,,,,+++++++++++++++++++++++++++++++++************************)))************++++++++++++******)))))))))))))))***)))((((((((()))+++,,,(((((((((((((((''''''&&&((((((((((((((((((((((((''''''''''''((((((((()))'''''''''&&&&&&'''''''''%%%%%%&&&'''((((((((('''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%###"""""""""######$$$%%%((()))***++++++***)))((()))((('''&&&%%%&&&&&&''''''''''''&&&&&&'''''''''&&&%%%$$$$$$&&&(((***,,,&&&&&&&&&''''''((((((((( """$$$&&&''''''''''''''''''&&&&&&&&&(((''''''''''''((())))))))))))((('''''''''''''''&&&'''''''''(((((())))))&&&&&&&&&&&&&&&&&&&&&&&&&&&(((***)))&&&$$$%%%'''######$$$%%%%%%&&&''''''&&&%%%%%%%%%%%%&&&''''''(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((((((((()))%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&'''((()))'''((((((((())))))******''''''(((((()))******+++***'''$$$%%%(((***)))'''))))))))))))))))))))))))&&&&&&&&&'''''''''((((((((((((''''''''''''((((((''''''''''''((((((((((((++++++******************+++++++++,,,,,,+++++++++,,,+++++++++******)))))))))((('''&&&''')))+++,,,''''''''''''((((((((((((((((((''''''''''''(((((()))(((((((((''''''''''''***************)))((('''))))))))))))))))))))))))&&&'''''''''(((((())))))&&&''''''((()))***++++++))))))(((((('''''''''&&&%%%&&&&&&&&&''''''(((((()))))))))((()))***++++++++++++******))))))((((((%%%&&&&&&&&&''''''(((((()))((('''&&&&&&'''((()))'''&&&&&&&&&&&&'''((((((&&&'''''''''(((((())))))'''''''''''''''((()))***%%%&&&''''''''''''((((((&&&%%%$$$$$$%%%'''***,,,************************&&&&&&&&&'''''''''((((((((((((((((((((((((((((((((((((((((((((((((((((((************************&&&'''((())))))((('''&&&&&&&&&&&&&&&&&&'''((()))((((((''''''''''''(((((()))))))))))))))((((((''''''(((((((((&&&$$$!!!''''''''''''''''''''''''xxxmmmddd]]]XXXSSSQQQMMMIIIEEEAAA???===:::777333333555666555333333222111222222222000...000000000000////////////,,,,,,------.../////////......////////////.........---,,,,,,++++++,,,,,,)))***+++,,,---,,,++++++------,,,,,,,,,,,,++++++++++++************++++++)))))))))***+++++++++,,,+++*********))))))(((((())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))((((((((('''&&&&&&&&&%%%''''''&&&&&&&&&&&&''''''(((((('''''''''&&&&&&&&&'''''''''''''''''''''''')))))))))((((((''''''&&&'''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&''''''((('''''''''(((''''''&&&&&&%%%$$$$$$)))))))))(((''''''&&&&&&%%%%%%&&&&&&'''(((((((((%%%%%%&&&''''''((())))))''''''''''''&&&%%%$$$$$$%%%%%%%%%&&&&&&&&&''''''(((((('''&&&&&&&&&''''''(((&&&%%%%%%&&&'''&&&%%%)))&&&%%%&&&((()))'''%%%''''''''''''''''''''''''''''''&&&%%%%%%%%%%%%&&&)))((('''&&&%%%&&&&&&'''(((((((((((((((((((((((((((((('''''''''&&&&&&&&&+++***)))((('''&&&%%%%%%$$$%%%%%%&&&'''((())))))(((((((((((((((((((((((())))))))))))(((((((((((((((((((((((((((((((((((()))((((((((()))((('''%%%((('''&&&&&&&&&&&&'''((()))((('''''')))******)))(((((()))***************(((((()))*********************))))))***+++,,,,,,(((((()))))))))'''&&&%%%(((((())))))))))))((((((''''''''''''((((((((((((((((((((((((((((((((((((***)))'''&&&&&&'''((()))---,,,***)))))))))***+++))))))))))))))))))))))))(((((((((((((((((((((((())))))(((''''''''''''''''''((((((((())))))******((('''%%%$$$%%%&&&(((***(((((())))))******++++++'''&&&&&&&&&&&&'''(((((())))))(((''''''''''''((()))***************))))))))))))(((((((((((())))))+++*********))))))(((((())))))((((((''''''''''''******))))))((((((((('''&&&%%%%%%%%%%%%&&&''''''))))))((((((''''''&&&&&&&&&'''''''''''''''&&&&&&+++***)))''''''(((((()))&&&(((***+++)))(((((((((222///+++(((&&&'''(((***+++***)))(((((()))***+++))))))(((((((((((())))))'''''''''''''''((())))))''''''(((((())))))******((((((((((((((('''''''''zzzooohhhddd```]]]XXXTTTPPPKKKEEEAAA>>>:::666555777777666444555444333333444444222111111111111000000000///////////////////////////...,,,,,,------------,,,,,,...---,,,,,,++++++,,,,,,+++,,,---.........------------,,,,,,,,,,,,++++++,,,,,,++++++++++++,,,,,,***************+++++++++************)))))))))((())))))))))))))))))))))))))))))))))))))))))))))))((((((((((((((((((((((((''''''''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''(((((('''''''''&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%%%%&&&%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''(((((((((((((((((('''''''''""""""###$$$$$$%%%&&&&&&%%%%%%&&&'''''''''&&&&&&&&&&&&&&&'''''''''(((((('''&&&&&&&&&&&&&&&'''''')))'''&&&&&&'''((('''&&&(((&&&%%%&&&((()))'''%%%''''''''''''''''''''''''((('''&&&&&&%%%%%%&&&&&&)))((('''&&&%%%&&&&&&'''((((((((((((((((((((((((&&&&&&&&&%%%%%%%%%$$$$$$%%%&&&&&&&&&''''''((((((''''''''''''''''''(((((())))))))))))))))))))))))))))))))))))(((((((((((((((((((((((((((((((((((((((''''''''')))((('''%%%((('''&&&%%%%%%&&&'''((()))((('''''')))******)))(((((()))***************(((((()))*********************)))))))))******+++'''(((((())))))((('''&&&(((((())))))))))))((((((''''''((((((((()))))))))((((((((((((((((((((((((+++***(((''''''((()))***))))))((('''''''''''''''((((((((((((((((((((((((((((((((((((((((((((((((******)))(((((((((((((((((((((((('''&&&&&&&&&%%%((('''&&&%%%&&&''')))***((((((((((((((()))))))))'''&&&&&&&&&&&&'''((((((''''''&&&&&&&&&%%%%%%%%%''''''((((((((((((''''''((((((''''''''''''((((((******)))))))))((((((((()))))))))((((((((('''''')))))))))((((((''''''''''''''''''''''''(((((()))(((((((((((((((''''''''''''(((((()))((((((''''''((('''''''''(((***,,,---'''(((******((((((((()))---,,,)))((('''(((***+++)))((('''&&&&&&'''((()))))))))(((((((((((())))))'''''''''''''''((())))))))))))))))))************(((((()))))))))))))))))){{{uuussssssmmmeeeaaa^^^YYYRRRLLLGGGBBB===:::::::::888555444222111222333333222000222222222111111111000000222111111000//////......,,,,,,------------,,,,,,...---,,,,,,++++++,,,,,,+++,,,---.........------------,,,,,,,,,,,,++++++---,,,,,,,,,,,,,,,,,,---+++++++++***************************))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))((((((((((((((((((((((((&&&&&&&&&&&&''''''''''''''''''&&&&&&&&&&&&'''''''''''''''''''''&&&&&&&&&''''''''''''''''''''''''$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$######$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&&&&&&&%%%$$$######$$$$$$%%%&&&&&&'''(((((($$$%%%%%%&&&''''''((((((******))))))(((''''''&&&%%%%%%%%%&&&''''''(((((($$$$$$%%%''''''((((((((('''''''''((((((((())))))%%%%%%%%%%%%%%%&&&'''((()))(((&&&&&&((()))((((((((('''&&&&&&'''((('''&&&''''''''''''''''''''''''((('''&&&&&&%%%&&&&&&&&&(((((('''&&&&&&&&&&&&'''((((((((((((((((((((((((&&&&&&&&&%%%%%%%%%%%%$$$###$$$$$$%%%&&&'''(((((()))))))))(((((('''''''''************************(((((((((((())))))))))))(((((((((((((((((((((((('''&&&%%%'''((()))'''&&&'''&&&&&&%%%%%%&&&&&&''')))((('''''')))******)))(((((()))***************(((((()))************************)))))))))))))))&&&'''(((((()))(((((('''(((((())))))))))))((((((((((((((()))))))))******((((((((((((((((((((((((+++***)))(((((()))***+++'''''''''(((''''''&&&&&&(((((((((((((((((((((((((((((((((((((((((((((((((((((('''&&&&&&&&&&&&&&&'''''''''''''''''''''''')))((('''''''''(((***+++((((((((((((''''''''''''''''''&&&&&&''''''((()))&&&&&&'''((('''&&&%%%$$$''''''(((((((((((('''''')))(((((((((((((((((()))(((((((((((((((''''''''')))))))))(((((((((((((((((((((((('''''''''''''''))))))(((((())))))***+++'''''''''((((((((((((((((((((()))))))))))))))((('''''''''''')))***+++,,,((()))))))))'''''')))***(((((((((((()))***+++,,,((((((''''''''''''(((((())))))(((((((((((())))))'''''''''''''''((())))))++++++++++++************(((((())))))******++++++~~~qqqiiigggfffaaa\\\TTTOOOGGGBBB@@@>>>:::666555444222222333444333222333333333222222222111111000000000/////////............////////////.........---,,,,,,++++++,,,,,,******+++++++++,,,,,,,,,------,,,,,,,,,+++++++++,,,,,,++++++++++++,,,,,,,,,+++++++++***)))))))))*********)))))))))))))))))))))))))))))))))))))))((((((((((((((((((((((((((((((((((((((((((((((((%%%%%%%%%&&&&&&'''''''''''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%%%%&&&&&&'''''''''$$$$$$$$$$$$$$$$$$%%%&&&%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''(((((((((((('''&&&%%%$$$%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&'''''')))((((((((('''''''''&&&&&&'''''''''((((((((()))%%%%%%&&&'''''''''''''''&&&'''''''''(((((((((((($$$$$$$$$$$$%%%'''((((((((('''%%%&&&''')))((((((''''''&&&''''''''''''&&&''''''''''''''''''''''''(((((('''&&&&&&&&&&&&&&&''''''''''''&&&&&&''''''(((((((((((((((((((((((((((((((((((('''''''''''''''&&&&&&&&&&&&&&&&&&&&&)))))))))))))))((((((((())))))))))))))))))))))))(((((((((((())))))))))))((((((((((((((((((((((((%%%%%%%%%&&&((()))(((&&&&&&&&&%%%%%%%%%%%%&&&&&&)))((('''''')))******)))(((((()))***************(((((()))***************)))*********))))))((((((&&&&&&'''(((((()))))))))(((((())))))))))))(((((())))))))))))************(((((((((((((((((((((((())))))((((((((()))***+++((()))***++++++***)))((((((((((((((((((((((((((((((((((((((((((((((((((())))))((('''''''''''''''%%%&&&''')))***,,,------))))))(((((())))))***+++)))))))))((((((''''''''''''''''''''''''(((((()))'''(((***+++***)))'''%%%((())))))************)))******))))))))))))******''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&))))))(((((())))))***+++&&&&&&''''''(((((())))))''''''((()))))))))(((((()))((((((''''''''''''''')))))))))(((&&&''')))+++&&&&&&'''))))))***************))))))))))))******))))))(((((((((((())))))'''''''''''''''((())))))+++++++++******)))))))))''''''((()))******++++++sssooommmkkkgggaaa[[[TTTMMMIIIDDD>>>999:::888666555666666666555333333333333222222222222---------....../////////......////////////.........---,,,,,,++++++,,,,,,*********+++++++++,,,,,,------,,,,,,,,,+++++++++++++++************++++++,,,+++++++++***)))))))))))))))))))))))))))******))))))))))))))))))))))))((((((((((((((((((((((((''''''''''''''''''''''''$$$%%%%%%%%%&&&&&&''''''''''''&&&&&&&&&&&&''''''&&&'''''''''''''''''''''''''''''''''''''''''''''%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%&&&''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''(((((((((((('''&&&%%%$$$''''''&&&&&&&&&%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&'''''''''$$$$$$$$$$$$$$$%%%%%%%%%'''(((((((((''''''&&&%%%%%%%%%&&&&&&&&&'''''''''$$$$$$$$$%%%&&&'''((()))'''%%%$$$%%%&&&(((((('''&&&'''''''''&&&&&&''''''''''''''''''''''''''''''(((((('''&&&&&&&&&&&&'''&&&&&&''''''''''''''''''(((((((((((((((((((((((())))))((((((((('''''''''(((((((((''''''''''''''''''''''''((()))******+++(((((((((((((((((((((((('''((((((((()))))))))***))))))))))))))))))))))))&&&%%%%%%&&&((()))(((&&&&&&&&&&&&&&&&&&&&&&&&&&&)))((('''''')))******)))(((((()))***************(((((()))***************))))))************)))(((''''''''''''(((((())))))(((((())))))))))))(((((())))))))))))************((((((((((((((((((((((((''''''''''''(((((()))))))))***,,,------,,,+++***''''''''''''''''''''''''((((((((((((((((((((((((---,,,++++++***+++++++++&&&&&&''')))***,,,---...)))))))))))))))***++++++*********))))))((((((((((((''''''''''''((())))))((()))***++++++)))'''&&&(((((()))***************(((((((((''''''(((((((((&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''((((((''''''(((((()))***&&&&&&''''''(((((())))))%%%&&&''''''((((((((('''&&&&&&&&&&&&&&&%%%%%%%%%)))))))))(((&&&''')))+++''''''))))))***)))(((((())))))************))))))))))))(((((((((((())))))'''''''''''''''((())))))*********))))))(((((('''&&&&&&''''''((()))******|||wwwqqqmmmjjjeee^^^YYYTTTNNNFFF@@@;;;888555333333333333222333333333222222222111111,,,,,,------...//////000,,,,,,------------,,,,,,...---,,,,,,++++++,,,,,,------,,,,,,,,,---...///------,,,,,,,,,,,,+++++++++******))))))******++++++++++++***************))))))))))))************))))))))))))))))))))))))))))))))))))))))))))))))''''''''''''''''''''''''%%%%%%%%%%%%&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&&&&'''''''''''''''''''''''''''''''''''''''$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&'''(((((($$$%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&%%%$$$######(((((('''&&&%%%%%%$$$$$$((((((''''''&&&%%%%%%$$$###$$$$$$%%%&&&&&&''''''%%%%%%%%%%%%&&&&&&&&&&&&)))))))))((((((&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&'''((()))&&&$$$###$$$&&&(((((('''&&&'''((('''&&&&&&'''((('''''''''''''''''''''''')))(((''''''&&&&&&''''''%%%&&&''''''((('''''''''(((((((((((((((((((((((('''''''''&&&&&&&&&%%%%%%&&&&&&''''''((()))******%%%&&&&&&''')))******+++''''''''''''''''''''''''''''''(((((())))))******))))))))))))))))))))))))((('''&&&((()))***((('''&&&''''''((((((''''''&&&)))((('''''')))******)))(((((()))***************(((((()))***************((()))***,,,,,,++++++***(((''''''''''''(((((()))(((((())))))))))))((((((((((((((()))))))))******((((((((((((((((((((((((&&&&&&''''''(((((())))))))))))******++++++******''''''''''''''''''''''''((((((((((((((((((((((((***))))))(((((((((((((((((((((((((((((((((((((((((()))))))))************************))))))))))))((((((''''''(((((()))***''''''((()))((('''&&&%%%%%%&&&'''(((((())))))(((&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&''''''''''''''''''''''''(((((((((''''''&&&&&&''''''((()))'''''''''((((((((((((((($$$%%%&&&'''((((((((('''"""###%%%&&&''''''((((((((()))))))))'''''')))***))))))*********)))((((((''''''((((((((((((''''''))))))(((((((((((())))))'''''''''''''''((()))))))))))))))(((((((((((((((&&&&&&''''''(((((()))))){{{tttmmmjjjfffbbb___XXXOOOIII===:::666444333333222111222222222222111111111111............////////////,,,,,,------------,,,,,,...---,,,,,,++++++,,,,,,------,,,,,,,,,---...///------,,,,,,,,,,,,++++++,,,++++++******++++++,,,***************+++++++++((()))))))))************))))))))))))))))))))))))))))))))))))))))))))))))''''''''''''''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&&&&''''''&&&&&&&&&'''''''''((((((''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&'''((($$$$$$%%%%%%&&&''''''(((''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%%%%&&&%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&%%%((('''''''''''''''''''''%%%%%%&&&&&&&&&&&&&&&&&&(((((((((((((((((((((((('''((((((((((((((('''&&&&&&&&&&&&&&&''''''''''''(((((('''''''''(((((()))&&&%%%$$$%%%'''))))))(((%%%''')))(((&&&%%%&&&((('''''''''''''''''''''''')))(((((('''''''''''''''%%%%%%'''(((((((((''''''((((((((((((((((((((((((''''''''''''&&&&&&&&&&&&&&&&&&&&&''''''(((((((((&&&&&&'''''''''((((((((((((((((((((((((((((((((('''''''''((()))*********))))))))))))))))))))))))***)))((()))******((('''''''''((())))))((('''''')))((('''''')))******)))(((((()))***************(((((()))***************''')))+++---......---,,,))))))''''''&&&'''(((((((((((())))))))))))((((((''''''((((((((()))))))))((((((((((((((((((((((((&&&&&&'''((()))*********))))))(((((()))******+++''''''''''''''''''''''''(((((((((((((((((((((((((((''''''&&&&&&&&&&&&&&&***)))))))))(((''''''''''''((()))))))))***))))))((((((((()))))))))))))))((((((((((((((())))))***(((((((((((('''''''''&&&%%%&&&'''((())))))))))))&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&''''''(((((((((((('''''''''((((((((())))))'''''''''(((((()))))))))''''''&&&&&&''''''((()))((((((((((((((('''''''''%%%&&&'''(((((()))))))))###$$$&&&((())))))))))))'''(((******((((((((()))************************&&&'''((())))))((('''&&&))))))(((((((((((())))))'''''''''''''''((())))))))))))))))))))))))******(((((((((((((((((())))))|||mmmkkkiiihhheee___VVVOOOFFFBBB>>>;;;:::999888777222222222111111111000000111111000000//////.........//////////////////......---,,,,,,++++++,,,,,,,,,+++***)))***+++,,,------------,,,,,,,,,++++++---,,,,,,++++++,,,,,,---))))))******+++++++++,,,(((((())))))*********+++))))))))))))))))))))))))))))))))))))))))))))))))''''''''''''''''''''''''&&&&&&&&&%%%%%%$$$$$$$$$'''''''''&&&&&&'''''''''&&&&&&&&&'''''''''(((((('''''''''''''''''''''''')))))))))(((((('''''''''############$$$%%%&&&'''$$$$$$%%%%%%&&&'''((((((((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&''''''((('''''''''$$$%%%%%%&&&&&&''''''(((&&&&&&''''''((()))))))))((((((((('''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&'''((())))))))))))''''''''''''((((((((()))***))))))(((((((((((()))'''&&&%%%&&&(((******)))%%%''')))(((&&&%%%&&&)))''''''''''''''''''''''''))))))((('''''''''''''''$$$%%%'''(((((((((''''''((((((((((((((((((((((((***)))))))))(((((((((((())))))((('''%%%$$$######'''''''''''''''&&&&&&&&&))))))))))))))))))))))))&&&''''''((()))******+++))))))))))))))))))))))))+++***)))***+++***(((&&&'''((()))******)))(((''')))((('''''')))******)))(((((()))***************(((((()))***************'''(((+++---//////......***)))((('''&&&&&&'''((((((((())))))))))))((((((''''''''''''(((((((((((((((((((((((((((((((((((('''''')))***+++++++++++++++***)))))))))***,,,---''''''''''''''''''''''''((((((((((((((((((((((((---,,,,,,+++++++++++++++))))))******+++++++++,,,''''''((()))))))))))))))&&&'''''''''(((((())))))((((((((((((((()))******++++++***)))((()))))))))'''((()))***++++++++++++))))))(((((((((((())))))'''''''''((((((((())))))((()))))))))******++++++'''((((((((())))))******'''''''''''''''((())))))))))))(((((('''''''''&&&&&&'''((()))************((()))*********)))'''&&&&&&(((***+++)))(((((((((***)))))))))***+++,,,---((()))***++++++***)))((())))))(((((((((((())))))'''''''''''''''((())))))))))))******+++++++++,,,************))))))))))))~~~pppfffeeefffccc``````OOOJJJCCC>>>;;;:::888666222222333333333333222111000000111111111111000000000/////////............,,,,,,,,,,,,,,,,,,,,,,,,---.........---,,,,,,+++,,,,,,,,,,,,,,,,,,,,,,,,,,,+++)))((((((((()))***------...,,,+++***+++---))))))))))))))))))))))))******+++++++++******)))((()))*********((('''&&&%%%&&&'''&&&%%%%%%&&&'''%%%&&&''''''&&&&&&((()))(((((((((((((((((((((((()))'''&&&'''((()))((('''(((((())))))))))))((((((######$$$$$$%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$(((((('''''''''&&&&&&&&&(((''''''&&&&&&&&&'''''')))((('''&&&%%%$$$######(((((((((''''''&&&&&&&&&&&&%%%%%%%%%%%%&&&''''''''''''''''''''''''''''''))))))((('''&&&&&&%%%%%%%%%%%%%%%&&&&&&'''''''''(((((((((((((((((((((((((((''''''''''''&&&&&&&&&(((''''''''''''&&&&&&&&&"""###%%%'''(((((((((''''''''''''(((((((((((()))'''''''''''''''''''''''''''((()))))))))(((&&&%%%$$$%%%%%%&&&'''(((((())))))(((((('''''''''((((((&&&'''((('''%%%$$$%%%&&&'''((((((((())))))******))))))(((((('''''''''&&&))))))(((((('''''''''&&&))))))******+++++++++,,,((((((((()))(((''''''&&&))))))))))))))))))))))))((((((((((((((((((((((((%%%''''''''''''''')))+++(((((())))))*********++++++,,,---------+++***)))&&&)))'''"""'''000///%%%******))))))))))))******,,,***((('''&&&(((***,,,))))))(((((('''''''''&&&(((((((((((()))+++,,,---'''&&&&&&''''''(((******))))))))))))))))))))))))'''''''''''''''''''''''''''((((((((((((((('''&&&(((((((((((())))))))))))+++++++++***)))(((((('''))))))(((((('''''''''&&&)))(((&&&%%%%%%&&&((()))%%%&&&&&&&&&''''''(((((()))))))))))))))(((''''''))))))(((((((((***+++,,,)))))))))))))))(((''''''))))))))))))))))))))))))+++******)))(((''''''&&&(((((((((((((((((((((((("""$$$&&&(((************'''''''''(((((((((((()))''''''''''''((((((((())))))))))))))))))))))))))))))))))))))))))(((''''''(((((((((((())))))))))))''''''(((***++++++(((%%%###$$$$$$%%%&&&&&&&&&%%%&&&&&&&&&&&&''''''(((((((((((()))***************|||nnniiihhheeecccdddYYYTTTLLLDDD===999777666666666555444333222111000222222222111111000///...000000/////////.........,,,,,,,,,,,,,,,,,,,,,,,,---.........------,,,+++,,,,,,,,,,,,,,,,,,,,,,,,---,,,++++++******++++++*********)))((('''(((***************************(((((()))***************((()))******)))((('''&&&%%%'''((('''&&&%%%&&&(((%%%&&&((('''&&&&&&((()))(((((((((((((((((((((((()))'''&&&'''((()))((('''''''''((((((((((((''''''$$$$$$$$$%%%&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&&&&%%%%%%(((((('''''''''&&&&&&&&&(((''''''&&&&&&&&&'''''''''&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%$$$$$$#########(((''''''''''''((())))))(((((((((((((((((((((((()))(((((('''&&&&&&%%%%%%&&&&&&&&&''''''((((((((((((((((((((((((((((((((((((''''''''''''&&&&&&&&&&&&&&&&&&'''''''''((((((###$$$%%%'''''''''&&&&&&&&&&&&'''''''''(((((((((''''''''''''''''''''''''&&&&&&''''''&&&%%%%%%$$$*********+++,,,,,,,,,---((((((''''''''''''((((((&&&(((((('''%%%$$$%%%&&&'''''''''((((((((()))))))))((((((((('''''''''''')))(((((((((''''''''''''''''''((((((((()))))))))((((((((((((((('''''''''(((((((((((((((((((((((((((((((((((((((((((((((()))******(((&&&&&&'''((((((((()))))))))*********)))))))))))))))(((((('''))),,,***&&&,,,555444,,,******))))))))))))******+++)))''''''((()))************)))))))))(((((((((&&&&&&&&&''''''((())))))))))))(((((((((((())))))************************&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((('''''''''(((((((((((())))))))))))++++++******)))((((((''')))))))))((((((((('''''')))(((&&&%%%%%%&&&((()))&&&&&&'''''''''((((((((()))))))))))))))(((''''''***)))((((((((()))***+++)))))))))))))))(((''''''((((((((((((((((((((((((******))))))(((''''''&&&((((((((((((((((((((((((%%%&&&((()))***))))))(((%%%%%%%%%&&&&&&&&&&&&''''''''''''((((((((()))))))))))))))))))))))))))))))))))))))))))))(((''''''(((((((((((())))))))))))(((''''''(((******(((&&&%%%&&&&&&'''((((((''''''''''''''''''''''''(((((((((((()))************)))|||rrrmmmiiiggggggddd___WWWLLLBBB:::777666888888777666555444444333444444333222000...------000000000/////////......,,,,,,,,,,,,,,,,,,,,,,,,---............---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------......------,,,+++))))))***((('''&&&''')))************************''''''((()))*********)))((())))))))))))((((((''''''((()))((('''&&&''')))%%%'''(((((('''&&&''')))(((((((((((((((((((((((()))'''&&&'''((()))((('''&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&''''''((((((''''''''''''''''''''''''((((((''''''''''''&&&&&&'''''''''''''''&&&&&&&&&''''''&&&&&&&&&''''''(((%%%%%%%%%&&&&&&''''''''''''''''''&&&&&&&&&&&&&&&(((''''''''''''((())))))((((((((((((((((((((((((((((((((('''&&&&&&%%%%%%'''''''''((((((((((((((((((((((((((((((((((((((((((''''''''''''&&&&&&&&&$$$$$$%%%&&&'''((()))***$$$$$$%%%&&&&&&&&&%%%$$$%%%&&&&&&&&&''''''''''''((((((((((((((((((((((((''''''&&&%%%%%%%%%%%%&&&(((((())))))))))))))))))((((((''''''''''''((((((((())))))(((&&&$$$%%%&&&&&&&&&&&&''''''''''''(((((((((((((((''''''''''''((((((((((((''''''''''''''''''(((((((((((())))))))))))((('''''''''''''''''''''''''''''''''''''''((((((((((((((((((((((((***++++++)))'''&&&''')))(((((())))))))))))******)))((((((''''''''''''(((***---,,,)))...666666000++++++************++++++---+++)))***,,,...,,,***++++++************))))))&&&&&&'''(((((('''''''''+++***))))))(((((())))))************************&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&'''((((((((('''(((((((((((())))))))))))+++******))))))(((((('''***)))))))))))))))(((((()))((('''&&&&&&'''((()))''''''(((((((((((()))))))))))))))))))))(((((('''******)))((((((((())))))(((((()))))))))(((''''''''''''''''''''''''''''''***))))))(((((('''''''''(((((((((((((((((((((((()))))))))******)))((((((%%%%%%%%%&&&&&&&&&&&&'''''''''((((((((())))))))))))))))))))))))))))))))))))))))))))))))(((''''''(((((((((((()))))))))))))))'''&&&&&&'''((((((''''''(((((()))))))))))))))(((((((((((((((((((((((('''((())))))******))))))wwwpppkkkhhhgggeee___VVVJJJAAA<<<:::888888888888999999999999555444333222000//////...000000000////////////...------------------------------............---------------------------------.../////////...,,,++++++,,,,,,+++))))))***+++************************))))))************))))))((())))))))))))(((((((((''')))***)))((('''((()))&&&''')))((('''&&&''')))(((((((((((((((((((((((()))'''&&&'''((()))((('''&&&''''''((((((''''''&&&&&&&&&&&&'''''''''((((((((((((((((((((((((((((((''''''''''''&&&&&&&&&&&&'''''''''''''''''''''''''''&&&&&&&&&&&&'''((((((%%%%%%%%%&&&&&&&&&''''''((((((((((((''''''''''''&&&%%%%%%%%%%%%&&&''''''(((((((((((((((((((((((((((((('''''''''&&&&&&&&&''''''''''''''''''(((((((((((((((((((((((((((((((((''''''''''''&&&&&&&&&%%%%%%&&&&&&'''(((((()))%%%%%%&&&&&&&&&%%%###"""%%%%%%%%%&&&&&&&&&''''''))))))))))))))))))))))))))))))'''&&&&&&'''((()))&&&&&&%%%%%%%%%%%%%%%%%%(((''''''''''''(((((())))))******(((&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((('''''''''((((((((((((((('''''''''))))))*********************)))((('''&&&''''''(((''''''''''''''''''''''''((((((((((((((((((((((((''')))))))))((()))+++---(((((())))))))))))))))))******(((''''''((()))***)))+++***(((+++111111---++++++************++++++000...---///222333///+++************************((()))*********)))((('''))))))(((((((((((())))))((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&(((((()))))))))(((((((((((())))))))))))******))))))((((((((((((************))))))))))))((((((''''''''''''((((((((((((((()))))))))))))))(((((())))))))))))((((((******))))))(((((((((((('''(((((((((((((((''''''''''''''''''''''''''''''))))))((((((((('''''''''(((((((((((((((((((((((())))))************))))))'''''''''(((((((((((()))'''(((((((((((())))))))))))))))))))))))))))))))))))))))))))))))(((''''''(((((((((((())))))))))))***'''%%%$$$%%%'''((('''((())))))******)))))))))))))))))))))(((((((((((('''(((((()))))))))))))))~~~ssslllhhhgggddd^^^VVVMMMFFFCCC============<<<;;;:::999555555333222111111222222111000000000////////////------------------------------...//////......---------------------------,,,---.........---+++***,,,------,,,******+++---************************---------,,,+++***)))((()))(((((((((((()))))))))((()))***)))(((((()))***'''((())))))'''&&&''')))(((((((((((((((((((((((()))'''&&&'''((()))((('''((((((((())))))(((((((((&&&&&&&&&'''''''''''''''((((((((((((((((((((((((%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''''''''''''''&&&&&&&&&&&&&&&'''((((((''''''&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((((((((((((((((((''''''''''''&&&&&&&&&''''''''''''''''''''''''%%%&&&&&&'''&&&%%%###"""%%%%%%%%%&&&&&&&&&'''''')))))))))))))))))))))))))))((('''&&&&&&''')))))))))((((((((((((((((((((('''''''''''''''((()))))))))******)))'''&&&&&&'''&&&&&&&&&&&&&&&%%%%%%%%%'''''''''((((((((((((((('''''''''(((((((((((((((******))))))))))))))))))))))))((('''''''''''''''''''''''''''''''''''''''((((((((((((((((((((((((''')))))))))((()))+++---))))))((((((((((((((((((***)))(((''''''((()))***)))***)))'''(((******(((+++******************+++///......000222222///,,,))))))))))))))))))))))))******************))))))((('''''''''(((((()))***''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&'''((()))*********(((((((((((()))))))))))))))))))))((((((((((((((())))))))))))************(((((((((''''''((((((((()))))))))))))))((((((((((((((())))))))))))(((((())))))))))))((((((''''''''''''((((((((((((''''''''''''''''''''''''''''''((((((((((((''''''''''''((((((((((((((((((((((((((((((((()))******++++++'''''''''(((((((((((()))(((((((((((()))))))))***(((((((((((((((((((((((()))))))))))))))(((''''''(((((((((((())))))))))))***'''$$$$$$%%%'''(((((((((((()))))))))((((((''')))))))))))))))(((((((((''''''((())))))))))))))){{{ooommmiiieeeaaa[[[UUUPPPJJJKKKJJJIIIEEE@@@;;;888777666555333333333444555111111000000000/////////------------------------------...////////////...------------------------,,,,,,------,,,,,,+++***+++,,,,,,+++)))(((***+++++++++++++++++++++++++++......------,,,+++)))))))))(((((((((((())))))***''')))***)))((('''(((***((()))***)))'''''''''((((((((((((((((((((((((((()))'''&&&'''((()))((('''(((((())))))))))))((((((&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((((((((((((((($$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&'''((()))'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&(((''''''''''''((())))))%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&%%%%%%%%%(((((((((((((((((((((((((((''''''''''''&&&&&&&&&(((((('''''''''&&&&&&&&&&&&&&&'''((('''&&&$$$###%%%&&&&&&&&&''''''''''''((((((((((((((((((((((((&&&%%%%%%%%%%%%&&&''''''(((((((((((())))))))))))''''''&&&''''''((()))***((()))***)))((('''((()))'''&&&&&&&&&&&&%%%%%%%%%'''''''''((((((((((((((('''''''''(((((((((((((((((((((''''''''''''&&&&&&((((((((()))(((''''''&&&''''''''''''''''''''''''((((((((((((((((((((((((***++++++)))'''&&&''')))))))))(((((((((((('''''''''&&&&&&&&&&&&''''''(((+++***)))((('''(((((((((******))))))))))))*********+++,,,------,,,+++***((((((((())))))))))))***))))))((((((((()))******)))))))))(((((())))))***''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&'''((()))))))))((((((((((((((())))))))))))(((((((((((((((((((((((((((((()))))))))))))))***(((((((((((((((((((((((())))))(((((((((((('''''''''(((((()))))))))))))))(((((()))))))))(((''''''&&&&&&'''(((((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''(((((((((((((((((((((((((((''''''((()))***+++,,,%%%%%%%%%&&&&&&&&&&&&'''((((((((()))))))))******(((((((((((((((((((((((()))))))))))))))(((''''''(((((((((((())))))))))))***(((%%%%%%&&&((((((((((((((((((((((((''''''&&&'''''''''(((((()))))))))&&&'''(((((())))))((((((xxxooojjjiiigggbbb^^^\\\\\\]]][[[VVVNNNFFFAAA;;;:::777555444444444555111111111000000000//////........................------...///////////////...........................---,,,,,,++++++,,,,,,***++++++***(((''')))***++++++++++++++++++++++++***++++++,,,,,,,,,++++++)))(((''''''((()))***+++'''((())))))''''''((()))((()))***)))'''''''''((((((((((((((((((((((((((()))'''&&&'''((()))(((''''''(((((((((((((((((('''&&&&&&&&&%%%%%%%%%%%%%%%''''''''''''''''''''''''%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&'''''''''((((((&&&%%%%%%&&&&&&((())))))%%%%%%&&&&&&&&&&&&&&&''''''''''''((((((((())))))(((''''''''''''((())))))&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''((('''''''''&&&&&&&&&&&&(((((((((((((((((((((((((((''''''''''''&&&&&&&&&&&&&&&&&&'''''''''''''''&&&'''((((((((('''&&&%%%&&&&&&'''''''''(((((((((''''''''''''''''''''''''$$$%%%%%%&&&''''''&&&&&&%%%%%%%%%&&&&&&'''''''''&&&&&&&&&''''''((()))***''')))******)))((()))+++''''''''''''&&&&&&&&&%%%''''''''''''((((((((()))''''''''''''((((((((()))(((((('''''''''&&&&&&&&&&&&''')))******(((&&&$$$(((((((((((((((((((((((((((((((((((((((((((((((()))******(((&&&&&&'''((())))))((((((((('''''''''&&&&&&'''(((((((((((((((******))))))((('''(((***))))))(((((((((((())))))&&&))),,,+++(((&&&(((+++)))))))))*********+++++++++***(((((((((***,,,...///...---+++***)))))))))((((((((((((((((((((((((((((((((((((((((((((((((%%%%%%&&&&&&'''&&&&&&%%%(((((((((((())))))))))))((((((((((((((((((((((((''''''((((((((()))))))))(((((())))))))))))((((((((((((((('''''''''&&&&&&''''''((()))))))))))))))&&&'''((()))))))))((('''%%%&&&''''''((((((''''''((((((((((((((((((((((((''''''''''''''''''''''''(((((((((((((((((((((((()))((('''''''''((())))))%%%%%%%%%&&&&&&&&&&&&'''(((((()))))))))*********(((((((((((((((((((((((()))))))))))))))(((''''''(((((((((((())))))))))))***(((&&&&&&((())))))((((((((())))))(((''''''&&&%%%%%%&&&'''((())))))***&&&'''(((((())))))((((((tttmmmmmmnnnkkkfffgggiiikkkjjjeee]]]TTTOOO???===:::777444444444444111111111111000000000000........................------...///000000//////........................///...---++++++,,,------+++,,,,,,+++)))(((***+++++++++++++++++++++++++++'''''')))***,,,,,,------)))(((''''''''')))***+++'''((()))((('''&&&'''))))))******)))(((''''''((((((((((((((((((((((((((()))'''&&&'''((()))((('''&&&''''''''''''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''&&&&&&&&&'''''''''((((((&&&&&&&&&'''''''''((((((%%%%%%%%%&&&'''((()))***###$$$$$$%%%&&&(((((()))$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&''''''''''''''''''''''''''''''&&&'''''''''''''''''''''))))))(((((('''''''''&&&(((((((((((((((((((((((((((((('''''''''&&&&&&&&&$$$%%%%%%&&&'''((())))))&&&'''((())))))((('''''''''''''''(((((((((((()))''''''''''''''''''''''''%%%&&&((()))***)))((('''%%%%%%&&&&&&'''((())))))&&&&&&&&&'''''')))******'''(((******))))))+++,,,(((((((((''''''&&&&&&&&&&&&'''''''''(((((())))))&&&'''''''''(((((())))))******))))))((((((((('''%%%'''***++++++)))%%%###))))))))))))))))))))))))((((((((((((((((((((((((%%%'''(((''''''''')))+++))))))(((((('''''''''&&&'''(((***+++++++++***)))((('''((()))(((''')))+++((((((''''''''''''((((((%%%***...,,,&&&$$$(((---*********++++++,,,,,,,,,...---***)))***---000333444333000...+++)))((('''************************))))))))))))))))))))))))$$$$$$%%%%%%%%%$$$######(((((((((((())))))))))))'''''''''(((((((((((((((&&&'''''''''(((((())))))(((((())))))))))))((((((((((((''''''&&&&&&&&&%%%''''''((()))))))))))))))%%%&&&''')))))))))((((((%%%%%%&&&'''((((((((('''))))))))))))))))))))))))&&&'''''''''''''''''''''((((((((((((((((((((((((+++***((('''&&&&&&&&&''''''''''''((((((((())))))))))))))))))************(((((((((((((((((((((((()))))))))))))))(((((('''(((((((((((())))))))))))***)))'''''')))***)))((()))))))))))))))(((''''''###$$$%%%&&&''')))******&&&''''''(((((((((((((((wwwmmmjjjmmmooonnnnnnpppsssrrrlllbbbZZZMMMFFF;;;555333333444444444333222111000000000000000/////////............------............------................................................,,,,,,++++++***)))((((((+++++++++*********))))))++++++************************))))))((((((''''''))))))))))))))))))))))))&&&&&&''''''''''''&&&&&&''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&'''''''''''''''''''''''')))(((((((((((('''''''''%%%%%%%%%&&&&&&''''''''')))((('''&&&&&&&&&&&&&&&&&&&&&%%%'''((()))'''&&&%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%%%%%%%$$$&&&'''((('''%%%***)))'''%%%%%%%%%''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''&&&%%%%%%((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((&&&%%%%%%$$$%%%&&&((()))''''''&&&&&&&&&&&&'''''''''&&&&&&&&&&&&'''((((((+++&&&"""###(((++++++)))''''''''''''(((((((((((()))((('''&&&&&&'''((())))))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&(((((('''''''''&&&&&&&&&)))))))))(((&&&&&&'''((((((((())))))((('''&&&&&&(((((())))))))))))(((((((((((((((((((((((((((((('''''''''''''''((())))))...---***(((''''''((((((((((((((((((((((((((((((''''''(((((())))))******)))))))))))))))))))))))))))((('''&&&&&&'''((()))''''''(((((())))))******+++)))((((((***...222555555444222///---***((('''---,,,,,,++++++***)))))))))*********++++++++++++(((((((((((((((((((((((((((''''''&&&&&&&&&''''''(((((('''%%%$$$%%%'''******(((&&&###""""""###$$$''''''''''''((((((((()))******))))))((((((((('''(((((((((((())))))))))))))))))))))))))))))))))))((('''&&&%%%%%%&&&'''(((&&&'''((('''&&&%%%&&&(((''''''''''''''''''''''''%%%&&&((()))***)))(((&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''')))((('''&&&&&&%%%%%%&&&(((''''''&&&&&&&&&''''''***)))((((((((((((((())),,,+++***((((((((()))***(((((((((((())))))))))))(((&&&###!!!!!!###&&&(((******))))))((((((''''''(((((((((((())))))))))))}}}uuupppnnnnnnnnnqqqtttvvvssskkkdddVVVMMMBBB999555444444444222222111111111111111222000000/////////.........---......//////......---................................................,,,,,,++++++***)))))))))+++++++++*********)))))))))))))))***+++++++++,,,***)))))))))))))))(((((())))))))))))))))))))))))'''''''''(((((('''''''''''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&''')))((('''&&&&&&&&&&&&'''&&&&&&%%%'''((()))'''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&'''((()))(((&&&)))'''&&&%%%$$$%%%'''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''&&&%%%%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''&&&%%%$$$%%%&&&'''((('''''''''&&&&&&'''''''''%%%%%%%%%%%%%%%&&&''''''((($$$!!!"""''')))(((&&&''''''''''''(((((((((((()))((('''&&&&&&'''(((((((((''''''&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&(((((('''''''''&&&&&&&&&((())))))(((&&&%%%&&&((()))(((((((((''''''''''''(((((())))))))))))(((((((((((((((((((((((((((((('''''''''''''''((())))))***)))(((&&&&&&''')))***(((((((((((((((((((((((((((((((((((())))))))))))'''''''''''''''''''''''')))((('''&&&&&&'''((()))((((((((((((((())))))))))))(((&&&&&&&&&)))+++---...---,,,+++)))((('''&&&------...//////000000111))))))))))))*********+++))))))))))))))))))))))))(((''''''&&&&&&'''''''''''''''&&&%%%###$$$&&&)))'''&&&%%%%%%%%%'''(((***'''''''''((((((((()))))))))))))))(((((((((''''''(((((((((((())))))))))))))))))))))))))))))))))))((('''&&&&&&&&&&&&'''(((&&&'''(((((('''&&&'''(((''''''''''''''''''''''''&&&''')))***+++***)))(((''''''''''''''''''''''''&&&&&&'''''''''(((((((((&&&&&&&&&&&&'''((()))***(((''''''&&&&&&'''''''''))))))(((((((((((())))))+++***)))((((((((())))))))))))))))))(((((((((((()))(((&&&$$$$$$&&&((()))))))))))))))((((((((((((((((((((()))))))))******{{{rrrooonnnppptttxxxxxxtttpppbbbYYYKKK@@@888666555555111111111111111222333333000000000/////////......---......//////......---................................................,,,,,,,,,+++******))))))+++++++++***************(((((()))***+++,,,,,,---)))))))))***************))))))))))))))))))))))))'''(((((())))))(((((('''''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&&&&%%%%%%%%%'''''''''&&&&&&&&&&&&&&&((((((''''''&&&&&&''''''&&&&&&%%%'''((()))'''&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&%%%%%%%%%''''''&&&((()))***)))'''&&&&&&%%%$$$$$$%%%''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''((('''&&&%%%$$$%%%&&&'''''''''''''''''''''''''''%%%$$$$$$$$$$$$%%%&&&&&&&&&$$$"""$$$''')))(((%%%&&&''''''''''''((((((((((((''''''&&&''''''((((((''''''&&&&&&&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&(((((('''&&&%%%&&&'''***)))'''&&&&&&'''(((((((((((())))))))))))(((((((((((((((((((((((((((((('''''''''''''''((())))))&&&&&&%%%%%%&&&(((***+++))))))))))))))))))))))))))))))))))))((((((((((((''''''''''''''''''''''''((((((''''''''''''(((((())))))(((((((((((((((((((((((('''&&&&&&&&&&&&&&&)))((((((((((((((('''''')))******++++++,,,------(((((((((((())))))))))))))))))))))))))))))))))))''''''''''''''''''''''''&&&&&&&&&%%%###$$$&&&(((((('''''''''((()))+++,,,''''''((((((((()))))))))((((((((((((''''''''''''(((((((((((())))))))))))))))))))))))))))))))))))(((''''''&&&&&&''''''((('''((())))))''''''((()))'''''''''''''''''''''''''''(((***+++++++++***)))((((((((((((((((((((((((''''''((((((((()))))))))''''''''''''((()))******(((''''''&&&''''''(((((()))))))))(((((())))))******)))((('''''''''((((((******))))))((((((''''''))))))(((((((((((())))))(((((((((((())))))))))))))))))))))))************uuurrroooppptttwwwwwwuuukkkcccUUUGGG===888666555333333222111111111222222000000000////////////.........////////////......................................................,,,,,,,,,++++++*********************************)))))))))***+++++++++,,,))))))******++++++,,,,,,(((((((((((((((((((((((((((((())))))))))))((((((''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&'''''''''''''''(((((((((((((((((((((((()))(((((((((((('''''''''((((((''''''&&&&&&%%%%%%((((((''''''''''''((((((&&&%%%%%%'''((()))'''&&&'''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&'''))))))((('''$$$$$$$$$$$$$$$%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''')))(((&&&%%%$$$%%%%%%&&&&&&''''''''''''''''''&&&%%%%%%%%%$$$%%%%%%&&&''''''&&&&&&'''******)))'''&&&&&&&&&'''''''''(((((('''&&&&&&'''''''''((((((&&&&&&&&&&&&&&&'''((()))''''''''''''''''''''''''''''''''''''''''''''''''%%%'''((((((&&&%%%&&&'''***)))'''&&&%%%'''(((***(((((())))))))))))(((((((((((((((((((((((((((((('''''''''''''''((())))))&&&&&&%%%&&&'''(((***+++))))))))))))))))))))))))******))))))((((((''''''))))))))))))))))))))))))(((((((((''''''((((((((()))))))))((((((''''''&&&))))))))))))(((((('''&&&))))))))))))))))))))))))((((((''''''&&&%%%%%%%%%'''''''''(((((((((((()))((((((((((((((((((((((((&&&''''''(((((((((((((((''''''(((&&&%%%%%%''')))******)))((((((((()))***'''(((((((((((()))))))))((((((''''''''''''''''''(((((((((((())))))))))))((((((((((((((((((((((((((((((''''''''''''((((((((()))***)))((('''(((***'''''''''''''''''''''''''''((()))*********))))))((((((((((((((((((((((((''''''((((((((()))))))))+++***)))((((((''''''((('''''''''''''''(((((())))))))))))((())))))******(((((((((''''''''''''(((******))))))((((((''''''((())))))******))))))((('''''''''((()))*********))))))))))))*********+++}}}vvvssssssuuutttsssoooiii]]]PPPDDD;;;777555666555444222111000000000111000000000////////////...//////////////////...................................................,,,,,,,,,+++++++++++++++************************,,,+++++++++***)))))))))))))))******++++++,,,,,,(((((((((((((((((((((((((((((())))))))))))((((((''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&'''''''''(((((((((((((((((((((((((((((()))(((((((((((('''''''''(((((((((''''''&&&&&&&&&(((((('''''''''(((((()))&&&%%%%%%'''((()))'''&&&'''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&(((((('''%%%$$$$$$$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''&&&%%%%%%'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''')))(((&&&%%%$$$%%%%%%&&&&&&&&&'''(((((('''&&&&&&&&&&&&&&&&&&&&&''''''((('''''''''((())))))((('''&&&&&&&&&&&&''''''''''''%%%%%%&&&'''''''''''''''&&&&&&&&&&&&&&&'''((()))''''''''''''''''''''''''&&&'''''''''''''''''''''%%%&&&(((((('''&&&&&&'''***((('''%%%&&&''')))***(((((())))))))))))(((((((((((((((((((((((((((((('''''''''''''''((())))))((((((((((((((((((((()))))))))))))))))))))))))))******))))))((((((''''''))))))))))))))))))))))))'''(((((((((((((((((('''))))))((((((''''''&&&&&&'''((()))*********)))(((+++*********))))))))))))******))))))((('''''''''&&&'''''''''((((((((((((''''''''''''''''''''''''&&&&&&(((((())))))((((((((()))***)))''''''(((***))))))(((((((((((((((((((((((((((((()))))))))***''''''(((((((((((((((((((((((((((((())))))))))))((((((((((((((((((((((((((((((((((((((((((((((((((()))***)))((('''(((***''''''''''''''''''''''''''''''((((((((()))((((((''''''''''''''''''''''''&&&&&&'''''''''(((((((((+++***)))((((((''''''((('''''''''''''''((()))***)))))))))))))))***++++++'''''''''(((((((((((('''***)))))))))(((((((((''''''((())))))))))))((('''&&&&&&'''((()))***++++++((())))))))))))*********{{{uuuqqqmmmjjjdddYYYLLLAAA:::777888777555333111000//////111111000000000/////////...//////000000//////...................................................,,,,,,,,,,,,,,,,,,++++++***************+++++++++---,,,,,,+++***)))(((((()))))))))***************))))))))))))))))))))))))'''(((((())))))(((((('''''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''%%%%%%&&&&&&'''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&%%%%%%%%%((((((((('''''''''''''''((((((''''''(((((())))))&&&&&&%%%'''((()))'''&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''%%%$$$$$$%%%'''(((&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''&&&%%%%%%((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%$$$%%%&&&'''%%%&&&'''(((((('''&&&%%%'''&&&&&&&&&&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&'''''''''$$$%%%&&&'''''''''''''''''''''&&&&&&&&&'''((((((''''''''''''''''''''''''&&&&&&&&&'''''''''''''''%%%''')))***)))''''''((((((((('''&&&'''((()))***(((((())))))))))))(((((((((((((((((((((((((((((('''''''''''''''((())))))))))))))))))((('''''''''))))))))))))))))))))))))))))))))))))((((((((((((''''''''''''''''''''''''''''''((((((((((((''''''((((((''''''''''''''''''%%%&&&'''((()))))))))(((******)))((((((''''''&&&''''''((())))))******+++''''''''''''((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&((()))******)))((()))***+++***)))((()))+++%%%%%%&&&'''((())))))***((((((((()))))))))******(((((((((((())))))))))))(((((((((((())))))))))))))))))))))))))))))))))))'''(((((())))))((((((''''''((())))))''''''((()))''''''''''''''''''''''''''''''''''''((((((((((((''''''''''''''''''''''''&&&&&&'''''''''(((((((((''''''''''''((()))******''''''''''''((()))******))))))))))))******+++,,,''''''((()))))))))((((((((((((((()))))))))))))))''''''((((((((((((''''''&&&''''''((()))******+++(((((((((((()))))))))))){{{rrrjjjkkkiiiaaaUUUHHH???:::777666444333222111000000111111111000000000////////////000000000000//////................................................,,,,,,,,,,,,,,,,,,,,,,,,))))))*********+++++++++,,,+++++++++***)))))))))***)))))))))))))))(((((())))))))))))))))))))))))'''''''''(((((('''''''''''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''%%%%%%&&&&&&'''(((((()))&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&%%%%%%%%%''''''''''''((((((((((((((((((((((((((()))******&&&&&&%%%'''((()))'''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%&&&((()))'''&&&&&&''''''''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''&&&%%%%%%''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%$$$%%%&&&'''(((%%%&&&((())))))(((&&&%%%&&&&&&%%%%%%&&&&&&'''(((''''''&&&%%%$$$$$$&&&'''%%%%%%&&&&&&&&&'''''''''###$$$%%%'''((((((''''''(((''''''&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&'''''''''((((((%%%'''***+++***)))))))))''''''''''''((((((((()))(((((())))))))))))(((((((((((((((((((((((((((((('''''''''''''''((())))))((((((((((((''''''&&&&&&(((((((((((((((((((((((((((((((((((())))))))))))''''''''''''''''''''''''&&&'''((())))))((('''&&&&&&&&&'''''''''''''''''''''''''''''''''(((((((((((((((((((((''''''''''''%%%%%%&&&&&&'''(((((((((''''''((((((((()))))))))''''''''''''''''''''''''%%%&&&(((***+++***)))(((((()))+++***)))((()))***&&&''''''(((((())))))((((((((()))))))))*********))))))))))))******++++++(((((((((((())))))))))))))))))))))))))))))))))))'''((()))******)))((('''&&&'''(((((('''&&&'''(((''''''''''''''''''''''''((((((((((((((())))))***((((((((((((((((((((((((''''''((((((((()))))))))&&&&&&&&&&&&'''((()))***''''''''''''((()))***+++))))))))))))***+++,,,---'''((()))*********))))))''''''(((((())))))******((((((((((((((((((((((((''''''(((((())))))******&&&'''''''''((((((((((((tttgggjjjlllfff[[[MMMBBB===555444333333222222222222111111111111000000000000//////000000000000//////................................................,,,,,,,,,,,,,,,,,,,,,,,,))))))******++++++++++++***************+++++++++******))))))((((((''''''))))))))))))))))))))))))&&&&&&''''''''''''&&&&&&'''''''''&&&&&&'''''''''''''''''''''''''''''''''%%%%%%&&&&&&'''((())))))))))))))))))))))))))))))))))))((((((((('''''''''&&&&&&''''''(((((())))))((((((((((((((()))******&&&&&&%%%'''((()))'''&&&%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&''''''''''''&&&&&&''')))***((('''(((((((((((('''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$%%%&&&((()))%%%&&&((())))))(((&&&%%%%%%%%%$$$$$$%%%%%%&&&'''))))))(((&&&%%%&&&(((***%%%%%%%%%&&&&&&&&&''''''"""$$$%%%'''(((((('''''')))((('''&&&&&&&&&&&&&&&((((((((((((((((((((((((&&&&&&&&&'''''''''((((((%%%(((+++,,,+++***)))***&&&&&&'''((())))))(((((((((((())))))))))))(((((((((((((((((((((((((((((('''''''''''''''((())))))%%%%%%&&&''''''&&&&&&%%%((((((((((((((((((((((((''''''(((((())))))******))))))))))))))))))))))))&&&'''((())))))((('''&&&%%%&&&&&&''''''(((((((((******)))((((((((())))))((((((((()))))))))*********))))))(((''''''&&&&&&(((((((((((())))))))))))(((((((((((((((((((((((($$$&&&(((***++++++))))))'''(((******)))(((((()))++++++******)))'''&&&%%%))))))))))))************))))))******+++++++++,,,(((((((((((())))))))))))))))))))))))))))))))))))'''((()))******)))((('''&&&'''((('''&&&%%%&&&((('''''''''''''''''''''''')))))))))))))))******+++))))))))))))))))))))))))))))))))))))************)))((('''&&&&&&%%%%%%&&&''''''''''''((()))++++++))))))))))))***+++,,,---'''((()))+++++++++***)))&&&&&&'''((()))***++++++))))))(((((((((((())))))(((((((((((())))))))))))&&&&&&&&&&&&'''''''''(((