BM6P6(@ 999999888888888888999999:::::::::;;;;;;;;;<<<<<<<<<<<<<<<<<<<<<===>>>>>>GGGHHHPPPbbb|||xxxmmmiiilllooonnnZZZLLLFFFEEECCCDDDGGGKKKQQQXXX___bbb^^^ccciiinnnqqqrrrrrrsssrrrwww{{{}}}}}}{{{xxxvvvtttrrrqqqpppnnnllljjjhhhgggfff______]]][[[ZZZXXXWWWVVVUUUUUUTTTTTTTTTTTTTTTTTTTTTSSSRRRRRRRRRTTTUUUVVVWWWVVVWWWWWWXXXZZZ[[[\\\ccceeehhhkkknnnqqqsssssstttvvvzzz|||yyysssppprrrxxx}}}}}}yyy}}}~~~~~~~~~~~~{{{wwwtttnnnlllhhheeedddbbb___]]]ZZZZZZ[[[ZZZYYYZZZ\\\^^^jjjmmmppppppkkkddd^^^[[[SSSQQQNNNJJJIIIKKKPPPTTTWWW\\\dddjjjmmmpppqqqssspppqqqsssvvvyyyyyyvvvtttrrrpppnnniiieeedddeeegggfffgggggggggggggggfffeeeiiigggdddcccfffiiilllnnnmmmooossswww{{{~~~ppp\\\NNNFFFDDDCCCBBBBBBDDDEEEFFFGGGHHHKKKNNNMMMNNNPPPPPPOOONNNOOOPPPVVVXXXYYYYYYYYY\\\aaafffnnnyyyqqqlllxxxuuuiiieeeeeeooommmggg^^^XXXVVVVVVVVVWWWSSSSSSRRRQQQOOONNNMMMMMMPPPNNNKKKIIIHHHHHHIIIJJJIIIHHHHHHGGGFFFFFFFFFGGGIIIGGGFFFDDDDDDEEEGGGHHHFFFFFFEEEEEEEEEEEEFFFFFFFFFEEEEEEDDDCCCBBBBBBBBBBBBBBBBBBCCCDDDEEEEEEFFFFFFFFFFFFFFFEEEEEEEEEEEE999999888888888888999999:::::::::;;;;;;;;;<<<<<<<<<<<<<<<<<<<<<======>>>BBBDDDJJJXXXnnnyyytttssssss|||rrr___PPPGGGCCCCCCEEEGGGKKKPPPUUUYYY\\\\\\```eeejjjlllmmmooopppnnnrrrvvvwwwxxx||||||wwwtttsssrrrpppnnnllljjjhhhgggcccaaa]]]ZZZXXXWWWWWWXXXVVVVVVVVVUUUUUUUUUUUUUUUTTTSSSRRRRRRRRRSSSUUUVVVTTTUUUVVVWWWXXXYYYYYYZZZ^^^___cccfffjjjmmmpppqqqrrrtttwwwyyy{{{}}}~~~wwwrrrpppsssxxx~~~|||}}}}}}||||||}}}~~~|||wwwsssooommmiiifffcccaaa___^^^[[[ZZZXXXXXXXXXWWWVVVVVVYYY[[[```ccceeeddd```ZZZUUUSSSNNNNNNNNNMMMMMMQQQVVVZZZ^^^bbbhhhllloooqqqrrrsssvvvuuuuuuuuuvvvuuurrrooollljjjgggccc``````bbbdddfffggggggggggggfffeeeeeegggfffdddeeegggkkknnnooopppsssxxx~~~jjj___QQQGGGCCCDDDDDDDDDDDDEEEGGGHHHHHHIIILLLNNNMMMNNNNNNNNNMMMNNNQQQSSSXXXZZZ\\\]]]___dddmmmttt{{{xxxqqqrrrnnnhhhkkkssstttfffbbb]]]YYYWWWUUUSSSRRRSSSRRRQQQQQQPPPOOONNNNNNOOOMMMKKKIIIHHHHHHIIIIIIIIIHHHGGGGGGFFFFFFFFFGGGHHHGGGFFFEEEEEEFFFGGGGGGFFFFFFEEEEEEEEEEEEFFFFFFFFFFFFEEEDDDDDDCCCBBBBBBBBBBBBCCCCCCDDDEEEEEEFFFFFFFFFFFFEEEEEEEEEDDDDDD999999888888888888999999:::::::::;;;;;;;;;<<<<<<<<<<<<;;;;;;<<<<<<===>>>???AAAFFFNNN]]]qqq|||wwwtttxxxzzzkkk[[[NNNGGGBBBCCCEEEGGGKKKNNNQQQSSSYYY\\\```ccceeegggjjjllllllnnnqqqrrrsssxxx|||xxxvvvuuussspppnnnkkkjjjiiifffccc^^^ZZZWWWWWWXXXYYYWWWWWWWWWVVVVVVUUUUUUUUUSSSSSSSSSRRRSSSSSSTTTUUURRRSSSUUUVVVWWWWWWWWWWWWWWWYYY\\\```dddgggjjjkkkmmmooorrrsssuuuwww{{{}}}{{{}}}zzzuuurrrqqquuu{{{}}}}}}~~~~~~~~~~~~|||{{{zzzyyyyyyzzz{{{{{{xxxwwwsssppplllhhhfffeeebbb```]]][[[ZZZYYYWWWVVVTTTUUUTTTSSSQQQQQQSSSUUUXXXZZZ[[[ZZZVVVRRROOONNNKKKMMMOOORRRUUUZZZ___cccgggjjjnnnppprrrsssuuuvvv|||yyyuuurrrpppnnnkkkhhhfffeeebbb^^^\\\]]]aaadddgggggggggggggggfffeeeeeegggggghhhiiilllooorrrtttvvvzzzfffWWWPPPGGGAAAAAADDDEEEEEEFFFGGGIIIIIIIIIIIILLLNNNOOOOOOOOONNNOOOQQQUUUYYYZZZ\\\___aaagggppp|||xxxpppttt|||vvvmmmkkkvvvsssggg```^^^\\\[[[YYYVVVQQQNNNPPPPPPPPPPPPOOOOOOOOONNNNNNLLLKKKIIIHHHHHHHHHIIIHHHHHHGGGFFFFFFFFFFFFGGGFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEEEEEEEEEEEEFFFFFFFFFFFFEEEEEEDDDDDDCCCCCCBBBCCCCCCDDDDDDEEEEEEFFFFFFFFFEEEEEEEEEEEEDDDDDD:::999999888888999999::::::::::::;;;;;;;;;<<<<<<<<<;;;;;;;;;;;;<<<======AAACCCEEEIIIQQQ```sss{{{sssssswwwzzzjjj\\\TTTIIIHHHFFFFFFIIILLLPPPSSSWWWYYY\\\^^^___bbbeeehhhkkkmmmnnnppprrrwww~~~}}}xxxwwwuuurrrooommmkkkjjjhhheeeaaa]]]ZZZYYYYYYYYYXXXXXXWWWVVVVVVUUUTTTTTTSSSSSSSSSSSSSSSSSSTTTTTTQQQRRRUUUWWWXXXWWWVVVUUUTTTUUUXXX[[[___aaacccdddgggiiikkkmmmooorrruuuxxxyyyzzz}}}xxxuuussstttyyy{{{{{{}}}}}}~~~}}}|||zzzzzzyyyxxxvvvuuuttttttttttttqqqoookkkgggdddbbbaaaaaa^^^\\\YYYXXXXXXWWWVVVTTTQQQQQQQQQOOOMMMMMMNNNPPPTTTUUUVVVTTTRRRPPPPPPQQQLLLPPPUUUZZZ^^^cccgggkkkmmmpppssstttuuuvvvxxxzzz}}}xxxrrrmmmjjjhhheeedddeeedddaaa^^^]]]___cccgggggghhhhhhhhhhhhhhhggggggiiikkkmmmoooqqqsssvvvxxx~~~hhhSSSMMMIIIDDDBBBBBBDDDEEEDDDGGGHHHIIIIIIIIIIIIKKKMMMQQQRRRSSSSSSSSSUUUYYY\\\___ccchhhoooyyyyyyrrrtttwwwssstttvvvwwwgggbbb\\\[[[ZZZYYYXXXUUUQQQNNNMMMMMMMMMMMMMMMNNNNNNNNNLLLKKKJJJIIIHHHHHHHHHHHHGGGGGGFFFFFFFFFFFFFFFGGGEEEEEEFFFGGGGGGGGGFFFFFFGGGFFFFFFEEEEEEFFFFFFGGGFFFFFFFFFEEEEEEDDDDDDDDDCCCCCCDDDDDDEEEEEEEEEEEEFFFEEEEEEEEEDDDDDDDDDDDD::::::999999999999:::::::::::::::;;;;;;;;;<<<<<<;;;;;;;;;;;;;;;<<<======BBBDDDEEEEEEHHHRRRcccooozzzxxxvvvuuuxxxsssqqqqqqvvvyyyllleeeYYYUUUOOOKKKKKKNNNSSSWWWVVVXXXYYY[[[\\\^^^bbbeeeiiijjjlllnnnqqqvvv{{{{{{zzzxxxtttqqqnnnlllkkkggggggeeeccc```]]]ZZZYYYYYYXXXXXXVVVUUUTTTSSSSSSSSSSSSTTTTTTTTTSSSSSSSSSRRRSSSUUUWWWXXXWWWVVVUUUUUUVVVWWWYYY[[[\\\]]]]]]```bbbeeegggiiimmmqqqtttuuuvvvxxx{{{}}}~~~~~~~~~|||vvvtttuuuxxx{{{yyyzzz~~~~~~|||~~~~~~}}}{{{zzzxxxwwwvvvuuutttrrrpppnnnnnnnnnnnnlllkkkhhheeebbbaaa``````]]][[[YYYXXXXXXWWWVVVTTTNNNNNNNNNLLLJJJJJJLLLMMMOOOPPPQQQQQQPPPPPPRRRTTTUUUXXX^^^cccfffjjjmmmoooqqqsssvvvwwwxxxyyy{{{}}}xxxsssmmmhhheeedddcccbbbeeedddbbb___^^^```dddhhhggghhhiiijjjjjjjjjjjjjjjjjjmmmppprrrtttvvvzzz~~~iiiVVVJJJFFFEEECCCCCCDDDEEEEEEEEEGGGHHHIIIIIIIIIIIILLLNNNQQQRRRUUUVVVWWWYYY\\\^^^fffnnnyyywwwrrrvvvzzzrrrpppuuu||||||iii___[[[YYYWWWTTTSSSSSSRRRPPPNNNJJJKKKKKKKKKKKKLLLLLLLLLJJJJJJIIIHHHHHHHHHGGGGGGFFFFFFFFFEEEEEEFFFGGGGGGDDDEEEFFFGGGGGGGGGGGGGGGGGGGGGFFFFFFFFFFFFGGGGGGFFFFFFFFFFFFFFFEEEEEEEEEDDDDDDDDDEEEEEEEEEEEEEEEEEEEEEEEEDDDDDDDDDDDDCCC::::::999999999999:::::::::::::::;;;;;;;;;<<<<<<;;;;;;::::::;;;;;;<<<===@@@AAABBBAAABBBHHHSSS\\\llllllkkkjjjjjjoooyyyxxxvvvtttvvv}}}}}}yyymmmggg]]]TTTNNNMMMOOOQQQUUUVVVXXXYYYZZZ\\\___bbbdddeeegggjjjooossswwwyyy|||~~~{{{xxxtttqqqnnnmmmhhhiiiiiihhheeeaaa]]][[[[[[ZZZYYYXXXVVVUUUTTTSSSSSSTTTTTTTTTTTTSSSRRRRRRRRRSSSUUUVVVVVVVVVUUUTTTUUUVVVWWWXXXYYYYYYYYYYYY[[[]]]___bbbcccfffjjjmmmlllnnnqqquuuxxx{{{}}}}}}~~~~~~xxxssstttvvvzzz~~~{{{xxxwwwzzz}}}{{{}}}||||||{{{zzzyyyxxxvvvuuutttsssqqqpppmmmkkkiiiiiihhhhhhiiihhhfffdddbbbaaa``````]]][[[XXXWWWWWWVVVUUUSSSLLLMMMMMMKKKJJJJJJKKKMMMJJJLLLNNNOOOPPPSSSVVVYYY```ccchhhkkkmmmooorrrsssrrruuuxxxzzzzzzzzz{{{|||rrrmmmhhhdddcccccccccccceeedddcccaaa___```bbbeeeffffffhhhiiikkkllllllllljjjnnnrrruuuwww{{{|||eeeVVVLLLGGG@@@@@@AAACCCEEEFFFHHHIIIHHHIIIJJJKKKJJJKKKNNNPPPQQQSSSUUUWWWZZZ^^^bbbfffooozzzzzzuuuyyyxxxpppooorrr|||oooddd\\\WWWTTTRRROOONNNNNNNNNNNNMMMJJJJJJJJJJJJJJJKKKKKKKKKIIIIIIIIIHHHHHHGGGGGGGGGFFFEEEEEEEEEEEEFFFGGGGGGEEEEEEEEEFFFGGGGGGHHHHHHGGGGGGFFFFFFFFFFFFGGGGGGGGGGGGFFFFFFFFFFFFFFFFFFEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEDDDDDDDDDDDDCCCCCC;;;::::::999999::::::;;;:::::::::;;;;;;;;;<<<<<<;;;;;;::::::;;;;;;<<<======???@@@???@@@CCCIIINNN]]]cccgggfffdddfffooowww~~~{{{zzz}}}wwwiii\\\SSSNNNLLLSSSUUUWWWXXXYYYZZZ\\\^^^aaabbbeeeiiinnnrrrtttuuuxxx{{{|||xxxtttqqqpppkkkkkkjjjiiigggdddbbb```^^^]]]\\\ZZZXXXWWWUUUUUUSSSTTTTTTUUUTTTSSSRRRQQQRRRRRRSSSSSSSSSTTTTTTTTTSSSTTTUUUWWWXXXXXXXXXXXXXXXZZZ\\\\\\]]]___aaadddeeegggjjjnnnrrrvvvxxxyyyzzz{{{|||~~~yyysssppprrrvvv{{{{{{{{{zzzyyyzzz~~~~~~{{{zzz{{{}}}~~~{{{yyyxxxwwwwwwvvvtttsssrrrqqqpppmmmllljjjgggfffeeeeeeeeecccccccccbbbaaa```^^^^^^\\\ZZZWWWUUUUUUTTTRRRQQQLLLLLLLLLKKKJJJKKKMMMOOOKKKNNNRRRUUUXXX[[[```ccciiilllooorrrssstttvvvwwwtttwwwzzz{{{zzzxxxwwwwwwnnnjjjfffccccccdddeeeeeefffgggfffdddbbbaaaaaacccbbbccceeehhhjjjkkklllmmmmmmqqqwww{{{xxxaaaSSSKKKFFFDDD@@@AAACCCEEEFFFHHHJJJKKKIIIKKKLLLMMMMMMOOOQQQSSSUUUVVVWWWZZZ^^^gggpppwww{{{xxx{{{yyyzzz|||ssshhhbbb[[[VVVRRRPPPNNNNNNOOOOOOOOONNNLLLLLLKKKKKKKKKKKKKKKKKKHHHHHHHHHHHHHHHGGGGGGFFFEEEEEEEEEEEEEEEFFFGGGGGGFFFEEEEEEEEEEEEGGGHHHIIIHHHGGGGGGFFFFFFGGGGGGHHHGGGGGGGGGGGGGGGGGGGGGGGGEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEDDDDDDDDDCCCCCCCCC;;;::::::999999::::::;;;:::::::::;;;;;;;;;<<<<<<;;;::::::::::::;;;<<<<<<===>>>???@@@@@@BBBEEEGGGUUU^^^ggghhhcccccckkkssszzz}}}zzzzzzqqqaaaVVVPPPQQQSSSVVVXXXXXXYYYZZZ\\\```bbbeeejjjooossstttsssvvvyyy~~~{{{wwwtttrrrnnnmmmkkkhhhfffeeeeeeeee``````^^^\\\ZZZYYYWWWVVVSSSTTTUUUUUUUUUSSSRRRQQQRRRRRRQQQQQQQQQRRRRRRSSSQQQRRRTTTUUUWWWXXXYYYYYYXXXYYYZZZYYYYYYYYY[[[]]]ccceeehhhkkknnnqqqssssssuuuvvvxxx{{{~~~vvvpppmmmpppuuu{{{{{{{{{{{{|||~~~~~~{{{{{{~~~{{{~~~}}}}}}|||{{{yyywwwtttsssttttttsssrrrqqqpppooonnnkkkjjjhhheeedddccccccccc___````````````^^^\\\[[[[[[XXXUUUSSSSSSRRRPPPNNNLLLLLLMMMLLLKKKLLLNNNPPPQQQTTTYYY]]]aaaeeejjjmmmnnnpppsssuuuvvvwwwyyyzzzvvvyyy||||||zzzwwwtttsssmmmjjjfffddddddfffffffffiiijjjjjjhhheeecccbbbccc___aaacccfffiiikkklllmmmqqqvvv|||www```PPPJJJGGGEEEDDDEEEGGGHHHIIIIIIIIIKKKLLLKKKLLLNNNOOOPPPQQQTTTVVV\\\[[[[[[]]]cccppp~~~yyyssssss}}}xxxfff___]]]XXXSSSRRRRRRQQQRRRTTTSSSQQQOOONNNMMMMMMMMMLLLLLLLLLLLLGGGGGGHHHHHHHHHGGGFFFFFFEEEEEEDDDEEEEEEFFFGGGGGGFFFEEEDDDDDDEEEGGGIIIJJJHHHGGGGGGFFFFFFGGGGGGHHHGGGGGGGGGGGGGGGGGGGGGGGGFFFFFFFFFEEEEEEEEEEEEEEEEEEDDDDDDDDDCCCCCCCCCCCC888888777777777777888888999999888888999999:::;;;999999::::::::::::;;;;;;;;;===>>>???>>>>>>@@@AAAHHHUUUfffoookkkccceeellluuu}}}xxxyyy}}}pppXXXPPPPPPRRRTTTVVVVVVWWWZZZ\\\^^^```dddgggjjjnnnssswwwvvvwwwyyy{{{~~~|||yyyyyyzzzrrrpppmmmlllkkkiiigggeeegggccc^^^[[[YYYXXXWWWVVVZZZYYYWWWVVVVVVVVVWWWWWWRRRRRRQQQQQQQQQRRRRRRSSSTTTTTTUUUUUUUUUVVVVVVVVVVVVVVVUUUTTTUUUWWWZZZ[[[^^^___```bbbeeehhhjjjlllpppqqqrrruuuwww{{{}}}~~~~~~~~~yyyssspppnnnqqqxxx~~~xxxwwwwwwyyy~~~|||~~~xxxxxxyyy~~~|||xxxzzzyyyvvvsssqqqpppppppppooonnnmmmkkkjjjiiihhhhhhiiihhheeebbb```^^^^^^^^^```___]]][[[YYYXXXWWWWWWWWWSSSPPPOOOPPPOOOMMMJJJJJJKKKLLLLLLMMMPPPTTTXXXYYY\\\```eeeiiilllmmmmmmrrrtttvvvxxxyyyyyyyyyyyyxxxxxxwwwuuusssqqqnnnmmmhhhfffdddbbbbbbdddfffgggiiijjjjjjjjjhhhhhhjjjkkkhhhiiiiiiiiiiiijjjmmmpppsssyyyddd[[[OOOHHHGGGGGGFFFDDDJJJHHHFFFGGGJJJLLLKKKIIIJJJMMMPPPQQQPPPSSSYYY___gggeeedddfffmmm~~~nnnmmmttt|||yyy~~~zzzhhh___[[[WWWUUUUUUPPPPPPPPPOOOOOOOOONNNNNNMMMMMMMMMLLLLLLLLLLLLLLLJJJLLLMMMNNNNNNMMMLLLJJJFFFEEECCCBBBCCCDDDFFFGGGGGGGGGFFFFFFFFFFFFFFFFFFGGGGGGFFFFFFFFFFFFGGGGGGEEEEEEFFFFFFFFFGGGGGGGGGHHHHHHHHHGGGFFFEEEEEEDDDFFFEEEDDDCCCCCCDDDEEEFFF888888777777777777888888999999888888999999:::;;;999999999:::::::::;;;;;;:::<<<============>>>@@@GGGNNN[[[fffiiieeeeeehhhnnnyyy~~~yyyuuuuuu|||eeeXXXPPPQQQRRRSSSUUUWWWXXXYYY]]]^^^```bbbeeeiiinnnrrrrrrsssuuuwwwzzz}}}{{{zzztttrrrooonnnmmmllliiiggggggddd```]]]\\\ZZZYYYWWWZZZYYYXXXVVVVVVVVVVVVWWWTTTSSSSSSRRRSSSSSSTTTTTTTTTTTTTTTUUUUUUUUUVVVVVVVVVUUUTTTTTTTTTVVVXXXYYYYYYZZZ[[[]]]___aaadddeeejjjkkkmmmooorrruuuxxxzzzzzz{{{}}}|||xxxqqqooonnnrrrzzz}}}|||zzzzzz{{{}}}}}}}}}}}}}}}yyyyyy|||~~~{{{xxxvvvuuussspppooonnnmmmmmmlllkkkiiigggfffeeeddddddeeecccaaa___^^^]]]]]]]]]ZZZZZZXXXWWWVVVUUUTTTTTTUUUQQQNNNLLLLLLLLLJJJIIIKKKLLLNNNPPPRRRVVV[[[___aaadddggglllooopppqqqqqquuuvvvxxxyyyyyyyyyyyyxxxssssssrrrpppooolllkkkiiigggfffdddccccccdddfffggghhhiiijjjjjjjjjjjjlllnnniiiiiiiiiiiijjjmmmrrrvvv}}}wwwiiiYYYQQQIIIDDDDDDEEEDDDBBBIIIGGGGGGIIILLLNNNMMMLLLMMMPPPRRRSSSUUU[[[eeemmmwwwuuusssvvv~~~sssmmmtttyyy|||pppaaaZZZXXXUUUSSSSSSNNNNNNNNNMMMMMMMMMLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLQQQWWW[[[ZZZUUUOOOJJJFFFEEECCCBBBBBBCCCDDDEEEEEEFFFFFFFFFFFFFFFEEEEEEGGGFFFFFFEEEEEEFFFFFFGGGEEEEEEFFFFFFFFFGGGGGGGGGFFFFFFEEEDDDDDDCCCBBBBBBEEEDDDDDDDDDDDDDDDDDDEEE888888777777777777888888999888888888888999::::::999999999999::::::::::::999;;;<<<<<<;;;;;;===>>>EEEEEEMMMZZZdddggghhhjjjqqq{{{{{{rrrlllqqq~~~qqq___VVVSSSPPPQQQTTTWWWXXXWWWZZZ[[[\\\]]]^^^bbbgggkkklllmmmoooqqqsssxxx{{{wwwuuurrrqqqpppooollljjjiiifffcccaaa```^^^[[[YYYZZZZZZYYYWWWWWWVVVVVVWWWVVVUUUUUUTTTTTTTTTUUUUUUTTTTTTTTTTTTTTTUUUUUUUUUVVVUUUTTTSSSSSSTTTUUUVVVVVVVVVWWWXXXZZZ\\\^^^___bbbccceeegggjjjnnnppprrrtttuuuxxx|||~~~~~~~~~~~~~~~~~~~~~~~~~~~zzzuuuooonnnnnnsss|||}}}zzzyyy{{{|||}}}}}}}}}~~~zzzwwwxxxzzz~~~~~~}}}}}}{{{xxxvvvqqqpppnnnlllkkkjjjiiiiiihhhgggeeecccaaa```___^^^___^^^]]]\\\[[[ZZZZZZZZZUUUTTTSSSRRRRRRQQQRRRRRRQQQNNNJJJHHHIIIIIIIIIIIIMMMPPPSSSWWW[[[___dddhhhjjjlllooorrrtttuuuuuutttyyyyyyyyyyyyxxxwwwvvvvvvnnnnnnnnnmmmkkkiiihhhgggffffffdddddddddeeefffggggggiiijjjkkkkkkllloooqqqnnnnnnmmmmmmnnnsss{{{}}}jjjZZZQQQMMMHHHCCCBBBCCCEEEEEECCCHHHGGGHHHKKKNNNPPPPPPOOONNNPPPRRRTTTYYYdddrrr|||rrrkkkjjjrrr{{{zzzxxxvvv~~~ooocccXXXUUUTTTRRRPPPPPPLLLKKKKKKKKKJJJJJJJJJJJJKKKKKKKKKKKKKKKKKKKKKKKKOOOVVVaaahhhggg^^^RRRJJJFFFEEECCCBBBAAAAAABBBCCCDDDDDDFFFFFFGGGFFFEEEDDDGGGFFFFFFEEEEEEFFFFFFGGGEEEEEEEEEFFFFFFFFFFFFGGGEEEEEEDDDDDDCCCCCCBBBBBBCCCCCCDDDDDDDDDDDDCCCCCC888888777777777777888888888888888888888999999:::888999999999999:::::::::999;;;<<<<<<;;;;;;<<<>>>BBB???CCCNNN[[[dddlllssswwwtttjjjjjjsssjjjbbbZZZQQQNNNQQQVVVWWWVVVYYYYYYYYYXXXYYY\\\aaaeeefffgggiiikkkmmmqqqwww{{{~~~~~~{{{yyyvvvttttttrrrooommmkkkiiigggfffeeeccc___\\\\\\\\\[[[ZZZYYYXXXXXXWWWVVVVVVUUUUUUTTTUUUUUUUUUTTTTTTTTTTTTTTTTTTTTTTTTWWWVVVUUUTTTTTTTTTTTTTTTWWWXXXXXXYYYZZZ\\\]]]^^^\\\]]]___aaadddgggiiikkklllnnnrrrvvvyyy{{{||||||{{{{{{|||}}}~~~}}}}}}}}}}}}}}}~~~}}}wwwrrrllllllnnnuuu~~~{{{yyyxxxzzz{{{~~~~~~zzzvvvsssvvvyyy}}}{{{yyyxxxwwwuuurrrppplllkkkjjjiiihhhgggffffffeeedddbbb```^^^\\\\\\[[[]]]\\\[[[YYYXXXWWWVVVVVVRRRQQQPPPOOOOOONNNNNNNNNLLLJJJHHHGGGIIIKKKMMMNNNTTTWWW[[[```cccggglllooonnnpppsssvvvwwwxxxwwwwwwyyyyyyxxxvvvuuusssrrrqqqlllllllllkkkjjjiiihhhgggffffffeeeeeeeeefffgggggghhhjjjkkkllllllmmmppprrrssssssssstttwwwuuubbbUUULLLEEEGGGEEECCCDDDFFFGGGGGGFFFHHHIIIJJJMMMOOOPPPPPPOOOPPPRRRVVV\\\eeeqqqtttiiigggpppzzzuuutttttttttzzzooocccZZZSSSRRRRRROOOMMMNNNJJJJJJJJJJJJIIIIIIIIIIIIJJJJJJJJJJJJJJJKKKKKKKKKOOOWWWcccjjjiii___QQQHHHEEEDDDCCCAAAAAA@@@@@@AAABBBCCCEEEFFFFFFEEEDDDCCCFFFFFFEEEEEEEEEEEEFFFFFFEEEEEEEEEEEEFFFFFFFFFFFFFFFFFFFFFEEEEEEDDDDDDDDDBBBBBBDDDEEEEEEDDDBBBBBB888888777777777777888888888888777777888888999:::888888888999999999:::::::::<<<======;;;;;;<<<>>>???===???GGGPPP\\\mmm{{{wwwzzzoooiiiiiippp~~~ooocccUUUMMMMMMQQQSSSTTTWWWXXXWWWVVVVVVXXX\\\___aaabbbdddeeegggjjjooosssxxx~~~~~~{{{yyyxxxuuurrrpppooommmkkkjjjiiigggdddaaa______^^^]]]\\\[[[ZZZYYYWWWVVVUUUUUUTTTTTTTTTUUUUUUUUUTTTTTTTTTTTTTTTTTTXXXWWWVVVUUUUUUTTTTTTTTTYYYYYYYYYYYYZZZ\\\]]]^^^ZZZZZZ[[[]]]___bbbdddeeeeeegggkkknnnqqqtttuuuuuuuuuvvvwwwxxxyyyzzz{{{|||{{{{{{{{{{{{{{{|||}}}}}}}}}}}}~~~~~~~~~~~~zzztttooojjjkkkooowww~~~{{{yyyyyy{{{}}}~~~~~~}}}~~~zzzwwwsssrrrwww{{{yyywwwtttqqqpppnnnkkkiiihhhhhhggggggfffeeeddddddcccbbb```^^^\\\[[[ZZZZZZ\\\[[[ZZZXXXVVVSSSRRRQQQOOOOOOMMMLLLKKKJJJJJJJJJJJJJJJKKKLLLNNNQQQUUUWWW\\\```eeeiiikkknnnpppsssrrrsssvvvyyyzzzzzzzzzyyyvvvuuusssqqqooonnnmmmllliiiiiiiiiiiiiiihhhggggggffffffggghhhhhhhhhhhhhhhjjjlllmmmmmmnnnoooqqqtttrrrtttxxx}}}kkkYYYRRRNNNHHHCCCFFFEEEEEEFFFGGGHHHHHHGGGIIIKKKLLLNNNOOOOOOPPPQQQUUUYYYaaajjjvvv|||pppkkkiiiqqq{{{rrrmmmnnntttyyy|||rrrggg^^^WWWRRRRRRRRRNNNLLLLLLKKKJJJJJJJJJJJJIIIIIIIIIHHHHHHIIIIIIIIIJJJJJJJJJNNNTTT\\\aaa___WWWMMMEEEDDDDDDCCCBBBAAA@@@@@@@@@AAABBBCCCDDDEEEDDDDDDCCCFFFEEEEEEEEEEEEEEEEEEFFFEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEDDDDDDDDDDDDDDDAAABBBCCCDDDDDDCCCBBBAAA888888777777777777888888888777777777777888999999888888888888999999999999;;;<<<===<<<;;;;;;<<<======<<>>AAACCCIIIWWWdddvvvzzzoookkkmmmvvv}}}yyyqqqjjjgggjjjqqq~~~ooo```UUUOOONNNNNNQQQSSSUUUUUUTTTTTTUUUWWWWWWYYY[[[\\\]]]___bbbeeejjjpppxxx{{{xxxwwwtttqqqnnnnnnmmmlllkkkgggggggggfffeeecccaaa```ZZZYYYXXXWWWVVVVVVVVVVVVWWWWWWWWWVVVVVVVVVUUUUUUUUUUUUUUUUUUUUUUUUTTTTTTUUUUUUUUUVVVXXXZZZ[[[\\\[[[[[[[[[[[[[[[\\\]]]^^^^^^]]]]]]]]]___bbbdddfffgggiiilllllllllllloooqqqppppppqqqrrrssstttvvvwwwwwwyyy{{{||||||~~~}}}|||~~~{{{vvvnnniiiiiilllrrr{{{~~~zzzxxxyyyyyy}}}~~~}}}|||{{{xxx}}}}}}~~~|||vvvqqqooonnnpppqqqxxx|||~~~zzztttqqqpppkkkiiifffdddddddddcccaaa```aaabbbbbbbbbaaa```___YYYXXXWWWVVVUUUUUUUUUUUUSSSSSSSSSRRRPPPNNNKKKJJJJJJJJJJJJKKKLLLMMMNNNOOOTTTXXX\\\```aaabbbeeehhhhhhlllqqqtttuuuuuuuuuvvvyyyyyyzzzzzzxxxvvvsssqqqmmmkkkjjjhhhggggggggggggffffffggghhhhhhiiihhhhhhggghhhkkkmmmnnnmmmkkkjjjlllnnnqqqtttvvvzzz~~~ppp___SSSHHHGGGGGGEEEDDDFFFEEEEEEGGGGGGHHHIIIJJJKKKKKKMMMOOOPPPQQQUUU[[[___aaagggrrroooggghhhjjjvvv{{{nnnfff```______eeesss~~~jjj```^^^WWWRRROOOPPPNNNKKKJJJLLLJJJJJJJJJIIIIIIIIIHHHHHHFFFFFFFFFGGGHHHIIIIIIIIIJJJKKKKKKKKKJJJHHHEEEDDDBBBBBBCCCCCCCCCBBBBBBBBBAAAAAA@@@???@@@BBBDDDEEEEEEEEEDDDDDDDDDDDDEEEEEEFFFFFFEEEEEEDDDDDDDDDDDDAAAAAAAAAAAAAAAAAAAAAAAABBBBBBAAAAAAAAAAAABBBBBB888888777777777777888888777777777777777888888999777888888888888999999999888:::;;;:::888888999:::;;;:::<<<@@@BBBDDDKKKTTTeeetttvvvjjjgggjjjmmmuuuyyysssoookkkiiiiiittt|||}}}nnn___UUUPPPNNNNNNQQQTTTUUUTTTSSSSSSTTTTTTVVVXXXYYYZZZ[[[^^^```dddjjjrrrxxx|||~~~{{{yyyvvvrrrooooooooonnnmmmiiiiiijjjiiigggeeecccbbb[[[[[[ZZZXXXXXXWWWWWWWWWXXXXXXXXXWWWWWWVVVVVVVVVSSSSSSTTTTTTTTTTTTSSSSSSTTTUUUUUUWWWXXXZZZ\\\]]][[[[[[[[[ZZZZZZ[[[[[[\\\\\\[[[ZZZYYYZZZ\\\___aaabbbeeeggghhhggggggjjjmmmllllllmmmnnnoooqqqssstttuuuxxxzzz{{{zzz|||||||||}}}~~~zzz|||~~~~~~zzztttmmmhhhiiilllsss||||||xxxwwwxxxyyy{{{~~~|||||||||{{{yyy{{{|||zzzyyy{{{}}}~~~|||xxxrrrmmmjjjllloooqqquuuxxxzzzxxxrrrlllhhhgggfffcccaaa```aaabbbbbbbbb^^^___`````````___^^^]]]TTTTTTSSSRRRRRRRRRRRRRRROOOOOOOOOOOONNNLLLKKKIIIKKKLLLMMMOOOQQQSSSVVVWWWZZZ^^^dddgggggggggiiikkkiiimmmrrrvvvwwwwwwwwwwwwyyyyyyxxxwwwtttpppllljjjjjjiiihhhfffffffffgggggghhhiiijjjkkkllllllllllllgggiiilllnnnooonnnmmmkkklllooossswwwzzz}}}cccSSSLLLGGGFFFHHHFFFBBBDDDIIIFFFGGGHHHIIIJJJKKKNNNPPPKKKMMMOOOQQQSSSXXX```fffnnntttvvvllleeeggglll|||yyylllccc___\\\___fffrrr}}}nnn```WWWUUUSSSOOOLLLMMMLLLIIIIIILLLIIIIIIIIIHHHHHHHHHGGGGGGEEEEEEFFFGGGHHHHHHIIIIIIIIIIIIIIIHHHGGGFFFEEEEEEBBBBBBCCCCCCDDDCCCCCCCCCBBB@@@???>>>???AAADDDFFFEEEEEEDDDDDDDDDDDDEEEEEEFFFFFFEEEEEEDDDDDDDDDCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCBBB@@@@@@@@@@@@BBBCCC666777999999777666777888777888888888888999999999:::::::::999999888888888888888777777888888999:::============???BBBEEEGGGXXXeeeuuu~~~xxxrrrkkkfffggglllyyy|||wwwooohhhfffeeennn~~~uuugggWWWJJJPPPOOOPPPQQQNNNKKKMMMSSSSSSRRRQQQQQQRRRTTTVVVXXXbbbeeejjjpppuuu|||~~~}}}yyyuuusssrrrqqqpppooooooooonnnllljjjfffcccbbbaaa```___]]][[[ZZZYYYXXXVVVXXXYYYYYYWWWTTTTTTTTTXXXXXXXXXXXXXXXXXXXXXXXXWWWXXXXXXWWWVVVXXX[[[^^^^^^^^^^^^^^^^^^^^^^^^^^^___]]][[[[[[]]]^^^\\\ZZZ^^^___`````````aaaccceeedddfffggggggggghhhkkkmmmqqqrrrtttvvvwwwxxxyyyyyy~~~}}}|||{{{{{{{{{|||zzzzzzzzzzzzzzz{{{||||||zzz{{{~~~~~~yyyzzz|||~~~~~~xxxqqqjjjfffgggjjjqqq{{{|||wwwwwwzzz|||~~~|||{{{xxxwwwxxxzzz~~~~~~|||{{{zzz{{{|||}}}}}}|||{{{zzztttpppjjjeeeeeeiiioootttvvvuuussspppllliiifffddd___^^^]]]\\\[[[[[[[[[\\\ZZZ[[[[[[ZZZZZZYYYXXXWWWXXXVVVSSSPPPNNNMMMNNNNNNOOONNNMMMKKKJJJJJJJJJJJJQQQRRRUUUWWWZZZ\\\^^^___eeeggghhhhhhhhhjjjlllnnnmmmnnnpppsssuuuvvvwwwxxxuuussspppnnnnnnmmmkkkiiiffffffeeedddeeegggiiikkkjjjjjjjjjjjjkkkkkkkkkkkknnnmmmlllmmmnnnooooooooorrrrrrwww}}}qqq^^^SSSNNNHHHGGGGGGFFFFFFFFFFFFGGGFFFGGGHHHKKKMMMNNNNNNLLLMMMPPPTTTWWWZZZ```iiioooyyyppphhhfffiiisss}}}~~~uuunnnhhheee```fffqqqpppfff[[[VVVVVVRRRQQQNNNLLLKKKKKKLLLLLLKKKKKKJJJIIIHHHHHHGGGGGGDDDEEEGGGIIIJJJKKKLLLLLLKKKKKKIIIHHHFFFEEEDDDCCCCCCCCCCCCCCCDDDDDDDDDDDDCCCCCCBBBAAAAAAAAAAAABBBDDDCCCCCCCCCEEEFFFHHHJJJGGGGGGGGGFFFFFFFFFEEEEEEDDDCCCCCCCCCCCCBBBBBBBBBAAAAAAAAAAAAAAAAAAAAAAAA666777999999777666777888777777888888888999999999::::::::::::999999999888888888777777888888999::::::999:::;;;>>>AAADDDFFFMMMWWWfffttt~~~~~~xxxrrrnnnhhhkkkwww|||uuuqqqiiillluuuvvveeeWWWPPPNNNNNNPPPPPPMMMMMMQQQQQQQQQPPPPPPQQQSSSUUUVVV]]]```eeejjjooovvv}}}{{{xxxwwwwwwvvvtttqqqqqqpppnnnllliiifffdddbbbbbbaaa___]]]\\\ZZZZZZXXXYYYYYYXXXVVVTTTSSSTTTVVVVVVVVVVVVVVVWWWWWWWWWYYYYYYYYYXXXWWWWWWYYY\\\]]]]]]^^^^^^^^^^^^^^^^^^___\\\[[[[[[]]]]]]\\\ZZZ[[[\\\]]]]]]\\\\\\^^^```aaacccdddddddddeeegggiiikkklllnnnppprrrsssttttttyyyyyyyyyxxxxxxxxxxxxwwwxxxwwwvvvvvvuuuvvvvvvvvvwwwyyy{{{}}}~~~~~~~~~}}}||||||}}}}}}~~~}}}wwwqqqkkkggghhhkkksss}}}yyyuuuvvvyyy{{{}}}||||||yyyvvvvvvyyy{{{}}}yyyvvvvvvwwwxxxyyyyyyyyyxxxvvvuuuooolllgggccccccgggkkkooopppooonnnkkkhhhdddaaa```ZZZZZZZZZZZZZZZZZZZZZZZZVVVVVVVVVVVVUUUSSSRRRRRRQQQPPPNNNLLLJJJKKKKKKLLLKKKKKKLLLMMMOOOQQQSSSTTTVVVXXX[[[^^^aaacccddddddiiijjjkkkjjjjjjjjjlllmmmllllllnnnoooqqqqqqrrrrrrooommmkkkkkkkkkkkkjjjiiigggfffeeedddeeeggghhhjjjhhhhhhiiiiiijjjkkkllllllkkkjjjkkklllnnnqqqrrrrrrsssuuu{{{rrrbbbVVVMMMGGGCCCCCCCCCDDDDDDEEEFFFGGGKKKKKKLLLMMMNNNNNNMMMLLLOOOSSSWWW[[[___hhhttt}}}uuullleeecccfffoooxxxtttpppmmmpppvvvoooccc\\\TTTPPPQQQQQQOOOMMMKKKJJJJJJJJJKKKJJJJJJJJJIIIIIIHHHHHHGGGGGGHHHHHHIIIJJJJJJIIIIIIKKKJJJIIIHHHFFFEEEDDDCCCBBBBBBCCCCCCDDDDDDEEEEEEEEEDDDCCCBBBAAA@@@@@@@@@CCCBBBBBBBBBDDDEEEGGGHHHGGGGGGFFFFFFFFFEEEEEEEEECCCCCCCCCCCCBBBBBBBBBBBBAAAAAAAAAAAAAAAAAAAAAAAA555777888888777666666777777777777888888888999999;;;;;;::::::::::::999999888888777777888888999:::999999999:::;;;===@@@AAADDDIIIUUUfffwww}}}zzzxxxpppqqq{{{~~~}}}vvvrrrpppxxx|||lll[[[TTTOOOOOOPPPMMMLLLMMMNNNNNNMMMMMMOOOPPPRRRTTTVVVYYY^^^bbbgggmmmsssxxx}}}~~~|||zzzttttttsssrrrpppmmmjjjhhheeedddcccaaa```^^^]]]\\\[[[[[[ZZZXXXUUUSSSSSSUUUWWWWWWVVVVVVVVVVVVVVVVVVYYYZZZ[[[ZZZXXXWWWXXXYYY]]]]]]]]]^^^^^^_________^^^\\\[[[[[[]]]]]][[[ZZZZZZ[[[\\\[[[ZZZYYYZZZ\\\]]]^^^____________aaaccceeefffhhhjjjlllmmmnnnnnnpppppprrrsssssssssrrrqqqsssrrrqqqpppoooooooooooosssuuuwwwyyy{{{||||||{{{~~~~~~~~~}}}|||{{{{{{{{{|||}}}zzzzzz{{{}}}~~~}}}|||{{{|||}}}{{{uuuoookkkhhhjjjnnnvvv|||wwwtttuuuxxx{{{}}}|||~~~}}}{{{zzzwwwuuusssuuuyyy}}}zzzuuuqqqppppppqqqrrrttttttsssqqqnnnlllhhhfffcccaaaaaacccfffiiiiiihhhfffdddaaa^^^\\\ZZZTTTUUUVVVWWWXXXWWWVVVVVVQQQQQQQQQQQQOOONNNMMMLLLKKKKKKJJJIIIJJJKKKLLLMMMLLLMMMPPPSSSVVVYYY[[[]]]]]]```cccgggjjjkkkkkkkkklllmmmnnnmmmlllkkklllmmmmmmmmmnnnnnnnnnnnnnnnmmmjjjhhhggggggiiijjjjjjiiiggggggeeeeeeeeefffggghhheeeeeeggghhhiiikkkllllllhhhiiikkknnnqqquuuxxxyyy|||~~~fffVVVQQQNNNHHHAAABBBBBBBBBDDDEEEGGGIIIJJJKKKKKKLLLLLLMMMMMMNNNNNNUUUZZZ___dddjjjuuuyyykkk___```dddkkkttt{{{yyyyyyzzzzzzxxxccc[[[XXXSSSQQQSSSOOONNNLLLJJJIIIIIIIIIJJJIIIIIIIIIIIIIIIIIIIIIIIIIIIJJJJJJIIIIIIHHHGGGFFFIIIIIIHHHGGGFFFEEEDDDCCCAAAAAABBBCCCDDDDDDEEEEEEFFFEEECCCBBBAAA@@@??????AAAAAAAAABBBCCCDDDEEEFFFFFFFFFFFFFFFEEEEEEEEEEEECCCCCCBBBBBBBBBAAAAAAAAA@@@@@@@@@@@@@@@@@@@@@@@@555777888888777666666777777777777777888888888888;;;:::::::::::::::::::::888888777777888888999:::===<<<;;;:::999999::::::AAADDDLLLZZZjjjyyy|||}}}~~~zzz~~~wwwgggVVVNNNKKKJJJIIIKKKJJJJJJJJJKKKLLLNNNPPPQQQRRRUUUXXX\\\```eeekkkooouuuzzz~~~xxxxxxxxxvvvtttqqqnnnlllgggfffeeedddbbb```___^^^^^^^^^\\\YYYUUUTTTUUUVVVXXXXXXXXXXXXXXXWWWWWWWWWXXXYYY[[[[[[YYYXXXYYYYYY\\\\\\]]]]]]^^^___``````^^^]]]\\\\\\\\\\\\\\\[[[\\\]]]^^^]]]\\\ZZZ[[[\\\ZZZ[[[\\\[[[ZZZ[[[]]]^^^bbbcccdddfffhhhiiiiiiiiigggiiikkkmmmnnnmmmlllkkkllllllkkkkkkkkkllllllmmmpppqqqsssuuuwwwxxxyyyyyy}}}~~~{{{zzzzzz~~~}}}zzzxxxvvvvvvwwwxxxxxxxxxxxxzzz|||~~~|||{{{zzzxxxxxxyyy{{{||||||xxxrrrmmmjjjiiilllrrr{{{}}}yyyvvvtttvvvzzz|||~~~~~~~~~{{{xxxvvvuuutttrrrppppppsssyyy}}}~~~|||wwwrrrnnnlllkkklllkkkmmmnnnnnnmmmjjjfffdddbbbbbbaaa```aaabbbcccdddbbbbbbaaa___\\\ZZZXXXVVVPPPRRRSSSTTTTTTSSSQQQOOONNNNNNNNNNNNMMMLLLJJJJJJJJJJJJKKKLLLMMMPPPRRRSSSVVVWWWYYY[[[]]]___```aaaccceeeiiimmmooopppoooooommmnnnppppppnnnnnnoooppprrrqqqpppooonnnmmmlllllliiihhhfffggghhhjjjiiiiiiggggggfffeeeeeeeeeffffffcccdddeeefffgggiiijjjjjjhhhjjjmmmqqquuuzzzuuueeeRRRHHHHHHJJJGGGBBBEEEEEEEEEGGGHHHJJJLLLMMMJJJKKKMMMNNNOOOQQQTTTVVV]]]ccckkkrrrzzz|||jjjbbb^^^cccmmm{{{|||xxxzzzrrr___ZZZYYYTTTRRRTTTNNNMMMLLLKKKJJJJJJJJJJJJHHHHHHIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIHHHHHHGGGFFFHHHHHHGGGFFFEEEDDDDDDDDD@@@AAABBBBBBCCCDDDEEEEEEDDDCCCBBBBBBAAAAAAAAAAAAAAABBBBBBCCCCCCDDDEEEEEEFFFFFFEEEEEEEEEDDDDDDDDDBBBBBBBBBBBBAAAAAAAAA@@@????????????@@@@@@@@@@@@555666888888666555666777666666777777777888888888::::::::::::::::::::::::888888777777888888999:::======<<<;;;:::999999999???CCCIIIQQQ\\\lll}}}}}}zzz~~~eeeQQQIIIFFFFFFIIIGGGGGGHHHIIIKKKLLLMMMNNNPPPRRRUUUXXX[[[___dddhhhnnnrrrwww}}}~~~~~~}}}{{{yyyuuurrrpppiiiiiigggfffdddcccaaaaaaaaaaaa___\\\YYYWWWXXXYYYYYYYYYXXXXXXWWWWWWWWWVVVVVVXXXZZZ[[[ZZZZZZ[[[\\\[[[[[[\\\]]]^^^``````aaa^^^^^^^^^^^^]]]\\\]]]]]]]]]___``````^^^\\\\\\\\\YYYZZZ[[[ZZZYYYYYYZZZ\\\^^^___```bbbccccccccccccaaabbbeeeggghhhhhhgggffffffffffffggghhhjjjkkkllllllmmmnnnppprrrtttuuuuuuzzz|||}}}}}}zzzyyyxxxyyy~~~|||yyyvvvuuutttuuuvvvxxxwwwwwwwwwwwwyyyzzz|||}}}{{{yyyvvvuuuuuuvvvvvvyyyyyyxxxtttnnnjjjiiijjjnnnuuuzzzxxxuuuuuuxxx{{{}}}~~~~~~|||zzzwwwtttqqqpppnnnnnnmmmllllllpppuuuyyyvvvsssnnnjjjhhhhhhhhhiiifffggghhhhhhfffccc```^^^^^^^^^______````````````]]]]]]\\\[[[YYYWWWUUUTTTOOOPPPQQQRRRQQQOOOLLLKKKJJJKKKKKKLLLLLLKKKKKKKKKMMMNNNOOOQQQTTTVVVXXXYYY___```bbbdddeeefffffffffgggiiilllnnnpppppppppooolllnnnpppqqqqqqqqqrrrssstttsssqqqnnnmmmlllkkkkkkmmmkkkiiiiiijjjjjjiiihhhfffffffffeeeeeeeeeeeeeeecccddddddeeefffggghhhhhhhhhlllqqqvvv{{{ppp\\\UUULLLGGGFFFGGGFFFEEEHHHHHHHHHIIIJJJKKKLLLMMMMMMOOOQQQRRRSSSWWW\\\```dddooo|||ooofffdddiiippp|||~~~xxxvvv{{{ppp]]]XXXVVVQQQMMMOOONNNMMMMMMLLLKKKKKKKKKKKKHHHHHHIIIIIIIIIIIIIIIIIIGGGGGGHHHHHHIIIHHHHHHHHHFFFFFFFFFEEEEEEDDDDDDDDDAAAAAAAAABBBCCCDDDDDDEEEAAAAAAAAAAAABBBBBBCCCDDDBBBCCCCCCDDDEEEEEEEEEEEEEEEEEEEEEDDDDDDDDDCCCCCCBBBAAAAAAAAA@@@@@@@@@@@@>>>>>>>>>??????@@@@@@@@@444666777777666555555666666666666777777777888888888888999999999999::::::888888777777888888999:::888999:::;;;<<<<<<======;;;@@@EEEIIIOOO^^^uuu}}}}}}zzz___OOOFFFEEEGGGDDDEEEFFFHHHIIIKKKLLLMMMNNNPPPRRRTTTVVVYYY^^^aaagggjjjnnnsssyyy{{{wwwuuummmlllkkkiiigggfffeeedddcccdddcccaaa^^^\\\\\\]]]YYYYYYXXXXXXWWWVVVVVVVVVVVVXXXZZZZZZZZZZZZ\\\^^^ZZZ[[[\\\]]]___```aaabbb___```aaa```^^^]]]^^^___\\\^^^``````^^^\\\\\\\\\\\\]]]]]]\\\ZZZZZZ[[[]]]\\\\\\]]]]]]]]]]]]]]]\\\]]]^^^___aaabbbbbbaaaaaa___```aaabbbdddfffhhhjjjggghhhiiijjjlllmmmoooooovvvwwwxxxxxxvvvuuuuuuvvvzzzyyywwwuuusssssssssssstttsssrrrqqqqqqrrrsssttt{{{|||}}}~~~~~~}}}|||zzzwwwtttrrrqqqqqqrrrssstttsssooojjjggghhhjjjqqqwwwvvvtttssstttvvvyyy{{{{{{}}}{{{wwwsssoookkkiiihhhgggggggggggggggiiimmmqqqllliiieeeddddddddddddddd```aaa``````^^^\\\ZZZYYYYYYZZZ[[[\\\]]]]]]\\\\\\XXXXXXXXXWWWUUUTTTSSSRRRNNNNNNOOOOOONNNMMMKKKJJJHHHIIIJJJLLLNNNOOOOOOPPPSSSTTTVVVXXX[[[]]]___```eeegggiiikkkmmmnnnnnnnnnlllmmmmmmnnnooooooooooookkknnnqqqssssssssstttuuuqqqpppmmmkkkiiiiiiiiiiiipppmmmkkkjjjjjjjjjiiigggeeeeeeeeeeeeeeeeeeeeeeeeddddddeeeggghhhjjjkkkkkklllqqqxxxiiiZZZLLLLLLJJJHHHFFFEEEFFFGGGHHHHHHHHHIIIJJJKKKMMMMMMMMMPPPRRRTTTVVVZZZbbbhhhsss{{{ppphhhiiioooxxxuuuqqqqqqzzzttt```ZZZVVVPPPLLLMMMMMMMMMMMMLLLLLLLLLKKKKKKIIIIIIIIIIIIIIIIIIIIIIIIEEEEEEGGGHHHIIIIIIIIIIIIEEEEEEEEEDDDDDDDDDDDDDDDBBBBBBBBBBBBBBBCCCCCCCCC??????@@@AAABBBCCCEEEFFFBBBCCCDDDEEEEEEEEEEEEDDDDDDDDDDDDDDDCCCCCCCCCCCCAAAAAAAAA@@@@@@@@@??????=========>>>??????@@@@@@444666777777666555555666666666666666777777777888777777777888888999999999888888777777888888999:::555666888:::<<<===>>>>>>999===AAABBBEEEQQQeeeuuu|||zzzqqq\\\MMMFFFEEECCCDDDEEEGGGIIIJJJKKKLLLKKKLLLNNNOOOQQQTTTXXX[[[___bbbfffjjjnnnsssyyy}}}}}}zzzqqqpppooommmllljjjiiihhheeefffgggeeecccaaaaaaaaa\\\\\\[[[[[[ZZZYYYYYYYYYYYYZZZZZZYYYYYYYYY\\\^^^YYYZZZ[[[]]]___aaabbbccc```bbbcccbbb___^^^___aaa\\\___aaaaaa```^^^]]]]]]`````````___]]]]]]^^^___]]]]]]]]]]]]\\\[[[ZZZYYYZZZZZZZZZ[[[[[[\\\\\\\\\[[[[[[[[[]]]^^^```bbbcccbbbbbbcccdddeeefffggghhhlllmmmooonnnmmmmmmnnnoooppppppoooooonnnmmmmmmmmmkkkkkkjjjjjjjjjkkkmmmnnnsssuuuvvvxxxyyyyyyxxxxxxwwwuuussspppnnnnnnnnnooommmoooooolllgggdddfffjjjrrrxxx}}}yyywwwpppooonnnooorrrtttuuuuuuxxxuuupppjjjeeebbbaaa```___```aaaaaaaaabbbdddgggbbb```^^^^^^``````^^^\\\[[[ZZZYYYXXXVVVVVVUUUUUUSSSSSSUUUVVVWWWWWWWWWVVVRRRRRRRRRRRRQQQPPPNNNNNNKKKLLLLLLLLLMMMMMMNNNNNNJJJKKKNNNRRRUUUWWWYYYZZZ]]]^^^```bbbdddfffggghhhkkkmmmooorrrsssssssssrrrqqqqqqooonnnnnnnnnoooooommmooossstttsssrrrssssssnnnmmmkkkiiihhhhhhhhhiiinnnllliiiiiiiiiiiihhhfffcccddddddeeeffffffffffffccceeegggiiillloooqqqsssssszzzwwweeeVVVNNNFFFGGGHHHGGGFFFFFFGGGHHHGGGHHHIIIJJJLLLOOOQQQRRROOOSSSYYY]]]bbbjjjuuu~~~rrrkkkggggggsss|||yyy|||rrrrrrssswwwxxxccc[[[XXXQQQNNNOOOKKKKKKLLLLLLKKKKKKJJJJJJJJJJJJJJJIIIIIIHHHHHHGGGEEEEEEFFFHHHHHHIIIIIIHHHDDDDDDDDDDDDDDDDDDDDDDDDCCCCCCBBBBBBBBBBBBAAAAAA@@@@@@@@@AAABBBCCCDDDEEEAAABBBCCCDDDDDDDDDCCCCCCDDDDDDDDDCCCCCCCCCBBBBBB@@@@@@@@@@@@????????????<<<<<<======>>>??????@@@444666777777666555555666666666666666777777777777666666777777888888888999888888888777888999999:::666777888::::::;;;;;;;;;:::===>>>>>>???HHHWWWccc|||zzzrrrrrrzzzhhhSSSGGGCCCBBBCCCEEEGGGIIIJJJKKKKKKHHHIIIKKKLLLMMMOOOSSSVVVYYY\\\```dddgggkkkppptttyyy~~~tttsssrrrpppooommmlllkkkeeegggiiiiiifffdddccccccaaaaaa``````___^^^]]]]]]\\\\\\[[[YYYWWWXXXZZZ]]]YYYZZZ[[[]]]___aaabbbcccaaacccdddccc```___```bbb^^^```cccdddbbbaaa``````bbbccccccaaa______```aaa`````````___^^^\\\[[[ZZZXXXXXXWWWWWWWWWXXXYYYZZZXXXXXXXXXYYYZZZ[[[\\\]]]____________```aaacccccccccdddffffffeeeeeeggghhhgggggghhhhhhhhhgggffffffddddddddddddeeegggiiijjjnnnoooqqqssstttttttttssssssrrrooommmllllllmmmnnnjjjlllmmmjjjdddcccfffiiisssxxx}}}{{{uuuqqqppplllkkkjjjlllnnnpppqqqpppssspppjjjddd___\\\ZZZZZZZZZ[[[]]]]]]]]]]]]^^^___\\\[[[ZZZ[[[]]]\\\YYYUUUXXXVVVTTTSSSRRRRRRRRRSSSNNNOOOPPPQQQRRRRRRRRRRRRNNNNNNNNNNNNMMMLLLKKKJJJIIIIIIJJJKKKMMMOOOQQQRRRNNNPPPTTTXXX\\\```bbbccceeegggiiikkkmmmnnnooooooqqqrrrtttuuuvvvuuusssrrrvvvtttqqqooonnnnnnooopppoooqqqtttuuusssrrrqqqqqqnnnmmmjjjiiihhhhhhjjjkkkkkkiiiggggggggghhhgggfffbbbcccdddeeeffffffffffffccceeehhhlllppptttwwwyyy{{{~~~kkk^^^UUUMMMIIIFFFEEEEEEEEEGGGHHHIIIJJJHHHIIIKKKMMMPPPSSSVVVWWWWWW]]]eeellluuuuuulllfffffffffjjjyyyqqqnnnpppwwwyyyuuu```XXXUUUPPPMMMOOOJJJJJJJJJKKKJJJJJJIIIIIIKKKKKKJJJIIIHHHHHHGGGGGGFFFFFFGGGHHHHHHHHHGGGGGGCCCCCCCCCDDDDDDDDDDDDDDDDDDCCCCCCBBBBBBAAA@@@@@@BBBBBBAAAAAAAAABBBCCCCCC@@@AAABBBCCCCCCCCCBBBAAADDDDDDCCCCCCCCCBBBBBBBBB@@@@@@@@@????????????>>>;;;<<<<<<===>>>??????@@@555555555555555555444444777777777777888888888888777777777777777777777777999888777888999999888777999999999888999999::::::<<<<<<;;;===@@@FFFKKKOOOdddvvvzzzoooiiilllrrr|||}}}```LLLFFFBBBBBBAAA??????AAAEEEHHHGGGIIILLLNNNNNNPPPTTTXXXXXXYYY[[[]]]^^^aaaeeehhhwww}}}|||zzzwwwtttrrrpppppppppkkkkkkjjjiiihhhgggffffffccccccbbbbbbaaa`````````\\\\\\[[[ZZZYYYXXXWWWWWWYYYYYYYYY[[[\\\^^^```bbbccccccaaa``````aaabbbccccccddddddcccaaa```aaabbbaaaaaabbbccccccccccccbbb```aaabbbbbbaaa```___^^^[[[[[[[[[[[[ZZZZZZYYYXXXQQQRRRSSSTTTVVVWWWYYYYYYZZZYYYXXXXXXXXXZZZ]]]^^^^^^^^^^^^^^^^^^___```aaaaaabbbdddeeeeeedddbbbaaaaaaaaa```______```aaabbbdddfffiiillloooppppppoooooonnnmmmkkkiiigggeeeeeeddddddcccbbbaaacccgggjjjsssttttttrrroookkkiiiiiieeefffhhhiiiiiihhhgggeeefffdddaaa\\\YYYWWWUUUUUURRRSSSTTTVVVWWWXXXXXXXXXVVVVVVVVVVVVVVVUUUTTTSSSRRRQQQOOONNNMMMNNNNNNOOOPPPPPPOOOOOOOOOOOOPPPPPPNNNMMMKKKJJJJJJKKKLLLMMMJJJJJJKKKMMMPPPSSSVVVXXXZZZ\\\```dddhhhkkklllmmmooooooppppppqqqrrrssssssuuutttuuuwwwyyyzzzzzzxxxvvvtttsssssstttuuusssrrrsssssssssrrrpppnnnkkkjjjjjjiiihhhgggffffffffffffkkkjjjiiiiiijjjiiigggeeefffgggiiiiiigggffffffgggjjjjjjlllooouuu{{{tttcccXXXSSSPPPJJJEEEIIIGGGFFFFFFHHHIIIIIIHHHOOOOOOOOOPPPSSSXXX]]]aaagggiiiqqqwwwiii______ccchhhkkkuuurrrkkkfffdddjjjvvv|||tttsssxxx}}}tttcccVVVQQQPPPOOOMMMKKKIIIHHHHHHJJJKKKKKKJJJJJJJJJIIIIIIIIIHHHHHHHHHFFFFFFFFFGGGGGGHHHHHHHHHFFFEEEEEEEEEEEEDDDAAA>>>AAAAAAAAABBBBBBCCCCCCCCC?????????@@@AAABBBCCCDDDCCCCCCBBBAAA@@@@@@@@@@@@CCCCCCCCCBBBBBBAAAAAAAAAAAA@@@>>>===<<<<<<<<<============>>>??????@@@@@@555555555555555555555555555555555666666666777777777777777777777777777777999888777777999999888777999999888888999999::::::<<<<<<;;;<<>>===<<<<<<======?????????>>>>>>>>>>>>>>>555555555555555555555555333333444444444555555555777777777777777777777777999888777777999999888777999999888888999999:::;;;<<<<<<<<<<<<===>>>???@@@HHHPPP^^^nnnzzz{{{nnnfff___cccqqquuu___RRRGGGFFFEEECCCCCCCCCDDDDDDDDDFFFHHHIIIIIIJJJLLLNNNQQQSSSUUUVVVXXXZZZ^^^```bbbgggmmmrrrwww||||||yyyvvvuuuqqqqqqrrrrrrrrrpppooonnnllllllkkkiiigggfffeeedddbbbbbbaaa___^^^\\\[[[[[[XXXYYY[[[]]]^^^^^^^^^^^^cccbbbaaa___^^^]]]\\\\\\```bbbbbbbbb___^^^^^^___aaaaaabbbccccccccccccbbbbbbbbbdddeeeeeedddccccccaaaaaaaaaaaa```___^^^^^^[[[[[[ZZZYYYYYYXXXXXXWWWXXXWWWUUUTTTTTTTTTUUUVVVRRRSSSTTTUUUVVVUUUTTTTTTTTTUUUWWWXXXYYYXXXWWWWWWYYYYYYXXXWWWVVVVVVWWWWWWWWWXXX[[[^^^aaabbbccccccbbbaaa```___]]]\\\[[[ZZZZZZZZZZZZYYYXXXYYY\\\___bbbccccccaaa^^^[[[ZZZZZZ[[[[[[\\\\\\\\\[[[YYYXXXZZZXXXUUURRROOOMMMLLLKKKKKKLLLLLLMMMNNNOOOPPPPPPMMMMMMMMMLLLKKKJJJHHHGGGKKKKKKJJJJJJJJJKKKLLLLLLNNNNNNMMMMMMMMMMMMNNNNNNNNNOOOPPPQQQQQQQQQQQQQQQWWWWWWYYY[[[___bbbeeegggggghhhiiikkkmmmooorrrsssttttttuuuvvvwwwwwwwwwwwwtttsssrrrrrrttttttsssrrrqqqooonnnnnnoooooonnnmmmlllllllllkkkjjjiiigggfffkkkjjjjjjiiiiiiiiijjjjjjfffffffffhhhjjjjjjhhhfffaaabbbcccddddddfffiiikkkoootttzzz~~~lll^^^PPPNNNJJJGGGFFFGGGIIIKKKGGGGGGHHHIIIJJJKKKKKKLLLRRRUUUYYY___gggrrr}}}wwwjjj```]]]^^^]]]aaalllpppbbbWWWXXXaaannnnnneeeaaa___```ccceee___VVVQQQPPPOOOMMMKKKMMMKKKJJJJJJKKKLLLKKKJJJIIIHHHHHHHHHHHHGGGGGGGGGIIIIIIHHHHHHGGGFFFFFFFFFGGGEEECCCBBBCCCCCCBBB@@@AAAAAAAAAAAABBBBBBBBBBBBCCCBBBAAAAAA@@@@@@@@@AAAAAAAAAAAAAAABBBCCCDDDEEEBBBBBBBBBBBBAAAAAAAAAAAAAAA@@@???>>>============@@@@@@??????>>>======<<<444444444555555555555555333333444444444555555555777777777777777777777777999777666777888999888777888888888888999:::;;;;;;:::;;;;;;<<<<<<<<<<<<<<>>>>>>>>>>>????????????>>>>>>======444444444555555555666666444444555555555666666666666666666666666666666666888777666777888888777666888888888888999:::;;;<<<999:::;;;<<<======<<<<<<<<<>>>EEEOOOWWWbbbtttxxxlllbbb___cccmmmttt{{{xxxpppbbb\\\TTTMMMJJJGGGEEECCCEEEDDDDDDDDDFFFGGGIIIIIIKKKMMMPPPRRRSSSTTTWWWYYYXXX\\\```cccgggmmmuuu|||}}}}}}}}}|||zzzwwwuuutttpppooonnnllliiigggeeedddfffeeedddcccaaa```___^^^[[[\\\^^^``````^^^]]][[[ZZZ[[[[[[[[[[[[[[[[[[[[[[[[]]]aaabbbcccbbbcccdddaaaaaabbbccccccccccccbbbcccdddeeefffggggggfffeeedddeeeeeefffffffffeeeeeedddddddddccccccccccccccc^^^]]]\\\ZZZYYYXXXWWWWWWRRRSSSUUUVVVVVVUUUSSSRRRPPPPPPQQQQQQQQQQQQQQQPPPRRRRRRRRRRRRRRRQQQPPPPPPQQQRRRSSSUUUVVVXXXYYYYYYYYYXXXXXXWWWVVVUUUUUUTTTSSSTTTTTTTTTRRRSSSUUUWWWTTTUUUUUUTTTQQQPPPQQQRRRQQQQQQQQQQQQQQQPPPOOOOOOQQQPPPOOONNNLLLJJJIIIHHHIIIHHHHHHHHHHHHJJJKKKLLLJJJKKKKKKKKKKKKJJJIIIIIILLLLLLMMMMMMNNNNNNNNNNNNLLLMMMOOOQQQTTTWWWZZZ\\\\\\]]]___```aaaaaaaaa```cccdddgggiiilllnnnpppqqqppppppooooooppprrrtttuuuwwwxxxyyyzzzzzzzzzyyyxxxuuusssqqqpppppppppooonnnnnnmmmllllllmmmmmmllljjjjjjjjjiiiiiiiiiiiiiiiiiikkkkkkkkkkkklllnnnooopppooonnnmmmnnnooopppnnnmmmkkkkkkkkkkkklllqqqxxx}}}wwwfffZZZSSSNNNLLLGGGIIIKKKIIIEEEDDDGGGJJJJJJLLLNNNNNNNNNPPPSSSVVVZZZaaammmyyyqqqjjjccc___\\\\\\aaaiii~~~pppbbb\\\\\\aaammm}}}llleee___^^^\\\VVVSSSSSSSSSRRRQQQQQQOOOMMMJJJHHHKKKIIIGGGGGGHHHHHHGGGFFFGGGFFFFFFFFFFFFEEEEEEEEEDDDDDDEEEEEEFFFGGGHHHHHHGGGDDDBBBAAAAAABBBBBBBBBAAAAAAAAAAAAAAAAAAAAAAAA@@@@@@@@@@@@AAABBBCCCDDDEEEDDDCCCBBBBBBBBBBBBBBBAAAAAAAAAAAAAAAAAAAAAAAA@@@@@@@@@@@@@@@?????????======>>>>>>????????????333333444444555666666666555666666666666777777777666666666666666666666666888777666666888888777666777777777888999:::;;;<<<999999;;;<<<<<<======<<<;;;<<>>??????@@@@@@333333444444555666666777555555666666666777777777666666666666666666666666888666555666777888777666777777777888999:::<<<===:::::::::::::::;;;;;;;;;:::999<<>>>>>>>>>>>>>>?????????333333444444555666777777555555555666666666666777666666666666666666666666888666555666777888777666777777777888999;;;<<<===;;;;;;:::999888888999999:::666888>>>???AAAPPPccczzz|||yyyqqqtttvvvvvv{{{wwwaaaYYYNNNGGGCCCCCCBBBAAADDDGGGKKKMMMMMMNNNOOOPPPPPPTTTWWWXXXXXXYYY]]]aaaaaafffmmmrrrwww}}}wwwvvvuuutttrrrpppooooooiiiiiiiiiiiiiiiiiiiiiiiieeedddcccaaa````````````bbbbbbcccccccccbbb```___[[[^^^aaabbbaaa___^^^]]]aaaaaabbbccccccccccccbbbbbbccccccdddcccbbb```___\\\^^^```bbbeeefffggghhhjjjiiiiiiiiihhhggggggggghhhhhhhhhgggfffeeeccccccfffeeedddccccccccccccdddeeedddbbb```^^^]]]\\\\\\UUUWWWXXXZZZ[[[[[[[[[[[[YYYXXXWWWVVVVVVVVVVVVVVVWWWWWWWWWWWWWWWWWWVVVVVVRRRTTTTTTTTTRRRRRRSSSTTTSSSSSSSSSSSSRRRRRRUUUWWWTTTTTTTTTUUUVVVWWWXXXYYY[[[[[[\\\\\\[[[ZZZYYYWWWTTTSSSQQQPPPPPPRRRTTTUUUYYYZZZ]]]aaadddggghhhiiiggghhhiiiiiihhhgggfffeeeaaaaaabbbdddgggiiilllmmmpppooonnnmmmmmmnnnoooooommmnnnpppqqqrrrrrrrrrrrrqqqrrrtttuuuvvvvvvvvvuuurrrsssvvvwwwwwwuuusssqqqpppmmmjjjiiiiiijjjkkkjjjkkkjjjiiiiiijjjjjjiiihhhiiiiiihhhhhhjjjkkkmmmnnnhhhhhhiiikkkmmmoooqqqsssvvvssspppqqqvvv|||~~~lll\\\SSSLLLFFFDDDIIIKKKGGGDDDDDDIIIIIIHHHHHHJJJLLLMMMNNNPPPSSSWWW[[[```kkkyyyzzznnnddd```]]]cccpppzzzmmmiiilllhhhsss~~~qqqhhhddd```ZZZUUUTTTRRRNNNNNNQQQOOOOOONNNMMMLLLLLLNNNPPPLLLJJJHHHGGGHHHHHHGGGFFFEEEDDDDDDDDDCCCCCCCCCCCCAAAAAABBBBBBBBBBBBBBBBBBBBBAAABBBCCCDDDCCCAAA???AAAAAAAAA@@@@@@?????????BBBBBBAAAAAA@@@@@@AAAAAA@@@@@@@@@@@@AAABBBCCCCCC?????????@@@@@@AAAAAAAAA???@@@AAABBBBBBBBBAAA@@@@@@@@@??????>>>=========333444444555555444444333444444333333333444444555777666666555555555666666666666666666777777777777:::999999888777666555555888888999:::;;;;;;<<<<<<:::;;;::::::<<>>>>>>>>>>>??????444555555666666555555444888777666555555555555555666666555555555555666666555666666666777777777777888888888777777777777777666666777777888888999999:::;;;:::::::::===BBBFFFSSSaaasss~~~sssoooqqqvvv~~~oooZZZNNNHHHCCC???@@@BBBEEEHHHLLLNNNPPPPPPSSSSSSSSSTTTUUUVVVWWWXXX[[[\\\___ccchhhmmmqqqttt{{{{{{xxxvvvtttrrrsssrrrpppnnnlllkkkjjjjjjiiiiiihhhgggfffdddcccbbbeeedddcccccccccccc```^^^___```aaaaaaaaa```^^^^^^^^^]]]^^^^^^___```aaabbbcccdddeeeffffffeeedddddd___```aaabbbccceeeffffffeeeeeeeeeeeeeeeeeeddddddggghhhhhhiiihhhgggfffeeehhhhhhhhhhhhiiijjjkkkkkklllkkkiiihhhffffffeeeeeeeeeeeeddddddddddddeeeeeeffffffeeedddcccbbbaaaaaa```````````````aaabbbccc``````````````````___^^^bbbaaa`````````aaacccdddffffffeeeeeeeeeffffffgggkkkkkkjjjiiiiiihhhgggggg```\\\WWWSSSRRRUUUZZZ]]]cccfffjjjmmmnnnoooqqqrrrrrrpppnnnoooppppppnnnlllmmmkkkiiijjjmmmppppppooopppooommmlllmmmnnnqqqrrrqqqqqqrrrrrrrrrrrrqqqqqqqqqrrrrrrsssrrrqqqpppooommmmmmnnnnnnmmmllljjjiiiiiijjjiiihhhffffffhhhjjjkkkiiigggeeeeeeeeefffgggeeefffggghhhjjjjjjkkkkkkkkkjjjjjjjjjkkkmmmoooqqqvvvwww{{{yyyhhh[[[RRRMMMIIIFFFEEEEEEDDDDDDDDDDDDDDDCCCHHHFFFHHHLLLMMMKKKLLLPPPUUUXXXbbbppp}}}ssshhh``````^^^YYY]]]fffkkkyyywww|||rrrjjjccc^^^^^^ZZZWWWTTTRRRRRRQQQPPPOOOLLLKKKKKKKKKKKKKKKKKKLLLLLLJJJIIIHHHHHHHHHFFFDDDEEEEEEDDDCCCCCCCCCCCCCCCCCCCCCCCCBBBBBBBBBAAAAAABBBBBBBBBBBBCCCCCCCCCCCCAAAAAAAAAAAAAAAAAAAAAAAACCCBBBBBBBBBBBBAAAAAAAAACCCBBBAAA@@@??????@@@AAA@@@AAABBBCCCCCCDDDDDDCCCEEEDDDCCCBBBAAA@@@@@@?????????>>>>>>>>>>>>??????555666666666666666666555999888777666555444444444666555555555555555666666555555666666666777777777666666666777777888888888666666666666666666666666999::::::999999:::<<<>>>HHHRRRaaapppzzz~~~~~~}}}{{{|||~~~qqqllllllqqqvvvwwwuuuwwwnnn^^^SSSJJJDDD???@@@AAACCCEEEGGGIIIIIIOOOPPPQQQRRRSSSSSSTTTTTTWWWXXXZZZ]]]```dddggghhhqqquuu|||~~~|||zzzxxxxxxwwwtttrrrpppnnnmmmlllkkkkkkjjjjjjhhhgggeeedddfffeeedddeeefffeeedddbbb``````aaaaaa``````___^^^^^^^^^^^^___```aaacccdddeeeeeefffffffffeeeddddddbbbbbbccccccdddeeeeeefffeeeeeeeeeddddddeeeffffffggghhhiiijjjjjjjjjiiiiiiiiiiiiiiiiiijjjkkklllllllllkkkiiihhhhhhiiikkkllljjjiiiiiihhhhhhiiiiiijjjkkkkkkkkkjjjiiihhhgggfffccccccccccccccccccdddddddddeeefffgggggggggggggggjjjjjjiiihhhiiijjjkkklllllllllkkkkkkkkkkkkkkkllllllllllllkkkkkkjjjjjjiiiccc^^^XXXSSSSSSWWW]]]bbbiiilllooopppqqqqqqrrrssssssrrrqqqrrrssssssrrrqqqpppnnnmmmmmmoooppppppoooooonnnlllkkklllmmmooopppqqqqqqrrrrrrrrrrrrqqqqqqqqqqqqqqqqqqpppooonnnmmmjjjjjjjjjjjjjjjjjjjjjiiijjjjjjiiigggdddccceeeffffffeeedddddddddeeeggghhhgggggghhhiiikkkkkklllmmmkkkmmmnnnmmmmmmpppuuuzzztttccc[[[RRRKKKIIIHHHGGGEEEDDDDDDDDDEEEEEEEEEEEEEEEEEEEEEGGGLLLMMMMMMOOOTTTZZZbbbrrruuuiii___YYYWWWZZZZZZ\\\iiixxxzzzsssmmmpppwww|||mmmfffbbb^^^\\\\\\WWWUUURRRQQQQQQPPPNNNMMMKKKKKKJJJJJJJJJJJJKKKKKKLLLJJJHHHGGGFFFEEECCCAAAEEEEEEDDDCCCCCCCCCCCCCCCCCCCCCCCCBBBBBBBBBBBBAAACCCCCCCCCCCCBBBBBBBBBBBBAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBAAAAAAAAAAAABBBAAA@@@??????@@@AAAAAA???@@@AAABBBBBBCCCCCCBBBDDDDDDCCCBBBAAA@@@?????????>>>>>>======>>>>>>???555555666666666666555555666555444333333333333333555555444444444555666666555555555666666666777777666666777777777777777777777777777777777777666666888999::::::888888999;;;AAAEEEOOO___ooo{{{}}}}}}}}}~~~}}}vvvjjjeeedddddddddbbbdddllluuu}}}pppbbbWWWPPPEEECCC@@@>>>???AAADDDFFFJJJLLLNNNPPPRRRRRRRRRRRRTTTTTTVVVWWWYYY\\\]]]^^^ggglllsssxxx|||~~~}}}zzzwwwtttqqqpppooonnnnnnnnnmmmkkkjjjhhhggggggffffffggghhhiiigggfffcccccccccccccccbbbbbbaaaaaaaaabbbbbbccceeefffgggfffffffffeeedddccccccbbbcccccccccdddddddddeeeeeefffeeeeeedddeeefffggghhhfffggghhhiiijjjkkkkkkkkkjjjjjjiiiiiijjjkkkllllllmmmkkkiiihhhiiikkkmmmooommmmmmllllllllllllmmmmmmllllllllllllkkkiiihhhgggffffffeeeeeeeeeeeeffffffjjjjjjkkkllllllllllllkkkmmmmmmlllllllllmmmnnnooooooooonnnnnnmmmmmmnnnnnnllllllkkkkkkjjjjjjjjjjjjfffaaaYYYTTTTTTYYY```ffflllnnnqqqrrrqqqpppqqqrrrttttttttttttuuuvvvvvvuuusssrrrqqqpppppppppoooooonnnmmmlllkkkkkklllnnnoooqqqqqqrrrrrrrrrrrrqqqqqqppppppoooooonnnllllllkkkhhhhhhhhhhhhhhhiiijjjkkknnnnnnllliiieeeddddddffffffeeeeeeeeeeeefffggghhhkkkkkkkkkllllllmmmnnnoooooorrrvvvvvvwww{{{qqqbbbXXXTTTPPPKKKHHHHHHIIIHHHGGGCCCDDDEEEFFFFFFFFFGGGHHHIIIIIIKKKOOOPPPRRRYYYaaakkkvvvpppccc[[[[[[YYY[[[aaahhhqqq~~~rrrmmmpppooowwwyyynnnddd```]]]YYYWWWWWWUUUSSSPPPOOOOOOOOOMMMKKKKKKJJJJJJIIIIIIJJJJJJKKKKKKIIIGGGFFFFFFEEECCCBBBEEEEEEDDDCCCCCCCCCCCCCCCCCCCCCCCCCCCBBBBBBBBBBBBDDDDDDCCCBBBBBBAAA@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@BBBBBBBBBAAAAAAAAA@@@@@@@@@@@@???>>>>>>???AAAAAA???@@@AAABBBBBBCCCCCCCCCCCCCCCBBBBBBAAA@@@??????>>>>>>============>>>>>>333444444555555444444333333333333333333444555666444444444444444555666666555555555555666666666666888888777777666555555444777777666666666666666666666777999:::999999:::;;;===>>>CCCOOOaaarrr}}}~~~}}}zzzzzz{{{wwwxxx|||nnnfff]]]WWWVVVTTTVVV\\\bbbfffmmmttt|||oooccc\\\TTTOOOHHHBBB???@@@DDDFFFFFFGGGJJJMMMPPPQQQQQQQQQQQQRRRSSSTTTUUUVVVWWWWWW^^^ccciiiooossszzz{{{wwwtttrrrqqqssssssrrrqqqooommmlllkkkiiiiiihhhjjjkkkllljjjiiieeeeeeddddddccccccccccccddddddddddddeeefffggggggdddcccbbbaaa___^^^^^^]]]aaaaaabbbbbbcccdddeeeeeeffffffffffffggghhhiiiiiieeeeeefffggghhhjjjkkkllljjjjjjiiiiiiiiijjjkkkkkknnnllljjjhhhhhhjjjlllnnnnnnnnnnnnmmmmmmnnnnnnnnnkkklllllllllkkkjjjgggfffjjjjjjiiiiiiiiijjjkkkkkknnnnnnnnnnnnnnnmmmllllllnnnmmmlllllllllmmmooopppooonnnnnnmmmmmmmmmnnnnnnppppppooooooooooooooonnnkkkfff___ZZZYYY^^^eeejjjmmmooorrrsssrrrqqqqqqrrrssstttuuuuuuuuuvvvwwwwwwtttttttttsssqqqpppoooooonnnmmmlllkkkkkklllmmmmmmpppqqqqqqrrrrrrqqqqqqpppnnnnnnmmmlllkkkjjjjjjjjjiiihhhhhhhhhiiijjjkkklllnnnnnnllliiieeeddddddeeehhhhhhhhhhhhhhhiiiiiiiiimmmmmmmmmmmmnnnooopppqqqqqqwww}}}qqqdddYYYRRROOOJJJIIIGGGFFFFFFFFFFFFEEEEEEFFFGGGFFFDDDEEEGGGJJJMMMLLLOOOTTTXXX```mmmzzzuuukkkbbbZZZUUUYYY\\\dddsssrrrpppoooiiilllvvv}}}nnneee^^^\\\ZZZUUURRRSSSRRRQQQOOONNNOOONNNLLLJJJJJJJJJIIIIIIIIIIIIJJJJJJIIIHHHGGGGGGHHHHHHGGGFFFEEEEEEDDDCCCCCCCCCCCCCCCDDDDDDCCCCCCCCCBBBBBBBBBDDDDDDCCCBBBAAA@@@@@@???@@@@@@@@@@@@@@@@@@@@@@@@BBBBBBAAAAAAAAA@@@@@@@@@@@@???>>>===>>>???@@@AAA@@@AAABBBCCCCCCDDDCCCCCCAAABBBBBBBBBAAA@@@???>>>>>>>>>============>>>>>>333333444444444444333333444444444555666777888999333333333333444555666666444444555555555666666666999888888777555444444333444444444444444444444444555777888999999999;;;<<<<<<<<>>======>>>??????@@@AAABBBCCCCCCDDDDDDDDD@@@AAABBBBBBBBBAAA???>>>>>>======<<<<<<======>>>444444555555555555444444555555555555555666777888333333333333444555666777444444444555555555666666777777666666666555555555333333444444555555666666666777888777666777999;;;999===@@@AAAEEEOOO___kkkqqqpppsss}}}{{{www~~~}}}xxxlll___RRRNNNKKKLLLNNNOOOTTTZZZdddtttyyyuuuuuusssnnnfff\\\SSSLLLHHHFFFBBBBBBCCCDDDEEEGGGHHHIIIJJJKKKMMMPPPQQQRRRRRRRRRSSSWWW[[[^^^___ccchhhmmmuuuyyy~~~~~~|||zzzwwwtttqqqoooooonnnnnnnnnoooooonnnlllggggggeeeeeedddeeeeeefffggggggfffeeeddddddddddddcccbbb___\\\ZZZYYYXXXXXXWWWXXXZZZ]]]```ccceeefffiiijjjlllmmmmmmllliiihhheeeeeeeeeeeefffhhhjjjkkkllllllkkkkkkkkkkkkllllllllllllkkkkkkkkkllllllmmmkkkkkkjjjjjjjjjjjjkkkkkkmmmnnnooopppooollljjjhhhddddddeeeeeeggghhhjjjkkkmmmmmmnnnnnnoooooonnnnnnmmmlllkkkkkkkkklllnnnooolllllllllmmmnnnooopppqqqooooooooooooooooooooooooqqqoookkkhhhfffgggiiikkkjjjlllppprrrrrrrrrsssuuuppprrrtttsssqqqqqqrrrtttsssvvvwwwvvvrrrpppooopppnnnnnnnnnmmmmmmmmmllllllnnnnnnoooooooooooonnnnnniiihhhggggggggghhhiiijjjjjjjjjllllllmmmlllkkkjjjgggggggggdddbbbaaacccdddiiijjjkkkmmmnnnoooppppppooooooqqquuuzzzzzzfff[[[QQQNNNKKKGGGEEEGGGFFFFFFGGGGGGGGGHHHJJJKKKEEEGGGIIIIIIKKKQQQ[[[ccchhhlllvvv|||oooeee]]]WWWVVVUUUUUUZZZaaaooo}}}hhhbbb```eeellltttmmmfff^^^YYYVVVWWWVVVRRRQQQTTTPPPOOONNNNNNOOONNNKKKIIIIIIIIIHHHHHHHHHHHHIIIIIIHHHGGGFFFHHHJJJKKKKKKJJJEEEEEEDDDCCCCCCCCCCCCCCCDDDDDDDDDDDDCCCCCCCCCCCCBBBBBBBBBAAAAAA@@@@@@@@@????????????????????????AAAAAAAAA@@@@@@@@@@@@???AAA@@@>>>===<<<<<<===>>>???@@@AAABBBBBBCCCCCCBBB???@@@AAABBBBBBAAA???>>>======<<<<<<<<<<<<======555555666666666666555555555444444333333333444444222222222333444555666777444444444555555555666666555555555666666666666666555555666666777888999999777888777666555555777999888>>>BBB@@@===BBBQQQ^^^lllmmmsss~~~uuuhhhVVVOOOKKKJJJLLLOOOVVV]]]bbbppp{{{}}}|||~~~|||~~~{{{rrrggg\\\SSSNNNCCCBBBAAA@@@@@@BBBCCCDDDHHHIIILLLNNNPPPQQQQQQQQQTTTWWWZZZ[[[[[[]]]aaaeeekkknnnrrrxxx~~~|||yyyuuurrrpppqqqpppooooooppppppnnnmmmkkkjjjiiigggggghhhhhhiiikkkjjjiiihhhffffffeeeeeegggfffccc```]]]\\\[[[[[[SSSUUUWWW[[[___bbbeeefffjjjlllnnnpppooommmiiigggffffffeeefffggghhhjjjlllnnnmmmmmmlllllllllmmmmmmkkkkkkllllllmmmnnnnnnnnniiiiiiiiihhhhhhiiiiiiiiilllmmmoooooonnnllliiigggfffgggggghhhjjjlllnnnoookkkkkkmmmnnnooopppppppppkkkjjjiiiiiiiiijjjkkklllllllllmmmnnnoooqqqrrrsssqqqqqqqqqqqqqqqqqqqqqqqqooommmkkkhhhgggfffffffffeeehhhlllnnnooopppqqqsssoooqqqsssrrrpppoooppprrrsssuuuwwwvvvrrroooooopppoooooonnnnnnnnnmmmmmmlllmmmmmmnnnnnnnnnnnnmmmmmmggggggffffffggghhhjjjkkkiiijjjlllmmmmmmllljjjiiifffgggfffeeeccccccdddfffggghhhkkkmmmppprrrssssssrrrsssvvv|||pppaaaYYYXXXOOOJJJKKKJJJDDD@@@AAAFFFGGGGGGFFFEEEEEEGGGHHHBBBEEEJJJMMMSSS^^^mmmxxxwwwmmmfff\\\XXXWWWXXXWWWYYYdddqqq}}}lll[[[]]]aaahhhrrrzzziiibbb___[[[XXXXXXVVVRRRRRRTTTOOOOOONNNOOOOOONNNKKKIIIIIIHHHHHHGGGGGGHHHHHHIIIHHHGGGFFFGGGIIIJJJIIIHHHEEEEEEDDDCCCCCCCCCCCCCCCEEEDDDDDDDDDCCCCCCCCCCCCBBBBBBAAAAAAAAAAAA@@@@@@????????????????????????AAAAAAAAA@@@@@@@@@??????AAA@@@>>>===<<<<<<<<<===>>>>>>???@@@AAAAAAAAAAAA???@@@AAABBBBBBAAA???>>>======<<<<<<<<<<<<======777777666555444333333222333333444444444333222111333333222111111222333333555444444444444555666666555555555555666666666666777777777777777666555555666666666666555555555555888999;;;<<<===AAAEEEIIIYYYhhh{{{rrreee]]]VVVTTTRRRTTT```mmmttttttrrrppppppuuu}}}rrr]]]PPPCCC;;;@@@BBB===<<>>===???CCCEEEDDDBBBAAAAAAAAAAAAAAAAAAAAAAAABBBBBBAAAAAAAAA@@@@@@@@@??????>>><<<<<<;;;;;;;;;;;;<<<===???AAABBBBBBBBBAAAAAAAAA@@@@@@@@@?????????===;;;<<>><<<666666666555444444333333444444333333333222222222444444333222222333444444444444444444444555666666555555555555666666666666777777777777777666555555444555555555666666777777888999;;;;;;<<>>@@@BBBDDDCCCAAAAAAAAAAAAAAAAAAAAAAAAAAABBBAAAAAAAAAAAA@@@@@@@@@??????>>><<<<<<;;;;;;<<<===>>>???@@@@@@@@@@@@@@@AAAAAA@@@@@@@@@?????????@@@>>><<<===???@@@???===444444444444444444444444555444333222222222333333555444444333333444444555444444444444444555555666444555555555555666666666777777777777777666555555333333444555666777888888888999::::::;;;===@@@CCCCCCLLL\\\tttzzz|||wwwpppsss{{{zzz{{{tttaaaOOOGGGBBB<<<<<<@@@AAA@@@@@@BBBGGGMMMTTTXXX]]]]]]]]][[[XXXWWWYYYZZZWWWXXXYYYZZZ[[[^^^cccggglllpppvvv|||}}}zzzvvvsssqqqpppppppppoooooonnnmmmmmmmmmoooooopppooonnnkkkiiihhhiiigggfffeeeeeedddbbb```^^^^^^___```aaabbbbbbcccccceeegggiiiiiihhhgggfffffffffeeedddeeefffggghhhjjjjjjhhhgggfffeeeeeefffffffffgggggghhhiiiiiiiiiiiihhhgggggghhhhhhgggfffgggiiikkkmmmooooooooooookkkjjjjjjkkkmmmnnnmmmllljjjkkkkkkllllllkkkkkkjjjlllkkkiiigggfffeeeeeeffffffggghhhjjjkkkkkkllllllooonnnnnnmmmmmmnnnooooookkkkkkjjjfffcccaaaaaaaaadddeeeggghhhhhhhhhggggggfffiiikkklllkkklllmmmoooooonnnmmmmmmlllmmmmmmmmmnnnnnnmmmllllllllllllmmmllllllmmmmmmmmmmmmllllllmmmllljjjjjjlllnnnoooooommmnnnpppqqqpppooommmlllnnnnnnnnnnnnnnnoooooooooqqquuu{{{pppeeeVVVRRRMMMIIIHHHHHHGGGFFFIIIHHHFFFDDDDDDEEEGGGHHHIIIEEEDDDGGGIIIJJJNNNSSSZZZccctttnnneee^^^]]]]]]]]]```dddnnnyyyxxxllljjjlllnnnzzz{{{vvvoookkkiiifffaaa^^^WWWVVVTTTRRRQQQQQQRRRRRRNNNMMMLLLLLLKKKJJJIIIIIIGGGGGGGGGGGGFFFFFFFFFEEEDDDEEEEEEFFFEEEEEEDDDDDDGGGFFFEEECCCCCCDDDEEEFFFDDDEEEEEEEEEEEEDDDCCCCCCBBB@@@???@@@AAABBBAAA@@@@@@@@@@@@AAAAAABBBBBBBBBAAAAAAAAA@@@@@@@@@????????????>>>===<<<<<<<<<<<>>@@@@@@@@@@@@?????????>>>@@@>>>===>>>???@@@???>>>333333333444444555555555666555333111111222333444444444333333333333444444444444333333444444555666444444444555555555666666777777777777777666555555444444444555666777777888888999::::::999:::===??????EEEQQQddd{{{~~~zzzzzz~~~ttt^^^PPPGGGAAA???BBB>>>===<<<===AAAGGGNNNRRRXXXYYYZZZZZZXXXVVVVVVWWWTTTUUUVVVVVVVVVYYY]]]``````dddiiinnnttt{{{~~~zzzxxxuuutttttttttsssrrrqqqqqqppppppsssssstttsssrrrooolllkkkjjjiiigggggghhhhhhfffeeeccccccccccccccccccddddddbbbdddfffhhhjjjjjjjjjiiieeedddcccbbbbbbbbbcccdddhhhgggffffffeeedddddddddeeeeeefffffffffggggggggggggfffdddeeeffffffeeecccdddeeegggiiijjjjjjjjjiiihhhgggfffgggiiijjjjjjiiihhhhhhhhhhhhhhhhhhhhhhhhfffeeedddccccccddddddeeedddeeeeeefffggggggggggggiiiiiiiiiiiiiiiiiijjjjjjgggggggggeeebbb``````aaabbbcccdddeeeeeeeeedddcccdddgggiiikkkkkkkkklllmmmnnnmmmmmmlllllllllmmmmmmmmmmmmllllllllllllmmmmmmkkkllllllmmmnnnnnnoooooopppooonnnooopppqqqrrrrrrppppppqqqqqqpppnnnmmmkkknnnoooqqqsssuuuwwwyyy{{{|||{{{nnncccYYYSSSNNNKKKHHHFFFFFFGGGGGGGGGFFFGGGHHHHHHHHHHHHIIIJJJKKKIIIIIIMMMPPPSSSYYY```qqq~~~yyylllaaa\\\YYYZZZ\\\bbbmmmxxxwwwnnnooowwwyyymmmhhhccc___^^^\\\ZZZYYYSSSSSSRRRQQQQQQQQQQQQRRRMMMLLLLLLKKKJJJJJJIIIIIIFFFFFFFFFFFFEEEEEEEEEEEEEEEEEEFFFFFFEEEEEEDDDDDDEEEDDDCCCCCCCCCCCCDDDDDDCCCCCCDDDDDDDDDDDDCCCCCCBBBAAAAAA@@@@@@@@@????????????@@@AAAAAABBBCCCCCC@@@@@@@@@@@@??????????????????>>>===<<<<<<======?????????@@@@@@@@@??????@@@????????????>>>>>>>>>>>>=========>>>>>>>>>===222222333333444555555555666555333111111222333444222222333333333333222222333333333333333444555555444444444444555555555555777777777777777666555555666666666666666555555555777888999999999999;;;<<<===AAAJJJUUUcccsss~~~}}}~~~|||ppp^^^RRRIIICCCBBB<<<;;;;;;<<<>>>BBBEEEHHHPPPSSSXXX[[[[[[ZZZYYYYYYXXXYYYXXXWWWUUUTTTVVVWWWZZZ\\\```dddhhhnnntttxxx}}}{{{||||||{{{yyyxxxvvvuuuuuuuuuuuuuuutttrrrpppmmmlllmmmkkkjjjjjjkkkllljjjiiihhhgggggggggffffffeeeeeedddfffgggiiikkklllllllllfffeeedddcccccccccdddeeeggggggffffffeeeeeedddddddddeeeeeeeeeeeeeeeffffffeeecccbbbbbbccccccbbbaaacccdddeeefffffffffeeedddeeedddcccdddeeefffeeedddeeeeeeeeeeeeeeeeeeeeeeeebbbbbbcccdddeeefffggghhhggggggffffffffffffggggggfffffffffgggggghhhhhhhhheeeffffffeeecccaaaaaabbbcccdddeeefffgggfffeeedddeeegggjjjlllkkkkkkkkklllmmmmmmllllllllllllmmmnnnmmmmmmlllllllllmmmmmmnnnlllllllllmmmnnnooopppqqqqqqqqqrrrrrrrrrssstttuuuttttttttttttsssrrrpppooommmqqqvvvzzz}}}{{{kkk^^^VVVRRROOOMMMJJJGGGEEEDDDEEEFFFFFFEEEEEEHHHKKKLLLJJJHHHHHHHHHMMMNNNSSS[[[aaagggpppyyyzzznnnccc]]]^^^[[[YYY\\\bbbooozzztttooopppzzzvvvoooeeebbb^^^ZZZXXXWWWVVVVVVPPPPPPPPPOOOPPPPPPPPPPPPLLLLLLKKKKKKJJJJJJIIIIIIFFFFFFFFFEEEEEEEEEDDDDDDFFFFFFGGGGGGFFFEEEEEEDDDBBBBBBAAAAAAAAABBBBBBBBBAAAAAABBBCCCCCCBBBBBBBBBAAAAAAAAAAAA??????????????????@@@AAAAAABBBCCCCCC@@@@@@?????????>>>>>>>>>???>>>>>>============>>>===>>>???@@@@@@@@@@@@@@@?????????>>>>>>>>>======;;;<<<<<<<<<;;;;;;<<<<<<222222333333444444444555555444333222222222333333111222222333333222222111333333333333333444444555333444444444444555555555777777777777777666555555777777666666555555555555666888999:::999999:::;;;:::<<>>>>>=========>>>???@@@IIINNNTTTYYY\\\]]]]]]^^^eeeeeeeeebbb^^^ZZZXXXWWWXXXYYY[[[\\\^^^bbbgggkkknnnrrryyy~~~{{{yyyxxxwwwxxxwwwuuusssqqqpppnnnnnnooonnnmmmmmmnnnooommmlllkkkkkkjjjjjjiiihhhhhhhhhhhhhhhjjjkkklllmmmmmmmmmjjjjjjhhhhhhggghhhiiijjjggghhhhhhhhhhhhgggfffeeeeeeeeeeeeeeeeeeeeeeeeeeecccbbbaaaaaabbbbbbaaa```dddeeefffggggggfffeeeddddddcccbbbcccdddeeedddccceeeddddddccccccddddddeeedddeeefffhhhjjjkkklllmmmkkkkkkjjjiiiiiiiiiiiiiiifffggghhhiiiiiiiiiiiiiiieeeggghhhgggeeedddcccdddfffgggiiijjjjjjjjjiiiiiigggjjjmmmnnnnnnmmmlllmmmmmmmmmmmmlllmmmmmmnnnooonnnmmmmmmmmmmmmnnnoooooommmmmmmmmmmmnnnpppqqqrrrqqqrrrttttttssssssuuuvvvrrrsssttttttuuutttttttttttt{{{xxxggg```WWWNNNJJJJJJJJJJJJGGGEEEDDDDDDFFFHHHIIIIIIGGGJJJMMMMMMKKKJJJKKKNNNRRRWWWbbboooxxxwwwlllddd]]]ZZZZZZ[[[ZZZ\\\dddpppxxxtttooooooqqqxxxqqqjjjiii\\\[[[YYYWWWUUUTTTTTTTTTNNNNNNNNNNNNNNNNNNNNNNNNKKKKKKKKKJJJJJJJJJIIIIIIFFFFFFFFFFFFEEEEEEEEEDDDGGGGGGGGGGGGFFFEEEDDDDDD@@@@@@@@@AAAAAAAAAAAAAAA@@@@@@AAABBBBBBBBBBBBAAA@@@AAABBBAAA???>>>>>>???@@@@@@@@@AAAAAABBBBBBBBB?????????>>>>>>>>>>>>===???>>>>>>======>>>>>>>>><<<===>>>???@@@AAAAAAAAA>>>>>>>>>>>>============:::;;;<<<;;;:::999:::<<<333333333333333333444444444444333333333222222222222222333444444333222222333333222222333333444555333333444444444555555555777777777777777666555555555555555666666666666666666777999:::999999:::<<<999777:::@@@EEEKKKXXXeeeqqqyyy{{{wwwuuupppxxxzzzqqqggg[[[RRRGGGEEEBBB@@@>>>>>>>>>???CCCFFFKKKPPPTTTXXX\\\```kkkmmmnnnmmmiiieeeaaa```\\\\\\[[[ZZZZZZ\\\___bbbbbbfffkkkqqqxxx~~~}}}}}}zzzwwwuuutttttttttrrrqqqooooooppppppooonnnmmmmmmllllllkkkkkkjjjjjjjjjkkkkkkkkkllllllllllllmmmlllkkkkkkkkklllmmmnnniiijjjjjjkkkkkkjjjhhhhhheeeeeeeeeeeeeeeeeeeeeeeedddcccaaabbbccccccbbb```cccdddfffggggggggggggfffdddcccccceeeggghhhhhhgggffffffeeeddddddeeeffffffhhhiiijjjkkklllmmmnnnnnnmmmlllkkkiiihhhhhhhhhiiieeefffhhhiiijjjjjjjjjiiigggiiikkkjjjhhhffffffffffffgggiiijjjkkkkkkkkkkkkkkknnnqqqrrrpppooonnnmmmnnnmmmmmmmmmnnnnnnooopppnnnnnnnnnnnnnnnoooppppppnnnnnnmmmmmmnnnppprrrsssppprrruuuuuutttsssuuuvvvssstttvvvyyy{{{~~~wwwhhh^^^TTTQQQMMMIIIHHHGGGHHHHHHGGGFFFEEEGGGJJJLLLLLLLLLHHHKKKMMMNNNOOOTTT]]]dddlllssstttiii___[[[YYYWWWYYY]]]\\\^^^fffuuu}}}qqqmmmpppsssvvvzzzqqqddd___```VVVVVVVVVUUUSSSRRRRRRRRRMMMMMMMMMNNNNNNMMMMMMLLLKKKKKKJJJJJJJJJIIIIIIIIIGGGGGGFFFFFFFFFEEEEEEEEEFFFFFFFFFFFFEEEDDDCCCBBB@@@@@@AAAAAABBBBBBBBBBBB@@@AAABBBBBBCCCCCCBBBBBB>>>@@@AAAAAA>>>===???@@@AAAAAAAAAAAAAAAAAAAAAAAA??????>>>>>>>>>=========???>>>>>>>>>>>>>>>??????>>>??????@@@@@@@@@??????>>>>>>=========<<<<<<<<<999;;;===<<<:::999;;;===333333333333333333333333333333444444444333222111333333444555555444333333333333222222333333444555333333333444444444555555777777777777777666666555333444444555666777888888555777999:::::::::;;;<<<<<<666666;;;@@@CCCHHHPPPcccooo}}}~~~sssnnnmmmmmmdddnnn||||||vvvjjj___OOOLLLGGGBBB???>>>@@@AAA>>>@@@CCCFFFKKKQQQYYY^^^eeeiiimmmnnnmmmiiigggeeeaaa```^^^\\\ZZZZZZ]]]```___bbbeeeiiinnnttt{{{|||zzzyyyzzz{{{tttrrrqqqqqqqqqqqqpppnnnnnnnnnmmmmmmlllllllllkkkllllllkkkkkkkkkkkkkkkkkkllllllkkkkkkkkklllmmmnnnkkkkkklllmmmmmmllljjjiiieeeeeeeeeeeeeeeeeeeeeeeeeeedddccccccddddddcccaaa```bbbdddfffggggggggggggeeedddeeegggjjjmmmmmmmmmhhhgggffffffffffffggghhhjjjjjjkkklllllllllkkkkkklllkkkiiigggffffffffffffcccdddfffhhhiiiiiihhhgggiiikkkmmmllljjjhhhggggggcccdddfffhhhjjjjjjjjjiiinnnpppssstttrrrpppooonnnnnnnnnnnnnnnnnnoooppppppooooooooooooooopppqqqqqqooonnnnnnnnnnnnppprrrsssooorrruuuuuusssssstttvvvzzz|||rrriii```WWWPPPJJJIIIIIIHHHHHHHHHHHHGGGHHHFFFFFFGGGIIIKKKKKKJJJHHHJJJMMMOOOTTT```ppp|||rrraaa```XXXRRRTTTWWWWWWZZZ```aaafffsss}}}qqqllljjjpppwww{{{~~~xxxkkk^^^XXXXXXUUUVVVVVVUUURRRPPPOOOOOOLLLMMMMMMMMMMMMLLLLLLKKKJJJJJJJJJJJJJJJIIIIIIIIIGGGGGGGGGGGGFFFFFFFFFFFFEEEEEEEEEEEEDDDCCCBBBAAA@@@AAABBBBBBCCCCCCCCCBBBAAABBBBBBCCCDDDDDDDDDCCC===@@@AAA@@@>>>===???AAABBBAAAAAAAAAAAAAAAAAAAAA>>>>>>>>>>>>============???>>>>>>>>>>>>>>>??????AAAAAAAAA@@@@@@>>>======>>>=========<<<<<<<<<<<<:::<<<>>>===;;;:::;;;>>>333333333333333333333333333333333333333444555666222222333333333333444444111111222333333333333222666666666666666666666666555555555444444333333333555555555555555666777777888999999999999:::::::::777777777888:::???CCCFFFOOO```vvvwwwnnngggfffhhhdddgggoooxxx|||wwwhhh```SSSGGGEEEHHHGGGCCCEEEBBB@@@BBBCCCEEELLLTTT]]]```eeehhhjjjkkknnnooopppjjjccc^^^]]]]]][[[ZZZ\\\___bbbcccdddgggmmmrrrqqquuu{{{|||yyy|||zzzxxxwwwwwwvvvsssqqqsssrrrppppppqqqpppooommmooonnnmmmlllmmmmmmnnnoooooopppqqqqqqrrrrrrrrrrrrpppooonnnnnnnnnmmmkkkiiieeeccc```^^^^^^```bbbddddddddddddddddddeeefffgggjjjiiihhhhhhgggggghhhhhhcccdddgggiiikkklllmmmnnnjjjjjjiiiiiiiiijjjkkkkkklllkkkjjjjjjjjjkkkllllllnnnllliiigggggggggfffeeellljjjgggeeeeeefffiiijjjkkklllmmmmmmllljjjhhhffffffhhhkkkkkkjjjjjjmmmpppnnnoooqqqrrrrrrqqqooonnnqqqpppooooooppprrrtttvvvrrrooommmnnnqqqrrrqqqpppqqqrrrssssssqqqpppqqqrrrqqqsssvvvxxxzzz|||}}}nnnhhh```WWWPPPMMMMMMMMMHHHFFFDDDDDDEEEHHHIIIJJJKKKKKKKKKKKKLLLKKKIIIHHHNNNOOOWWWeeeqqquuukkkbbb\\\QQQTTTUUUUUUVVV]]]gggpppqqqvvvhhhhhhooouuu|||qqqggg```YYYVVVXXXRRRRRRQQQPPPOOOOOONNNNNNNNNMMMMMMLLLLLLLLLLLLLLLGGGHHHIIIIIIIIIHHHGGGFFFGGGGGGFFFFFFEEEDDDDDDDDDEEEDDDCCCBBBBBBCCCDDDEEE???????????????@@@@@@@@@@@@AAABBBBBBBBBAAA@@@???>>>???@@@AAAAAAAAAAAAAAA@@@@@@@@@@@@@@@@@@@@@@@@<<<<<<<<<===============@@@@@@@@@???????????????@@@AAAAAAAAAAAA@@@?????????>>>>>>===<<<;;;;;;;;;===<<<<<<<<<<<<;;;;;;;;;333333333333333333333333444444333222222222333333222222333333333333444444222222333444444444444333444444444444444444444444555555444444444333333333555555555555555666666777666666777777777888888888:::999888888:::===@@@BBBGGGSSSeeevvv~~~vvvooohhheeeeeebbbgggmmmpppqqqxxxxxxrrrggg^^^\\\\\\VVVMMMGGGCCC@@@AAAAAA@@@CCCGGGMMMQQQVVV[[[___dddhhhkkkkkkhhhdddcccdddeeeeeeddddddcccbbb```^^^___bbbdddeeeiiinnnsssyyy}}}}}}|||zzzxxxxxxvvvtttsssssssssrrrqqqqqqpppooonnnnnnnnnooopppqqqrrrrrrsssssssssssssssqqqpppoooooooooooommmkkkhhhfffcccaaa```bbbdddfffiiiiiiiiiiiiiiijjjkkkkkkkkkkkkjjjjjjjjjjjjkkkkkkiiiiiiiiijjjkkkkkklllllllllllllllllllllmmmmmmnnnnnnmmmkkkjjjjjjkkklllmmmooolllhhhffffffeeedddccceeeeeeccccccccceeeggghhhhhhiiikkkllllllkkkjjjiiieeegggjjjjjjiiijjjlllooooooppprrrsssttttttrrrrrrqqqrrrrrrsssttttttttttttrrrpppoooooorrrtttsssrrrtttuuuvvvuuuttttttvvvwwwyyy|||tttiiiaaaZZZWWWRRRMMMJJJJJJKKKLLLJJJIIIGGGFFFGGGHHHHHHHHHMMMLLLLLLMMMOOOPPPQQQQQQUUUZZZhhh{{{sssiiiaaa[[[VVVTTTWWWZZZ]]]bbbmmm|||yyylllffffffqqq}}}}}}pppddd___\\\WWWTTTUUUQQQQQQPPPPPPOOONNNNNNMMMMMMMMMLLLKKKKKKKKKKKKKKKHHHIIIIIIJJJIIIHHHGGGFFFHHHHHHGGGGGGFFFEEEEEEDDDEEEDDDCCCBBBBBBCCCDDDEEEAAAAAA@@@@@@@@@@@@@@@@@@@@@AAABBBCCCCCCBBBAAA@@@>>>??????@@@AAAAAA@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@===============<<<<<<<<>>@@@@@@@@@@@@@@@??????>>>>>>>>>>>>===<<<;;;;;;;;;;;;;;;;;;;;;::::::::::::333333333333333333333333444444333222111111111111222222333333333333444444333333444555555555555444222222222222222222222222444444444444333333333333555555444444555555666777666666666777777777888888<<<;;;999888999:::<<<===AAAFFFQQQbbbtttyyyvvvqqqjjjeeeeeehhhoootttooohhhlll{{{vvvhhhSSSKKKCCCBBBAAA>>>===??????CCCHHHMMMQQQWWW]]]aaabbbbbbdddggglllppprrrrrrlllhhhbbb^^^\\\[[[[[[ZZZ[[[^^^aaaeeeiiiooovvvzzz}}}yyyxxxxxxyyyxxxxxxvvvuuusssrrrrrrrrrssssssvvvvvvvvvvvvuuuuuuuuuuuusssrrrqqqrrrsssrrrpppnnnllljjjgggdddddddddfffgggiiiiiijjjjjjjjjjjjkkkkkkmmmmmmlllmmmmmmnnnoooppppppooommmlllkkkkkkkkkllloooooooooooooooppppppqqqqqqooommmkkkjjjkkkmmmoooooolllhhhfffeeedddbbbaaaaaaaaabbbcccdddeeefffgggdddfffhhhkkklllllllllkkkfffhhhiiijjjjjjkkkmmmoookkkmmmooopppqqqrrrqqqqqqoooqqqsssttttttsssqqqppptttsssrrrsssuuuwwwwwwwwwyyyzzz{{{{{{{{{}}}xxxjjj```XXXQQQMMMIIIHHHGGGFFFFFFFFFHHHIIIJJJJJJJJJJJJJJJKKKLLLLLLMMMMMMLLLMMMPPPTTTYYY\\\eeeooovvvjjjaaa]]]ZZZVVVTTTYYY]]]dddlllxxx~~~ooofffdddeeemmmzzzzzzpppeee^^^XXXWWWWWWTTTQQQQQQOOOOOOOOONNNNNNMMMMMMLLLKKKKKKJJJIIIIIIIIIIIIJJJIIIIIIJJJJJJIIIIIIHHHGGGHHHHHHHHHGGGFFFFFFEEEEEEDDDDDDCCCBBBBBBCCCDDDDDDCCCBBBBBBAAAAAA@@@@@@@@@@@@AAAAAABBBBBBBBBAAAAAA>>>>>>??????@@@@@@??????@@@@@@@@@@@@@@@@@@@@@@@@>>>>>>======<<<<<<;;;;;;=========>>>>>>>>>>>>>>>???????????????>>>======>>>>>>======<<<;;;;;;;;;::::::::::::999999999999222222222222222222222222444333222222222222222333222222222333333333444444222333333444444444444444222222222222222222222222333333333333333333333333555444444444444555666666888888888888999999999999;;;:::999888888999:::;;;???BBBGGGQQQ```sss|||xxxwwwrrrkkkhhhiiiuuu~~~uuusssyyylll^^^NNNFFFCCC@@@???@@@===???AAADDDFFFKKKPPPTTTVVVYYY___gggooouuuyyy{{{sssmmmeee```___^^^\\\ZZZYYYZZZ\\\]]]___dddiiimmmqqqwww~~~~~~}}}|||zzzyyywwwwwwxxxxxxzzzzzzyyyxxxwwwvvvvvvuuuuuutttssstttuuuuuusssqqqnnnmmmjjjhhhffffffggghhhjjjjjjkkkkkkkkkkkkkkkjjjmmmmmmmmmnnnoooppprrrrrrtttrrrooommmllllllmmmnnnqqqqqqpppppppppqqqqqqrrrsssqqqnnnlllkkklllnnnpppnnnlllhhhgggffffffeeedddbbbccceeefffgggggggggfffbbbdddgggiiikkkkkkkkkjjjhhhhhhiiijjjkkkmmmoooqqqllllllnnnooopppppppppoooqqqrrrssstttttttttsssrrruuuuuuvvvwwwzzz|||}}}~~~qqqjjj___UUUPPPMMMKKKIIIEEEFFFFFFFFFFFFFFFFFFFFFGGGIIIKKKLLLMMMOOOQQQRRRPPPPPPQQQSSSXXX```iiiooo~~~rrriiiddd^^^YYYYYYZZZ\\\^^^eeekkkvvv|||pppiiiggglllqqqyyyrrrgggbbb[[[WWWSSSRRRRRRQQQOOONNNMMMMMMMMMMMMLLLLLLKKKKKKJJJIIIIIIHHHHHHHHHHHHHHHJJJJJJJJJJJJIIIIIIHHHHHHGGGGGGFFFFFFEEEDDDDDDDDDCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCBBBAAA@@@??????>>>??????@@@@@@@@@@@@@@@@@@===>>>>>>?????????>>>>>>??????????????????????????????>>>===<<<;;;;;;:::<<<<<<<<<===============>>>>>>>>>>>>>>>======<<<=========<<<<<<;;;;;;;;;::::::::::::999999999999222222222222222222222222222222222222333555666666222222222333333333444444111111222333333333333333222222222222222222222222333333333333333333333333444444444444444555666666777777888888888999999999999888888777888999:::;;;===???CCCFFFMMM]]]rrryyyuuupppkkkkkkooowww^^^NNNEEE@@@@@@BBB<<<===>>>???@@@BBBFFFIIIKKKPPPWWW```iiipppwwwzzzvvvpppiiidddcccbbb___]]][[[[[[[[[ZZZZZZ[[[___aaadddjjjsss|||~~~}}}}}}}}}}}}|||zzzxxxvvvuuuuuutttuuutttssstttttttttrrrppppppnnnllljjjiiiiiiiiijjjnnnooooooppppppooonnnnnnlllllllllmmmnnnppprrrrrrsssrrrpppnnnnnnoooqqqrrrrrrqqqqqqpppooooooppppppsssqqqooommmlllmmmooopppnnnllliiiiiijjjjjjjjjjjjfffggghhhiiiiiihhhfffeeedddeeehhhiiijjjjjjiiihhhhhhgggggghhhjjjmmmooopppppppppqqqqqqrrrrrrqqqqqquuuuuuuuuuuuvvvwwwyyyzzzxxxyyy{{{}}}yyylllbbbVVVSSSNNNJJJHHHGGGGGGFFFEEEFFFGGGIIIIIIIIIHHHGGGFFFHHHJJJKKKKKKMMMPPPSSSTTTWWW]]]ccclllyyy|||jjj]]]ZZZYYYWWWXXX[[[cccmmmsss}}}}}}sssmmmmmmrrruuu~~~|||ooofff___ZZZUUUTTTPPPMMMMMMNNNOOONNNKKKKKKKKKKKKJJJJJJJJJJJJIIIHHHHHHGGGGGGGGGGGGGGGJJJJJJIIIIIIHHHHHHHHHHHHEEEEEEEEEDDDCCCCCCBBBBBBBBBBBBCCCCCCCCCCCCBBBBBBBBBAAAAAA@@@???>>>>>>===>>>>>>>>>>>>>>>??????@@@>>>>>>?????????>>>>>>===??????????????????????????????>>>===<<<;;;;;;:::;;;;;;<<<<<<===============>>>>>>>>>>>>===<<<<<<<<<<<<<<<<<<;;;;;;;;;;;;;;;;;;;;;;;;::::::::::::222222222222222222222222111111222333444666777888222222333333333333444444000111222222333333222222333333333333333333333333222222222222333333333333444444333333444444555666555555555666666666777777666666666777777888999:::888<<>>???AAADDDDDDHHHNNNTTT[[[ccclllqqqtttppplllhhhfffdddcccbbb`````````]]]ZZZXXXXXXYYY]]]aaaggglllqqqvvv{{{|||yyyxxxwwwwwwwwwvvvuuuuuuuuutttrrrpppqqqpppnnnmmmllllllllllllooopppqqqqqqqqqpppnnnmmmkkkkkkllllllmmmooopppqqqqqqpppppppppppprrrssstttsssrrrqqqooonnnmmmmmmmmmpppooonnnnnnnnnoooppppppnnnlllkkkkkklllnnnnnnnnnhhhiiijjjjjjjjjiiigggfffgggiiijjjllllllllljjjiiiiiigggfffgggkkknnnpppqqqrrrrrrrrrrrrssstttttttttvvvvvvvvvwwwyyy||||||qqqiiiddd^^^WWWRRRJJJIIIGGGFFFDDDDDDDDDDDDBBBDDDFFFIIIJJJKKKJJJJJJGGGIIIKKKJJJJJJLLLQQQVVVYYY```kkkwww}}}ssslllddd\\\WWWQQQUUUZZZ```iiiwwwzzztttqqqooouuutttgggaaa[[[VVVTTTNNNOOOLLLHHHHHHLLLOOOOOOIIIIIIIIIIIIIIIIIIIIIIIIIIIHHHGGGGGGFFFFFFGGGGGGJJJIIIHHHGGGGGGGGGGGGHHHDDDDDDCCCCCCBBBAAAAAAAAABBBBBBCCCCCCCCCCCCBBBBBBAAA@@@@@@??????>>>>>>>>>============>>>???@@@AAA??????@@@@@@??????>>>>>>????????????????????????>>>>>>======<<<<<<;;;;;;;;;;;;<<<<<<======>>>>>>>>>>>>>>>>>>>>>===<<<<<<;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;::::::::::::111111111111111111111111222222222222333444555666222222333333333333444444111222333333444444333333333333333333333333333333111111222222222333333333444444333333444444555666555555555555666666666777666666666777777777888888666999;;;<<<>>>EEEOOOWWWlll~~~}}}|||vvvrrrttt}}}vvvnnnoootttxxx~~~{{{jjjXXXJJJCCCCCC===???AAAAAA@@@???@@@AAAAAACCCFFFHHHMMMUUU^^^eeelllmmmmmmmmmkkkkkklllmmmmmmmmmlllhhhccc^^^[[[ZZZ\\\^^^```bbbdddgggllloootttwww|||}}}|||{{{{{{zzzwwwuuusssrrrqqqpppooopppppppppooopppqqqrrrqqqpppnnnmmmllllllllllllmmmnnnooopppoooppppppqqqrrrsssttttttuuutttrrrooommmlllkkkjjjmmmmmmnnnooooooppppppppppppnnnllllllmmmnnnnnnnnnkkkllllllmmmmmmmmmlllllljjjlllnnnpppqqqpppooonnnooollljjjlllppptttvvvvvvvvvvvvwwwyyy{{{}}}~~~~~~}}}rrrkkkccc___YYYTTTPPPNNNKKKIIIFFFFFFEEECCCCCCCCCEEEFFFCCCDDDFFFHHHJJJKKKKKKKKKHHHKKKMMMNNNOOOTTT]]]dddllluuu|||pppddd___]]]YYYXXX[[[XXX```lllxxxyyysssvvvzzz|||~~~pppccc]]]XXXSSSPPPQQQJJJMMMLLLGGGGGGKKKNNNLLLHHHHHHHHHHHHHHHHHHHHHHHHIIIHHHGGGGGGFFFFFFGGGGGGIIIHHHGGGFFFFFFFFFGGGGGGEEEDDDDDDCCCBBBBBBAAAAAAAAABBBBBBCCCCCCBBBBBBAAA@@@@@@@@@@@@@@@@@@@@@@@@???>>>>>>>>>???@@@BBBCCC@@@@@@AAAAAA@@@??????>>>????????????????????????===============<<<<<<<<<;;;<<<<<<===>>>>>>??????>>>????????????>>>======;;;;;;;;;;;;;;;;;;;;;;;;::::::::::::999999999999111111111111111111111111222222222111222222333333222222333333333444444444222333444444555555444444222222222222222222222222111111111222222333333333444333333333333444555555777777777777888888888888777777777777666666666666999999999;;;>>>AAADDDFFFXXXnnnxxxvvvyyy}}}}}}{{{yyy|||zzziiicccdddfffmmmttt|||vvveeeTTTKKKJJJDDDEEEGGGFFFCCCAAA@@@@@@AAAAAAAAAAAADDDKKKVVV^^^dddiiinnnpppqqqsssvvvzzzyyyzzzyyytttmmmfffbbb```^^^______^^^^^^```dddggghhhjjjooossswww|||~~~{{{tttssssssrrrrrrrrrsssssstttuuuvvvwwwwwwuuusssrrrmmmlllllllllmmmnnnooopppooopppqqqrrrsssssssssssswwwuuussspppmmmkkkjjjiiijjjlllnnnooopppqqqpppooorrrpppmmmlllmmmmmmmmmlllnnnoooooopppqqqrrrsssssslllnnnpppsssttttttssssssvvvsssppprrrvvv{{{}}}}}}{{{pppggg___WWWRRRRRRQQQOOOLLLHHHFFFDDDCCCAAAAAA@@@>>>???AAAEEEHHHGGGGGGHHHIIIJJJJJJJJJIIIHHHLLLPPPSSSWWW___llluuu{{{oooggg^^^XXXXXXXXXWWWZZZ___hhhssszzz{{{sssrrr||||||kkkccc\\\ZZZUUUOOOOOOTTTKKKPPPPPPJJJHHHKKKKKKHHHGGGGGGGGGGGGGGGGGGGGGHHHIIIHHHGGGGGGFFFGGGGGGGGGHHHGGGFFFEEEEEEEEEFFFGGGEEEEEEEEEDDDCCCCCCBBBBBBAAAAAABBBCCCCCCBBBAAAAAAAAAAAAAAAAAAAAAAAAAAABBB@@@@@@??????@@@BBBCCCEEEAAAAAAAAAAAAAAA@@@???>>>>>>>>>>>>>>>>>>>>>>>>>>><<<<<<<<<===============<<<<<<<<<===>>>??????@@@???????????????>>>======;;;;;;;;;;;;;;;;;;;;;;;;999999999888888888888777///000000000000111111111444444444444444444444444333111000111333333111...000000111111111222222222333333333222222222111111444333333333333444555555444444444444444444444444666777999:::999888666444888777666666666777999:::888888888999;;;>>>AAACCCLLLUUUggg}}}zzzvvvtttsss{{{|||rrrddd\\\YYY]]]dddnnnuuu}}}yyyvvvqqqfffXXXNNNPPPQQQPPPOOOMMMMMMLLLKKK???@@@@@@@@@@@@CCCGGGKKKVVV]]]eeejjjmmmrrryyy~~~xxxnnnhhhfff```ddddddaaa___bbbdddcccggggggfffgggjjjnnnrrruuuzzz}}}}}}|||{{{{{{zzzyyyyyy{{{yyyxxxyyyzzzzzzyyywwwtttsssrrrqqqqqqrrrssstttrrrrrrrrrrrrssstttvvvvvvvvvwwwwwwtttqqqooooooooopppqqqsssttttttsssqqqpppppppppooonnnmmmooosssvvvvvvvvvuuuuuuuuutttttttttwwwxxxxxxzzz{{{~~~~~~}}}||||||~~~zzzfffbbb\\\XXXVVVSSSNNNJJJHHHHHHGGGFFFDDDCCCBBBAAACCCBBBBBBCCCEEEFFFEEEDDDIIIGGGFFFEEEGGGHHHHHHHHHKKKRRRWWWZZZdddvvvzzzppphhhbbbbbbZZZUUUWWWZZZ^^^fffppp|||vvv}}}zzz}}}}}}ppp```\\\WWWRRRPPPNNNMMMKKKLLLLLLLLLLLLKKKKKKKKKKKKJJJHHHGGGEEEEEEFFFHHHIIIFFFEEEDDDDDDFFFGGGFFFEEEEEEDDDDDDCCCCCCCCCDDDDDDDDDCCCBBBAAA???>>>======CCCCCCCCCCCCCCCCCCCCCCCC@@@@@@AAAAAAAAA@@@??????@@@@@@@@@@@@@@@@@@@@@@@@AAAAAAAAAAAAAAAAAAAAAAAA@@@@@@@@@@@@@@@@@@@@@@@@??????>>>>>>=========<<<<<<<<<<<<<<<<<<===>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>===;;;:::999999::::::777777888888888888777777000000000111111111222222333333333333333333333333222111000111333333111///333333444444444555555555333333333333222222222222444333333333333444555555444444444444444444444444222333555777888888777777666666666666666777888888888888777777999;;;===???DDDLLLYYYkkk{{{vvvqqqrrrvvvxxxyyysssdddYYYWWWZZZaaagggqqq}}}{{{tttpppooopppqqqsssrrrnnnkkkgggjjjjjjgggfffbbbVVVIIIHHHFFFCCCAAAAAABBBDDDEEEJJJQQQZZZ```fffllluuu|||zzztttrrrrrruuuxxxvvvppplllmmmllljjjgggeeedddcccccceeehhhiiimmmrrryyy}}}{{{{{{{{{{{{{{{zzzyyyxxxxxxxxxxxxyyyzzz{{{{{{|||zzz{{{{{{yyyvvvuuuuuuuuutttuuuvvvwwwwwwvvvuuutttuuuuuuuuusssssstttxxx{{{|||||||||}}}~~~~~~}}}tttjjjccc```XXXTTTPPPNNNMMMKKKHHHEEEDDDDDDDDDCCCCCCBBBBBBBBBCCCCCCCCCDDDFFFGGGHHHGGGIIIIIIIIIJJJLLLOOOPPPQQQPPPZZZeeeooo~~~{{{rrrlllgggaaa]]]\\\XXXXXX]]]dddnnn}}}~~~{{{zzz|||}}}{{{kkkbbb^^^ZZZUUURRRPPPOOOMMMLLLLLLKKKKKKKKKKKKJJJJJJJJJFFFEEEDDDCCCCCCDDDFFFGGGFFFEEEEEEFFFGGGGGGEEECCCEEEDDDCCCCCCCCCCCCCCCCCCCCCBBBBBBAAA@@@???>>>>>>@@@@@@@@@@@@@@@@@@@@@@@@???@@@AAAAAAAAAAAA@@@@@@@@@@@@@@@@@@@@@AAAAAAAAA@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@>>>>>>>>>======<<<<<<<<<<<<<<<<<<<<<<<<===>>>>>>========================>>>===;;;:::999999::::::777777777777777777777777111111111111222222222333222222222222222222222222111111000111333333111000444444444444555555555666444444444333333333222222333333333333333444555555444444444444444444444444111222444666777777666666555555666777777777777777888777666666777888:::;;;===BBBJJJUUUaaannnzzzyyymmmiiiqqq|||nnn]]]TTTSSSRRRUUU\\\eeerrrxxxpppmmmnnnoooppprrrvvv{{{xxxbbbTTTNNNFFFAAA@@@AAA@@@???@@@EEELLLRRRXXX```iiiooouuuwwwyyyxxxvvvwww{{{~~~}}}|||yyyrrroookkkfffcccbbbbbbcccbbbfffjjjnnnqqqvvv~~~{{{wwwllliiieee___XXXRRRNNNKKKHHHFFFDDDDDDDDDDDDCCCBBBAAAAAABBBBBBCCCDDDDDDDDDBBBBBBBBBCCCEEEFFFHHHIIIKKKLLLNNNQQQUUUXXX[[[\\\^^^kkk|||xxxmmmjjjfffdddcccbbbaaa```^^^___eeemmmxxxmmmmmmllllllpppwwwuuuiii```[[[ZZZWWWSSSQQQPPPOOONNNLLLJJJJJJJJJJJJIIIIIIIIIIIICCCCCCBBBBBBBBBDDDEEEFFFGGGGGGGGGHHHIIIHHHFFFCCCEEEDDDCCCCCCBBBBBBBBBBBBBBBBBBAAAAAAAAA@@@@@@@@@???????????????????????????@@@@@@AAABBBBBBBBBBBBAAAAAAAAAAAAAAAAAAAAAAAA>>>>>>>>>>>>>>>>>>>>>>>>????????????????????????=========<<<<<<<<<<<<<<<===<<<<<<<<<<<<======>>>==============================;;;:::::::::::::::999888777666666777888999111111222222222333333333222222222111111111111111000000111222222222222111111111111222222222333333444444444333333333333222333333222222333333444555444444444444444444444444444555555666555444333333555666777888999888777666666666666666666888999:::;;;>>>CCCGGGNNNZZZjjjvvv|||uuummmlllsssvvvggg\\\WWWPPPQQQSSSXXXaaannn{{{|||wwwwwwvvvsssrrrvvvfff[[[MMMDDDBBBBBB@@@>>>>>>AAADDDGGGJJJOOOVVV[[[ccceeeggghhhjjjpppzzz}}}wwwoooiiieeecccbbbaaabbbdddfffhhhlllsssxxx{{{zzzqqqjjjddd___\\\UUUTTTQQQOOOKKKIIIFFFEEEBBBAAAAAAAAABBBCCCCCCCCCBBBBBBCCCDDDDDDEEEFFFFFFDDDEEEFFFFFFGGGHHHKKKMMMRRRVVV[[[aaafffjjjnnnqqqwww|||rrrhhhaaa```aaabbbcccfffjjjmmmpppooovvv}}}sssbbbeeejjjooouuu}}}pppfffbbb^^^[[[VVVTTTQQQPPPPPPOOONNNMMMIIIIIIIIIHHHHHHHHHGGGGGGCCCCCCCCCCCCDDDEEEFFFGGGIIIIIIJJJLLLMMMLLLIIIFFFFFFEEEDDDCCCBBBBBBBBBBBBAAAAAAAAAAAABBBBBBBBBBBBAAAAAAAAA@@@@@@@@@@@@@@@>>>???@@@AAABBBCCCCCCCCCBBBBBBBBBAAAAAAAAAAAAAAA>>>>>>>>>>>>>>>>>>>>>>>>????????????????????????<<<<<<<<<<<<<<<<<<;;;;;;======<<<<<<<<<<<<===>>>========================<<<<<<;;;;;;:::::::::::::::888666555555666888:::111111222222222333333333222222222111111000000000///000111222222222222222///000000000111111111111444444333333333222222222333222222222222333444444444444444444444444444444555666666666555555444444666777888999:::999888777444555555666888999;;;;;;999===@@@@@@CCCKKKYYYcccllloooqqqrrrttt}}}|||{{{vvvlllbbbZZZXXXUUUUUUZZZbbbiiinnn|||zzzvvvyyyrrr```QQQJJJGGGDDDBBB@@@AAAAAAAAABBBDDDHHHKKKQQQSSSUUUWWW\\\dddoooxxx{{{tttmmmhhhfffeeedddccccccbbbccceeeiiilllnnnrrrxxx||||||rrrgggccc]]]XXXTTTQQQOOOMMMGGGGGGFFFEEEEEEDDDCCCCCCBBBBBBBBBBBBBBBCCCDDDEEECCCCCCDDDDDDEEEEEEFFFFFFGGGIIIKKKKKKKKKMMMRRRUUU\\\cccmmmvvv~~~|||qqqhhhaaa\\\ZZZZZZ[[[___dddiiiooowwwuuullliiibbbgggnnntttyyy~~~mmmbbb^^^\\\YYYUUUSSSQQQOOOOOOOOOOOONNNLLLHHHHHHHHHHHHGGGGGGGGGGGGEEEEEEEEEFFFGGGHHHIIIIIIIIIJJJLLLOOOQQQQQQNNNKKKIIIHHHGGGEEEDDDCCCCCCCCCAAABBBBBBBBBBBBCCCCCCCCCAAAAAAAAA@@@@@@?????????>>>???@@@AAABBBBBBCCCBBBBBBBBBBBBAAAAAA@@@@@@@@@????????????????????????>>>>>>>>>>>>>>>>>>>>>>>>;;;;;;<<<<<<<<<<<<<<<<<<======<<<<<<<<<<<<======<<<<<<<<<<<<<<<<<<<<<<<<;;;;;;;;;;;;;;;;;;:::::::::888666555555666888:::111111111111222222222333333333222222111000000000...000222222222111222333111111111111222222222222333333333222222222111111222222222222222333444444444444444444444444444444222333333444555666777888666666777888888888888888444555666777999:::;;;<<<888;;;===<<<<<<@@@IIIPPP^^^hhhtttyyyzzz|||~~~vvvgggbbb\\\XXXWWWXXXZZZZZZeeemmmzzzuuueeeZZZRRRLLLIIICCCCCCAAAAAAAAAAAABBBCCCFFFHHHJJJLLLOOOVVV```hhhsssyyy||||||||||||wwwrrrooommmmmmmmmfffeeecccbbbaaabbbcccdddfffjjjnnnqqqrrruuu{{{|||tttnnnggg^^^XXXTTTQQQMMMJJJIIIHHHFFFDDDCCCCCCCCCCCCCCCCCCCCCCCCBBBCCCCCCCCCBBBBBBDDDEEEDDDDDDDDDEEEFFFFFFGGGGGGFFFIIILLLNNNOOOSSSZZZ___iiirrrzzzpppjjjccc\\\XXXUUUSSSVVV[[[ZZZbbbnnnxxx{{{ooofffccceeelllqqqwww|||ssslllccc]]][[[XXXSSSOOOQQQOOONNNNNNNNNNNNMMMKKKHHHHHHHHHHHHGGGGGGGGGGGGFFFFFFGGGGGGHHHHHHIIIIIIHHHIIIKKKOOOSSSTTTSSSRRRMMMLLLJJJHHHFFFEEEEEEEEEBBBCCCCCCCCCCCCCCCCCCCCC@@@@@@??????>>>=========>>>??????@@@AAAAAAAAAAAABBBAAAAAA@@@@@@??????>>>>>>>>>>>>>>>>>>>>>>>>>>>========================<<<<<<<<<<<<<<<=========>>>======<<<<<<<<<<<<===<<<<<<<<<<<<<<<<<<<<<<<<:::;;;;;;<<<<<<;;;::::::999888777666666777888999000000000111111111222222444333333222111111000000---000222333111111222444111111222222222333333333222222111111111000000000222222222111222222333444444444444444444444444444111111222222333555666777555555555555555666777777555666666777888999999999888999::::::999;;;@@@DDDPPP]]]nnnyyy|||vvvnnnhhhccc___ZZZWWW[[[___eeekkkpppuuuzzz~~~uuuiii^^^VVVRRRJJJHHHFFFEEECCCBBB@@@>>>???AAACCCDDDDDDHHHOOOUUU^^^cccfffeeeeeehhhhhhfffjjjiiihhhhhhjjjmmmqqqssslllkkkiiihhhhhhggggggfffgggiiikkkkkkjjjkkkooosssrrruuuxxxzzz}}}yyyjjjfff___YYYUUUQQQMMMJJJIIIGGGFFFEEEEEEEEECCCBBBDDDDDDDDDCCCCCCCCCCCCCCCAAABBBDDDCCCBBBBBBEEEGGGFFFFFFGGGIIIKKKLLLNNNNNNKKKOOOUUUYYY]]]cccmmmttt{{{oooeee```\\\XXXWWWZZZ[[[ZZZ^^^dddjjjwww|||||||||yyytttpppjjjeeehhhnnnxxxssseeeaaa]]]YYYWWWUUURRRPPPOOONNNMMMMMMNNNMMMKKKJJJIIIIIIHHHHHHHHHGGGGGGGGGEEEEEEFFFFFFFFFFFFFFFFFFEEEFFFHHHMMMRRRVVVWWWWWWPPPOOOMMMKKKIIIHHHGGGGGGDDDDDDDDDCCCCCCCCCCCCCCCAAA@@@@@@???>>>>>>======>>>>>>???@@@@@@?????????AAAAAA@@@??????>>>======================================================<<<<<<<<<======>>>>>>>>>>>>>>>===<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<::::::;;;<<<<<<;;;;;;:::777777777777777777777777///000000000000111111111444444333333222111000000---000333333111111222555000000111111111222222222111111111000000000000///222222111111222222333444444444444444444444444444444333222222111111222222444444333222222444555666666777777777777777666666999:::999999999;;;>>>AAABBBOOOaaaqqq{{{xxxqqqiiicccXXXWWWVVVVVVZZZaaajjjqqqxxx|||rrrggg^^^ZZZQQQOOOLLLIIIFFFBBB===:::;;;===??????>>>???DDDHHHKKKPPPTTTSSSSSSUUUVVVSSSRRRSSSUUUYYY___fffmmmpppsssrrrqqqpppppppppnnnmmmkkkmmmmmmkkkggggggiiillliiillloooqqqsssuuuxxxzzzyyy}}}|||vvvrrrkkkaaaZZZRRRQQQOOOLLLJJJGGGFFFEEEBBBAAABBBCCCEEEFFFEEECCCBBBBBBAAAAAA@@@@@@??????@@@BBBEEEDDDCCCDDDGGGJJJHHHJJJLLLNNNQQQSSSUUUVVVWWW]]]dddjjjpppyyytttgggccc^^^[[[\\\WWWVVVZZZcccfffeeehhhooopppkkkllllllpppllllllnnnmmmlllrrr|||zzzmmmbbbYYYWWWTTTQQQPPPPPPQQQRRROOONNNMMMMMMMMMMMMKKKIIIIIIIIIIIIHHHHHHHHHGGGGGGCCCDDDDDDDDDDDDDDDCCCBBBCCCCCCFFFKKKQQQVVVYYYYYYRRRQQQOOOMMMKKKIIIIIIHHHEEEEEEDDDDDDCCCCCCCCCCCCCCCCCCBBBBBBAAA@@@??????>>>>>>?????????>>>>>>===@@@@@@??????>>>======<<<<<<<<<<<<<<<<<<<<<<<<<<<========================<<<=========>>>>>>?????????>>>===<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<999:::;;;<<<<<<<<<;;;:::777777888888888888777777///000111222222111000///000000111111111222222222000000111111222222222222111111111111111111111111111222222333333222222111111111000000111111222333222222222333333444444444222222222333333333444444666555333333333444666888999888777666666777888888888888999999999:::::::::CCCEEEMMMZZZkkk|||tttlllbbbXXXTTTQQQOOOUUU^^^dddmmmyyyzzzssspppnnnmmmppprrrvvvxxxwwwrrrjjjdddTTTUUUUUUQQQKKKFFFEEEEEECCC???===??????===>>>AAABBBCCCDDDEEEEEEEEEEEEEEEFFFIIILLLMMMPPPXXXeeennnzzz}}}{{{wwwrrrooonnnmmmjjjhhhllljjjiiihhhhhhjjjlllmmmlllppptttwww{{{~~~xxxsssoooddd```\\\YYYWWWTTTOOOKKKHHHHHHGGGFFFDDDCCCBBBAAADDDCCCAAAAAABBBCCCBBBBBBEEEEEEDDDCCCBBBCCCFFFIIIDDDFFFHHHHHHHHHHHHIIIJJJTTTSSSSSSTTTXXX^^^eeeiiikkkttt}}}pppeee```[[[UUUTTTXXX]]]\\\eeeuuu}}}~~~uuujjjccc```ccchhhkkkooosssuuuwww|||xxxkkkbbb^^^XXXVVVSSSPPPOOONNNOOOOOONNNNNNNNNMMMLLLKKKKKKJJJKKKKKKKKKKKKKKKJJJJJJIIIFFFFFFEEEEEEDDDDDDCCCCCCAAABBBEEEIIIMMMPPPSSSUUUSSSRRRQQQOOOMMMKKKJJJIIIEEEEEEFFFGGGGGGEEEDDDCCCBBBBBBAAAAAA@@@??????>>>======>>>>>>>>>>>>======>>>>>>>>>>>>==================<<<<<<<<<;;;;;;;;;<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<============>>>===<<<;;;;;;;;;;;;;;;<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<;;;::::::999888888:::::::::999999888888888000000111111111111000000000000111111111222222222000000/////////000000111111111111111111111111111111222222333333222222111111111000000111111222333222222222222333333333444444444444555555555555666333444444555555555555555999888777666666777888888888888888999999999:::::::::===BBBLLL[[[lll{{{sssbbbYYYTTTQQQRRRVVVWWWaaannn}}}~~~ssskkkeeebbbbbbbbbdddkkkqqqsssnnnhhh```___]]]YYYTTTOOOKKKJJJHHHDDDBBBBBBAAA===;;;======>>>??????@@@@@@@@@???>>>@@@BBBCCCEEEMMMXXXaaasssyyy~~~xxxuuutttrrrooommmjjjiiigggfffffffffffffffeeehhhkkknnnqqqtttwwwzzz{{{~~~}}}xxxpppiiiddd___[[[XXXSSSPPPMMMKKKKKKIIIEEEBBBFFFFFFFFFEEEEEEDDDDDDDDDDDDCCCCCCCCCDDDEEEEEEEEECCCCCCCCCCCCCCCEEEHHHKKKFFFGGGHHHIIIKKKNNNSSSVVV[[[]]]aaagggpppzzzqqqfff]]]]]]^^^^^^aaaeeekkkmmmyyyzzzqqqgggbbb```bbbiiiqqqxxx|||~~~qqqiii```ZZZWWWWWWUUUSSSPPPOOOOOOOOOOOONNNNNNMMMLLLLLLKKKJJJJJJKKKKKKLLLLLLKKKKKKJJJIIIFFFFFFFFFEEEDDDDDDCCCCCCEEEFFFGGGHHHIIIJJJKKKLLLOOOPPPQQQRRRPPPMMMJJJGGGEEEFFFFFFFFFFFFEEEDDDDDDBBBBBBAAA@@@???>>>>>>======>>>>>>??????>>>>>>===>>>>>>>>>>>>=========<<<>>>>>>===<<<;;;;;;::::::;;;;;;;;;;;;;;;;;;;;;;;;<<<<<<<<<<<<===============<<<<<<;;;;;;;;;;;;<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<;;;;;;:::999999888888:::::::::999999999888888111111000000000000111111000000000111111111111222000///...---------...///111111111111111111111111111222222333333222222111111111000000111111222333111111111222222222222222444444444444555555555555111333555666777666444333888777777666666777777888888888888999999999999:::777999<<<@@@HHHVVVeeepppnnn```YYYTTTOOOLLLMMMVVVcccpppsssiiiccc___[[[ZZZaaannnvvvwwwtttxxxtttpppmmmiiibbbYYYRRRMMMHHHDDDEEECCC???<<<<<<::::::;;;;;;;;;;;;;;;<<<<<<>>>??????AAAFFFPPPWWWdddmmm|||~~~zzzvvvtttrrrpppnnniiiiiihhhgggeeecccbbbaaa]]]___bbbccceeefffiiikkkmmmooosssvvvxxx|||}}}yyytttnnnhhhdddbbb^^^ZZZUUURRROOOMMMKKKIIIGGGFFFDDDCCCDDDCCCBBB@@@???@@@@@@AAAAAABBBBBBCCCBBBBBBBBBBBBCCCDDDEEEEEEDDDEEEFFFEEEEEEGGGJJJMMMLLLMMMNNNOOOSSSZZZbbbhhhjjjoooxxx|||kkkggg```\\\bbbkkksssxxx|||tttjjjbbb___^^^```ccchhhtttvvviiiccc___ZZZVVVUUUUUUTTTRRRPPPOOOOOOOOOOOOMMMMMMLLLLLLKKKJJJJJJJJJLLLLLLLLLLLLLLLKKKKKKJJJGGGFFFFFFEEEEEEDDDCCCCCCGGGGGGGGGFFFFFFFFFFFFFFFJJJMMMQQQTTTSSSOOOJJJGGGFFFFFFEEEEEEDDDDDDEEEEEEBBBBBBAAA@@@???>>>===<<<>>>??????????????????>>>>>>>>>>>>=========<<<<<<>>>>>>======<<<;;;::::::::::::::::::::::::::::::;;;<<<<<<<<<<<<=========;;;;;;;;;;;;;;;;;;<<<===;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;::::::999999888888:::::::::999999999999888222111000//////000111222000000000000111111111111000///...,,,,,,---...///111111111111111111111111111222222333333222222111111111000000111111222333111111111111111111111111111111222222222333333333222333444555555555444444666666666666777777777888888888888888999999999999:::<<<>>>===>>>EEEQQQ[[[mmm}}}qqqfff]]]TTTOOOMMMTTT[[[dddrrr}}}vvvnnngggaaaaaajjjttt{{{~~~xxxiii\\\RRRKKKEEEEEEDDDAAA@@@AAA<<<<<<<<<;;;;;;<<<<<<<<>>>>>???@@@@@@AAABBBBBBBBBCCCDDDDDDDDDEEEGGGIIIJJJKKKMMMMMMMMMNNNPPPSSSVVVXXX\\\```eeemmmvvv|||wwwiii___eeedddiiivvvtttgggbbb___aaaeeekkkpppvvvtttjjjaaa^^^\\\WWWSSSSSSSSSRRRQQQOOOOOONNNNNNOOOKKKKKKKKKJJJJJJJJJIIIIIILLLLLLMMMMMMLLLLLLKKKJJJGGGGGGFFFFFFEEEDDDDDDCCCCCCDDDDDDEEEFFFFFFGGGGGGHHHKKKOOORRRRRRPPPLLLIIIGGGFFFEEECCCCCCDDDEEEEEEBBBAAAAAA@@@>>>======<<>>>>>=========<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<::::::::::::::::::::::::;;;;;;;;;<<<<<<<<<======::::::::::::;;;<<<<<<===;;;;;;;;;;;;;;;;;;;;;;;;::::::::::::999999888888999999999999999999999999222111000//////000111222000000000000000000000000111000///.........///000111111111111111111111111111222222333333222222111111111000000111111222333111111111111111111111111111111111222222222333333444333333222333444555666555555666666777777777777777777888888888999999999:::===@@@???===???EEEKKKWWWdddwwwxxxlllbbb[[[SSSUUUWWWZZZdddsss~~~~~~tttkkkiiinnnxxx~~~ppp```UUUKKKGGGFFFDDDCCCDDD@@@???>>>>>>===>>>??????>>>===<<<;;;<<<>>>BBBDDDFFFLLLVVV___ccceeeeeeeee___^^^]]]\\\[[[[[[\\\]]]___```bbbccccccaaa___]]]YYY[[[\\\\\\[[[\\\]]]______```aaabbbbbbdddhhhkkkppprrruuuvvvwwwwwwyyy{{{{{{}}}zzztttnnnjjjddd___ZZZVVVRRROOOJJJJJJIIIIIIHHHGGGGGGGGGGGGEEEDDDCCCDDDDDDCCCAAA??????@@@??????>>>??????BBBBBBBBBCCCCCCDDDDDDDDDDDDFFFHHHIIIIIIJJJNNNPPPPPPSSSXXX\\\___aaaccceeeeeejjjrrr{{{}}}tttlllddd```^^^iiiqqq~~~sssiiidddeeekkkmmmttt|||sssiiifff^^^YYYWWWUUUPPPMMMMMMPPPOOOOOONNNNNNMMMMMMMMMJJJJJJJJJIIIIIIIIIIIIIIILLLLLLLLLLLLLLLKKKJJJJJJGGGGGGGGGFFFEEEEEEDDDDDDCCCCCCDDDEEEFFFGGGGGGHHHHHHIIIKKKMMMNNNNNNMMMLLLGGGFFFDDDCCCCCCCCCDDDEEEAAAAAA@@@@@@???>>>>>>>>>??????@@@@@@@@@@@@??????============<<<<<<<<<<<<:::;;;;;;<<<===>>>??????;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;<<<<<<<<<<<<:::::::::::::::;;;<<<===;;;;;;;;;;;;;;;;;;;;;;;;:::999999999999999888888999999999999999999999999111111000000000000111111111000000000000000////////////000000111111111111111111111111111111111111111222222333333222222111111111000000111111222333222222222222222111111111333333333333444444444444555444222111111333555777444444555666777777777777777777777888888888888999444888<<<>>>>>>>>>@@@BBBFFFOOO]]]nnn}}}yyyqqqjjj`````````aaagggoooppplllkkksssxxxxxxssseeeXXXQQQNNNIIIFFFFFFCCCBBBAAA@@@???@@@AAABBBAAA@@@>>>======>>>@@@AAAAAAEEEIIIMMMNNNOOOPPPQQQNNNOOOOOOOOONNNOOORRRTTTSSSTTTVVVXXXXXXWWWVVVUUUUUUVVVXXXXXXXXXXXXYYY[[[[[[[[[\\\\\\\\\^^^bbbeeehhhjjjlllmmmllllllmmmnnnqqqrrrssssssrrrrrrtttuuuwwwyyy}}}~~~|||{{{wwwuuurrrppplllgggaaa]]]XXXUUUQQQOOOMMMKKKHHHFFFDDDCCCCCCCCCBBBBBBBBBAAABBBAAA@@@@@@AAAAAA???>>>???@@@AAAAAA@@@???@@@BBBAAAAAABBBBBBCCCDDDDDDEEECCCGGGKKKNNNOOORRRWWW\\\```gggpppyyyxxxqqqlllhhhdddccc```___dddjjjxxxzzzsssmmmiiilllppp|||}}}zzzkkkaaa\\\ZZZUUURRRRRRQQQMMMLLLMMMLLLLLLLLLLLLLLLLLLLLLLLLHHHHHHHHHHHHHHHHHHHHHHHHKKKKKKKKKKKKKKKJJJJJJIIIHHHGGGGGGFFFFFFEEEDDDDDDFFFFFFFFFFFFEEEEEEEEEEEEHHHHHHHHHIIIJJJKKKLLLMMMEEEEEEDDDDDDCCCCCCDDDDDD@@@@@@@@@@@@@@@@@@@@@@@@>>>??????????????????>>>=========<<<<<<<<<;;;;;;::::::;;;<<<>>>???@@@@@@<<<<<<<<<<<<<<<<<<<<<<<<:::;;;;;;;;;;;;<<<<<<<<<::::::::::::::::::;;;<<<::::::::::::::::::::::::999999999999999999888888888999999999999:::::::::000000111111111111000000111111000000////////////,,,---///111222222111111111111111111111111111111111222222333333222222111111111000000111111222333444333333333222222222222222333333333333444444444333333222333333333444444333444555777777777777666777777777777888888888888444666999;;;============<<>>>>>??????>>>>>>=========<<<<<<<<<;;;;;;;;;============>>>>>>>>>>>>;;;;;;;;;;;;;;;;;;;;;;;;::::::;;;;;;;;;<<<<<<<<<;;;;;;::::::999:::::::::::::::::::::::::::::::::888888888888888888999999888888999999999:::::::::///000111222222111000///111111000000/////////...))),,,///222333333111000111111111111111111111111222222222333333222222222111111111000111222222333444444444333333222222222000000111111111222222222000111333555555444333222222333555777777777777666777777777777888888888888999999999:::<<<<<<;;;999888<<>>@@@BBBBBBAAAAAAAAABBB@@@BBBCCCAAA??????BBBEEEDDDDDDDDDEEEEEEDDDDDDDDDCCCEEEGGGHHHIIIJJJLLLNNNNNNOOOPPPQQQSSSWWW\\\```]]]___bbbccccccdddfffgggdddeeedddccc```___```bbbbbbccceeeeeefffgggjjjlllllllllmmmnnnpppqqqrrrrrrtttvvvwwwwwwvvvuuuvvvwwwxxxyyy{{{||||||zzzwwwuuuvvvwwwyyy{{{{{{{{{zzzyyyzzz|||}}}|||xxxwwwxxxzzzyyyyyyxxxxxxvvvsssqqqoooqqqnnnjjjjjjjjjggg```ZZZZZZZZZYYYXXXVVVTTTSSSRRRQQQOOOMMMLLLMMMLLLKKKIIIJJJHHHFFFDDDDDDBBB@@@>>>::::::;;;<<<===>>>>>>???>>>>>>>>>???AAABBBAAA???:::===@@@AAA@@@AAADDDGGGGGGHHHJJJMMMOOORRRTTTUUUYYY```iiipppvvv~~~yyyooogggeeebbb``````______^^^^^^^^^dddoooxxx{{{yyyyyy}}}wwwiiiccc___XXXUUUVVVTTTOOOMMMNNNMMMJJJJJJMMMGGGHHHIIIIIIJJJJJJIIIIIIGGGGGGGGGGGGGGGGGGGGGHHHIIIIIIJJJJJJIIIIIIHHHGGGHHHHHHGGGGGGFFFEEEEEEEEEDDDDDDDDDDDDDDDDDDCCCCCCDDDEEEFFFHHHIIIIIIIIIHHHCCCDDDEEEEEEEEEDDDBBBAAA???@@@@@@AAACCCDDDDDDEEE======>>>>>>>>>>>>============<<<<<<<<<;;;;;;;;;?????????>>>======<<<<<<:::::::::::::::::::::::::::::::::;;;;;;;;;<<<<<<<<<;;;;;;:::999999999999::::::::::::::::::::::::888888888888888888999999888888888999999:::::::::000000111111111000000///000000000000000000000000111...,,,---///111///---000000111111111111000000111222333444333333111000222111000000//////000000222222222222222222222222333333333444444444555555444444444555666777777888777777666666555555444444666666666666666666666666999999888888999999:::;;;>>>@@@BBBCCCEEELLLWWW```kkkrrryyyzzzzzz~~~~~~mmmaaaXXXXXX[[[```hhhppp}}}xxxuuuzzzqqqkkknnnpppjjj```YYYUUUUUUQQQMMMMMMPPPOOOLLLMMMJJJJJJKKKJJJEEECCCEEEBBBBBBBBBAAA@@@???===<<<===============>>>????????????>>>??????@@@AAABBBAAAAAAAAAAAABBBDDDEEEEEEFFFFFFFFFHHHKKKOOOSSSUUUUUUUUUVVVXXXZZZ\\\^^^___``````aaaaaa___]]]ZZZYYY[[[[[[[[[[[[\\\]]]^^^___bbbbbbdddeeefffggggggggglllkkkkkkjjjiiiiiihhhhhhjjjjjjjjjiiihhheeecccbbbbbbdddfffhhhiiiiiihhhggghhhhhhhhhhhhhhhgggfffeeeddddddcccbbb```]]][[[ZZZ]]]\\\ZZZXXXVVVTTTTTTSSSOOOOOONNNNNNMMMMMMLLLLLLIIIIIIIIIHHHHHHHHHGGGGGGHHHHHHFFFDDDBBB@@@???>>>>>>>>>>>>===>>>>>>??????===???AAAAAAAAAAAAAAACCCEEEFFFFFFFFFEEEEEEGGGIIILLLMMMQQQVVV[[[___cccdddllluuu{{{qqqgggdddgggcccbbbaaa`````````aaaaaaaaannn}}}~~~sssssswwwwww~~~kkkgggaaaZZZTTTQQQOOONNNLLLKKKJJJIIIIIIHHHIIIIIIGGGHHHHHHIIIIIIHHHHHHGGGFFFGGGGGGHHHIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIGGGFFFFFFFFFEEEEEEDDDDDDDDDDDDDDDDDDEEEEEEEEEEEEEEEFFFFFFFFFFFFGGGGGGGGGDDDCCCCCCCCCBBBBBBBBBBBBDDDCCCBBBBBBBBBBBBCCCDDD@@@@@@@@@???>>>======<<<<<<<<<;;;;;;;;;;;;<<<<<<>>>>>>======<<<<<<<<<;;;<<<;;;::::::999999999999;;;;;;;;;;;;;;;;;;;;;;;;<<<<<<<<<;;;;;;:::::::::======<<<;;;;;;:::999999999999999888888888777777777777888888888888777777//////000000000//////...000000000000000000000000222000......000111000///000000111111111111000000000111222333333333222222333333222111111111111222222222222222222222222222333333333444444444444555444444444555666777777777777777777666666555555555666666666666666666666666999888888888888999:::::::::<<<>>>>>>>>>CCCLLLSSS___iiiuuu{{{}}}{{{mmm^^^WWWTTTTTTYYY```jjjttt~~~{{{rrrmmmnnniiigggmmmrrrpppllliiicccdddbbb___^^^```^^^YYYVVVOOOKKKJJJJJJFFFEEEGGGFFFEEEEEEDDDDDDCCCBBBBBB>>>>>>=========>>>>>>???>>>>>>>>>===>>>>>>??????============>>>???@@@AAA@@@@@@AAABBBEEEHHHJJJLLLLLLLLLMMMNNNPPPRRRTTTUUUXXXZZZ[[[\\\\\\[[[ZZZYYYUUUUUUUUUVVVWWWXXXYYYZZZ[[[\\\]]]___```aaaaaaaaabbbbbbbbbaaaaaaaaa``````^^^^^^^^^]]]\\\YYYWWWVVVUUUVVVXXXZZZ[[[ZZZYYYYYYYYYYYYYYYYYYXXXXXXXXXWWW[[[[[[ZZZZZZXXXWWWUUUUUUQQQPPPNNNMMMKKKJJJJJJJJJJJJJJJJJJIIIIIIHHHHHHHHHHHHHHHHHHGGGGGGGGGGGGFFFDDDCCCBBBAAA@@@???>>>>>>@@@@@@???>>>>>>>>>>>>>>>@@@BBBDDDDDDDDDCCCDDDFFFDDDFFFHHHIIIJJJLLLOOOQQQVVVZZZ```fffkkkqqqwww{{{zzzqqqiiieee```[[[[[[___ccceeehhhjjjjjjkkknnnppptttmmmqqqvvvvvviiibbb___ZZZTTTPPPNNNMMMMMMLLLKKKJJJIIIIIIHHHHHHIIIIIIIIIJJJJJJJJJJJJIIIIIIGGGGGGHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHFFFFFFEEEEEEEEEDDDDDDDDDEEEEEEEEEEEEDDDDDDDDDDDDDDDDDDEEEEEEEEEFFFFFFFFFCCCCCCBBBBBBBBBBBBAAAAAABBBAAA@@@??????@@@AAABBB@@@@@@??????>>>======<<<===<<<<<<;;;;;;<<<<<<===>>>=========<<<<<<<<<<<<<<<;;;::::::999999999:::;;;;;;;;;;;;;;;;;;;;;;;;<<<<<<;;;;;;;;;:::::::::<<<<<<;;;;;;:::999999999:::::::::999999999888888999999::::::::::::999999......////////////......000000000000000000000000222111//////111111111000000000111111111111000000000000111222333333333222555444333333222222333333222222222222222222222222333333333333444444444444444444444555666666777777777777777777666666666666666666666666666666666666888888888888888999999:::888:::;;;;;;:::<<>>>>>==================;;;;;;;;;;;;;;;<<<===>>>:::;;;<<<>>>???AAABBBCCCCCCCCCDDDEEEFFFHHHJJJKKKNNNOOORRRTTTVVVVVVVVVVVVOOOOOOOOOPPPQQQRRRTTTTTTRRRSSSTTTUUUVVVWWWWWWWWWTTTTTTTTTUUUUUUUUUVVVVVVVVVWWWWWWVVVUUUSSSQQQPPPMMMNNNPPPQQQRRRQQQQQQPPPPPPPPPOOONNNNNNNNNNNNOOOPPPPPPPPPPPPOOONNNMMMLLLIIIIIIHHHGGGFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEEEEEEGGGGGGFFFFFFFFFEEEEEEEEEAAA@@@@@@??????>>>>>>>>>>>>>>>>>>>>>>>>?????????AAACCCEEEEEEDDDEEEFFFHHHGGGJJJMMMPPPTTTXXX]]]aaajjjqqqyyyzzzrrrjjjeeeaaa]]]ZZZZZZZZZZZZ\\\```hhhooowww{{{}}}~~~yyyrrrkkklllsss{{{}}}pppddd\\\YYYWWWSSSPPPMMMLLLLLLLLLLLLKKKJJJIIIHHHHHHHHHHHHIIIIIIJJJJJJJJJJJJIIIIIIGGGGGGHHHHHHHHHGGGFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFDDDDDDDDDDDDDDDCCCCCCCCCFFFFFFEEEEEEDDDDDDCCCCCCCCCCCCCCCDDDDDDDDDEEEEEECCCBBBBBBBBBBBBAAAAAAAAAAAA@@@@@@??????@@@@@@AAA@@@??????>>>>>>======<<<===<<<<<<;;;;;;<<<<<<===============<<<<<<<<<<<<;;;;;;:::999999999::::::;;;;;;;;;;;;;;;;;;;;;;;;<<<;;;;;;;;;;;;:::::::::;;;;;;::::::999999888888999999999888888888777777999999::::::::::::999999......//////000000//////000000000000000000000000111000//////000000000000000000111111111111000000111222222222222111111111555444333333222222333333111111111111111111111111222222333333333444444444444444444555555666666666777777777777777777777777666666666666666666666666777777777777777888999999888:::<<<<<<;;;;;;===@@@CCCOOO^^^kkkttt}}}~~~lll\\\RRRNNNMMMMMMPPPVVV]]]gggrrr|||}}}wwwxxxrrrnnnkkkhhheeeggglllzzz|||ooobbb^^^[[[UUUNNNJJJFFFEEECCCBBBCCCDDDFFFGGGGGGFFFEEEDDDCCCCCCCCCCCC????????????>>>>>>======<<<<<<;;;;;;;;;<<<======::::::<<<===>>>>>>>>>>>>??????@@@@@@BBBCCCDDDEEEEEEFFFHHHKKKLLLNNNNNNNNNLLLKKKKKKKKKKKKLLLMMMMMMIIIJJJKKKLLLMMMMMMMMMMMMHHHIIIJJJJJJLLLLLLMMMNNNSSSTTTTTTTTTSSSRRRPPPOOOLLLMMMNNNNNNNNNNNNMMMMMMMMMLLLKKKJJJJJJKKKLLLLLLJJJJJJJJJJJJIIIGGGFFFFFFFFFEEEEEEEEEEEEFFFFFFGGGEEEEEEFFFFFFFFFFFFFFFFFFFFFEEEEEEEEEEEEDDDDDDDDDAAAAAA@@@@@@????????????===>>>@@@BBBCCCEEEFFFFFFDDDFFFGGGHHHHHHJJJLLLNNNQQQSSSVVV[[[aaajjjtttzzzsssqqqmmmiiieee```\\\YYY]]]]]]```ccceeegggjjjnnnvvv}}}tttsssqqqqqqooonnnooottt}}}ssshhhbbb^^^[[[UUUTTTQQQOOOMMMMMMMMMMMMKKKKKKJJJIIIHHHHHHHHHHHHGGGGGGGGGHHHHHHGGGGGGGGGGGGGGGHHHHHHGGGFFFEEEEEEFFFFFFFFFFFFFFFFFFFFFFFFCCCCCCCCCCCCCCCCCCCCCCCCGGGFFFFFFEEEDDDCCCCCCBBBCCCCCCDDDDDDDDDEEEEEEEEECCCCCCCCCCCCBBBBBBBBBBBBBBBBBBAAAAAAAAAAAABBBBBB??????>>>>>>==================<<<<<<<<<<<<=====================<<<<<<<<<;;;::::::999999:::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:::::::::999999888888888888777777777666666666666777777888888888888777777...///000111111111111111/////////////////////////////////.........///000000000111111111111000000444333222111000000//////333222222111111111111111111111111111111111111111222222222333333333444444444444444444555555555555666666666666666777777777666666666666666666666666777777666666777777888999888999;;;<<<<<<======>>>>>>EEEOOOYYYdddrrryyyhhh[[[RRRMMMPPPOOOPPPUUU[[[bbbiiimmmvvvzzzyyysssmmmhhhdddccchhhpppwwwxxxtttoooeeeYYYRRRKKKJJJHHHGGGFFFHHHIIIJJJIIIHHHGGGEEEDDDCCCCCCCCCBBBBBBCCCCCCBBBAAA@@@???>>>======<<<<<<<<<======;;;;;;<<<=========<<<<<<>>>>>>>>>>>>???@@@AAABBB@@@AAABBBCCCDDDDDDEEEEEEHHHGGGFFFEEEEEEDDDDDDEEECCCDDDDDDEEEFFFFFFFFFFFFBBBBBBCCCEEEFFFGGGHHHIIIMMMNNNNNNOOONNNMMMKKKJJJIIIIIIIIIIIIIIIIIIHHHHHHHHHGGGGGGGGGGGGGGGHHHHHHJJJJJJIIIHHHFFFDDDBBBAAA@@@???@@@@@@AAABBBCCCDDDDDDDDDDDDEEEEEEFFFFFFFFFEEEEEEEEEDDDDDDDDDCCCCCCAAAAAAAAA@@@@@@??????>>>@@@BBBDDDGGGIIIKKKKKKLLLKKKLLLOOOQQQRRRUUUYYY\\\```bbbffflllvvv}}}wwwnnngggddddddbbb```^^^]]]\\\\\\ZZZaaajjjqqqwww~~~|||pppkkkkkkrrrrrrsssvvv{{{zzzkkk```YYYWWWWWWWWWSSSRRRPPPNNNMMMLLLLLLLLLKKKJJJIIIHHHHHHGGGGGGHHHFFFGGGGGGGGGGGGGGGGGGFFFGGGGGGGGGGGGFFFEEEDDDDDDFFFFFFFFFFFFFFFFFFFFFFFFBBBBBBBBBBBBCCCCCCCCCCCCGGGFFFFFFEEEDDDCCCCCCBBBDDDDDDDDDEEEEEEEEEFFFFFFDDDDDDDDDCCCCCCCCCCCCBBB@@@AAAAAAAAAAAAAAAAAA@@@>>>>>>>>>========================<<<<<<=========<<<<<<<<<===============:::::::::999999::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;::::::999999999999888888999999888888888777777777777777888888888888777777...///000111111222222111////////////////////////.../////////------...000000000111111111111000000444333222111000/////////222111000000//////000000111111111111111111111111222222222222333333333333444444444444444444444444555555555555666666666666666666666666666666666666666666666666666777777888666777888:::;;;<<<<<<<<<<<>>===============<<<<<<<<<<<<<<<<<<<<<<<<===============>>>???@@@?????????>>>????????????BBBAAA@@@???>>>>>>======??????@@@AAAAAAAAAAAAAAA??????@@@BBBCCCEEEFFFFFFIIIJJJKKKLLLLLLKKKIIIIIIHHHHHHHHHGGGGGGFFFFFFFFFEEEFFFGGGGGGHHHGGGGGGGGGJJJIIIHHHGGGEEEBBB@@@???>>>>>>>>>???@@@AAABBBCCC@@@@@@AAABBBCCCCCCDDDDDDEEEEEEDDDDDDDDDCCCCCCCCCAAAAAAAAAAAAAAAAAAAAAAAADDDFFFHHHLLLNNNOOOPPPPPPTTTWWWZZZ^^^aaaggglllpppxxx{{{uuukkkgggeeecccaaa\\\\\\]]]\\\[[[\\\___bbbcccpppyyytttsssttt{{{|||}}}nnnhhh___WWWSSSRRRRRRQQQOOOOOOMMMLLLKKKJJJIIIIIIKKKJJJIIIHHHGGGGGGGGGGGGHHHHHHIIIIIIIIIIIIHHHHHHEEEEEEFFFFFFFFFEEEEEEDDDFFFFFFFFFFFFFFFFFFFFFFFFBBBBBBBBBCCCCCCCCCCCCCCCFFFFFFEEEEEEDDDDDDCCCCCCDDDDDDEEEEEEEEEFFFFFFFFFDDDDDDCCCCCCCCCBBBBBBBBB===>>>>>>??????>>>>>>===========================>>>======<<<<<<======>>><<<<<<<<<===============::::::999999999:::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:::::::::;;;;;;;;;;;;<<<::::::::::::::::::999999;;;;;;;;;::::::::::::999999999::::::::::::999999---...///000111111111111////////////////////////...000111000...---///111000000111111111111000000111111000//////000111222111111000////////////000111111111111111111111111111222222222222333333333444444444444444444444444333444444444555555555666666666666666666666666666666555555555555666777777666666777888:::;;;;;;;;;:::;;;===@@@FFFPPP]]]eeevvvzzzuuupppjjjhhhbbb___aaa```[[[WWWXXXWWWXXXZZZ\\\___dddlllrrr{{{wwwvvvzzz{{{zzz{{{~~~~~~|||ssskkkhhh\\\[[[YYYWWWUUUSSSQQQPPPNNNMMMJJJHHHFFFDDDCCCCCCEEEFFFHHHIIIIIIHHHGGGFFFDDDCCCBBBAAA@@@@@@@@@@@@???>>>===<<<<<<===>>>???>>>============>>>>>>?????????>>>>>>======>>>>>>======<<<<<<<<<<<<======<<<<<<===>>>>>>>>>>>>=========>>>???AAABBBCCCCCCGGGHHHIIIJJJJJJIIIHHHHHHHHHGGGFFFEEEDDDDDDCCCCCCCCCEEEGGGIIIIIIHHHFFFEEEEEEEEEDDDCCCBBB@@@>>>===?????????@@@AAABBBCCCDDD>>>>>>???@@@AAABBBCCCCCCEEEEEEEEEDDDDDDDDDDDDCCCBBBBBBDDDEEEGGGIIIJJJJJJOOORRRWWW\\\aaaeeeggggggkkknnnrrrwww}}}~~~zzzwwwnnniiiccc___```bbbeeefff^^^```ccceeeggglllrrrwwwwwwjjjaaa]]]XXXTTTQQQOOOOOONNNLLLLLLKKKKKKJJJJJJJJJJJJKKKJJJIIIHHHGGGGGGGGGGGGHHHHHHIIIIIIIIIIIIHHHHHHDDDDDDEEEEEEFFFEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEBBBBBBCCCCCCDDDDDDDDDDDDEEEEEEEEEEEEDDDDDDDDDDDDCCCCCCCCCDDDDDDDDDEEEEEEBBBBBBAAAAAAAAA@@@@@@@@@======>>>??????>>>==============================>>>>>>============>>>>>><<<<<<<<<<<<=========>>>:::999999999::::::;;;<<<;;;;;;;;;;;;;;;;;;;;;;;;:::::::::;;;;;;;;;<<<<<<::::::::::::::::::;;;;;;::::::::::::999999999999999999::::::::::::999999,,,---...///000000000000///////////////////////////111222111///...000333000000111111111111000000///.........000222444555222111111000///000000000000000000000000000000000111111222222222333333333444444444444444444444444333333333444444444555555666666666666666666666666555555555555555666777777999888888999:::;;;;;;:::888999;;;===@@@FFFMMMRRRbbbooozzz|||{{{|||xxxxxxuuukkkdddcccYYYXXXUUURRRQQQUUU]]]dddlllmmmtttzzzvvvttttttwwwuuuooolllllllllkkkjjjgggdddaaa^^^\\\RRRQQQOOOLLLJJJHHHGGGFFFEEEFFFHHHJJJJJJJJJIIIHHHIIIHHHGGGFFFEEEDDDDDDDDDCCCAAA@@@??????@@@BBBCCC@@@???????????????@@@@@@@@@??????>>>>>>?????????;;;;;;;;;<<<===>>>@@@@@@:::;;;;;;<<<<<<<<<<<<;;;<<<<<<===>>>???@@@AAAAAABBBCCCDDDEEEEEEEEEDDDCCCCCCBBBAAA??????>>>>>>>>>>>>@@@CCCFFFFFFEEEBBB@@@@@@@@@@@@@@@???>>>===<<<=========>>>???@@@AAABBB>>>??????AAABBBCCCDDDEEEFFFEEEEEEEEEDDDDDDDDDDDDDDDEEEHHHKKKNNNPPPSSSTTT```dddkkkttt|||}}}xxxsssqqqrrrqqqooollliiigggeeeccc[[[[[[[[[\\\```dddiiikkkiiimmmrrrwww||||||oooeee^^^VVVTTTQQQNNNLLLKKKKKKKKKKKKKKKKKKLLLLLLMMMMMMMMMJJJJJJIIIHHHGGGGGGGGGGGGFFFFFFFFFGGGGGGFFFFFFFFFCCCCCCDDDEEEEEEFFFEEEEEEDDDDDDDDDDDDDDDDDDDDDDDDCCCCCCCCCDDDDDDDDDEEEEEEDDDDDDDDDDDDEEEEEEEEEEEEBBBBBBBBBCCCCCCCCCDDDDDD@@@@@@@@@?????????>>>>>>>>>???@@@AAAAAA@@@???>>><<<<<<<<<===============>>>>>>============>>>>>>;;;<<<<<<<<<======>>>>>>999999999999::::::;;;<<<;;;;;;;;;;;;;;;;;;;;;;;;:::::::::;;;;;;<<<<<<<<<;;;;;;;;;;;;;;;;;;;;;;;;777777777777666666666666777777888888888888777777///////////////000111111---------............///000///...------...///000000000000000111111111111111111000000000000111111000000////////////000000111111111111111111111111111111111111111111111111444444444333333222222222222333444444555555444444555444333222222333444555444444555555666666777777888888999:::::::::::::::999999999:::===@@@DDDFFFNNNWWWfffsss|||sssnnnaaaUUUQQQQQQRRRTTTVVVYYY___nnn}}}vvvqqqrrrqqqlllmmmqqqqqqxxxzzztttpppdddVVVOOOOOONNNIIICCCHHHHHHIIIKKKMMMNNNNNNMMMJJJLLLJJJEEEDDDEEEEEEBBBDDDAAA===<<>>===;;;;;;;;;;;;<<<<<<<<<<<>>=====================>>>?????????>>>>>>AAAAAA@@@??????@@@AAAAAAAAA???===<<<<<<;;;;;;:::BBBBBBBBBBBBAAA???>>>===BBBBBBBBBAAA@@@>>>===<<<999<<<@@@BBBAAA@@@@@@AAA@@@@@@AAACCCFFFHHHHHHGGGJJJMMMOOONNNLLLLLLNNNPPPKKKSSS\\\```aaacccjjjpppwww}}}}}}wwwoookkklllooorrrssssssppplllfffaaa]]][[[YYY^^^^^^^^^aaagggrrr~~~uuujjjbbb\\\XXXUUUSSSPPPMMMKKKIIIIIIHHHLLLKKKJJJIIIIIIJJJKKKLLLKKKJJJHHHGGGFFFFFFGGGGGGFFFFFFFFFFFFFFFGGGGGGGGGEEEEEEDDDDDDDDDDDDEEEEEEEEEEEEDDDCCCCCCCCCCCCCCCBBBAAA@@@??????@@@AAABBBDDDDDDDDDDDDEEEEEEEEEEEEBBBBBBCCCCCCCCCCCCBBBBBBBBBBBBBBBAAA@@@???>>>===??????@@@@@@@@@??????>>>===<<<;;;;;;<<<===>>>???@@@@@@>>>===<<<<<<<<<<<<============>>>>>>>>>>>>===<<<<<<<<<<<<;;;;;;;;;<<<;;;;;;::::::;;;;;;<<<<<<<<<<<<;;;;;;:::::::::;;;;;;;;;:::999888777666666777888999999888777666888777666555555666777888///////////////000000111........./////////000000000///...------...///000//////000000000111111111111111000000000000111111111111000000000000111111222222222222222222222222444444444444444444444444444444333333333222222222222333444444555444444444555555444333333444555555555555555555555666666666555555666777777777777777888888888999;;;>>>AAACCCDDDLLLXXXdddoooyyyxxxggg]]]VVVPPPNNNOOOUUUYYYdddsss|||uuuuuuuuutttvvvzzz}}}lll```[[[WWWRRRMMMIIIIIIKKKNNNQQQSSSTTTTTTSSSUUURRRMMMJJJKKKIIIFFFIIIFFFCCCAAACCCFFFHHHIIILLLLLLMMMMMMMMMLLLKKKJJJJJJKKKKKKJJJIIIFFFCCCAAA>>>>>>>>>>>>=====================<<<<<<======>>>::::::;;;;;;<<<<<<;;;;;;?????????>>>>>>>>>=========<<<<<<<<<============>>>>>>???@@@@@@AAAAAA@@@>>>>>>>>>>>>>>>>>>======:::===???@@@>>>===>>>@@@BBBBBBBBBDDDGGGKKKOOORRRXXX[[[^^^______```bbbdddkkkoootttxxxzzzyyy~~~{{{wwwsssqqqpppoooooojjjgggfffiiiqqqzzz{{{sssjjjdddaaaaaa```dddlllvvvttthhh```[[[VVVRRRRRRQQQNNNKKKIIIIIIIIIIIIJJJIIIIIIHHHHHHIIIJJJKKKMMMLLLKKKIIIIIIIIIIIIIIIFFFFFFFFFFFFFFFFFFFFFFFFDDDDDDCCCCCCCCCCCCDDDDDDEEEEEEDDDCCCCCCCCCCCCCCCDDDDDDCCCBBBBBBCCCDDDDDDEEEEEEDDDDDDDDDDDDDDDDDDBBBCCCCCCDDDDDDCCCCCCBBB@@@@@@@@@@@@@@@@@@?????????@@@@@@AAA@@@@@@??????===<<<<<<;;;<<<===>>>???@@@???>>>===<<<<<<<<<<<<<<<=========>>>>>>>>>>>><<<<<<<<<<<<;;;;;;;;;;;;;;;;;;::::::::::::;;;;;;<<<<<<;;;;;;;;;:::::::::::::::::::::999999888777777777777888888777777777888777666555555666777888//////......//////000111////////////000000000111//////............////////////000000000000111111111000000//////000000111222222111111111111222222000000000000000000000000333333333333333333333333333333333333222222222222222222333444444444444444666555444444444444555666555555555555555555444444444444555666666666666555888888888888999;;;>>>???===AAAHHHQQQ\\\iiivvvttteeeXXXPPPNNNMMMOOOVVV```jjjwwwzzzooofff^^^XXXQQQQQQRRRUUUXXX\\\```bbbbbbccc___WWWQQQOOOLLLGGGHHHEEECCCBBBDDDGGGHHHIIIMMMNNNPPPQQQQQQPPPNNNMMMPPPQQQRRRRRRPPPMMMIIIGGGCCCCCCBBBAAA@@@???>>>>>><<<<<<<<<<<<===>>>??????======>>>>>>>>>>>>======>>>>>>>>>>>>>>>===<<<;;;:::;;;<<<===>>>??????@@@===>>>??????@@@AAABBBBBBAAAAAAAAAAAAAAAAAAAAA@@@???AAACCCCCCAAABBBEEEHHHKKKLLLMMMNNNQQQYYYccckkkxxx{{{yyyrrrnnnjjjgggiiiiiigggccc```___aaadddeeefffjjjsssvvvooonnnoooqqqzzz}}}}}}}}}}}}~~~mmmhhhaaa]]]\\\ZZZVVVSSSPPPOOOLLLIIIHHHHHHIIIJJJHHHHHHGGGGGGHHHIIIJJJJJJMMMLLLKKKJJJJJJJJJJJJJJJGGGGGGGGGFFFFFFEEEEEEDDDCCCBBBBBBBBBBBBBBBBBBCCCEEEEEEDDDDDDCCCCCCDDDDDDEEEDDDCCCCCCCCCCCCDDDEEEEEEEEEDDDDDDCCCCCCCCCBBBCCCCCCDDDDDDDDDDDDCCCCCC@@@???>>>>>>>>>???AAABBB??????@@@@@@AAA@@@@@@???===<<<<<<<<<<<<===>>>>>>??????>>>===<<<<<<<<<<<<<<<<<<=========>>>>>>>>><<<<<<<<<<<<;;;;;;;;;;;;;;;::::::999999::::::;;;;;;;;;;;;;;;::::::::::::999999:::::::::999999888888777777666666777777888777777666666666666777777///............///000000....../////////000000000/////////....../////////////////////000000000111000000////////////000000222111111000000111111222........................000000000000000000000000333222222222222222222222222222333444444444444333555555555555555555555555666555555444444333333333444555666666777777666666888888888888999:::;;;<<<===>>>@@@CCCKKKVVVccckkk~~~zzziii]]]YYYNNNNNNQQQUUU[[[eeewww{{{nnnfff_________```eeellltttzzz|||zzzrrrfff\\\VVVPPPJJJGGGEEECCCCCCEEEHHHJJJJJJMMMMMMOOOPPPPPPPPPPPPOOOPPPQQQSSSTTTSSSPPPMMMKKKGGGGGGFFFDDDCCCBBB@@@@@@=========>>>???@@@BBBCCCCCCCCCCCCBBBBBBAAA??????@@@??????>>>>>>>>>??????;;;===>>>?????????@@@AAABBBBBBBBBBBBBBBBBBCCCCCCHHHHHHGGGFFFEEEDDDDDDDDDDDDGGGKKKKKKKKKMMMTTTYYY]]]___aaabbbeeeppp}}}sssmmmfffdddggglllooopppooonnnnnnmmmlllnnnpppqqqrrruuu|||~~~ttteeeZZZXXXUUUUUUWWWXXXWWWVVVRRRPPPMMMJJJHHHHHHIIIIIIGGGGGGGGGHHHIIIIIIJJJJJJJJJJJJJJJIIIIIIHHHHHHHHHHHHGGGGGGFFFEEEDDDDDDCCCCCCCCCBBBBBBBBBBBBCCCCCCEEEEEEDDDCCCCCCDDDDDDDDDBBBBBBBBBBBBBBBBBBBBBBBBEEEDDDDDDCCCCCCBBBBBBAAACCCCCCCCCDDDDDDCCCCCCCCCAAA???>>>======>>>@@@AAA>>>>>>??????@@@?????????======<<<<<<<<<=========???>>>===<<<<<<<<<<<<<<<<<<<<<<<<=========>>>>>><<<<<<<<<;;;;;;;;;::::::::::::999999999999::::::::::::::::::::::::::::::888888999:::::::::999999888777666555555666777888777777666666666666777777...............//////000------........./////////...//////////////////......////////////000000000000000////////////000000000000////////////000000////////////////////////////////////////////////222222222222222222222222111222333333444444333333444555555555555555555444555555444444333333222222444444555666666666666666999999888888999999::::::=========>>>AAAHHHPPPWWWggguuuuuuiiidddYYYVVVVVVVVVVVVZZZfffrrr|||ssskkkkkklllooovvv}}}ooofff^^^XXXOOOLLLIIIGGGHHHJJJKKKKKKKKKLLLMMMNNNOOOOOOOOOOOOJJJLLLNNNPPPPPPNNNLLLKKKIIIIIIHHHFFFEEEDDDCCCBBB@@@@@@AAAAAACCCDDDFFFGGGEEEEEEEEEDDDCCCBBBAAA@@@CCCBBBAAA@@@@@@BBBCCCDDD@@@BBBCCCBBBAAAAAADDDGGGFFFFFFGGGGGGIIIKKKLLLMMMPPPOOONNNMMMLLLMMMMMMNNNMMMRRRXXXZZZZZZ___hhhpppvvvxxxzzz||||||tttlllfffaaabbb``````eeennnwww{{{}}}}}}zzz||||||yyy}}}pppbbbYYYOOOMMMKKKKKKMMMPPPRRRSSSTTTRRRPPPMMMKKKJJJIIIIIIHHHHHHIIIIIIJJJJJJJJJJJJIIIIIIIIIIIIIIIHHHHHHHHHGGGGGGFFFFFFEEEDDDCCCCCCDDDCCCCCCCCCCCCCCCCCCDDDDDDCCCCCCCCCCCCCCCDDDDDDAAABBBBBBBBBBBBBBBBBBAAADDDCCCCCCCCCBBBBBBAAAAAABBBBBBCCCCCCCCCCCCBBBBBBBBBAAA>>><<<;;;<<<===>>><<<<<<===>>>??????>>>>>>==================<<<<<<>>>======<<<<<<<<<<<<<<<<<<<<<<<<<<<============<<<;;;;;;;;;;;;:::::::::999999888888888888999999::::::::::::::::::::::::888888999:::::::::999999888777666555555666777888666666777777777777666666......------......///000------------..................////////////............////////////000000000//////......//////000000000////////////000000222222222222222222222222000000000000000000000000111111111222222222222222111111222333333333333333333333444555555444333333333333333333333333222222222222333444444444444333777888888888888999999999999:::;;;<<<===AAAFFFJJJPPP^^^rrr{{{zzzwwwuuuvvvzzz~~~uuutttkkkfffbbbaaa^^^\\\___eeekkkooorrrqqqnnntttxxxqqquuuzzzwwwpppjjjZZZUUUOOOJJJIIIJJJJJJJJJMMMOOOQQQSSSRRROOOLLLJJJGGGHHHIIIJJJJJJJJJIIIIIIHHHHHHGGGGGGFFFFFFEEEEEEDDDDDDDDDEEEFFFGGGIIIJJJKKKKKKLLLLLLLLLLLLKKKKKKJJJJJJJJJJJJIIIHHHGGGFFFEEEFFFHHHGGGGGGIIIOOOUUUQQQQQQSSSVVVZZZ___cccfffaaa```_________```bbbcccaaagggnnnppppppttt~~~|||zzzxxxuuusssrrrqqqqqqqqqnnnhhhbbb]]][[[ZZZZZZaaaccchhhqqq}}}www~~~pppddd\\\VVVQQQLLLJJJHHHGGGGGGJJJMMMOOOSSSRRRRRRQQQOOOMMMKKKIIIIIIIIIJJJJJJJJJJJJIIIIIIIIIJJJJJJKKKKKKJJJIIIIIIFFFFFFFFFEEEEEEDDDDDDCCCDDDDDDCCCCCCCCCCCCDDDDDDBBBBBBBBBAAABBBBBBCCCDDDBBBBBBCCCDDDDDDCCCBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBAAAAAABBBBBBBBBBBBAAAAAAAAA@@@>>>===<<<;;;<<<<<<<<<<<<===>>>????????????=========>>>======<<<;;;======<<<<<<;;;<<<<<<===;;;;;;<<<<<<<<<=========;;;;;;;;;;;;::::::::::::999888888777777888888999999999999999::::::::::::999999:::::::::999999888777666666555555666666777666666777777777777666666...------------...//////............////////////---...///000000///...---........./////////000000//////............//////111000000000000000000111222222222222222222222222222222222222222222222222000111111111222222222222111111222333333333333222222222333444444333222222222222222222333333333333222333333444444444444444555555666777777777777777666888999:::;;;===AAACCCDDDLLLYYYhhhyyyzzzyyy}}}wwwtttuuuzzz~~~|||zzzvvvtttuuukkkeee___]]]\\\aaaooo}}}}}}xxx~~~yyyuuuqqqddd___XXXSSSRRRSSSUUUVVV^^^bbbgggjjjggg^^^TTTNNNJJJJJJIIIHHHGGGGGGGGGGGGEEEEEEFFFFFFGGGGGGGGGHHHFFFFFFFFFGGGGGGIIIJJJJJJNNNOOORRRTTTWWWYYYZZZZZZUUUXXX[[[\\\ZZZTTTMMMHHHEEEHHHKKKLLLOOOVVV```iiihhhiiikkkooouuu{{{xxxvvvtttqqqpppoooppppppooouuu{{{|||yyy{{{rrrqqqpppooommmjjjgggddd```___^^^\\\[[[ZZZZZZZZZ[[[]]]`````````bbbgggkkkrrrssswwwuuufff[[[UUURRRNNNJJJHHHHHHGGGGGGGGGHHHKKKMMMNNNOOOQQQRRRRRRPPPMMMKKKIIIIIIJJJJJJIIIHHHGGGFFFGGGHHHIIIJJJJJJIIIHHHHHHEEEEEEEEEEEEEEEDDDDDDDDDCCCBBBBBBBBBBBBBBBBBBCCC@@@@@@@@@@@@@@@AAABBBCCCAAAAAABBBCCCCCCBBBAAAAAA@@@@@@@@@AAABBBBBBCCCCCC???@@@@@@AAAAAA@@@@@@???>>>>>>>>>======<<<<<<<<<===>>>???@@@@@@AAAAAAAAA======>>>>>>>>>===;;;:::<<<<<<<<<;;;;;;<<<<<<===;;;;;;;;;<<<<<<<<<======;;;;;;;;;:::::::::999999888888777777777777888888888888999999999:::::::::::::::::::::999999888777555666666666666666666555555666777888888777666555...------------...//////////////////000000000000---...///000000///...---............/////////000//////............//////222222111111111111222222000000000000000000000000111111111111111111111111000000111111222222222222111111222333333333333222111111333333333333111111111111111222222333333444444555666666777777666666333333444555666666666666777888999999888:::===@@@BBBCCCHHHSSSdddxxx{{{|||~~~zzzxxxzzz~~~|||pppaaa[[[[[[[[[___eeeuuusssppppppnnnpppjjjccc___```dddiiikkkvvv|||uuufff[[[NNNMMMJJJHHHFFFEEEEEEFFFCCCCCCDDDEEEGGGHHHIIIIIIGGGGGGGGGGGGHHHIIIJJJJJJJJJLLLPPPUUUYYY]]]___aaa___dddjjjmmmhhh^^^RRRJJJDDDHHHLLLOOOUUU___nnnxxx|||wwwssspppnnnnnnnnnuuuzzzxxxsssrrrxxx}}}{{{{{{{{{||||||zzzxxxzzztttnnniiihhhhhhfffdddccccccbbb___]]]ZZZXXXXXXXXXXXXWWWVVVVVVVVVVVVVVVXXX___hhhnnnqqqvvv~~~tttggg```XXXSSSQQQOOOJJJEEEAAABBBDDDDDDDDDEEEGGGHHHIIILLLPPPSSSTTTRRROOOMMMHHHIIIIIIIIIHHHFFFDDDCCCDDDEEEFFFGGGGGGGGGFFFEEEDDDDDDDDDDDDEEEEEEEEEEEEBBBAAAAAA@@@@@@AAAAAABBB@@@?????????@@@@@@AAABBB>>>>>>@@@@@@@@@@@@>>>>>>>>>???@@@AAABBBCCCCCCDDD?????????@@@@@@?????????;;;<<<======>>>=========>>>???@@@AAABBBCCCCCCCCC======>>>>>>>>>===;;;:::<<<<<<;;;;;;;;;<<<<<<===;;;;;;;;;<<<<<<<<<======;;;;;;;;;:::::::::999999888888777777777777888888888888888999999:::::::::;;;;;;;;;:::999888777666444555666777777666555444555666777888888777666555////////////////////////////////////////////////444333222000000000111222222...+++***---//////...//////000111111111111111333111......///000111222000000///......///000111111111111111111111111111000000000000000000000000000111111111111222222222222222222222222222222222222222333444444555555666444333333333333444555555999999777666666777888888::::::999999::::::;;;<<<;;;@@@FFFIIINNN[[[pppyyyjjjaaa\\\[[[]]]gggjjjtttssslllkkklllooorrruuuqqqpppsssrrrpppvvvtttddd[[[QQQNNNPPPPPPKKKEEECCCFFFGGGFFFHHHMMMPPPNNNMMMMMMLLLIIIFFFEEEFFFHHHIIIIIINNNVVVXXXVVVXXX^^^```eeejjjkkkeee\\\SSSMMMFFFFFFGGGJJJSSSbbbuuuuuummmkkkggg___YYYZZZaaagggiiigggiiiqqqvvvvvvqqqkkkddd```^^^]]]\\\ZZZWWWXXXXXXWWWUUUTTTVVVWWWZZZ\\\______]]]ZZZXXXXXX[[[\\\]]]^^^^^^^^^]]]]]]eeemmmyyy~~~hhhYYYVVVSSSNNNIIIGGGFFFGGGHHHCCCCCCCCCCCCCCCDDDEEEEEEHHHIIIIIIJJJKKKLLLMMMMMMGGGGGGFFFFFFFFFFFFFFFGGGEEEFFFGGGGGGFFFEEEDDDCCCDDDDDDDDDDDDCCCBBBAAA@@@CCCCCCCCCBBBBBBAAAAAAAAABBBAAA@@@???>>>>>>>>>>>>======>>>>>>????????????DDDBBB@@@@@@AAACCCCCCCCCAAAAAA@@@???>>>>>>??????===>>>>>>????????????>>>>>>????????????@@@@@@@@@@@@@@@>>>===<<<<<<<<<<<<<<<<<<;;;;;;;;;<<<<<<===;;;;;;;;;<<<<<<<<<======<<<;;;::::::999999999999999999999999999999999999888888777777888999::::::999999999999999999999999666666666666666666666666777777777777666666666666////////////////////////////////////////////////000///...---,,,------...111...,,,,,,...000///...//////000111111111111000111000///...///000000000............///000222333111111111111111111111111000000000000000000000000000111111111111222222222222222222222222222222222222222333333444555555555333222222222222333444444666666555555555666666777777666666666666777888888888;;;>>>>>>AAAKKKZZZeeexxx|||ooofffaaa]]]^^^eeemmmrrrvvv{{{kkkeeeggglllrrrxxx|||||||||qqqddd\\\ZZZWWWQQQLLLLLLNNNNNNMMMRRR[[[``````aaa```\\\UUUNNNJJJHHHIIIFFFEEEHHHNNNPPPOOORRRXXXYYY^^^cccddd___WWWNNNJJJGGGHHHIIILLLRRR]]]iiirrrxxxzzzyyywwwzzz~~~}}}xxxjjjaaaZZZYYYWWWRRRPPPRRRRRRZZZbbbhhhqqqzzz~~~{{{nnniiiaaa[[[XXXVVVTTTRRRQQQQQQPPPOOONNNQQQTTTXXX___dddiiimmmllljjjgggfff```aaacccdddeeefffggghhhmmmtttrrrfff[[[SSSQQQOOOKKKHHHFFFEEEFFFFFFCCCBBBBBBBBBBBBCCCDDDDDDGGGHHHHHHIIIIIIJJJJJJKKKEEEEEEDDDDDDDDDDDDEEEEEEEEEFFFFFFGGGFFFEEEDDDCCCDDDDDDDDDDDDDDDCCCBBBAAABBBBBBAAAAAA@@@@@@@@@@@@AAA@@@???>>>============>>>>>>======>>>??????@@@BBB@@@>>>>>>@@@AAABBBAAA@@@@@@???>>>>>>>>>>>>>>>>>>>>>????????????>>>>>>======>>>>>>>>>???????????????>>>===<<<<<<<<<===<<<<<<;;;;;;;;;<<<<<<===;;;;;;;;;;;;<<<<<<<<<===<<<;;;:::999999999999999888999999::::::999999888777777666666777777888999888888888888888888888888666666666666666666666666777777777777666666666555////////////////////////000000000000000000000000...---,,,,,,++++++,,,,,,000///......000000///......///000000111111000000///000000000000000000///---------...///111333444111111111111111111111111000000000000000000000000000111111111111222222222222222222222222222222222222222333333444444555555222111111111111222333333222222333444555555555555666555555555555666777777::::::::::::<<>>===<<<<<<<<<<<>>===<<<===>>>???@@@???===<<<===>>>@@@@@@?????????>>>>>>======>>>>>>>>>???????????????>>>>>><<<<<<<<<=========>>>>>>>>>>>>======<<<============<<<<<<;;;;;;;;;<<<<<<;;;;;;;;;;;;<<<<<<<<<<<<;;;::::::999999999999:::777888999::::::999888777666666666666666666777888777777777777777777777777666666666666666666666666777777777666666666555555////////////////////////000000000000000000000000///.....................//////000000111000///......//////000000000000000...000222333222111000000.........///000111111222111111111111111111111111000000000000000000000000000000111111111222222222222222222222222222222222111222222333444444555555222222222222222333333444000111333444555555555444888777777777777888999999:::999888999===AAADDDFFFDDDOOO^^^mmm{{{}}}|||}}}~~~vvvqqqmmmmmmoooqqqrrrrrrpppyyy|||wwwtttmmmnnnmmmqqqzzziii]]]VVVSSSQQQOOOMMMKKKJJJLLLRRRWWW\\\___bbbbbb]]]VVVPPPMMMKKKLLLLLLMMMNNNOOOPPPQQQVVVWWWXXXWWWWWWUUURRROOOTTTRRRQQQQQQSSSSSSTTTVVV^^^gggqqqvvvvvvrrrmmmiiiooojjjccc\\\WWWVVVUUUUUUUUUWWWYYYZZZ\\\___dddggghhhmmmtttyyy{{{zzzyyyyyyxxxtttjjj^^^TTTOOOLLLHHHEEEDDDEEEEEEEEEDDDDDDCCCBBBBBBBBBBBBBBBBBBCCCDDDDDDEEEDDDDDDDDDCCCCCCBBBBBBBBBBBBBBBAAABBBBBBCCCDDDEEEEEEEEEEEEEEEEEEDDDDDDDDDDDDEEEEEEEEEEEEDDDDDD@@@@@@@@@@@@@@@@@@??????@@@???>>>===============???>>>===<<<<<<===???@@@>>><<<<<<===???@@@??????@@@@@@??????>>>??????@@@@@@@@@@@@@@@??????>>>===<<<<<<=========>>>>>>>>>======<<<<<<<<<======>>>======<<<;;;;;;;;;;;;<<<;;;;;;;;;;;;;;;;;;;;;;;;::::::999999999999999:::777888999::::::999888777777777666666666777777888777777777777777777777777777777777777777777777777777777666666666555555555////////////////////////////////////////////////////////////000/////////...///000111000000//////......///000000000000000...111555555333111111111000000000000000/////////000000000000000000000000000000000000000000000000000000111111111222222222222222222222222222222222111111222222333444444555333333333333333444555555000222444555666666555555999888888888888999::::::888666555777:::======<<<<<>>>>>>>>?????????>>>===<<<<<<===>>>>>>======<<<>>>@@@AAA@@@???AAAAAAAAA@@@@@@AAABBBBBBAAAAAAAAA@@@@@@>>>===============>>>>>>>>>??????===<<<<<<<<<<<<<<<===>>>======<<<;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;::::::999999999888888999999:::777888999999999999888777999888888777777888888888888888888888888888888888888888888888888888888888666666666666555555555555////////////////////////////////////////////////------...////////////......///000000......///000---...//////000000//////...111555555222000111222000111111111000///...---000000000000000000000000000000000000000000000000000111111111111222222222222222222222222222222222111111222222333333444444444444333333444444555666333333444555666666666666777666666666666777888888:::999888888999999999888;;;<<<@@@GGGMMMXXXhhhwwwzzzwwwxxx{{{}}}tttoooooorrrvvvwwwyyy|||}}}~~~~~~}}}vvvnnnjjjnnnsssuuu|||~~~~~~{{{wwwqqqnnnmmmlllkkkjjjkkkmmmnnnnnnmmmeeedddgggjjjiiiffffffiiinnntttxxxwwwtttqqqmmmhhhlllpppuuutttmmmeeegggmmmllljjjhhhffffffjjjpppuuuwww{{{xxxhhh\\\VVVRRRNNNHHHDDDCCCCCCCCCCCCAAAAAABBBCCCCCCCCCCCCBBBBBBBBBBBBBBBBBBCCCCCCDDDBBBBBBBBBAAAAAAAAA@@@@@@CCCCCCCCCCCCCCCDDDEEEFFFDDDDDDCCCCCCCCCDDDEEEEEEEEEEEEEEEEEEDDDCCCBBBBBB@@@@@@@@@AAAAAAAAAAAAAAA@@@@@@????????????@@@@@@>>>>>>============<<<<<<=========???AAABBBAAA@@@BBBBBBAAAAAABBBBBBCCCCCCBBBBBBBBBAAA@@@>>>===<<<======>>>>>>>>>?????????======<<<<<<;;;<<<<<<<<<>>>===<<<;;;;;;;;;;;;;;;;;;;;;;;;;;;::::::::::::999888888888888999999:::888888888888888888888888:::999999888888888888888888888888888888888888888888888888888888888888888666666666555555555444444////////////////////////------------------------,,,---...///000//////......///000...,,,,,,...111---...//////000000//////,,,000444333000...///222//////000111111000///...000000000000000000000000000000000000000000000000000111111111111222222222222222222222222222222222111111111222333333444444333333222222333333444555555555444444444555555666666555555555555666777777:::::::::999888888999999::::::===BBBCCCGGGSSSaaapppzzz|||wwwrrrooollljjjhhhhhhjjjmmmpppqqqvvvzzz~~~xxxxxx{{{}}}~~~|||zzzzzzuuunnnmmmpppuuuuuuttttttvvv|||yyyjjj]]]SSSMMMKKKJJJHHHEEECCCBBBCCCCCCCCC@@@@@@@@@@@@AAAAAAAAABBB@@@@@@??????@@@@@@AAABBBBBBBBBBBBBBBBBBAAAAAAAAABBBBBBBBBBBBCCCDDDEEEFFFDDDCCCCCCBBBCCCDDDEEEFFFFFFFFFEEEEEECCCBBB@@@???????????????@@@@@@@@@AAA??????>>>>>>>>>>>>??????<<<===>>>???>>>===;;;:::<<<<<<===???BBBBBBAAA@@@AAAAAAAAAAAAAAABBBCCCCCCCCCCCCBBBAAA@@@>>>===<<<<<<<<<<<<=========>>>>>>>>>===<<<<<<;;;;;;;;;;;;>>>>>>===;;;;;;::::::;;;;;;;;;;;;:::::::::999999888888888888888999::::::999888777666666777888999999999888777777777777777777777777777777777777777666666666666666666666666666666555555555444444444////////////////////////---------------------------...000111111111000000...//////---***+++...222---......///////////////+++///222111---+++...111---...///111111111000///000000000000000000000000000000000000000000000000000111111111111222222222222222222222222222222222000111111222333333444444222222111111222222333444666555444333222333444555666666666666666777888888333555666666555666888:::888999>>>BBBAAA???FFFQQQVVVcccvvv|||xxxpppgggccc^^^[[[[[[]]]___```^^^aaahhhpppuuuwwwzzz}}}xxxtttxxxzzzmmmiiiaaaWWWOOOIIIHHHHHH===???AAACCCBBB@@@===;;;@@@???????????????@@@AAA>>>>>>>>>===>>>??????@@@BBBBBBBBBBBBBBBBBBBBBBBBAAAAAAAAABBBCCCDDDEEEFFFDDDCCCBBBBBBCCCDDDEEEFFFFFFFFFEEEDDDBBBAAA???>>>======>>>>>>?????????@@@>>>>>>============>>>???;;;===???@@@???===:::999;;;;;;<<>><<<;;;;;;;;;;;;<<<<<<<<<======???>>>===<<<;;;:::::::::???>>>===<<<;;;:::::::::;;;;;;;;;::::::999999999888888777777888999:::::::::999666555555666999:::888888777666666666666666666666666666666666666666555555555555555555555555666666555555555444444444000000//////.........---........................////////////////////////...------------...//////333222111/////////000111000///...------...///000------......///000000000000000111111111111000000000000///////////////000000000000000000000000000111111000000000000111111111222222333444444444444444444444333333222222222333333333444444444555555666555555666888888888777555666888999::::::999999::::::<<<===???AAABBBCCCFFFOOO^^^mmm{{{~~~zzzyyyjjjeee^^^[[[ZZZZZZYYYWWW___]]]]]]```dddeeedddbbbaaa^^^aaajjjwww{{{pppeee\\\TTTQQQMMMJJJGGGEEEDDDDDD>>>>>>>>>>>>>>>>>>>>>>>>???????????????@@@@@@AAA>>>>>>>>>>>>????????????AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBCCCDDDEEEFFFEEEEEEEEEEEEDDDDDDDDDDDDEEEEEEEEEDDDCCCAAA@@@???????????????>>>>>>>>>===@@@?????????>>>>>>======<<<<<<===>>>>>>>>>>>>>>>:::<<<>>>AAABBBBBBAAA@@@CCCBBB@@@??????@@@BBBCCCCCCBBBAAA???>>>============;;;999:::;;;<<<;;;;;;>>>>>>???>>>>>>===<<<;;;===<<<::::::;;;;;;:::999<<<<<<;;;::::::999888888777888888999;;;<<<<<<===999999888888777888888888777777777777888888888888555555666666777777888888:::777444555777888666444777777666555444333333222000/////////.........---................................................------........./////////111111///.........//////000///...------...///000------......///000000000000000111111111111000000000000000//////000000000000000000000000000000000111111000000000000111111222222333333444333333333444444333333333222222222333333333444444444444555555333222222333333222111555666777999999999999999999:::;;;===???@@@BBBBBBBBBHHHRRR\\\hhhwwwsssnnngggbbbaaa```___^^^``````aaaccceeeddd___[[[\\\XXXXXX^^^gggrrr|||xxxwwwwwwxxxzzz}}}~~~|||yyywwwzzzxxxjjjaaaYYYQQQJJJLLLJJJGGGCCCAAA@@@??????>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>???@@@@@@======>>>>>>>>>?????????@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@AAABBBCCCDDDDDDDDDDDDDDDDDDDDDDDDDDDFFFFFFFFFEEEEEEDDDCCCBBB@@@@@@@@@@@@?????????>>>?????????>>>>>>>>>======<<<<<<===>>>>>>>>>>>>>>>;;;===???AAABBBBBBAAA@@@CCCAAA@@@??????@@@AAACCCBBBAAA@@@???===============;;;::::::;;;<<<<<<;;;===>>>>>>>>>>>>======<<<===;;;::::::;;;<<<:::999<<<<<<;;;::::::999888888::::::::::::::::::::::::999999888888888888999999777777777777888888888888666666666666777777888888:::777555555777888777555555555555555555444444444/////////...............................................................---...///000000000//////000//////............/////////............//////------......///000000000000000111111111111000000000000000000000000111111000000000000000000000000111111000000000000111111333333333333333333222111333333333333222222222222333333333333444444444444666555333444555666555333555666777888999999999888999:::;;;<<<>>>@@@AAAAAA???BBBEEEJJJRRR___nnnyyy|||~~~xxxsssqqqpppqqqpppuuuwwwyyy{{{yyyrrriiiccc^^^XXXTTTUUUYYY```jjjttt{{{uuurrrvvv{{{wwwtttooojjjfffeeeeeeeeeiiikkkmmmmmmlllmmmpppsss{{{vvvkkk]]]RRRMMMJJJFFFBBBDDDCCCAAA>>>===<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<======<<<<<<======>>>???======>>>>>>>>>>>>??????????????????????????????>>>>>>>>>>>>???@@@AAAAAACCCCCCCCCCCCCCCCCCDDDDDDEEEEEEEEEEEEEEEDDDCCCCCCAAAAAA@@@@@@@@@???????????????>>>>>>>>>>>>======<<<<<<===>>>>>>>>>>>>>>>>>>???@@@AAABBBAAAAAA@@@BBBAAA@@@??????@@@AAABBBAAA@@@???===<<<<<<<<<<<<===;;;::::::;;;<<<<<<;;;<<<<<<===>>>>>>>>>=========;;;::::::;;;<<<;;;999<<<;;;;;;::::::999999888999999999::::::::::::::::::999999888999999::::::777777777888888888999999666666666777777777777888:::888666666777888777666333333444444555555555555........................................................................---...000222222111///.../////////////////////////////////....../////////------......///000000000000000111111111111000000000000000111111111111111000000000000000000000000222111111000000111111222333333333333333222111000333222222222222222222222222222333333333444444444555444444555777999888777555555666777777888888888999999:::<<<===>>>???@@@???@@@AAABBBEEENNNZZZcccttt}}}xxxmmmeee]]][[[[[[\\\bbbhhhgggiiikkkmmmmmmkkkiiigggeeefffeeeccccccjjjwww}}}rrrkkkffffffeeeeeefffhhhjjjkkknnnrrruuuuuutttwww}}}}}}xxxnnnhhhddd[[[PPPIIIGGGFFFEEEDDDAAA@@@???>>>============;;;;;;;;;;;;;;;;;;;;;;;;<<<<<<;;;;;;<<<<<<===>>>============>>>>>>>>>???????????????????????????>>>>>>>>>>>>>>>???@@@@@@BBBBBBBBBBBBCCCCCCCCCCCCDDDDDDCCCCCCBBBAAA@@@???@@@@@@@@@?????????>>>>>>>>>>>>>>>>>>>>>>>>======<<<<<<===>>>>>>>>>>>>>>>???@@@AAAAAAAAAAAA@@@@@@AAA@@@????????????@@@AAA??????>>><<<<<<;;;;;;;;;===<<<::::::<<<===<<<;;;;;;;;;<<<===>>>>>>>>>===<<<;;;::::::;;;<<<;;;:::;;;;;;;;;::::::999999999888888888999::::::;;;;;;999999999999999999:::;;;777777888888888999999999777777777777777777777777:::999777777777777777777444444444444444444444444---------...............................................................---...000222222111///...000000000000000000000000...//////////////////...------......///000000000000000111111111111000000...///000111111111111000000000000000000000000000222222111111111111222222333333333333222111111000222222222222222222222222222222222333333333444444444333222333444555444333555555555666666777888888888888999;;;<<<===>>>>>>===???AAAAAAAAAEEELLLQQQWWW___pppxxxnnniiifffcccdddgggdddeeeggghhhgggdddaaa___[[[]]]]]]\\\\\\```jjjqqq{{{~~~yyyyyy~~~{{{uuuooollliiikkkooosssxxx|||~~~{{{pppfff^^^XXXTTTTTTNNNFFFAAA@@@AAAAAA@@@??????>>>>>>>>>>>>>>>>>>::::::::::::::::::::::::;;;;;;;;;:::;;;<<<<<<===<<<============>>>>>>>>>@@@@@@@@@@@@@@@@@@@@@@@@@@@????????????@@@@@@AAA@@@@@@AAAAAABBBBBBBBBBBBEEEEEEDDDCCCAAA@@@>>>===>>>>>>>>>>>>==============================>>>>>><<<<<<===>>>>>>>>>>>>>>>???@@@@@@@@@@@@@@@@@@@@@????????????????????????>>>>>>===<<<;;;;;;;;;;;;>>><<<:::;;;<<<===<<<<<<:::;;;<<<===============<<<:::::::::<<<<<<;;;:::;;;;;;::::::::::::999999::::::999999999888888888999888888888999999:::;;;888888888888999999999999888888888888777777777777888888888777666666777777666555555444333333222222---------------.................................---------------------------...///000000000/////////000000111111111111000......////////////......------......///000000000000000111111111111000000,,,...///111111111000000000000000000000000000000222222111111111111222222222222222222222222111000111111111222222222222222222222222222333333333333888666444444444444222000555444444444555666777888777888999:::;;;<<<======:::===@@@AAA@@@@@@BBBEEEKKKMMMWWWgggxxx~~~yyy|||wwwtttpppoooppppppsssvvvwwwtttnnngggbbb[[[ZZZXXXVVVUUUVVVYYY\\\___kkk{{{}}}uuuqqqrrrsssnnniiifffiiinnnvvv~~~{{{wwwvvvuuuuuuwwwzzz}}}~~~}}}vvviiiddd\\\UUUPPPLLLIIIGGGIIIEEE@@@===<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<::::::::::::::::::::::::;;;;;;::::::;;;;;;<<<===<<<<<<============>>>>>>@@@@@@@@@@@@@@@@@@@@@@@@AAA@@@@@@@@@@@@@@@AAAAAA??????@@@@@@AAAAAABBBBBBFFFFFFFFFEEECCCBBB@@@???>>>>>>=========<<<<<<<<<<<<<<<============>>>>>><<<<<<===>>>>>>>>>>>>>>>>>>>>>>>>??????@@@@@@@@@>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>===<<<<<<<<<<<<<<<>>><<<;;;;;;<<<======<<<;;;;;;<<<=========<<<<<<;;;:::999:::<<<<<<<<<;;;::::::::::::::::::::::::>>>===;;;:::888666444444777777777777888999::::::888888888999999999999:::999888888888888777777777777888888777555444666777666666555444333222111111,,,,,,,,,------.................................------------------------------........./////////......000111111111000000---...///000000///...---------......///000000000000000111111111111000000+++,,,...000111000///...000000000000000000000000333222222111111222222333000111111222222222222111000111111111222222222222111222222222222333333333555444333333555666555333444444444444444666777888777777888999:::;;;<<<<<<777;;;@@@AAA???===>>>@@@GGGFFFJJJTTT___kkk}}}zzz|||~~~{{{rrrjjjeee___[[[YYYYYYXXXWWWUUU\\\bbbgggmmmrrrrrrmmmccc```aaadddddd___\\\\\\]]]___cccgggjjjlllmmmmmmtttzzz|||wwwvvvvvvuuuuuuvvvvvvvvvvvvvvvuuuvvvnnnlllsss}}}xxxpppiiieee______^^^^^^___cccgggjjjrrryyyttteee\\\SSSOOOJJJFFFEEEDDDCCCBBBBBB@@@>>>======<<<<<<<<<::::::;;;;;;;;;:::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;<<<======<<<<<<<<<=========>>>>>>????????????????????????AAA@@@@@@??????@@@@@@@@@>>>>>>??????@@@AAAAAABBBCCCCCCDDDDDDDDDCCCBBBBBB>>>>>>>>>>>>============<<<<<<<<<=========>>>>>><<<<<<===>>>>>>>>>>>>>>><<<<<<======>>>???@@@AAA===>>>>>>>>>>>>>>>>>>===???>>>======<<<<<<======>>>===;;;;;;=========<<<<<<<<<<<<===<<<<<<;;;;;;;;;:::999:::<<<===<<<;;;::::::::::::::::::::::::;;;;;;:::999888777666666666666666666777888999:::888888888999999999::::::999999999888888888777777555777777666333333555777444444444333333222222222,,,,,,,,,------.................................------------------------...------------...//////,,,---///000000000//////---...///000000///...---------......///000000000000000111111111111000000***+++---///000000///...000000000000000000000000333222222111111222222333///000111222222222222222000000111111222222222222111111222222222333333333))))))***---111444555555444444333333444555777888777777888999::::::;;;;;;888<<<@@@AAA???>>>???@@@>>>>>>DDDLLLPPPUUUaaannnxxx{{{wwwwww}}}xxxoooiiihhhhhheeebbbaaaaaa___]]]```dddccc^^^YYYYYY[[[___]]]XXXVVVXXXRRRRRRSSSTTTVVVWWWYYYZZZ^^^eeelllnnnlllhhhhhhiii```___^^^]]]\\\[[[ZZZZZZ]]]XXXXXX]]]bbbccceeegggbbbcccdddbbb```ccciiioooooolllhhhccc___ZZZUUUQQQRRRRRRRRRQQQRRRUUUZZZ^^^\\\cccmmmtttxxxzzz}}}}}}vvviii]]]RRRLLLJJJGGGDDDBBBBBBBBBBBBAAA>>>============<<<<<<;;;::::::;;;;;;;;;::::::999;;;;;;;;;;;;;;;;;;;;;;;;<<<;;;;;;;;;;;;<<<======<<<<<<<<<<<<=========>>>>>>>>>>>>>>>>>>>>>>>>>>>@@@@@@???????????????@@@===>>>>>>???@@@@@@AAAAAA>>>???@@@AAABBBCCCCCCCCC????????????>>>>>>>>>>>>;;;<<<<<<<<<======>>>>>><<<======>>>>>>>>>>>>>>>;;;;;;;;;<<<===???@@@AAA======>>>>>>>>>>>>======???>>>>>>============>>>>>>===;;;;;;===>>>===<<<<<<=========<<<;;;::::::;;;:::999:::<<<===<<<;;;::::::::::::::::::::::::555555666888999:::;;;<<<555555555555666777888999888888999999999:::::::::999999999999888888777777444666777555333222444666222222333333333333444444..................------------,,,,,,,,,,,,------+++,,,------......---------------............///------------------------111///...------...///111000000000000////////////////////////000000000000222111111111000000//////////////////000000000000000111111111111222222222111111111111111111111111111111222222222333333333222222222333333444444444222222333333333333444444333333444444555666666777666666666777888888999999;;;;;;<<<<<<===>>>>>>>>>>>>???AAABBBEEEIIINNNRRR^^^hhhwww~~~~~~}}}}}}~~~~~~yyyvvvttttttnnnggggggjjjjjjfffaaabbb```_________]]]YYYUUURRRPPPRRRUUURRRMMMOOOVVVUUUWWWZZZ\\\]]]\\\ZZZYYYVVVSSSQQQOOOPPPPPPPPPPPPPPPQQQQQQRRRTTTUUUWWWXXXYYY[[[\\\\\\[[[YYYYYYYYYZZZYYYWWWTTTQQQOOONNNNNNIIIIIIIIIKKKNNNOOOOOONNNTTTWWW[[[___eeelllsssxxx~~~sssnnndddZZZQQQKKKIIIHHH@@@@@@>>>======<<<<<<<<<>>>>>>======<<<<<<<<<;;;;;;;;;;;;::::::999999999:::::::::999999888888888999999888888999999:::;;;:::;;;===>>>???>>>===;;;<<<<<<<<<======>>>???@@@@@@@@@????????????@@@@@@======>>>???@@@AAAAAAAAA????????????????????????BBB@@@>>><<<;;;<<<===>>>>>>>>>>>>>>>==================>>>>>>>>>>>>==================>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>======<<<<<<<<<<<<<<<<<<===>>>>>><<<<<<<<<<<<<<<;;;;;;;;;999999:::;;;;;;<<<<<<===::::::::::::::::::::::::777777777888999999::::::888777777777777777888888777777777777777777777777666666666666777777777777666555444333333333333333555555555555555555555555........................------,,,,,,,,,,,,------,,,,,,---...............---------............///000000000000000000000000000///...------...///000///////////////000000000.../////////000000000000111111111000000000//////////////////000000000000000000111111111222222222111111111111111111111111111111222222222222222222111111111222222333333333222222222333333333444444333333333444555555666666555555666777888888999999:::::::::;;;<<<<<<======<<<===>>>???@@@CCCHHHKKKOOOVVVbbbpppzzzwwwzzz|||zzzwwwxxxuuurrrpppmmmggg```[[[XXXWWWYYY[[[WWWRRRSSSYYY\\\[[[[[[ZZZXXXWWWVVVUUUUUUTTTRRRQQQQQQQQQPPPOOOPPPPPPPPPQQQRRRTTTUUUVVV[[[___bbbcccaaa]]]ZZZYYYVVVUUUSSSPPPNNNMMMLLLKKKNNNMMMLLLMMMOOOPPPQQQQQQUUUWWW[[[```hhhrrr}}}zzzmmmeee\\\XXXRRRLLLGGGDDDCCCCCC???>>>===<<<<<<;;;;;;;;;<<<<<<<<<;;;;;;;;;::::::;;;;;;:::::::::999999999:::999999999999999999888999999888888999999:::;;;999:::<<<=========;;;:::<<<<<<<<<======>>>???@@@@@@??????>>>>>>??????@@@>>>>>>>>>???@@@@@@@@@AAA@@@@@@@@@@@@@@@@@@@@@@@@AAA@@@===<<<;;;;;;<<<===============>>>>>>>>>>>>======>>>>>>>>>>>>======<<<=========>>>>>>>>>>>>========================>>>>>>>>>>>>>>>===<<<;;;<<<<<<<<<<<<<<<======>>>>>>>>>======<<<;;;::::::;;;;;;;;;;;;;;;;;;;;;;;;::::::::::::::::::::::::777777888888888999999999888888888888888999::::::777777777777777777777777666666666666777777777777444444444333333444444555444444444444444444444444........................------,,,,,,,,,,,,------------...////////////...---------............///111111111111111111111111000///...------...///000.........//////000000111....../////////000000000111111000000000000//////////////////000000000000000000000111111111222222111111111111111111111111222222111111111111111111000111111111111111222222222222222222333333333333222222222333444444555555444444555666888999::::::888888999::::::;;;;;;<<<:::;;;<<<<<<<<<===@@@CCCDDDGGGMMMVVVbbbqqqzzzpppjjjjjjjjjkkklllhhhccccccgggmmmjjjfffaaa\\\YYYXXXWWWWWWWWWXXXWWWVVVUUUSSSRRRUUUVVVWWWXXXYYYYYYYYYYYY^^^bbbhhhjjjgggaaa\\\YYYXXXWWWVVVTTTSSSRRRRRRQQQSSSRRRPPPPPPQQQSSSVVVXXXZZZ]]]ccclllxxxrrrggg]]]TTTOOOKKKJJJGGGDDDBBBAAA@@@@@@======<<<;;;::::::::::::::::::::::::999999999999:::::::::999999999999999888888888999999999999999999888888888888999::::::888999:::<<<<<<;;;::::::<<<<<<<<<======>>>???@@@@@@??????>>>>>>??????@@@??????????????????@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@???===;;;;;;;;;<<<<<<<<<<<<======>>>>>>??????<<<======>>>>>>======<<<<<<<<<=========>>>>>>>>><<<<<<<<<<<<<<<<<<<<<<<>>===<<<;;;:::<<<<<<;;;;;;<<<<<<===>>>@@@@@@???===<<<;;;:::999======<<<;;;;;;:::999999::::::::::::::::::::::::999999888888888777777777666666666666777999:::;;;777777777777777777777777777777777777666666666666444444333333333444555555333333333333333333333333---------.....................------------......---......///000/////////---------............///........................000///............///000------......///000111111........./////////000000000000000000000000//////////////////000000000000000000000000111111111111111111111111111111111111222222111111111111000000111111111111222222222222111222222222222333333333111111222333333444444555333444555666777999999:::888888999999:::;;;;;;;;;;;;;;;<<<;;;::::::<<<>>>BBBCCCDDDGGGNNNXXXdddkkk~~~~~~}}}vvvoooiiidddbbb___aaaddddddbbb```^^^]]]bbbeeehhhkkkjjjhhhdddaaa___ccchhhjjjhhhddd```^^^^^^]]]]]]\\\\\\\\\\\\]]]ZZZYYYXXXWWWXXX[[[```dddhhhnnnyyy}}}}}}|||ttthhh]]]UUUOOOJJJGGGFFFEEEDDDBBB@@@???>>>===;;;;;;:::999999999999999999999999999999999999999999999999999999888888888777777888888999999::::::888888888888888999999:::999999:::;;;<<<;;;;;;:::<<<<<<<<<<<<===>>>???@@@??????>>>>>>>>>>>>??????@@@@@@@@@???????????????@@@@@@@@@@@@@@@@@@@@@@@@>>>>>>===<<<;;;;;;<<<<<<<<<<<<======>>>>>>??????<<<==================<<<<<<<<<<<<=========>>>>>>========================??????>>>>>>===<<<::::::<<<;;;;;;;;;;;;<<<======??????>>>===<<<<<<;;;;;;<<<<<<;;;;;;;;;:::::::::999999999999999999999999:::999999888777666666666222222333333555666888888777777777777777777777777777777777777666666666666666555444333333333333333333333333333333333333333---------.........////////////............//////---......///000/////////---------............///------------------------//////............//////,,,------...///000000111............//////////////////////////////000000////////////000000000000//////000000000111111111111111111111111111111111222222111111111111111111333333333333333333333222111111111222222222333333111111222333333444444555333444555666777888999999999999999:::;;;;;;<<<<<<<<<======<<<;;;:::;;;<<>>===<<<;;;:::999:::999999888888888888999999999999999999999999999888888888888888888888888777777777888888999999999888888777777888888999:::::::::;;;;;;<<<<<<<<<<<<<<<<<<<<<<<<===>>>???@@@???>>>>>>>>>>>>>>>>>>???@@@@@@@@@???????????????@@@@@@@@@@@@@@@@@@@@@@@@>>>======<<<<<<<<<<<<<<<<<<=========>>>>>>>>>???<<<<<<============<<<<<<<<<<<<<<<<<<============>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>======<<<::::::;;;;;;;;;;;;;;;<<<======<<<<<<<<<<<<============:::::::::;;;;;;;;;<<<<<<999999999999999999999999:::999999888777666555555222222222333444666777888777777777777777777777777888777777777666666666555888777555444333222111111333333333333333333333333,,,,,,------...///////////////............//////------...////////////...---------............///////////////////////////////////////////////////---------......//////000------........./////////......////////////000000////////////000000000000/////////000000000111111111111111111111111111111111111222222222333333333444444444333333333333333111111111111222222222222222222222333444444555555444555555666666777777888888999999::::::;;;<<<<<<<<<===>>>===<<<;;;<<<===<<<===???@@@AAACCCGGGIIIIIISSS```kkkuuu~~~xxxlllmmmnnnnnnnnnooorrruuuwwwxxxyyyzzz|||~~~{{{zzz||||||nnnbbbZZZUUUQQQNNNOOOMMMKKKGGGCCC???;;;:::;;;;;;;;;;;;;;;;;;;;;;;;999999888888777888888999888888888999999999999999777777777777777888888888777777777888888888888888888777777777777888999999;;;;;;;;;;;;;;;<<<<<<<<<<<<<<<<<<======>>>???@@@???>>>>>>======>>>>>>?????????????????????@@@@@@????????????????????????>>>>>>>>>>>>>>>>>>======>>>>>>>>>>>>>>>=========;;;<<<<<<======<<<<<<;;;;;;;;;<<<<<<<<<=========????????????????????????<<<============<<<;;;;;;;;;;;;::::::;;;;;;<<<===::::::;;;;;;<<<=========999999::::::;;;<<<======999999999999999999999999999999888777666666555555555555555555666888999:::777777777777777777777777888888777777666666555555888777666444333222111111333333333333333333333333,,,,,,------...//////000------,,,,,,,,,,,,------,,,,,,---...............---------............///////////////////////////......////////////..............................---------.........//////........./////////000000////////////000000000000////////////000000000111111111111111111111111111111111222333444555555666333333333333222222111111111111111111222222222222333333333444555555666666666666666666666666666666777777888888999:::::::::999;;;<<<<<<;;;:::;;;<<<999;;;===>>>???@@@CCCEEEBBBHHHNNNSSSXXXbbbppp{{{{{{|||||||||{{{||||||ttthhh```VVVNNNKKKJJJHHHFFFGGGGGGEEEBBB???<<<;;;;;;;;;;;;;;;:::;;;;;;<<<===999888888888888888999999666666777777777888888888666666666777777777888888888888888888777777777777777777777777777888999999:::::::::::::::;;;;;;<<<<<<<<<<<<======>>>???@@@>>>>>>============>>>>>>>>>>>>>>>???@@@@@@@@@AAA>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>???????????????>>>??????>>>>>>======<<<<<<;;;<<<<<<======<<<<<<;;;;;;;;;;;;<<<<<<<<<======>>>>>>>>>>>>>>>>>>>>>>>>;;;;;;<<<<<<======<<<<<<;;;;;;::::::;;;;;;<<<===:::::::::;;;;;;;;;;;;;;;:::;;;;;;;;;;;;;;;;;;;;;888888888888888888888888888888777777666666666555777666666666777888888999777777777777777777777777888888888777666555555555555555444333333333444444444444444444444444444444,,,,,,------...///000000,,,++++++******++++++,,,+++,,,------......---------------.........//////////////////////////////......////////////.....................------------------.........//////---.........//////000000////////////000000000000////////////000000000000111111111111111111111111111111222333555666777777222222222222111111000000000111111111111222222222333333444555555666666777666666666666555555555555666666666777888888999999666888:::::::::999:::;;;<<<===>>>>>>===>>>AAACCCBBBEEEHHHGGGFFFMMMYYYcccfffsssyyynnneee[[[UUURRRLLLEEEBBBBBBBBBAAA???@@@@@@???<<<::::::<<<===;;;:::888777666666777888999888888888888888999999444555555555666666777777555666666666777777888888999999888888777777666666777777777777777888888999999999888888999999:::;;;<<<<<<<<<======>>>???@@@>>>>>>============>>>>>>======>>>???@@@AAAAAABBB========================>>>??????@@@@@@@@@??????@@@@@@???>>>===<<<;;;;;;;;;<<<<<<<<<<<<<<<<<<;;;;;;;;;;;;<<<<<<<<<==============================999:::;;;<<<============;;;::::::::::::;;;<<<<<<;;;;;;;;;::::::999999999===<<<<<<;;;;;;::::::999888888888888888888888888777777777777666666666666666666555555555666666777777777777777777777777777999888888777666555555444222222222333444555666777555555555555555555555555------,,,,,,,,,---......///...---,,,------//////...+++''''''***------,,,///////////////.........////////////////////////------............------,,,,,,------...///000000---------............/////////............//////000000000000111111111111000111111111111222222222000///.........///111222222000///222666::::::888444444333333222111000000000111111111111222222222333333444444555666777777666666666555444444333333555555555555666666666777888888999::::::::::::999:::;;;<<<<<<;;;;;;<<<>>>???>>>>>>@@@BBBFFFIIIKKKSSSZZZdddmmmyyy~~~{{{pppjjjfffiiiqqqxxxyyywww~~~{{{|||xxxooocccZZZVVVRRRMMMHHHEEEDDDAAA???>>>>>>>>>??????>>>>>>===<<<;;;;;;;;;;;;:::888777777777888888777777777777777777777777777777777777777777777777777777777777777777777777777777777777666666666666999888777666666777888999777888888888888999999999:::::::::;;;<<<===>>>>>><<<<<<<<<<<<<<<===>>>>>>;;;<<<===???@@@@@@@@@@@@@@@???>>>???@@@AAA@@@???>>>>>>????????????>>>>>>>>>>>>======<<<<<<<<<;;;;;;;;;:::::::::;;;<<<<<<;;;;;;;;;<<<<<<;;;::::::;;;<<<===??????===<<<;;;===<<<;;;::::::;;;<<<===;;;;;;;;;;;;;;;;;;;;;;;;<<<<<<<<<<<<<<<<<<<<<<<<======<<<;;;:::888777666888999999888888777666555888777666555555666777888888777777888999999777444222333444666666666555555666666555555555555666666999999888666555444222222555555444444444333333333,,,,,,,,,---...///000111///...---,,,,,,------...///...,,,,,,...///000///...............---------..............................////////////......******++++++,,,------...---------............/////////............//////....../////////000000000//////000000000111111111000000/////////000111222555333111222555777777666333333333222222111111111000111111111111222222222222222222333444555555555555555555555444444444444666666666666777777777777777888888999999999999999:::;;;<<<<<<;;;;;;<<<===>>>>>>======>>>@@@CCCDDDFFFJJJPPPUUU^^^kkk{{{yyyqqqlllhhhfff```\\\YYYZZZ___eeeggggggmmmkkkmmmuuu}}}yyymmmeee]]]VVVNNNIIIHHHFFFCCC@@@CCCAAA???===<<<<<<<<<=========<<<<<<;;;::::::999:::999888777777777888888777777777777777777777777666666666666666666666666666666666666666666666666777666666666666666666666888888777666666777888888777777888888888999999999999999999::::::;;;<<<======<<<<<<<<<<<<===>>>>>>======>>>>>>>>>=========>>>===<<<===>>>???>>>=========>>>>>>>>>>>>======>>>=========<<<<<<<<<;;;;;;;;;:::::::::::::::;;;:::;;;;;;;;;;;;;;;::::::;;;<<<===>>>>>>===<<<;;;===<<<;;;::::::;;;<<<===;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;<<<<<<<<<;;;:::999888777999999999999888777666555666666777777777777666666777666666888999999777555555555666777888777666666666666555555555555666666777777666666555555444444555555444444444333333333,,,,,,,,,---...000222333......---,,,++++++,,,,,,+++,,,......---------...------------------------........................//////000000000000//////***++++++,,,,,,------------------............/////////............//////------........./////////........./////////000000111000000000000111222222888555222111222333444444222222222222222222111111000111111111111222222222111111222222333333444444444444444444555555555555888777777777777777777777666666777888888888888888999:::<<<;;;::::::;;;=========;;;::::::;;;<<<===AAABBBCCCDDDHHHRRR___hhhzzz~~~tttiii___YYYXXXYYYYYYWWWVVVWWWZZZ^^^cccfffiiigggiiiqqqzzzzzzmmmaaaXXXQQQNNNJJJFFFAAA@@@AAAAAA???<<>><<<::::::::::::;;;;;;;;;::::::999999888888999999888777777777888888777777777777777777777777666666666666666666666666555555555555555555555555666666666666666666666666888777777666666777777888777777777888888888999999999888888888999:::;;;<<<===============>>>??????>>>>>>>>>===<<<;;;;;;:::>>><<<:::;;;<<<<<<<<<;;;<<<<<<============<<<<<<=========<<<<<<<<<<<<<<<;;;;;;:::999888888888888:::::::::;;;;;;;;;;;;;;;;;;<<<===>>>>>>===<<<;;;<<<<<<;;;;;;;;;;;;<<<<<<;;;;;;;;;;;;;;;;;;;;;;;;999999999999999999999999:::;;;;;;;;;::::::999888999999999999888777666555444666777999999777666444666555555777999999888777888888999999999888777777666666555555555555666666555555555555555555666666555555444444444333333333,,,,,,,,,------///000000...------,,,++++++++++++'''+++//////---+++,,,------------------.......................................////////////......---------.........//////---------............/////////............//////------........./////////....../////////000000000111111111111111222222222777555222000000111333333111111111111222222222222000000111111111222222222111222222222333333444444222222333444444555666666777777777777666666666666555666666777777777777777888:::;;;;;;::::::;;;<<<<<<<<<;;;:::999999::::::AAAAAAAAA@@@BBBGGGOOOTTT]]]lllyyytttvvvyyyvvvrrrpppooommmhhhaaa[[[[[[```eeeccceeegggggghhhlllsssxxx~~~{{{|||zzzqqqkkkjjjhhhbbbYYYOOOIIIHHHIIIEEECCC@@@@@@@@@@@@===;;;<<<<<<:::999999999999::::::::::::999999888888888888888888777777777777888777777777777777777777777666666666666666666666666555555555555555555555555555555555666666666666666777777777666666777777777777777777777888888888888999999999999999:::;;;;;;>>>============>>>??????>>>>>>======<<<<<<<<<<<>>>>>===<<<<<<;;;;;;;;;;;;;;;;;;;;;;;;::::::::::::::::::::::::::::::::::::::::::::::::999::::::;;;;;;:::::::::999999999999888777666666555666777888888777666555555444444666888999999888999999999999888777777666666666555555555555666666555555555555555555555555555555444444444333333333------,,,,,,+++,,,,,,,,,---------,,,,,,+++++++++***...222333111...///000------......////////////........................,,,------......------,,,---------...............---------............/////////............//////....../////////000000000/////////000000000111111000000111111222222222222333222111000000111333444111111111111111111111222000000111111111222222222333333333333444444444444111222222333444555666666555555555555555555555555555555666777777777777666888999::::::999999:::<<<;;;;;;;;;;;;;;;;;;;;;<<<<<<===>>>??????AAACCCEEELLLVVVccclllrrr|||ooogggaaabbbdddbbb^^^]]]]]]___aaacccgggnnnyyy~~~}}}sssiiiaaa[[[VVVSSSLLLNNNOOOKKKEEEAAABBBDDD>>>>>>===<<<<<<<<<:::999;;;::::::999999999:::::::::::::::999999999999999777777777777888777777777666666666666666666666666555555555555555555555555555555555555555555555555444444555555666666666777666666666777777666666666666666777777777888888888::::::::::::::::::;;;<<<===============>>>>>>???============>>>???@@@AAAAAA>>>;;;:::;;;;;;;;;:::;;;;;;<<<<<<<<<<<<;;;;;;;;;;;;;;;<<<<<<<<<<<<<<<;;;:::999888777666666666:::999999999999:::;;;<<<<<<<<<============<<<<<<:::;;;;;;;;;;;;;;;;;;:::::::::::::::::::::::::::::::::::::::::::::::::::999999::::::;;;;;;::::::999::::::999999888777666888777666555555666777888555444444555777999999888999888888777666666666666666666555555555555666666666666666555444444333333555555444444444333333333...---,,,+++************,,,,,,------------,,,,,,***,,,///000///...------------......///000000000------------------------,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------............/////////............//////....../////////000000000//////000000000111111111///000111111222222111111///000111111000000222444111111111111111111000000000111111111111222222222333333333444444444444444111222222333444555555555333333444444444555555555555555666777777777777777777999::::::999888:::;;;::::::;;;;;;;;;<<<<<<<<<888:::<<<>>>??????>>>===CCCGGGMMMSSSWWW]]]jjjwwwyyyooojjjeeebbbdddddd```\\\[[[]]]```gggooozzz|||sssmmmeee^^^VVVNNNJJJHHHFFFEEE???BBBDDDCCC@@@===<<<===888888999999::::::::::::999999999:::::::::::::::999999999999999999999999555666777888888888777777666666666666666666666666555555555555555555555555555555555555555555555555444444444555555666666777555666666777777666666555666666666777777777888888;;;;;;::::::::::::;;;;;;<<<<<<<<<<<<<<<===>>>>>><<<;;;;;;<<<>>>@@@CCCDDDCCC@@@<<<;;;;;;;;;;;;;;;;;;;;;<<<<<<<<<<<<;;;;;;;;;;;;;;;;;;;;;<<<<<<<<<::::::999888777777777777999999888888888:::;;;<<<========================::::::;;;;;;;;;;;;::::::::::::::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;999999:::;;;;;;;;;::::::::::::::::::999888777666999777666444444666777999666555444444666888888777777777666555555555666666666666555555555555666666666666555555444333222222555555444444444333333333------,,,+++++++++,,,,,,++++++---...//////......))))))***+++------+++))),,,,,,---......///000000------------------------,,,------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,---------............/////////............//////------........./////////........./////////000000...///000111111111000000,,,///222222000///000111222222111111000000//////000111111111111222222222333333333222222222222222222222222333333444444444222333333444555666777777666666777888888888888777777888999999888888999:::999999999999999999888888999:::;;;<<<>>>>>>===<<<>>>>>>AAAEEEGGGHHHPPPZZZdddiiirrr|||~~~{{{wwwwwwuuupppzzzyyy}}}xxxqqqppprrruuu{{{yyynnneee\\\UUUPPPLLLHHHDDDAAA@@@@@@???>>><<<>>>???>>><<<;;;::::::888888999999888999;;;<<<777777888999999999999999777777777777777777777777444555777888888888777777666666666666666666666666555555555555555555555555666666666666666666666666333333444555555666777777555555666777777666555555666666666666777777777888::::::999999999999::::::;;;;;;;;;;;;;;;<<<<<<===;;;::::::;;;===@@@BBBDDDDDD@@@<<<::::::;;;;;;:::<<<<<<============<<<<<<:::::::::;;;;;;<<<<<<<<<:::999999888888888999999999888777777888:::<<<=========<<<<<<<<<<<<======999:::;;;;;;;;;;;;:::999999999999999999999999999999999999999999999999999:::::::::;;;;;;:::999999::::::::::::999888777777777777666666666666777777888666444444555777777666666666555555555666777888666666555555555555666666444444444444444444444444555555444444444333333333,,,,,,,,,,,,------...///***+++---///000000//////...,,,***,,,///000...+++++++++,,,,,,---...//////---------------------------..................---........................---------.........////////////............//////,,,,,,,,,---------......---------.........//////---...///111111000000///,,,000333333000......///333222222111000//////...000111111111111222222222222222111111111111111111222222333333333333444444222333444555666888999999666666777888888888888888666888999999888888999:::888888888888777666555444999888777888999:::::::::<<<999;;;AAABBB@@@CCCJJJOOORRRXXX```kkkwww|||zzzzzz{{{~~~|||vvvyyyyyyrrrjjjeee]]]UUUOOOJJJEEEBBB>>>======>>>??????===;;;999888888777888888888888999999888777555555777999555666777888999999999888555555555666666666666666444555666888888888777666666666666666666666666666555555555555555555555555777777777777777777777777333333444444555666777777444555666777777666555444666666666666777777777777999999888888888888888999;;;::::::::::::;;;<<<<<<;;;:::::::::;;;>>>AAACCCDDD@@@<<<999999::::::999<<<<<<============<<<<<<:::::::::;;;;;;<<<<<<<<<999999999999999999::::::999888777777888:::<<<=========<<<<<<<<<<<<======999999;;;;;;;;;;;;999999999999999999999999999999888888888888888888888888:::;;;;;;;;;::::::999888::::::::::::999888777777555666777888888777666555999666444444555666666555666666555555555777888999666666555555555555666666222222333444444555666666555555444444444333333333///...---,,,,,,---///000+++,,,---.........---,,,............//////000000,,,,,,---------------,,,))))))***++++++,,,------........................+++,,,------,,,,,,...///,,,---------...///////////////............//////++++++,,,...///111222222000000000000////////////000000000000111111111111000000000000111111111111000000000000000000000000111111111111111111111111111111111111111111111111...000333555555333000...111111222222222333333333333444555666777888999:::888888999::::::::::::999888888888888888888888888999999888888999999:::;;;777888999:::<<<===>>>>>>AAABBBDDDHHHOOOZZZeeemmm{{{||||||~~~sssiiiaaa[[[XXXMMMKKKIIIFFFCCCAAA???>>>>>>>>>===<<<;;;;;;::::::999999999888888888777777777777777777777777777777777777666666555555555444777777888888888777777666555555555555555555555555444444555555555555444444555444333333333333444555555555555444444333333333444444444444444555666777666777888777555555777888777777777777777888888999;;;;;;:::999:::;;;<<<===999999999999999999999999::::::;;;;;;<<<=========<<<<<<;;;;;;;;;::::::::::::;;;;;;<<<<<<;;;;;;:::;;;;;;:::999999888888777999999999888888888777777888888888777777777777777<<<<<<<<<<<<<<<<<<<<<<<<999888888999;;;<<<<<<;;;:::::::::999999999888888:::::::::::::::::::::::::::;;;;;;<<<=========<<<999999999888888888888777999777666666777777666444777777777777777777777777888666444444555666666666555555444333222111111000444444444444444444444444444444444444444555666777///...------,,,---......,,,---.../////////......------........./////////------.........------,,,***+++++++++,,,---------........................+++,,,...---,,,,,,---///---------...............//////............//////......//////////////////////////////000000000000/////////000000000111111000000000000111111111111000000000000000000000000222111111111111111111111111111111111111111111111000111333555555333111000111111222222222333333333444444555666777888888999777777888999999999999999888888888888888888888888888777777777777888999999888888999:::;;;<<<======???@@@@@@BBBEEEKKKSSSYYYaaahhhpppwww{{{yyyxxx~~~|||xxxmmmiiibbbZZZRRRMMMIIIGGGCCCBBB@@@>>>===<<<;;;;;;<<<;;;;;;:::999999888888999999888888888777777777666666666666666666666666777666666666555555555555777777777888888777777666555555555555555555555555555555666666666666555555555444333333333333444555444444444444444444333333444444444444444444555555444555555444333333444666777777666666777777888999:::::::::::::::;;;<<<<<<999999999999999999999999::::::;;;;;;<<<=========<<<<<<<<<;;;;;;;;;::::::888999999::::::999999888777888888999999::::::;;;:::::::::999999999888888888888888888999999999999;;;;;;;;;;;;;;;;;;;;;;;;999888888999;;;<<<;;;:::999999999999999999999999::::::::::::::::::::::::777888888999::::::999999999999999888888888777777888777666666777777666555777777777777777777777777888666444444555666666666999888888777777666666666444444444444444444444444444444444444444555666666000///...---,,,,,,,,,---------...///////////////---------------.........///////////////...---,,,,,,---------------------........................+++---...---,,,,,,---///...............---------//////............////////////////////////............//////000000111111....../////////000000000000000000000111111111111000000000000000000000000222222222111111000000000111111111111111111111111222222333444444333222222111111222222222333333333555555555666666666777777666666777888888888888777777777777777777777777777666666666666666777777888999999999:::::::::;;;;;;;;;;;;<<<<<<<<>>@@@>>>@@@CCCEEEHHHNNNUUU[[[bbbeeelllpppooommmrrrzzzyyywww}}}xxxnnnggg^^^ZZZUUUQQQNNNKKKHHHFFFGGGFFFDDDBBBAAA@@@@@@@@@888888888777777888888999777777777777666666555555888888777777777666666666666666666666666666666666666666666666666555555555555555666666777777666666555555555555555555555555555555666666666666555555444444444444444444444444333333333444444555555555555444333333222222222222444555666555333333555666666666666666666777888888888999:::;;;<<<;;;::::::::::::::::::::::::::::::999::::::;;;;;;<<<===============<<<<<<<<<;;;;;;::::::;;;;;;;;;;;;::::::::::::999999888777777777999999999999999999999999777777888888999:::;;;;;;::::::::::::::::::::::::;;;999888999::::::999888666777888999:::;;;<<<<<<::::::::::::::::::::::::999999:::::::::::::::999888888888888777777777777666555555666777888888777666666666666666666666666777555444555666777666555444444555555555555555555444444444444444444444444444444444333333444555555///......------,,,+++***+++++++++,,,,,,,,,------------------------------//////000000///...------///.............................................,,,---......,,,,,,,,,.../////////...---------,,,......------------......,,,------...///000111111---......///000111111222............///////////////000000000111111111111000000000000000000000000111111111000000000//////000000000000000000000000222111000//////000111222111111222222222333333333444444444444444555555555444444555666666666666555666666666666666666666666777666666666666777888888888888888888888777777777666888:::;;;;;;;;;<<<===<<<>>>@@@AAABBBCCCEEEGGGKKKMMMRRRXXX[[[^^^gggqqq~~~{{{www{{{yyypppggg___XXXRRRNNNIIIGGGDDDBBBCCCCCCCCCBBB>>>>>>===<<<<<<;;;;;;;;;:::999888888777777888888777777777777666666666666777777777666666666555555555555555555555555555555555555555666666666666666333444555666666666666666555555555555555555555555333444444555555444444333444444444444444444444444333333333444444555555555555444333333222222222222444555666555333333555666666666666555666777777888777888:::;;;;;;;;;:::999::::::::::::::::::::::::999999::::::;;;<<<<<<<<<===<<<<<<<<<;;;;;;;;;;;;999::::::;;;;;;::::::999::::::999888888777777666777777777777888888888888555666666777888999:::::::::::::::::::::::::::::::::999888888::::::999777666666777888:::;;;<<<<<<::::::::::::::::::::::::::::::;;;;;;;;;;;;::::::888888888777777777666666666555555666777888888777666666666666666666666666666555555555777777666444666666666666777777777777444444444444444444444444555444444333333333444444------...------,,,+++***+++++++++***+++,,,,,,---.........------------------....../////////......---.............................................---.........,,,+++,,,---...............---------......------------......000000000///......------......//////000000111111....../////////000000000000000000000111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000////////////000000111111222222222333333333333333333444444444555555444444555666666666666555666666666666666666666666666666666666666777888888777777777777777777666666888999;;;:::999777777888999:::<<<>>>@@@@@@??????AAAAAACCCGGGJJJMMMUUU^^^kkknnnuuu}}}}}}rrrggg]]]XXXQQQLLLHHHFFFDDDCCCAAA???======>>>>>>>>>===999999999999888888777777999999888777666666666666777777777777666666666666666666666666555555555555555555555555555555555555555555555666666666666666222333444555666666666666555555555555555555555555333333333444444333333333333444444555555444444333333333444444444444444444555444444333333333333444333444444333222222333555666666555555666666777888888999999:::::::::::::::999999999999999999999999999999999:::;;;;;;<<<<<<<<<<<<;;;;;;;;;:::::::::777777888888888888777777666666777777888999999999666666666777777777777777666666666777888888888999999999999999999999999999999888777888999:::999888666777777999:::;;;<<<<<<::::::::::::::::::::::::999999999999999999888777888888777777777666666666777666555666777888777666777777777777777777777777666555555666777777666444444444444444444444444444444444444444444444444444555444444333333333333333+++,,,---------,,,++++++,,,,,,+++++++++,,,---.../////////.........------+++,,,---......///......,,,,,,,,,------......///........................---...///...,,,+++,,,------------..................------,,,,,,------...111000000///......------////////////000000000000/////////000000000111111000000000000111111111111000000000000000000000000......//////000111111111000000000000000000000000000000000000000000000000111111222222222333333333111111222333444555555666444444555666666666666666555555555555555555555555555555444444555555666777666666666666666666666666777999999999777555555666777777999;;;===>>>===<<<===<<<===@@@AAAAAAGGGNNNVVVXXX]]]fffqqq}}}}}}yyyqqqgggbbb^^^VVVMMMHHHEEEBBB@@@??????>>>======<<<;;;<<<<<<<<<:::888::::::::::::999999888777888777666666555666666666666666666666666666666666666666666555555555444444555555555555555555555555555555555555666666666777222222333444555555555555555555555555555555555555333444444444444444444333333333444555555444333333444444444444444444333333444444444444444444555555444555555444333333444666666555555555555666777777999999999888999999:::;;;888888888888888888888888888999999::::::;;;<<<<<<;;;::::::::::::999999999777777888888888888777777666666777777888999999999666666777777888888888888888888888888888888888888999999999999999999999999888777666777999::::::999777777888999::::::;;;;;;::::::::::::::::::::::::888888888888888777666666888777777777666666666666888777666666777777666555777777777777777777777777555555555666777777555333333333222222111111000000444444444444444444444444555444333333222222333333***+++,,,---------,,,+++------,,,+++,,,---...///000000/////////.........******,,,---.../////////++++++,,,,,,---...//////........................---...///...,,,+++,,,---,,,------....../////////...------,,,,,,------...------......//////000000000000000000////////////000000000000111111111111000000000000111111111111000000000000000000000000------...///000111222222000000000000000000000000111111222222222222111111111111222222222333333333000000111222444555666666444555666666777777666666555555555555555555555555444333333333333444555555555555555555666666777777555777888888777777888999888888777888:::<<<<<<;;;:::999;;;??????>>>@@@EEELLLLLLLLLPPPWWW```iiioooxxxzzzxxxnnnccc]]]ZZZSSSMMMLLLNNNJJJCCCBBBAAA??????>>>===:::888;;;;;;;;;<<<===<<<:::888::::::;;;;;;::::::999888777666666666777777888999555555555555555555555555666666555555555444444444555555555555555555555555444555555555666666777777111222333444555555555555555555555555555555555555444555555555555555555444333333444555555444333333555555555444444333333333444444444444555555666777666777888777555555777888555555555555555666777777:::999888777888999;;;<<<777777777777777777777777888999999::::::;;;<<<<<<:::::::::999999999888888999999::::::::::::999999999999888888777666666666777777888888999999999:::::::::999999999999999999888888888888888888888888777666666777999;;;:::999888888888999999::::::;;;::::::::::::::::::::::::999999999999999888777777777777777777666666666666999777666666777777666444777777777777777777777777555555555666888777555333777777666555444444333333444444444444444444444444555444333333222222222222/////////......---------,,,,,,,,,,,,,,,,,,,,,,,,111///---...000000...+++------------------------................................................------,,,,,,,,,+++++++++***+++---//////...---,,,000000///...---,,,,,,+++,,,,,,------...///000000000//////.........//////000111111111111222222222////////////////////////111111111111111111111111000000000000000000000000......///000111222222333/////////000111111222222222222333333333333444444333333333444444444555555666666666666666666666666444444555555555555444444666555444333333333333333222333555555444555666888777777777777888888888888777777777777888999:::;;;;;;;;;;;;;;;;;;;;;;;;;;;AAABBBCCCDDDGGGLLLSSSXXX\\\```gggpppwww}}}~~~oookkkddd]]]WWWRRRPPPOOOKKKHHHDDDCCCCCCBBB???;;;:::::::::999999888888888999999999999999999999999777777777777777777777777666555555555555444444444555444333222222333444555444444444444444444444444333333444444555666777777888777555333333333555666111222222333333444444555555555555444444333333333333333333333333333333333333444555555333333444555444444444444444444444444333333333333333333333333444444444444444444444444555555555555666666666666888888777777888888999::::::888777777888999999888888777777777777999:::;;;999999999999999999999999<<<;;;;;;::::::999999888999888888777777777777777888999999888666555666777777888888888888777666666444666999<<<>>>===<<<;;;<<<:::888777666777888999:::999888888888999:::;;;888888888888888888888888888888999999999999888888666666666666666666666666555666666666777777888888777777777777777777777777555555444444444444555555555444444444555777888:::666666555555555444444444555555555555555555555555---------,,,,,,,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,000...---...000000...,,,------------------,,,,,,................................................++++++,,,,,,------......+++,,,---//////...,,,+++/////////...------,,,,,,,,,,,,------...//////000//////............////////////000000000111111111////////////////////////111111111111111111111111000000000000000000000000//////000000111111222222111111111000000000000000111111111222222222333333333333333444444444444555555555555555555555555555555666666777777666666555666555444333333333333444222333555555444555666888666666666777777777888888666666666666777888999:::;;;;;;;;;;;;;;;;;;;;;;;;>>>@@@CCCDDDFFFGGGJJJMMMKKKMMMQQQWWW]]]ccchhhkkkuuuyyyxxxsssqqqllleee___TTTQQQMMMIIIFFFDDDDDDEEEBBB@@@======>>>>>>;;;999999999888888888777777777777777777777777777777777777777777777777777777777555444444444333333333333444444444333333444444444444444444444444444444444333333444444555666666777666444333111111222333444333333333333333333333333444444444444444444333333333333333333333333333333222444555444333222333444444444444444444444444444333333333333333333333333444444444444444444444444555555555555666666666666777777666666777777888999:::888777777888999999888888777777777777999:::;;;999999999999999999999999:::::::::::::::999999999999888888777777777777777777888999888666666666777888888888999888777777666777888:::;;;;;;999888666;;;999888777666777999999999999888888888999:::;;;888888888888888888888888888888999999999999888888666666666666666666666666444444444444555555555666666666666666666666666666555555444444444444555555555444444444444555777888666555555555444444444444444444444444444444444444++++++++++++************,,,,,,,,,,,,,,,,,,,,,,,,...------...000000///---.........------,,,,,,,,,................................................***+++,,,---...///000000,,,---.........---,,,+++........................,,,,,,------...///////////////............//////.../////////000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111222222111111000//////...000000000111111111111222333333333333444444444444444444444444444444444444555555666666666666555555555555444333333333444444222444555555444444666777555555555666666666666777555555555555666777888888:::::::::::::::::::::::::::===AAACCCBBBAAA@@@???AAAAAABBBDDDHHHMMMRRRUUUYYY___hhhrrr~~~~~~fff___VVVRRRQQQOOOJJJEEEBBBAAA???===<<<<<<===>>>:::999888888::::::999888777777777777666666666666666666666666666666666666777777777777777777777777444444333333333222222222333444444555555444444333444444444444444444444444333333333444555555666666555444333222111222333444555555444333333222111111333333444444444444444444444444444444444444444444222333444333222111222444444444444444444444444444333333333333333333333333444444444444444444444444444555555555555666666666666555555555555666777777:::888666777888999888777777777777777777999::::::999999999999999999999999888999999999999:::::::::999888888777777777777777777888999888777666777888888999999999999888777777888888999999888777666666999888777777777888999:::999888888888888999::::::888888888888888888888888888888999999999999888888666666666666666666666666444444444444555555555555666666666666666666666666555555444444444444555555555444444333333444444555555555555555444444444444333333333333333333333333+++++++++***************,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---.../////////............------,,,,,,+++................................................,,,,,,------...///000000------.........---,,,+++---------.........//////---------........./////////............//////000/////////000000000111111000000000000000000000000////////////////////////////////////////////////111111111000000000000000111111111111000000//////000000000111111111222222222222333333333444444444444444444444444444444444444444555555555555444444555444444333333333444444333444555555444444555777444444444555555555666666666555555555666666777888999999999999999999999999888;;;>>>???>>>;;;:::999???>>>???@@@AAADDDFFFHHHFFFKKKSSSYYY___iiiwwwxxxlllhhhkkklllfff```SSSMMMFFFCCCDDDCCCAAA>>>AAA@@@>>><<<;;;;;;;;;<<<888777777777888888888888666666666666666666666666888888888888888888888888666666666666666666666666444444444333333333333222222333444555555444333222333333333333333333333333333333333444444555555555666555555444444444555666444444444333333222222222333333333444444555555555444444444444444444444444111222333333111111222333333333333333333333333333222222333333333333444444444444444444444444444444444444444555555555666666666666555555666666777888999888666666888888888777666666666777888888999:::888888888888888888888888777777777888999::::::;;;999888888777777777777777777888999888777666777888999999999999999888888777666666777777888999999:::888777777777888999:::;;;888888888888888999999:::888888888888888888888888888888999999999999888888666666666666666666666666666666666777777777777777666666666666666666666666555555444444444444555555444444444333333222222222444444444444444444444444222222222222222222222222+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++,,,---............///.........------,,,,,,,,,........................................................................------------------,,,,,,,,,,,,------.../////////---------..............................///000000000000000111111111222222000000000000000000000000........................////////////////////////111111111000000000000000//////000000111111111111111111111111222222222333222222222333333333444444444444444444444444444444444555555666666555555444444444333333333444444555333444666555444444555666444444444444555555555555777777666666666777888888999999999999999999999999888:::;;;:::999999999;;;:::;;;<<<>>>>>>>>>======>>>BBBFFFGGGIIINNNWWW___kkkrrr}}}zzzrrrcccYYYOOOMMMQQQTTTRRRNNNFFFBBB>>><<<======<<<:::===<<<;;;999888888888888888888888777666666666666666777777777777777777777777777777777777777777777555555555555555555555555555555555555444444444444222333444555555444333222333333333333333333333333333333333444444444444444555555555444555555555555222222222333333444444444333333333444444555555555444444444444444444444444111222333333111111222333333333333333333333333333222222222333333444444444444444444444444444444444444444444444555555555555777666666666666777888888999777666666777888888777555666666777888888999999888888888888888888888888555666666777888999::::::999888888777777777777777666777888888777666777999888999999999999888777777666777777888999:::;;;;;;777777777888888999::::::777777888888999999999999888888888888888888888888888888999999999999888888777777777777777777777777777777777777777666666666555555555555555555555555555555444444444444555555444444444333333222111111333333444444444444444444222222222222222222222222,,,,,,,,,---------------,,,,,,,,,,,,,,,,,,,,,,,,+++---...///---------...------------------------.........................................................---------,,,,,,,,,,,,,,,---------......---------.........//////..............................---......///000111111111111111222222222222000000000000000000000000////////////////////////000000000000000000000000000000000000000111111111...//////000111111222222111111111222222222333333222222222222333333333333444444444444444444444444666666777777777777666666444444333333333444555555444555666555444444555666444444444555555555555666888777777666666777777888888888888888888888888888888999999888777888;;;===888999;;;======<<<:::999;;;===???@@@@@@CCCHHHMMMVVV[[[cccjjjnnnqqqtttvvv~~~|||wwwwwwzzz}}}{{{sssggg]]]WWWKKKEEE@@@???CCCFFFFFFDDD>>><<<::::::::::::999888888888888888888999999:::666777888666444222333444666666666666777777777777555555555555555555555555555555555555555555555555666666555555555444444444333444444555555444444333333333333333333333333333333333333333333333444444222222333333333333333333111111222333333444555555333333444444444444444444333333333333333333333333222333444333222111222444333333333333333333333333111222222333333444444555444444444444444444444444333444444444444555555555777777666666777777888999999777555666777888777666444555666777888888888888888888888888888888888888555555666777888888999999999888888777777777777777666777888888777777888999777888888888888777666666888888999999:::999999888888888888888999999999999666777888888999999888888888888888888888888888888888888999999999999888888777777777777777777777777555555555555555444444444555555555555555555555555555555444444444444555555333444444444444333222111333333333333444444444444222222222222222222222222,,,,,,,,,,,,---------...,,,,,,,,,,,,,,,,,,,,,,,,+++...//////,,,+++,,,---+++,,,,,,------.........................................................,,,,,,,,,,,,------------+++++++++,,,---...///000---------.......................................---------......///000111000000000000111111111111////////////////////////////////////////////////000000000000000000000000//////000000111111222222000000000000000111111111000000000111111111111222111222222222222333333333555555555555555555555555444555555555555555555444333333333333333444555666444555666555444333444666444555555555555666666666777666666555555666666666888888888888888888888888777888888888777777999;;;999999:::;;;;;;<<<<<<<<<999:::;;;===???AAACCCDDDGGGKKKOOOSSSTTTUUUWWWXXX\\\aaahhhpppyyy{{{qqqrrrsssrrrmmmfff^^^YYYXXX\\\```___YYYQQQKKKGGG>>>===;;;;;;<<<=========;;;;;;;;;;;;;;;:::888777666777777888888999::::::555777888777444222333555444444555555555666666666444444444444444444444444444444444444444444444444555555555444444444333333444444444333333444444444222222222222222222222222333333333333333333333333111222222333444444444333333333333333333333333333444444444444444444333333222222222222222222222222222444555444333222333444222222222222222222222222111111222333333444555555444444444444444444444444333333444444444555555555666666555555555666777777888777555555777888777666444555666777888888888777888888888888888888888888555666666777777888888888999888888777777777777777555777888888777777888999666777777777777666555555444666888999:::999888777888999999999999888888777555666777888999888888777888888888888888888888888888888999999999999888888777777777777777777777777666555555555444444444444555555555555555555555555555555444444444444555555333333444555555444333222222222333333333444444444333333333333333333333333+++++++++,,,,,,---------,,,,,,,,,,,,,,,,,,,,,,,,,,,...000///,,,***+++---***++++++,,,---...//////................................................)))***++++++,,,---......******+++,,,---///000111.............................................------------......000111111////////////000000000000////////////////////////000000000000000000000000000000000000000000000000...//////000111222222333222222111111000/////////////////////000000000000111111222222222333333333666666666666666666666666000111111222222111111000333333333333333444555666444555666666444333444555555555555666666666666777666555555444444444555555777777777777777777777777666888999999888777777888777666666555666999;;;<<<888888999;;;>>>@@@???>>>===@@@CCCFFFFFFGGGIIIJJJJJJMMMRRRWWW\\\cccjjjoooxxx~~~wwwrrrllliiihhheee___ZZZWWWYYY\\\\\\YYYSSSLLLHHHFFFJJJOOOPPPLLLGGGCCCBBB:::;;;<<<;;;999888888888888999:::::::::888666444666666666666666555555555555888999888666555666999333333333444444555555555666666666666666666666666444444444444444444444444444444444333333333222222555555333222222333555555222222222222222222222222333333333333333333333333333444555555666666666555555444444333333222222111555555555444444333333333111111111111111111111111333444555555333333444555222222222222222222222222111111222333333444555555444444444444444444444444333333333444444444555555555444444444444555666666888777555555777777777666333444666888888888777777777777777777777777777777666666666666777777777777999888888777777777777777555777888888777777888:::666666666666666555555444...000444888;;;;;;::::::999999999999999888777666555666777999999888888777888888888888888888888888888888999999999999888888777777777777777777777777888888777777666666666555555555555555555555555555555555555444444555555555222333444555555555444333222222222333333444444444333333333333333333333333++++++******++++++,,,---***,,,------,,,++++++,,,///......---,,,,,,++++++++++++,,,,,,---...//////........................///////////////.........+++,,,---.........---------...///000000...,,,***......------------......000000000000000000000000---------............///111111111111111000//////333222000000111111///...111111111111000000000000222111111111000000//////.../////////000000111111000000111111111111000000222222222111111111111111222222333333333444444444333555666666555444444555:::888666333222222333444666555444333333333333333444444444444444444444444666666666777888888999999888888777777777777888888999999888777666666777777999999888888777777666666999777555666888:::;;;;;;888888999::::::::::::999;;;<<>>===<<<:::999999999888888777777666666666666555555555555777666555444444444444444555555555555555555555555333333333444444444555555555555555555555555555555777777777666555555555444555444444333333444444555555555555444333222111000222222222333333444444444333333333444444444555555444444444444444444444444222222222333333333444444444444333222222333333333111222222333333222222111222222222222222222222222666555333222111000000000333333333333333333333333111222333333111111222333444333222111111333444666555444444444444555666666444555555666666666666666555555666666777777888888888888999999999888888777777777777777777777777777666666666666666666666666777777888888888888777777666666666666666666666666666666777888:::;;;<<<<<<999999888888888888888999999999888777666666777777999999999888888888777777666777888999999888777666777777777777777777777777666666666666777777777777444444555555666777777777666666666666666666666666666666555555555444444444222222222222333444555666222222222222222222222222+++++++++++++++,,,------***,,,------,,,++++++,,,////////////////////////+++,,,,,,---......//////........................////////////............******++++++,,,,,,,,,+++....../////////...,,,+++......------------......////////////////////////---------............///000111111111111000///...000///...///111111000/////////000000000000000000111111111000000000//////.........//////000000000000000111111111111000000000111111111111111111111222222222222333333333333333444666666444444444555777666444333333444555666555555444333333333444444444444444444444444444444555666666777777888999999888888777777777777888888999888888777666666777777888888888777777777777777777666555555777999999888777888999999::::::999999==================>>>>>>@@@AAABBBCCCEEEFFFGGGHHHGGGJJJMMMQQQUUUZZZ```dddkkknnnsssyyy~~~yyyuuuuuuuuurrrnnniiihhhfffccc___\\\YYYWWWVVVUUUSSSQQQNNNKKKIIIHHHHHHGGGFFFEEEDDDBBBAAAAAA@@@@@@AAAAAA@@@>>><<<;;;============<<<;;;:::999999888888888777777777666666666666666555555555555777777666555555555555555555555555555555555555555333333333444444444444555555555555555555555555555666555555555555555555444444444333333333333444444333333444444444333222222222222222222333333333333333333333444444444444555444444444444444444444444333333333444444444555555444333333222222333333333222222222333333222222222222222222222222222222222555444333333222333333333333333333333333333333333111222333333111111222333333333444555555555555555444444444444444555555666444444555666666666666666555555555666777777888888999999999::::::999999888777777777777777777777777777777777777777777777777777777888888888888777777666666666666666666666666777777888888999:::;;;;;;999999888888888888888999999888888777777777777888999999999888888888777777777777888888888888777777777777777777777777777777666666666666666666666777666666666666555555555555444444444444444444444444555555444444333333333333000000000000111222333444222222222222222222222222,,,,,,,,,,,,,,,------...***,,,------,,,++++++,,,******+++,,,------......---------......//////000------------------------........................******+++++++++,,,,,,,,,...............---------......------------..............................---------............///000000000000000//////......---,,,...000111111000---.........///000000000111111000000000000//////...............////////////000000111111000000////////////000000111111111000111111111222222222222222444555555444333333444555444333333333444666777444444333333333444555555555555555555555555555555555555666666777888888888888777777666666777777888888888777666666666777777777777777777888888888888666555555666777888666555777888999999::::::999999>>><<<:::888888999;;;<<<<<<<<<======>>>>>>??????>>>@@@BBBCCCEEEGGGJJJMMMMMMOOOSSSWWW[[[^^^```bbbeeejjjppptttwww|||~~~zzzqqqpppooonnnnnnnnnooopppqqqrrrrrrpppmmmjjjiiijjjfffeeedddfffhhhiiiiiihhh```[[[UUURRRRRRQQQOOOLLLKKKJJJJJJIIIGGGFFFDDDCCCDDDCCCBBB@@@>>><<<;;;:::===<<<<<<;;;;;;::::::999999999:::;;;:::999888777999999999999888777666666777777777666666666666666666666666555555555555444777777666555555555666666444444444444444444444444333333333333444444444444444444444444444444444444333444444444444444444555444444333333333333444444111222333333444444444333222222222222222111111111333333333333444444444444444444444444444444444444444444444444555555555555333333222222222222333333222222222222222222222222222222222222222222222222333333333333444444555666222222222222222222222222111222333333111111222333222444666888888777555444444444333333444444555666444444555666666666666555444555555666666777888888999999::::::::::::999999777777777777777777777777888888888888888888888888666777777888888777777666666666666666666666666666777777888888999999999:::999888888888888888999999888888777777777888999999999999999888888888888888888888777777777777888888777777777777777777777777666666666666666666666666777777666666555444444333333333333333333333333333444333333333333222222222000000000000111222333333222222222222222222222222------,,,,,,,,,---......***,,,------,,,++++++,,,)))))))))***++++++,,,,,,............//////000000------------------------------...............///---,,,,,,,,,------......///......---------.........------,,,,,,------...---------------------------------............////////////000000///.........---,,,---///000///...,,,,,,------...///000000000000000000000000//////------..................//////000000000000//////------...///000111111222000000000000111111111111222333555555333222333444444444333333333444555666333333333333333444555666555555555555555555555555444444555666666777777888777777666666666666777777888777777666666666777777666666777777888888999999666666666777888888555333777777888999999999999999;;;:::999888888888999:::999::::::;;;<<<>>>>>>???>>>@@@AAAAAAAAAAAACCCEEEBBBCCCEEEHHHJJJLLLNNNOOOLLLOOORRRTTTWWW[[[```dddiiipppxxx|||~~~xxxnnnfff```[[[WWWUUUTTTSSSRRRQQQQQQRRRRRRSSSTTTTTTRRROOOLLLLLLLLLKKKJJJJJJLLLOOOPPPPPPOOONNNJJJFFFCCCCCCBBB@@@???AAAAAABBBBBBBBBAAA@@@@@@>>>>>>======<<<;;;::::::888888888888888888888888777777888999999999888777666666777777666555444444555555555555555555555555666666555555555444444444666555555444444444555555444444444444444444444444222222333333333444444444444444444444444444444444222222222333333444444444444333333333333333333444222333333444444333333333333222222111111000000000222222333333333444444444333333333333333333333333333333333444444444444555222222222222222222333444222222222222222222222222222222222222222222222222333333333333333444555555111111111111111111111111111222333333111111222333333444555666666666555444333333333333333444444555333444555555666666555555444444555555666777777888777777888999999999999888666666666666666666666666888888888888888888888888666666777777777777666666666666666666666666666666777777888888888888888888888888888777888888999:::777777777777888999999:::888888888888888888888888999888777666666777888999777777777777777777777777666666666666666555555555666666666555555444444444555555555555555555555555444333333333333333333333333222222222333333444555222222222222222222222222------,,,,,,,,,---......***,,,------,,,++++++,,,------------.....................///////////////------------------------,,,---------......//////------,,,,,,,,,---...///......---------......///------,,,,,,,,,,,,---------------------------------------............///---....../////////......000...------......---++++++,,,,,,---...//////000//////////////////000000..................------//////000000000000//////------...///000111111222//////000000000111111111111333444444333222222333555555444333333333333333333333333333333444555666555555555555555555555555444444444555666666777777777777666666666666777777777666666666666666777777666666777777888888999999777666777888999888666444777777888999999999999888666777888:::;;;;;;:::::::::::::::;;;;;;<<<<<<===999;;;<<<===<<<<<<===>>>>>>>>>>>>???AAABBBCCCDDDBBBCCCCCCDDDEEEGGGKKKMMMNNNSSSYYY[[[ZZZ\\\aaafffgggiiilllooorrrvvv{{{~~~}}}{{{{{{yyywwwttttttvvvxxxzzzzzzyyyxxxxxx{{{wwwqqqccc^^^VVVPPPKKKHHHEEECCCDDDDDDCCCBBBBBBAAAAAAAAAAAABBBCCCBBB@@@?????????@@@??????AAACCCEEEEEEDDDCCCAAA???===<<<;;;:::999999999:::::::::999888888999999888888888888888888777777777888888888999999777777888888999999888888555555666666666555444444444444444444444444555555555555555555444444444444333333333222222333333444444444444444444444444444222222222333333333444444444444444444444444444444111222222222333333444444333333333222222333333333444444444444333222111000333222222111111000000000222222222333333333444444333333333333333333333333111111222222222333333333111111111111222222333444333222222111111222222333222222222222222222222222444333333222222222222222111111111111111111111111111222333333111111222333333333222222222333444555222222222222222333444444333444444555555555555555444444444555666666777777555555666777777777777777666666666666666666666666888888888888888888888888666666777777777777666666666666666666666666666666777777777777777777777777888888777777888999999:::888888777777888999::::::888888888888888888888888999888777666666777888999666666666666666666666666777666666666555555444444333444444444555555555666555555555555555555555555444444444444555555555555333333222222333333444444222222222222222222222222,,,,,,,,,,,,,,,------...***,,,------,,,++++++,,,---------------------,,,........................,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---......//////,,,+++***)))***+++,,,------------...............------,,,,,,,,,,,,---------------------------------------............///,,,---..................111///...---......,,,+++,,,---------.../////////......////////////000000/////////..................//////000000//////.../////////000000111111111///000000000111111111111000222333333222111222222555444444444333333222222444444333333333444555555444444444444444444444444333333444444555666666666777666666555555666666777666666555555666666777777777777777777888888888888777666666777888999777666666777888888999999888888444555888:::<<<;;;:::999<<<;;;:::999888777777666444666888999888888999:::<<<<<<;;;;;;;;;<<<======???>>>=========???@@@AAACCCFFFIIIIIIHHHIIIKKKNNNMMMOOORRRTTTUUUXXX[[[^^^[[[___dddggggggddd^^^[[[YYYYYYYYYXXXVVVVVVXXXZZZZZZZZZXXXWWWWWWYYY^^^bbbwwwvvvtttoooggg^^^VVVPPPLLLIIIDDDBBB@@@@@@???>>><<<<<<<<<<<<<<<;;;;;;;;;:::;;;======<<<;;;<<<<<<999999888:::<<<======<<<===<<<;;;:::999888888888666777777777777666555555444444555555555555666666555666666666777777777888666666666666666777777777555555666666666555555444444444444444444555555555555555555444444444444333222222111111111222333333333333333333333333333333222222222222333333333333333333333333333333333333222333333333333333333444333333222222222222333333555555555444333222000000222222222222222111111111222222222222333333333333333333333333333333333333111111111111222222222222111111000111111222333444444333222111111222333444222222222222222222222222444333222222111111111111222222222222222222222222111222333333111111222333333222000//////111333555222222111111222222333444333333444555555555555444333444444555555666777777333444555666666777666666777777777777777777777777888888888888888888888888555666666777777666666555666666666666666666666666555555666666777777777888777777777777888999::::::999999888888888999999:::888888888888888999999999888888777777777777888888666666666666666666666666777666666555555444444444222333333444555555666666222222222222222222222222444444555555555555555666222111111000111111222222222222222222222222222222+++++++++++++++,,,------***,,,------,,,++++++,,,******++++++,,,,,,------------------------------,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,------...//////,,,+++***))))))+++,,,...+++,,,.../////////...------,,,,,,++++++,,,,,,------------------------------------............///+++,,,---...............000...---...//////...---..................//////........./////////000000000000000//////...............////////////......000111111111111111111111000000000111111111222222000222333333111111111222222222333444444444333333555555444333333333444444333333333333333333333333222333333444555555666666666666555555555555666666555555555555555666777777888888888777777777777777666555444444666888888777666777777888888888888888666666777888888999999888::::::999888777666555555444777999:::999999999:::<<<;;;:::999999999:::;;;===<<<;;;;;;<<<======<<<>>>??????@@@@@@AAACCCCCCBBBDDDFFFGGGGGGGGGIIIJJJIIIKKKNNNPPPPPPNNNKKKIIIFFFHHHHHHHHHFFFEEEFFFGGGHHHHHHHHHGGGGGGIIINNNQQQZZZYYYVVVRRRLLLGGGCCC@@@AAA???===<<<======<<<;;;888888999999999999999999777999::::::999888999:::666555444555777888888666999999999999777777777888888888999999999999888888444444555555555666666666555555555555555666666666666666666555555555555666444444555555555555555444444444444444555555555666555555555444444444333333222222111111222222333444333333333333333333333333111222222222222333333333333333333333333333333333444444444444333333333333333333222222222222333333444444444444333333222111222222222222333333333333111222222222222333333333222222222222222222222222111111222222222333333333000000000000111222333444444333111000000111333444222222222222222222222222333333222222222333444444333333333333333333333333111222333333111111222333000000000000111111222222111111111111111222333333222333444444555555444444333333444555555666666777333444555666777777777777777777777777777777777777777777777777777777777777555555666666666666555555666666666666666666666666444444555555666777888888777777777777888999:::;;;::::::999888888888999999777777888888888999999999777777888888888888777777666666666666666666666666777777666555555444333333444444444444444444444444222222222222222222222222333333333444444555555555222222111111000111111222222222222222222222222222++++++******++++++,,,---***,,,...---,,,+++,,,,,,+++,,,---...000111222333---------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,---...//////...---,,,++++++---///000***,,,...000000///...------,,,,,,++++++,,,,,,---........................---------.........//////+++,,,------.........---...------...000111000//////////////////.........---.........//////000000111111000000/////////.........////////////......222222222111111111111111111111111111222222222222000111333333111000111222///000222333444555555555666555444444333333333333222222222222222222222222222222333444444555555666666666555555555555666666555555555555555666777888999999888888777777666666555333222222444777888777666666777888888888888888999888666555555555777888777777777888888999999999555777:::;;;:::999999::::::999777666666666777888<<<;;;;;;<<<===>>>===<<<:::888888999<<<>>>???>>>;;;<<<>>>>>><<<;;;<<<<<<>>>??????@@@@@@@@@??????<<<>>>???>>><<<::::::;;;===>>>>>>>>>>>>AAAFFFIIIIIIGGGEEEBBB???>>>======;;;:::999999::::::999777555666777888888888888888666777999888666555555666666555444444666777666555444555666666444444444555444444555666777777777777444444444444555555555555555555555555666666666666888777666666555555666666333444444555555555444444444444444555555666666666555555444444444333333333333222222222333333444555333333333333333333333333111111222222222333333333333333333333333333333333555555555444444333333333333222222222222222222333222222333444444444333333222222222333333444444444111111222222222333333333222222222222222222222222222222333333333444444444000000000000111222333444444333111000000111333444222222222222222222222222222222222333444555777777333333333333333333333333111222333333111111222333...000222333333222111000111111111000111222222333222333444444555555444444333333444444555666666777444555666777888888888888777777777777777777777777666666666666666666666666555555666666666666555555666666666666666666666666333333444555666777888999777777777777888999:::;;;;;;;;;:::999888888888888777777888888999999999999666777888999999888777666666666666666666666666666777777666555444444333333666555555444444333333222444444444444444444444444222222222333333444444444444444333333222333333333222222222222222222222222)))))))))******+++++++++***,,,------------...000...---,,,,,,+++++++++,,,........................///000000000///...------...------,,,,,,,,,------000///...---,,,+++***)))------------------------.........------,,,,,,,,,//////...,,,,,,,,,,,,,,,000000/////////.........'''((()))***,,,---...///////////////////////////------/////////...---,,,000000////////////000000000...---...111222111///,,,,,,---...///000111111000000000000000000000000000000000000000000000000222222222222222222222222111111111111222333444555555555555444444333333333222222444555666666777777666666666666666666666666666555555444444444555555444555666555444333444666777777777777666666666666777888888777555444555666666666777777777777666666777777777777777777777777444555666777777888777777888888999999999:::::::::999999999999999999999999999999888888888888888888:::999999888888999999:::===<<<<<<;;;;;;<<<<<<===::::::::::::::::::::::::========================999999::::::<<<>>>???@@@@@@???===<<<<<<;;;999777:::999999999888777777777888888777666666666666666444555666777777888777777666666666666666666666666666666666666666666666666444444444333333222222222444444444444444444444444666666666666666666666666666666666666666666666666222333333444444333333222333333333444444444555555333333333333333333333333444444444444444444444444333333333333333333333333111111111111111111111111333333333222222111111111444444555555555444222111222222111111222222333444444444444333333222222222111222222333333222222111222222222222222222222222222222222222222222222222444333111000000111333444000111111111111222222222444444444444444444444444222333333444444333333222333333333222222222111111111111111111111111111111222222111111111111222222444333333222111000//////111111222333333333333222222222222333333444444444555555555555555555555555666666666666555555555555666666666666666666666666777777666666555555444444666555444333222333444555555555444333333333333444222333555666666666555444777777888888888999999999888888999999999999888888555666777888888888888888888888777777777777888888666666666666666555555555555555444444444333333333444444444444444444444444333333333333333333333333333444444555555444444333222222222222222222222222333333333333333333333333,,,,,,,,,,,,,,,,,,------,,,---...---+++)))***+++......---,,,,,,,,,,,,,,,------------------------.........///......------...------,,,,,,---------111000000///---,,,,,,+++------------------------------------------,,,,,,------,,,,,,,,,------......---------,,,,,,,,,,,,++++++,,,,,,------..............................------...//////...---,,,000000////////////000000000...---...111222000///.........///////////////////////////////////////000000000000000000000000222222222222222222222222555444333222111111111111444444444444333333333333222333444444444444444333444444444444444444444444666555555444444444555555666777888777666555666888777666666666666666666666777888999888666666666777888888999999999999888888777777777777777777777777666777777888888888888888777777777777888888888888666666666666666666666666888888888888888888888888999999999888888999999999666666555555555555666666::::::::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;888888888999:::;;;<<<===<<<;;;999999999999777555777777777777777777666666888777777666666666666666555555666777777777666666555555555555555555555555555555555555555555555555666666555555555444444444444444444444444444444444444444444444444444444444555555555555555555555555111222222333333222222111333333333444444444444555333333333333333333333333444444444444444444444444333333333333333333333333222222222222222222222222333333333222222222111111333333444444444333111111333333222222333333444555444444333333333222222222111222222333333222222111222222222222222222222222222222222222222222222222444333111000000111333444000111111111111222222222333333333333333333333333222333333444444333333222111111111222222333333333111111111111111111111111222222111111111111222222333333222222111000000000...///000111222222222222333333333333333333333333555555555555555555555555666666666666666666666666666666666666666666666666666666666666555555555555555555444333333333444555666555444444333333444444444444555666666666666555999999999:::::::::;;;;;;777777777888888777777777666666777888888888777777888777777666666777777888666666666666666666666555555555555444444444333333444444444444444444444444333333333333333333333333333333444444444444333333222222222222222222222222333333333333333333333333------,,,,,,,,,,,,,,,,,,+++,,,---,,,***((()))***...---,,,,,,+++,,,,,,,,,------------------------+++,,,---------------,,,---------,,,,,,------...000000///...---,,,,,,+++------------------------,,,,,,------------------++++++,,,,,,---...//////------------,,,,,,,,,,,,.........---------------........................------......///......---000//////......//////000///...---...000111000///000000//////....................................000000000000000000000000222222222222222222222222555444333222111111111111333333333333333333444444333333333333333222111111222222222222222222222222555555444444444555555666666777888777666555666888666666666666666666666666666777888777666555666777888888999999999999888888777777777777777777777777888888888888888888888777555555555555666666666666888888888888888888888888888888888888888888888888999999888888888888999999777777666666666666777777999999999999999999999999888888888888888888888888777777777777777888999999777666555555666666555333555555555555666666666666777777777666666666555555666666666777666666555555555555555555555555555555555555555555555555555555555555555555444444444444444444444444444444444444333333333333333333333333444444444444444444444444000111111222222111111000333333333333444444444444333333333333333333333333444444444444444444444444333333333333333333333333333333333333333333333333333333333222222222222111111222222222222222111000333333333333333444555555333333333333222222222222111111222222222222111111222222222222222222222222222222222222222222222222444333222111111222333444000111111111111222222222222222222222222222222222222222333333333333222222//////000111222333444555111111111111111111111111222222111111111111222222111111111111111111111111......///000111222222222444333333333333333333333444444444444444444444444555555666666777777888888666666666666666666666666555555555555555666666666555444444333444444555555666555444444333444444444666666555555666666777888666666666666777777777777666666666666666666666666777777888888888777666666777666666555555666666777555555666666666666666666555555555444444444444333444444444444444444444444333333333333333333333333333333444444444444333333222222222222222222222222333333333333333333333333+++++++++******)))))))))((()))++++++******,,,---,,,++++++******+++++++++,,,,,,,,,,,,,,,,,,,,,,,,)))***+++,,,,,,,,,,,,,,,------,,,,,,,,,---............------,,,,,,++++++------------------------,,,,,,,,,------.........+++,,,,,,------.................................------------------------........................---------.............../////////....../////////............///000000//////////////////.........////////////////////////////////////////////////111111111111111111111111111111111111222333444444111111222222333333444444222222333333333333222222222222222222222222222222555444444444444555666666444555666555444333444666555555555666666666666666444555666666444444444666666666777777777777666666666666666666666666666666999999888777777666666666444444555555555666666666888888888888888888888888777777777777888888888888888888777777777777888888::::::999999999999::::::999999999999999999999999777777777777777777777777777777666666666666666777666444333444666666555444444444555555666666777777666666666666666555555555666666666666555555444333555555555555555555555555555555555555555555555555222222222222222222222222333333333333333333333333333333333333333333333333222222222222222222222222111111222222222222111111222222333333333444444444333333333333333333333333333333333333333333333333222222222222222222222222333333333333333333333333222222222222222222222222222222222222222222111111333222222222222333444444333222222222222222222222111111222222222222111111111111111111222222222222222222222222222222222222333222222111111222222333000000111111111222222222222222222222222222222222222222333333333333222222///000000111222333333333111111111111111111111111222222111111111111222222000000111111111222222222000000111111111111000000222222222333333444444444444444444444444444444444555555666666777888999999666666666666666666666666444444444555555666666666444444444444444555555555666666555444444444444444777666555555555666888999444555555555666666666666666666666666666666666666777888888888777666555555666666555555555555666666555555555555666666666666555555555555444444444444444444444444444444444444333333333333333333333333333333333444444333333333222222222222222222222222222222222222222222222222+++++++++******))))))))))))***,,,,,,++++++---...***)))))))))))))))******,,,,,,,,,,,,,,,,,,,,,,,,))))))***+++,,,,,,,,,+++,,,,,,,,,,,,,,,---...///......------------------------------------------,,,,,,,,,------.........------.........---,,,+++------..................+++++++++,,,------..............................------------......////////////............//////---...............///000------......///000000111000000000000000000000000////////////////////////111111111111111111111111111111111111222333444444000111111222222333333333111111333444444555555555222222222222222222222222444444444444444555666666444555666555444333444666444444555555666666666777555666777777555555666777666666777777777777666666666666666666666666666666888777666555555555555555555555555666666666777777555555555555555555555555666666777777777888888888888777777666666777777888888777777666666777777888888888888888888888888888777777777777777777777777888777777666666666666666666555555555777888777666555555555666666777777777555666666777666555444444555555555555555444333222555555555555555555555555555555555555555555555555222222222222222222222222333333333333333333333333444444444444444444444444222222222222222222222222222222333333333333222222222222222333333333444444333333333333333333333333333333333333333333333333222222222222222222222222333333333333333333333333222222222222222222222222333222222222222333333333111111111111111222222333222222222222222222222222000111111222222111111000000000000111111222222222222222222222222222222222222222222222222222222222000000111111111222222222333333333333333333333333111222222333333222222111111111111111111111111111111111111111111111111111222222111111111111222222000000000111222222333333444444444333222111///...000000111222444555666666444444444444444444444444444555555666777888888999666666666666666666666666333333444444555555666666444444444555555666666666666666555444444444444555777666555555555666888999999999999999::::::::::::888777777666666777777888777777777777777666555444666666555555555555666666444555555555666666777777666666555555555444444444444444444444444444444444333333333333333333333333222333333333333333333222222222222222222222222222222222222222222222222222------,,,,,,,,,,,,,,,,,,,,,---...---+++)))***+++)))))))))((())))))***+++++++++++++++++++++++++++)))***++++++++++++++++++,,,,,,,,,,,,---......///......//////////////////------------------------,,,,,,---------------------...//////...,,,+++***++++++++++++,,,,,,,,,,,,***++++++,,,---.........---------------------------------------...///000///......------......///,,,...//////...---///000,,,,,,---...///000111111111111111111111111111111000000000000000000000000111111111111111111111111555444333222111111111111111111111111111111222222000111222444555555666666333333333333333333333333444444444444444555666777666777888777666555666888444444444555555666666777777888999999888888999:::888888999999999999888888777777777777777777777777777666555444333444555666666666666666777777777888555555555555555555555555555666666777777888888888777777666666666666777777777666666555555666666777777777777777777777777777777777777777777777777777888777666666666666666777777666555666777888777666555555555666666666666666555555666777666555444333444444444555444444333333444444444444444444444444444444444444444444444444333333333333444444444444333333333333333333333333444444444444444444444444222222222222222222222222333333333444444333333333222222222222333333333333333333333333333333333333333333333333333333333333222222222222222222222222333333333333333333333333111222222222222333333333333222222222222333444444000000000000000111222222111111111222222222222222000000111111111111000000//////000000111222222222222222222222222222222222222222222222222222222222000111111111111222222222333333333333333333333333111111222222222222111111222222111111111000000000111111111111111111111111222222111111111111222222000000111111222222222333555555444444222111///...000000111222444555666666333333333333333333333333444444555555666666777777666666666666666666666666444444444444444555555555333444555666666666666666777666555555444444555555666666555555666666777888777888888888888999999999888888666666666666888888666666777777777666555555777666666555555666666777444444555555666777777777666666666555555555444444444444444444444444444444333333333333333333333333222222333333333333222222222222222222222222222222222222222222222222222222,,,,,,,,,,,,,,,,,,------+++,,,---,,,***((()))******************+++,,,,,,++++++++++++++++++++++++++++++,,,,,,++++++******,,,,,,,,,,,,---...//////,,,,,,,,,------.........------------------------------------------,,,,,,+++,,,...//////---,,,+++******+++++++++,,,,,,,,,---------------.........------------------------------,,,,,,---...000111///......------......///+++...//////------...000---.........//////000000000000000000000000000000000000000000000000000000111111111111111111111111555444333222111111111111111111111111111000000000111111222333333333333333333333333333333333333333444333333444444666777777666777888777666555666888333333444555555666777777666777888888777777888:::888888999999999999888888777777777777777777777777777666444444444555777888666666666666777777777777777777777777777777777777555555666666777888888999777666666555555666666777888777777666666777777888777777777777777777777777777777777777777777777777666666555555555666666777777555444555666666555444555555555444444444444444444555666777777555333222222333333444444444333333444444444444444444444444444444444444444444444444222222333333333444444444222222222222222222222222333333333333333333333333222222222222222222222222222222333333333333222222111222222222222333333333333333333333333333333333222222222222222222222222111111111111111111111111222222222222222222222222111111222222222333333333222111111000111222333444111111000000111111222333000111111111222222222222000000111111111111000000/////////000111222222222222222222222222222222222222222222333333222222222000111111111111222222222222222222222222222222222111111222222222222111111000000000000111111111111111111111111111111111111222222111111111111222222111111111111111222222222222222222222222111000000222222333333333333444444333333333333333333333333444444444444555555555555666666666666666666666666555444444444444444444333222333555666777777777666777666666555555555555555444444555666666666666555444444444555555555666666888777555444444555777888555555666666777666666666888777777666666777777888444444555555666777777888666666666666555555555555444444444444444444444444333333333333333333333333222222333333333333222222222222222222222222222222111111111111111111111111)))))))))******++++++,,,'''(((******))))))+++,,,,,,+++++++++,,,------...************************,,,,,,,,,,,,,,,+++***)))+++++++++,,,---...///000((((((((())))))******+++------------------------.........------,,,,,,,,,)))+++---/////////------,,,,,,,,,------.........111000000///......------------------------------------,,,,,,---...000111.........------.........+++---//////---,,,...000///////////////.........////////////////////////000000000000000000000000000000000000000000000000111111111111222333444555222222111111000000//////111222222222222111000000222222222222222222222222333333333444555666777888444555666555444333444666333333444444555666777777222444555555444444555777666666777777777777666666777777777777777777777777777666555444555666999:::555555555666666666666777444444444444444444444444444555555666777888888999666666555555555555666666555555444444444444555555777777777777777777777777666666666666666666666666555444444444444555666777555444333333444444333111444444444333333222222222444555666777777555333222111222333333444444444444444444444444444444444444444444444444444444444444000000000111111222222222222222222222222222222222222222222222222222222222222222222222222222222222111111222222222222111111111111222222222333333333333333333333333333333333222222222222222222222222111111111111111111111111111111111111111111111111111111111222222333333333111000/////////111222333222222111111222222333444000000111111222222222222000000111111111111000000...//////000111222222222222222222222222222222222111222222333333222222111000111111111111222222222000000000000000000000000111111222222222222111111......///000111222333333111111111111111111111111222222111111111111222222111111111111111111111111...///000111111222222222555555444333333222111111333333333333333333333333444444444444444444333333666666666666666666666666555555555444444333333333222333555777777777777666777777666555555555555555222333555666666666555444666666666777777777777888777666444333333444666777444444555666777777777666888888777777777777888888444444444555666777777888777666666666555555555555444444444444444444444444333333333333333333333333222222222333333222222222222222222222222222222222111111111111111111111111---------------------------,,,***)))))))))******+++++++++++++++,,,,,,---++++++++++++++++++++++++***+++,,,---...////////////...,,,+++***+++,,,,,,---,,,++++++******++++++.........------,,,,,,,,,---..................------,,,,,,+++*********+++000...,,,---///000...,,,,,,---...//////...---,,,//////////////////////////////...---------......///000111000...---...////////////////////////////////////......---------+++---000222333222000...,,,------..................///000111222333333333////////////000000000000111111222222222222111111444333222222222333444555000000111222333333444444777666555444444333444444777777666666555555555444666666777777666555444444666777999:::;;;;;;::::::666666777999:::999777444777777777777777777777777666666777777666555444444666666666666666666666666888888999999999999888888555555666666666666555555555555444444444444555555555555555555555555555555666777777777888888888888666555555555555444444444666666666666555555555555444444444444444444444444444444444444444444444444222222333333333333444444555555444333333333444444333333333333333333333333333222222111111222222333111222222333333222222111111111222222222333333333666666555444444333222222333333222222222222222222111111222222222333333333111111111111111111111111000000000111222222222333444444333333333444555555222222222222222222222222......//////000000111111111111111111111111111111333333222111111222333333222222222222222222222222000000000000000000000000222111111111000000//////000000000111222222222333333222111111000111111111222222111111111111222222222222111000/////////000111111111111111111111111000000111111111222222222333333333222222111111111111111000000000000111111222111111111000000//////222222222222222222222222111111111111111111111111111111222333333333333222444444444555555555555666777777777666555444222222555444333333444555666777444555555555444333333222444555555666777888888999999888777555555555666777555555555555666777999999666777777777777777666666888888777666666666666666444555555666666666666666555555555666666666666666666777888777444333444555666666777777777666444333444444444444444444444444333333222111222333444555333333333222222111111111333333333222222222111111000111222333333222111000,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,***)))))))))******)))(((((((((((()))*********************************+++,,,---------------......---,,,,,,,,,,,,,,,---,,,++++++******++++++---------,,,,,,,,,++++++,,,,,,,,,------,,,,,,,,,---,,,,,,+++******++++++...,,,+++,,,......---+++,,,---...//////...---,,,------------------------------------------......,,,---------+++***+++,,,.................................---------,,,,,,---...///111111000///...------...////////////...//////000111222222222222////////////000000000000111111222222222222111111111111000000000111222333111111111222222333333444666555555444444444444444777666666666555555555444666666666666666555444333333444555666666777777777777666777888999999666444444444444444444444444444666666666666666555444444555555555555555555555555444444555555555555444444555555666666666666555555555555444444444444555555555555555555555555555555555555666666666777777777555555555555444444444444666666666666555555555444222222222222222222222222333333333333333333333333111111111222222222333333444444333333333444444555333333333333333333333333222222222222222222222222111222222333333222222111111111111222222222333333555555444444333222222111222222222222222222222222111111111222222222333333111111111111111111111111111111111111111222222222222222111111222222333444222222222222222222222222////////////000000111111111111111111111111111111333222222111111222222333222222222222222222222222111111111111111111111111111111111111000000000///111111111111111222222222111000000000111222333333222222111111111111222222111111000/////////000000111111111111111111111111000000111111111222222222333222222222222222222111111111000000000000111111111111111111000000000///111111111111111111111111111111111111111111111111000111222222333333222222333333333333444444444444444444555444444333222111444444333333333444555666444444555555444444333222333444444555666666777777888777666444444444555666555555555555666777888999555666666777666666555555888888777666666666666666555666666777777777777777777777777777777666666666666666666666666666555555444444555555555444222222444444444444444444444444333333222222222333444555333333333222222222111111333333333222222222111111---...///000000///...---++++++++++++++++++++++++,,,+++******)))*********((((((((((((((())))))******************************++++++,,,,,,,,,++++++------------------,,,+++---,,,++++++******++++++,,,,,,,,,+++++++++++++++******++++++++++++******---,,,,,,+++++++++++++++,,,+++***+++,,,---,,,+++,,,---...//////...---,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,------......---/////////---,,,---...........................------------,,,,,,,,,,,,..................------......///000000000//////000000111111111111000000////////////000000000000111111222222222222111111000000000000000111222333222222222222222222222222444444333333333444555555666666666555555555555555444555555555555444333333222222222222333444555555777777777888888888555333444444444444444444444444555666666666666555444444444444444444444444444444222333333333333333333222555555666666666666555555555555444444444444555555444444444444444444444444444444444555555555555666555555555555444444444444666666555555555444444444222222222222222222222222222222222222222222222222000000111111111222222222333333222333333444555666333333333333333333333333111222333333333333222111111222222333333222222111111111111222222222222333444444333333222111111111000111111111222333333333111111111222222222222333111111111111111111111111222222222111111111111111000000000///000111111222222222222222222222222222/////////000000000000111111111111111111111111111333222111111111111222333222222222222222222222222222222222222222222222222111111111111000000000000222222222111111111111111/////////000111333444555222222111111111111222222000000/////////000000111111111111111111111111111111111111111111222222222111111111222222222222222111111000000000000111111111111111111000000000000000000000000000000000000111111111111111111111111000111222222333333222222222222222222333333333333111222222333333222222111444333333333333444555555444444555555444444333333333333333444555555666666666555555444444444444555555555555555666777888888666777777888888777777666888777777666666666666666666666777888888888888777999888888777777666666666555444444666999:::888666444444444555444444333222444444444444444444444444333333222222222333444555333333333222222222222111333333333222222222111111000000111222222111000000++++++++++++++++++++++++++++++************************))))))******+++,,,******************************+++++++++******)))***+++,,,------,,,+++***---,,,++++++******++++++++++++************************++++++++++++******---,,,,,,+++++++++,,,,,,++++++++++++,,,,,,,,,,,,,,,,,,............,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,)))***+++,,,------.........///000///...---...///........................,,,,,,,,,,,,,,,,,,,,,,,,000///---,,,+++,,,,,,---...//////000000000000000000000000111000000//////////////////000000000000111111222222222222111111111111111222222333444444333333222222222222222222222222222222333444555666555555555555555555555555333444444444444444333333555444333333333555666777888777666777777777444222666666666666666666666666555555555666666555444444444444444444444444444444444444555555555555444444444555555666666555555444555444444333333444444555444444444444444444444444444444444444555555555555555555555444444444333333555555555444444444333333333333333333333333333333111111111111111111111111111111111111222222222222222222222222333444555666222222222222222222222222000111333444444333111000111222222333333222222111111111111111222222222222222222222222111111000000///000000111222333333444111111111111222222222222111111111111111111111111333222222222111000000000000////////////000111111111111111111111111111111000000000000000000000000111111111111111111111111222222111111111111222222111111111111111111111111222222222222222222222222111111111000000000000000333222222222111000000000000000000000111222333444222222111111111111222222000000000000000111222333111111111111111111111111111111111111111111111111000000111111222222333333111111000000000000111111111111111000000000000000000000000000000000000000111111111111111111111111000000111222222222222222222222222222333333333333000111222333333333333333444444444444444444555555333444444555444444333333333333444444555555555555666555555555555555555555555555555555555666777888888888999999:::999999999777777666666666666777777555555666777777777777777999888888777666555444444666444444888>>>???<<<777666666666666666666555555444444444444444444444444222222222333333333444444222222222222222222222222333333333222222222111111222222222222222222222222,,,,,,,,,,,,,,,,,,,,,,,,************+++************************++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,******+++++++++***)))))))))***+++,,,,,,+++***)))---,,,++++++******++++++************************++++++,,,,,,,,,,,,++++++---,,,,,,+++,,,,,,------+++,,,,,,,,,,,,------...+++,,,---......---,,,+++------------------------)))***+++,,,---...------***+++,,,,,,******+++,,,........................,,,,,,,,,,,,,,,,,,,,,,,,000...---+++++++++,,,---...//////000000000000000//////000000000///......////////////000000000000111111222222222222111111000000111222333333444444333333222222222222222222111111111222222444555666444444444555555555555555333333444444444444444333666555444333444555666777777666555555666666444333666666666666666666666666444444555555555555444444555555555555555555555555555555555666666555555555444444555555555555444444444444333333333333444444444444444444444444444444444444444555555555666666555444444444444333333333444444444444333333333333333333333333333333333333111111111111111111111111222222222333333333333444111111111222333444555666222222222222222222222222000111333444444333111000111222222333333222222111000000111111111222222222222222111111111111000000//////000111222222333333000000111111111222222222111111111111111111111111333222222222111000000000000000000000000111222222111111111111111111111111111111111111000000000000111111111111111111111111111111111111111111111111111111111111111111111111222222222222222222222222000000000000000000111111333222222222111000000000222222111111111111111222222222111111111111222222111111111111222222333444111111111111111111111111111111111111111111111111000000000111111222222222111111000000000000111111000000000000000000111111111111111111111111111111111111111111111111111111000000111222222222222111333333333333444444444444111222333444555555555555555555666666555555555555333333444444555444444333555555555555555666666666666666666666777666666666555555555555555666666777666777888888999999999888777777666666666666777777333444555555666666555555777777666555444444333333888666777<<>>999666666555555666666666666444444444444444444444444222222333333333444444444222222222222222222222222333333333222222222111111/////////....../////////,,,,,,,,,,,,,,,,,,,,,,,,))))))***++++++++++++***)))))))))))))))******+++------------------------)))******+++++++++******)))******+++++++++++++++---,,,++++++******++++++***************+++++++++,,,,,,------------,,,,,,,,,,,,,,,,,,,,,------...***+++------,,,,,,...///+++,,,---......---,,,+++------------------------***+++,,,.........---,,,***,,,------++++++,,,...------------------------,,,,,,,,,,,,------------///...---,,,+++,,,---.........///000000000//////......///////////////...////////////000000000000111111222222222222111111------///000111111111111222222222222222222222222111111111111222333444555444444444444444555555555333333444555555555555444444444333333333333444444666444333444555666555444333333333333333333333333333333444555555555555444666666666666666666666666333444444555555444444333444444555555555555444444444444333333333333444444333333333333333333333333444444444555555555666666444444444444333333333333444444333333333222222222111111111111111111111111111111111111111111111111222222333333333444444444222222111222222333444555222222222222222222222222111222333333333333222111111222222333333222222111000000000111111111111222111111111111111111111111///000000000111222222222000000000111111111111222111111111111111111111111222222222111111111111111111111111111111222222333111111111111111111111111222111111111111000000000111111111111111111111111000000111222222111000000111111111111111111111111222222222222222222222222000000000000111111111111222222222111111111111111333222222111000000111111222222111111111111222222222222111111111222333333111111111111111111111111222222222111111111111111000000000111111111111111111111000000000000111111000000000000111111111111111111111111111111111111111111111111111111111111///000111111222222111111333333333333444444444444333444555555666666666666555555666666555555444333333333444444555555444444555555555555555555555555555666777777888777777777666555555444555555666666444444555666777777777777666666666666666777777888333333444555555555555444666555555444444333333333888999;;;???BBBBBB===888444444333333333444555555444444444444444444444444111222333444444444333333111222222222222333333333333333333222222222111111111000000//////000000111++++++++++++++++++++++++((()))***+++,,,++++++******************++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,))))))***+++,,,,,,,,,,,,,,,,,,++++++,,,------...---,,,++++++******++++++*********+++++++++,,,,,,,,,,,,------------,,,,,,,,,,,,,,,,,,,,,---......(((***,,,,,,++++++---///+++,,,------------,,,+++,,,,,,,,,,,,,,,,,,,,,,,,+++,,,...//////...---,,,,,,---//////...---///000------------------------,,,,,,---------.........---------------......///------...////////////...,,,------...////////////////////////000000000000111111222222222222111111,,,---...000111222111111111111111222222333333444111111111111111222333444333333333444444555555555333444555666666666666666222333333444333333333222444333222333555666666555333333333333333333333333222333444444555555555444555555555555555555555555333333444444444444333333333444444555555444444333444333333222222333333444333333333333333333333333333333333333444444444444444444444333333333222222333333333333222222222222000000000000000000000000222222222222222222222222111222222222333333333333333222222222222222333333111111111111111111111111222222222222222222222222111222222333333222222111000000000000111111111111222222222222222222222222000000000000111111111111000000000000111111111111111111111111111111111111111111111111111222222222111111000000111111222333111111111111111111111111222222222111111111000000111111111111111111111111///000111222222111000///111111111111111111111111111111111111111111111111///000000000111111111111111111111111111222222222111111111000111111222222222222111111111111222222111111000000///000000000111111111111111111111111222222222111111111000000111111111111000000000000111111000000000000111111///000000000111111111111000000000000000000000000111111111111111111111111///000000111111111111111222222222222333333333333444555555666666666555555333333444444444333222111222333444444555555444444444444444444444444444444444444666777777777666666666555555444444555555555444555666777888888888888666666666666666777888888333444444555555555555555555555555555555444444444777:::>>>AAAAAA>>>:::777444333333222333444555666444444444444444444444444111222333444444444333333111111222222222333333333333333333222222222111111333333222111111222333333))))))))))))))))))))))))((()))***+++,,,,,,+++***------,,,,,,------...///++++++++++++++++++++++++((()))***+++,,,---------......---,,,---...000111---,,,++++++******++++++******++++++,,,,,,,,,,,,+++,,,,,,------,,,,,,+++,,,,,,,,,,,,,,,---...///&&&)))++++++)))))),,,...++++++------------++++++++++++++++++++++++++++++,,,---///000000...---+++)))***+++++++++***,,,------------------------------------....../////////,,,------....../////////,,,------...............+++,,,---...////////////////////////000000000000111111222222222222111111---...000222333444333333000000111222333333444444111111111111111111222333333333333444444555555555444444555666777777666666333444555666666555333222333222111222444666777666555555555555555555555555222333444444555555555444444444444444444444444444444555555666666555555444333444444555555444444333444333333222222333333444333333333333333333333333111111222222222333333333444444444333333333222222333333333222222222111111222222222222222222222222222222222222222222222222000111111111111222222222333333222222111222222222111111111111111111111111333222222111111222222333222222222333333222222222000000000000111111111111222222222222222222333333111111111000000000000000000000000000111111111111111111111111111111111111000000111111222222222333000000000000000111222222000000000000000000000000222222222222111111000000111111111111111111111111///000111222222111000///000000000000000000000000000000000000000000000000//////000000111111111222000000111111222222222333//////000000111222444444222222111111111111222222111000///...............111111111111111111111111222222222222111111000000222222111111000000//////111111000000000000111111//////000000111111111222////////////////////////111111111111111111111111//////000111111111111111000111111111111222222222444555555666555555444444111222222333222111000///222333333444555555555444333333333333333333333333222333555666666666555555666555555444444444555555777888999:::;;;<<<<<<<<<666666666666666777888888444555555666666666666666555555555666666666666666666:::???AAA???;;;777555666555555444555666777888444444444444444444444444111222333444555444333333111111111222222333333333333333333222222222111111111000///......///000111***************)))((((((((()))+++,,,------,,,++++++++++++,,,,,,---------,,,+++***))))))***+++,,,++++++++++++++++++++++++......------,,,+++*********++++++,,,,,,++++++***---...//////000000//////,,,++++++***)))))))))***,,,,,,............,,,,,,+++,,,,,,------,,,,,,+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++*********++++++++++++++++++++++++------------------------***+++,,,---............------------------------........................///......------///000111222222000000000111222333000000000000000000000000000111222333333222111000111111222222222111111000000000000000000000000000111111111111111111111111222222111111222222333444888777666555444333222222222111111000111222444555222222333333333333444444555555555444444333333333444444555666666555444444555444333333222222333333111111222333333444444555222222444444444444222222222111111000111111222222333333333333333333333333333333222222333333444555333111000000222333444444444444444333333222222222222222222222222222222222222222111111222222333444444444333333333333222222333333333333333333333333222222222111111111111000333222111000000111222333000,,,...333333...,,,000222111111111111111222222111111111111111111111111222111111111000000//////222222111111111111222222111111111111111111111111222222111000///...------------...///000111222222111111111111111111111111111111222222222333333333222222222111111111000000111111111111111111111111111111111111111111111111000000000000000000000000222222222111111111000000111111000000000000000000111111222222222333333333//////000111222333333444000000000000000000000000000000111111111111000000444333111////////////000111111111111111111111111222222222222111111111111000000000000000000000000......///000000000000000000000000000000000000000111111000000000000000111222222333333333333444444444444444444444444444444333333333333333333333333555555555444444333333333222222333333444555666666777555222222333555666666777666444333333444555666999888888888777777666666444555666777777888777777666444333666999:::888666666555444333444444666666===@@@BBBAAA<<<777555444666555333222222333555666666666555555555444444444333222222111000000000111333333333333333333333333333222222222111000000000111111222222222222111111***************)))((((((***+++,,,,,,,,,+++***************++++++,,,,,,,,,,,,,,,+++******+++,,,,,,........................---------,,,+++************++++++,,,,,,++++++***((())))))***************,,,,,,+++***************+++,,,------------,,,+++)))******++++++******))),,,,,,,,,,,,,,,,,,,,,,,,...------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,------------------------++++++,,,---............------------------------........................///......---...///000111......//////111222444444000000000000000000000000......////////////......111111111222222111111000000000000000000000000000222222222222222111111111222222111111222222333444555555555555444444444444333333222222111222222222222222222333333333444444444444444444444333333333444555555555555555555444555555444333333333333444444444333333333222222222222333333333333333333222333222222111111111222222222222222222222222222222333222222222222333444444333222000111222333333222444444333333333222222222////////////////////////222222222222222333444444444444333333333222222222333333333333333333333333222222222111111111000000222222111000000111222222333000000444444000000333333333222222111222222222111111111111111111111111111111111111000000000///222111111000000111111222111111111111111111111111222111111111111111111111000000000000111111111111111111111111111111111111111111111222222222333333222222222111111111000000111111111111111111111111111111111111111111111111111111111111111111111111222222222111111111000000111111111111111111111111111111111222222222333333111111111111111111222222000000000000000000000000000000111111111111000000000000///......///000111111111111111111111111111000000000000////////////000000000000000000000000......///000000000000000000000000000000000000000222222111111111111111222222222222333333333444444333333333333333333333333333333333333333333333333444444333333333222222222333333444444555666666777;;;888555444555666666666666555444444444555666666888888888777777777666666555666666777777777777666555444444666888:::888666666555444444444555777888@@@BBBCCCAAA<<<777444444777666444333333444666777666555555555444444444444333333222111111111111111333333333333333333333333222222222111111111111111111111222222222222111111*********+++******)))(((,,,,,,---,,,,,,***)))((()))***************++++++---,,,,,,++++++,,,,,,---++++++++++++++++++++++++,,,,,,,,,+++******))))))***++++++,,,,,,++++++***))))))***++++++++++++***---,,,,,,+++++++++++++++***+++,,,,,,,,,,,,+++***)))******++++++******))),,,,,,,,,,,,,,,,,,,,,,,,,,,------------------...------------------------------------------------,,,,,,------...---------------------------------........................///............///000000---...///000111111111111000000000000000000000000......------------......000000111111222111111000000000000000000000000000222222222222222222222222222111111111111222333333333333333444444555555555333444333333222111000000222222222222333333333333333333333333444444444444555555444444444444555555666666555444444444444444666555444333222111000///333333222222222222333333444444333222222222222222111111111111111111111111222222222222222333444444333222111222333333222000333333333333222222222222222222222222222222222222222222222222333333444444333333333333222222222222333333333333333333333333222222111111111000000000222222111000000111222222444111111333333111111444555444333222222222222222111111111111111111111111111111111111000000000000222111111000000111111222111111111111111111111111111111111111222222333333222222222222111111111000111111111111111111111111111111111222222222222333222222222111111111111111111111111111111111111111111111111111111111111111222222222222222222222222222111111111111000000000111111111111111111111111111111111222222222222333222222111111111000000000000000000000000000000000000000111111111111000000------------...///111111111111111111111111111111000000000000////////////000000000000000000000000......///000000000000000000000000000000000000000222222222111111222222333222222222222333333333333222222222222222222222222333333333333333333333333333333222222222222111111444444555555666666777777;;;999666555555555555444444444444444555666777777888888777777777777666666666777777777777666666555555444444666888888777666666555444444555777999;;;DDDDDDCCC@@@;;;666333333777666555444444555666777555555555555444444444444444333333222222222222222333333333333333333333333111111111111111222222222111111222222222222111111*********++++++******))),,,,,,,,,,,,++++++******************++++++++++++,,,,,,,,,++++++,,,,,,,,,************************+++++++++*********))))))***++++++,,,,,,++++++***++++++,,,---------------------,,,++++++,,,,,,---*********++++++*********+++,,,,,,------,,,,,,+++------,,,,,,,,,,,,++++++*********++++++,,,,,,,,,,,,,,,,,,,,,------------------------------,,,,,,---------...------,,,,,,------------------------..................................../////////000///000111111000...,,,+++////////////////////////111111///......///111111///000000111111111111111000000000000000000000000222222222222333333333333111111111111111222222333222333333333444444444444222222333444333222111000111222222222222333333333222222222333333444444555555555444333333444555555555555444333333333333444555555444333222111000000444333222111111222333444555555444333222222222222222222222222222222222222222222222111222333333444333222222333444333111...333222222222222222222222333333333333333333333333000111111222222222222222333333333222222222222111222222222222222222222222111111111111000000000000222111111111111111111222000000000111111000000000444444333222111111111111111111111111111111111111111111111000000000000000111111000000000000111111111111111111111111111111000000000000000000000000111111111111111111111111111111111111111111111111111111111111222222222222111111111111111111111111111111111111111111111111111111111111111111111111222222222222222222222222111111111111000000000000111111111111222222222222111111111111222222222222111111111111000000000000000000000000000000000000000000111111111111000000---.........///000000111111111111111111111111111222222222222111111111000////////////////////////......///000000000000000////////////////////////111111111000111111222222111222222222222333333333111111111111111111111111333333333333333333333333333333333222222222222222444444444444555555666666777555333333333444333222333444444555666777777888777777777777777777666666777777888777777666555444444444555666777777777666666555444444666999<<<>>>GGGFFFCCC>>>999555333222666555444444444444555666444444444444444444444444444444333222222333333444333333333333333333333333000000000111222222222333111111222222222222111111******++++++++++++***************++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++******++++++++++++******------------------------++++++*********************++++++,,,,,,++++++******++++++,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,------************************+++,,,,,,------,,,,,,+++---------,,,,,,+++++++++*********++++++,,,,,,,,,******++++++,,,,,,,,,,,,......---------,,,,,,,,,---------...------,,,,,,------------------------........................---......//////////////////000000000///...,,,+++////////////////////////333222000000000000222333...///000111111111111111000000000000000000000000111111111222222333333333111111000000111111222333333333333333222222222222000111222333444333222222111111111222222222333333111222222333333444444444444444333333333333444444444333222222111111222222222222222222222222222222333333111000000111333333555444333333222222222333333333333333333333333333222111111111111222333333333222222333444333111...222222222222222222222222000000000000000000000000//////000111222111111000333333222222222111111111222222222222222222222222111111111000000000//////111111111222222111111111---000222222222222000---222222111000000000000000111111111111111111111111000000000000000000111111111000000000000000000111111111111111111111111111//////......---,,,,,,+++......//////000111111222111111111111111111111111000000111111111222222222111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000111111111222222222000000111111111222222222...//////000111111222222000000000000000000000000000000111111111111000000000000000000000000000000000000000000000000000000222222222222111111111000////////////////////////......///000000000000000///////////////////////////////////////000111111111111111222222222333333111111111111111111111111333333333333333333333333333333333444444444444444222333333333333333444444444222111222444555555444333444555666777777888888666666666666666666777777777777888777777666555444444555666666666666666666666555444555777;;;???BBBHHHEEE@@@;;;888555444333333333333333333333333333333333444444444444444444333333333222222333444444333333333333333333333333000000000111222222222333111111222222222222111111)))***++++++,,,+++++++++************+++,,,---...---------,,,,,,,,,,,,,,,)))******++++++******)))++++++++++++++++++++++++++++++++++++++++++++++++***++++++,,,,,,++++++***,,,------...///.........,,,++++++++++++,,,,,,---++++++***))))))***++++++)))******++++++******)))...------,,,,,,++++++***,,,------------------...)))******++++++,,,,,,---.........------,,,,,,+++,,,,,,------...---------------------------------........................---......///000/////////,,,---...///000000000000000000000000000000000000000000////////////000000......///000111111111111000000000000000000000000000000000111111222222333111000000000000111222222333333333222222111111111000000111222333333444333111111111111222222222222222222222222333333333333333333444444444444333333333222222111111111111111000000111111222333333444222222111111111111222222333333222222222222333333333333333333333333333333111111111111111222333333333222111222333333222000111111111222222222222222111111111111111111111111...///111222222222111000222222222222111111111111222222222222222222222222111111000000000/////////000111222222222222111000...222333222222333222...000000/////////000000000111111111111111111111111000000000000111111111111111000000//////000000111111111111111111111111111//////...---,,,+++******------...///000111222222111111111111111111111111000000000111111111111222111111111111111222222222111111111111111111111111111111111111111111111111000000000000000000000000//////000000000000000111/////////000111111222222000000000111111111111222---......///000111222333000000000000000000000000000000111111111111000000000111111111111111000///000000000000000000000000000000000000////////////000000000000000000000000......///000000000000000000000000000000000000000...............///000111111111111111222222222222111111111111111111111111333333333333333333333333333333444444444444555555222222222222222222222333444333333444777888888777444555666777777777777777555555666666666666777777666777777777777666666555333555777666555444555666666555444555888===BBBFFFGGGCCC<<<888666555555555222222222222222222222222333333333333444444444444333222222222222333333444333333333333333333333333111111111111111222222222111111222222222222111111)))***++++++,,,,,,,,,+++,,,+++*********+++,,,---,,,,,,,,,,,,++++++************+++,,,,,,+++******))))))))))))))))))))))))+++++++++,,,,,,,,,,,,,,,***++++++,,,,,,++++++***------...///////////////***************+++,,,,,,,,,+++************+++,,,)))******++++++******)))......---,,,,,,+++******...------------------,,,******++++++,,,------...///......---,,,,,,++++++++++++,,,---............------------------------........................------///000000000///...---------...///111222333000000000000000000000000......////////////......---...///000111111111111000000000000000000000000...//////000000111222222000000000000000111222222111111111111222222222222222222222111222222333333111111111111222222222222333333333222222222222222111222444666666444222111444333222222111111222222///000000111222222333333111111222222222222111111111111111111111222333444222222222222222222222222111111111111111222222333333222000111222333333222000111111111222222222222333333333333333333333333000111333444444444222111222222222222111111111111111111111111111111111111111000000000////////////000111222222222222111000000333111------111333000////////////000111222333111111111111111111111111///000000000111111111111000000////////////000000111111111111111111111111000000//////.........---/////////000000111111111111111111111111111111111000000000000111111111111000000111111111222222222111111111111111111111111111111111111111111111111111111111111111111111111////////////000000111111---......///000000111111000000000000111111111111.../////////000000111111000000000000000000000000000000111111111111000000---...///111111111000000000000000000000000000000000000000000////////////000000000000000000000000......///000000000000000000000000000000000000000............///000111222111111111111222222222222222222222222222222222222333333333333333333333333222222333333333444444444333333333333333333333333444333333555666777666555555666777777888777666666555555555666666666777777555666666777777777777666333555777777444333444666666555444666999???EEEHHHEEE???888444444666777777222333333333333333333222222222333333333444444444111111111111111222333333333333333333333333333333222222222111111111111111111111222222222222111111)))***+++,,,,,,,,,,,,,,,...---,,,***)))******+++++++++++++++******))))))++++++------------++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,+++++++++,,,,,,+++++++++(((((()))************)))***)))))))))***++++++,,,---,,,+++******+++,,,---,,,,,,,,,------,,,,,,,,,......---,,,,,,+++******,,,,,,,,,++++++*********++++++,,,------...////////////...---,,,,,,++++++***+++,,,---......///...------------------------........................,,,---///000000000///...111000///......///111222000000000000000000000000...///000111111000///...---...///000111111111111000000000000000000000000---......///000111111111000000000000000111111222...///000111222333444444555444222111000111111222000111111111111222222222444333333222222111111111000222444777777444222000555444333333222222333333000111111111111222222222000111222333333222111000/////////000111222444444111111111111111111111111111111111000111222222333333111000000222444444444000000111111222222222222000000000000000000000000111222444666666555444333222222222111111111111000111111111111111111111111000000000000////////////000111222333333222111000000222...''''''...222000//////000000111222444555111111111111111111111111//////000000111111111222000000////////////000000111111111111111111111111111111111111222222222222222222222111111111111111111111111111111111111111000000000000111111111111000000111111222222222222111111111111111111111111111111111111111111111111222222222222222222222222.../////////000000111111,,,------...///000000111000000000000111111111111000000000000////////////000000000000000000000000000000111111111111000000***+++---///111111111111000000000000000000000000222222222222111111111111000000000000000000000000...//////000000000000000000000000000000000000000////////////000111222333000111111111111222222222222222222222222222222222333333333333333333333333111111111222222333333333444444444444444444444444444333222333444444333111666666777888888777666555444555555555666666777777555555666777777888777777333555777777444333444666666555444666:::@@@FFFJJJCCC===666222333666888888333444444555555444444333222222222333333444444444111000000000111222222333333333333333333333333333333222222222111111000000111111222222222222111111000---))))))***+++***)))++++++,,,,,,,,,,,,++++++,,,,,,,,,++++++*********************************++++++++++++++++++++++++***(((((()))+++,,,,,,+++++++++************++++++------------------------------,,,++++++,,,,,,,,,++++++******++++++,,,---++++++++++++++++++++++++***+++,,,---...---,,,,,,))))))***+++,,,,,,------++++++++++++,,,,,,---...///...,,,++++++,,,...///------------------------,,,,,,,,,---------......---------............///...............---------////////////////////////............////////////......//////////////////...---------...///111222111000///......///000111000000000000////////////000000000000111111111111222222222222222222222222333222222111111222222333222222222222222222222222222111111111000000//////222222222222222222222222222222222222222222222222000000000000000000000000000000000000000000000000111111222222222333333333000000000000111111111111333333333222222222111111222222222222222222222222222222222111111111111111000000000000000000000000111111111000111111222333222111000//////000111222//////000111222333333444222222222222222222222222////////////000000000000222222222111111111000000222222111111111111222222222111000//////000111222222222222111111111000000111111111111111111111111000111111111222222222222111111222333444555555666111111111111111111111111333222222222111000000000111111111111111111111111000000000000000000000000111111111222222333333333222222111111111111111111222222222111111111000000000000000000000000000000/////////000111111222222111111111000000000000000111111111111111111111111000000000000000000000000000000000000////////////222111111000///000000000222222111222222111...+++000000000000000000000000000000000000000000000000000000000000111111111111000000111111111111000000111000///---------.../////////000111222333333333111111111111111111111111111111333333444333222111333333333333333333333333222333333444444333333222444444444555555555555666555444444444444555666666777555444444666777777666555666666666666666555555555666777666444333333555444444444777===CCCGGGIII<<<:::777444333222333333333333333333333333333333444444444444444444444444444444444444444444444444111111222222222222111111111111222222222222111111222222111111111111222222222///---,,,......---+++******++++++++++++******,,,,,,,,,+++++++++******++++++++++++++++++++++++++++++++++++++++++++++++,,,---..................++++++************++++++,,,,,,,,,,,,,,,,,,,,,,,,---,,,,,,++++++,,,,,,,,,+++************+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,***+++,,,---------,,,,,,***++++++,,,------......------,,,,,,,,,---......,,,,,,+++*********+++,,,------------------------,,,,,,,,,---------......------------............000000000000000000000000////////////////////////............///////////////////////////...............------...///000111111000///......///000111000000000000////////////000000000000111111111111222222222222222222222222333222222111111222222333222222222222222222222222222222222222111111111000222222222222222222222222222222222222222222222222111111111111111111111111000000000000000000000000000000000000000000000000000000000000111111111111333333222222111111111111222222222222222222222222111111111111111111111111111111111111111111111111000000000000111222333333222111000//////000111222111111111111111111222222222222222222222222222222/////////000000000111111111111111000000000//////111000000000000000000111222111000//////000111222222222222111111111000000111111111111111111111111000000000111111111222222111111111222333333444444111111111111111111111111222222222111111111111111111111111111111111111111111111111111111111111111222222222222222222333333111111111111111111111111222222222111111111000000000000000000000000000000111111111000000000000000111000000000000000000000111111111111111111111111000000000000000000000000111111000000000/////////222111111000000000000000000/////////000000///---000000000000000000000000000000000000000000000000000000000000111111111111000000111111111111000000222111000/////////000111000000000111222222222333111111111111111111111111111222333333333222111111333333333333333333333333222333333444444333333222333333333333444444444555555555555555555666777777888666444444666666666555555555666666666666555555555666777666444333444555555444555999>>>CCCFFFFFF;;;999777444333333333444333333333333333333333333444444444444444444444444333333333333333333333333222222333333333333222222111111111222222111111111222222111111111111222222---,,,++++++,,,,,,***(((************************,,,,,,,,,++++++++++++***,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++))),,,//////---******+++++++++************++++++++++++++++++++++++++++++,,,,,,++++++++++++,,,,,,******))))))******+++,,,------------------------***++++++,,,---,,,,,,,,,+++,,,,,,------......//////......------------...++++++++++++++++++++++++------------------------,,,,,,,,,---------......------------............++++++,,,,,,------..........................................////////////000000//////.........---//////............///000000000////////////000000////////////000000000000000000000000111111111111111111111111111111111111222222111111111111222222222222222222222222222222333333333222222222222222222222222222222222222222222222222222222222222222222222222222222222222222000000000000000000000000111111111000000000000000000000000000111111111111222111111111111000000000222222222222222222222222///000000111111222222222222222222222222222222222///000000111222222333333222111000000000000111222222222111111111000000000222222222222222222222222000000000111111111222222000000000///////////////000000////////////000000111111000000000000111111222111111111111000000000111111111111111111111111/////////000000000111111111111111111111111111111000000000000000000000000111111111111111222222222000000000000000000000000222222222222222222222222333333222222222222222222111111111111111111111111222222222111111111111111000000000000000000000000222222111111000//////...000000000000000000111111111111111111111111111111000000000000000000000000222222111111111000000000111111111000000000000000///...,,,---///000000///000000000000000000000000000000000000000000000000000000000000111111111111000000111111111111000000222222111111111222333333111111111111111111222222111111111111111111111111333333333333333222111000333333333333333333333333222333333444444333333222222222222333333333444444666666666555666777777888999777555555555666555444444555555666666666555555444666666666444333444555555666888<<<@@@CCCCCCBBB999777666444333444444555333333333333333333333333444444444444444444444444222222222222222222222222333333333444444333333333111111111111111111111111222222111111111111222222******+++++++++***((('''***))))))))))))))))))***++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,***+++++++++++++++,,,,,,'''---111111,,,((((((***++++++************++++++++++++++++++++++++++++++++++++++++++++++++,,,---******)))))))))***++++++------------------------******++++++,,,,,,,,,,,,+++,,,,,,,,,------......///...---,,,,,,,,,,,,,,,,,,,,,---.........------------------------------,,,,,,,,,---------......,,,,,,---------.........((())))))***+++,,,,,,---////////////////////////............////////////000000000///......------/////////...............000000////////////000000////////////000000000000///000000000111111111111000000000000000000000000222222111111111111222222111111111111111111111111222222222222222222222222222222222222222222222222111111111111111111111111111111111111111111111111000000000000000000000000111111222222222333333333///000000000111111111111111000000000000000000000111111111111111111111111...//////000111222222333111111111111111111111111...///000111222333333333111111111111111111111111111111111111000000000000111111111111111111111111000111111111222222222222000000000000000000000000000000////////////000000111000000000000000000111111111111111000000000000111111111111111111111111////////////000000000000222111111111000000//////////////////////////////000000000111222222222333////////////////////////222222222222222222222222333333333222222111111111111111111111111222222222111111111111111111111111000000000000000000000000111111111111000000//////000000000000000111111111111111111111111111111111000000000000000000000000222222222222111111111000111111111111111000//////111///------...000000000///////////////////////////////////////////////////000000000111111111111000000111111111111000000111111111111222333333444222222222111111111111111111111111111111111111111333333333333222111111000333333333333333333333333222333333444444333333222222333333333333444444444555555555555555666777777:::888555555555555444333444444555555666666555555444555666555444333444666666777:::>>>AAABBB???===666666555444444444555555333333333333333333333333333333333333333333333333222222222222222222222222222222333333333333222222222111111111111111111222222222111111111111222222+++---.........,,,++++++******)))(((((()))******++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,*********++++++,,,,,,,,,+++000555444///++++++,,,++++++************++++++,,,,,,,,,,,,,,,,,,,,,,,,************++++++,,,---*********)))***++++++,,,++++++++++++++++++++++++************++++++,,,,,,++++++++++++,,,,,,,,,,,,------,,,+++*********++++++,,,---............---------------------------,,,,,,,,,---------......,,,,,,,,,------------...++++++,,,---...//////000000000000000000000000000............////////////000000//////.........---///////////////.........//////000000000000//////.../////////000000000111///000000000111111111111000000000000000000000000222111111000000111111222111111111111111111111111000000111111111111111111222222222222222222222222111111111111111111111111000000000000000000000000000000000000000000000000//////000222333444555666///000000000111111111111000000000000000000000111111111111111111111111111......///000111111222222000000000000000000000000...///000222333333333222111111222222222222111111...//////000111111222222111111111111111111111111000111111111222222222222111111111111111111111111222111111000000111111222000000000111111000000000000000000000000000000000000000000000000000000000////////////000000000000222111111000000//////...////////////////////////000000000111222222222333////////////////////////111111111111111111111111333333333222222111111111000000111111111222222222111111111111111111111111000000000000000000000000//////000000111111111111//////000000111111111111111111111111111111111111000000000000000000000000222222222222111111111000000111111111111000//////555222///...///000/////////////////////////////////////////////////////////000000000111111111111000000111111111111000000//////000111111222222222222222222111111111111111111111111111111111111111444333333222222111111111333333333333333333333333222333333444444333333222444444444444555555555555444444333333333444555555:::888555555555555444333333333444555555555555555333555666555444444555666555777:::>>>AAA@@@<<<999555555444444444444555555333333333333333333333333333333333333333333333333444444444444444444444444111111222222222222111111222222111000000111222222222222111111111111222222***+++---,,,+++******++++++***)))(((((()))***+++***++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,*********++++++,,,,,,---+++...111000---******+++++++++************++++++,,,,,,,,,,,,,,,,,,,,,,,,******)))******+++,,,---++++++******++++++,,,---+++++++++++++++++++++++++++************+++,,,,,,++++++++++++++++++++++++,,,++++++************+++*********++++++,,,,,,---------------------------,,,,,,,,,---------......,,,,,,,,,,,,------------++++++,,,,,,------......000000000000000000000000............////////////////////////////////////......///////////////...//////000000000000//////......//////000000111111000000000000111111111111111111111111111111111111111111000000000000111111111111111111111111111111000000000000000111111111222222222222222222222222111111111111111111111111////////////////////////000000000000000000000000------...000111222333444000000000000111111111111000000000111111111111222111111111111111111111111...//////000000111111111///////////////////////////000111333333222111111111111222333333222111111---......///000111222333111111111111111111111111000000000111111111222222111111111111222222222222222222111111111111222222000000111111111111000000//////000000000000000111000000000000000000000000/////////000000000111111222111111111000000//////000000000000000000000000111111111111111222222222000000000000000000000000111111111111111111111111333333222222222222222222000000000111222222333333111111111111111222222222000000000000000000000000...//////000111111222222/////////000111111222222111111111111111111111111000000000000000000000000222222111111111000000000000111111222222000///...555333111000000000///---000000000000000000000000000000000000000000000000000000000000111111111111000000111111111111000000...///000000111000000000111111111111111111222222111111111111111111111111333222222111111222333333333333333333333333333333222333333444444333333222444444444555555555666666333333222222333333444555999777555555555666555444222333444555555555555555333444666555444444555666555666999===???>>>:::777555555555444444444444444333333333333333333333333333333333333333333333333444444444444444444444444000111111222222111111000333222111000000111222333222222111111111111222222''')))***)))'''&&&)))+++,,,+++***))))))***+++,,,******+++++++++,,,,,,,,,++++++++++++++++++++++++)))******+++,,,,,,------***+++++++++***)))((((((++++++************++++++++++++++++++++++++++++++))))))))))))***+++,,,---,,,,,,,,,+++,,,,,,---...,,,,,,,,,,,,,,,,,,,,,,,,+++***)))))))))***,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++******++++++,,,,,,******))))))***,,,---...------------------------,,,,,,,,,---------......++++++,,,,,,,,,---------*********+++++++++++++++....................................////////////------......///000000000,,,---...///000000//////...///000111111000///............///000111111111000000000000111111111111222222222222222222222222111111000000000000111111111111111111111111111111000000000111111222222222222222222222222222222222111111111111111111111111////////////////////////000000000000000000000000000000000000000111111111000000000000111111111111111111111111222222333333111111111111111111111111/////////000000000000000////////////////////////000111222333333222000///111222222333333222222111.../////////000000111111111111111111111111111111/////////000000000111111000000000000111111111222111111000000000000111111///000111222222111000///////////////000000111111000000000000000000000000000000000111111111222222111111111111111111111000111111111111111111111111222222222111111111111111111111111111111111111111222222222222222222222222222222222222222222333333///000000111222222333333000000111111111222222222000000000000000000000000000000000000000111111111...//////000111111222222111111111111111111111111000000000000000000000000111111000000000////////////000222222222111///...111000///000111000///---000000000000000000000000000000000000000000000000000000000000111111111111000000111111111111000000///000111111111000///...000000000111222222222333111111111111111111111111222111111111111333444555333333333333333333333333222333333444444333333222333333444444444555555555444333333333333444555555888666444444666666666555111222333444555555555555333444555555444444555777444555888;;;===<<<888555555555555555444333333222333333333333333333333333222222222222222222222222333333333333333333333333111222222333333222222111333222111//////111222333222222111111111111222222+++,,,---+++)))))),,,///---,,,***))))))***,,,---*********++++++,,,,,,,,,************************))))))***+++,,,,,,------...---++++++------,,,***++++++************++++++))))))))))))))))))))))))))))))))))))***+++,,,---------,,,,,,------...///------------------------+++***)))))))))***,,,---------------------------++++++++++++,,,------...---,,,+++***+++---000111------------------------,,,,,,,,,---------......++++++,,,,,,,,,---------///.....................,,,,,,,,,,,,,,,,,,,,,,,,............/////////000,,,,,,---...///000111111+++,,,...000000000000000...///000111111000///...---......///000111111222000000000000111111111111222222222222222222222222111111000000000000111111000000000000000000000000111111111222222333333333222222222222222222222222000000000000000000000000000000000000000000000000000000000000000000000000444444333333222111000000000000000000111111111111111111222222222333333333000000000000000000000000000000000000////////////000000000000000000000000111222333444333111///...111222333444444333222111000000000000////////////000000000000000000000000////////////000000000000.../////////000000111111000000////////////000000///000111222222111000///.../////////000000111111000000000000000000000000111111111111222222222222111111111111111111222222111111111111111111111111333222222222111111000000111111111111111111111111333333333333333333333333111111111222222333333444///000000111222222333333000000111111222222222222000000000000000000000000222222111111000/////////...//////000111222222222111111111111111111111111000000000000000000000000000000000000///////////////000222333222111///...------...///111111///---000000000000000000000000000000000000000000000000000000000000111111111111000000111111111111000000000111222222111000///...//////000111222333333444111111111111111111111111111111000000111333555666333333333333333333333333222333333444444333333222222222333333333444444444555444444444444555666666777555444444666777777666111222333444555555555555333444555555444444666777333444666999<<<;;;888555555555555555444333222111333333333333333333333333222222222222222222222222222222222222222222222222222333333444444333333222333222000//////000222333222222111111111111222222((())))))))))))*********************************------,,,+++******++++++******+++++++++,,,,,,,,,---------,,,,,,++++++++++++++++++*********))))))((()))))))))************)))************+++++++++***++++++++++++***))))))++++++******+++,,,------------,,,,,,+++***)))))))))******++++++,,,------,,,,,,,,,+++++++++******------,,,,,,***)))'''&&&***++++++,,,------------...,,,)))(((***,,,------------............------.........------,,,,,,+++))))))***++++++,,,---------------------------------......///////////////......---------,,,,,,,,,.../////////000111111111222111///------///111222000000000///////////////+++,,,...///111222222222222222222111111111000000111111000000/////////...//////000000000000//////000000111111111111000000000000000000000000000000111111111111111000/////////111222111///.........111111000000//////............//////000000111111......///000111222222333000000000000000000000000444222111///...---......---...///111222222222222222111111111000000//////111111111000000000//////222111111111000000//////222111000.........///000000000000000000000000000000000000000000000000000111111111111111000//////.../////////000000000111111111111000000000000000000000000000000000000000000000000000000000000000111111111000000000000000......------------......000000000000000000000000222111111111000000//////111111000000//////......111111111111111111111111111111111111111111111111000000000000000000000000222222222111111111000000000000000000000000000000111111111111111111111111000000000000000000000000000000000000000000000000000000000000000000000000222222222111111111000000////////////////////////000000////////////000000000000000000000000000000............////////////000000000000000000000000............////////////000000000000000000000000000111111111222222222222222222222222222111000///111000...------///111222222222222111111111111000444444444333333222222222111111222333333333333222444333333333333444555555222333333444444333333222333333333444444444555555444444555666666777666666333333333444555666777777444444555555555555444444555444444333333444444555444444333222222111111000000000111111111111000000555444222111000111222222222222222222222222222222111222222333222111000///)))))))))*********++++++***************************)))((((((''''''((((((++++++++++++++++++++++++,,,,,,,,,,,,+++++++++***+++++++++*********))))))************++++++++++++)))************+++++++++((()))***+++++++++++++++))))))(((((()))******+++,,,,,,,,,++++++*********)))******++++++,,,,,,---)))******++++++,,,------,,,+++++++++++++++++++++++++++,,,---------,,,,,,)))'''%%%&&&))),,,---...,,,,,,------------,,,,,,------,,,,,,,,,,,,,,,,,,******++++++,,,,,,------------------------------------...///////////////.........---------,,,,,,------------------..............................000000000000000000000000,,,---...000111111111111111111111000000/////////))))))***,,,---///000111//////000000000000//////000000111111111111000000000000000000000000000000000000000000000///......---///111111000//////000111000000000/////////.........//////000000000000/////////000111111111222000000000000000000000000111000///......//////000///000000111111111000000111111111000000000//////222111111111000000000000111111111000000000//////222111000///......///000000000000000000000000000000000000000000000000000111111111111111000//////////////////000000000000000000000000000111111111000000000000000000000000000000000000000000000000111000000000000000000000000000////////////000000000000000000000000000000111111111111000000000///111111000000////////////111111111111111111111111000000000000000000000000000000000000000000000000222222222111111111000000000000000000000000000000111111111111111111111111000000000000000000000000000000000000000000000000000000000000000000000000111111111000000/////////111111111111111111111111000000////////////000000000000000000000000000000............////////////////////////////////////............////////////000000000000000000000000000000000111111111222222111222222222222111000///000000/////////000111222000000111111222222222333444444333333333222222222111111222333333333333222444333333333333444555555333444444555555444444333333333333444444444555555555555666666777777666666333444444444555666666666444444555555555555444444333333333222222333333333222222222222222222222333333333444444444444333333444333222111111111222333222222222222222222222222111222222222222111000///************+++++++++,,,************************)))(((''''''''''''''''''++++++++++++++++++******+++++++++***************+++++++++******************++++++++++++,,,,,,,,,)))************+++++++++'''((()))***+++,,,,,,,,,)))))))))((())))))***+++++++++++++++++++++******))))))******+++,,,,,,,,,'''((()))***,,,---//////************+++---///000,,,,,,---------,,,++++++)))'''&&&'''***,,,------++++++,,,,,,,,,,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------------------------------------...////////////..................------------------,,,,,,,,,,,,,,,,,,---///000000///---,,,//////000000111111222222......///000000000000000000000////////////......'''((()))+++---///111111//////000000000000/////////000000111111000000///000000000000000000000000///////////////...------,,,...000000000000111222000000000000////////////...////////////000000000000000000000000000000000000000000000000000000000///.........//////000111000111111111000000///...111111000000000000//////222111111111111000000000111111000000000000//////111000000////////////000000000000000000000000000000000000000000000000000000000111111000000//////000000000000//////////////////000000111111222222000000000000000000000000000000000000000000000000000000000000000000111111111000000//////000000111000000000000000000000000111111111111000000000000111000000000000/////////111111111111111111111111////////////////////////000000000000000000000000222111111111111000000000000000000000000000000000111111111111111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000////////////......111111111111111111111111000000////////////000000000000000000000000000000............////////////////////////////////////............////////////000000000000000000000000/////////000000000111111111111222222111111000000000000000111111111222222...///000111222333444444333333333333222222222222111111222333333333333222333333333333333444555555444555555666666555555444333333333444444444555555666777777777777666666555444444555555555555555555444444555555555555444444333222222111111222222333000111111222333333444444444444444555555444444444222222111111111222333333222222222222222222222222111111222222111111000///******+++++++++,,,,,,,,,************************+++******)))))))))******++++++++++++*********************)))))))))))))))*********************************+++++++++,,,,,,))))))*********+++++++++(((((()))***+++,,,,,,,,,,,,+++++++++++++++,,,,,,************++++++++++++)))))))))***++++++,,,,,,(((((()))***,,,---...///***)))(((((())),,,...000------------,,,++++++***///---+++***,,,,,,,,,+++++++++,,,,,,,,,,,,++++++++++++,,,,,,------......---------------------,,,------------------------,,,---......//////............................../////////...---------,,,......////////////.........//////000111222333333//////000000000000//////////////////////////////......////////////////////////000000000000////////////000000000000//////000000000000000000000000//////000000//////...------///000111000///000111000000000000////////////////////////////////////000000000000000/////////////////////////////////............//////000000///000000000000000//////000000000000000000//////111111111111111111111111000000000000000000//////000000000////////////000000000000000000000000000///////////////////////////000000000000000//////000000000000////////////......///000111222222333000000000000000000000000////////////////////////000000000000000111111111//////............//////////////////////////////111111111000000000000000000000000000000000000000111111111111111111111111000000000000000000000000000000000000000000000000111111111111000000000000////////////////////////111111111111111111111111000000000000000000000000000000000000000000000000000000000000000000000000////////////////////////........................000000////////////000000////////////////////////............////////////////////////////////////............////////////////////////////////////////////////000000000000000000111111111111000000000000111222222222222111///000000111222222333333333222222222222222222222111111222333333333333222333333222222333333444555444444555555555555444444333333333444444444555555777888888888777666555555555555555555555444444444444444555555555555444444333333222222222222333333111111111222222333333333111111222222222222111111000000111111111222333333111111111111111111111111111111111111111111000000******+++++++++,,,,,,,,,************************+++++++++******++++++,,,************************))))))))))))))))))))))))************************))))))))))))*********+++))))))*********+++++++++******+++++++++******))),,,,,,+++++++++++++++,,,*********************+++((())))))******+++,,,,,,******+++++++++,,,,,,,,,***)))((('''((())),,,---------------,,,++++++***///---,,,+++,,,---,,,+++,,,,,,------------,,,,,,,,,,,,------......//////---------------------,,,------------------------,,,------...............------................../////////...---------,,,///...,,,++++++,,,...///......///000111222222333000000000000000//////...000000000000000000000000333222222111000//////...//////000000000000////////////000000000000//////////////////////////////000111111111111000/////////000222111///......///////////////000000000000/////////...............000000000//////////////////////////////////////////////////////......---------...000000111111111//////////////////000000000000000000000000000000//////////////////000000/////////000000000000///////////////////////////////////////////////////...//////000000000//////000000000000////////////......///000111222222333000000000000000000000000//////////////////////////////000000111111111111//////............//////////////////////////////000000000000000000111111000000000000111111111111111111111111111111111111111111111111111111111111000000000000000000000000000000000000000000000000////////////////////////000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000........................000000////////////000000////////////////////////............////////////....................................////////////////////////////////////////////////000000000000///000000111111111000000000000111222222222222111111111111111111111111111222222222222222222222222111111222333333333333222333222222222222333444444333333444444444444333333333333333444444444555555777777777777777666555444555555555555555444444444444444555555555555444444444444333333333333444444333333333222222222111111000000111111111111000000///000000111222222222222111111111111111111111111000000000000000000111111************+++++++++,,,************************)))))))))))))))******+++)))))))))*********++++++))))))))))))***************************+++++++++(((((()))))))))*********)))************++++++++++++++++++++++++***))))))+++***))))))((()))))))))******************))))))(((((())))))***+++++++++,,,,,,,,,++++++************)))(((''''''((()))***,,,,,,---------,,,++++++***)))(((***,,,---,,,+++,,,,,,------------,,,,,,,,,,,,---------------...,,,,,,,,,,,,,,,---------------------------------,,,,,,---............---,,,,,,,,,------------------------,,,,,,,,,,,,,,,...,,,***((((((***,,,.........//////000000111111///000000000000000///...//////000000000000111111//////////////////////////////000000000000//////...//////000000//////...////////////////////////111111111111111000000///000111222111///------...////////////000000000000/////////............---////////////////////////000000000000000000000000///////////////...---,,,,,,,,,...///000111111111......////////////000000......////////////000000......////////////000000...//////000000000000///////////////////////////000000000000000000000000......///000000000//////////////////000000000000//////000000111111222222000000000000000000000000000000000000000000000000/////////000111111222222222111111000000111111222000000000000000000000000000000000000111111111111000000000111111111111222111111111111111111111111111111111111111111111111000000000000000000000000//////000000000000000111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000//////000000000000111111111111111111111111111111000000////////////000000000000000000000000000000............////////////....................................////////////000000000000000000000000/////////000000000111111//////000000111111000000000000000111111111222222222222222111111111000000111111111222222222222222111111222333333333333222222222222222222333444444222333333333333333333222333333333444444444555555555666666666666555555444444444555555555555555555444444555555555555444444555444444333333444444555444444333333222111111000111222222333333222222111///000111111222111111111111111111111111111111111000000/////////000111111)))))))))*********++++++************************((((((((((((((()))******''''''((()))***+++,,,,,,)))))))))******+++++++++))))))*********+++++++++))))))*********+++++++++)))************+++++++++)))******+++++++++******+++******)))(((((())))))++++++******))))))(((((((((((())))))******++++++,,,,,,,,,++++++*********((())))))))))))*********++++++,,,---------,,,,,,***))))))***,,,---,,,+++++++++,,,,,,,,,,,,++++++,,,,,,++++++++++++++++++******++++++,,,,,,------------------------------+++,,,------......------+++++++++,,,,,,,,,------------------------......------,,,++++++,,,------.............../////////...///000000000000000///.........//////000000000---.........//////000000//////000000000000//////......////////////......////////////////////////000000000111000//////......000111111///...//////.../////////000000000111//////.........------------.........///000000000000000000000000000000000,,,---.../////////...---------...///000000000///........./////////000000------------.........///........./////////000000---...///000111111000///////////////////////////000000000000000000000000---......///000000//////------...///000111222222000000000000000111111111000000000000000000000000000000000000000000000000...//////000111111222222222222111111111111222222000000000000000000000000///000000000111111111111000000111111111222222222111111111111111111111111111111111111111111111111000000000000000000000000////////////000000111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.........//////000000000111111111111111111111111000000////////////000000000000000000000000000000............////////////....................................////////////000000000000000000000000000000000111111111222222...//////000000000000000000000/////////000111222111111111111111222222222000111111111222222222222111111222333333333333222222222222111222222333444333333444444444444333333333333333444444444555555333444444555555555555444333444444444555666666666444444555555555555444444444333333333333333333444333222222222222222222222222333333444444333333222000111111222222111000///111111111111111111111111000//////...///000111222((())))))))))))*********************************)))))))))))))))***++++++&&&&&&''')))***+++,,,---))))))******+++++++++,,,))))))******++++++++++++******+++++++++,,,,,,,,,)))************+++++++++'''((()))***+++,,,,,,,,,------,,,+++******++++++,,,++++++***)))(((((('''((((((((()))******++++++++++++++++++++++++++++++'''((()))+++,,,,,,,,,,,,***+++,,,,,,------------///...------...---+++)))******++++++++++++******+++*********))))))(((((())))))***++++++,,,------------------------------+++,,,------......------*********++++++,,,,,,,,,.../////////000111111111...///000111111000///..................---------......///000000000000000---------.........//////000000000000000///////////////000000000000//////......////////////......///////////////////////////////////////......---,,,...000111000000000222.../////////000000111111//////.........---------,,,------...///000111111000000000000000000000000***+++---///000000000//////////////////......------.........//////000000,,,,,,,,,------.........---.........//////000000---...///111111111000///////////////////////////000000000000000000000000------...///000000//////,,,---...///000111222333111111111000000000000000000000000000000000000000000000000000000000000000...//////000111222222222000000////////////000000000000000000000000000000//////000000111111111222000000111111222222222222111111111111111111111111000000000000000000000000000000000000000000000000.../////////000000111111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000---------.........//////////////////////////////000000////////////000000000000000000000000000000............/////////000..................................../////////000000000000000000000000000111111111111222222222222......///000000000000000111000...------///111222//////000111222333333444000000111111222222222222111111222333333333333222222222111111222222333444444555555555555555555444333333333444444444555555222222333444555555555555333333444444555666777777444555555555555555555444333222222222222222222333111111111222222333444444111222222333333222222111000111222222111000///...000000000000000000000000000///.........000111222)))))))))***++++++,,,,,,,,,,,,+++***))))))******++++++******))))))((((((++++++******************))))))************))))))++++++***))))))***+++,,,************)))))))))))),,,,,,------,,,+++)))(((,,,++++++******++++++,,,++++++++++++++++++++++++,,,,,,,,,+++++++++************+++++++++,,,,,,,,,******************************))))))******+++,,,...,,,+++))))))))))))*********+++,,,,,,,,,,,,+++++++++++++++++++++++++++++++++++++++++++++++++++))))))***++++++++++++***///...+++))))))+++---...000000///............///,,,,,,------...///000000,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------///000111111222222111///---...//////////////////.........////////////////////////111111000///...---,,,,,,........................////////////////////////000000000000000000000000//////////////////////////////000000///...------//////000000000000////////////......---------,,,////////////////////////////////////000000000000///////////////.........000//////...------,,,,,,222222111000///...------000///...------...///000000000000000000000000000000000///...............222111000//////000111222000000//////......------000000000000000000000000......///000000000000000---......///000111111222000000000000000000000000000000000000////////////222111111111000000//////////////////////////////////////////000000000000000000000000000000000000111111000000000000111111222111111000///......---111000000000111222333333000000111222222222222111000111111111000///---,,,222222000///............000000000000000000000000////////////////////////000000000000000000000000---......///////////////000000000000000000000000222111000.........///000000000//////.........---000000//////.........---000000111111111111000000...............---------////////////////////////000000000000000000000000000000000000000000000000000000000111222222000...111222222333333222222111222222111111111111111111111111111111111111111111111111222222222333333333444444444333333222222222000000111222333333444444555555555555555555555555555666666666555444333333555444333333444555666777333333333444444444555555777666555444444444444444111111111222222333333333111111111111111111111111222222222111000//////...222111111000000000000000333333222222111000000000++++++******************,,,++++++***))))))******))))))(((((((((((((((((((((((()))***+++,,,,,,---))))))************)))))),,,+++***)))))))))***+++************))))))))))))$$$&&&(((***+++,,,,,,,,,,,,++++++******++++++,,,++++++++++++++++++++++++,,,++++++******)))))))))******+++++++++,,,,,,,,,++++++++++++++++++++++++******))))))******+++,,,++++++***))))))***+++,,,'''((())))))******))))))++++++++++++++++++++++++++++++++++++++++++++++++)))******+++,,,+++++++++++++++,,,,,,,,,,,,------/////////.........------,,,,,,------...//////000........................---------...///000111111...//////...,,,++++++,,,/////////////////////...////////////////////////000000000///......------////////////////////////////////////////////////000000000000000000000000///////////////////////////////////////...------//////000000000000///////////////.........------.........................../////////000000000000/////////////////////...////////////////////////111111000000//////......000///...------...///000////////////////////////000000///...............//////...------.../////////////////////.........////////////////////////......///000000000000000......//////000000111111000000000000000000000000000000000000////////////111111111111000000000///000000000000000000000000////////////000000000000000000000000000000000000111111000000000000111111111111000000//////......111111000000111111222333000000111222222222222111111111222222111///...---222111000///............000000000000000000000000////////////////////////000000000000000000000000...//////000111000000000000000000000000000000000222111000///......///000000/////////............000/////////............//////000000000000//////.....................///////////////////////////000000000000000000000000000000000000000000000000000...,,,,,,---.........111222222333333222222111111111111111111111111111111111111111111111111111111111222222222333333333444444333333333222222222000111111222333333444444555555555555555555555555444444444444444444333222444444333222333333555555333333333444444444555555555555444333333333333333111111222222222333333333111111111111111111111111222222111111000//////...222111111000000000000000111111111111111111111222,,,,,,++++++***))))))(((,,,+++******)))*********))))))))))))))))))******))))))*********+++++++++))))))************)))))),,,+++***)))))))))))))))************))))))))))))###$$$''')))+++---......++++++************++++++++++++++++++++++++++++++++++++******)))(((((('''******+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,******))))))******+++,,,))))))))))))***,,,---...***+++,,,,,,------,,,,,,++++++++++++++++++++++++++++++++++++++++++++++++***++++++,,,,,,,,,,,,,,,(((***,,,.........,,,+++------.........---,,,+++,,,,,,,,,---......//////.................................//////000111111---......---+++***+++,,,......//////////////////////////////////////////////////////////////////000000000000000000000000////////////////////////000000000000000000000000///////////////////////////////////////......---...//////000000//////...000000////////////......------------------------....../////////000000000......//////////////////.........///000111111222000000000000//////////////////............//////........................000//////............///......---,,,,,,---...............///////////////..............................///000000000000000////////////000000000000000000000000000000000000////////////000000000000111111111111000000000000111111111111111111111111////////////000000000000000000000000000000000000111111000000000000111111000000000000000000000000111111000000000111222222///000111111222222111111222222222222111000///...222111000//////......///000000000000000000000000000000000000000000000000000000000000000000000000///000000111111111111111000000000000000000000000111000000////////////000////////////............////////////..................////////////...............//////000000000////////////////////////////////////////////////////////////////////////111...+++)))+++---...///111111222222222222111111111111111111111111111111111111111111111111111111111111222222222333333333333333333333222222222222111111111222222333333444444444444444444444444444222222333333444333333333444333222222222222222333333333333444444444555555444333333222222222222222111222222222222333333333111111111111111111111111222222111111000/////////222111111000000000000000//////000111111222333333+++++++++*********))))))++++++***************++++++++++++,,,,,,---------------,,,+++***((((((''')))******++++++******)))++++++******))))))((((((************)))))))))(((******++++++,,,,,,,,,,,,++++++************+++++++++++++++++++++++++++++++++++++++***))))))((((((******+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,******))))))******+++,,,)))*********+++,,,------,,,------...///.........++++++++++++++++++++++++++++++++++++++++++++++++++++++,,,------------,,,***+++,,,......---,,,++++++,,,---......,,,***))),,,,,,,,,------.........,,,,,,,,,,,,,,,,,,,,,,,,------...///////////////...///000///---,,,---...............////////////////////////////////////............//////000000////////////////////////////////////////////////////////////////////////////////////////////////...///////////////.........//////////////////...000000000000000/////////------------------------........./////////000000............////////////---......///000000111111.../////////000000000111/////////....../////////........................000///............///////////////....../////////------......//////000000..............................///000000000000000000000000000////////////////////////////////////////////////000000000000111111111000000000000000000000000000000000000000////////////000000000000000000000000000000000000111111000000000000111111000000000000000000111111111111000000000000111111///000000111111111111111222222222222111111000000111111000///////////////////////////////////////000000000000000000000000000000000000000000000000//////000111111111111000////////////////////////000000000////////////000///////////////.........///////////////.........---..................------......///000111111222////////////////////////........................////////////////////////333000...---...000111111111111222222222222111111111111111111111222222222111111111111111111111111111111222222222333333333333222222222222222222222111111111222222333333333444444444444444444444444111222333444444444444444444444333333222222222111333333333444444444555555333333222222222222333333222222222222222222222222111111111111111111111111111111111111000000//////222111111000000000000000///000000000111111111222))))))*********++++++++++++***************++++++++++++,,,,,,------......------,,,+++***(((((('''******++++++++++++******************))))))((((((************)))))))))(((---,,,,,,+++++++++******+++******))))))******+++++++++++++++++++++++++++,,,,,,+++++++++***************+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,******))))))******+++,,,+++++++++,,,,,,+++++++++))))))***+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++,,,------------,,,...------,,,++++++++++++***,,,---......,,,***))),,,,,,,,,---------------,,,,,,,,,,,,,,,,,,,,,,,,+++,,,---.........---------/////////---,,,---...---.........//////000000////////////////////////------......///000000000........................////////////////////////////////////////////////////////////////////////......///////////////.........////////////....../////////000000000000000------------------------............////////////---.........//////000000..............................//////000000111111...//////////////////...........................//////............//////...//////////////////...------......//////000000..............................///000000000000000000000000000////////////////////////////////////.../////////000000000111000000000000000000111111////////////////////////////////////000000000000000000000000000000000000111111000000000000111111000000000000111111111111111111000000///000000111//////000111111111111000222222222111111111111111111000000////////////000////////////////////////000000000000000000000000////////////////////////---...//////000000///////////////////////////////////////000000000000///.........///////////////.........///////////////------............---------......///000111111222////////////////////////------------------------////////////////////////222111000111333333111000000111111222222111111000000000111111111222222222111111111111111111111111111111222222222333333333222222222222222222222222111222222222222222333333444444444444444444444444222333444555555666555555444444444444333333222222333333333444444444555555444333333333333333444444222222222222222222222222111111111111111111111111111111111000000000000000222111111000000000000000111111111000000000//////((())))))***++++++,,,,,,*********)))******+++,,,******************++++++))))))*********+++++++++******++++++++++++******(((((()))******))))))(((************))))))))))))(((((((((((()))***+++,,,******))))))))))))******+++++++++++++++++++++++++++++++++++++++,,,,,,,,,******+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,******))))))******+++,,,+++,,,,,,,,,,,,,,,+++*********+++,,,,,,,,,,,,+++++++++++++++++++++++++++++++++++++++++++++++++++***++++++,,,,,,,,,,,,,,,...---,,,+++++++++,,,,,,,,,,,,---------,,,+++***,,,,,,,,,,,,,,,,,,------........................++++++---......---,,,+++,,,---...---,,,+++,,,---------......///000000000////////////////////////---.........//////000000........................////////////////////////000000000000000000000000////////////////////////---...//////////////////---......//////......---......////////////000000------------------------------........./////////------......///000000000...............---------......//////000000111111......////////////..............................///............//////000,,,---............---,,,.........///////////////..............................///000000000000000////////////000000000000000000000000000000000000......//////000000111111000000000000111111111111........................////////////000000000000000000000000000000000000111111000000000000111111111111111111111111111111111111000/////////000000...///000000111111000000222111111000000000111111000000////////////000000000000000000000000000000000000000000000000000000////////////////////////------...///////////////000000000000000000000000...//////000000000000///.........///////////////.........///////////////------............------.........//////000000000////////////////////////......................../////////////////////////////////111222222000---000000111111111111000000000000000111222222333333111111111111111111111111111111222222222333333333111111111222222222222222222222222222222222222222333333333333333333333333444444555555666666555555333444444444444444333222333333333444444444555555444333333333333444444555333333333222222222222111111111111111111111111111111111000000000000000000222111111000000000000000222222111000000///......******************++++++******))))))***++++++,,,************))))))))))))(((((()))***+++,,,,,,---***++++++,,,,,,++++++***&&&'''((()))*********)))************))))))))))))'''''''''''')))+++,,,---******))))))))))))******++++++++++++++++++++++++(((((()))***+++,,,------******+++++++++,,,,,,,,,++++++++++++++++++++++++******))))))******+++,,,)))***+++------------,,,+++,,,,,,---------------++++++++++++++++++++++++++++++++++++++++++++++++)))******+++,,,+++++++++)))***+++---......------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,........................+++,,,...//////---,,,+++,,,---......,,,,,,---...------......///000000111////////////////////////.........///////////////........................////////////////////////000000000000000000000000////////////////////////------...///////////////---......//////......---------........./////////........................---------.........//////------......///000000111------......//////000000////////////000000000000---...///000000///...---////////////////////////...............///000000---...////////////...---///////////////.........////////////////////////......///000000000000000......//////000000111111000000000000000000000000.........///000111111111///000000000111111111111////////////////////////////////////000000000000000000000000000000000000111111000000000000111111333222222111111000000000111111000///////////////...//////000000000000000111000/////////000111111000000////////////000000000000000000000000000000////////////////////////////////////////////////......///000000000000000000000000000000000000000---...///000111111000///............/////////000............/////////000......////////////...........................///////////////////////////........................000000000000000000000000111///...///000111000///000000111111111111000000///000000111222222333333111111111111111111111111111111222222222333333333000111111111222222222222222222222222222222222222333333333333333333333333444444555555555444333333111111333333444333222222333333333444444444555555222222222222222333444444333333333222222222111111111111111111111111111111000000000000000000000111222111111000000000000000000000000000000/////////,,,,,,++++++***)))))))))******))))))***+++,,,,,,---,,,,,,++++++*********++++++*********************++++++,,,,,,++++++***%%%&&&((()))***+++******************))))))))))))+++************,,,---...******))))))))))))******++++++++++++++++++++++++&&&&&&''')))***,,,------******+++++++++,,,,,,,,,*********************************)))***++++++,,,'''(((***---...//////...(((((()))************)))++++++++++++++++++++++++++++++++++++++++++++++++))))))***++++++++++++***###&&&+++///111111///---///...---,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---///000000...---+++...000111000//////000111---------...///000000111////////////////////////////////////////////////000000000000000000000000////////////////////////000000000000000000000000////////////////////////------...///000000//////---..................---,,,---------......//////////////////////////////---------.........//////---------...///000000111,,,,,,---///000222333333000000000000////////////---...///000000///...---000000000000000000000000...............///000111///000111222222111000///000000//////.........---000000000000000000000000...//////000000000000000---......///000111111222000000000000000000000000---......///000111111222//////000000111111111222000000000000000000000000////////////000000000000000000000000000000000000111111000000000000111111333333333222111000//////111111000///////////////...//////000000000000000000000///......///000111000000////////////000111000000000000000000000000//////////////////////////////////////////////////////000111111111111111000000000000000000000000---...///111111111000///---.........//////000000---.........//////000000......////////////.....................---------////////////////////////////////////////////////111111111111111111111111444111...---///111222222000000111111111111000000///000000111222222333333111111111111111111111111111111222222222333333333000000111111222222222222222222222222222222222222333333333333333333333333444444444444333333222111///000111222333333222111333333333444444444555555111111000000111222333333333333333222222111111111111111111111111111111111000000000000000111111111222111111000000000000000......//////000000111111************************++++++++++++++++++++++++'''((()))***************((()))***++++++***)))(((************************************))))))))))))"""###$$$&&&''''''(((((())))))*********+++++++++((((((((((((((()))******---,,,+++,,,...///...---+++++++++*********))))))'''(((((()))))))))((((((++++++******)))(((''''''*********++++++,,,,,,,,,*********++++++,,,,,,,,,))))))***+++,,,,,,------******+++++++++,,,,,,,,,************+++,,,------***++++++,,,,,,++++++***)))***+++,,,,,,,,,+++***++++++,,,,,,,,,,,,------///***$$$$$$))),,,+++))),,,---......,,,,,,---...,,,,,,,,,------.........///......---------......111000///......---......---------............///......//////000000111111//////.........---------//////000000000000//////000000000000000///..............................000//////.........//////............................................................////////////111111000000//////......////////////////////////000000000000000000000000////////////////////////------......///000000000////////////////////////////////////////////////............////////////......------------................../////////000000111222222222000///...///////////////.........000000000000000000000000000///------......---+++000...+++(((&&&'''((()))222222111111000/////////000000000000000000000000111111111111111111111111000000111111111111000000000000000000000000000000000000000000000000000000222222222111000//////...000000000000000000000000////////////000000000000............///000222222000000000000000000000000111111000///////////////000000000000000000000000000000//////.........---///...---,,,,,,---...///------......//////000000---.........//////000000000000000000000000000000111000///...------...///---------............///000000//////.........---............////////////000000000000000000000000////////////000000000000111111222333333333333222111111111111111111111111222222111111111111222222222222222222222222222222222222333333333333444444555555555555555555555555444444444444444444444444333333333333333333333333666555333222111222222333222222222222222222222222000111222333333222111000111111111111111111111111222111111111000000//////333222000///...///111222000000000000000000000000************************************************((())))))************)))((()))***++++++***)))(((************************++++++*********)))))))))+++++++++++++++***))))))******************++++++((((((((((((((()))******+++***)))***,,,---,,,++++++++++++*********))))))***++++++++++++***)))(((******++++++++++++,,,,,,******+++++++++,,,,,,,,,++++++++++++++++++,,,,,,)))******+++,,,,,,------******+++++++++,,,,,,,,,,,,,,,++++++***+++++++++++++++++++++++++++++++++------...//////...---,,,++++++,,,,,,,,,,,,------///---+++,,,///000...,,,***+++,,,,,,******+++,,,,,,,,,------------------///......---------......///...............///000---------............///000000000/////////////////////.........---------//////000000000000/////////////////////...------..............................---------------.............................................................../////////////////////.........------////////////////////////........................///////////////////////////////////////.........////////////////////////////////////////////////............///////////////......------......///........./////////000000111111111111111000//////////////////////////////........................111///......000000///---555444111///...//////000000000000000000111111111000000000000000000000000111111111111111111111111000000111111111111000000000000000000000000000000000000000000000000000000000000000000000000000000////////////////////////222111111000///......---.........//////000111222000000000000000000000000111111000///////////////000000000000000000000000000000/////////.........//////...------...//////.........///////////////............/////////000////////////////////////111000///...---......///---------............///000/////////........................////////////000000000000000000000000////////////000000000000000111222222333333222222111111111111111111111111333222222222222222222333222222222222222222222222222222222333333333444444444444444444444444444444444444444444444444444444333333333333333333333333555444333222222222333444222222222222222222222222111111222222222222111111111111111111111111111111222222222222111111111000111000...---------//////000000000000000000000000************************)))))))))))))))))))))))))))************))))))((())))))***++++++***))))))************************+++++++++*********))))))******++++++******)))(((++++++******************)))(((((((((((()))******+++***)))***+++,,,+++***+++++++++***************,,,---------,,,+++******)))***+++,,,---...///000***++++++++++++,,,,,,,,,,,,,,,++++++++++++++++++*********++++++,,,,,,---******+++++++++,,,,,,,,,...---,,,+++************,,,,,,+++******+++,,,,,,....../////////---,,,+++++++++,,,,,,,,,,,,------***+++---......---+++******+++,,,,,,******+++,,,------------------,,,,,,......---------......///------------...///000111---------............///111111000000///......---...............---------...//////000000//////..................------,,,........................---------,,,,,,------...................................................---............/////////.........---------------////////////////////////........................////////////////////////111000000///......------////////////////////////////////////////////////............///////////////......------......///....../////////000000000111111000000//////000000////////////////////////........................000///...///111222111000222111111111000000000000...//////000111111222222000000000000000000000000000000000000000000000000000000111111111111000000000000000000000000000000000000000000000000000000------...///000000111111////////////////////////111111000000/////////.........//////000000111111000000000000000000000000111000000///////////////000000000000000000000000000000////////////......000//////......//////000///////////////.....................////////////////////////////////////000000///............///---------............///////////////........................////////////000000000000000000000000////////////000000000000000111222222333333222222111111111111111111111111333333333222222333333333222222222222222222222222222222222222333333333333444444444444444444444444444444444444444444444444333333333333333333333333333333222222222333444444222222222222222222222222222222111111111111222222111111111111111111111111333333333222222222222222111000...---------...///000000000000000000000000***************************************************************)))((('''******************************************************)))))))))(((((((((&&&'''((()))***++++++++++++++++++***************))))))(((((())))))***+++---,,,+++,,,---...---,,,************************++++++,,,,,,---,,,,,,+++)))***+++,,,---//////000++++++++++++++++++++++++,,,,,,,,,++++++******************++++++,,,,,,,,,******+++++++++,,,,,,,,,---,,,++++++*********+++---,,,***))))))***,,,---,,,,,,,,,,,,+++***((('''+++++++++,,,,,,,,,------(((***------,,,*********,,,---......,,,,,,---............------,,,,,,,,,...------------...//////---------------...///000---------............///000000/////////....................................//////////////////.........//////......---,,,...........................------------......///................................................---------.........//////......------------------////////////////////////000000000000000000000000////////////////////////000000//////............////////////////////////////////////////////////............//////////////////............//////...////////////000000000111000///......///000111///////////////000000000000000000000000000000000///......///111222222111------.../////////...---//////000000111111111111000000000000000000000000////////////////////////000000111111111111000000000000000000000000000000000000000000000000000000------......//////000000000000000000000000000000,,,---...///000111222333......///000000000000000000000000000000000000000000000////////////000000////////////////////////000000//////////////////000000////////////000000000000//////......------.........////////////////////////////////////////////////.........//////---------............//////////////////.....................////////////////////////////////////////////////000000000000000000111222222222222222111111111111111111111111333222222111111222222333111111111111111111111111111222222222222333333333333333333333333333333333444444444444444444444444333333333333333333333333222222222222333444444555222222222222222222222222333222111000000111222333111111111111111111111111222222222222222222222222222222111000///000000111////////////////////////************************++++++++++++++++++++++++***************)))((('''++++++************++++++************************))))))((((((((('''''''''((()))***,,,------------************************)))))))))))))))***++++++---,,,++++++------,,,+++************************((((((***+++,,,,,,,,,,,,***+++++++++,,,,,,,,,---++++++++++++++++++++++++,,,,,,,,,++++++************+++++++++++++++,,,,,,******+++++++++,,,,,,,,,+++*********++++++,,,------,,,***))))))***,,,---***+++++++++***)))'''&&&+++++++++,,,,,,,,,------,,,.........,,,,,,---///,,,---......,,,,,,---............------,,,,,,,,,---------------...////////////...------------------------............///---........./////////000---...........................////////////......///000000000000///..............................,,,+++++++++,,,,,,---...................................................------------....................................////////////////////////000000000000000000000000////////////////////////............//////000000////////////////////////////////////////////////............/////////////////////....../////////////////////000000000111111000///......///000111////////////000000111111111111111111111111111111...---,,,...000222111000...///111222333222111000111111111111000000//////000000000000000000000000////////////////////////000000111111111111000000000000000000000000000000000000000000000000000000......//////////////////111111111111111111111111,,,---...///000111222333...///000000111000000///////////////////////////000000////////////000000//////////////////////////////000000000000000000//////000000000000//////000000//////......------///////////////.......................................//////////////////---------............///.........///////////////............////////////////////////////////////////////////000000000000000000111222222222222111111111111111111111111111111111000000000000111111111111111111111111111111111111111222222222333333333333333333333333333333444444444444444444444444333333333333333333333333111222222333444444444444222222222222222222222222333222111000000111222333111111111111111111111111000000111111111111111111222111111000000000000000////////////////////////************************++++++++++++++++++++++++)))************))))))(((,,,+++************+++,,,************************))))))((((((((('''''''''***************))))))((())))))*********+++++++++***))))))))))))***+++++++++***))))))******)))(((***************+++++++++&&&'''(((***++++++++++++++++++++++++************,,,,,,,,,++++++++++++***,,,,,,++++++++++++++++++++++++++++++++++++++++++******+++++++++,,,,,,,,,************+++,,,---...,,,,,,+++******+++,,,,,,,,,,,,---------+++***)))++++++,,,,,,,,,,,,---------,,,+++++++++,,,,,,---***+++,,,,,,******+++,,,------------------,,,,,,---------------...///000000///...---,,,,,,,,,,,,---------............///,,,------...//////000000---------...............---......//////......---000000000000000//////...........................))))))))))))***+++,,,,,,................................................,,,------------......................../////////////////////////////////........................////////////////////////------......///000000111////////////////////////////////////////////////............////////////000//////......//////000/////////000000000111111//////......//////000000...//////000000111111222////////////////////////...------...000111111000///000222333333222111000222222111111000//////...000000000000000000000000000000000000000000000000000000111111111111000000000000000000000000000000000000000000000000000000////////////////////////222222222222222222222222111111000000/////////......///000111111000///...///////////////////////////////////////000000111000000000000000000000000//////000000000000111111...//////000000//////...///////////////.........///////////////.................................---...//////000/////////---------............///.........///////////////............////////////000000000000000000000000////////////000000000000///000111111222222111111111111111111111111111111000000////////////000000111111111111111111111111111111111111222222222222222222222222222222222222444444444444444444444444333333333333333333333333222222333444444444333333222222222222222222222222222222111111111111222222111111111111111111111111000000000000000111111111////////////............000000000000000000000000************************************************((())))))************))),,,++++++******++++++,,,************************************))))))))))))(((((((((((((((''''''&&&(((((()))***+++,,,,,,---******))))))******+++,,,+++***))))))******)))'''))))))*********+++++++++)))***************))))))+++++++++++++++*********,,,,,,,,,+++++++++******++++++++++++++++++,,,,,,++++++++++++++++++++++++******+++++++++,,,,,,,,,+++++++++***++++++,,,,,,++++++++++++++++++++++++,,,---...///......,,,,,,++++++,,,,,,,,,,,,------+++***)))+++------+++'''***+++,,,,,,******+++,,,,,,,,,---------------------,,,,,,------///000000......---,,,,,,------------------............///........................---------.........//////---......//////......---//////000000//////...---........................************+++,,,---...................................................,,,,,,---------.........,,,,,,---------.........////////////////////////........................////////////////////////.........///////////////////////////////////////////////////////////////............////////////000000////////////000000//////000000000111111111---......///000000//////...//////000111111222222////////////////////////000///...///111222111000///000000000000/////////111111111000000000000000000000000000000000000000111111111111111111111111000000111111111111000000000000000000000000000000000000000000000000000000...//////000000111111111111111111111111111111111222111111000///......---...///000111111000///...///////////////////////////////////////000111111000000000000000000000000//////000000000111111111---...////////////...---.........///////////////000/////////....................................,,,---///000000000//////---------............///............/////////000............////////////000000000000000000000000////////////000000000000///000000111111111111111111111111111111111111111111111000000000000111111111111111111111111111111111111111111222222222222222222222222222222222222444444444444444444444444333333333333333333333333222333444444444333222111222222222222222222222222111111222222222222111111111111111111111111111111000000000111111222222222///////////////......---000000000000000000000000************************))))))))))))))))))))))))'''((()))***************---,,,+++******+++,,,---************************,,,,,,,,,++++++++++++***((()))***+++,,,---------''''''(((***+++,,,---...*********)))******+++,,,...,,,++++++,,,,,,+++)))))))))******++++++++++++---,,,,,,+++***)))''''''*********++++++,,,,,,,,,,,,,,,,,,++++++******************++++++,,,,,,---++++++++++++++++++++++++******+++++++++,,,,,,,,,------,,,+++***************++++++,,,,,,++++++***+++,,,---.........---,,,++++++,,,,,,,,,---------...,,,---111555444...(((,,,---......,,,,,,---...,,,,,,,,,------.........,,,,,,,,,---...///000111,,,,,,,,,,,,---...//////---------.........///////////////...------,,,,,,---------.........//////---..................---......//////......---,,,........................---------...///000111222................................................,,,,,,,,,---------......+++++++++,,,,,,---------////////////////////////000000000000000000000000////////////////////////000000000///......------////////////////////////////////////////////////............/////////000000000////////////000000000000000000111111111111,,,---///000000000///......//////000111222222222111111111111111111111111222000000000222333222111222222222111111111000000/////////000111111222222000000000000000000000000111111111111111111111111000000111111111111000000000000000000000000000000000000000000000000000000------...000111333444444000000000000000000000000////////////000000000000...///111222111000...---///////////////////////////////////////000111111000000000000000000000000//////000000111111111222,,,---...//////...---,,,---.........//////000000000000//////.........---........................,,,---///000000000//////---------.........//////---.........//////000000............/////////000000000000000000000000000////////////000000000000//////000111111111111111111111111111111111111111222222111111111111222222000000000000000000000000000111111111111222222222111111111111111111111111444444444444444444444444333333333333333333333333333444444555444333111000222222222222222222222222000111222333333222111000111111111111111111111111111111111222222333333333111111111111111000000///000000000000000000000000++++++******************...,,,***(((((()))***+++******))))))))))))******'''''')))***,,,,,,,,,---------,,,+++************++++++++++++++++++++++++((()))***++++++***)))((())))))))))))))))))))))))(((((()))***++++++,,,,,,++++++************++++++)))***+++,,,,,,+++***)))))))))*********+++++++++---,,,,,,+++***)))((((((***++++++******)))((('''++++++++++++++++++++++++,,,,,,+++***))))))******++++++++++++++++++++++++++++++************++++++------,,,,,,+++,,,,,,,,,,,,,,,+++++++++,,,------...---+++******---///111---...///...,,,+++,,,---,,,---...//////...---,,,///222333111---+++,,,..................---------***+++---,,,++++++,,,...111000///......///000111000000//////......------///...,,,+++,,,---///111//////...---------------//////............//////////////////////////////...000111000///...///111............//////////////////000000///...------.........///////////////........./////////000000000///---,,,,,,---///000555333000------...111333////////////000000000000000000//////.........---............//////////////////.........---------++++++---...//////000000222111000//////......///............////////////////////////000000000000000000000000000000000000777444222222444444222000---......///000111111222000000000000000000000000222111111111000000//////000000///000000111222222111111000000000000111111000000000000000000000000////////////////////////111111000000//////......000000000000000000000000000000000000000000000000222111111000000000000000////////////////////////111111111111000000000000000///...------...///000000///.........000111222............//////////////////............//////111///...------...///111000000000000///...---,,,.........------------...------............------------............------...............------,,,222111///,,,***,,,///333////////////////////////111000///......///000111000000000000000000000000000000000000000000000000000000000000111111111111111111111111111000//////111111222222222333333333444333333222111111111222222222333333333333444444222333333444444333333222555555555444333222000000222222444444444444222222000000000000000000000000111111000000000000111111222222222222222222222222///000111111111///...---////////////////////////************************---,,,***)))))))))************))))))))))))***************+++++++++******,,,,,,+++*********++++++)))))))))))))))))))))))))))***++++++++++++***)))))))))))))))))))))))))))((())))))***++++++,,,,,,++++++************++++++)))***++++++++++++***)))******+++++++++,,,,,,,,,,,,,,,++++++++++++++++++++++++,,,,,,++++++******++++++++++++++++++++++++++++++***)))))))))))))))++++++++++++++++++++++++++++++************++++++,,,,,,++++++++++++,,,,,,...------,,,++++++++++++---,,,***)))***+++---...---...///...,,,+++,,,---,,,------......------,,,---......---+++***++++++---------...............+++---......---,,,.../////////...------...//////000000000/////////.........------,,,---...///000000///......---------...//////............//////........................---/////////...---...///............///////////////////////////...------////////////............+++++++++,,,,,,,,,------000...---,,,,,,---...000333222///...---...000111.../////////000000000000000/////////........................//////////////////.........---------------......///.........000///////////////000111............////////////............////////////000000000000000000000000111///......111222000............///000111111111000000000000000000000000111111111111000000000///000000/////////000111111111111000000000000111111000000000000000000000000000000000000000000000000////////////000000000000000000000000000000000000000000000000000000000000222111111000000000000000000000000000000000000000000000000////////////...000///...------...///000111000000000000111111222............//////////////////............//////000///...------...///000---...///////////////...000///...---------///000------............------------............------...////////////...------111111000...---...111333////////////////////////111000///......///000111000000000000000000000000000000000000000000000000//////000000111111111222111111111111111000//////000000111111111222222222444333333222111111111222222222333333333333444444222333333444444333333222333333444444444333222222111222222333333222222111111111111111111111111111111111000000000000111111222222222222222222222222000000000000000//////...000000000000000000000000************************+++++++++*********************))))))))))))******---,,,,,,+++***)))((((((++++++*********+++,,,,,,))))))))))))))))))))))))***++++++,,,,,,++++++***)))))))))))))))))))))))))))))))))***++++++,,,,,,++++++************++++++)))***++++++++++++***)))+++++++++,,,,,,,,,,,,,,,+++++++++,,,,,,,,,------))))))***++++++++++++***+++++++++++++++++++++++++++++++++***************++++++++++++++++++++++++++++++************++++++***************+++,,,---///...---,,,+++*********************)))))))))))),,,---...---,,,+++,,,---++++++,,,,,,,,,,,,++++++,,,+++***+++,,,,,,+++***,,,,,,------......//////,,,---///...------...000......---,,,,,,---....../////////...............------------............000//////............/////////............//////........................,,,---......---,,,---...---............/////////...////////////...------000/////////...---------------.........////////////...---,,,,,,---...///000000///............///....../////////000000000////////////........................////////////...............---------///////////////...---,,,............///000111222............////////////------------............////////////////////////---,,,,,,---///000000///......//////000000111111000000000000000000000000111111111111000000000000000000//////.../////////111111000000000000111111000000000000000000000000111111111111111111111111.........///000111111111000000000000000000000000000000000000000000000000222111111000000000000000111111111111111111111111////////////............//////............///000111111222222222111000000............//////////////////............//////000///...------...///000,,,,,,---//////000000000111000...------...000111------............------------............------///////////////......---///000000000//////111333////////////////////////000000////////////000000000000000000000000000000000000000000000000000000...//////000111222222222000111111111111000000/////////000000000111111111333333222222222222222222222222333333333333444444222333333444444333333222111222333333444444444444222111111000000111111222222222222222222222222222111111000000000000111111222222222222222222222222111111000/////////000000111111111111111111111111***************+++++++++******+++++++++******)))******))))))))))))******---,,,+++***))))))((((((******))))))***+++,,,,,,++++++++++++++++++++++++************************))))))))))))))))))))))))))))))*********+++++++++++++++************++++++*********++++++*********++++++++++++++++++++++++++++++++++++++++++++++++%%%&&&'''((())))))))))))++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,++++++************++++++++++++++++++************++++++))))))))))))***+++,,,---------------,,,++++++*********+++++++++)))((('''+++---...---++++++,,,---******++++++++++++******---+++)))+++...///...+++++++++,,,------...//////,,,---......------...///...------------------...------,,,,,,,,,,,,,,,,,,+++,,,---.........------000//////........./////////......------......///........................,,,...///...---,,,---...---------.........//////.........//////...------.........................../////////000000000000///...------------...///---...............------........./////////000000///////////////.....................////////////..............................////////////......///////////////000111111............////////////------........./////////////////////////////////////////////000111111111.../////////000000000111000000000000000000000000111111111000000000000000111000///......---......111111000000000000111111000000000000000000000000111111111111111111111111.../////////000000000111////////////////////////000000000000000000000000222111111000000000000000000000000000000000000000000000/////////........................//////000000111222222111000...---............//////////////////............//////000///............///000,,,---....../////////......//////000000000000000------............------------............------//////000000//////...---,,,...000000000000111222////////////////////////000000////////////000000000000000000000000000000000000000000000000000000......///000111222222333000000111111111111000///000000000000111111111222222222222333222222222111222222222333333333444444222333333444444333333222111222333333444444333333333222111000000111222333222222222222222222222222111111000000000000111111111111111111111111111111222111000/////////111111111111111111111111111111))))))*********+++++++++)))******+++++++++************))))))))))))******++++++***))))))******+++))))))))))))***++++++,,,************************))))))(((((((((((())))))))))))))))))))))))))))))***************+++++++++++++++************+++++++++******************+++************))))))))))))+++++++++***)))(((((((((%%%&&&''')))************++++++++++++++++++++++++)))***+++,,,,,,+++******)))))))))******+++++++++++++++************++++++))))))))))))***+++,,,---******,,,------------,,,***+++,,,---,,,+++)))(((+++,,,---,,,++++++,,,---************************,,,***(((***...///...+++***++++++,,,---...//////***,,,------,,,,,,---...........................------------------------+++,,,------......------//////............//////......------------..............................---...//////------...///------------............------............------+++,,,,,,---...///000000++++++,,,,,,,,,---------.........------.........,,,---...//////...------............////////////.........///////////////............////////////---.....................,,,---...///000000000000111111000///////////////............////////////....../////////000000000////////////////////////222222222111111000000000////////////000000000000000000000000000000000000000000000000000000111111111000///......---......111111000000000000111111000000000000000000000000111111111111111111111111111000000000/////////...////////////////////////000000000000000000000000222111111000000000000000////////////////////////111111111000000000//////---....../////////////////////000000000///---,,,............//////////////////............////////////............//////...............---,,,,,,+++---111333444222///---------............------------............------///////////////......---))),,,...//////...///000//////////////////////////////000000000000//////000000000000000000000000000000000000000000000000...//////000111111222222///000000111111111000000111111111222222222333333111222222333333333222111222222222333333333444444222333333444444333333222333333444444333333222111444333222111111222333444111111111111111111111111111111000000000000111111111111111111111111111111222111000//////000111222111111111111111111111111)))))))))***++++++,,,,,,***************+++++++++******))))))))))))************)))))))))***,,,---******)))))))))***++++++(((((((((((((((((((((((()))((((((''''''(((((()))))))))))))))))))))))))))************************++++++************++++++++++++***))))))***++++++)))))))))))))))(((((((((,,,+++***)))((('''&&&&&&))))))***,,,,,,---------++++++++++++++++++++++++&&&'''((()))***)))((('''(((((())))))***+++++++++++++++************++++++***************+++,,,---((()))+++---.........---+++,,,---------,,,+++******+++,,,,,,++++++,,,---+++***))))))))))))***+++***)))((()))+++,,,+++***++++++,,,,,,------......***+++---,,,++++++,,,.........////////////......///////////////000000000,,,,,,,,,,,,------------...------------...//////......------------......---------------------------///000///...---...///,,,------------.........,,,,,,---............---++++++,,,---...//////000------------....................................,,,---......///.........------........./////////.........///////////////............////////////---------...............,,,,,,...///000111111111222111000///........................////////////////////////000000000111////////////////////////111222222111///......///////////////000000000000000000000000000000000000000000000000111111111111000000//////.../////////111111000000000000111111000000000000000000000000111111111111111111111111111111111000///.........000000000000000000000000000000000000000000000000222111111000000000000000........................111111111111000000000000,,,---...///000000000///......//////......------............//////////////////............///////////////////////////////////////......,,,++++++))),,,000333444222///,,,------............------------............------...............------,,,***,,,......------.../////////////////////////////////000000000000//////000000000000000000000000000000000000000000000000000000000000111111111111///000000111111111111000111222222222222333333333000111222333444333222111222222333333333333444444222333333444444333333222444444444444333333222111444333333333333333333444000000000000000000000000111111000000000000111111111111111111111111111111111111000000000111222222111111111111111111111111((())))))***++++++,,,,,,******)))))))))***,,,---******))))))))))))******+++***)))((()))***,,,---+++******))))))))))))***((((((((((((((((((((((((***)))(((''''''((()))***))))))))))))))))))))))))************************++++++************++++++++++++***))))))***++++++************))))))((((((+++*********))))))((((((***+++,,,---------------++++++++++++++++++++++++&&&''')))++++++***)))(((((((((((()))***+++++++++++++++************++++++,,,,,,++++++++++++,,,,,,)))***,,,.........,,,,,,++++++,,,,,,,,,,,,,,,,,,)))+++,,,,,,++++++,,,---++++++***))))))***++++++)))+++++++++******+++,,,,,,,,,,,,,,,,,,,,,,,,,,,+++,,,------,,,,,,---///,,,---............---,,,------........./////////---,,,+++++++++,,,---...,,,,,,,,,,,,,,,---.........------,,,,,,------...------------------------,,,---......---,,,---...,,,,,,---------.........+++,,,------.........---------------------------////////////000000000111---..................---------........./////////---------.........//////............/////////000............////////////---------.........//////---...///000000000000000111000///////////////000............////////////........./////////000000000000000000000000000000///111222111///...///111000000000000////////////000000000000000000000000///000000000111111111111000000/////////000111111111111000000000000111111000000000000000000000000000000000000000000000000000000000000////////////000000000000000000000000000000000000000000000000222111111000000000000000////////////////////////111000000000000/////////,,,---...///000000000//////............//////000............//////////////////............//////......////////////......---------......---,,,,,,+++,,,...///000000///...------............------------............---------------------,,,,,,+++,,,...///...------...///////////////////////////...///000111111000///...000000000000000000000000000000000000000000000000111111111111000000000000//////000111111111111111111111111111222222222222///111222444444333222111222222333333333333444444222333333444444333333222222222333444444444333333222222333333333333222222111111111111111111111111111111000000000000111111111111111111111111111111///000111222222222222222000000000000000000000000((())))))***++++++,,,,,,+++***)))((((((***,,,...******))))))))))))******---+++***(((((()))+++,,,++++++***)))(((((())))))************************+++***)))(((((()))***+++))))))))))))))))))))))))++++++******************++++++************++++++,,,+++***))))))***+++,,,,,,+++++++++******))))))***************+++++++++******+++,,,,,,,,,++++++++++++++++++++++++++++++)))***,,,.........,,,+++'''(((((()))***+++++++++++++++************++++++------,,,,,,+++,,,,,,,,,***,,,---......---+++************++++++,,,,,,---)))***,,,,,,++++++,,,---,,,+++***))))))***+++,,,+++...000///,,,+++---///---,,,,,,,,,,,,,,,,,,,,,,,,---///...------...000++++++------------++++++*********++++++,,,,,,,,,---,,,+++******,,,...///++++++++++++,,,,,,---......------,,,,,,------...------------------------+++,,,------++++++,,,---,,,,,,,,,---------......+++,,,------.........---000//////...,,,+++******,,,,,,,,,------------...------............------...............///000111---------.........//////---.........//////000000............/////////000---------.........//////000000000000000//////...///......//////000111222............/////////000---------.........//////111111111111111111111111...111333222111000222555000000000000////////////000000000000000000000000//////000000111111111222000000///000000111222333111111000000000000111111000000000000000000000000////////////////////////......//////000000111111000000000000000000000000000000000000000000000000222111111000000000000000000000000000000000000000000/////////............+++,,,...000000000000///000///.........000111222............/////////000//////............//////......////////////......++++++,,,---............---,,,,,,,,,---...000111---..................------..................---,,,,,,------,,,,,,+++***///000000///------...000////////////////////////...///000111111000///...000000000000000000000000000000000000000000000000222222111111000///////////////000111111111111111000000000000111111111111///000222444444444222111222222333333333444444444222333333444444333333222000000222333444555555555000111222333333222111000222222222222222222222222111111000000000000111111000000000000000000000000///000111333333333222111////////////////////////++++++,,,,,,,,,---------(((((())))))*********+++***)))((('''((()))+++,,,))))))))))))))))))))))))************))))))))))))******))))))))))))******))))))(((((('''''''''&&&)))************+++++++++---+++))))))***+++***)))))))))))))))************++++++************************+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,*********++++++,,,,,,,,,,,,,,,++++++***)))((((((++++++******************************************************************,,,,,,,,,++++++*********.........------,,,,,,,,,+++++++++************)))******+++++++++,,,,,,,,,---------,,,,,,,,,++++++---,,,+++******+++,,,---*********++++++,,,,,,,,,,,,,,,,,,---...///000111...------,,,,,,,,,------------------------------,,,,,,,,,,,,,,,,,,,,,,,,........................++++++,,,,,,,,,++++++***+++++++++*********)))))),,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---...//////))),,,...///---***((('''...---+++*********++++++...---,,,+++++++++,,,---++++++,,,,,,---.........000000000000000000000000111111000000/////////...111111000000///---,,,+++////////////////////////........................,,,---......//////......000000000000000000000000000000111111111111000000000000//////.........---............/////////000222222222222000...+++***......////////////......000111222333333222111000---------...///111333444000000000000////////////000000//////.........---...///000111111000///...////////////000000000000000000000000000000000000...///000111111000///...000000000000000000000000000000//////.........---////////////////////////000000000000000000000000000000000000000000000000////////////000000000000////////////////////////000000000000000000000000......------------................../////////000.........////////////000........................---,,,++++++***)))((('''000///...---------------------------.........///000000000000000000000000......------------......000000000000////////////......////////////......000000000000111111111111111111111111000000000000000000000000111111111111222222333333333444444444333333333222222111111111333333333222222222111111222222111111111111111111222222111111111111222222555555555555555555555555000000000000000000000000222222111000/////////000000000000000000000000000...000000///...---...///++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++(((((()))***************************************************))))))))))))******))))))))))))************)))))))))((((((((()))************+++++++++((('''''''''(((((())))))))))))))))))************************************))))))*********+++++++++,,,,,,,,,,,,,,,,,,,,,,,,***++++++++++++++++++,,,,,,,,,++++++***))))))(((************************************************************************,,,,,,,,,+++++++++******,,,+++++++++************++++++++++++******************+++++++++,,,,,,,,,*********)))))))))((((((***)))(((''''''((()))***,,,,,,,,,---------............---,,,,,,,,,,,,,,,...------,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,........................,,,,,,---------,,,,,,+++------,,,,,,,,,+++++++++,,,,,,,,,,,,,,,,,,,,,,,,......---,,,+++++++++++++++---000000...+++***)))------+++*********++++++------,,,++++++,,,,,,---......------------------........................000000/////////.........000000000000///...---,,,------------------------........................,,,---......//////......////////////////////////000000111111111111000000000/////////...................../////////000000000000111111000///...---//////000000000000/////////000111111111111000///.........//////111222222000000000000////////////000000000/////////.........///000111111000///.../////////000000000111111//////////////////////////////000000000000//////000000000000000000000000000/////////............////////////////////////000000000000000000000000000000000000000000000000////////////000000000000////////////////////////////////////////////////......------------......---------------.........------........./////////......................../////////......---,,,,,,//////...---------------------.........//////////////////////////////////////////....../////////111111111111000000000000//////000000000000//////222222222111111000000000//////000000111111111222000000000000111111111111222222222222333333333333333333333222222222111111333333333222222222111111111111111111111111111111222222111111111111222222222222222222222222222222000000000000000000000000222111000000000000000000000000000000000000000000000111111111///...///000)))*********++++++++++++------,,,,,,++++++******&&&(((***+++,,,+++)))(((++++++++++++++++++++++++************))))))))))))***))))))(((((())))))***************)))))))))))))))************+++++++++)))***+++*********,,,...))))))))))))************************************(((((()))))))))*********,,,,,,,,,,,,,,,,,,,,,,,,+++++++++++++++*********,,,,,,++++++***)))))))))************************************************************************,,,,,,,,,++++++++++++******************))))))))),,,+++++++++******************+++++++++,,,,,,,,,,,,,,,,,,,,,++++++++++++,,,++++++******++++++,,,,,,,,,,,,,,,---------------,,,,,,+++++++++++++++------,,,,,,,,,,,,------++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,------------------------,,,------......---------............------------+++++++++,,,,,,---------//////...---,,,,,,,,,,,,---///111111///---,,,,,,---,,,,,,++++++++++++,,,------,,,,,,,,,,,,------000//////...------,,,,,,------------------------///............---------......////////////......------------------------........................------...////////////...///////////////////////////000000111111000000///////////////................../////////000000000---...///000111111111111000000111111111111000000...//////000000//////...////////////000000000111////////////000000000000111000000000000000////////////000000000000//////000000000111111111222222........................000000////////////000000000000000000000000000000////////////............////////////////////////000000000000000000000000000000000000000000000000////////////000000000000////////////////////////////////////////////////......------------......---------,,,,,,,,,,,,,,,,,,---------....................................000000000000000000000000//////...------------........./////////000000000////////////////////////000000////////////000000222222222111111111000000000000111111111111000000444333222222111000///.........///000111222333333000000000000111111111111222222222222222111111111333333333222222222222111333333333222222222111111111111111111111111111111222222111111111111222222111111111111111111111111000000000000000000000000000000000000000000111222000000000000000000000000000222222111000///000111))))))))))))************))))))(((((((((((((((((('''((()))***+++******)))++++++++++++++++++++++++************)))))))))((())))))(((((((((((())))))))))))))))))))))))))))))))))))*********++++++++++++,,,---,,,+++***,,,///((()))))))))***************************+++++++++))))))))))))*********+++++++++++++++++++++++++++,,,,,,++++++******))))))+++++++++*********))))))***************+++++++++************************************************++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,+++++++++***************+++++++++,,,,,,,,,...------------,,,,,,,,,------,,,,,,,,,,,,------*********************+++************+++---...///,,,,,,,,,+++,,,,,,------++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,------------------------+++,,,,,,---------------............------------******+++,,,,,,---......------------...///000111---///111111///---------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------.../////////......---------------------------------------------------------------...//////000//////////////////////////////........................------.../////////////////////////////////////////////000000000000/////////////////////............////////////000000000---......///000111111111///000000111111000000//////////////////////////////000000000000000//////////////////000000000000111111111111000000000000//////000000000000//////000111111111222222222222////////////////////////111000///......///000111000000000000000000000000///////////////.........////////////////////////////////////////////////////////////////////////////////////000000000000////////////////////////////////////////////////......------------......------------,,,,,,,,,,,,,,,,,,,,,---------..............................------.........////////////......---------......////////////000000000000////////////////////////000//////////////////000111111111000000000000//////000000111111000000///111111111000000/////////...//////000111111222222///000000000111111111111222222222111111111111000222222222222222222222222333333333222222222111111111111111111111222222222222222111111111111222222222222222222222222222222000000000000000000000000000/////////000111222222////////////////////////000111222111///...///000(((((()))))))))*********$$$%%%%%%&&&'''((())))))***)))((((((((()))+++,,,************************************)))))))))((())))))(((((((((((())))))(((((((((((((((((((((((())))))*********+++++++++*********)))''''''((()))((()))))))))************))))))*********+++++++++*********+++++++++,,,,,,+++++++++++++++++++++++++++++++++******)))))))))+++++++++***************))))))*********+++++++++************************************************++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,++++++++++++*********+++++++++,,,,,,,,,************)))))))))))))))******************)))******************************++++++,,,...///000+++++++++++++++,,,---...------------------------,,,,,,,,,,,,,,,,,,,,,,,,------------------------******+++,,,,,,,,,,,,,,,------------,,,,,,,,,,,,******+++,,,,,,---......,,,,,,,,,,,,---...///000,,,...//////---,,,,,,---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------............------------......//////........................,,,,,,,,,---------------,,,---...///000000000000////////////////////////........................---...//////000000//////........................//////000000000000//////.........///////////////////////////000000000111///////////////000000000...//////000000//////...000000000000000000000000///000000111000///........./////////000000000111000000000000111111111111000000////////////000000000111111111222222222222000000000000000000000000111000///......///000111////////////////////////.........///////////////////////////////////////////////////////////////////////////////////////////////////000000000000////////////////////////..............................------------.........---------------------,,,,,,,,,---------..............................,,,,,,,,,---......//////......---------......///////////////000000000000........................///......------......///000////////////............//////000000//////...---......//////000000000111111000000000000000000///000000000111111111111111111111111111111111111222222222222222222222222333333333222222222111111000000111111111222222222222222111111111111222222222222222222222222222222000000000000000000000000000/////////000111222222///////////////////////////000111000...---...///((()))))))))************%%%%%%&&&((()))***+++,,,+++***((('''''')))+++---))))))))))))))))))))))))************)))))))))))))))((((((''''''(((((()))''''''''''''(((((((((((()))************+++++++++,,,***(((((()))***)))'''))))))))))))************)))))))))***++++++,,,,,,***++++++++++++,,,,,,,,,++++++++++++++++++++++++***************)))))))))************************)))))))))***++++++,,,,,,***************************************************++++++++++++,,,,,,,,,)))))))))***************,,,,,,,,,,,,++++++++++++******+++++++++,,,,,,,,,,,,++++++++++++************+++,,,,,,,,,,,,+++***,,,,,,,,,,,,,,,+++++++++......---,,,,,,,,,,,,,,,+++******++++++,,,---...------------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,))))))***+++,,,,,,,,,,,,,,,,,,,,,,,,+++++++++***+++++++++,,,,,,---------------,,,+++************+++,,,......,,,+++,,,---+++,,,,,,------------,,,+++,,,---......///......++++++,,,,,,---......///........................,,,,,,,,,------------...------...///000000//////------------------------..............................///000000000000///...........................//////000000//////............////////////////////////000000000111111111000000////////////000......////////////......111000000//////000000111...///000111111000///.........//////000000111111//////000000000000000111000000////////////000000000000000111111111222222111111111111111111111111000000////////////000000////////////////////////.........///////////////////////////////////////000000000000000000000000000000000000000000000000////////////000000000000////////////////////////..............................------------......,,,---------............,,,---------....................................---.........//////000000...------------...//////....../////////000000000..............................------------......//////.........---------......////////////......,,,------...///000111222111111111111000000//////000000000000111111111111111111111222222222333333111222222222222333333333333333333222222222111111000000000111222222333333222222111111111111222222000000000000000000000000000000000000000000000000000000000000000000111222000000000000000000000000...///000///...------///)))))))))*********++++++(((((())))))***+++,,,,,,)))))))))))))))******+++************************************))))))))))))((((((''''''''''''((((((''''''(((((()))))))))))))))************+++++++++,,,(((%%%''',,,///---)))))))))))))))************((())))))***++++++,,,,,,************++++++++++++************************))))))))))))************************************((())))))***++++++,,,,,,******************************************************+++++++++,,,,,,,,,************+++++++++,,,------,,,,,,,,,+++++++++******+++++++++,,,,,,,,,.........---------,,,,,,------...//////...------,,,,,,,,,,,,+++++++++***---,,,,,,+++++++++++++++************+++,,,---...,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,)))***+++,,,------------,,,,,,,,,,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,...---,,,++++++******++++++,,,------,,,+++,,,---++++++---.........------+++,,,---.../////////...++++++,,,,,,,,,,,,,,,,,,------------------------,,,---------..................///////////////...------------------------..............................///000000000000000..............................////////////................../////////000//////000000000111111111111000///......///000111//////000000000000//////000///............///000---...000111111000///............///000111111111....../////////000000000111000///......///000111/////////000000000111111000000000000000000000000//////000000000000//////////////////////////////............/////////000////////////////////////000000000000000000000000000000000000000000000000////////////000000000000////////////////////////..............................------------......******+++,,,---......///------........./////////..............................//////////////////---------------...//////------........./////////........................//////............//////////////////............//////000000000000////////////000000111111222222000000000000000111111111000000000000111111111111000000111222333444555555111111222222222333333333333333333222222222111111///000000111222222333333222222111111111111222222111111111111111111111111000000000000000000000000222111000000000000000000000000000000000000000000///000111000.........///************++++++++++++)))))))))))))))*********'''(((***+++,,,+++)))(((++++++++++++++++++++++++************))))))))))))((((((''''''''''''(((((((((((())))))*********+++)))************+++++++++'''!!!!!!***///,,,'''))))))))))))************((())))))***++++++,,,,,,))))))))))))************************************(((((())))))******++++++******************++++++((())))))***++++++,,,,,,*********************************************************++++++,,,,,,,,,,,,,,,,,,------.........---------,,,,,,,,,++++++******+++++++++,,,,,,,,,+++++++++*********))))))******+++,,,,,,+++******************))))))(((((((((((())))))***+++---...************+++,,,---...++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,***+++,,,---............------,,,,,,,,,+++++++++---,,,,,,,,,,,,,,,,,,,,,...............000111111,,,---...---,,,,,,---...***+++---...///...------***+++---///000000///...---,,,,,,++++++******))),,,,,,,,,,,,,,,,,,,,,,,,---------....../////////...///////////////......////////////////////////...........................//////000000000000000..............................////////////......---.........//////000000000000000000111111111111//////.........000111222000000111111111111000000///...---,,,,,,---...///,,,...000111222111000///---......///000111111222---.........//////000000111000///......///000111////////////000000000000////////////////////////...///000111111000///...////////////////////////---.........//////000000////////////////////////000000000000000000000000000000000000000000000000////////////000000000000////////////////////////.................................------.........(((((()))***,,,---...///.........////////////000.......................................------------------------...///000------------.........///........................000000////////////000000000000000000////////////000000111111111111000000333333333222222222222222......///000111222333333000000000000111111111111000000111222444555666777111111111222222333333333333333333222222222111111///000000111222222333333222222111111111111222222333333333333333333333333000000000000000000000000222222111000//////000000000000000000000000000000000111222111000//////111...,,,)))&&&&&&''')))++++++,,,,,,,,,+++(((%%%###((()))***++++++***)))((()))))))))))))))))))))))))))******+++++++++************))))))))))))******'''((()))((('''&&&'''))))))(((((('''''''''(((((())))))*********+++++++++,,,+++*********+++---...,,,,,,,,,++++++*********+++++++++*********))))))*********))))))))))))))))))************+++++++++))))))(((((((((((())))))+++++++++*********)))))))))***+++,,,,,,+++***)))************************---,,,***))))))***,,,---+++,,,,,,***(((&&&''''''((()))***+++,,,---------,,,,,,,,,++++++*********++++++,,,,,,,,,,,,------************************,,,++++++******++++++,,,)))))))))***+++++++++,,,***++++++++++++,,,,,,,,,---,,,,,,,,,,,,---......+++++++++++++++++++++++++++,,,------,,,+++)))(((,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,,,,------+++++++++,,,,,,---------,,,,,,,,,,,,,,,,,,,,,,,,++++++******+++---...///---,,,+++******,,,...///++++++++++++,,,---......,,,------......------,,,------------------------,,,------......------,,,.../////////...---,,,,,,............/////////000444333111///---------.........////////////..............................////////////////////////////////////////////////111111000///////////////111000///......///000111222000///------///000222000000111000000///...---111111000000//////......000000000000000000000000000000000000000000000000000000000000000000000000222111111111000000//////111111000000000000111111////////////////////////---------.........//////////////////////////////////////////////////////////////////////////////000000//////.........---........................111111000000//////......//////000000///...------......//////......---,,,)))+++...000111000///---......------------..............................111000///.......................................//////.........---------............////////////111111000000/////////...000000000000000111111222111000/////////000222333444111...///111222000...222111111111000000//////000000000000000000000000//////000111222222333333222333444333111000111222555444333333222222222222222222111111111111222222222222222222222111000///222222222222222222222222......//////000000111111111111000000000000111111000000111222222000///...000000000000000000000000...---,,,***)))'''&&&&&&((()))***++++++***)))((())))))************))))))))))))))))))))))))))))))******+++++++++******)))******))))))))))))******((()))***)))((('''(((***((((((((((((((()))***+++))))))*********+++++++++)))((('''''''''(((******,,,,,,,,,++++++*********+++++++++*********))))))************************)))************++++++++++++******))))))******++++++++++++*********)))))))))******++++++******)))************************---,,,***))))))***,,,---+++,,,---,,,+++***+++,,,)))***+++,,,,,,,,,,,,,,,,,,,,,,,,+++++++++***************+++++++++,,,,,,************************...------,,,,,,------...************++++++++++++'''((())))))***)))))))))---,,,,,,,,,,,,---......,,,,,,,,,,,,,,,,,,++++++***+++,,,------,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,,,,---------------.........//////,,,,,,,,,,,,,,,,,,,,,,,,++++++******+++---...///---,,,+++******,,,---//////......---------......,,,------......------,,,------------------------,,,------......------,,,------------------,,,+++------------............000000///....../////////......////////////......////////////////////////////////////////////////////////////////////////111000000///////////////111000///......///000111111000///......///000111000000000000000//////...111000000000/////////...000000000000000000000000000000000000000000000000000000000000000000000000111111111111000000000///111111000000000000111111---------------------------------.........//////////////////////////////////////////////////////////////////////////////000/////////....................................///////////////000000000///////////////...------......//////......---,,,'''(((+++---...---,,,+++......------------..............................000//////............///........................//////.........---------............////////////000000000/////////......000000//////000000111222111000/////////000222222555333111111222333222000111111111111000000000///000000000000000000000000///000000111222222333333222333444333111000111222555444333222222222222222222222111111111111222222222222222222222111000000222222222222222222222222000111111111111111222222111111000000000000111111111111111111111000//////000000000000000000000000***+++,,,---,,,)))&&&$$$(((((())))))******++++++******))))))))))))******))))))))))))))))))))))))+++++++++++++++***)))(((******))))))))))))******)))***+++***)))((()))++++++******))))))******+++***************++++++++++++************+++,,,,,,+++++++++++++++*********+++++++++***************))))))******++++++,,,,,,)))************+++++++++,,,,,,++++++++++++,,,,,,+++++++++*********************))))))))))))******************************,,,,,,*********+++,,,---)))+++,,,,,,++++++,,,...++++++,,,,,,,,,,,,++++++,,,,,,,,,++++++++++++***))))))*********+++++++++++++++++++++++++++++++++...------,,,,,,------...+++++++++++++++************+++,,,---------,,,+++---,,,,,,,,,,,,---......,,,,,,,,,,,,,,,,,,------******,,,---............,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,,,,------------------............,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++,,,---......---,,,+++***+++,,,---...000000///...------------,,,------......------,,,------------------------,,,------......------,,,++++++,,,,,,---,,,,,,,,,---------------,,,,,,,,,+++,,,---...///000000000......////////////......000000000000000000000000////////////////////////////////////////////////000000//////......//////000000////////////000000000000////////////000000/////////000000000000000000000000000////////////000000000000000000000000000000000000000000000000000000000000000000000000111111111111000000000000111000000//////000000111------------------------------........./////////////////////////////////////////////////////////000000000000000000000000////////////....................................---......///000000111111///////////////......---......//////......---,,,***+++...///000///...---......------------.......................................---......//////.......................................---------............////////////////////////............000000//////000000111222000000000///000111111222444333111111222222222111111111111111000000000000000000000000000000000000000000000111222222333333111333333333111000111222444333333222222222222333222222111111111111222222111222222222222111000000222222222222222222222222333333333333333222222222111111000000000000111111222111111000000000000000000000000000000000000000%%%'''***,,,---,,,+++)))++++++***)))(((((())))))+++***)))(((((()))***+++))))))))))))))))))))))))+++++++++++++++***)))(((******))))))))))))******((()))******(((((()))***---,,,+++***)))(((((((((************************++++++++++++,,,,,,------+++++++++***************************************))))))***+++,,,,,,------))))))*********+++++++++,,,,,,,,,++++++,,,,,,,,,************************+++***((((((((((((***+++************************++++++*********+++,,,---((()))+++***))))))***,,,,,,,,,------,,,++++++***++++++++++++++++++++++++************++++++++++++++++++++++++++++++++++++,,,++++++******++++++,,,,,,,,,,,,++++++*********+++,,,...///000///...------,,,,,,,,,,,,---......,,,,,,------------......,,,,,,,,,------.........++++++,,,,,,,,,,,,------+++++++++,,,,,,,,,------++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++,,,---------,,,,,,+++++++++,,,---......---,,,+++++++++++++++,,,------......------,,,------------------------,,,------......------,,,***+++,,,---------------.........------------,,,)))***---///000000000///......////////////......////////////////////////////////////////////////////////////////////////000//////.........//////000000////////////000000//////000000000000/////////////////////000111111000000000000////////////////////////////////////////////////////////////000000000000000000000000111111111000000000000000000000////////////000000////////////////////////............////////////////////////////////////////////////////////////000000000000000000000000///////////////........................................../////////000000...///////////////...............///......---,,,---...///111111000//////......------------..............................------------......///000............................................................//////////////////..................///////////////000111111000000000000000111111222111000//////////////////111111111000000000000000000000000000000000000000000000111111111222222222111222333222111000111222333333222222222222222333333222222111111222222333111111222222222111111000111111111111111111111111444444444333333222222111111111000000000000111111333222000/////////000111////////////////////////(((((()))***+++,,,,,,---++++++***)))(((((())))))+++***)))(((((()))***+++))))))))))))))))))))))))+++++++++++++++***)))(((******))))))))))))******'''((())))))''''''((()))))))))((((((((()))******************************'''(((((()))))))))))))))************************************************))))))***+++,,,,,,------))))))*********+++++++++++++++************++++++************************+++***)))(((((()))***+++*********************************++++++,,,,,,---***+++,,,+++)))))))))***------------,,,,,,+++***+++++++++++++++++++++++++++++++++,,,,,,,,,,,,---++++++++++++++++++++++++,,,++++++******++++++,,,---,,,,,,,,,++++++******((()))***,,,,,,++++++***---,,,,,,,,,,,,---......,,,,,,,,,------...............------,,,,,,,,,,,,+++++++++,,,,,,---------+++++++++,,,,,,,,,------++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,,,,,,,,,,++++++++++++,,,,,,------+++++++++++++++,,,---...,,,------......------,,,------------------------,,,------......------,,,+++,,,---......///......//////..................+++,,,---/////////............////////////..............................//////////////////////////////////////////////////////............////////////000000000000////////////000000000000////////////......///000111222////////////000000000000////////////////////////////////////////////////////////////////////////000000000000000000111111000000////////////000000000000000000000000000000........./////////000000////////////////////////////////////////////////000000000000000000000000.........///////////////........................000/////////.........---......///////////////............///......---,,,++++++,,,---------,,,,,,......------------..............................---------------...///000........................---.................................////////////......///////////////////////////...///000000111///000000000111111111111000000000///......//////000000000000000000111111000000000000000000000000111111111111111222222222000111222222000000111222222222222111111222222333333333222222222222333333000111111222222222111111111111111111111111111111333333222222111111000000111111000000000000111111333222000/////////000111////////////////////////...---+++)))))))))***+++(((((())))))******++++++******))))))))))))******)))))))))))))))))))))))))))******+++++++++************))))))))))))******&&&((()))((('''&&&'''((($$$%%%&&&'''))),,,...///+++++++++***************((()))******++++++******)))))))))******************************+++++++++))))))******++++++,,,,,,)))************+++++++++******))))))))))))*********************+++++++++++++++************++++++************************)))******+++,,,,,,,,,------...///...,,,++++++,,,---------------,,,++++++***++++++++++++,,,,,,,,,++++++,,,,,,,,,---------,,,,,,,,,,,,,,,,,,,,,,,,...------,,,,,,------...,,,,,,,,,,,,,,,+++++++++******+++++++++,,,,,,,,,---,,,,,,,,,,,,---......++++++,,,,,,------......///...---,,,++++++++++++***++++++,,,,,,------...++++++,,,,,,,,,,,,------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,------,,,,,,+++++++++,,,,,,,,,---------------------...///000000,,,------......------,,,------------------------,,,------......------,,,------......//////.............../////////000000---....../////////............////////////..............................////////////////////////////////////////////////......------......////////////000000000000//////000000////////////000000000000///......///111111////////////000000000000000000000000000000000000000000000000000000000000////////////////////////000000000000111111111111000//////......//////000............................../////////000000000////////////////////////////////////////////////000000000000000000000000.........///////////////........................000000//////...------,,,---...//////////////////......//////......---,,,------........................------------..............................---------,,,------..............................---------...........................////////////////////////000000000000//////......//////000111//////000111111111111000111222222111//////000222000000000000111111111111000000000000000000000000111111111111111111111111///000222111000000111222222111111111111222222333333333222222222222333333000000111222222222222111111111111111111111111111111111111111111000000000111111000000000000111111222111111000000000000000000000000000000000000000...---,,,***))))))******((()))***++++++***)))((())))))************))))))))))))))))))))))))))))))((()))***+++++++++++++++******))))))))))))******''')))***)))((('''((()))'''''''''(((***,,,...///+++++++++*********))))))***+++,,,---...---,,,,,,((()))))))))*********+++))))))*********+++++++++************************)))************+++++++++******))))))))))))******))))))*********+++++++++++++++,,,,,,,,,,,,++++++************************))))))***+++,,,,,,------+++---...---,,,,,,---///------------------,,,,,,******+++++++++,,,,,,,,,***+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,...------,,,,,,------...++++++,,,,,,,,,,,,,,,,,,...---+++++++++,,,...///---,,,,,,,,,,,,---......******++++++,,,------------,,,++++++***+++,,,,,,******+++,,,,,,---......++++++,,,,,,,,,,,,---------------,,,,,,,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,+++,,,---------,,,++++++++++++,,,,,,---------,,,......---------......///,,,------......------,,,------------------------,,,------......------,,,------.........---,,,,,,+++,,,------...///000000///.........//////000111......////////////..............................////////////////////////////////////////////////...------------...///000...///000111111000///...111000///......///000111222111///.........000111.../////////000000000111000000000000000000000000000000000000000000000000///////////////////////////000000000111111111111//////............//////.........................../////////000000000000////////////////////////////////////////////////////////////////////////............/////////000................................................------...///////////////......//////......---,,,000000111111111000000000......------------....................................---,,,,,,,,,------........................---------.........//////............////////////000000000000111111222222///............///000000...///000111222111111000111222333111///...000222///000000000111111111111000000000000000000000000111111111111111111111111...000111111000000111333111111111111111222333333444333333222222333333444000000111222222222222222111111111111111111111111000000000111111111111111111111000000000000111111111111111111111000//////000000000000000000000000******++++++,,,,,,,,,++++++,,,---,,,+++(((%%%###((()))***++++++***)))((())))))))))))))))))))))))'''((()))***+++,,,,,,,,,******))))))))))))******(((***+++***)))((()))***------,,,+++*********+++++++++++++++******))))))'''((()))***+++***))))))(((((())))))*********+++))))))******++++++++++++*********))))))))))))))))))************++++++++++++******************+++))))))******+++++++++++++++,,,---......---,,,+++************************((()))***+++,,,---------''')))++++++++++++---///,,,,,,---......------,,,*********++++++,,,,,,,,,)))************+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++******++++++,,,+++++++++,,,,,,---------+++***'''&&&&&&(((+++------,,,,,,,,,,,,---......))))))***++++++,,,------+++******)))***+++---...******+++,,,,,,---......++++++,,,,,,,,,---------+++++++++******))))))))),,,,,,,,,,,,,,,,,,,,,,,,+++,,,---------,,,+++******+++,,,---------,,,,,,......---,,,++++++++++++,,,------......------,,,------------------------,,,------......------,,,------------,,,,,,+++***)))***+++,,,...///000000///.........///000222333......////////////......000000000000000000000000////////////////////////////////////////////////---------------...///000...///000111111000///...222000///------///000222333222///...---...///000.../////////000000111111000000000000000000000000000000000000000000000000//////////////////////////////000000111111111222//////............//////111111111111111111111111////////////000000000000////////////////////////////////////////////////////////////////////////---.........//////000000........................,,,,,,------.../////////------...///000000//////......//////......---,,,............------------.........------.................................///...------,,,,,,,,,,,,........................---------.........//////............/////////000000000111111222222222333...............///000000...///000222222111111000...000111///,,,,,,...000//////000000111111111222000000000000000000000000222222111111111111111111...000111111000000111333111111000000111222333333444333333222222333333444///000111222222222222222000000000000000000000000000000000111111222222333111111000000000000111111000111222222222111///...000000000000000000000000++++++************+++++++++***)))(((((()))***+++++++++******)))((('''''')))***+++,,,---,,,+++++++++++++++,,,,,,+++++++++))))))))))))))))))))))))(((((((((((())))))))))))+++++++++*********))))))&&&'''((())),,,...000111+++++++++*********))))))+++***)))((((((((()))***,,,+++******))))))******...---+++******+++---...*********))))))))))))))),,,,,,,,,+++++++++******++++++,,,,,,,,,---------*********+++,,,---...///,,,,,,+++******+++,,,,,,(((((()))***+++---...//////...---,,,,,,,,,,,,,,,++++++,,,,,,,,,---------......---,,,,,,+++******++++++++++++++++++++++++,,,+++***,,,...//////...++++++,,,---------,,,,,,,,,---...///...---,,,+++........................---------.........//////,,,,,,,,,+++***)))((('''///...------++++++***)))+++++++++,,,,,,---------++++++,,,,,,,,,,,,------,,,------......------,,,---------,,,,,,+++++++++,,,,,,++++++,,,,,,---...+++,,,---......---,,,+++...---,,,,,,,,,,,,---...,,,---///000///---+++)))...---,,,++++++,,,---...---,,,+++,,,...///...---............////////////////////////////////////////////////000000000000///---+++******,,,///000000000000000000000000000000000//////.........---////////////////////////............////////////111111111111111111111111000000000000111111111111333111000000111333222111......//////000000000111111111000000000000111111++++++,,,,,,---...............///000000000000000//////000000000000//////222111111111000000////////////000000///...------,,,------...///000000111000000//////.........---,,,---///000000000///...000000000000000000000000......------------......000000///...............------............------///......///000000///---+++,,,------......------------............------........................////////////////////////.../////////...---,,,,,,///////////////.........---------...------,,,+++000000000000000000000000111111000//////////////////////////////000111111000000000000000///......000000////////////000000000000000000000000000000000000000000111111111111000000000000000000000000......///000000000000000///000111111111///...---111111111111111111111111111222222333333222222111111222222333333222222111////////////////////////222111111111000000//////000000////////////000000//////000000000000//////++++++************+++++++++***)))(((((()))***+++------,,,++++++***)))))))))***+++,,,---,,,,,,+++******++++++++++++******************************************+++++++++++++++++++++*********))))))---,,,+++***************+++++++++*********))))))---,,,***)))(((((())))))*********+++,,,---//////---,,,++++++++++++,,,---************)))))))))))),,,,,,,,,+++++++++******++++++++++++,,,,,,,,,,,,++++++++++++,,,,,,---...,,,,,,+++******+++,,,,,,+++++++++,,,---...///000......---,,,,,,,,,,,,,,,++++++,,,,,,,,,---------.........------,,,,,,,,,+++++++++++++++++++++++++++******+++---...---,,,------------,,,++++++***,,,,,,------------,,,,,,------------------------+++++++++,,,,,,,,,,,,---,,,,,,,,,,,,+++***)))(((...------,,,,,,++++++***+++,,,,,,,,,,,,,,,,,,---++++++,,,,,,,,,,,,------+++,,,,,,,,,,,,,,,,,,+++---------,,,,,,+++++++++,,,++++++++++++,,,------///...------------...///...---,,,,,,,,,,,,---............------,,,,,,,,,---------,,,,,,------------,,,+++,,,---......,,,............////////////.........................../////////000000000000///...---,,,---...000111////////////////////////000/////////............////////////////////////............////////////........................//////000000000111111111555333111111111222111000/////////000000111111111111111000000000000111111///////////////...............///000000000000000//////000000000000//////111111111111000000000/////////000000///......---------------...//////000000/////////............------///000000000//////000000000000000000000000///......------....../////////...---------------------............------........./////////...---+++,,,------......------------............------......................................................//////......---,,,....../////////////////////////////////...------////////////////////////111111000//////////////////////////////000111111000000000000000///......000000////////////000000000000000000000000000000000000000000111111111111000000000000000000000000//////000111111111111111///000000000//////...---111111111111111111111111111222222222222222222111111222222333333222222111000000000000000000000000111111111111000000000///000000////////////000000///000000111111000000///++++++************+++++++++***))))))))))))***+++,,,,,,,,,++++++******)))***+++,,,---------,,,,,,)))******************)))************************************+++++++++++++++++++++***************))))))))))))***+++,,,,,,+++++++++***************...---,,,***))))))))))))*********+++,,,---//////,,,,,,,,,,,,,,,,,,,,,,,,************************,,,,,,,,,+++++++++***************++++++++++++,,,,,,,,,++++++++++++,,,,,,,,,++++++******++++++,,,,,,,,,,,,,,,,,,---.........------,,,,,,,,,,,,,,,,,,,,,,,,,,,------------............------------++++++++++++++++++++++++,,,*********,,,,,,+++***.........---,,,+++***))),,,,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++,,,,,,,,,,,,------------,,,+++******,,,,,,,,,,,,,,,,,,,,,,,,---,,,,,,,,,,,,,,,,,,+++++++++,,,,,,,,,,,,------***++++++,,,,,,++++++***------,,,,,,,,,,,,+++++++++++++++++++++,,,------000///,,,******,,,///000------,,,,,,,,,,,,------///...,,,++++++,,,---...,,,------......------,,,,,,+++***+++---...---,,,---............/////////............................../////////000000000//////000000000111111111////////////////////////////////////............////////////////////////............////////////000000000000000000000000//////000000000000111111666444111111111111000...000000000111111111111111000000000000000000000000222222222111000/////////...//////000000000000000//////000000000000//////111111111111000000000000//////000000000///......///...---------...///000////////////..................///000000000//////000000000000000000000000///......------......///......------,,,,,,------------............------------............------,,,,,,---............---------............------........................------------------------....../////////...------.........//////000000000...------------,,,,,,,,,////////////////////////111000000//////////////////////////////000000111000000000000000//////...000000////////////000000000000000000000000000000000000000000111111111111000000000000000000000000000111111222222222222111111000//////////////////111111111111111111111111222222222222222222222222111111222222222222111111111111111111111111111111111111111111000000000000000000////////////000000///000000111111000000///++++++************++++++***************************)))))))))((((((((('''++++++,,,,,,------------))))))************))))))++++++++++++++++++++++++'''((((((((())))))))))))************************'''''''''((()))+++,,,---************************,,,,,,++++++++++++++++++,,,+++******))))))*********+++,,,,,,,,,,,,+++***)))***************++++++,,,,,,,,,+++++++++******))))))*********+++++++++------,,,+++******++++++++++++++++++++++++++++++++++++***************+++------,,,,,,+++,,,,,,---,,,,,,,,,------------...,,,,,,,,,---------------++++++++++++++++++++++++---,,,***+++,,,,,,+++***------------,,,,,,+++***,,,+++***)))***+++,,,---++++++++++++++++++++++++,,,,,,---------.........------......---,,,,,,++++++++++++,,,,,,------------------,,,,,,++++++++++++++++++,,,,,,,,,------++++++,,,,,,,,,,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,+++++++++***+++,,,,,,---...---+++******+++---...,,,,,,,,,,,,,,,,,,,,,,,,------,,,,,,,,,------...+++,,,---......---,,,+++,,,+++***+++---------,,,---------.........//////................................./////////000000...///000111222111000000///////////////////////////////////////.........////////////////////////............////////////111111111111111111111111////////////000000000111333111//////000000000...111111111111111111222222000000111111111111000000222222222111111000000000//////000000000000////////////000000000000//////111111111000000000000000//////000000000//////...111000///------...///000///////////////........./////////000000000////////////////////////////////////............/////////......---------......------............------,,,---//////...---------,,,------...............------............------........................------------------------......////////////......------...///000111111222//////.........---......////////////////////////000000////////////000000000000////////////000000//////000000000000//////000000////////////000000///////////////////////////000000000111111111111000000000000000000000000000000111222222111111111222111000//////000111222111111111111111111111111222222111111111111222222111111222222222222111111111111111111111111111111111111111000000000000000000000////////////000000...//////000000//////...++++++************++++++******++++++++++++******)))))))))(((((((((((((((++++++++++++,,,,,,------))))))************))))))************************'''((((((((())))))))))))************************...---+++)))((('''&&&&&&************************)))******+++,,,,,,,,,---,,,+++******))))))*********++++++,,,,,,++++++***))))))******+++++++++,,,,,,,,,,,,+++++++++******))))))*********+++++++++------,,,+++************++++++++++++++++++++++++++++++***)))))))))******,,,,,,+++++++++,,,,,,---,,,,,,---------.........+++++++++++++++,,,,,,,,,++++++++++++++++++++++++...---,,,,,,---...,,,+++***+++,,,,,,------------++++++***)))***+++---...++++++++++++++++++++++++,,,,,,,,,---------......------.........---,,,,,,***++++++,,,,,,------...---------,,,,,,++++++++++++++++++,,,,,,,,,------,,,,,,------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++************+++,,,,,,,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,***+++---//////...---,,,+++,,,---......---,,,+++,,,+++***+++---...---,,,------------................................................////////////,,,...///111111000///....................................///////////////////////////////////////............////////////...........................////////////000000000///...,,,---///000000000222222111111111111111111///000111111111111000////////////000000111111111//////000000000000////////////000000000000//////000000000000000000111111//////000000000000000///222111000/////////000111.........///////////////000000000/////////000000/////////////////////////////////....../////////000///////////////000000------............------,,,...000///...,,,---///,,,---......//////......------............------......................................................///////////////...---......///000111222222333222111111000000111111........................000000////////////000000000000////////////000000//////000000000000//////000000////////////000000///////////////////////////000000000111111111111111111111111111111111111///000000000000000//////333333111111111222333444111111111111111111111111222111111000000111111222000111111222222111111000111111111111111111111111000000000000000000111111000000////////////000000---......//////......---++++++************++++++******+++,,,,,,+++******************************++++++*********+++,,,---)))******************)))))))))))))))))))))))))))************++++++++++++***************+++++++++,,,+++***)))))))))))))))***************+++++++++((()))***+++,,,,,,,,,,,,*********+++,,,---//////++++++++++++++++++++++++))))))******+++,,,,,,,,,,,,,,,,,,+++++++++***************++++++++++++,,,---,,,+++******************++++++,,,,,,++++++***---,,,,,,+++++++++,,,,,,+++++++++++++++,,,,,,---,,,---------............++++++++++++************++++++++++++++++++++++++...---,,,,,,.........,,,)))***+++,,,---.........++++++***++++++,,,---...++++++++++++++++++++++++************++++++++++++,,,------......---,,,,,,+++++++++,,,,,,------------,,,,,,,,,,,,,,,,,,+++++++++,,,,,,,,,,,,------,,,------......------,,,++++++,,,,,,,,,,,,------***************+++,,,,,,,,,---...//////...---,,,++++++,,,,,,,,,,,,++++++(((***---///000///...,,,,,,------......------,,,---,,,+++,,,...///...---,,,------------.........------------------------------........./////////,,,---...///000///...---.................................///////////////////////////////////////............////////////////////////////////////......////////////000000...,,,+++---///111111111111111111111111000000000///000111222222111000///---......///000000111111000000000000000//////...//////000000000000//////000000000000111111111111//////000111111111000000000000000000000000000000.........///////////////111111000/////////000000000000000000000000000000000//////......//////000000000000///000000111111------............------,,,///111111...---...000------...////////////...------............------........................////////////////////////......///000000000///////////////000000111111111000///---,,,,,,,,,---...........................///////////////000000111111000000///////////////...//////000000000000000000000////////////000000000000000000000000000000000000000000111111111111111111111111111111111111///000000000000///......222222222222222222333444111111111111111111111111222111000//////000111222000000111111111111000000111111111111111111111111000000000000111111111111000000////////////000000---......//////......---++++++************++++++***++++++,,,,,,++++++***)))***************************)))))))))***+++,,,******++++++++++++******((((((((((((((((((((((((************++++++++++++))))))*********+++++++++''''''((()))+++---///000))))))*********+++++++++******+++++++++***((((((*********+++,,,---//////,,,+++***))))))***+++,,,))))))***++++++,,,------,,,,,,,,,+++++++++******++++++++++++,,,,,,,,,,,,++++++***************+++***+++,,,,,,,,,,,,+++***,,,+++++++++++++++,,,,,,++++++******+++,,,,,,---------------............,,,,,,,,,++++++*********++++++++++++++++++++++++,,,+++***+++---......---***++++++,,,------------***+++,,,------.........,,,,,,,,,,,,,,,,,,,,,,,,)))************+++++++++,,,,,,------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,,,,,,,,,,,,,---++++++,,,,,,,,,,,,------,,,,,,,,,------,,,,,,,,,+++++++++,,,,,,---------***************++++++,,,,,,++++++++++++++++++,,,***+++,,,,,,,,,,,,+++***)))***,,,---////////////---------,,,,,,---------...---,,,---///000///...,,,,,,---------.........---------------------------------.........//////------....../////////......................................./////////000////////////////////////............////////////111111111111111111111111........./////////000000000///......000222222111111111111000000////////////000111222222111000////////////000000000000000000000000000000///......//////000000000000/////////000000000111111111111//////000111111111111111+++,,,...000000000///.............../////////000222222000/////////000000000000000000000000000000000000////////////000000///////////////000111111------............---------000333222///---///222------...///////////////------............------......................................................///000000000000000000000000000000000000111---,,,***)))((()))***+++........................///////////////000111111111111000///////////////......///000000000000000000000////////////000000000000000000000000000000000000000000111111111111111111111111111111111111111111111111111000///...///000111111222222222111111111111111111111111111222111000//////000111222000000111111111111000000000000000000000000000000///000000000111111111111000000////////////000000//////000000000000//////++++++************++++++***+++,,,------,,,+++***''''''''''''((((((((((((***)))((((((((()))+++,,,++++++,,,,,,,,,,,,++++++(((((((((((((((((((((((((((((((((((())))))))))))))))))******++++++++++++------,,,+++******++++++))))))******++++++++++++,,,,,,,,,+++***(((%%%$$$,,,+++******))))))******,,,+++)))(((((()))+++,,,))))))***+++,,,,,,------,,,,,,,,,+++++++++******++++++,,,,,,,,,---------+++***************++++++***+++,,,------,,,+++***))))))(((((()))******++++++*********+++,,,,,,------------.........//////......---,,,,,,+++******++++++++++++++++++++++++***))))))***,,,...---,,,,,,,,,---------,,,++++++)))+++,,,...//////......,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,---------++++++,,,,,,---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++,,,,,,---------++++++,,,,,,,,,---------+++++++++,,,,,,++++++++++++++++++,,,,,,---------*********)))***++++++,,,***)))&&&%%%%%%&&&)))******+++,,,------,,,+++***++++++++++++,,,...000111......,,,++++++,,,......///...---...000000000///,,,,,,,,,---------......---------------------------------.........//////............/////////000........................---.........//////000000////////////////////////............/////////000..................................../////////000333222000000111222222111111000000000//////.........000111222222111000...222222111111000/////////000000000000000///......//////000000000000////////////000000111111111222//////000111111111111111(((***---///000///...,,,---.........//////000000333222111/////////000111000000000000000000000000000000////////////000000...............///000000---..................------111444333///---000333---......///////////////---..................---........................------------------------......///000000000000000111111111000000000000000222000///------...///000........................///////////////000111111111111000///////////////......///000000000000000000000////////////000000000000000000000000000000000000000000111111111111111111111111111111111111222222222222222111000///---...///111111111000///111111111111111111111111222111000......000111222000000111111111111000000//////////////////////////////000000111111111222000000////////////000000111111222222222222111111,,,,,,++++++******))))))))))))))))))***************))))))))))))******+++))))))))))))************)))+++,,,,,,***))))))***,,,,,,+++***)))(((''''''''''''((()))***++++++,,,******++++++++++++******+++*********))))))(((((()))************++++++++++++++++++*********))))))((()))***+++++++++++++++++++++++++++++++++++++++)))'''%%%&&&***------,,,***++++++,,,,,,++++++***...------,,,,,,------...,,,,,,+++******+++,,,,,,++++++,,,,,,,,,++++++***+++,,,---......---+++***************************+++***)))((()))***,,,---...------,,,,,,++++++***---------,,,,,,+++++++++,,,,,,,,,++++++*********+++,,,,,,------,,,,,,+++***+++---------+++)))(((---,,,++++++******+++++++++*********))))))((((((+++++++++*********)))))))))+++,,,,,,+++***,,,---...---++++++,,,...///...,,,,,,,,,++++++*********+++++++++******)))))))))++++++*********))))))))),,,,,,,,,------.........,,,,,,,,,,,,,,,,,,,,,,,,+++++++++++++++++++++++++++,,,...//////...,,,+++,,,---...//////...---,,,////////////////////////......//////////////////.........------,,,,,,,,,............////////////..................------////////////////////////............//////////////////000000000000/////////000000///------...000............////////////000000000000000000000000000000000000000000000000000000000000000000000000111111111111111111111111000000000000000000000000////////////////////////000000000000000000000000111111000000//////......000111222222222000///...000000//////.........---//////............//////..............................//////////////////000000//////.........---////////////////////////........................////////////////////////000000000000000000000000//////.........---------........................---------............///000000//////............---.........//////000000222111...------...111222........................///////////////.........000///...------...///000............///////////////...,,,+++,,,---///111000000000000000000000000------------...///000111000000000000000000000000000000000000000000000000000000////////////000000000000000000000111111222111000111222444333111///000000000000000000000000000000000000000///......000000000000000000000000000000000000000000000000000000000000000000000000************))))))))))))))))))))))))******************)))(((((())))))))),,,,,,+++***)))(((''''''***+++---,,,***))))))***++++++++++++************(((((())))))******++++++******++++++++++++******************)))))))))((()))************+++++++++,,,,,,,,,,,,++++++******))))))***+++++++++++++++++++++++++++++++++++++++...+++)))***---......---***++++++,,,,,,++++++***++++++************++++++,,,++++++******++++++,,,+++++++++,,,,,,++++++***++++++,,,,,,,,,,,,++++++++++++++++++++++++++++++***+++++++++,,,,,,,,,++++++++++++++++++,,,,,,,,,,,,,,,+++++++++*********+++++++++******)))))))))+++,,,,,,------,,,,,,+++++++++,,,---,,,+++***)))---,,,++++++******++++++++++++++++++*********)))+++++++++*********)))))))))+++,,,,,,+++***,,,---...,,,******,,,......---,,,,,,,,,+++++++++******------,,,,,,,,,,,,,,,,,,++++++,,,---...///000000,,,,,,,,,---------------,,,,,,,,,,,,,,,,,,,,,,,,........................------...//////...------------...//////...------.................................---------------------------------,,,,,,------------....................................////////////////////////............//////////////////000000000000//////---///000///......///000............////////////////////////////////////000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000////////////////////////000000000000000000000000000000000000////////////000000111111111000///...000/////////............//////............//////........................///////////////.........000/////////............////////////////////////........................////////////////////////........................//////.........---------........................---------............////////////.........------............/////////000111000///......///000111.................................///////////////000///...------...///000////////////000000000000///...---,,,---...000111000000000000000000000000000000//////000000111222111111111111111111111111000000000000000000000000000//////////////////000000000000000000111111222111000000111222222111///000000000000000000000000000000000000000///......000000000000000000000000000000000000000000000000000000000000000000000000***************+++++++++)))))))))*********+++++++++***)))(((((('''((((((,,,,,,+++***)))(((''''''***,,,------+++******+++******++++++,,,,,,,,,---)))))))))))))))***************++++++++++++******************)))))))))))))))************+++++++++---------,,,,,,,,,,,,+++))))))***++++++++++++***************************///---,,,,,,---......---***++++++,,,,,,++++++*********))))))))))))******,,,+++************+++,,,***++++++,,,,,,++++++++++++***************++++++,,,,,,,,,,,,,,,,,,,,,,,,+++,,,---...---,,,+++)))((())))))***++++++,,,,,,***************)))))))))*********)))))))))))))))++++++,,,,,,,,,,,,++++++,,,,,,,,,++++++++++++***---,,,++++++******++++++,,,,,,,,,++++++++++++++++++++++++***************)))+++,,,,,,+++***,,,------+++******,,,------,,,,,,,,,,,,++++++++++++***,,,,,,,,,,,,,,,,,,------))))))***+++,,,---......------------,,,,,,,,,,,,+++++++++,,,,,,---------////////////////////////........................------...//////...------...........................---------,,,,,,++++++,,,,,,------------------+++,,,,,,,,,------------........................////////////////////////---............/////////...//////000000//////...+++---000000/////////000............////////////////////////////////////000000000000000000000000000000000000000000000000////////////////////////000000000000000000000000////////////////////////000000000000000000000000////////////000000000000//////000000000///......////////////............//////............//////........................000000//////.........---////////////............////////////////////////........................////////////////////////.......................................---------........................---------............///.........---------------............////////////////////////////////////........................------......//////000000//////............////////////000000000111111111000///...---...///000111000000000000000000000000222222111111111222222333222222222222222222222222000000000000000000000000//////............//////000000000000000111111222222000//////000111000000000000000000000000000000000000000000000//////...000000000000000000000000000000000000000000000000000000000000000000000000***++++++,,,,,,---------))))))*********++++++++++++***)))(((''''''''''''((()))))))))************+++,,,------+++******+++*********+++++++++,,,,,,*********)))))))))))))))******++++++++++++***************)))))))))))))))))))))*********+++++++++,,,,,,,,,,,,,,,,,,,,,+++)))******+++++++++******))))))))))))))))))))))))+++*********++++++++++++***++++++,,,,,,++++++***++++++************++++++++++++************++++++******+++,,,,,,,,,++++++******((((((((()))+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++******)))((()))))))))*********+++******************************************))))))++++++,,,,,,,,,,,,++++++,,,,,,+++******++++++,,,---,,,++++++******++++++++++++++++++++++++++++++************************)))+++,,,,,,+++***,,,---+++***)))***,,,---,,,+++++++++++++++++++++++++++)))))))))******+++++++++,,,+++++++++************...------,,,,,,+++++++++******+++,,,,,,---......,,,,,,,,,,,,,,,,,,,,,,,,......------------......---..................---..............................------,,,,,,++++++,,,,,,,,,------.........,,,,,,,,,,,,---------------------...............////////////////////////---------.........//////...//////////////////...))),,,///111111000///000............////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////......//////000000111111...///////////////......///////////////.........//////............//////........................000000000///......------///////////////.........////////////////////////........................////////////////////////........................................................................---------............///------------------------.........///////////////......///000000///..............................,,,------...///000111111/////////....../////////////////////000000000000000////////////000111111////////////////////////111000111111222333444555222222222222222222222222000000000000000000000000//////............//////000000000000000111111222222000...---///000000000//////////////////////////////000000000000//////////////////////////////000000000000000000000000000000000000000000000000)))*********++++++,,,,,,************++++++++++++++++++***(((''''''''''''((()))))))))***************,,,------+++******++++++*********))))))))))))*********)))))))))))))))******++++++++++++******))))))))))))))))))******))))))*********+++++++++************++++++++++++******+++++++++******)))))))))))))))))))))))))))&&&'''((()))***+++,,,,,,***++++++,,,,,,++++++***+++******))))))******+++************************)))***+++,,,,,,,,,,,,,,,))))))((('''((()))+++,,,++++++++++++++++++++++++...,,,)))'''&&&(((***+++*********))))))(((((((((******++++++++++++++++++++++++++++++++++++++++++***++++++,,,,,,++++++***,,,++++++******+++,,,,,,---,,,++++++******++++++))))))******************************************)))+++,,,,,,+++***,,,---+++***)))***,,,---,,,+++++++++++++++++++++++++++)))))))))******+++++++++............---------------------,,,,,,++++++*********+++,,,,,,---......++++++++++++++++++++++++---,,,,,,++++++,,,,,,---.........------.............................................------,,,,,,,,,,,,,,,------.........,,,------------.........---------.........//////////////////////////////------------..................////////////......))),,,///111111000///000............////////////........................////////////////////////////////////////////////000000000000000000000000////////////////////////////////////////////////////////////////////////......//////000000111111///............/////////........./////////////////////............//////////////////////////////000000//////.........---.........///////////////////////////////////////........................////////////////////////////////////////////////---.............................................---------............///------------------------///////////////.........---...///000000///...---........................,,,------...///000111111...//////////////////...---------........./////////////////////000000111////////////////////////------...///111333555666222222222222222222222222000000000000000000000000//////............//////000000000000000111111222222000...---///000000000//////////////////////////////000000000000//////////////////////////////////////////////////////////////////////////////((((((((((((((()))))))))*********++++++++++++,,,,,,+++***))))))((()))))),,,,,,+++***)))((('''''')))+++,,,,,,***))))))************)))))))))(((((()))))))))))))))***************++++++++++++******))))))))))))************)))************+++++++++)))***************++++++***++++++++++++***))))))************************&&&(((+++,,,,,,,,,...///***++++++,,,,,,++++++***))))))(((((((((((())))))))))))***++++++***)))))))))***++++++,,,,,,,,,,,,(((((((((((()))***+++,,,************************...+++'''$$$$$$'''***,,,++++++******)))(((((('''*********++++++++++++++++++++++++++++++,,,,,,,,,******++++++++++++*********++++++++++++,,,,,,,,,---,,,++++++******++++++)))))))))))))))************************+++++++++)))+++,,,,,,+++***,,,---+++******,,,---...,,,+++***++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,------))))))***+++,,,---......,,,,,,,,,,,,+++++++++++++++++++++,,,,,,---------------------------------++++++++++++++++++++++++///...------------...///---------------------------------------.........,,,,,,------------------------------............,,,,,,------.../////////////////////////////////,,,------------.........---......//////......---+++---000000/////////000............////////////........................000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000////////////////////////000000000000000000000000////////////000000000000//////.........///000111........./////////////////////............//////////////////////////////////////////////////////.........///////////////////////////////////////........................////////////////////////000000000000000000000000---------.......................................---------............///---------------.........///////////////.........---...///000000///...---........................------......//////000000......////////////......,,,,,,---------.............../////////000000000000000000000000000000000,,,,,,---...000222444555222222222222222222222222000000000000000000000000000000////////////000000000000000000000111111222222000//////000111000000000000000000000000000000...//////000000000000000000000000000000000000000////////////////////////////////////////////////******)))))))))))))))(((*********+++++++++,,,,,,++++++************++++++,,,,,,+++***)))(((''''''(((***++++++)))(((((())))))***************++++++(((((())))))******++++++******++++++++++++******((()))))))))************)))************+++++++++*********++++++,,,,,,,,,+++++++++++++++***))))))++++++++++++++++++++++++'''***---...,,,,,,---...***++++++,,,,,,++++++******))))))(((((())))))***((()))***++++++***)))((())))))***+++,,,,,,,,,,,,'''((()))***++++++++++++++++++++++++++++++++++++,,,***(((&&&&&&(((+++---************************)))))))))*********++++++)))*********++++++++++++******++++++++++++******)))***+++,,,---,,,++++++---,,,++++++******++++++)))))))))******+++++++++))))))*********+++++++++)))+++,,,,,,+++***,,,---+++++++++---...///---+++******+++++++++,,,,,,,,,------,,,,,,,,,,,,,,,,,,%%%&&&'''((()))******++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,........................++++++,,,------,,,++++++///...------------...///------------------------+++++++++,,,------......------------------,,,,,,+++,,,,,,,,,------------,,,,,,------...//////000////////////////////////,,,,,,---------.........---......//////......------///000///......///000............////////////........................000000000000000000000000000000000000000000000000////////////////////////000000000000000000000000////////////////////////000000000000000000000000000000000000////////////000000/////////000111222............/////////000//////............//////////////////////////////------......///000000000............/////////000////////////////////////........................////////////////////////////////////////////////---------.........//////........................---------............///------........./////////000/////////............---..................---.................................///////////////---...///000000///...---------------.........///------...///////////////000000000000000000000000///////////////000111222111111111111111111111111000000000000000000000000111111000000000000111111000000000000000111111222111000000111222222111///000000000000000000000000......///000000000000000000000000000000000000000////////////////////////////////////////////////...------,,,,,,+++++++++******+++++++++,,,,,,,,,+++++++++***++++++,,,,,,))))))))))))************((()))******(((''''''(((((()))***+++,,,---......'''(((((()))***++++++,,,******++++++++++++******(((((())))))*********+++)))************++++++++++++++++++,,,,,,---------+++++++++++++++***)))(((++++++++++++++++++++++++(((+++......+++)))***,,,+++++++++,,,,,,+++++++++,,,,,,++++++++++++,,,,,,((()))***++++++***)))(((((()))***+++,,,---------'''(((***+++,,,,,,,,,+++,,,,,,,,,,,,,,,,,,,,,,,,***)))))))))***+++,,,,,,)))))))))***++++++,,,,,,'''((((((((())))))******(((((())))))*********+++******++++++++++++******((()))+++---...---+++***---,,,++++++******++++++*********++++++,,,,,,,,,))))))******++++++++++++)))+++,,,,,,+++***,,,---,,,+++,,,---//////---+++*********++++++,,,,,,,,,,,,++++++******)))))))))++++++++++++*********)))*********++++++,,,,,,------,,,,,,,,,,,,,,,,,,,,,------------------------+++,,,...//////...,,,+++///...---,,,,,,---...///------------------------))))))***+++,,,------............------,,,,,,,,,******+++++++++,,,,,,,,,,,,,,,------...///000000////////////////////////,,,,,,,,,---------......---..................---///000000///------...000............/////////000........................000000000000000000000000000000000000000000000000........................000000000000000000000000////////////////////////000000000000000000000000111111000000//////......111000/////////111222333---.........//////000000//////............//////000000000000000000000000,,,,,,---...///000111111---.........//////000000////////////////////////........................////////////////////////........................---------.........//////........................---------.........//////........./////////000000000000//////.........---................................................///////////////.........---...///000000///...---............/////////000,,,------...///.........000000000000000000000000222222111000//////000000000000000000000000000000000000000000000000000000222222111111111111222222000000000000000111111222111111111222444333111///000000000000000000000000......///000000000000000000000000000000000000000////////////////////////////////////////////////******+++++++++,,,,,,,,,------,,,)))&&&&&&***...+++++++++***************++++++++++++++++++++++++++++++++++++++++++++++++***++++++++++++***))))))))))))(((((((((((())))))***+++,,,,,,+++***+++,,,***)))(((''''''((()))***+++***)))(((((()))***+++,,,,,,,,,,,,,,,,,,,,,,,,---,,,+++*********+++,,,))))))))))))************,,,,,,------,,,,,,++++++---------,,,,,,+++++++++++++++++++++++++++++++++***))))))***+++,,,,,,+++******)))))))))***,,,---,,,,,,,,,,,,,,,,,,,,,,,,***+++,,,---,,,+++***))).........---,,,+++***)))++++++++++++++++++++++++))))))))))))***+++,,,---************************++++++++++++++++++++++++...---,,,,,,+++++++++++++++++++++++++++++++++++++++++++++***************+++***)))***++++++***))))))***,,,------+++(((&&&///---,,,,,,---,,,***(((*********++++++,,,,,,,,,***+++---,,,***))))))))),,,***)))***,,,,,,***'''***+++---......---+++***,,,,,,++++++,,,,,,---...,,,,,,,,,++++++*********............////////////---------,,,,,,+++++++++........................---,,,,,,,,,,,,---......///......------......///---,,,***))))))***,,,---..................------/////////////////////////////////000//////......---------........./////////...------//////...---,,,---000222333333222111////////////////////////000000000000000000000000111111000000//////......////////////////////////000///...------...///000////////////////////////000000000000000000000000000000000000000000000000111111000000//////......////////////////////////////////////////////////,,,------......------,,,............------------//////.........---------...---,,,++++++---.../////////.........---------///......------......///------------------------111000///------......///........................000///...---------------000000//////.........---////////////............000000//////.........---//////////////////////////////////////////////////////............//////---------------------------------.........//////000///...---,,,------...////////////////////////000000////////////000000222111111000///......---111111000000000000111111000000////////////000000000000000000///////////////000111111111///...---000000000000000000000000......///000000000000000000000////////////000000000000000000000000000000))))))*********+++++++++&&&''''''$$$""""""%%%'''************************+++*********************************************---------------,,,,,,+++))))))(((((((((((())))))***+++,,,+++***)))***,,,+++***)))(((((()))***++++++***)))(((((()))***+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++*********+++,,,))))))))))))***************++++++,,,---------,,,------,,,,,,,,,+++++++++++++++++++++++++++++++++(((&&&&&&'''((())))))(((+++***)))))))))***+++,,,***************************+++,,,,,,,,,+++******------------,,,+++******++++++++++++++++++++++++++++++***************+++************************++++++++++++++++++++++++...---,,,+++++++++++++++++++++++++++++++++++++++******************+++++++++***)))***++++++***)))++++++++++++******))))))+++******+++------,,,+++***++++++++++++++++++,,,***+++,,,+++)))((()))******)))(((***,,,---+++)))((()))************)))(((,,,++++++++++++,,,------,,,,,,,,,+++++++++******------------............---------,,,,,,,,,++++++........................---,,,,,,,,,,,,---......---,,,,,,++++++,,,,,,---///...,,,++++++,,,...///////////////////////////........................------............---------------........./////////...---...///000///---)))***---///000000///...////////////////////////000000000000000000000000111000000000/////////...////////////////////////000///...------...///000000000000000000000000000000000000000000000000000000000000000000000000000111000000000/////////...////////////////////////////////////////////////,,,------......------,,,//////////////////////////////.........---------+++++++++,,,---...///000//////.........---------,,,++++++******++++++,,,------------------------111000///...---......///........................///......------------...000/////////.........---000000000///////////////000/////////............//////////////////////////////////////////////////////............//////////////////////////////---------.........//////000///...---------......////////////////////////000000////////////000000111111111000///.........111111000000000000111111000000////////////000000000000000000///////////////000111111000///...---000000000000000000000000......///000000000000000000000////////////000000000000000000000000000000(((((()))))))))*********(((((()))'''&&&%%%'''((())))))))))))))))))))))))*********)))))))))(((((())))))))))))))))))))))))***************)))((((((***))))))(((((())))))***)))***++++++))))))***+++++++++************+++++++++***))))))))))))***+++******++++++,,,,,,------++++++*********++++++,,,)))))))))*********++++++((()))***,,,------......,,,,,,,,,,,,++++++++++++++++++++++++++++++++++++***)))))))))+++,,,+++***,,,+++******)))*********((((((((((((((()))))))))******++++++,,,++++++***+++,,,,,,,,,,,,,,,++++++++++++++++++++++++++++++---,,,+++***))))))))))))************************++++++++++++++++++++++++---,,,,,,++++++++++++,,,************************)))))))))***+++++++++,,,+++***)))***++++++***)))---+++***)))((()))***+++((('''(((***---......,,,+++++++++++++++*********...///...---++++++---///((('''(((***,,,------+++++++++,,,,,,,,,,,,+++++++++++++++++++++,,,------,,,,,,,,,++++++++++++***+++,,,,,,,,,------------------------,,,,,,,,,,,,........................---,,,,,,,,,,,,---......---,,,,,,++++++,,,,,,---///...---,,,,,,---...///////////////////////////------------------------------...............------............////////////...---...///000///---)))***,,,......///......////////////////////////000000000000000000000000000000000000//////////////////////////////////////////............//////111111111111111111111111000000000000000000000000000000000000000000000000000000000000////////////////////////////////////////////////////////////------............------/////////000000000//////...............---------)))***,,,---//////000000...............---------......------------......------------------------000///......------..............................---------.............../////////........................///////////////////////////............//////////////////////////////////////////////////////............//////////////////////////////------........./////////000///......------..............................000000////////////000000111111000000//////......111111000000000000111111000000////////////000000////////////000000000000///000000000000//////...000000000000000000000000......///000000000000000000000////////////000000000000000000000000000000))))))))))))*********++++++,,,,,,,,,++++++++++++(((((((((((())))))))))))+++++++++***))))))((((((************************(((((((((((((((''''''&&&***))))))))))))))))))***(((*********)))((()))***************************************************))))))***+++,,,------...***************+++++++++))))))*********+++++++++))))))***,,,,,,---------,,,+++++++++++++++++++++++++++++++++++++++++++++,,,+++***+++,,,---,,,+++,,,,,,+++******)))))))))''''''(((((((((((())))))*********+++++++++++++++***++++++,,,,,,,,,++++++++++++++++++++++++++++++,,,++++++***))))))*********************************+++++++++++++++,,,,,,,,,,,,+++++++++++++++,,,))))))))))))))))))))))))(((((()))***+++,,,,,,,,,+++***)))***++++++***)))++++++***************+++'''''''''))),,,------,,,,,,,,,++++++******))))))------,,,***)))))),,,///(((((()))***,,,,,,,,,+++...---,,,,,,,,,,,,---...+++++++++***+++,,,,,,---++++++++++++++++++++++++,,,,,,,,,,,,------------------------------,,,,,,........................---,,,,,,,,,,,,---......///......------......///---,,,++++++++++++,,,---............////////////------------------------......///000000000//////.............../////////...---,,,---...///...,,,,,,---...000000111000000////////////////////////////////////////////////000000000000/////////////////////////////////////////////....../////////000000000000000000000000////////////////////////////////////////////////000000000000////////////////////////////////////////////////////////////------............---------...///000000//////...........................***+++---///000//////...........................000//////////////////000........................//////......------------........................,,,,,,---....../////////........................,,,,,,------------......///////////////.........//////////////////////////////////////////////////////............//////------------------------............//////////////////..................////////////////////////000000////////////000000111000000000/////////...111111000000000000111111000000////////////000000////////////000000000000///000000000000/////////////////////////////////......///000000000000000000000////////////000000////////////////////////*********+++++++++,,,,,,))))))))))))*********)))''''''(((((()))))))))))),,,,,,+++++++++*********++++++++++++++++++++++++++++++,,,,,,++++++***)))******))))))))))))******(((*********)))((()))***((())))))))))))))))))(((******++++++++++++******))))))******+++,,,------))))))******++++++++++++************+++++++++++++++++++++,,,,,,+++******++++++++++++++++++++++++++++++++++++++++++++++++***)))(((((()))***)))(((++++++++++++******))))))((((((((()))))))))******)))))))))******+++++++++******++++++,,,+++++++++++++++++++++++++++++++++******))))))***++++++,,,*********************************++++++,,,,,,,,,+++++++++******++++++,,,))))))))))))))))))))))))(((((()))***+++,,,,,,,,,+++***)))***++++++***)))((()))+++,,,,,,+++***))))))))))))***,,,,,,+++***+++++++++******)))))))))(((((('''%%%$$$%%%(((***)))***+++++++++***************))))))))))))******+++************+++,,,,,,++++++++++++++++++++++++,,,------------.........------------------------........................---,,,,,,,,,,,,---......///......------......///,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------.........------------------------,,,---...///////////////////////////////////////---,,,++++++------,,,+++...///000000111111111111////////////////////////////////////////////////////////////000000000000////////////////////////...//////////////////...////////////////////////////////////////////////////////////////////////////////////000000000000////////////////////////////////////////////////---......//////......---...///000222222222111000---.....................---.../////////...---,,,---.....................------,,,,,,,,,,,,------.......................................------,,,........................+++,,,---.../////////...---------...............------........./////////........./////////////////////////////////////////////////////////////////////............//////................................./////////000000......//////////////////000000000000000000000000000000////////////000000000000000000////////////111111000000000000111111000000////////////000000.../////////000000000111000////////////000000000////////////////////////......///000000000000000000000////////////000000////////////////////////***++++++++++++,,,,,,,,,***((('''''')))******)))'''(((((())))))******+++++++++++++++++++++++++++++++++++++++++++++++++++***++++++++++++***))))))+++******))))))******+++)))***++++++))))))***+++(((((())))))))))))((((((******+++,,,,,,+++******))))))******++++++,,,,,,'''((()))***++++++++++++*********++++++++++++,,,+++++++++++++++***))))))*********+++++++++++++++++++++++++++++++++++++++,,,+++******++++++***)))******+++++++++***))))))(((((())))))******++++++)))))))))))))))***+++,,,***+++++++++++++++******++++++++++++++++++++++++))))))))))))***+++,,,---*********************************++++++,,,,,,---+++************++++++,,,************************)))))))))***+++++++++,,,+++***)))***++++++***)))'''(((+++------,,,***(((,,,+++***+++,,,,,,***)))***************))))))))))))******)))((((((***,,,***+++,,,,,,***))))))***++++++++++++++++++++++++***************+++,,,,,,***++++++++++++,,,,,,,,,------------............------------....................................---,,,,,,,,,,,,---......---,,,,,,++++++,,,,,,---........................+++++++++,,,------......------------------------***+++,,,---............000000000////////////...---,,,+++,,,---...---+++............//////000000////////////////////////000000000000000000000000////////////000000000000////////////////////////......////////////..............................000000000000000000000000000000000000000000000000////////////000000000000////////////////////////////////////////////////......////////////......///000222444555444333222---------...............//////000//////...---,,,---------...............///......------......///........................---............---,,,,,,........................,,,---.../////////...------------------.........//////000000111222222222........./////////////////////////////////////////////////////////////////////............//////000000000000000000000000....../////////000000000......///000000000//////000000000000000000000000000000////////////000000000000000000////////////111111000000000000111111000000////////////000000......//////000000111111000////////////000000111000000000000000000000000......///000000000000000000000////////////000000000000000000000000000000************++++++++++++,,,)))&&&&&&)))+++++++++(((((())))))***++++++,,,))))))******++++++,,,,,,************************))))))******))))))((('''+++******))))))******+++***+++,,,+++***)))***,,,((()))************)))(((***++++++,,,,,,++++++******************+++++++++&&&''')))***+++++++++************+++++++++,,,,,,)))******++++++++++++***)))*********++++++++++++++++++++++++++++++++++++///...,,,,,,---...,,,+++))))))***+++,,,+++******'''(((((()))******++++++)))((((((((()))***,,,---+++++++++++++++***)))(((+++++++++++++++++++++++++++***************++++++************************)))******+++,,,,,,------***************+++,,,,,,++++++++++++++++++++++++******************+++++++++***)))***++++++***)))((()))***+++,,,++++++***,,,+++++++++------+++***))))))))))))***************,,,------,,,,,,---...(((***,,,,,,***)))***,,,,,,---............---,,,***************++++++,,,******+++++++++,,,,,,,,,+++,,,,,,,,,------------------------.........///........................---,,,,,,,,,,,,---......---,,,,,,++++++,,,,,,---......////////////......++++++,,,,,,---......///........................,,,---...///000000000000000000000000/////////...///...------//////...---...------------...//////////////////////////////000000000000000000000000.../////////000000000111////////////////////////---...///000000///...---////////////////////////000000000000000000000000000000000000000000000000.../////////000000000111////////////////////////////////////////////////......////////////......---...111333444333222000---------.........//////000//////............///---------.........//////111111000000000000111111........................------.........---,,,+++........................------///000///...---+++,,,,,,,,,------...............//////000111111222............/////////000//////////////////////////////////////////////////////............//////000000000000000000000000.../////////000000000000---...///000111000000///........................000000////////////000000////////////000000000000111111000000000000111111000000////////////000000.........///000111111111000///......///000111222000000000000000000000000......///000000000000000000000////////////000000000000000000000000000000))))))))))))***************&&&###"""%%%((())))))((())))))***+++,,,,,,,,,''''''((()))***+++,,,,,,))))))))))))))))))))))))---------------,,,++++++++++++************++++++***+++,,,,,,+++***+++,,,)))***+++,,,,,,+++***)))***+++,,,------,,,+++***+++++++++***************&&&''')))***+++++++++*********+++++++++,,,,,,,,,'''((()))***+++,,,,,,,,,))))))******++++++++++++++++++++++++++++++++++++,,,+++*********+++)))(((((()))***+++,,,,,,+++***'''''''''((()))******+++)))((((((((((((***,,,---,,,,,,,,,+++***)))((('''++++++++++++++++++++++++---,,,+++***))))))))))))************************))))))***+++,,,,,,------******))))))***+++,,,,,,+++++++++++++++++++++++++++++++++***************+++***)))***+++++++++)))******)))))))))***,,,---+++++++++,,,......---,,,(((((())))))******++++++%%%''')))))))))((()))***%%%(((+++,,,******,,,...((()))+++,,,,,,+++)))(((*********)))***++++++,,,*********++++++,,,,,,,,,******+++++++++,,,,,,,,,---------.........//////........................---,,,,,,,,,,,,---......///......------......///,,,,,,------------,,,,,,,,,,,,------...///000000////////////////////////000000111333333444444444111111000000/////////...111///...///000111000/////////.........///000000////////////////////////000000000000000000000000.../////////000000111111////////////////////////---...///000000///...---000000000000000000000000000000000000000000000000000000000000000000000000.../////////000000111111////////////////////////////////////////////////......////////////......)))+++---000111000...------------........./////////...---------///000111---------.........//////......------------......////////////////////////,,,---.........---,,,+++........................---...///000000...,,,***,,,,,,,,,------.........++++++,,,,,,---...//////---.........//////000000//////////////////////////////////////////////////////............//////////////////////////////////////////000000000000---...///111111111000///,,,,,,,,,,,,,,,,,,,,,,,,000000////////////000000////////////000000000000111111000000000000111111000000////////////000000---......///000111111222000///.........000111222000000000000000000000000...//////000000000000000000000////////////000000000000000000000000000000,,,+++++++++******))))))******))))))))))))******+++*********))))))((((((---------,,,+++***)))((())))))))))))************''''''((()))***++++++,,,,,,,,,------,,,,,,+++***------------+++***((('''+++)))&&&%%%%%%'''***------,,,***)))))))))******+++,,,,,,------,,,,,,+++,,,,,,,,,------,,,++++++++++++***)))***+++---...+++)))'''))),,,---,,,***---------,,,,,,+++++++++++++++******************+++++++++************))),,,,,,,,,++++++*********)))$$$ !!!'''++++++***+++,,,------++++++,,,------------,,,,,,,,,++++++,,,------,,,+++***)))((())))))*********+++++++++,,,+++++++++******))))))++++++,,,,,,,,,,,,------,,,,,,,,,++++++*********)))(((((()))+++------,,,******)))(((((((((((((((++++++,,,++++++***)))(((+++***)))(((((()))***+++)))))))))******++++++,,,,,,+++***((((((((()))***((()))***+++++++++++++++((()))))))))***************+++,,,,,,******+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------...//////...,,,+++******+++,,,//////.........---------//////.........---------,,,,,,,,,,,,,,,,,,,,,,,,------------------------++++++,,,,,,---...//////111111000///...---,,,,,,........................***+++,,,---...000111111000---***+++...111000...000000//////.........---............////////////000000////////////000000000000000000////////////,,,---...000000000///...////////////000000000000........................000000000000000000000000000000000000000000000000111000///......///000111000000000000000000000000---....../////////////////////////////////////////////.........---------............////////////000000///////////////000---.........//////000000000000//////.........---......------------......111000000///...------------------............///++++++,,,---......------//////.........---------)))+++---///000000///.....................------///...---,,,,,,---...//////...---...000000000///////////////////////////......//////000000111111............///////////////000111222222111000/////////000000000000//////111111000000//////......+++,,,///111111000...---000000000000000///......000000000000000000000000/////////...............//////000000000000//////---///000000///......///////////////////////////------------------------........................111111000///////////////++++++*********)))))))))***)))(((''''''((()))***************)))))))))(((***+++++++++++++++***)))))))))))))))************(((((())))))******++++++++++++,,,,,,++++++***))),,,,,,++++++++++++******,,,+++)))((()))***---...---,,,***)))))))))***+++++++++,,,,,,,,,,,,++++++***++++++,,,,,,++++++***,,,+++*********+++,,,---+++***(((***,,,---,,,***,,,,,,+++++++++*********************************+++++++++************))),,,,,,,,,++++++*********+++(((&&&(((,,,///---***+++,,,---,,,+++***+++---************))))))))))))***++++++,,,,,,,,,++++++))))))*********+++++++++,,,,,,+++++++++*********+++++++++,,,,,,,,,------,,,,,,,,,+++++++++******...,,,++++++,,,,,,+++*********)))(((((((((((((((((()))***++++++,,,+++++++++***)))(((((()))***+++*********+++++++++++++++,,,+++***)))(((((()))***)))******+++,,,,,,++++++************++++++++++++***+++,,,,,,******+++,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++*********+++,,,,,,...---,,,+++++++++,,,,,,......------,,,,,,,,,,,,//////.........---------,,,,,,,,,,,,,,,,,,,,,,,,------------------------++++++,,,,,,---......///////////////....................................000000///...------,,,,,,000//////...------...000000/////////........................////////////000000////////////000000///////////////000000000---...//////////////////000000000000////////////........................000000000000000000000000000000000000000000000000111000///......///000111////////////////////////---....../////////////////////////////////////////////.........---------////////////////////////000000///////////////000............/////////000000/////////..................------------......000000000///...------------------............///------......///////////////.........------------+++,,,---/////////..............................///...------------...//////...---...///000///...///////////////////////////////////////000000000............///////////////000000111111000000/////////000000000000//////////////////.........---.........//////000000000000000000000000///......000000000000000000000000111111111111111111111111//////000000000000//////---///000000///......///////////////////////////000000000000000000000000........................111000000///////////////******))))))))))))((((((***)))'''&&&&&&''')))***************))))))))))))(((((()))***************))))))))))))************)))******************************+++***))))))(((+++******)))***+++,,,---,,,++++++++++++,,,------,,,,,,+++************+++******++++++++++++******)))******++++++*********,,,,,,+++*********+++++++++***)))***,,,,,,,,,+++***************)))))))))************************+++++++++************)))+++++++++++++++*********,,,******,,,///000---******+++,,,,,,******+++,,,************))))))))))))((()))***+++,,,---------***************+++++++++,,,+++++++++++++++******++++++++++++,,,,,,,,,,,,,,,,,,,,,++++++++++++***---+++******+++,,,***)))******)))((((((((())))))((()))***++++++,,,+++++++++***))))))))))))***+++,,,,,,,,,,,,++++++++++++++++++***)))))))))*********++++++,,,,,,,,,,,,,,,***++++++++++++,,,,,,,,,***+++,,,,,,******+++,,,++++++++++++++++++++++++,,,,,,+++*********++++++,,,,,,+++++++++,,,---...---,,,,,,,,,,,,+++++++++...............---------,,,,,,,,,,,,,,,,,,,,,,,,........................+++,,,,,,------.........------.........//////000........................111111000...---,,,+++***...111222000+++***---000////////////........................////////////000//////......//////000.........//////000000111000//////............///111111000000//////..............................000000000000000000000000000000000000000000000000000000////////////000000........................---......////////////////////////////////////////////////............---111111000000//////......000//////......///000000............////////////////////////..................------------......000000//////...------------------............///,,,,,,,,,,,,------------............------------------------------------........................///...------------...///000...---...//////...---////////////////////////000000//////////////////............////////////000//////......//////000//////000000000000//////............------------000000.........///111222000000000000000//////...000000000000000000000000//////////////////////////////000000000000//////---///000000///...//////////////////////////////111111111111111111111111////////////////////////000000//////......//////)))))))))(((((((((((((((+++***(((&&&&&&(((***+++*********)))))))))))))))(((((())))))))))))((((((((()))))))))************+++***************************++++++******)))(((,,,+++)))((((((***,,,---))))))***+++++++++++++++++++++++++++++++++++++++)))******++++++******))))))******++++++++++++***---,,,,,,++++++***************)))******************************************************++++++++++++++++++*********))))))+++++++++***************,,,***)))***,,,,,,***(((***+++,,,,,,******+++,,,------------,,,,,,,,,,,,))))))***+++,,,,,,,,,,,,***************************************************++++++++++++,,,,,,,,,++++++++++++++++++++++++'''&&&&&&''')))++++++*********))))))((())))))***+++++++++++++++***((((((************************---------,,,,,,++++++++++++*********************+++,,,,,,---------,,,,,,*********+++++++++,,,,,,***+++,,,,,,******+++,,,************************///...------,,,,,,,,,,,,******++++++,,,---......---,,,,,,,,,,,,,,,,,,,,,........................------------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------......---------.........//////........................---------...............---...///...,,,+++---//////////////////...................../////////////////////....../////////------......///000111111111000///---------...///111111000000//////..............................////////////////////////////////////////////////000000////////////000000........................---......////////////////////////////////////////////////...............111111111000//////......//////.........///000000.........//////////////////////////////...............------------....../////////......------------------............///...---------------......------------------------///...---,,,,,,,,,,,,------------........................------.........000...------...///...,,,////////////////////////000000000//////......---............////////////000///...------...///000//////000000000000//////........................000000/////////000000111//////000000000000//////////////////////////////---------------.........//////000000000000//////...///111111///...///000////////////////////////........................000000000000000000000000000//////.........//////((((((((((((((())))))))),,,+++)))(((((()))+++,,,))))))))))))))))))***************)))((('''&&&&&&((()))))))))************++++++++++++************+++++++++++++++******)))---,,,***(((((()))***+++((()))***+++,,,++++++***+++++++++,,,,,,,,,++++++)))******++++++******)))******+++,,,------,,,,,,,,,,,,,,,,,,+++******)))))))))))))))((((((((()))******++++++++++++++++++))))))*********++++++++++++++++++*********))))))************************---+++)))(((((()))*********+++,,,,,,+++***+++,,,///............---------***++++++,,,,,,++++++***************************(((((())))))))))))))))))*********+++++++++,,,,,,++++++++++++++++++++++++'''&&&&&&''')))++++++*********))))))))))))******+++++++++++++++***((((((******++++++++++++******---------,,,,,,+++++++++*********++++++++++++***,,,,,,,,,------,,,,,,+++))))))))))))*********+++***+++,,,,,,******+++,,,************************///...------,,,,,,,,,,,,)))***+++,,,---.........------------............---.....................------------------------++++++++++++++++++++++++,,,,,,,,,---------------............------------........................++++++,,,---...///000111+++***)))+++...///...---.........///////////////............//////////////////............//////,,,------...///000000111111000///---------...///111000000000/////////...//////////////////////////////////////////////////////////////////////////////000000000000//////........................---......///////////////////////////////////////////////////////////////111000000000//////.....................///000000///////////////..................///////////////......------------..................---------------------............///111111000//////000000111,,,,,,------------------///...---,,,,,,+++,,,,,,---------.........//////---..................---///...,,,---...///...,,,////////////////////////000000//////......------............////////////000///...------...///000//////000000000000//////////////////////////////...///000111111000...---//////000000000000///////////////////////////////////////000000111111111//////000000000000//////...000111111000//////000////////////////////////------------------------000000000000000000000000//////............//////(((((())))))))))))******+++++++++******+++++++++))))))))))))************++++++******)))'''&&&%%%))))))))))))******************++++++++++++++++++++++++,,,,,,++++++***))),,,+++***)))((())))))******++++++,,,---,,,,,,,,,***+++,,,,,,---,,,,,,,,,******++++++++++++*********+++,,,---------------++++++,,,,,,,,,+++******(((*********((('''((()))*********+++++++++++++++)))))))))***++++++,,,,,,+++++++++************))))))))))))***************...---***((((((***,,,...+++,,,------++++++,,,---,,,,,,,,,,,,++++++++++++++++++,,,,,,,,,++++++***+++++++++***************((((((((()))))))))))))))************++++++++++++***++++++++++++,,,,,,,,,---+++******+++,,,***)))******)))))))))***++++++((()))***++++++,,,++++++******+++,,,,,,+++******,,,,,,,,,,,,++++++++++++)))***++++++,,,+++++++++,,,,,,,,,,,,,,,++++++***(((((()))))))))************+++,,,,,,******+++,,,++++++++++++++++++++++++,,,,,,+++*********++++++)))***+++,,,---...------------...............///---------...............------------------------++++++++++++++++++++++++------------------------///.........------,,,,,,................................................+++((((((+++000222000,,,.........///////////////............///////////////......------......///---------......//////000000//////............////////////000000000000000////////////////////////000000000000000000000000000000000000000000000000//////000000000000//////........................---......///////////////////////////////////////...////////////000000000.........///////////////------------...///000000///////////////..................///////////////......------------......---------------------------------............///...---,,,+++++++++,,,---,,,,,,,,,,,,------------...---------,,,,,,++++++,,,,,,------.../////////------...//////...---------,,,+++,,,...///...---//////////////////////////////..............................////////////000//////......//////000//////000000000000///////////////000000000000000,,,...000222111///---+++...//////000000000000000000000000000000000000000------......//////000000//////000000000000//////...000111111000//////000////////////////////////////////////////////////////////////////////////......------......//////)))))))))*********++++++)))***++++++++++++***)))((()))))))))************************))))))((('''))))))))))))*********************++++++,,,,,,,,,*********+++***))))))((())))))))))))*********************+++++++++,,,,,,***+++,,,---------,,,,,,++++++,,,,,,,,,,,,++++++))))))+++,,,,,,---------)))***+++,,,,,,,,,++++++***,,,---,,,)))((()))+++)))))))))*********++++++((())))))***++++++,,,,,,+++++++++************)))((()))))))))*********+++,,,,,,++++++***+++,,,---,,,---......,,,,,,---...++++++*********))))))))))))***++++++,,,,,,,,,,,,+++++++++*********)))))))))*********++++++++++++************++++++++++++******+++++++++,,,,,,,,,...,,,++++++,,,,,,+++*********))))))******+++,,,((()))***++++++,,,++++++***++++++,,,,,,++++++************+++++++++++++++)))***+++,,,,,,,,,++++++++++++,,,,,,+++******)))))))))*********+++++++++***+++,,,,,,******+++,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++*********+++,,,,,,******,,,------------,,,,,,,,,,,,------.........---------.........//////........................------------------------------------------------,,,,,,------------............................../////////...---------,,,++++++---...000000000///............/////////000............///////////////......------......///........................---...//////////////////......//////000000111111////////////////////////000000000000000000000000000000000000000000000000...///000111111000///...////////////////////////---......///////////////////////////////////////.../////////000000000000,,,,,,------......//////------------...///000000000/////////......................../////////000......------------......---------------------------------............///,,,***)))''''''((()))***++++++,,,,,,,,,---------+++,,,---------,,,+++***,,,,,,------...//////000------...//////...------,,,+++***,,,...000///...////////////////////////------..............................///////////////000000111111000000/////////000000000000//////........./////////000000---...//////...---,,,+++......///000000000000000000000000000000000000000******+++,,,,,,---......//////000000000000/////////000222222000///000111////////////////////////////////////////////////...........................------------...///000))))))******+++++++++,,,'''(((***,,,,,,***((('''(((((())))))*********+++((())))))***************))))))))))))************))))))***+++,,,,,,------)))))))))))))))(((((('''&&&'''(((***++++++++++++((((((''''''(((((()))***)))***,,,---...---,,,,,,+++,,,,,,------,,,,,,+++(((((()))++++++,,,,,,,,,((()))+++,,,---,,,,,,+++,,,...///...+++)))+++---'''((((((((())))))******((())))))***++++++,,,,,,+++++++++************)))(((((())))))*********+++''')))+++,,,+++******+++---...//////------...///+++++++++************)))'''((()))+++---.........++++++++++++******))))))+++++++++,,,,,,---------)))************+++++++++*********++++++,,,,,,,,,)))(((((()))+++------,,,******))))))***+++,,,,,,++++++,,,++++++***)))(((***+++,,,------,,,+++***)))))))))******++++++,,,)))***+++,,,---,,,,,,++++++++++++++++++***)))(((******+++++++++,,,,,,,,,***+++,,,,,,******+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---......///***+++,,,---...---,,,++++++++++++,,,,,,------------------.........//////........................////////////////////////------------------------***++++++,,,---//////000................................................,,,///333222000...///111---.........//////000000............/////////000.........------........................---------,,,---///000000000//////------...///000111222222000000000000000000000000000000000000000000000000000000000000000000000000...///000111111000///...000000000000000000000000---......///////////////////////////////////////.../////////000000111111***++++++,,,---...//////,,,,,,,,,---...///000111000000//////.........------.........//////000000.........------.........---------------------------------.........//////000///---++++++,,,---...+++++++++,,,,,,---------***+++---......---+++***,,,,,,------...///000000,,,---...//////...---,,,+++******,,,...000000///////////////////////////,,,------....../////////............/////////000///000111222222111000/////////000000000000//////---------........./////////...---,,,+++,,,,,,---......///000000000000000000000000000000000000000------......///000111111//////000000000000/////////000222222000///000111////////////////////////////////////////////////........................---------------...///000+++***)))'''''')))***+++******************************+++++++++******)))))))))))))))))))))))))))******++++++++++++******---,,,,,,+++*********+++)))))))))***+++++++++,,,)))))))))))))))))))))))))))***+++,,,---,,,++++++'''((()))***,,,.../////////---,,,+++,,,,,,***)))+++***)))))))))***,,,,,,++++++++++++++++++++++++))))))***++++++++++++***,,,+++******)))***************+++++++++,,,,,,,,,******+++++++++,,,,,,,,,)))'''&&&'''+++---,,,+++,,,,,,,,,,,,,,,,,,,,,,,,////////////......---,,,+++++++++++++++***)))(((+++++++++*********))))))+++,,,---,,,***)))***++++++++++++++++++++++++++++++++++++***************+++++++++*********)))))),,,,,,,,,,,,+++***))))))*********)))))))))))))))***++++++,,,,,,++++++***///...------++++++***))),,,,,,,,,++++++*********)))(((((((((((((((((()))+++++++++*********))))))((()))***+++,,,---------//////...---,,,******)))...------,,,,,,++++++***((()))+++---------+++***+++++++++,,,,,,---------,,,,,,------,,,***((('''((())),,,.........---,,,,,,,,,,,,,,,,,,,,,,,,,,,((()))***,,,---...//////////////////////////////////////////////////////.........000111111...,,,....................................////////////////////////////////////+++---000222222000---+++////////////////////////////////////////////////000000000000000000000000////////////////////////000000000000000000000000000000000000000000000000000000000000000000000000222111000//////000111222111111111111000///---------......//////...------....................................////////////////////////////////////////////////////////////222000---******,,,...000,,,------...///000111111000000//////.........---......///////////////..............................---+++******+++---...,,,------......------,,,..............................////////////......------............------////////////////////////000000//////.........---............////////////......------------......000000000000111111111111////////////////////////......///000000000000000------......//////000000000000000000000///......111111000000//////.........///000111111000///.../////////111333333000...111111111111111000//////111111000000//////......000000000000000000000000000///...------...///000............////////////,,,+++***))))))***+++,,,************************+++,,,,,,------,,,,,,+++))))))))))))))))))))))))******++++++++++++******,,,+++******)))))))))***)))))))))))))))*********************************)))***+++,,,,,,,,,++++++*********++++++,,,,,,,,,---------...000111000...,,,+++*********+++------******************************++++++,,,,,,,,,+++---,,,+++***))))))))))))******+++++++++,,,,,,,,,*********+++++++++,,,,,,(((&&&$$$%%%(((***)))((())))))))))))))))))))))))+++++++++++++++***))))))++++++++++++++++++******,,,++++++++++++*********+++,,,---,,,***)))***+++++++++++++++++++++++++++******************+++++++++++++++*********))))))***++++++,,,,,,,,,++++++***)))))))))))))))))))))***++++++,,,,,,++++++***************++++++++++++,,,,,,,,,+++++++++******......---,,,,,,---......+++++++++*********)))))))))***++++++,,,,,,,,,,,,++++++++++++,,,,,,,,,,,,---,,,,,,,,,,,,+++++++++***+++,,,------,,,,,,+++++++++++++++,,,,,,------+++,,,---------,,,***)))***+++---/////////...---,,,,,,,,,,,,,,,,,,,,,,,,.........---,,,+++***)))........................------------------------,,,+++***+++------+++***....................................////////////////////////////////////,,,...000111111000...,,,////////////////////////////////////////////////////////////////////////////////////////////////000000000000000000000000000000000000000000000000000000000000000000000000111111000//////000111111111111111111000///...---............................................................////////////////////////////////////////////////////////////222000...,,,,,,---...000------......//////000000000/////////............------......///......---------------------------...---,,,++++++,,,---...,,,------......------,,,...............---------.........//////.........,,,,,,------------,,,,,,........................///.........------------............////////////......------------....../////////000000000111111////////////////////////......///000000000000000.........///////////////000000000000000///......111000000000/////////...//////000000000000//////......///000111222333444111111111111111000//////111000000000/////////...000000000000000000000000//////............//////............////////////---,,,+++******+++,,,---************************++++++,,,,,,,,,,,,,,,+++))))))))))))))))))))))))******++++++++++++******+++***))))))((())))))))))))))))))))))))(((((((((************************)))***+++,,,,,,,,,,,,+++------,,,,,,+++******)))))))))***,,,...///---+++,,,,,,++++++,,,,,,---...************************))))))*********+++++++++...---,,,******)))))))))******+++++++++,,,,,,,,,*********++++++++++++,,,,,,***)))***+++,,,+++***(((((((((((((((((((((((())))))))))))))))))((('''***++++++,,,,,,,,,,,,+++,,,,,,,,,,,,+++++++++++++++,,,---,,,+++***+++,,,++++++++++++++++++++++++)))))))))***+++++++++,,,+++++++++***************))))))***+++,,,,,,,,,,,,))))))))))))))))))*********++++++,,,,,,++++++***++++++++++++,,,,,,,,,,,,,,,,,,,,,++++++++++++***---,,,***))))))***,,,---+++++++++******************++++++,,,,,,,,,++++++*********+++++++++,,,,,,++++++++++++,,,,,,,,,,,,------------,,,,,,,,,,,,***+++++++++++++++,,,,,,,,,,,,---......---,,,+++------///000000///...---,,,,,,,,,,,,,,,,,,,,,,,,/////////...,,,+++)))(((........................------------------------,,,***((()))***+++******....................................////////////////////////////////////......////////////......////////////////////////////////////////////////////////////////////////////////////////////////000000000000000000000000000000000000000000000000000000000000000000000000111000000//////000000111000111111000000///...---///...---,,,------...///////////////////////////............////////////////////////////////////////////////////////////111000///.........//////..................//////////////////............------............------,,,,,,,,,,,,,,,,,,,,,,,,///...---,,,,,,---...///,,,------......------,,,///.........------,,,,,,------............------+++,,,,,,,,,,,,,,,,,,+++........................---------------,,,,,,,,,............////////////......------------...............////////////000////////////////////////......///000000000000000///////////////.........000000000000000//////...000000000000////////////000000////////////000000---...///---++++++///222000111111111111000000///000000000000////////////000000000000000000000000......////////////..................////////////,,,+++************+++,,,************************((())))))************)))))))))))))))))))))))))))******++++++++++++******+++******)))))))))******++++++******))))))((((((******************************++++++,,,,,,,,,,,,------,,,,,,+++***))))))*********+++,,,+++(((&&&++++++++++++,,,,,,------************************((((((((((((((()))******,,,,,,+++*********++++++******+++++++++,,,,,,,,,************++++++++++++...---------------,,,+++++++++++++++++++++++++++******++++++++++++*********+++,,,,,,---------------------,,,,,,,,,+++++++++,,,------+++***+++---++++++++++++++++++++++++(((((()))***+++,,,,,,,,,************************)))***+++,,,,,,,,,,,,,,,)))))))))))))))************++++++,,,,,,++++++***111000///...---,,,,,,+++++++++++++++++++++++++++***)))'''%%%%%%''')))***************************++++++,,,,,,,,,+++******,,,,,,++++++***)))(((((()))******+++,,,,,,------///...---,,,,,,,,,,,,,,,++++++++++++++++++++++++....../////////---,,,+++....../////////...------------------------------+++,,,------------------........................///////////////////////////,,,******+++---------....................................//////////////////////////////////////////............//////////////////////////////////////////////////////////////////////////////////////////////////////000000000000000000000000000000000000000000000000////////////////////////000000000//////000000000000000000000000///......///...---+++,,,---///111000000000000000000000000............////////////////////////////////////////////////////////////000000000000000//////........................---///////////////............////////////...------,,,,,,,,,,,,,,,,,,,,,,,,///...------------...///,,,------......------,,,///......------,,,,,,+++,,,,,,------------,,,,,,,,,,,,------------,,,,,,........................------------------------............////////////......------------......---------.........//////////////////////////////......///000000000000000000000//////......------//////000000000000//////000000000000////////////111000///......///000111000444555222,,,))),,,///000000111111111111000///000000000000////////////////////////////////////---...///000000///...---............////////////******))))))))))))******************************'''((())))))************))))))))))))))))))))))))******++++++++++++******++++++*********++++++,,,,,,,,,,,,++++++*********************************+++***++++++++++++,,,,,,,,,,,,++++++++++++++++++---,,,,,,---......,,,))))))******+++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,***))))))))))))***+++,,,************+++,,,---...******+++++++++,,,,,,,,,))))))*********+++++++++***+++++++++***)))((((((,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,,,,,,,+++***+++,,,,,,---------------------,,,,,,,,,+++++++++,,,------,,,+++,,,---++++++++++++++++++++++++(((((()))***+++,,,,,,,,,************************,,,,,,,,,,,,,,,+++***)))(((((())))))***************++++++,,,,,,++++++***111000///...---,,,,,,+++++++++++++++++++++++++++---,,,***))))))***,,,---************************++++++,,,,,,,,,+++******,,,++++++******)))))))))((()))******+++,,,------///...---,,,,,,,,,,,,,,,++++++++++++++++++++++++000000000000///---+++***---............------,,,------------------------******,,,---.../////////........................////////////////////////000...,,,+++---...///.......................................////////////////////////////////////000///...------...///000////////////////////////////////////////////////......................../////////////////////////////////////////////////////////////////////////////////////////////////////////000000////////////000000000000//////...///...,,,+++,,,---000111000000000000000000000000............////////////////////////////////////000000000000000000000000///000111111111000..................------------.........///////////////000000000000000///...---------------------------.........------.........,,,------......------,,,......------,,,,,,,,,,,,,,,,,,------------,,,,,,------............------..........................................//////............////////////......------------......------------............////////////////////////......///000000000000000000000//////......------//////000000000000//////////////////000000000000111000///......///000111111666:::999444//////000///000000111111111000000////////////000000000000////////////////////////---...///000000///...---............////////////))))))))))))))))))))))))************************))))))***+++,,,,,,,,,,,,))))))))))))))))))))))))******++++++++++++******++++++++++++++++++,,,---,,,,,,,,,,,,,,,+++++++++++++++++++++++++++++++++++++++******++++++,,,---***++++++++++++,,,,,,,,,(((((('''))),,,......---((()))***++++++++++++***---------------------------,,,+++++++++,,,...///++++++***++++++,,,---...******+++++++++,,,,,,,,,)))))))))************+++***+++------+++)))))))))************************)))***++++++,,,+++++++++***++++++,,,,,,,,,,,,+++,,,,,,,,,,,,+++++++++++++++,,,------,,,,,,---...++++++++++++++++++++++++)))))))))***+++++++++,,,***************+++++++++,,,,,,,,,,,,+++***))))))((((((((()))******++++++***++++++,,,,,,++++++***++++++++++++,,,,,,,,,,,,***++++++++++++,,,,,,,,,,,,,,,++++++++++++,,,,,,***************+++++++++***++++++,,,,,,,,,++++++((())))))***+++,,,------)))))))))***+++,,,,,,---------------,,,,,,,,,,,,------,,,,,,,,,,,,,,,+++//////000000///---+++***------------------......------------------------------............------------------------------------------------------///---,,,,,,---......---....................................//////////////////////////////////////////............//////////////////////////////////////////////////////........................////////////////////////////////////////////////////////////////////////000000000000000000000000...//////000000//////...//////000000000000//////------,,,,,,---...000111////////////////////////............////////////////////////////////////000000000000000000000000//////000000000///...---------------------...............///////////////000000000000///...------........................------------------------,,,------......------,,,,,,,,,,,,,,,,,,,,,------------............---------......//////......---------------------------.........///////////////............////////////......------------......---------............///////////////////////////......///000000000000000///////////////............//////000000000000000////////////000000000000000000////////////000000'''---333555333111///000///000000111111111111000////////////000000000000000000000000000000000000......////////////..................////////////*********++++++*********************************((()))***+++,,,,,,,,,,,,))))))))))))))))))))))))******++++++++++++*********************+++,,,,,,+++++++++++++++,,,,,,,,,++++++++++++++++++++++++++++++*********+++,,,---++++++++++++++++++++++++'''%%%$$$%%%'''***,,,,,,)))***+++,,,,,,,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,+++***)))***+++---......---,,,+++++++++++++++******+++++++++,,,,,,,,,))))))))))))***************,,,//////---++++++,,,)))))))))))))))))))))))))))******+++,,,,,,++++++++++++++++++++++++******,,,++++++++++++*********+++,,,------,,,,,,---///++++++++++++++++++++++++******************++++++))))))*********+++++++++++++++,,,,,,,,,++++++***'''(((((()))******++++++***++++++,,,,,,++++++***************++++++++++++******+++++++++,,,,,,,,,((()))************)))((())))))*********+++++++++)))***++++++,,,,,,,,,,,,))))))***+++,,,---......))))))******++++++,,,,,,***+++,,,------,,,,,,+++.........---------,,,,,,,,,,,,......///...---,,,------------...///000000..............................//////...---,,,,,,------------------------------------------------...---,,,---//////---,,,....................................////////////////////////////////////////////////////////////////////////////////////////////////////////////........................////////////////////////////////////////////////////////////////////////000000000000000000000000......///000000///......//////000000000000//////,,,,,,------...//////000....................................////////////////////////////////////000000000000000000000000/////////............---,,,,,,,,,------...................../////////000............---,,,+++***------------------------,,,,,,------------,,,,,,,,,------......------,,,+++++++++,,,,,,------............//////.........,,,------......------,,,---------------------------------....../////////............////////////......------------......---............/////////////////////////////////......///000000000000000.........///////////////......///000000000000000.../////////000000000111//////000000000000//////$$$&&&***...//////......//////000111111111111111.../////////000000000111000000000000000000000000//////............//////............////////////***++++++,,,,,,++++++***************************&&&&&&((())))))*********))))))))))))))))))))))))******++++++++++++******))))))((())))))***++++++)))))))))***+++++++++,,,++++++++++++++++++++++++,,,+++*********+++,,,------,,,,,,++++++*********...+++((('''(((+++,,,---***+++,,,---...---,,,,,,++++++++++++++++++++++++***)))'''&&&'''(((***+++111000...,,,+++***))))))******+++++++++,,,,,,,,,))))))))))))************%%%))),,,,,,***(((((()))***************************+++,,,---------------+++++++++++++++***)))(((+++++++++*********))))))+++,,,------,,,,,,...///+++++++++++++++++++++++++++++++++***************))))))******++++++++++++)))***++++++,,,,,,,,,,,,'''(((((()))***++++++++++++++++++,,,,,,+++++++++///......---,,,+++***)))*********++++++,,,,,,,,,((()))+++------+++)))((())))))******++++++++++++((()))***+++,,,---------------,,,,,,,,,,,,,,,,,,***************+++++++++((()))+++---------+++***/////////......---------((()))+++---////////////............///000222222........................------...............---------------------------////////////////////////.........000111111...,,,..................................../////////000////////////////////////......////////////......////////////////////////////////////////////////........................////////////////////////////////////////////////////////////////////////000000000000000000000000---...///000000///...---//////000000000000000///+++,,,---...////////////..................................../////////000////////////////////////000000000000000000000000//////...------------...++++++,,,,,,---...//////---.........//////000000,,,---,,,,,,+++***)))(((,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,------,,,,,,+++,,,------......------,,,)))***+++,,,------...///......////////////......+++,,,,,,------,,,,,,+++------------------------,,,,,,,,,------...................../////////000.........------..................////////////000////////////////////////...//////000000000000000---.........//////000000......///000000000000000.../////////000000111111...///000111111000///...,,,,,,,,,...111222111000//////000111111111111111.../////////000000111111000000000000000000000000000///...------...///000............/////////000******))))))((((((''''''%%%'''***,,,,,,+++,,,---))))))))))))))))))))))))+++++++++******)))))))))(((((((((((('''''''''''')))))))))((())))))***+++++++++++++++++++++++++++++++++***************+++))))))***---///...+++(((,,,,,,,,,---------......---,,,***)))))))))******************************)))))))))***+++++++++,,,)))******)))'''&&&'''(((+++++++++*********)))))),,,+++++++++******))))))******++++++++++++******((()))***++++++***(((((())))))))))))))))))***+++,,,+++*********+++------+++,,,,,,---,,,+++***)))++++++++++++++++++++++++++++++,,,---...............---+++)))(((((()))))))))***+++,,,,,,+++***)))))))))***))))))***,,,///...---,,,,,,,,,,,,---...)))))))))))))))******+++)))))))))***++++++,,,,,,)))************+++++++++222...***)))+++,,,,,,***,,,,,,,,,+++,,,,,,------,,,,,,,,,++++++*********,,,,,,,,,,,,,,,,,,,,,,,,))))))))))))(((((((((((())))))***+++,,,------...((()))+++---......------***+++,,,---...---,,,+++---------,,,,,,+++++++++000000//////.........---,,,,,,,,,---------......///...---,,,,,,,,,,,,,,,---------------------------,,,+++,,,...///...---,,,---...///000000000000,,,---------......//////---------............///,,,,,,,,,,,,,,,,,,,,,,,,......////////////......////////////000000000000////////////////////////////////////////////////000000////////////000000000000000000000000000000////////////000000000000////////////////////////000000000000000000000000000000000000000000000000---.........//////000000........................---...000///...---...000000000000000000000000000111///...------...///111////////////////////////........................111111000000///...,,,,,,........................000000000000///...---,,,,,,,,,,,,,,,,,,,,,,,,,,,------------------------+++,,,,,,------,,,,,,+++...........................,,,***))))))+++...000////////////////////////+++++++++,,,,,,,,,------//////.........---------000//////.........//////111111000000//////......---------............///666555333111///---,,,,,,---......///////////////111111000000//////......////////////............////////////////////////,,,---...000111111111111//////............//////---------------...///000////////////////////////---------............///,,,,,,---.../////////...******))))))(((((((((((()))+++------,,,+++++++++************************......---------,,,,,,,,,))))))))))))))))))))))))***))))))))))))***++++++++++++++++++++++++++++++++++++***************++++++...000000---+++++++++,,,,,,,,,------------...---,,,***)))))))))***+++***************************************++++++++++++,,,,,,+++***))))))+++,,,,,,,,,,,,++++++******++++++*********)))))))))******++++++++++++******))))))************))))))''''''''''''((()))***+++,,,++++++***+++,,,---...+++,,,,,,,,,,,,+++***)))+++++++++++++++++++++++++++,,,---------------------,,,+++))))))))))))***)))***++++++++++++***)))((()))***))))))***,,,...---,,,++++++++++++,,,---***************++++++,,,***++++++++++++,,,,,,,,,)))************+++++++++111...+++***+++,,,+++***+++******)))******++++++,,,,,,,,,+++++++++******,,,,,,,,,,,,,,,++++++++++++++++++*********))))))*********************+++***++++++,,,------------+++,,,---.........------.........---------,,,,,,000/////////.........---,,,,,,,,,---------......///...---,,,,,,,,,,,,------------------------------,,,+++,,,...///...---++++++,,,---...........................------------------............///------------------,,,,,,......////////////......------------............//////////////////////////////////////////////////////............//////////////////////////////////////////000000000000////////////////////////000000000000000000000000000000000000000000000000............/////////000........................000111222222000///000111000000000000000000000000000///...------...///000////////////////////////........................)))***+++---.../////////........................////////////...---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------------------,,,,,,,,,------,,,,,,,,,........................---,,,+++***+++,,,...///------------------------,,,,,,,,,,,,------------//////.........---------//////............//////000000000000//////...............////////////000333222111000///.........---......///////////////000000000000//////......////////////............////////////////////////...//////000000000000/////////............//////000///..................////////////////////////---------............///......//////000/////////***))))))))))))(((((((((,,,...///...+++))))))***+++++++++++++++++++++++++++++++++***************++++++++++++++++++++++++***************+++,,,,,,,,,,,,++++++************+++***************++++++,,,000333000***''')))---,,,,,,,,,,,,------------,,,,,,+++************++++++++++++++++++++++++++++++++++++******************,,,,,,,,,***)))***+++---------,,,,,,,,,,,,+++******))))))))))))((((((******++++++++++++************)))))))))******+++(((((((((((()))***+++,,,,,,++++++++++++,,,------++++++,,,,,,,,,+++******++++++++++++++++++++++++,,,,,,---------,,,++++++++++++******)))******+++)))***++++++++++++***)))((()))******)))***,,,...++++++************+++++++++++++++***+++,,,,,,------,,,,,,,,,,,,+++++++++)))************+++++++++///---,,,,,,,,,,,,+++)))++++++******)))******+++,,,,,,,,,++++++++++++***++++++++++++++++++++++++---------,,,,,,,,,++++++*********)))))))))((((((,,,,,,,,,++++++,,,------,,,,,,---...............//////............------/////////...............,,,,,,,,,---------............---,,,,,,,,,---------------------------------,,,+++,,,...///...---)))***+++,,,,,,---,,,,,,//////......---,,,,,,,,,---------............///------..................------............------------------............////////////////////////////////////////////////......------------......////////////////////////////////////000000000000////////////////////////000000000000000000000000000000000000000000000000............////////////........................222333333222000///000111000000000000000000000000000///...------...///000////////////////////////........................((()))***---...000000111.......................................---,,,+++,,,,,,,,,,,,,,,,,,,,,,,,------------------------,,,,,,,,,,,,,,,,,,,,,,,,........................,,,,,,,,,,,,,,,---------------------------------,,,------------........................---------///...............//////000000000////////////......////////////000000000...............///000000---......///////////////000000000////////////...////////////............////////////////////////000000000000000///......//////............//////222111000///............////////////////////////---------............///000000000000000000///...)))))))))))))))))))))))),,,---...,,,***)))))))))++++++++++++++++++++++++))))))))))))))))))))))))******+++++++++++++++,,,++++++******++++++,,,---,,,,,,++++++******))))))*********)))******+++,,,+++---...+++'''&&&))),,,++++++,,,,,,,,,---------++++++++++++++++++++++++++++++++++++++++++++++++,,,+++++++++***)))))))))(((*********(((((()))***,,,,,,,,,,,,,,,,,,,,,+++)))))))))(((((((((((((((******++++++++++++******+++***)))((()))***+++,,,,,,,,,++++++,,,,,,------************++++++,,,,,,++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,---,,,,,,+++***)))))))))*********++++++,,,*********++++++*********(((***+++*********+++---+++++++++******++++++++++++************+++,,,,,,------,,,++++++***))))))))))))*********+++++++++---------------,,,+++***------,,,,,,++++++,,,,,,++++++++++++++++++++++++***************+++++++++------------,,,,,,,,,,,,******************))))))...---,,,+++***+++,,,---,,,,,,,,,---------------............------------........................,,,,,,,,,---------.........------,,,,,,,,,---------------------------------,,,+++,,,...///...---******+++,,,,,,,,,,,,,,,...------------------------------............///............////////////------............------////////////000000000000///////////////////////////////////////////////////......------......///////////////////////////////////////000000000000////////////////////////////////////////////////////////////////////////.........///////////////........................000111222111///......///////////////////////////000///............///000////////////////////////..............................///////////////...........................------......---,,,,,,+++---------------------------------------------------------,,,,,,---------........................++++++---.........---,,,////////////////////////---------.........//////..............................---------...//////////////////////////////............////////////---------------...///000---......///////////////////////////////////////////////////............//////////////////////////////000000000000////////////............//////111111000000000000000000////////////////////////---------............///000000000000000///...---))))))))))))************)))***+++***(((((()))+++++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,)))))))))*********++++++++++++******++++++,,,---+++++++++******)))))))))******))))))***++++++,,,,,,***)))((()))***+++++++++++++++,,,,,,,,,------+++++++++,,,,,,,,,++++++++++++++++++++++++++++++,,,+++++++++***)))))))))((()))******)))((()))+++************++++++++++++((((((((((((((()))))))))******++++++++++++******+++***)))))))))***,,,---///...---,,,++++++++++++((())))))***************+++++++++++++++++++++,,,+++++++++++++++++++++++++++,,,,,,,,,+++***))))))((())))))***+++++++++,,,+++******************+++(((***++++++***)))***,,,++++++,,,,,,,,,,,,++++++)))))))))))))))***++++++,,,,,,+++***)))(((''''''))))))*********++++++++++++,,,------,,,,,,++++++...---,,,,,,+++++++++,,,++++++++++++++++++++++++))))))*********+++++++++---,,,,,,,,,++++++++++++))))))******+++,,,,,,---...---,,,+++***+++,,,---+++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------...............,,,,,,,,,---------......------,,,,,,,,,------...---------------------------,,,+++,,,...///...---+++,,,,,,------------,,,***++++++,,,---...//////---------............///.........//////000000000---..................---////////////000000000000////////////////////////////////////////////////000//////////////////000........................////////////000000000000000000000000000000000000///////////////////////////////////////////////////////////////.........///////////////////////////000111000...---.../////////////////////////////////............//////////////////////////////........................000000000000///...---,,,........................---------...------,,,+++------------------------------------------------...------,,,,,,------...........................***,,,---//////...---,,,////////////////////////---------.........//////---.....................---------------...//////.............../////////,,,,,,,,,---------............---------------...---......///////////////.............../////////////////////............////////////////////////---...///000111111111111//////............///////////////000000222333333////////////////////////---------............///////////////......---,,,)))))))))************+++'''((()))(((((((((***,,,++++++++++++++++++++++++)))************+++++++++''''''(((((()))************************+++,,,,,,************************))))))))))))***+++,,,,,,...+++)))))),,,...---,,,++++++++++++,,,,,,,,,,,,***+++,,,,,,---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++******************+++---,,,++++++,,,---)))***************++++++(((((())))))))))))************++++++++++++*********************+++,,,---,,,,,,+++***))))))))))))((()))******+++*********++++++******++++++,,,---++++++++++++++++++++++++******+++++++++***))))))((()))***+++++++++++++++++++++***))))))***++++++(((***,,,,,,***)))***+++++++++,,,,,,,,,,,,++++++))))))(((((())))))***+++++++++***)))(((((('''''')))************++++++++++++,,,------++++++,,,---,,,,,,+++***))))))))))))***++++++++++++,,,,,,,,,))))))******+++,,,,,,,,,,,,,,,+++++++++*********))))))***+++,,,---......,,,,,,,,,++++++,,,------***************+++,,,,,,+++++++++,,,,,,,,,,,,------------------.........,,,,,,,,,---------......------,,,,,,,,,---......---------------------------,,,+++,,,...///...---------............------))))))***,,,---...///000---------............///------......///000000000......////////////......------------............////////////////////////////////////////////////000000////////////000000........................////////////000000000000000000000000000000000000000000000000000000000000000000000000000000000000///////////////.........///////////////////////////111222111000///000222000000000000000000000000////////////////////////////////////////////////........................+++,,,------...---------........................------............------------------------------------------------------///...---,,,,,,---...///........................+++,,,---//////......---------------------------,,,------------.........---------...............,,,,,,,,,,,,---...//////---............/////////++++++,,,,,,,,,---------000///...------------------......///////////////---............/////////////////////............////////////////////////,,,---...000111111222222//////............//////.........///000222444555////////////////////////---------............///---...............---,,,))))))*********+++++++++((()))))))))((((((***,,,************************''''''''''''(((((())))))''''''(((((()))******+++***))))))))))))***++++++(((((())))))******++++++))))))))))))***+++,,,---,,,,,,,,,+++******+++,,,***++++++++++++,,,,,,,,,***+++,,,---------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,***************+++++++++***+++---,,,,,,+++---...*********++++++,,,,,,,,,)))))))))*********++++++******++++++++++++******((()))***+++,,,,,,,,,,,,)))))))))))))))***++++++)))***+++,,,---,,,,,,+++++++++*********+++,,,---++++++++++++++++++++++++((()))******************))))))***+++++++++******++++++***))))))***++++++(((***,,,,,,+++))))))***)))***+++,,,,,,+++***)))******))))))******+++,,,+++*********))))))(((((()))************+++++++++,,,------,,,******,,,///---,,,+++***))))))))))))******+++++++++,,,,,,,,,*********+++,,,---------,,,,,,,,,+++++++++******))))))******++++++,,,,,,***++++++,,,------------++++++*********+++,,,---,,,,,,,,,,,,------......,,,,,,,,,------.........,,,,,,,,,---------......,,,,,,,,,,,,,,,---...///---------------------------,,,+++,,,...///...---------............------******+++,,,------......---------............///,,,,,,---......///000000//////000000000000//////------------............/////////////////////////////////////////////////////////....../////////........................////////////000000000000000000000000000000000000000000000000000000000000000000000000000000000000000/////////............////////////////////////---...000000//////000222000000000000000000000000......////////////......////////////////////////........................***+++,,,---....................................---....../////////..............................------------------------///...---,,,,,,---...///........................,,,------...............------------------------,,,,,,,,,,,,---------------------.........//////,,,,,,,,,,,,---...///000---------.........//////,,,,,,,,,---------......000///......---.........---......///////////////---------.........//////////////////............////////////////////////......///000000000000000//////............//////.........///000111222333////////////////////////---------............///---......////////////...))))))******+++++++++++++++++++++***((((((***,,,))))))))))))))))))))))))))))))******++++++,,,,,,'''(((((()))******++++++)))))))))((()))******+++''''''((()))***+++,,,,,,))))))))))))***+++,,,---(((,,,///,,,'''$$$&&&*********+++++++++,,,,,,,,,)))***,,,---...---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,))))))******+++++++++,,,((()))++++++******+++,,,+++++++++,,,,,,---------))))))******+++++++++,,,******++++++++++++******((()))+++,,,------,,,,,,(((((()))***+++---///000+++,,,---...///...------++++++*********+++---...++++++++++++++++++++++++'''((()))***************)))***+++,,,,,,+++***))),,,+++***))))))***+++,,,(((***,,,,,,+++))))))***((()))***++++++***)))(((++++++******++++++,,,---+++++++++***************)))************+++++++++,,,------+++))))))---000///...---,,,++++++++++++*********++++++,,,,,,,,,******+++,,,------......------,,,,,,,,,+++++++++************))))))))))))(((***+++---......---------,,,+++++++++,,,---...---------.........//////,,,,,,,,,------.........,,,,,,,,,---------......,,,,,,,,,,,,,,,---...///---------------------------,,,+++,,,...///...------------......---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------.........//////,,,,,,,,,---...//////000000000111111111111000000////////////000000000111////////////////////////////////////////////////.........------.................................////////////000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000//////.........---000000000000000000000000)))+++,,,---------///000000000000000000000000000......////////////......////////////////////////........................---...//////000/////////..............................///////////////...........................------------------------000///---,,,,,,---///000........................------------......//////////////////////////////+++++++++,,,,,,,,,---------------.........//////+++++++++,,,---...///000---------.........//////---------.........////////////.........///000000---......///////////////---------.........//////000/////////............////////////////////////000000000000000//////...//////............//////000///////////////000111////////////////////////---------.........//////......///000000111000000,,,,,,++++++***)))((((((''''''((()))***++++++,,,((((((((((((''''''''''''*********))))))))))))))))))************+++++++++---,,,,,,++++++*********,,,,,,+++***)))((('''''')))***+++,,,,,,+++)))(((+++*********,,,---,,,+++------,,,,,,+++***))))))---,,,******+++,,,+++***)))***+++,,,---,,,++++++.........,,,++++++---///+++++++++*********))))))++++++***)))((('''&&&&&&((()))+++,,,---,,,,,,+++'''(((***+++,,,,,,++++++***++++++,,,,,,++++++***************************++++++,,,------...//////,,,,,,,,,+++++++++******)))))))))))))))*********)))************+++++++++---,,,,,,++++++,,,,,,---+++******+++......+++(((************))))))))))))+++,,,,,,---,,,+++***))))))************+++++++++++++++,,,,,,+++***(((''')))***,,,------,,,***)))++++++++++++++++++++++++---,,,***)))))))))*********)))(((''''''((()))***+++***************++++++))))))))))))))))))))))))---***((()))+++...---,,,(((((()))***++++++,,,,,,++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,***,,,------,,,++++++,,,,,,,,,,,,++++++*********,,,,,,------...------,,,,,,---...///...---,,,+++..................------------............------------------------------------------------------////////////000000000000---------------...//////////////////////////////------............------***,,,...000000///...---//////.........---------....................................------------//////000111222333333444555444333111000...---,,,............///000222222000000//////.........---////////////////////////////////////////////////////////////////////////////////////////////////000000//////.........---//////.........---------...------,,,,,,------...+++,,,---...////////////........................//////.........---------,,,---......//////......***,,,...//////...,,,***------------------------,,,---------.../////////------------------------........................---------.........//////222222111000///...------.../////////...---,,,,,,//////.........------------.....................000...,,,---///000---***//////.........---------000000//////......------000000000000//////////////////............//////111000......000000000///111000...---...///111222............/////////000..............................////////////......,,,,,,+++******)))(((((()))))))))))))))*********))))))******++++++,,,,,,************)))))))))))))))************+++++++++------,,,++++++***))))))++++++***))))))((('''''')))******+++++++++******+++******+++,,,,,,,,,+++------,,,,,,+++******)))---+++)))***+++,,,,,,+++***++++++,,,,,,,,,++++++---......---+++***+++---,,,,,,,,,,,,++++++***************)))(((((('''''')))***+++,,,,,,,,,+++***'''(((***+++,,,,,,++++++++++++,,,,,,,,,,,,++++++************************)))******+++,,,,,,------,,,,,,,,,+++++++++******************)))))))))))))))************+++++++++++++++************++++++***)))(((***---...---+++))))))******++++++,,,,,,++++++,,,,,,,,,+++***)))((())))))))))))*********)))***+++,,,,,,+++***)))******+++,,,,,,+++******++++++++++++++++++++++++,,,,,,***)))))))))******+++******))))))******+++++++++******************************************,,,)))'''(((***,,,,,,+++)))))))))***++++++,,,,,,++++++++++++++++++++++++------------------------***,,,------,,,++++++,,,,,,,,,,,,,,,++++++++++++------------------,,,,,,***+++,,,---------,,,+++..................------------............------........................---------------------------------........./////////////////////000111111........................---......//////......---------//////000///...---//////.........---------////////////////////////111111111111000000000000//////000000111111222222111111111000000000////////////...//////000111222000/////////............////////////////////////////////////////////////////////////////////////////////////////////////000/////////............//////.........---------...------,,,,,,------...---...............------........................//////.........---------,,,---......//////..............................---------------------------------...............------------------------........................---------.........//////000//////......------,,,.........///......------//////.........---------...---------,,,,,,,,,,,,000...---...///000...+++//////.........---------000000000//////.........000000000000////////////000000////////////000000111///......///000000///000///...------///111222........./////////000000////////////////////////......////////////......+++++++++******))))))(((************))))))(((((())))))***+++,,,---......************************)))************+++++++++...---,,,+++***)))((((((******))))))((((((''''''***************+++,,,---******+++++++++,,,,,,,,,------,,,,,,++++++******+++***)))***+++------,,,,,,,,,++++++***+++++++++,,,---...---+++))))))***---------,,,,,,,,,,,,+++))))))))))))))))))))))))+++++++++,,,++++++***)))((()))***+++++++++++++++++++++,,,,,,,,,,,,++++++************************(((((())))))***+++++++++,,,,,,,,,+++++++++******+++++++++***)))))))))((()))************+++++++++)))))))))))))))))))))))))))((('''))),,,.........((()))***+++,,,---......+++++++++,,,++++++***)))((((((((())))))))))))***((()))***+++,,,,,,,,,,,,************************++++++++++++++++++++++++,,,+++******)))*********++++++,,,,,,,,,,,,++++++,,,,,,+++***)))))))))***************************+++***((()))***,,,++++++))))))******+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------------------***,,,------,,,++++++,,,,,,,,,,,,,,,---------------------------,,,+++++++++,,,---/////////......------------------......------............------////////////////////////------------------------+++,,,,,,,,,,,,---------////////////000000000111........................---......//////......---/////////////////////////////////............---000000000000000000000000/////////.........------/////////000000000000000......///000000111222222000000////////////000000////////////............////////////////////////////////////////////////////////////////////////////////////////////////////////////...........................---------......------------......////////////...---,,,+++.......................................---------,,,---......//////......000///---,,,,,,---///000------------------------...............---------------------------------........................---------...............,,,,,,,,,,,,,,,,,,,,,,,,------......///........................------------------,,,,,,++++++***000///......//////...---...............---------000000000000////////////////////////000000000000111111000000000000111111111///......///000000//////...---------...000111....../////////000000000000000000000000000000000......////////////......+++*********)))))))))(((******))))))))))))))))))((((((((())))))*********)))***************++++++))))))*********+++++++++...---,,,+++***)))(((''')))))))))(((((((((((((((******))))))***,,,---///***+++++++++++++++,,,---------,,,,,,,,,++++++++++++)))((())),,,---...------,,,+++***)))***+++,,,***,,,...---+++((('''''',,,,,,,,,,,,,,,,,,,,,+++)))))))))******+++++++++,,,+++++++++******))))))))))))******+++++++++++++++,,,,,,,,,,,,,,,,,,+++************************((()))))))))*********+++,,,,,,,,,+++++++++******,,,,,,++++++***)))(((((())))))*********+++++++++((())))))))))))))))))((())))))((((((***,,,......))))))******+++,,,,,,---***++++++++++++*********))))))))))))************))))))***+++,,,,,,,,,,,,+++******))))))******+++++++++++++++++++++++++++++++++*********************+++,,,------,,,+++***,,,,,,+++***))))))))))))************************,,,+++++++++,,,,,,,,,,,,*********++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,***,,,------,,,++++++,,,,,,,,,,,,------.........------------,,,,,,+++***((()))+++,,,---------,,,,,,,,,------------......------............------................................................++++++,,,,,,,,,---------,,,------.............................................////////////......111111000////////////000/////////...............////////////////////////......------------,,,,,,///////////////.........---......///000111222222111000000////////////000///////////////.........///////////////////////////////////////////////////////////////////////////////////////////////////////////////.......................................------------............//////...------,,,................................................,,,---......///............---,,,++++++,,,---.........................../////////...---------,,,........................................................................++++++,,,,,,,,,---------,,,,,,---.../////////...........................,,,,,,,,,,,,,,,,,,------111000///...//////..............................000000000000000000000000////////////000000000000111000000//////000000111000///------///000///......------------...//////...////////////000000000////////////////////////......////////////......*********)))))))))))))))'''(((((()))******++++++)))))))))((((((''''''&&&))))))******+++++++++,,,))))))*********+++++++++---,,,,,,+++)))(((((('''(((((((((((())))))))))))+++***))))))***,,,...///)))+++,,,,,,******,,,------------,,,,,,,,,,,,,,,+++)))((())),,,---...------,,,+++*********,,,,,,)))+++------***((('''(((************++++++++++++))))))******++++++,,,,,,,,,++++++******)))))))))******************++++++,,,,,,,,,------,,,,,,,,,*********************************+++++++++++++++,,,,,,,,,+++++++++******---,,,,,,+++***))))))((())))))*********+++++++++))))))***++++++***))))))+++******)))((()))+++---******************))))))*********************+++******++++++++++++,,,,,,,,,++++++++++++++++++,,,++++++***))))))***++++++++++++++++++++++++++++++************+++*********)))***+++,,,,,,+++***))),,,++++++***))))))*********************************++++++++++++******++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,***************************,,,------,,,++++++,,,,,,,,,,,,------.........,,,,,,------,,,++++++***###$$$&&&((())))))((((((,,,,,,,,,,,,------......------............------------------------------........................,,,---------............,,,,,,---...///....................................//////////////////...111000////////////000000////////////////////////........................111111111000000000///////////////...............///////////////000000000111000000////////////000.........///////////////////////////////////////////////////////////////////////////////////////////////////////////////.........///////////////---.....................///......------......///,,,------...//////..............................---.....................,,,---......///.........---------......---------......................../////////...---------,,,.....................................................................---,,,,,,,,,---......//////,,,,,,---.../////////...---.....................++++++,,,---...///000000000000///...------...///---.....................///////////////000000000.../////////000000000111000//////......//////000000...------...//////...---------------...//////////////////000000000111..............................////////////......))))))))))))))))))))))))''''''((()))***+++,,,,,,,,,,,,+++***)))(((''''''))))))******+++,,,,,,,,,)))************++++++++++++++++++***))))))(((((((((((())))))******+++++++++++++++++++++,,,---...(((+++---,,,***)))+++...------------,,,,,,,,,,,,+++***)))***+++------,,,++++++******++++++,,,---)))+++,,,,,,***))))))***)))***************++++++******++++++,,,,,,,,,,,,++++++***)))))))))******+++******)))******++++++,,,,,,------------,,,,,,************************,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++******,,,,,,,,,+++*********))))))************+++++++++)))***+++,,,,,,+++***)))******+++***((((((***+++*********)))))))))((((((******)))))))))***+++++++++++++++,,,,,,,,,---------,,,,,,+++++++++,,,,,,++++++++++++++++++++++++++++++++++++++++++++++++))))))***++++++++++++***))))))************))))))+++***************++++++++++++++++++++++++++++++(((***++++++)))(((((()))++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++***,,,------,,,++++++,,,,,,,,,,,,,,,------------++++++,,,,,,,,,,,,++++++((()))+++,,,,,,,,,++++++++++++,,,,,,------......------............------------------------------....................................////////////---...000111111111000///------------------------...//////000000//////............//////000000000...////////////000000000........................000000000/////////...............///////////////000000////////////......000000////////////000000.........///////////////////////////////////////////////////////////////////////////////////////////////////////////////.........///////////////---------...............//////............//////+++,,,---...////////////........................---------...............,,,---......//////............///000000///.............................................---------...............................................................---------------....../////////000------......///.........---------...............+++,,,------...///000000/////////---++++++---///---------...........................////////////......//////000000111111//////............//////000...------...//////...------....../////////////////////000000000111111..............................////////////......((()))))))))))))))))))))(((((())))))*********+++,,,++++++******)))))))))))))))***++++++,,,------)))************+++++++++************))))))))))))((())))))***+++,,,,,,---++++++,,,,,,---,,,,,,,,,(((+++...---***)))+++///---------------------------+++)))***+++,,,,,,+++((()))***+++,,,---------***+++++++++******+++---*********++++++,,,,,,,,,+++++++++,,,,,,,,,,,,,,,******)))(((((()))***+++,,,+++***))))))***++++++,,,,,,------------,,,,,,************************,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++******++++++++++++++++++++++++)))************+++++++++)))***,,,------,,,***)))&&&(((++++++))))))***,,,*********************+++***)))(((((()))***+++,,,******+++++++++,,,,,,,,,+++++++++***+++,,,...///+++,,,---......---,,,+++++++++++++++++++++++++++((()))***+++,,,++++++*********))))))))))))******))))))))))))***+++,,,,,,++++++++++++++++++++++++))),,,...---+++))))))***,,,,,,,,,,,,,,,,,,,,,,,,------------------------,,,,,,,,,,,,,,,,,,,,,,,,***,,,------,,,++++++,,,,,,,,,,,,,,,++++++++++++)))***+++,,,,,,,,,,,,,,,...///000111111000//////***++++++,,,------......------............------................................................---.........////////////---...000111222111000///------------------------//////000000000000//////***,,,---///000000000///.../////////000000000000...........................------------,,,,,,,,,.........//////000000111//////////////////////////////...//////000111222............/////////000////////////////////////////////////////////////////////////////////////////////////////////////............/////////000---------.........////////////............//////------...............---........................---------.........//////,,,---......//////.........---,,,,,,,,,,,,---...........................---------...............................................................//////.........---------.............../////////.........///......---------------.........//////------------------------.........,,,******,,,///---------.........//////,,,---------.........///.........///000111111111000000////////////000000000...,,,---...///............//////000000000/////////000000000111111111..............................////////////......(((((((((((())))))))))))************)))))))))))))))))))))))))))*********))))))***+++,,,,,,------)))************+++++++++))))))))))))************))))))***+++,,,------...+++,,,---...---,,,+++***'''+++...---)))(((+++///---------------------------,,,******+++,,,+++***&&&(((***,,,---...------***++++++***)))***---///+++++++++,,,,,,---------,,,,,,,,,,,,,,,,,,,,,,,,))))))(((((((((***+++,,,,,,+++***))))))***++++++,,,------......------,,,************************,,,,,,++++++++++++++++++,,,,,,,,,+++++++++******++++++++++++++++++,,,,,,)))************+++++++++(((***+++,,,,,,+++***(((###&&&***+++******+++---))))))***+++,,,------...***)))(((((((((***+++,,,)))************+++++++++***))))))***+++...000111+++,,,...//////...,,,+++++++++++++++++++++++++++((()))***+++,,,,,,+++***,,,+++***))))))***+++,,,(((((())))))***+++------++++++++++++++++++++++++---000222222///------...,,,,,,,,,,,,,,,,,,,,,,,,------------------------........................***,,,...---,,,+++,,,,,,,,,,,,,,,++++++*********((()))***+++,,,---------,,,---.........---,,,+++******+++,,,,,,---......---..................---////////////////////////////////////////////////---------.........//////+++,,,...///000///...---------------------------//////000000000000//////(((***---///000111000///.../////////000000111111000000000000000000000000111000000000000/////////---......///000111222222------......//////000000............///111222222---.........//////000000////////////////////////////////////////////////////////////////////////////////////////////////---.........//////000000---------.........////////////............//////////////////...---,,,,,,........................---------.........//////,,,---......//////......---+++(((%%%%%%(((+++---////////////////////////,,,------....../////////////////////////////////........................//////.........---------.........................../////////...---,,,,,,---------.........////////////...---+++***))))))---......+++)))(((,,,///---------.........//////,,,,,,,,,---------......---......///000111111222111111000000000000111111///...,,,,,,...///...---...//////000111000000000000000000000111111111111000000000000000000000000......////////////......******))))))))))))******))))))************))))))))))))))))))))))))))))))************************......---,,,+++))))))((()))***+++,,,++++++))))))'''(((((()))***,,,---...++++++,,,,,,,,,+++******---------------,,,+++***++++++************+++++++++,,,,,,,,,,,,,,,,,,++++++,,,------++++++,,,------,,,++++++******++++++((()))***+++,,,---------,,,,,,,,,,,,,,,,,,,,,,,,,,,***(((***---...---+++*********++++++,,,,,,,,,.../////////...,,,***)))++++++,,,,,,,,,---------++++++++++++++++++++++++))))))))))))))))))******))))))))))))))))))))))))(((((((((((()))***+++,,,************************++++++++++++++++++++++++))))))))))))))))))))))))++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++***))))))******---,,,+++******+++,,,---------,,,++++++******)))---+++))))))+++,,,***''''''((()))+++---.........,,,+++(((''''''(((+++,,,+++++++++,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,------++++++++++++------,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,------,,,,,,+++,,,,,,,,,,,,,,,,,,,,,,,,+++,,,---.........---,,,......---------,,,,,,,,,...---,,,+++++++++,,,---((())))))***,,,------...---------............///............////////////111111000000/////////...******+++,,,---...000000///////////////////////////...,,,,,,---///111333////////////////////////.../////////000000111111////////////////////////....................................////////////000000////////////000000111000///......///000111//////............//////---...///111111///...---////////////////////////............////////////000000111111111111000000......//////000000111111................................................////////////////////////........................111000///......///000111////////////////////////---------............///------............------------............------,,,------...///000111111------------------------..................---------------.........///////////////...------,,,,,,---,,,,,,---000111111000000000/////////.........,,,,,,,,,---------......++++++,,,,,,,,,---------++++++,,,------....../////////............//////////////////////////////............////////////000000000000000000000000000000000000111111111111000000000000000000000000///////////////000111111......////////////......******))))))))))))******))))))************))))))************************************************++++++++++++++++++++++++)))***+++,,,,,,+++***)))(((((())))))***+++------+++,,,,,,---------,,,,,,++++++++++++******)))))),,,,,,++++++++++++,,,,,,------............------+++,,,------++++++,,,------,,,++++++******++++++(((((()))***++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,***)))***,,,...,,,+++))))))*********+++++++++------......---,,,******++++++++++++,,,,,,,,,,,,++++++++++++++++++++++++************))))))))))))************************(((((((((((()))***+++,,,************************))))))))))))))))))))))))************************************************************************,,,++++++***))))))******,,,++++++++++++++++++,,,+++++++++++++++++++++,,,---+++)))***+++,,,***(((&&&&&&'''((()))))))))))),,,+++***))))))***+++,,,+++,,,,,,,,,------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++******+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,------,,,,,,+++,,,,,,,,,,,,,,,,,,,,,,,,+++,,,---.........------......---------,,,,,,,,,,,,,,,++++++,,,---...///,,,,,,,,,---------------,,,,,,,,,,,,---------...------------............---------------,,,,,,,,,//////............//////////////////////////////......------...///000111////////////////////////.........//////000000000////////////////////////....................................////////////000000////////////000000000000////////////000000.........------.........---...///000000///...---////////////////////////............////////////000000111111111111000000000000000///////////////................................................////////////////////////........................//////............//////........................---------............///------............------------............------+++++++++,,,,,,,,,,,,,,,................................................---------.........////////////.........---------...---,,,---...///...---......---------,,,,,,,,,,,,,,,,,,---------......++++++,,,,,,,,,---------,,,,,,---......//////000//////............//////////////////////////////............////////////000000000000000000000000........./////////000000000000000000000000000000///////////////000111111......////////////......******))))))))))))******))))))))))))))))))))))))************************************************((())))))***+++,,,------)))***+++,,,,,,+++***)))******))))))***++++++,,,++++++,,,---.........---+++++++++************)))---,,,,,,,,,,,,,,,,,,---******++++++++++++******+++,,,------++++++,,,------,,,++++++******++++++(((((())))))***++++++++++++++++++++++++++++++++++++*********,,,---,,,+++))))))))))))************++++++,,,,,,,,,++++++************++++++++++++,,,++++++++++++++++++++++++++++++*********)))))))))************************)))))))))))))))***+++,,,************************))))))))))))))))))))))))************************)))))))))))))))))))))))))))))))))))))))))))))))),,,+++******)))*********+++++++++,,,,,,+++++++++)))******+++,,,,,,------,,,+++******++++++***)))***+++++++++++++++******,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------......,,,,,,,,,,,,,,,,,,,,,,,,++++++************++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++,,,------......------......---------,,,,,,,,,++++++++++++,,,...///000000/////////......------+++++++++,,,,,,,,,------,,,,,,,,,------------......//////////////////000333222111000///.........////////////////////////......///////////////...////////////////////////.............../////////////////////////////////////////////////////////............////////////000000////////////000000//////000000000000////////////............//////---...///000000///...---////////////////////////............///////////////000000111111000000///111111000//////......---................................................////////////////////////........................------............------........................---------............///------............------------............------//////.........---------////////////////////////........................---------..............................---------///...,,,---......,,,+++---------------,,,,,,,,,,,,,,,,,,---------......,,,,,,,,,,,,------------------......///000000111//////............//////////////////////////////............////////////000000000000000000000000,,,,,,---------.........000000000000000000000000///////////////000000111......////////////......******))))))))))))************))))))))))))******************************************************(((((()))***+++,,,,,,---((()))***+++,,,+++******++++++***************+++)))***+++,,,---------------,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++,,,,,,)))******************)))+++,,,------++++++,,,------,,,++++++******++++++***************++++++,,,************************+++++++++++++++,,,++++++******************++++++))))))******++++++++++++))))))*********+++++++++++++++++++++++++++++++++,,,++++++******))))))(((***************************)))))))))******+++,,,************************++++++++++++++++++++++++************************************************))))))))))))))))))))))))++++++***************+++***+++,,,------,,,+++************++++++,,,,,,,,,,,,++++++++++++++++++***------............------***+++,,,------,,,+++***,,,,,,---------.........,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------------......---------,,,,,,,,,++++++++++++,,,,,,------////////////............+++,,,,,,,,,,,,---------,,,,,,---------........./////////000111111111222333333111000//////......////////////////////////---...000111000///---,,,////////////////////////------..................////////////////////////000000000000000000000000............////////////000000////////////000000...///000111111000///...111000000000000000000111......///000000///......////////////////////////............//////////////////000000000000////////////////////////......................................................////////////////////////........................------///000000///------........................---------............///------............------------............------//////////////////..........................................////////////........................------..................///...------...///...---////////////////////////,,,,,,,,,---------......,,,,,,,,,------------...---------...//////000000//////............//////////////////////////////............////////////////////////////////////,,,,,,---------.........000000000000000000000000000000////////////000000......////////////......******))))))))))))************)))(((((()))******************************************************************************((()))***+++,,,++++++***,,,+++******)))*********'''((()))++++++,,,,,,,,,---,,,,,,++++++,,,------++++++************++++++.........//////.........+++,,,------++++++,,,------,,,++++++******++++++,,,,,,+++++++++,,,------************************++++++,,,+++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,))))))))))))***++++++,,,))))))*********+++++++++++++++++++++++++++++++++,,,+++++++++******))))))******************************************+++,,,************************++++++++++++++++++++++++************************++++++++++++++++++++++++************************+++***************++++++***+++,,,------,,,+++***,,,,,,,,,+++++++++******++++++,,,++++++++++++,,,***+++,,,------...------)))***+++,,,,,,+++***))),,,,,,,,,---------......,,,,,,,,,,,,,,,,,,,,,,,,,,,------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------......------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------............---------,,,,,,,,,,,,+++++++++******)))))),,,------------.........------------............---.........////////////,,,,,,,,,------.........000000///....../////////////////////////////////---...000111111///---,,,////////////////////////..................------////////////////////////000000000000000000000000............////////////000000////////////000000...///000111111000///...000//////......//////000......////////////......////////////////////////............//////////////////000000000000//////,,,------...///000000111................................................////////////////////////...........................///000111111000///...........................---------............///------............------------............------))))))***++++++,,,------------------------------........./////////000000.....................---,,,---------......//////...------...000222111000.../////////////////////,,,,,,,,,---------......,,,,,,---------.........+++,,,,,,------...////////////............//////////////////////////////............////////////////////////////////////------........./////////////////////////////////000000////////////000000......////////////......******))))))))))))******+++***)))(((((()))***+++++++++++++++++++++++++++************************+++++++++******))))))((('''(((***+++,,,,,,+++***++++++***************+++'''((()))***+++++++++***+++***)))))))))***+++,,,+++******))))))******+++------............------+++,,,------++++++,,,------,,,++++++******++++++...---,,,++++++,,,---...+++++++++++++++++++++++++++,,,---,,,*********+++---------------,,,,,,,,,******))))))***+++,,,,,,*********++++++++++++,,,++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++*********++++++,,,************************))))))))))))))))))))))))++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++*********)))******+++,,,+++++++++,,,,,,+++++++++------,,,,,,+++******)))***+++,,,,,,++++++,,,---+++,,,---...///000000000)))***+++,,,,,,+++***)))+++++++++,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,------............------,,,,,,,,,,,,,,,,,,,,,,,,------............------,,,,,,,,,,,,,,,,,,,,,,,,---,,,,,,,,,,,,---...///......---------,,,,,,,,,,,,,,,,,,,,,+++)))((('''++++++,,,,,,,,,------...---------.........//////........./////////000000.............../////////------------......///000////////////////////////,,,...///111111000...---/////////////////////////////////...............////////////////////////////////////////////////............////////////000000////////////000000//////000000000000//////------,,,,,,,,,,,,------////////////////////////////////////////////////............////////////...//////000000//////...++++++,,,---///000111222................................................////////////////////////........................//////000000000000//////---------------------------------............///------............------------............------)))******+++---......///------------------------.........//////000000111...............---------,,,,,,,,,---...///000000......---///111333333222,,,,,,,,,---------------,,,,,,,,,---------......,,,---------............++++++,,,,,,---.........//////............//////////////////////////////............////////////000000000000000000000000...////////////000000000////////////////////////111000000///////////////......////////////......******))))))))))))******+++***)))(((((()))***+++++++++++++++++++++++++++************************************))))))))))))'''(((***+++,,,,,,++++++******************++++++)))******+++++++++******+++***)))((()))***,,,---,,,++++++******++++++,,,******++++++++++++******+++,,,------++++++,,,------,,,++++++******++++++...---+++******+++---...,,,,,,,,,,,,,,,,,,,,,,,,+++,,,...,,,***)))***,,,---------,,,,,,+++++++++++++++*********+++,,,,,,++++++++++++,,,,,,,,,,,,++++++++++++++++++++++++)))******++++++,,,,,,---++++++++++++++++++++++++,,,++++++******+++++++++************************))))))))))))))))))))))))++++++++++++++++++++++++************************++++++++++++++++++++++++******))))))***++++++,,,,,,++++++++++++++++++,,,,,,+++++++++++++++++++++)))+++------++++++,,,......//////000000000//////++++++,,,,,,,,,,,,++++++*********+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---......---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------............------,,,,,,,,,,,,,,,,,,,,,,,,------,,,,,,,,,---...///......---------,,,,,,,,,,,,------...---,,,+++***---------,,,,,,,,,,,,,,,,,,,,,---------.........---------.........//////111111111111000000000000...---------......///000////////////////////////,,,---...000000000//////////////////////////////000000000//////.........////////////////////////....................................////////////000000////////////000000000000////////////000000......------------......//////............//////////////////////////////............////////////......////////////......,,,,,,------...///000000................................................////////////////////////......................../////////....../////////---------------------------------............///------............------------............---------------....../////////........................---......///000000111111//////.........---------++++++,,,---...///000111///......///111111111000,,,,,,,,,---------......,,,,,,,,,---------......------------............,,,,,,------...///////////////............//////////////////////////////............////////////000000000000000000000000....../////////000000000////////////////////////111111000///////////////......////////////......******))))))))))))******+++***)))'''''')))***+++++++++++++++++++++++++++************************)))))))))))))))*********'''(((***+++,,,,,,++++++******))))))***++++++,,,++++++,,,,,,,,,+++******---,,,+++******,,,...///---,,,,,,++++++,,,,,,---,,,,,,,,,------,,,,,,,,,+++,,,------++++++,,,------,,,++++++******++++++---,,,+++))))))***,,,---,,,,,,,,,,,,,,,,,,,,,,,,+++---...---***(((***,,,,,,,,,,,,++++++*********---,,,+++******+++,,,,,,++++++,,,,,,,,,---------++++++++++++++++++++++++))))))***+++,,,------...++++++++++++++++++++++++,,,,,,++++++***+++++++++************************++++++++++++++++++++++++++++++++++++++++++++++++))))))))))))))))))))))))******************************))))))***+++,,,,,,---,,,+++******+++,,,---*********++++++,,,------)))+++...---++++++---///,,,,,,,,,,,,+++***)))(((------------------------))))))*********+++++++++,,,,,,,,,,,,,,,,,,,,,,,,++++++------------++++++,,,,,,,,,,,,,,,,,,,,,,,,------............------,,,,,,,,,,,,,,,,,,,,,,,,------,,,+++,,,---...///......---------,,,,,,,,,,,,---.../////////...---000///...---,,,+++******++++++,,,,,,,,,---------,,,,,,,,,---------......//////......------,,,,,,//////............//////////////////////////////,,,---...///000000000000////////////////////////111111000000/////////...////////////////////////..................................../////////000000000////////////000000111000///......///000111111111000000000000111111//////............//////////////////////////////............/////////000......////////////......------..................................................................////////////////////////........................///...---,,,,,,---...///---------------------------------.........//////---..................------..................---,,,,,,++++++++++++******////////////////////////---......///000111111222//////.........---------++++++,,,---...000111111000///......//////...---........./////////000000,,,,,,,,,---------......---------.........//////------......///000000000//////............//////////////////////////////............/////////000000000000000000000000000.........////////////000////////////////////////111111000///////////////......////////////......''''''''''''((()))++++++------,,,,,,------...///(((((())))))******++++++---,,,+++)))))))))******************************************************+++'''######'''+++,,,,,,,,,,,,++++++++++++++++++******))))))))))))******,,,+++***)))***+++,,,---******************++++++&&&''')))+++,,,,,,,,,+++---------...------,,,,,,)))))))))******+++++++++------------------------)))*********++++++++++++******))))))***+++,,,,,,+++*********++++++,,,---++++++******)))*********------,,,,,,,,,,,,++++++))))))******++++++++++++******)))(((''''''(((((())))))******++++++++++++***)))(((''''''((()))***++++++******)))((('''''')))+++,,,,,,***))))))***+++***)))'''''''''((())),,,++++++******++++++,,,+++++++++,,,,,,,,,------))))))))))))***+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++++++++++++++++++++++++++---------,,,,,,+++++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,------------------------------------------------,,,,,,---------------------------...///000000///...---///...,,,++++++,,,...///---.........---,,,,,,+++......---------,,,,,,,,,------------------------...------,,,,,,------...---,,,+++******+++,,,---///////////////.........000000000000000000000000////////////////////////111...++++++...//////------------.........//////111111000000/////////...000000000000000000000000......//////000000111111......------------......//////////////////////////////////////////////////////............//////000000///...------,,,,,,............//////////////////...---,,,,,,,,,,,,////////////////////////000000000000////////////////////////////////////......////////////......222111000//////000111222//////.........---------/////////...------,,,,,,,,,++++++***+++,,,...///000///...---,,,------...------............------......---,,,---...///000........................//////............//////------......///000000000111111000000//////...............------,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,.........------,,,,,,,,,------------------------,,,---...//////...---,,,000///...------...///000000000//////.........---///...---,,,,,,---...///////////////////////////............////////////000000//////.........---000///...------...///000222111000000000000111111...///000000000///---,,,'''''''''(((((()))+++++++++***************++++++)))))))))))))))*********++++++***)))))))))******************************************************---,,,++++++,,,---------++++++++++++++++++++++++,,,,,,++++++++++++,,,,,,,,,++++++***+++,,,---...++++++++++++++++++++++++***+++,,,---------,,,+++,,,,,,---------------,,,+++++++++++++++*********,,,,,,,,,,,,,,,,,,,,,,,,)))))))))*********++++++******))))))***++++++,,,,,,++++++******++++++,,,------,,,,,,+++,,,,,,---------,,,,,,,,,,,,++++++)))*********++++++++++++,,,,,,+++***************)))*********+++++++++++++++***))))))))))))***+++------,,,,,,+++******)))(((***,,,,,,***)))***+++++++++***))))))))))))))),,,++++++******++++++,,,++++++,,,,,,,,,---------++++++*********++++++,,,************************++++++++++++++++++++++++++++++++++++++++++++++++------,,,,,,,,,+++++++++------------------,,,,,,+++++++++,,,,,,,,,------------------------------...............------------------------------------......//////......---///...,,,++++++,,,...///......//////......---,,,.........---------,,,,,,...........................------,,,,,,------............------...............------------------////////////////////////........................111...,,,,,,...//////------------.........//////000000000//////.........000000000000000000000000......//////000000000000000//////////////////000//////////////////////////////////////////////////////............//////000//////...------,,,,,,------------..................---------...//////////////////////////////////////////............////////////////////////......////////////......//////...------...////////////.........---------------..................,,,,,,,,,,,,,,,---......000///...---,,,------...------............------...------,,,---...///000........................///..................//////////////////.........////////////.........---------------------,,,,,,//////............//////......---------,,,,,,,,,------------------------,,,---............---,,,//////...------...//////000/////////.........---...---,,,,,,,,,,,,---...////////////////////////............////////////000/////////............000///...------...///000//////............////////////000000//////...---(((((((((((())))))***+++******)))))))))))))))***************))))))))))))(((((())))))******))))))************************************************)))+++------+++***))))))************************,,,,,,++++++++++++,,,,,,,,,,,,,,,+++,,,------...---------,,,,,,++++++***,,,------------,,,+++******+++,,,------...---------------,,,++++++******++++++++++++++++++++++++((()))))))))*********************)))******+++,,,,,,,,,++++++***+++++++++---,,,,,,+++,,,,,,------------,,,,,,,,,,,,++++++************++++++++++++,,,+++++++++************************++++++++++++,,,+++************+++,,,------,,,,,,+++*********''')))+++++++++***+++,,,+++++++++,,,++++++******++++++************++++++++++++,,,,,,---------,,,---,,,,,,++++++++++++,,,************************++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,++++++++++++......------,,,,,,,,,+++++++++++++++,,,,,,,,,,,,------------------------,,,,,,,,,,,,,,,---------------------------------...------,,,,,,------......---,,,++++++,,,---......////////////......---...............---------...........................------,,,,,,------...---......//////......---,,,,,,,,,,,,,,,,,,,,,---................................................000...------...//////...------.........//////////////////...............000000000000000000000000...////////////000000000//////............////////////////////////////////////////////////////////////............///////////////...------,,,,,,,,,,,,,,,------------......------...///000111111////////////////////////............------------////////////////////////......////////////............---,,,,,,---.....................---------,,,,,,------...//////000,,,,,,---............---//////...------------...------............------...------------...//////..............................------------......111000000///......------............------------,,,,,,------------------------,,,,,,,,,,,,------...------------,,,,,,,,,------------------------,,,------......------,,,...------,,,,,,------.../////////...............------,,,++++++,,,------////////////////////////............////////////////////////............//////............//////.............../////////111000//////......//////))))))(((((()))******+++,,,++++++***************++++++******))))))((((((&&&'''(((*********)))(((************************************************&&&))),,,+++(((&&&''')))))))))************+++++++++******))))))******+++,,,,,,,,,---------......//////...---,,,,,,++++++************************)))***+++,,,---.........---,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++(((((()))))))))*********+++***************+++++++++*********++++++,,,---******))))))******++++++------,,,,,,,,,+++++++++++++++++++++++++++++++++)))))))))))))))))))))(((+++++++++++++++++++++++++++++++++******+++++++++*********)))))))))((((((&&&(((***+++++++++,,,---)))***+++,,,,,,+++***)))++++++************++++++***+++,,,---------,,,,,,......---,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++++++++++++++++++++++++++,,,+++++++++++++++++++++,,,,,,++++++***)))))))))***++++++++++++,,,,,,,,,------------------------************++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,...---++++++++++++---......---,,,,,,,,,,,,---...---...............------...................................................------,,,,,,------...***+++,,,------,,,+++***,,,,,,,,,,,,------------------------------------........................///............//////...............////////////..................------000000000000000000000000////////////////////////,,,,,,++++++++++++,,,,,,//////////////////////////////////////////////////////............////////////.........---------,,,,,,---------...............------...///000000/////////////////////////////////.........------////////////////////////......////////////....../////////....../////////........................---------.........//////,,,---.../////////------............------......------............------------------......//////........................------,,,,,,,,,,,,------000000//////....................................,,,,,,,,,------.........,,,,,,++++++++++++,,,,,,------------------------,,,,,,------------------........................,,,,,,,,,,,,,,,,,,,,,,,,........................------------------------////////////////////////............///////////////////////////........./////////......////////////000000111111111111111222111///.........///000***))))))))))))******+++++++++***))))))*********++++++******))))))((((((&&&'''(((*********)))(((************************************************''')))+++***((((((,,,///))))))******++++++++++++++++++************++++++,,,,,,---------.........//////......---,,,++++++((()))))))))***+++,,,,,,)))***+++,,,------------******+++,,,------......,,,,,,,,,,,,,,,,,,,,,,,,))))))))))))************++++++***************+++((())))))***+++---...///***)))))))))******+++,,,------,,,,,,,,,+++++++++,,,+++++++++++++++++++++((()))************)))))),,,+++++++++++++++++++++*********************************)))))))))))))))&&&(((***+++++++++,,,---((()))***+++++++++))))))+++******))))))******+++***+++,,,---...---,,,+++......---,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++******)))))))))*********+++++++++,,,,,,------------------------******++++++,,,,,,,,,---,,,,,,,,,,,,,,,,,,,,,,,,---,,,+++******+++,,,------------,,,,,,---------+++,,,,,,------,,,,,,,,,------..................,,,,,,,,,,,,,,,,,,,,,,,,...------,,,,,,------...***+++,,,------,,,+++***,,,,,,------............------------------------...........................////////////...//////........./////////000000------................../////////////////////////////////...............,,,,,,++++++++++++,,,,,,//////////////////////////////////////////////////////............//////...............------------.........///////////////...------,,,,,,------////////////////////////000000000/////////......////////////////////////......////////////.........//////////////////...---.....................//////.........---------------/////////...---,,,------..................------............---------------.......................................------,,,,,,,,,,,,------............//////000000////////////////////////,,,,,,,,,------.........//////............//////------------------------,,,,,,,,,---------......000//////////////////000+++,,,,,,,,,,,,,,,,,,+++---------.....................////////////......////////////////////////............////////////.........///////////////...//////////////////......///000111222111111111222111000......///000000*********))))))******+++((((((((((((((())))))***************))))))))))))(((((())))))******))))))************************************************&&&''''''''''''(((+++---*********+++,,,,,,------------,,,,,,,,,,,,------++++++,,,---------------.........------,,,,,,+++*********+++,,,---///000)))***+++,,,,,,---,,,,,,((()))***+++,,,......///,,,,,,,,,,,,,,,,,,,,,,,,)))*********++++++++++++,,,+++******)))*********((())))))***+++---...///++++++++++++,,,---......------,,,,,,,,,,,,++++++,,,,,,,,,,,,++++++++++++***+++,,,---------,,,+++,,,,,,,,,,,,++++++++++++))))))************))))))++++++++++++++++++++++++''')))+++++++++***+++,,,((()))************************))))))))))))******)))***,,,......---,,,+++---,,,,,,++++++++++++,,,************************++++++++++++++++++++++++++++++++++++++++++++++++*********+++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,************++++++++++++------------------------,,,,,,------......//////,,,,,,,,,,,,,,,,,,,,,,,,---,,,,,,++++++,,,,,,---------------------------******+++,,,,,,,,,,,,+++,,,,,,,,,---------------++++++++++++++++++++++++...------,,,,,,------...---......//////......---,,,,,,------......//////---------------------------------------------------///111111///...//////....../////////000000000...............//////////////////////////////////////////............---//////............////////////////////////////////////////////////////////////............//////................................./////////000000//////...,,,,,,+++++++++////////////////////////111000000000////////////////////////////////////......////////////......,,,---............---,,,---------...............000//////...------,,,,,,---............---,,,,,,,,,---......///.........------............------,,,---......//////....................................------------......------......///000000111/////////000000000000000,,,,,,------------------......------------......,,,,,,,,,------------...+++,,,,,,------.........000000///......///000000+++,,,,,,------,,,,,,+++---------------.........//////000000000000//////////////////////////////............////////////.........///////////////......////////////......,,,---...000000000//////111111000000//////000000++++++***))))))******+++'''''''''((()))***+++,,,)))))))))))))))*********++++++***)))))))))******************************************************%%%%%%%%%&&&((()))(((&&&***++++++,,,------.........------,,,,,,------...******,,,---------,,,+++---------,,,,,,,,,,,,,,,,,,,,,+++++++++,,,...///***++++++,,,,,,,,,++++++((())))))***+++,,,------++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,++++++***))))))******++++++******++++++,,,,,,++++++++++++,,,---...///------,,,,,,,,,,,,++++++------,,,,,,,,,+++++++++)))***,,,......---,,,+++------,,,,,,,,,+++++++++******+++,,,,,,+++******++++++++++++++++++++++++(((***,,,,,,***)))***+++***************+++,,,,,,******))))))))))))******)))***---...///...,,,***++++++*********++++++,,,************************++++++++++++++++++++++++++++++++++++++++++++++++)))*********++++++++++++*********+++,,,,,,------************++++++++++++------------------------+++++++++,,,---.........++++++++++++++++++++++++,,,,,,------------,,,,,,,,,------------------,,,***+++,,,,,,---------,,,+++++++++,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,...------,,,,,,------............------.........***++++++,,,------......---------------------------------------------------///222222///...///000.../////////000000000000.........//////000000000//////////////////////////////.........---------000//////////////////000//////////////////////////////////////////////////////............//////........................---------........./////////...---------------...////////////////////////000000/////////.........////////////////////////......////////////......---...////////////...------------.........//////..................------......---,,,,,,,,,,,,,,,,,,,,,.../////////......------............------,,,---.../////////...---........................///..................///.........///////////////........./////////000000------------------,,,,,,,,,++++++******++++++,,,,,,,,,,,,---------......++++++,,,,,,---......//////...---,,,,,,---...///+++,,,---......---,,,+++,,,,,,,,,------...............///000000///......////////////////////////............////////////............/////////000---...///000000///...---+++,,,...000111000//////000111111111111000//////++++++***************+++)))))))))***+++---//////(((((())))))******++++++---,,,+++)))))))))***+++***************************************************)))***,,,///...)))$$$++++++,,,------...//////,,,++++++******++++++,,,)))***+++,,,---,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,+++***)))))))))***+++++++++,,,,,,,,,+++************************++++++))))))))))))))))))))))))++++++,,,,,,,,,---------,,,,,,+++***))))))******...---,,,+++************))))))))))))***+++,,,------------,,,,,,,,,++++++---------,,,,,,+++++++++'''(((***,,,,,,,,,***)))---------,,,,,,+++++++++++++++------------++++++))))))))))))))))))******)))+++,,,,,,***))))))***,,,,,,+++***+++,,,...///******))))))))))))******(((***---//////...,,,***))))))))))))***+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++++++++++++++++++++++++++))))))******++++++++++++''''''((()))***++++++,,,)))************+++++++++------------------------'''(((((()))******++++++++++++++++++++++++++++++,,,,,,...//////...,,,,,,,,,------......------,,,+++,,,------.........---*********++++++,,,,,,,,,------------------------...------,,,,,,------...------+++******+++------))))))***+++,,,,,,------........................------------------------,,,///222222000...///000////////////000000000000.../////////000000111111//////////////////////////////.........---------......------------......//////////////////////////////////////////////////////............//////---.....................,,,,,,,,,---------............---......///000111//////////////////////////////.........---------////////////////////////......////////////......///000111222222111000///---------.........//////,,,,,,------...////////////...,,,+++***+++,,,,,,+++,,,.../////////......---..................---,,,,,,.../////////...---........................//////............//////000000000///......---------------.........//////.........------,,,,,,,,,///......------......///,,,,,,,,,------.........++++++,,,,,,---...//////---,,,++++++++++++,,,---,,,,,,............,,,,,,,,,,,,,,,------.........,,,---...//////...---,,,////////////////////////............/////////000---.........//////000000---...///000000///...---,,,...000222333333111111000111111222222111///...))))))*********+++++++++,,,,,,+++***))))))*********+++,,,,,,,,,***)))((())))))))))))))))))))))))(((((((((((()))***,,,,,,,,,+++******++++++)))(((+++,,,---+++)))(((((()))++++++***)))((((((((()))++++++++++++++++++++++++,,,,,,++++++,,,,,,---...+++***)))***,,,---,,,+++++++++************++++++***++++++,,,,,,++++++***,,,,,,,,,---------......++++++++++++,,,,,,---...***)))((()))+++,,,+++***)))******+++++++++******------,,,,,,,,,,,,------******))))))******+++,,,'''+++...---)))(((,,,000******+++,,,+++***)))(((...------,,,,,,,,,---------,,,***(((((()))***+++,,,,,,,,,++++++*********))))))(((((()))***++++++))))))))))))))))))))))))---------,,,,,,+++++++++******))))))))))))************+++++++++,,,,,,,,,******))))))))))))***************++++++,,,,,,,,,*********++++++,,,,,,,,,,,,,,,,,,,,,++++++***))))))***+++,,,,,,,,,,,,,,,))))))*********+++++++++++++++,,,,,,,,,---------******+++++++++,,,,,,,,,++++++,,,---------,,,,,,...+++***,,,)))""""""&&&000///...---,,,------...,,,,,,,,,,,,,,,,,,,,,,,,///...,,,+++***+++,,,,,,******)))***+++---///111---------,,,,,,+++++++++,,,...//////...------...,,,------......------,,,+++++++++,,,,,,,,,------...---,,,+++***+++,,,------------...///000000111,,,...//////...------...000000//////////////////000000///...---,,,,,,,,,///////////////.........//////000000000000//////...............///000000222111111000///......---////////////////////////...............///000111000000//////...---++++++,,,---......//////..............................000000//////.........---........................111111000000//////...............------,,,,,,,,,---------............///...///000000///---+++***////////////////////////,,,,,,,,,------.................................---------------------------------------------------------............///000///---++++++---///000---------............///+++,,,---,,,,,,,,,...000.........------,,,,,,,,,---.........---,,,,,,+++,,,,,,---......---,,,,,,........................---...............---,,,---,,,,,,+++,,,---///000------------------------........................---------............///...------,,,,,,------..................---------000000000000000000000000///......------///000111111111000000//////......))))))*********+++++++++,,,++++++***))))))*********+++++++++******)))(((******************************)))******+++,,,---,,,+++******++++++***(((((()))+++***))))))***,,,,,,+++***************++++++++++++++++++++++++++++++++++++++++++,,,------,,,+++******,,,---,,,+++++++++************++++++++++++,,,,,,,,,,,,++++++++++++++++++,,,,,,,,,---,,,,,,+++++++++,,,------+++***)))***,,,,,,,,,+++******++++++++++++******)))))))))(((((()))))))))+++++++++++++++,,,,,,---***+++,,,+++++++++,,,,,,,,,,,,---...---,,,+++***,,,,,,++++++++++++,,,,,,---,,,+++***))))))***++++++++++++******))))))))))))))))))))))))***+++,,,************************,,,,,,,,,,,,+++++++++***++++++************++++++*********+++++++++,,,,,,))))))************))))))******+++++++++,,,,,,,,,++++++++++++++++++,,,,,,++++++,,,,,,,,,+++******)))***+++,,,,,,,,,,,,,,,++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,++++++,,,,,,,,,---------,,,,,,,,,------,,,++++++///,,,---///---((((((---000///...---,,,------...,,,,,,,,,,,,,,,,,,,,,,,,---,,,+++*********+++++++++*********+++---///000---------,,,,,,+++++++++,,,---//////---,,,---...,,,------......------,,,+++,,,,,,,,,------------...---,,,++++++,,,------,,,,,,,,,---.../////////---///000000///......///000///////////////....../////////......------,,,////////////............//////000000000000//////...............///000000111111000000///......---//////////////////////////////.........///000000.........///......------,,,---......//////..............................000/////////....................................////////////.........---...------------------,,,---------............///---.../////////---+++))),,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------..............................---------------------------------------------------------............///........................---------............///---/////////---------///......---------,,,,,,,,,---.........------,,,+++,,,---............---,,,........................---....../////////......------,,,,,,,,,---...///////////////////////////................................./////////000000///......------......///000000000000000000000//////////////////////////////......---...///000111000000000000//////......***************+++++++++,,,+++******)))*********+++***))))))))))))))))))************************,,,+++++++++++++++,,,,,,,,,+++)))***++++++***)))%%%&&&((())))))***,,,---++++++++++++++++++,,,---+++++++++++++++++++++++++++************+++,,,,,,---+++***+++,,,,,,+++***++++++************++++++++++++,,,,,,,,,,,,++++++************++++++++++++------,,,+++++++++,,,,,,,,,+++***+++,,,------+++***+++++++++++++++******+++++++++******+++++++++,,,,,,++++++,,,,,,---......,,,***+++,,,---+++))),,,,,,---...---,,,+++***++++++************++++++,,,,,,,,,+++++++++++++++*********)))))))))))))))+++************+++,,,,,,+++++++++++++++++++++++++++++++++***************,,,,,,++++++++++++,,,,,,*********++++++++++++,,,))))))***++++++***))))))***++++++++++++,,,,,,,,,,,,,,,++++++++++++++++++******++++++,,,+++++++++******+++,,,,,,,,,++++++------,,,,,,,,,,,,,,,,,,*********++++++++++++,,,,,,,,,---------.........------------,,,++++++***---,,,---000///,,,---111///...------,,,---------,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++************+++,,,++++++++++++,,,---...------,,,,,,,,,,,,+++++++++,,,......,,,,,,,,,---,,,------......------,,,,,,,,,,,,---------.........------,,,------......++++++,,,,,,---.........---///111111///...///000000000/////////............................................................//////000000//////..................///000000111000000//////.........///////////////////////////...------------------,,,------...//////......,,,---......//////..............................////////////................................................---------------------------.........---------............///---...//////...---+++***........................,,,,,,,,,------------...---------------------------------------------------------------------------------............///,,,---...//////...---,,,---------............///...000222111///---,,,---...------------,,,,,,,,,---............---,,,,,,,,,---............---,,,........................------...///000000000///......---,,,,,,,,,------////////////////////////........................////////////000000000111/////////......///////////////000000000000000000///////////////////////////............///000000000000000////////////...************************++++++***************++++++***)))(((((((((******************************,,,,,,+++*********++++++,,,***)))***++++++***)))$$$&&&((((((((()))+++---***************+++,,,---******************************))))))******+++,,,---+++***+++,,,,,,+++))),,,++++++******++++++,,,+++,,,,,,,,,,,,,,,,,,+++*********++++++++++++,,,...---,,,,,,++++++++++++,,,+++***+++---...---,,,++++++,,,,,,++++++******++++++,,,,,,,,,,,,+++++++++++++++++++++,,,------...---,,,,,,,,,,,,+++*********+++,,,+++***)))(((+++************++++++,,,++++++,,,,,,,,,,,,+++*********************)))))),,,+++++++++++++++,,,,,,++++++++++++++++++++++++*********)))))))))))))))+++++++++******+++++++++************++++++++++++((()))+++,,,,,,+++)))(((++++++++++++++++++++++++,,,,,,,,,++++++*********((()))***+++++++++++++++***++++++,,,,,,,,,++++++++++++++++++,,,,,,------))))))*********+++++++++,,,,,,,,,,,,------------.........---,,,+++***)))***+++,,,---,,,,,,---///...---------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,***,,,------,,,++++++,,,,,,------......------,,,,,,,,,---------.........------------......//////,,,,,,---------.........,,,...000000///...///000111111000000000/////////............////////////------...............///...//////////////////..................///000000000000/////////.........////////////////////////------,,,+++************------...............---,,,---......///.................................///////////////.........................................................,,,,,,------......//////---------............///...////////////...---,,,////////////////////////------------------------------------------------------------------------,,,,,,---------------------------............///------............---------------............///,,,///111111000---,,,,,,------------------------------............------------............------........................,,,---...///000000111000///......---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,............................../////////000000000//////............//////------------............////////////////////////............/////////000////////////////////////************************+++***************+++++++++***)))(((((()))***+++************************+++******)))))))))******+++***)))***+++,,,+++)))&&&((())))))(((((()))+++)))))))))))))))***+++,,,******************************))))))******+++,,,,,,+++******,,,,,,+++***,,,,,,++++++++++++,,,,,,,,,,,,,,,------,,,,,,,,,++++++++++++,,,,,,,,,,,,...---,,,,,,++++++++++++,,,+++***+++---...---,,,,,,,,,,,,,,,,,,+++******(((((()))******)))((((((***************+++,,,,,,+++...000...***(((***---******+++,,,+++***)))(((+++++++++++++++,,,------***++++++,,,,,,,,,+++***++++++++++++++++++++++++,,,,,,+++++++++++++++,,,++++++++++++++++++++++++))))))))))))))))))))))))******))))))))))))******))))))*********+++++++++(((***+++------+++***(((++++++++++++++++++++++++,,,,,,,,,++++++*********((()))******++++++++++++++++++,,,,,,,,,++++++***'''((()))***+++,,,---...))))))*********+++++++++++++++++++++,,,,,,,,,,,,.........---,,,+++***)))***------,,,***++++++,,,,,,,,,------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------------,,,,,,---,,,,,,,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,***,,,------,,,++++++,,,,,,------......------,,,,,,,,,,,,---------......,,,------....../////////.............../////////***,,,......---------...111111111111111111111111......//////////////////,,,---------......//////......////////////.....................///000000////////////............////////////////////////......---,,,+++++++++,,,////////////...---,,,+++,,,---......///..........................................///////////////////////////////////////////////////////////////---------....../////////---------............///000000000000000//////...,,,,,,,,,,,,,,,,,,,,,,,,------------------------------------------------------------------------,,,,,,,,,---------......---------............///000///---,,,,,,---///000---------............///))),,,///000///---------------------------------------...//////......---................................................,,,,,,...///000000000000.........------,,,,,,+++++++++++++++++++++++++++........................------........./////////...------,,,,,,------...,,,---------......//////........................---......///////////////.............../////////+++++++++************************)))******+++,,,******************+++,,,++++++++++++++++++++++++***)))))))))))))))******+++)))))))))+++,,,+++***(((*********((('''((())))))))))))((())))))******************************+++************+++,,,,,,+++***)))***,,,---,,,+++,,,,,,++++++++++++,,,,,,,,,,,,------------,,,,,,++++++++++++,,,,,,,,,---------,,,+++++++++,,,,,,,,,+++***+++,,,------+++------------,,,+++***))))))***+++,,,,,,+++***)))******))))))******+++,,,)))...111///***(((+++000,,,,,,---...---,,,+++***+++++++++++++++,,,---...***************++++++++++++++++++++++++,,,,,,,,,,,,,,,+++************+++++++++++++++++++++++++++))))))))))))***************))))))))))))))))))***)))))))))************+++)))***+++,,,,,,+++***))),,,,,,,,,++++++++++++***,,,,,,++++++++++++++++++))))))******+++*********++++++,,,,,,,,,+++******''''''((()))+++,,,------*********++++++++++++,,,*********+++++++++,,,,,,------------,,,++++++***,,,000000---+++,,,---++++++,,,,,,------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------............---,,,,,,---------,,,++++++++++++,,,,,,,,,,,,------+++,,,......,,,,,,,,,---,,,------......------,,,+++++++++,,,,,,,,,------+++,,,---...............////////////////////////)))+++------,,,,,,---...///000000111111222222333////////////////////////,,,,,,,,,---......//////---......//////......---...............///000000........................////////////////////////111000//////////////////000000000///...,,,+++***,,,---......//////.......................................////////////////////////////////////////////////000000000000000.............../////////---------............///////////////////////////------------------------...------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------------------+++,,,,,,------.........---------............///111///---++++++---///111---------............///)))+++---......---......,,,,,,,,,------------...------...////////////...//////...------...//////........................,,,,,,---.../////////...------.........---,,,,,,------------------------........................------------............------,,,,,,,,,,,,------......//////000111111111........................---......///000/////////---............/////////+++++++++*********))))))******))))))***++++++,,,******+++,,,,,,,,,,,,,,,++++++++++++++++++++++++))))))))))))***+++,,,,,,***)))((()))+++,,,+++***)))***+++***)))))))))+++++++++******))))))******************************+++++++++++++++,,,------***))))))***,,,...---------,,,,,,++++++,,,,,,---,,,,,,------------,,,,,,************++++++++++++,,,,,,+++++++++,,,------+++***)))***,,,,,,,,,+++------------,,,+++***))),,,---///000000///---,,,+++************+++,,,,,,+++---......,,,+++---///,,,,,,---...---,,,+++***)))))))))******+++,,,---))))))((((((((()))++++++)))*********++++++++++++,,,+++***)))))))))))))))************************)))))))))******++++++++++++******))))))******+++))))))))))))************++++++++++++++++++++++++,,,,,,,,,+++++++++******++++++++++++++++++,,,,,,)))************))))))(((+++,,,,,,,,,,,,+++***)))******+++++++++++++++,,,++++++++++++,,,,,,,,,,,,+++++++++,,,,,,,,,------,,,,,,,,,------,,,+++++++++000111,,,+++---...,,,***+++,,,---...------,,,,,,,,,,,,,,,,,,,,,,,,,,,+++,,,---.........------***+++,,,---------,,,++++++++++++,,,,,,---------,,,---//////---,,,---...,,,------......------,,,*********+++++++++,,,,,,)))***,,,---.........---........................)))+++---...------...///,,,,,,---///000111222333111111000000//////......++++++,,,------...//////---......//////......---...............///000000........................//////////////////////////////////////////000111.../////////...---,,,,,,,,,---......//////........................................../////////000////////////////////////........./////////000000////////////............---------............///......------------......000000000000000000000000......---------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------------------++++++,,,,,,---......///---------............//////...------------...///---------............///,,,---///...------...///,,,,,,,,,---------......------...///////////////000///...------...///000........................,,,,,,---------------,,,+++,,,---.........---,,,////////////////////////....................................////////////......------------............//////000111111222........................------///000000000///...---------.........//////++++++++++++******))))))******))))))***+++,,,,,,)))***,,,---...------,,,++++++++++++++++++++++++************+++,,,---...***)))((()))+++,,,,,,***(((***++++++******+++---------,,,+++************)))))))))))))))))))))))),,,,,,++++++,,,,,,---...)))((((((***---.........---,,,,,,++++++,,,,,,---,,,------......------,,,))))))))))))************++++++++++++,,,------...***)))((()))+++,,,+++***---...------,,,+++***)))***+++---......---+++***,,,,,,++++++,,,,,,---...---++++++,,,...///...---******+++,,,+++***)))((((((((((((((()))***+++,,,)))((('''&&&'''(((***,,,(((((())))))*********+++++++++***)))(((((())))))))))))))))))))))))))))))))))))******+++++++++,,,,,,++++++++++++++++++,,,))))))))))))************,,,++++++******++++++,,,,,,,,,,,,++++++******************++++++,,,,,,---***************)))(((''',,,,,,,,,,,,,,,+++***)))......---,,,,,,+++******++++++,,,,,,,,,---------,,,,,,,,,---------......++++++,,,---------,,,,,,(((...///***)))---...+++)))***,,,---...------,,,,,,,,,,,,,,,,,,,,,,,,,,,)))***,,,---...---,,,,,,***+++,,,---...---,,,,,,+++++++++,,,,,,---------,,,...//////...------...,,,------......------,,,))))))*********+++++++++(((***+++---......------------------------------***,,,...///......///000)))***+++---///000222222222111111000///......---++++++,,,,,,---...//////---..................---...............///000000---.....................////////////////////////,,,,,,,,,,,,------...///,,,---......///.........,,,---......//////..............................---.........//////000000000000000000000000000000---------.........//////000000//////......---------------.........//////,,,,,,+++++++++,,,,,,---------------------------.........------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------------------++++++,,,,,,---...//////---------.........//////------...//////...---------------.........//////000111000///---,,,---///,,,,,,,,,------.........------...///000000//////000///...------...///000........................,,,,,,,,,---,,,,,,++++++***+++---...///...------////////////////////////........................////////////000000000000//////............//////,,,,,,,,,---...//////000........................,,,---///000000000///...---------.........//////+++---...---,,,******+++))))))*********+++++++++'''((()))***,,,---......------,,,+++******++++++***************+++++++++,,,,,,++++++******++++++******+++++++++,,,,,,,,,)))************+++++++++//////---+++***)))(((((())))))((((((((()))+++,,,,,,,,,,,,++++++*********---,,,+++*********+++,,,......---,,,,,,+++******------------------------(((((((((((()))***+++,,,******************++++++++++++,,,,,,,,,,,,------,,,,,,,,,++++++*********---------,,,,,,+++++++++,,,,,,+++***)))((('''&&&)))***++++++***)))***+++---------,,,,,,+++++++++,,,------......------,,,))))))***+++,,,------...,,,******,,,---,,,(((%%%,,,,,,,,,+++++++++******))))))))))))))))))))))))******))))))******+++,,,((((((((((((((((((((((((++++++************++++++************************((()))***++++++***)))((())))))))))))))))))))))))((())))))))))))*********))))))***++++++++++++*********+++++++++,,,,,,,,,+++***)))((((((***,,,---//////.........---------------------------------+++---///...,,,)))(((''',,,,,,,,,,,,,,,,,,,,,,,,///...,,,++++++,,,---...,,,,,,,,,,,,,,,,,,,,,,,,...---,,,,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,........................------------,,,,,,+++***---,,,,,,,,,,,,---......------------------------.........////////////000...------------...//////555444333000---,,,...000......------------......//////............////////////////////////////////////.........---------...............///000000//////.........---------------............------........................000///...------...///000////////////////////////............////////////,,,---///111111111111000------............------------------------------........................222111000.........///000,,,,,,,,,------.........------------------------...------------...////////////.........---------------------------------------------------------//////.........---------+++,,,---.........,,,,,,---......///000/////////////////////////////////.../////////000000111111000///......///000///---///////////////.........,,,,,,------.../////////........................///...---,,,,,,---...//////////////////...............------------......////////////000000000000//////---,,,,,,---...///---------............///---------.........//////...///000///---++++++,,,,,,,,,,,,---------......///......---,,,++++++***+++******)))(((((())))))******++++++,,,,,,,,,------,,,++++++************************+++++++++,,,)))************+++++++++************+++,,,---...,,,+++*********+++,,,---,,,,,,,,,+++++++++******,,,,,,+++******++++++,,,---------,,,,,,+++++++++------------------------,,,,,,+++***))))))))))))************************+++++++++,,,,,,,,,------,,,,,,,,,+++++++++******,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,,,,,,,---------***,,,---,,,+++***+++,,,---------,,,,,,+++++++++***++++++,,,,,,++++++************************++++++***)))+++---,,,***''',,,,,,,,,+++++++++************************************))))))******+++,,,************************++++++************++++++************************)))***+++,,,,,,+++***)))************************)))))))))*********++++++******+++,,,,,,,,,,,,,,,******+++++++++,,,,,,,,,,,,+++***))))))+++,,,......---------,,,,,,,,,,,,++++++++++++++++++++++++***,,,//////---+++++++++,,,,,,,,,,,,,,,,,,,,,,,,///......------.........------------------------------,,,+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,........................---............---,,,+++---,,,,,,,,,,,,---......------------------------------.........////////////............///000000444444222000------...000///......------....../////////............////////////////////////////////////.........---------...............///000000000000/////////.........------............------........................000///...------...///000////////////////////////....../////////000000000,,,---...///////////////---......//////......---------------------------........................111000///---------...///,,,,,,------------------------------------------...------------.../////////.........------------------------------------------------------------//////.........---------------...............---------...////////////...////////////////////////,,,,,,,,,,,,------------...,,,+++,,,---...---+++/////////......---------...............---------..............................------------....../////////////////////.........------------............/////////000000000///...------------...///........./////////000000---------.........//////111222222111///,,,,,,,,,)))*********++++++++++++'''((()))***+++,,,,,,,,,+++***))))))((()))))))))******+++,,,------.........---,,,+++***))))))))))))))))))*********++++++)))************+++++++++(((((()))***+++---///000...------,,,,,,,,,,,,---,,,,,,,,,,,,++++++++++++,,,++++++******+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------------------------,,,+++************************************++++++++++++,,,,,,,,,,,,,,,,,,,,,++++++++++++***+++++++++,,,,,,,,,,,,,,,,,,,,,---------.........+++,,,------++++++,,,---------,,,,,,,,,,,,++++++******++++++++++++***************)))))))))((((((+++***)))***,,,,,,+++***,,,,,,,,,+++++++++************************************))))))******+++,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++************++++++************************++++++,,,,,,,,,,,,++++++++++++++++++++++++++++++************+++++++++,,,++++++,,,------------,,,******+++++++++,,,,,,,,,,,,,,,+++***+++,,,---...,,,,,,,,,,,,++++++++++++++++++++++++++++++++++++))),,,...///...------...,,,,,,,,,,,,,,,,,,,,,,,,......///////////////...........................,,,,,,+++++++++,,,------,,,,,,,,,,,,,,,,,,,,,,,,..............................//////......---------,,,,,,,,,,,,---......------------------------,,,---------............///////////////000111111333333222000------...000///......------....../////////............///////////////////////////////////////............---///............//////000000000000000000/////////------............------........................//////............///////////////////////////////////////000000000111111......---------......///---......//////......---------------------------........................///......------------...------------------,,,,,,------------------------...------------...//////............------------------------------------------------------------...............---------,,,,,,++++++++++++,,,,,,,,,,,,---...............000000000000000000000000///////////////.........---,,,+++,,,---...---,,,/////////...---,,,,,,+++//////......---,,,,,,+++---------------------------..................---......//////////////////......------------......------.........////////////......------...//////////////////000000000111------........./////////222333333111...,,,+++,,,((((((((()))))))))******%%%&&&)))+++...///000000,,,,,,+++++++++++++++,,,)))******+++,,,---.........---,,,***))))))))))))((())))))))))))*********))))))*********+++++++++,,,++++++******++++++,,,......------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++,,,,,,+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++,,,---......+++++++++******************++++++++++++,,,,,,,,,++++++++++++++++++++++++******++++++,,,,,,,,,------,,,,,,+++******))))))+++,,,---,,,+++***+++---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------,,,,,,******************))))))******))))))+++,,,------,,,,,,,,,+++++++++************************************))))))******+++,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++************++++++************************++++++++++++++++++++++++++++++++++++++++++++++++******+++++++++,,,,,,,,,***++++++,,,---,,,,,,,,,******+++++++++,,,,,,,,,---,,,,,,,,,,,,---...///,,,,,,,,,,,,,,,+++++++++------------------------***,,,......---,,,---...------------------------,,,---///000000///...---------------------------++++++++++++,,,,,,---...------------------------........................------............---------,,,,,,,,,,,,---..............................,,,,,,,,,---------......//////......//////000111111111111000...---///000//////............////////////............///////////////////////////////////////...............//////............///000////////////////////////------............------......................../////////....../////////////////////////////////000000000000111111111111000///...---,,,---...///......////////////......................................................///..............................------,,,,,,,,,------------------------...------------...//////------------------------------------------------...................................................---,,,+++++++++,,,---+++,,,------......------000000000000000000000000111111000000//////.........---,,,---///000///...//////...---,,,++++++***.........------,,,,,,,,,------------------------,,,---...//////...---,,,............////////////......------------......------------.........///.............../////////....../////////000000000............////////////000111222000---+++***+++++++++++++++,,,,,,,,,---111222333444444222111000,,,+++++++++++++++,,,,,,)))))))))***+++,,,,,,,,,---,,,+++***))))))))))))((())))))))))))*********))))))*********+++++++++------,,,+++************------,,,,,,,,,+++******,,,,,,,,,,,,,,,,,,,,,,,,******++++++,,,,,,,,,,,,+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++,,,---...///+++++++++*********))))))*********+++++++++,,,,,,++++++++++++++++++++++++*********++++++,,,,,,,,,++++++******))))))(((((()))+++,,,+++***)))***,,,,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,------,,,,,,+++))))))******+++,,,,,,---)))*********+++,,,...///,,,,,,,,,+++++++++************************************))))))******+++,,,++++++++++++++++++++++++++++++************++++++*********************************))))))***************************************+++++++++,,,,,,,,,)))******+++++++++++++++******+++++++++,,,,,,,,,------,,,---------......,,,,,,,,,,,,,,,---------------------------------+++,,,------+++******+++------------------------+++,,,---...///...------,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++,,,,,,---...////////////////////////........................+++,,,,,,---------,,,,,,---,,,,,,,,,,,,---..............................,,,,,,,,,---------............------......///000///000111000......///000/////////......///////////////............////////////////////////////////////////////////////////////............//////........................------............------...........................//////////////////...////////////////////////000000000000111111111111111000///.........///000...//////////////////...................................................////////////000/////////.........------,,,,,,,,,------------------------...------------...//////,,,,,,------------------------------------------........................---.....................222111///.........///000+++,,,------......------////////////////////////---------,,,,,,+++++++++...---,,,---///000///...///......---,,,,,,++++++,,,,,,,,,,,,------......------------------------,,,---...//////...---,,,---.........//////000000......------------......------------.........///---......//////000000000------........./////////........./////////000000///000000///,,,*********))))))*********+++++++++...///222444555444333333)))))))))((())))))***+++))))))*********+++++++++++++++***))))))))))))***)))))))))*********++++++)))************+++++++++************+++,,,------***+++++++++++++++***))),,,,,,,,,,,,------------))))))+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,......---,,,++++++++++++,,,,,,++++++***)))))))))************++++++++++++***++++++++++++,,,,,,,,,*********+++++++++++++++))))))***+++,,,,,,---...)))***++++++))))))***+++++++++,,,,,,,,,,,,------))))))************))))))))))))***+++,,,---......(((***,,,,,,+++,,,---///,,,,,,,,,+++++++++******++++++++++++++++++++++++******))))))******+++,,,************************++++++************++++++******************************)))(((((()))******))))))))))))))))))))))))************+++++++++,,,))))))***++++++++++++*********+++++++++,,,,,,,,,,,,,,,,,,---------......,,,,,,,,,,,,------------+++++++++++++++++++++++++++,,,---,,,***)))***+++------------------------++++++,,,---............,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++,,,------////////////////////////........................++++++,,,,,,---,,,,,,,,,---,,,,,,,,,,,,---..............................,,,---------............---------------...//////---///000000///...///000000//////......//////000//////............//////////////////////////////...////////////000000000000//////............///------------............------............------..............................////////////....../////////////////////////////////000000000111111000000/////////000000111...//////000000//////......................................................///000000111000000000------------------,,,,,,------------------------...------------...//////,,,,,,,,,,,,------------------------------------........................---------.....................---,,,++++++++++++,,,,,,---...............////////////////////////------------------,,,,,,+++***)))***,,,------,,,............------------***++++++,,,------......,,,,,,,,,,,,,,,,,,,,,,,,---..................---------......///000000000......------------......------........./////////------///000000000000000------------................../////////000000000---///000///---+++++++++''''''''''''(((((((((((($$$'''+++///222333333333))))))(((((()))******+++,,,,,,+++++++++*********)))))))))))))))******+++************+++++++++,,,)))************+++++++++)))))))))***+++---...///)))***+++,,,,,,++++++***,,,,,,,,,---------......((()))+++,,,------,,,,,,---------,,,,,,+++++++++++++++++++++++++++++++++...---,,,+++************,,,,,,++++++***))))))(((************++++++++++++******+++++++++,,,,,,,,,++++++++++++************)))******+++,,,---...///***+++,,,,,,******+++,,,+++++++++,,,,,,---------))))))************))))))))))))******++++++,,,,,,(((+++---...,,,+++,,,---,,,,,,,,,+++++++++******++++++++++++++++++++++++******))))))******+++,,,************************++++++************++++++************************++++++***))))))***++++++************************)))))))))*********++++++)))***++++++,,,,,,++++++******+++++++++,,,,,,,,,++++++,,,---------------***+++++++++,,,,,,,,,,,,+++++++++++++++++++++++++++,,,,,,,,,++++++,,,...........................,,,,,,,,,------...///000------------------------------,,,+++++++++,,,,,,------------------------........................+++,,,,,,---......---------,,,,,,,,,,,,---..............................------........./////////...............//////000,,,...000000///...///000000000////////////000000//////............//////////////////////////////.../////////000000000000000000///...............---.........////////////------............------........................---...///000000///...---////////////////////////....../////////000000000------...///000000000000//////000000000000//////................................................------///000000000//////,,,,,,------------------------------------------...------------...//////++++++,,,,,,,,,---------------------------------........................---------.........//////++++++++++++***)))((('''------...////////////...------------------------......///////////////000***))))))***,,,------,,,---............/////////,,,,,,,,,,,,,,,,,,,,,---,,,,,,,,,,,,,,,,,,,,,,,,......------------......------......///000000111......------------............/////////000000000,,,---///000111111000000............////////////.../////////000000000000---///000///---,,,,,,---************++++++++++++***,,,///111222111///...++++++******+++,,,------...------,,,,,,++++++***(((((((((((()))***+++,,,***++++++++++++,,,,,,,,,)))************+++++++++************+++,,,---...((()))+++,,,---,,,,,,+++,,,,,,,,,------.........((()))+++,,,------,,,,,,......---,,,,,,+++******++++++++++++++++++++++++************+++,,,------,,,,,,++++++***))))))((()))************+++++++++*********++++++,,,,,,,,,,,,+++++++++******)))))),,,,,,+++++++++++++++++++++,,,------++++++,,,---+++++++++,,,,,,---------++++++,,,,,,,,,,,,++++++************))))))))))))'''+++//////---++++++,,,,,,,,,,,,+++++++++******++++++++++++++++++++++++*********)))***++++++,,,************************++++++************++++++************************---,,,+++******+++,,,---++++++++++++++++++++++++((())))))))))))*********++++++,,,------------,,,******+++++++++,,,,,,,,,***+++,,,,,,------,,,,,,))))))******++++++++++++------------------------***+++,,,,,,,,,---///111..............................------...///111222...........................------,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,........................,,,------.../////////...---,,,,,,,,,,,,---......////////////////////////.........////////////000///////////////000111111+++---///000/////////111000000////////////000000//////............//////////////////////////////.../////////000000111111111000///................../////////000000111111---..................---........................---...///000000///...---////////////////////////............////////////***+++---///000000////////////000000000000//////////////////////////////........................+++,,,.../////////......,,,,,,,,,------.........------------------------...------------...//////+++++++++,,,,,,---------------------------------////////////////////////---------.........//////000000111111000...---+++---...//////000000//////------------------------***++++++,,,,,,---------,,,++++++,,,...//////...------......///000000000...------,,,,,,++++++***,,,,,,,,,,,,,,,,,,,,,,,,///...---,,,,,,---...///---------...///000000111.........------.........////////////000000000000,,,---///000111111111000////////////000000000000////////////000000000000((()))***+++,,,---------***)))(((((()))+++---...444000,,,+++,,,,,,+++)))***(((''')))+++,,,***'''))))))******+++++++++,,,***+++,,,---,,,***(((&&&************************,,,,,,,,,++++++*********************************,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++*********,,,,,,,,,++++++++++++***++++++******************++++++++++++++++++++++++++++++++++++++++++++++++---,,,,,,,,,++++++******))))))((((((''''''&&&&&&,,,,,,............,,,,,,))))))(((((()))+++---...***+++,,,------,,,+++***------,,,,,,,,,,,,+++++++++++++++++++++++++++,,,)))))))))))))))))))))))))))***+++,,,,,,+++***)))------,,,,,,+++******************++++++,,,,,,,,,+++++++++*********))))))---+++)))((('''((()))***++++++++++++++++++++++++,,,,,,+++++++++*********+++++++++,,,,,,---------,,,+++++++++,,,---......***++++++,,,,,,++++++***))))))))))))))))))))))))******+++++++++,,,,,,,,,++++++++++++++++++++++++************+++,,,------//////...---,,,++++++******,,,......---------...++++++,,,,,,,,,,,,------------------------------111111000000//////......,,,,,,,,,,,,,,,,,,,,,,,,/////////////////////////////////......---------,,,,,,,,,---------...............------,,,,,,,,,***++++++,,,---...//////............//////000000------............---------...000111111111000///000000000///......------////////////////////////////////////////////////////////////////////////////////////////////////000111222222111000///......---,,,,,,---...///000////////////............------...///////////////////////////////////////111000///......///000111000000000000000000000000//////............//////---...///111111///...---------............------000000//////......------...........................------,,,,,,------...,,,,,,,,,---------....../////////...---,,,***)))......---,,,---...///000................................................---,,,,,,++++++,,,,,,---------------------------......................../////////...---------,,,,,,------......------,,,,,,,,,,,,,,,,,,,,,,,,,,,+++,,,---......---,,,+++...------,,,,,,------...///............///000000////////////////////////////////////000000000000...------,,,,,,------...............////////////---...///000000///...---//////////////////////////////............//////******+++,,,------------))))))))))))***+++,,,,,,///,,,***)))+++,,,+++***+++)))((()))++++++)))'''******++++++++++++++++++))))))++++++,,,+++***)))************************,,,,,,,,,+++++++++******************************++++++++++++++++++++++++,,,,,,,,,+++++++++******,,,,,,,,,++++++*********++++++******************++++++++++++++++++******------------------------))))))))))))((((((''''''************))))))((((((+++,,,---......---,,,+++,,,++++++******+++,,,---+++++++++,,,,,,++++++++++++++++++,,,,,,---------------,,,,,,+++***)))))),,,,,,,,,,,,,,,,,,,,,,,,******++++++++++++*********************+++++++++******+++++++++,,,,,,,,,+++++++++*********))))))---,,,***)))))))))***+++++++++++++++++++++++++++///............---------++++++++++++++++++++++++)))))))))((())))))*********++++++,,,,,,++++++***++++++++++++++++++++++++******+++++++++,,,,,,,,,------------------------+++++++++***++++++,,,,,,,,,,,,,,,,,,,,,,,,++++++***,,,......---,,,---...++++++,,,,,,,,,,,,------------,,,,,,,,,,,,,,,,,,///...............------------------------------------------------------.........---------,,,,,,,,,,,,,,,---------......------------------,,,,,,,,,,,,,,,,,,,,,------------------....../////////------............------......//////000000000///////////////............///////////////////////////////////////////////////////////////////////////////////////////////////000000111000///...---111000///......///000111////////////............//////000111111111111111////////////////////////000000///......///000000000000000000000000000000//////............//////---...///000000///...---------............------////////////............------------------------...------,,,,,,------...,,,,,,---------.........------......------,,,,,,...------,,,---...///000................................................---,,,,,,++++++,,,,,,---------------------------.......................................---------,,,------......------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------------,,,...------,,,,,,------.........------......///000............................../////////000000000///......------......///............////////////---...///000000///...---//////////////////////////////............//////***+++,,,---............)))******+++++++++*********((('''(((***,,,,,,+++,,,*********+++***)))'''++++++++++++++++++******((())))))***++++++,,,,,,************************,,,,,,,,,++++++++++++***))))))))))))))))))))))))************************,,,,,,,,,++++++++++++***------,,,,,,+++***))))))******+++++++++++++++++++++++++++*********)))))),,,,,,,,,,,,,,,,,,,,,,,,++++++++++++************,,,,,,,,,+++++++++++++++***+++,,,------,,,+++***...---,,,,,,++++++,,,,,,,,,++++++++++++++++++,,,)))******+++---......///,,,,,,,,,++++++*********------------------------++++++************++++++)))******+++,,,,,,------***++++++++++++,,,,,,,,,+++++++++***************...---+++******+++,,,,,,++++++++++++++++++++++++,,,,,,,,,+++++++++******************************---,,,,,,++++++++++++,,,***++++++,,,,,,++++++***,,,,,,,,,,,,,,,,,,,,,,,,******+++++++++,,,,,,,,,......------,,,,,,++++++,,,,,,++++++***+++++++++*********++++++,,,,,,,,,***,,,......---,,,---...++++++,,,,,,,,,,,,------+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------........................++++++++++++++++++++++++------------,,,,,,,,,,,,,,,,,,,,,---------......,,,,,,---------------------------,,,,,,,,,++++++,,,,,,------------......------............------......------......///000............////////////////////////////////////////////////////////////////////////////////////////////////////////////....../////////...------111000//////.../////////////////////............//////000111111111111000//////////////////////////////...------...//////000000000000000000000000//////............//////---...///000000///...---------............------.............../////////,,,,,,,,,,,,,,,,,,,,,,,,......------------......,,,------------.........+++,,,,,,---.........---...------------...//////---------------------------------------------------,,,,,,++++++,,,,,,---------------------------........................---------...............,,,------......------,,,,,,,,,,,,,,,,,,,,,,,,,,,...------,,,,,,------......------,,,,,,------...---------------......///........................------.........//////////////////....../////////............////////////......////////////......//////////////////////////////............//////***+++,,,,,,---------,,,)))***+++,,,,,,+++)))((()))(((((()))***+++++++++,,,,,,+++++++++***((('''+++++++++******)))))))))******))))))***+++,,,,,,************************++++++++++++++++++++++++))))))))))))))))))))))))++++++++++++++++++++++++++++++++++++++++++++++++...------,,,+++***))))))******+++++++++++++++,,,,,,++++++******))))))((()))))))))))))))))))))))),,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++******,,,,,,,,,,,,******,,,,,,,,,+++++++++,,,,,,---,,,+++******+++,,,---******+++,,,,,,---......((())))))+++,,,---......++++++++++++++++++++++++,,,+++***))))))***+++,,,,,,,,,,,,,,,------......++++++++++++++++++++++++************************---,,,++++++++++++,,,,,,+++++++++++++++++++++++++++*********))))))))))))++++++++++++************///...---,,,,,,,,,,,,,,,***++++++,,,,,,++++++*********************************+++++++++,,,,,,,,,---,,,,,,+++***)))((((((------,,,+++************+++++++++++++++,,,,,,,,,***,,,...---,,,+++,,,---+++++++++,,,,,,,,,------******++++++++++++,,,,,,+++++++++,,,,,,------...------------------------++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------......,,,,,,,,,------.........------------------------,,,,,,,,,,,,,,,,,,,,,,,,------............------......---,,,,,,...///000---------...///000000111////////////////////////////////////////////////////////////////////////////////////////////////.........///............---------------------...////////////............,,,---......//////......////////////////////////.........------.........//////////////////////////////............//////......///000000///......------............---------------....../////////,,,,,,,,,,,,,,,,,,,,,,,,......------------......------------............+++,,,------......------------------......//////---------------------------------------------------,,,,,,++++++,,,,,,---................................................,,,---------.../////////,,,------......------,,,------------------------...---,,,++++++,,,---......------,,,,,,------...---,,,,,,,,,,,,---..............................------------........./////////............//////............////////////...//////////////////...//////////////////////////////............//////)))******++++++++++++***)))***+++,,,,,,+++)))(((++++++,,,++++++*********,,,,,,,,,,,,***)))((((((******))))))(((((((((''',,,,,,+++***))))))******************************++++++++++++++++++++++++)))))))))))))))))))))))),,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++------,,,,,,+++***))))))******++++++,,,,,,,,,,,,++++++++++++******))))))))))))))))))))))))))))))((((((((()))))))))))))))++++++++++++++++++++++++******,,,,,,,,,,,,******((()))******+++,,,,,,,,,---,,,+++******+++,,,---,,,,,,,,,,,,,,,,,,,,,,,,((())))))+++,,,---......++++++++++++++++++++++++,,,+++***))))))***+++,,,---,,,,,,,,,+++++++++***++++++++++++++++++++++++************************++++++*********+++++++++++++++++++++++++++++++++------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++***))))))((())))))***++++++,,,,,,++++++*********************************+++++++++,,,,,,,,,,,,,,,+++***))))))((((((------,,,+++************///......---,,,+++++++++***,,,------,,,++++++,,,+++++++++,,,,,,,,,------*********++++++,,,,,,,,,,,,,,,------......//////,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------......,,,,,,,,,------.........,,,------...///000000000,,,,,,,,,,,,,,,,,,,,,+++------............------......---,,,,,,...///000,,,------...///000111111/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////000***++++++,,,---......///////////////............,,,,,,---...............////////////////////////---..................---//////////////////////////////............//////......////////////......------............------,,,,,,------......//////------------------------///......------......///---------.........//////------......------,,,+++---------...............---------------------------------------------------,,,,,,++++++,,,,,,---................................................,,,---------.../////////,,,------......------,,,------------------------...---,,,++++++,,,---......------,,,,,,------...---,,,,,,,,,,,,---..............................------------.........///...------,,,,,,------.............../////////////////////......///////////////////////////////////////............//////))))))************)))))))))******+++++++++******,,,...///...+++***)))******,,,---,,,***))))))***)))))))))))))))(((((((((,,,,,,++++++***))))))(((***************************++++++++++++,,,,,,,,,************************,,,,,,,,,,,,,,,,,,,,,,,,***++++++++++++,,,,,,,,,,,,,,,,,,+++++++++************++++++,,,---------++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,)))))))))************+++)))************+++++++++***+++,,,------,,,+++***'''''')))***+++,,,,,,,,,,,,++++++++++++++++++,,,---------,,,,,,+++++++++,,,,,,,,,++++++*********------------------------++++++************++++++++++++***))))))((('''''',,,,,,,,,++++++++++++******************+++++++++*********+++++++++++++++++++++++++++++++++++++++,,,,,,,,,+++++++++******++++++,,,,,,,,,---------,,,,,,+++*********++++++***++++++,,,,,,++++++***------------------------******+++++++++,,,,,,,,,------,,,,,,++++++******,,,,,,++++++***+++++++++000//////...,,,++++++***+++,,,------+++******+++++++++,,,,,,,,,,,,------******++++++,,,,,,------............////////////,,,,,,,,,,,,,,,,,,,,,,,,........................,,,,,,,,,,,,------------,,,,,,,,,---------......,,,,,,------------------,,,,,,---...///000111111------,,,,,,,,,,,,++++++------............------......------......///000---------...///000000111//////////////////////////////////////////////////////////////////////////////////////////////////////......//////000111,,,,,,...//////000//////////////////..................///000000000000///////////////////////////---...////////////...---000000000000000000000000//////............//////////////////////////////------............---------------------.................................//////............//////------........./////////---.........---,,,,,,+++,,,---......//////......,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---,,,,,,++++++,,,,,,---................................................---------...............,,,------......------,,,------------------------...------,,,,,,------......------,,,,,,------...---------------......///------------------------------........./////////------,,,,,,,,,,,,------............//////////////////............////////////////////////////////////............//////******+++++++++******)))))))))))))))***+++,,,,,,+++---///...+++))))))***)))+++------+++)))***,,,************++++++++++++)))***+++,,,++++++))))))******************************+++++++++,,,,,,,,,++++++++++++++++++++++++++++++++++++++++++++++++******+++++++++,,,,,,,,,***++++++++++++,,,,,,,,,******++++++,,,------...+++++++++,,,------......------------------------++++++,,,,,,,,,---------)))*********+++++++++++++++,,,---......---,,,+++))))))+++,,,,,,,,,,,,++++++++++++,,,,,,+++++++++,,,,,,,,,,,,,,,,,,,,,,,,------,,,,,,+++***)))))),,,,,,,,,,,,,,,,,,,,,,,,******++++++++++++******************************,,,,,,,,,+++++++++******))))))*********+++++++++***++++++,,,,,,,,,,,,,,,++++++++++++++++++++++++))))))))))))(((((((((((())))))***+++,,,------...------,,,,,,------......***++++++,,,,,,++++++***------------------------******+++++++++,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++***++++++,,,,,,---------,,,,,,,,,+++++++++,,,------+++******+++++++++,,,,,,,,,,,,------+++++++++,,,------....../////////...............------------------------------------------------,,,,,,---------.........,,,,,,,,,---------......------------------,,,,,,+++,,,,,,,,,------.........---------,,,,,,,,,,,,------............------......//////000000000///------......//////000000////////////////////////////////////////////////////////////////////////////////////////////////......---------...///000...////////////...---,,,////////////............---...//////000000//////////////////////////////...///000000000000///...000000000000000000000000//////............////////////............//////------............------...------------------,,,------------------------//////............//////............////////////,,,,,,------......------,,,---.../////////...---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---,,,,,,++++++,,,,,,---...............................................................---------,,,------......------,,,........................,,,------------------,,,...------,,,,,,------.........------......///000------------------------....../////////000000000......------------..................////////////000///...------...///000//////////////////////////////............//////++++++,,,,,,,,,++++++******)))(((((()))+++---...))),,,......+++)))***+++(((+++------+++***+++---+++++++++,,,,,,------...'''(((***,,,---,,,+++************************************++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,*********************************++++++,,,,,,,,,)))******++++++,,,------******+++,,,,,,---......***+++,,,,,,......///000++++++++++++++++++++++++(((((()))))))))******************++++++,,,,,,,,,,,,,,,............,,,,,,+++,,,---...---,,,+++******+++,,,------,,,+++*********+++,,,------...///+++++++++++++++++++++,,,)))))))))))))))))))))))))))***+++,,,,,,+++***)))+++,,,,,,------......///,,,,,,,,,++++++*********))))))******+++++++++++++++,,,------.........---++++++++++++++++++++++++,,,,,,,,,,,,+++++++++***''''''(((***+++,,,---...))))))))))))***++++++,,,+++++++++,,,,,,+++++++++++++++++++++++++++++++++******+++++++++,,,,,,,,,)))))))))))))))*********************+++,,,------***++++++++++++,,,,,,,,,+++,,,------+++*********++++++,,,,,,,,,---------++++++,,,------...///////////////......---------........................---------------------------------....../////////,,,,,,,,,---------...............------,,,,,,,,,,,,,,,++++++++++++******.........------,,,,,,,,,---..................------...000111111111000///.........///////////////////////////////////////////////////////////////////////////////////////////////////////////////---,,,,,,+++,,,---///////////////...,,,***(((&&&000/////////............+++,,,------......------////////////////////////...///000111111000///...000000000000000000000000//////............////////////............//////---..................---.........------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,//////............//////............/////////000)))***,,,---.../////////,,,,,,.../////////...---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---,,,,,,++++++,,,,,,---////////////////////////......................../////////......------,,,,,,------......------,,,........................+++,,,............,,,+++...------,,,,,,------...///............///000000------------------------////////////000000000000//////............//////............/////////000000///...------...///000//////////////////////////////............//////++++++******************000,,,)))((())))))'''$$$---,,,+++***)))))))))))))))************++++++++++++,,,------------,,,+++******+++++++++,,,,,,,,,,,,,,,***)))((((((''''''///...---,,,+++*********++++++++++++++++++++++++++++++++++++++++++++++++.........------,,,,,,,,,,,,+++***))))))***+++,,,---,,,++++++------,,,+++---,,,+++*********+++,,,,,,,,,,,,,,,,,,,,,,,,,,,------,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++************************,,,,,,,,,,,,,,,,,,,,,,,,000---,,,---///000...,,,++++++++++++++++++++++++,,,---///000000///---,,,************))))))((((((+++*********+++,,,------++++++++++++++++++++++++---,,,,,,+++*********+++,,,+++******)))*********''''''(((((())))))******---,,,++++++*********+++)))************+++++++++******+++++++++,,,,,,,,,************************,,,++++++******++++++,,,******++++++++++++******---,,,,,,++++++,,,,,,---***,,,...---,,,***))))))************)))))))))))),,,,,,,,,,,,++++++***)))+++,,,---------,,,+++***,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,/////////......---------,,,,,,,,,------.........+++,,,------......------111000...,,,,,,,,,...///,,,,,,------...---------.........------,,,,,,,,,,,,,,,,,,---------..............................,,,---...//////...---,,,///---,,,...111333222000//////000000///...------........................///............---------..................------......---,,,+++)))((('''//////////////////////////////.........---------////////////...---,,,+++---...............------........................//////000000///...------000000//////.........---000000000000000000000000...............------,,,,,,---...---,,,,,,---......------,,,,,,------...................................................------------------------......---,,,---...///000,,,---------.../////////...------,,,,,,------...,,,,,,,,,,,,,,,,,,,,,,,,---,,,,,,,,,,,,---......------------------------......---------,,,,,,,,,+++,,,------......------***++++++,,,---...//////------++++++++++++------///---***((()))+++...000,,,------......------,,,------,,,,,,------...///......------------......////////////////////////------------------------...............///000000................................................,,,,,,,,,,,,---...000000************************)))((('''(((***,,,,,,,,,------,,,++++++***++++++************++++++++++++)))***++++++++++++***)))******+++++++++,,,,,,,,,,,,+++******))))))))))))------,,,+++***************+++++++++,,,,,,------************************---------,,,,,,,,,++++++,,,,,,+++******+++,,,,,,---+++***+++,,,---,,,+++)))(((((()))***,,,...///,,,,,,,,,,,,,,,,,,,,,,,,+++++++++++++++,,,,,,,,,++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,+++++++++---+++***+++---...,,,***++++++++++++++++++++++++---,,,,,,,,,,,,,,,,,,---,,,,,,+++***************++++++++++++++++++,,,,,,++++++++++++++++++++++++,,,+++******)))))))))***,,,++++++***************)))***************+++++++++++++++******))))))))))))************++++++++++++++++++++++++++++++,,,************************,,,++++++++++++++++++,,,******++++++++++++******+++******))))))******+++***+++------+++*********++++++++++++************++++++,,,,,,,,,+++******,,,---...//////...---,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,.........---------,,,,,,,,,,,,,,,---------......+++,,,------......------...---+++******+++,,,---------------------,,,,,,......---------,,,,,,,,,,,,,,,,,,---------..............................,,,---...//////...---,,,...,,,,,,---000111000///...............---,,,,,,............------------///............---------....................................---,,,++++++//////////////////////////////.........---------------...............------...............------........................///////////////...------//////......------------////////////////////////...////////////...------,,,...///...---,,,---...///......------......///................................................------------------------...---,,,,,,,,,---...///---------...............------,,,,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,---,,,,,,,,,,,,---......------------------------......---------,,,,,,,,,---,,,+++******,,,---...+++,,,,,,------.........------,,,++++++,,,------...,,,+++******,,,...///,,,------......------,,,,,,,,,,,,,,,,,,---............------------......////////////////////////.......................................///000000................................................000000000000000111222333************************---...---+++)))((()))***...---,,,,,,,,,,,,------************+++++++++,,,)))******++++++******)))******+++++++++,,,,,,,,,++++++************+++++++++******))))))******+++******+++,,,---......///)))))))))))))))))))))))),,,,,,,,,+++++++++++++++---,,,,,,++++++,,,,,,---,,,*********+++,,,+++***((((((((()))***+++,,,---,,,,,,,,,,,,,,,,,,,,,,,,))))))******++++++,,,,,,++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++---+++***+++,,,---,,,***,,,,,,,,,,,,,,,,,,,,,,,,---+++***((((((***+++------,,,+++*********+++,,,***+++,,,---,,,+++***)))+++++++++++++++++++++++++++***))))))((())))))))),,,,,,+++***************,,,,,,,,,,,,,,,+++++++++))))))***+++***)))(((''')))************+++++++++++++++++++++++++++++++++************************++++++++++++++++++++++++******++++++++++++******+++******))))))******+++)))+++,,,,,,+++++++++,,,---,,,,,,,,,,,,+++++++++******+++,,,,,,,,,++++++,,,,,,............---,,,------,,,,,,+++++++++***,,,,,,,,,,,,,,,,,,,,,,,,------------,,,,,,,,,,,,,,,,,,,,,------------...+++,,,------......---------,,,+++***+++,,,---............------,,,,,,+++...------------,,,,,,,,,,,,,,,,,,---------..............................------............---------,,,+++---///000///...------------------,,,+++.........------,,,,,,,,,///............---------..............................///////////////...////////////////////////...............---------+++,,,---...////////////------...............---........................///////////////......---......---------------,,,///////////////////////////////////////......------...//////------...////////////....../////////................................................------------------------,,,,,,,,,,,,,,,---.....................---------,,,,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---,,,,,,,,,,,,---......------------------------......---------,,,,,,,,,...,,,)))'''(((***---///------------------------------,,,,,,,,,,,,------,,,,,,,,,+++,,,------...,,,------......------,,,,,,,,,++++++,,,,,,---.........------------......////////////////////////////////////////////////...............///000000......................../////////////////////////////////...//////000000***************+++++++++///111111...)))&&&'''***,,,,,,,,,,,,,,,---......*********+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,******+++++++++,,,,,,,,,++++++******+++,,,,,,---***************+++,,,,,,******+++,,,...///000000************************++++++******************,,,,,,,,,++++++,,,,,,,,,+++***))))))++++++***)))---,,,+++***(((''''''&&&++++++++++++++++++++++++'''(((((()))***++++++,,,************************,,,,,,,,,,,,,,,,,,,,,,,,***************+++++++++...------------...------,,,,,,,,,,,,,,,,,,,,,,,,,,,+++***))))))***+++,,,---,,,***))))))***+++,,,***+++---...---+++)))(((************************+++******)))))))))******,,,,,,+++************+++---------,,,,,,++++++***((()))+++,,,,,,***)))'''))))))*********+++++++++,,,,,,,,,++++++++++++***************************++++++++++++++++++++++++******++++++++++++******---,,,,,,++++++,,,,,,---(((***,,,,,,++++++,,,---,,,,,,,,,,,,++++++++++++)))***++++++,,,,,,,,,,,,))))))+++,,,,,,+++******------,,,,,,+++*********,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------------------+++,,,------......---------------------...///000//////...---,,,+++++++++------------------------,,,,,,,,,---------..............................---------------------------------....../////////------.........------,,,.........---,,,,,,++++++///............------------------..................//////000000//////...////////////////////////........................,,,------...//////......,,,---......///....................................///////////////..............................//////////////////////////////000000//////...---...///000///.........000//////............//////................................................------------------------++++++++++++,,,,,,------/////////...---------,,,,,,++++++******++++++,,,---------------------------,,,,,,,,,,,,---......------------------------......---------,,,,,,,,,---,,,***))))))+++---///.........------,,,,,,,,,---------,,,,,,---------+++,,,,,,---------------,,,------......------,,,,,,++++++++++++,,,------......------------......////////////////////////.......................................///000000........................000000000000000000000000//////......---.........))))))*********+++++++++))),,,...---+++***---111************+++---...///***++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,******+++++++++,,,,,,,,,************+++,,,------+++++++++++++++,,,---...******+++,,,...///000000++++++++++++++++++++++++******************************++++++++++++******+++***))))))++++++***)))///...---+++(((&&&$$$###++++++++++++++++++++++++''''''((()))******++++++************************,,,,,,,,,,,,,,,,,,,,,,,,))))))*********+++++++++,,,------------,,,------,,,,,,,,,,,,,,,,,,,,,,,,***+++,,,------,,,+++***+++***)))(((((()))***+++***+++---...---+++)))(((************************++++++*********++++++,,,---,,,,,,+++***+++++++++,,,,,,++++++******))))))(((***,,,------,,,***)))))))))*********+++++++++++++++++++++++++++++++++***************************++++++,,,,,,++++++*********++++++++++++******---,,,,,,++++++,,,,,,---)))***++++++***+++,,,...,,,++++++++++++*********)))***++++++,,,,,,,,,,,,'''(((***+++++++++******,,,,,,,,,++++++*********,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------------------+++,,,------......------------------......///000000///...,,,+++++++++,,,------------------------,,,,,,,,,---------..............................---------,,,,,,---------...///////////////000000---....../////////...............------,,,,,,,,,///............------------------.........////////////000//////...---,,,////////////////////////---...........................//////...------,,,,,,------...//////....................................///////////////...///////////////000000000........................///////////////......---...///000///.........000...------,,,,,,------...................................................------------------------++++++,,,,,,,,,,,,---,,,/////////...---------,,,,,,++++++******++++++,,,---------------------------,,,,,,,,,,,,---......------------------------......---------,,,,,,,,,,,,,,,,,,,,,------------.........------,,,,,,+++------------------------+++,,,---.........------,,,------......------,,,,,,,,,++++++,,,,,,---.........------------......////////////////////////------------------------...............///000000........................000000000000000000000000222222111000000000111111)))))))))***++++++,,,,,,---------,,,+++***+++---((())))))***,,,---///000++++++++++++,,,,,,,,,,,,+++******))))))******+++******+++++++++,,,,,,,,,***************+++,,,---,,,+++++++++,,,------...******+++,,,---......///++++++++++++++++++++++++***************+++++++++)))******++++++******))),,,*********+++,,,+++******+++++++++***)))((((((++++++++++++++++++++++++(((((())))))******++++++************************,,,,,,,,,,,,,,,,,,,,,,,,))))))******+++,,,,,,,,,)))+++,,,+++***)))***,,,,,,,,,,,,,,,,,,,,,,,,,,,***,,,...//////...,,,***((()))))))))***************+++,,,---,,,+++***)))************************++++++++++++++++++,,,---------,,,+++++++++++++++***************))))))))))))***+++,,,---,,,++++++)))************+++++++++******+++++++++,,,,,,,,,***************************+++,,,------,,,+++*********++++++++++++******+++******))))))******+++***+++,,,+++******,,,---++++++++++++******************+++,,,,,,,,,++++++((()))+++,,,------,,,+++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------...------------,,,,,,,,,+++,,,------......------++++++,,,,,,,,,,,,,,,,,,000///---,,,++++++,,,---,,,,,,,,,------------...,,,,,,,,,---------..............................------,,,,,,,,,,,,------...000111000//////000111---...//////000/////////........................///............---------,,,,,,------.../////////////////////...---,,,+++////////////////////////---------...............////////////...---,,,+++,,,,,,---...////////////........................---.../////////////////////000000000000111111111.......................................------,,,---...//////------...///------,,,,,,,,,,,,------................................................------------------------++++++,,,---------------...............---------,,,,,,++++++++++++,,,,,,---------------------------,,,,,,,,,,,,---......------------------------......---------,,,,,,,,,+++,,,---.........------.........------,,,,,,,,,------............------,,,,,,---...............,,,------......------,,,---,,,,,,,,,,,,---............------------......////////////////////////------------------------...............///000000........................//////////////////////////////.........//////000((())))))***++++++,,,,,,333000---+++***)))'''&&&((()))***+++---///111222+++++++++,,,,,,,,,------++++++***))))))***++++++******+++++++++,,,,,,,,,******)))))))))******+++,,,+++++++++++++++,,,,,,***+++++++++,,,,,,------*********************************+++++++++,,,,,,******+++,,,,,,+++******---+++***+++,,,---,,,+++'''(((***+++,,,---,,,,,,************************************************************************++++++++++++++++++++++++*********+++,,,---------)))+++,,,+++)))(((***,,,------------------------,,,,,,------------,,,,,,'''(((***,,,,,,+++***)))++++++++++++++++++,,,,,,***************************************+++,,,,,,------,,,++++++++++++,,,)))))))))***************)))*********++++++++++++)))************+++++++++))))))***+++,,,------...************************)))***,,,------,,,***)))******++++++++++++******+++******))))))******+++,,,,,,,,,+++))))))+++------,,,,,,,,,++++++++++++++++++,,,,,,,,,+++******''')))***,,,,,,,,,,,,+++)))))))))***++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------...............---------,,,,,,,,,+++,,,------......------,,,,,,,,,,,,,,,,,,++++++///...,,,++++++,,,---...,,,,,,,,,---------......,,,,,,,,,---------..............................------,,,++++++,,,---------///111000...---...000,,,---....../////////...---......//////000000000///............---------,,,,,,------...//////000---......///......------////////////////////////---------.........//////---...............------+++,,,---...////////////........................------...///////////////////////////000000000111........................---------------,,,,,,+++,,,...///...---,,,---.........------------......................................................------------------------+++,,,---...///......------------...............------,,,,,,,,,,,,------........................---,,,,,,,,,,,,---......------------------------......---------,,,,,,,,,,,,,,,++++++,,,,,,---...------------------,,,,,,,,,---...//////...---,,,------------.........///,,,------......------,,,......------......///000......------------......////////////////////////.......................................///000000................................................+++++++++++++++,,,---...((())))))***++++++,,,,,,---***((())),,,---,,,***)))******,,,...111333444++++++,,,,,,,,,---------...---,,,++++++,,,---...******+++++++++,,,,,,,,,******)))))))))))))))***++++++***************+++++++++++++++++++++++++++))))))))))))))))))))))))******++++++,,,,,,,,,,,,++++++------------++++++---,,,++++++------,,,+++'''(((***,,,------------************************+++++++++***************))))))))))))))))))))))))******************************+++,,,------......***---...---+++***,,,...------------------------...---+++******+++---...'''))),,,......---+++***+++*********+++,,,------))))))))))))))))))))))))))))))((())))))***++++++...---,,,,,,++++++,,,,,,)))))))))******++++++,,,))))))(((((()))***++++++)))************+++++++++(((((()))***,,,---...///************************)))***,,,------,,,***)))******++++++++++++******---,,,,,,,,,,,,,,,,,,------------+++))))))***,,,......---------,,,,,,,,,,,,,,,,,,,,,,,,+++***)))%%%&&&((()))*********)))(((((()))***+++,,,,,,---,,,,,,,,,,,,,,,,,,,,,,,,---------....../////////.........------,,,,,,,,,+++,,,------......------////////////...---,,,,,,...---,,,++++++,,,...///,,,,,,,,,------.........,,,,,,,,,---------..............................------++++++++++++------,,,...000///,,,+++---///+++,,,,,,---.........---------...///000111222222//////.........---------,,,,,,------...///000000,,,---...///000000000000////////////////////////---------.........//////,,,,,,---...////////////+++,,,---...////////////........................------...///000000//////---.........//////000000........................,,,,,,------,,,,,,+++***,,,---...---,,,,,,---...//////............//////................................................------------------------,,,---.../////////...---,,,------....../////////...------,,,,,,------...........................---,,,,,,,,,,,,---......------------------------......---------,,,,,,,,,...,,,)))((((((***---///------------------------,,,---...//////...---,,,...------------...//////,,,------......------,,,///............///000000.........------.........////////////////////////////////////////////////...............///000000................................................,,,,,,,,,---...///000111))))))*********+++++++++(((((()))***++++++,,,,,,******))))))***,,,...///++++++,,,---------,,,,,,************************+++++++++************)))******))))))((((((''''''++++++++++++++++++++++++,,,++++++******++++++,,,---,,,***))))))***,,,---,,,,,,,,,++++++*********++++++******++++++,,,---)))******+++++++++******,,,,,,+++***+++,,,...///))))))***+++,,,,,,------+++++++++,,,,,,---------******+++++++++,,,,,,,,,,,,+++***))))))***+++,,,++++++******))))))((((((******+++++++++,,,,,,,,,.........------,,,,,,,,,******))))))))))))******++++++******+++---///000++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,***)))***---,,,***))))))***+++,,,,,,------++++++++++++******)))))),,,,,,+++******+++,,,,,,+++******))))))(((((((((++++++***************)))))))))))))))))))))))))))))))))************)))))))))************+++++++++++++++++++++++++++++++++///---+++,,,---...------))))))***+++,,,,,,------***++++++,,,+++***)))(((++++++------.........---///...---,,,++++++++++++...---,,,++++++,,,---...++++++,,,,,,,,,,,,------++++++,,,,,,,,,---------------------------------............---,,,+++***++++++,,,,,,,,,,,,------------------------------+++,,,,,,------......///...------------...//////+++,,,---.........---,,,////////////////////////............////////////...------------...//////,,,,,,,,,,,,------...///000000//////......------/////////////////////////////////...---------,,,000000/////////.................................////////////000000000000//////............/////////...---,,,---...000222000000///...............//////.........---------...........................---,,,,,,---...000111000///...------...///000111...,,,---//////---+++---------------------------,,,,,,++++++******)))000///...---------------,,,,,,............,,,,,,///...---,,,,,,,,,,,,,,,***+++---//////...---,,,,,,---...//////---+++***,,,------......------,,,,,,,,,,,,---------......------,,,++++++---...///------,,,,,,---...000111..................------..............................---,,,---...///000111000///...------...///........................000000000000000000000000000000000000000000000000.........////////////000000000000000000000000000---......///000111111222++++++++++++,,,,,,,,,---((())))))***++++++,,,,,,+++************+++---...+++++++++,,,,,,+++******************************+++++++++************)))))))))******************++++++++++++++++++++++++,,,++++++******++++++,,,***)))(((''''''((()))***,,,,,,,,,+++++++++******++++++******++++++,,,---+++++++++++++++***)))(((,,,,,,+++******+++,,,---***+++++++++,,,---------***+++++++++,,,,,,,,,,,,******+++++++++,,,,,,,,,++++++************++++++************))))))))))))***++++++++++++,,,,,,,,,......---------,,,,,,,,,*********))))))***************))))))***+++,,,---++++++++++++++++++++++++************************+++++++++,,,,,,,,,,,,,,,------++++++,,,------+++)))******+++,,,,,,------++++++++++++*********))),,,,,,+++******+++,,,,,,---------,,,,,,,,,,,,,,,,,,,,,,,,,,,------------************************)))******************))))))************+++++++++++++++++++++++++++++++++...,,,++++++,,,------,,,)))******+++,,,,,,------++++++,,,,,,,,,+++***))),,,,,,,,,,,,------.........---,,,++++++*********,,,,,,,,,++++++,,,,,,,,,++++++,,,,,,,,,,,,------++++++,,,,,,,,,---------------------------------------------,,,+++***)))++++++,,,,,,,,,,,,------------------------------......------,,,+++++++++,,,++++++++++++,,,------+++,,,---.........------------------------------............////////////...------------...//////------,,,,,,,,,---......///////////////.........////////////////////////..................------......---------,,,,,,,,,111111111111111111111111.../////////000000000000000000////////////000000//////---------...000111000000///...............//////.........---------..............................---------......///000///...------...///000000...,,,---//////...+++------------------------------------............//////...---------------+++,,,---......---,,,+++///...---,,,,,,,,,,,,---***+++---//////...---,,,,,,---...//////---,,,+++,,,------......------,,,,,,,,,,,,---------.....................///000000------,,,,,,---...000111.........---------..............................---,,,+++++++++,,,...///111000///...---......///................................................////////////////////////---------.........//////000000000000000000000000------......//////000000*********+++++++++,,,,,,)))))))))***++++++,,,,,,,,,++++++******+++,,,,,,++++++++++++******)))(((************************+++++++++************)))))))))******+++,,,,,,---++++++++++++++++++++++++,,,++++++******++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++***++++++******++++++,,,---,,,,,,,,,+++***)))(((''',,,,,,+++*********+++++++++,,,,,,,,,,,,,,,,,,,,,***************+++++++++******+++++++++,,,,,,,,,******++++++++++++******)))))))))***************++++++++++++,,,,,,,,,,,,------------,,,,,,,,,,,,++++++++++++++++++++++++++++++************++++++++++++++++++++++++++++++)))))))))***************++++++++++++++++++++++++...,,,+++,,,---...---,,,*********++++++,,,,,,---++++++++++++************,,,++++++******++++++,,,***************+++++++++,,,,,,------......//////******************************++++++++++++******)))************+++++++++************************---,,,******,,,---,,,+++*********++++++,,,,,,---,,,,,,---------,,,+++***---,,,,,,++++++,,,......---,,,+++******************++++++,,,,,,++++++***++++++,,,,,,,,,,,,------,,,,,,,,,,,,------------------------------------,,,,,,,,,,,,,,,+++***)))++++++,,,,,,,,,,,,---------------------------------------,,,++++++******,,,++++++++++++,,,------,,,,,,---............---,,,,,,,,,,,,,,,,,,,,,,,,---............/////////......------......///000......------------------.........///////////////////////////////////////..................//////---------------,,,,,,,,,............................../////////000000000000000////////////000000//////...------...000111000//////............////////////.........------..........................................------//////...------...//////...---,,,---...///...---------------------------++++++,,,------.../////////.........------------+++,,,,,,------,,,,,,+++......---,,,,,,,,,------+++,,,---.........---,,,+++,,,...//////...---,,,------............------,,,,,,,,,---------......---...//////000000//////---------------...///000///...---,,,,,,---...///........................++++++***)))***+++,,,---000000///............///..................................................................................../////////000000000000000000000000000---------...............'''(((((((((((()))))))))))))))*********+++++++++,,,,,,++++++++++++++++++,,,,,,,,,,,,+++***((((((************************+++++++++*********))))))************++++++,,,,,,++++++++++++++++++++++++,,,++++++******++++++,,,,,,------......------,,,++++++++++++++++++++++++++++++******++++++,,,---+++++++++++++++***)))(((,,,++++++******)))))))))+++++++++++++++*********)))))))))))))))***************+++++++++,,,,,,,,,)))***+++,,,,,,+++***))))))))))))******++++++++++++++++++,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++************************************************++++++++++++++++++***************---******,,,...---,,,,,,*********++++++,,,,,,,,,++++++++++++++++++++++++++++++++++++++++++++++++(((((())))))*********+++,,,,,,,,,,,,,,,,,,,,,,,,************************+++++++++,,,,,,+++++++++))))))*********+++++++++************************---+++******+++,,,,,,+++*********++++++,,,,,,,,,------------------,,,,,,...---+++******+++---///,,,++++++***)))))))))******+++,,,------,,,+++***+++++++++,,,,,,,,,------,,,,,,,,,------------...---------------------------------------,,,+++***+++++++++,,,,,,,,,------------------------------)))******++++++,,,,,,---...------------...//////,,,------...............,,,,,,,,,,,,,,,,,,,,,,,,---------.........//////...............//////000000///...---------------------......//////000000////////////////////////------......//////000000////////////////////////------------------------........./////////000000//////............////////////............///000000///............//////////////////..........................................///000///...,,,+++........................,,,,,,,,,---............---------------------------------.........//////..................------+++,,,,,,,,,,,,,,,,,,+++...------,,,,,,,,,------+++,,,---.........------+++,,,---...//////......------............------,,,,,,,,,---------......***+++---.........---,,,------------....../////////...---,,,,,,---///000........................,,,+++*********+++,,,---/////////.........//////........................................................................//////000000000111111111///////////////////////////.....................'''(((((((((((()))))))))***************+++++++++++++++,,,++++++++++++***------------,,,+++***)))************************+++++++++*********))))))++++++*********)))))))))++++++++++++++++++++++++,,,++++++******++++++,,,))))))************))))))++++++++++++++++++++++++++++++******++++++,,,---((()))***+++++++++++++++++++++++++++***)))))))))************))))))))))))))))))))))))))))))))))))******+++++++++,,,,,,,,,)))***+++,,,,,,+++***)))))))))******++++++,,,,,,++++++,,,,,,,,,---------,,,,,,,,,,,,,,,,,,,,,,,,+++,,,------------,,,++++++++++++***))))))((((((************************+++++++++,,,,,,,,,------+++++++++*********))))))+++'''''',,,...+++)))+++***+++++++++++++++,,,,,,+++++++++++++++++++++,,,++++++++++++++++++++++++,,,,,,,,,------.........---------,,,,,,+++++++++************************+++++++++,,,,,,+++++++++))))))*********+++++++++************************---+++******+++,,,,,,+++***+++++++++++++++,,,,,,---------------------......---+++******+++---...++++++******)))*********+++,,,---......---,,,++++++++++++,,,,,,,,,------,,,,,,---------.........------------------------..................---,,,+++++++++,,,,,,,,,------------------------------)))******++++++,,,,,,---...------------...//////------------......//////........................------------............///............///000000000///......------------------......//////000000////////////////////////---......//////000000000.../////////////////////000000000000000000000000............////////////...------,,,,,,------.../////////.........////////////............//////000000/////////.......................................///000///...,,,+++------............------+++,,,,,,---------......------------------------111111000000000/////////------...//////......---,,,,,,,,,,,,,,,,,,,,,,,,------,,,,,,,,,------...,,,,,,---------...------,,,------...////////////---......//////......---,,,,,,,,,---------......***+++---.........---,,,---------..................------,,,---...///000........................---,,,,,,+++,,,---...///......//////////////////........................////////////////////////............................../////////000000000////////////////////////000000//////////////////*********+++++++++,,,,,,***************************++++++,,,,,,,,,++++++---------------,,,+++***************************+++++++++************))),,,++++++***))))))((((((++++++++++++++++++++++++,,,++++++******++++++,,,***************************++++++++++++,,,,,,,,,++++++******++++++,,,---'''((()))***+++,,,,,,,,,+++++++++,,,++++++***)))))))))******************************))))))))))))******+++++++++,,,,,,,,,******++++++++++++***************+++++++++++++++,,,,,,,,,,,,------------++++++++++++,,,,,,,,,,,,++++++------------++++++((((((((((((((('''&&&%%%************************++++++,,,,,,---.........,,,,,,,,,+++******))))))***%%%&&&---///***(((+++++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,***++++++,,,,,,++++++***+++,,,,,,,,,,,,,,,,,,---............---------,,,++++++++++++++++++++++++******++++++++++++******)))************+++++++++++++++++++++++++++++++++---,,,******,,,---,,,+++++++++++++++++++++++++++------,,,,,,,,,---......------+++******++++++,,,,,,++++++*********++++++,,,------......------,,,++++++,,,,,,,,,,,,------,,,---------............------------------------......////////////......++++++,,,,,,,,,,,,---------------------------------------,,,++++++******,,,++++++++++++,,,------......------......///000////////////////////////,,,------------.........//////......//////000111//////......---................../////////////////////////////////////////////////////////000000,,,,,,,,,---------------////////////////////////------........./////////...------------------...///////////////.........///............//////000000000000/////////................................................------------............------+++,,,------,,,,,,---...------------------------...------,,,++++++******,,,---.../////////...---...------,,,,,,------...------,,,,,,,,,---......,,,,,,,,,---------...................../////////......////////////......,,,,,,,,,---------......---...//////000000//////------......///......---,,,,,,---....../////////..............................---------...///000---...//////000/////////........................000000000000000000000000........................,,,,,,,,,,,,------------000000000000000000000000//////000000000000000000++++++++++++,,,,,,,,,---************************))))))+++,,,---,,,,,,+++++++++,,,,,,,,,++++++***************************+++++++++************)))++++++++++++++++++******++++++++++++++++++++++++,,,++++++******++++++,,,,,,,,,************,,,,,,******+++++++++,,,,,,,,,++++++******++++++,,,---((()))***+++++++++++++++***+++,,,------,,,,,,+++******++++++,,,,,,------+++++++++******)))))))))******+++++++++,,,,,,,,,++++++************++++++,,,++++++++++++++++++***,,,,,,,,,------------...******+++++++++,,,,,,,,,***+++,,,------,,,+++***((())))))******)))((('''******************************+++,,,,,,---......---------,,,+++*********+++$$$&&&...000***(((,,,+++++++++++++++++++++++++++++++++,,,,,,,,,------***+++,,,,,,,,,,,,+++***+++***************))))))+++++++++,,,---......///++++++++++++++++++++++++)))******************))))))************+++++++++,,,,,,,,,,,,,,,,,,,,,,,,...,,,++++++,,,------,,,++++++++++++++++++++++++,,,,,,+++++++++,,,......,,,,,,,,,+++++++++******,,,,,,++++++++++++,,,,,,---,,,,,,,,,,,,,,,,,,---++++++,,,,,,,,,,,,------------------............------------------------------...............---++++++,,,,,,,,,,,,------------------------------......------,,,+++++++++,,,++++++++++++,,,------///......---......000000////////////////////////,,,,,,---------.........///////////////000000111///............//////000///////////////.........////////////////////////000000000///////////////,,,,,,,,,---------......---------------------------------.........///////////////......////////////////////////......---...............///000000000000000000/////////.................................---------......///,,,------......------,,,+++---...---+++***+++---------------------------*********)))))))))))))))+++,,,...///000///...---///......------......///,,,,,,,,,,,,,,,---...///---,,,,,,,,,------......000//////.....................////////////......,,,,,,,,,---------.....................///000000------...//////...---,,,***+++---///000000///...........................///...---------...///000,,,---///000000000//////........................////////////////////////////////////////////////------------............000000000000000000000000---......//////000000000)))************+++++++++++++++******************((()))***,,,------,,,,,,)))******+++++++++******************************+++++++++************)))***++++++,,,,,,------...++++++++++++++++++++++++,,,++++++++++++++++++,,,)))(((&&&%%%%%%&&&((()))*********++++++,,,,,,,,,++++++******++++++,,,---******+++++++++******))))))***,,,---...------,,,++++++,,,------...//////,,,+++++++++******))))))******+++++++++,,,,,,,,,,,,+++***))))))***+++,,,---,,,,,,++++++*********,,,,,,,,,---------......*********++++++,,,,,,,,,)))***,,,------,,,***)))+++,,,---......---,,,+++))))))))))))))))))))))))))))))***+++,,,,,,------......------,,,+++******,,,%%%&&&000222+++)))...+++++++++++++++++++++++++++++++++,,,,,,---------***+++,,,------,,,+++***.........------,,,,,,,,,%%%&&&''')))+++---...///++++++++++++++++++++++++))))))************)))))))))************+++++++++------------------------///---,,,,,,---......---++++++++++++++++++++++++,,,++++++***+++,,,......,,,,,,,,,,,,,,,+++***))),,,,,,,,,+++,,,,,,---------,,,+++******+++,,,---++++++,,,,,,,,,------------------.........//////------------------------,,,,,,------...---------++++++,,,,,,,,,---------------------------------+++,,,,,,------......///...------------.../////////......------///000111////////////////////////,,,,,,,,,---------......///////////////000111111...............///000111000000//////.........---////////////////////////111111000000//////.............../////////000000000000000000000000000000---------.........//////111111000000000000111111//////000000///...------...............///000111000000000000////////////...........................---,,,,,,---...000111,,,,,,---......---,,,,,,,,,...///...+++)))***---------------------------------...//////000000111+++,,,...000000///...---000///...------...///000,,,,,,,,,,,,,,,---...///---,,,,,,,,,,,,---......111000///.....................////////////......,,,,,,,,,---------......------,,,++++++---...///------/////////...---,,,)))+++...000111000...---..............................---,,,---...///000,,,---///000000000//////................................................000000000000000000000000000000000000111111111111000000000000000000000000,,,,,,------...///000000'''(((***,,,---,,,***))))))))))))))))))******+++------,,,,,,,,,+++++++++************************))))))*********+++++++++)))))))))))))))*********,,,,,,,,,,,,,,,,,,,,,,,,)))******++++++,,,------++++++******++++++,,,,,,---,,,+++******+++,,,---+++***))))))***+++---...)))***+++,,,,,,+++***)))---------,,,,,,+++++++++******))))))))))))******,,,,,,+++***(((((()))+++------,,,,,,,,,---......++++++++++++++++++++++++***+++,,,---...---,,,,,,+++++++++,,,---...///000++++++,,,---............,,,+++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,------------,,,,,,+++***++++++++++++******))))))++++++++++++++++++++++++---,,,,,,,,,+++*********&&&'''(((***+++,,,------+++)))((()))---///---,,,...------,,,,,,------...++++++++++++*********))),,,,,,,,,+++***)))(((''',,,++++++******++++++,,,******))))))))))))******------,,,++++++,,,------))))))((()))++++++)))((()))***++++++++++++,,,---++++++++++++******))))))***+++,,,,,,......///000,,,,,,,,,---------......222000...,,,***++++++,,,............------,,,++++++,,,------,,,+++)))(((%%%'''***---------+++***,,,,,,------...------,,,------------------------------------------------------............------+++,,,,,,------.........++++++,,,,,,,,,---------......---,,,,,,...///000........................//////.........---------///...---,,,,,,---...///------------------------......////////////......////////////////////////---......///////////////////////////////////////,,,---///000000///---,,,///////////////.........////////////////////////////////////000000000000...............///000111............////////////111111000000//////..............................///...---+++*********+++000000//////.........------------............///------,,,,,,,,,,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,111111000000//////.........---,,,,,,,,,,,,---...//////...---,,,,,,++++++.........////////////000------------------------///............---------------............------------------------------///...,,,++++++,,,...///........................------/////////...---,,,---------.........//////------............------111000/////////000222333---------......000111111//////............////////////............//////////////////////////////......------------......((()))***+++,,,++++++******************+++,,,,,,---......///......------+++++++++++++++******************++++++++++++,,,++++++++++++************************************,,,+++++++++++++++++++++************+++,,,------,,,++++++++++++++++++,,,...------,,,,,,,,,------***+++,,,,,,,,,,,,+++***,,,,,,,,,,,,++++++++++++++++++************++++++---...---,,,******,,,---,,,,,,,,,+++,,,,,,---...,,,,,,++++++++++++++++++(((((()))************)))+++++++++++++++,,,---...+++++++++,,,,,,+++***************++++++,,,,,,---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------,,,,,,+++***++++++++++++*********)))+++++++++++++++++++++++++++++++++++++++*********((((((***+++,,,,,,------+++***(((***,,,...---+++,,,,,,,,,++++++,,,,,,,,,'''(((((()))***+++,,,---,,,------,,,,,,+++***))),,,,,,++++++++++++,,,,,,+++******))))))******+++---,,,+++******+++,,,---+++***)))+++---......---)))***,,,,,,++++++---...++++++++++++*********))))))******++++++,,,,,,---,,,,,,,,,---------......///...,,,+++***+++---...---------------,,,++++++***++++++,,,,,,,,,++++++((()))+++,,,---,,,++++++---------...------,,,,,,------------------------------------------------------............---------------------.........,,,,,,,,,,,,------------,,,,,,,,,,,,,,,---....................................------,,,,,,,,,,,,///...------------...///---------.........//////......////////////......////////////////////////---......///////////////////////////////////////------...//////...------/////////////////////...////////////////////////////////////000000000000///............//////000............////////////000000000000//////..............................111000///...------......000/////////.........------------............///+++++++++,,,,,,---------,,,,,,,,,,,,,,,,,,,,,,,,//////////////////.........---,,,,,,,,,,,,---...111000000///......------------........./////////------------------------///............---------------............------------------------------000///...------...///000........................---...............---------------.........//////...//////////////////...000000/////////000111222---------......///000111//////............////////////............//////........................///......------......///***************++++++++++++++++++++++++,,,------...///111222222111///...---,,,,,,,,,++++++******++++++++++++,,,,,,,,,,,,------,,,,,,+++*********))))))))))))))))))))))))------,,,,,,+++******)))))))))***++++++,,,------+++++++++,,,,,,+++++++++............---,,,+++***+++,,,,,,------,,,,,,+++*********+++++++++++++++,,,,,,++++++++++++,,,,,,---------,,,+++***,,,---++++++******++++++,,,---,,,,,,,,,++++++*********((((((((((((((()))******+++++++++******++++++,,,,,,,,,,,,,,,+++***)))((())))))***+++,,,------...,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++***++++++++++++************++++++++++++++++++++++++))))))************************+++,,,,,,,,,,,,,,,,,,+++******,,,---,,,***,,,++++++******++++++,,,''''''((()))***+++,,,,,,,,,,,,------------,,,,,,,,,,,,++++++++++++,,,,,,,,,++++++******++++++,,,++++++************++++++(((&&&%%%&&&))),,,------+++,,,------,,,,,,---...++++++++++++************++++++++++++++++++++++++,,,,,,,,,---------......,,,+++*********,,,---...,,,,,,------,,,,,,++++++*********++++++,,,---...+++,,,,,,,,,,,,,,,,,,,,,---.........---,,,,,,+++------------------------------------------------------............------...............---------,,,,,,,,,,,,---------...***+++,,,,,,------,,,,,,........................---,,,,,,,,,,,,+++++++++///...------------...///---......//////000000000......////////////......////////////////////////---......///////////////////////////////////////..............................//////////////////////////////////////////////////////000000000000000//////............///............////////////000000000////////////..............................---,,,,,,,,,,,,------/////////...............---------............///******+++,,,---...//////,,,,,,,,,,,,,,,,,,,,,,,,------.....................------,,,,,,------...000000000///......------,,,---------............------------------------///............---------------............------------------------------////////////////////////..............................---------......///---------...............//////000000000000////////////.........///000111......---......///000111//////............////////////............//////------------------------///......------......///+++******))))))***+++++++++++++++++++++,,,---------///111333444333111///.........---,,,++++++***++++++,,,,,,,,,---------------,,,+++******)))))))))))))))))))))))))))))),,,,,,,,,++++++***************++++++,,,,,,++++++***+++,,,------,,,+++******+++,,,,,,,,,***)))(((+++,,,,,,,,,,,,,,,,,,+++)))))))))******++++++,,,+++++++++******+++++++++***+++++++++))))))***+++*********)))***++++++,,,---,,,,,,++++++*********,,,+++*********+++---...---,,,+++++++++++++++,,,---.........------,,,+++*********++++++,,,,,,,,,++++++++++++++++++++++++++++++,,,,,,,,,++++++***++++++++++++++++++++++++++++++++++++++++++++++++((((((((()))*********+++,,,,,,---------,,,,,,+++,,,++++++++++++++++++***,,,,,,++++++++++++,,,,,,*********)))))))))((((((++++++,,,---------------,,,,,,,,,++++++,,,,,,,,,---,,,,,,++++++,,,,,,---************************(((&&&$$$$$$''')))++++++...//////...,,,***+++,,,++++++++++++++++++++++++.........------,,,,,,,,,,,,,,,,,,---------......++++++*********+++,,,---+++,,,,,,,,,,,,,,,++++++,,,,,,+++***+++,,,---...///...---,,,+++,,,---...............---,,,++++++------------------------------------------------,,,------......------,,,/////////......---------++++++++++++,,,,,,,,,,,,***+++,,,......---,,,,,,........................---,,,,,,,,,,,,,,,,,,,,,.........------.........//////........................////////////......////////////////////////---....../////////////////////////////////////////////............//////............////////////////////////////////////////////////000000000000111000///...........................////////////////////////////////////........................++++++++++++++++++,,,,,,........................---------............///++++++,,,,,,---......///------------------------,,,,,,,,,------.........------------------------......---------,,,,,,,,,,,,,,,,,,---------..............................///............---------------............------........................,,,,,,---......---,,,,,,........................///...---,,,,,,---///000......................../////////000000/////////...............//////000...............///000000//////............////////////............//////........................//////............//////++++++***))))))******+++***************+++,,,,,,+++---000333333333111000000000///...---,,,+++***++++++,,,,,,,,,---------,,,,,,+++***)))(((((('''******************************+++++++++,,,,,,,,,,,,,,,,,,,,,,,,+++))))))***+++,,,------,,,+++***'''(((***+++,,,+++******++++++************++++++)))))))))******++++++,,,******))))))))))))******)))***++++++***)))***+++******)))))))))***++++++,,,,,,,,,++++++*********...---,,,+++,,,---...///...------,,,,,,,,,,,,---+++,,,------.........---,,,,,,,,,++++++*********++++++++++++++++++++++++******+++,,,,,,++++++++++++++++++++++++++++++,,,++++++++++++++++++++++++((((((((()))*********+++,,,,,,---------,,,+++++++++,,,,,,++++++***++++++------,,,,,,,,,,,,------************)))))))))))))))***+++,,,---------------,,,,,,,,,,,,,,,,,,---------,,,,,,,,,,,,------************************...+++)))(((***,,,------111111111///+++)))))))))+++++++++++++++++++++,,,///......------,,,,,,+++,,,,,,,,,---------......,,,,,,++++++*********++++++,,,,,,------,,,,,,,,,///...,,,+++***+++,,,---///...---++++++,,,---...---.........---,,,,,,+++------------------------------------------------,,,,,,------------,,,,,,//////......---------,,,************+++++++++++++++,,,.../////////...---........................------------............---..................---000//////...---,,,++++++......////////////......////////////////////////---......///////////////////////////////////////000///............///000---.........//////000000////////////////////////////////////000000000000111000///...........................////////////.............../////////.................................///////////////---------...............---------............///------------------------------------------------++++++,,,,,,------......---------------------------------------,,,,,,,,,,,,,,,,,,---------..............................///............---------------............------........................,,,,,,---......---,,,,,,...........................---,,,,,,,,,...///000.....................------......//////......------......//////////////////............//////000//////............////////////............///////////////////////////////////////....../////////+++++++++******************************+++,,,,,,+++,,,///111222222222111222222111///...,,,+++***++++++++++++,,,,,,,,,,,,+++*********)))(((((((((++++++++++++++++++++++++)))******+++,,,,,,------+++,,,------,,,+++)))(((+++++++++,,,,,,+++++++++)))***+++,,,------------+++******))))))******+++*********+++++++++++++++***))))))))))))))))))******+++------,,,,,,,,,---******))))))******+++,,,+++++++++++++++++++++++++++++++++++++++,,,---------------,,,,,,---......((()))***+++,,,,,,,,,,,,...------,,,+++***))))))++++++++++++++++++++++++)))***++++++++++++++++++++++++++++++,,,,,,,,,,,,++++++++++++++++++++++++))))))******************+++,,,,,,,,,,,,,,,++++++***+++,,,,,,+++***+++,,,...------,,,,,,------...(((((()))***+++,,,------******+++,,,,,,,,,,,,,,,------,,,,,,,,,,,,---------,,,,,,++++++,,,,,,---******+++,,,,,,+++******---+++))))))***+++++++++000111000...+++)))((()))++++++++++++,,,,,,,,,,,,,,,,,,,,,++++++*********,,,,,,,,,---------......------,,,,,,+++++++++***,,,,,,------......------///...---,,,,,,+++++++++...---,,,+++,,,---...///,,,------......------,,,------------------------------------------------,,,,,,------------,,,,,,---------------,,,,,,,,,************++++++++++++,,,---......//////..............................------...............///------...//////...------//////...---,,,++++++***......////////////......////////////////////////---......///////////////////////////////////////////////////////////////------......///000000000////////////////////////////////////000000000000000//////............///............////////////---............/////////........................------.........------,,,---------------.........---------............///............------,,,,,,------------------------,,,,,,------------------,,,------......------,,,////////////////////////,,,---------....................................///............---------------............------........................////////////////////////........................---------------...///000...............---------------............---------...///000000000000/////////............////////////............////////////............//////000000000000000000000000000//////......//////000***++++++,,,+++***)))(((+++++++++++++++,,,------,,,---...000222333333333444333222000...,,,+++************++++++++++++,,,************************+++++++++++++++++++++++++++++++++++++++++++++,,,((()))+++------,,,+++***,,,++++++++++++++++++,,,,,,+++++++++++++++,,,,,,,,,+++************+++,,,,,,,,,,,,,,,+++++++++++++++******))))))******+++)))+++---...---,,,,,,---+++************+++,,,,,,*********++++++,,,,,,---******++++++,,,,,,,,,+++++++++++++++,,,---......******+++,,,,,,+++++++++---,,,,,,++++++*********************************))))))***++++++++++++++++++++++++,,,,,,,,,------+++++++++++++++++++++++++++++++++++++++***************+++++++++++++++***(((***,,,,,,******,,,...---,,,,,,,,,,,,,,,,,,---))))))***+++,,,---......+++,,,---------------,,,------,,,,,,,,,,,,------,,,,,,++++++++++++,,,,,,***+++,,,------,,,+++***)))((('''(((***++++++***,,,------,,,+++******++++++++++++,,,,,,,,,------++++++++++++++++++++++++,,,,,,,,,---------......+++,,,,,,---------------,,,---....../////////...,,,---------------,,,,,,++++++++++++,,,---......++++++,,,---............------------------------------------------------+++,,,,,,------,,,,,,++++++++++++,,,,,,,,,,,,,,,++++++,,,,,,,,,---------------,,,,,,------...///........................,,,,,,,,,------.........------...//////...---------------.....................////////////......////////////////////////---......///////////////////////////////////////...///000111111000///...------......///000000111////////////////////////////////////000000000000///............//////000............////////////---------.........//////........................+++,,,,,,,,,,,,+++)))(((,,,,,,,,,------.........---------............///------------................................................------------,,,,,,---......---,,,,,,////////////////////////------........./////////........................///............---------------............------........................000///...------...///000........................+++,,,---...//////////////////.........---------......////////////.........///000111111111000000//////............////////////............////////////............//////000000000000000000000000000000////////////000000)))***,,,---,,,***((('''---,,,,,,,,,,,,---......---...///000222333555555555444222111///---+++***))))))*********+++++++++++++++++++++++++++,,,,,,************************------,,,++++++*********%%%'''***,,,.........------,,,+++******+++,,,---,,,+++***((('''((())))))------++++++++++++---------------,,,,,,+++++++++,,,++++++++++++++++++,,,''')))+++,,,+++******+++++++++******++++++,,,---))))))***+++,,,------...***+++,,,---...---,,,,,,************+++,,,---...............---,,,++++++++++++++++++++++++,,,,,,************************((()))***++++++++++++++++++++++++,,,,,,---------++++++++++++++++++++++++---,,,,,,,,,+++*********((()))***+++++++++++++++'''***,,,,,,******---///,,,++++++++++++++++++,,,---------,,,,,,,,,++++++---...............------...------,,,,,,------...,,,++++++******++++++,,,+++,,,------------,,,+++*********---///111000///((()))++++++++++++---...+++++++++,,,,,,---------------------------------,,,,,,,,,---------......)))***,,,---.../////////------...///000000//////***+++---...///......---******+++,,,,,,---......******,,,---.../////////------------------------------------------------+++,,,,,,------,,,,,,+++*********++++++,,,,,,,,,---------.........//////---,,,+++***+++,,,---...........................+++++++++,,,,,,---------,,,---...//////...---,,,,,,,,,---...///000111222......////////////......////////////////////////---......///////////////////////////////////////---///000222222000///------------...///000000111////////////////////////////////////000000000000...............///000111............/////////000---------.........//////........................//////000000///---,,,***,,,,,,,,,------.........---------.........//////+++,,,,,,---...///000000......................../////////......---------,,,,,,---......---,,,,,,,,,---------------------.........////////////000//////////////////////////////.........------------..................---///////////////////////////...,,,++++++,,,...///........................***+++---///000000///...//////.........---------//////000000000000//////...///111222222222111000000//////.........////////////............////////////............//////////////////////////////000000////////////000000,,,,,,,,,++++++*********))))))))))))***+++,,,---...000111111111111444666111222333111...+++***)))************************************************(((((((((((()))))))))))),,,,,,,,,---------......************+++,,,------,,,---...//////...---,,,*********++++++,,,,,,,,,)))***+++,,,,,,,,,,,,,,,*********++++++,,,,,,,,,*********)))))))))((((((,,,***((())),,,...---+++,,,++++++******+++,,,,,,((()))***+++,,,---------+++++++++,,,,,,---------...---,,,+++***((('''''',,,***)))***+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++******+++,,,,,,++++++************+++++++++...,,,%%%###)))...---------------------------,,,+++++++++******))))))+++***((((((***+++++++++'''((()))***,,,---...///---,,,+++++++++,,,---...,,,,,,++++++,,,...///111,,,,,,,,,++++++*********---+++)))+++---///---+++)))***+++,,,---,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,///...,,,+++***++++++,,,++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,------------,,,+++***,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,------...//////...---+++******+++,,,...000///...---,,,---...............------,,,,,,,,,,,,,,,,,,---------......,,,,,,------...///////////////.........---------......---,,,++++++******++++++,,,,,,---...//////444///***(((***---......//////.........//////000//////.........------------------------...///000......//////...---,,,,,,---.........//////000000/////////////////////////////////...------,,,,,,---...///000000///...------...///111111///...---...///////////////................../////////000000///...------...///000......---......///000111........................////////////////////////............////////////........................---------............////////////...---------,,,......................../////////...---------,,,,,,------......------,,,,,,,,,,,,------.........---------,,,,,,+++++++++000000//////.........---,,,------......------,,,---------............///////////////////////////000000000000111111111111...------,,,,,,------...////////////////////////.........------,,,,,,,,,........................///............///000000......------------......000//////.........////////////000000000///---,,,------..................000000000000000000000000///////////////.........000000000000000000000000,,,,,,,,,+++++++++************)))******+++,,,---...000000000///000222444333444555333000---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,************************(((((()))))))))*********,,,,,,---------.........,,,,,,++++++***+++++++++++++++,,,,,,,,,,,,++++++******+++++++++,,,,,,,,,)))***+++,,,,,,,,,,,,,,,******+++++++++,,,,,,,,,---------,,,,,,,,,++++++,,,***((())),,,---,,,+++,,,,,,+++++++++++++++++++++,,,,,,,,,,,,+++************************++++++,,,,,,,,,+++++++++++++++,,,+++******,,,------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++******+++,,,,,,++++++************+++++++++...,,,&&&%%%***------***************************)))))))))((((((((((((+++***)))***,,,,,,,,,+++************************------,,,+++++++++,,,---,,,,,,,,,,,,,,,---...///---------,,,,,,,,,++++++---+++***+++---...---+++)))***+++,,,,,,,,,++++++************************,,,,,,+++*********++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++*********,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,------......---,,,+++***+++,,,...///000///...---,,,------.........---------,,,,,,,,,------------.........///...............---------......------,,,,,,,,,,,,---------............///+++,,,,,,------.........222///,,,,,,---///...---............///111222333//////.........------------------------...//////......//////...------,,,............/////////000////////////////////////.../////////////////////...///000111111000///...---...///000000///...---......////////////......---------............///000///...------...///000//////.........///000000........................////////////////////////............////////////........................//////.........---------...............---------.......................................---------,,,------......------,,,,,,,,,---------------------------,,,,,,,,,++++++000/////////.........---,,,------------------,,,---------............///////////////////////////....../////////000000000...------,,,,,,------....................................------,,,,,,,,,..............................------......///000/////////......///////////////............/////////000000111000///...---***+++,,,---///000111222000000000000000000000000/////////////////////...000000000000000000000000,,,,,,,,,++++++++++++************++++++,,,---......///000///------///111222444555333000...,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,************************))))))*********+++++++++,,,,,,,,,------------......---,,,+++************,,,,,,++++++++++++,,,,,,***++++++++++++,,,,,,,,,******+++,,,,,,,,,++++++***++++++++++++,,,,,,,,,+++************))))))))),,,***))))))+++,,,,,,+++,,,,,,,,,++++++*********+++,,,,,,,,,,,,+++******++++++******************)))***+++,,,---......///---,,,***+++---......---,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++******++++++,,,++++++************++++++***,,,,,,((('''***,,,,,,)))))))))))))))))))))))))))))))))))))))(((((((((*********,,,......,,,***))))))))))))))))))))))))...---,,,++++++***++++++,,,,,,---------------,,,......------------,,,,,,,,,+++***+++---...---,,,)))***+++,,,,,,,,,,,,+++))))))))))))))))))))))))))))))***+++++++++******++++++++++++++++++++++++------------------------,,,,,,***))))))******+++,,,,,,,,,,,,,,,,,,,,,,,,+++++++++,,,,,,,,,,,,,,,++++++******+++---///000///......---,,,---------...------------,,,,,,,,,***+++++++++++++++,,,,,,//////......---,,,,,,+++---,,,,,,,,,,,,+++++++++++++++,,,---///000111111------------------------000///...///000000...,,,------...///000222333444...............---------...------------...//////.........///......---,,,............////////////////////////////////////......//////000111111222///000000111111000000///---...///000000///...---......///////////////...,,,,,,---------.........//////............///000111000000////////////000........................////////////////////////............////////////........................111000///...---,,,++++++---------.......................................---------...............------............------------------------,,,,,,------------,,,,,,,,,,,,/////////...............---------------------------------............///////////////////////////------........./////////......------------.......................................---------------........................---------------......///000000////////////000000//////............/////////000000000000///......++++++,,,---///000111111000000000000000000000000......//////////////////000000000000000000000000++++++++++++++++++++++++++++++++++++,,,---.........//////...,,,+++,,,...000111222111...+++******))))))))))))))))))))))))******************************+++++++++,,,,,,,,,******+++++++++,,,,,,,,,---,,,++++++*********+++///...---,,,,,,---...///++++++++++++++++++++++++***++++++,,,,,,,,,++++++++++++++++++++++++++++++))))))))))))))))))((((((+++******)))***+++++++++,,,,,,,,,,,,+++******)))((()))***+++,,,------------------,,,,,,+++++++++))))))***+++,,,---...///...,,,++++++---......---,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++++++++************++++++)))+++,,,***))))))***+++,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++******+++---//////,,,***''''''((()))***+++,,,,,,...---,,,++++++******)))+++,,,---......---+++***---------------,,,,,,,,,,,,,,,+++,,,,,,---,,,,,,******++++++,,,,,,,,,,,,))))))))))))))))))))))))((()))***,,,,,,,,,+++***++++++++++++++++++++++++------------------------...,,,***))))))***,,,---,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++++++++++++++,,,,,,,,,,,,,,,---...///......---------,,,,,,,,,------------------------+++++++++,,,,,,,,,,,,,,,.........------,,,,,,,,,---,,,,,,,,,,,,,,,,,,,,,))))))***+++---...//////------------------,,,,,,///.........//////...---............///000111222..............................---------......///---...............------.........///////////////////////////////////////....../////////000000000//////000000000000//////......///000000///......---...//////////////////---------.........//////...............//////000222111000///////////////........................////////////////////////............////////////........................000//////...------,,,,,,,,,---------.../////////........................,,,---------.../////////------............------.........------,,,,,,,,,------------------,,,,,,........................---------,,,,,,------------------............///////////////////////////------........./////////......------------.............................................---------........................---,,,,,,,,,,,,---......000//////////////////000///............//////000.........///............////////////............////////////////////////............////////////////////////////////////++++++++++++++++++++++++++++++++++++,,,---......---......---+++***+++,,,...000111000---+++******))))))))))))))))))))))))************************++++++++++++,,,,,,,,,,,,(((((()))))))))*********+++*********++++++,,,---...---,,,++++++,,,---...++++++++++++++++++++++++++++++,,,,,,,,,++++++***++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,++++++******))))))***++++++,,,,,,,,,,,,+++***)))((()))***+++,,,------------------,,,,,,+++++++++))))))******++++++,,,,,,...,,,++++++---......---,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++++++++************++++++)))***+++,,,***))))))+++------------------------+++++++++++++++,,,,,,,,,******+++---//////,,,***((())))))***+++,,,------------,,,,,,+++***)))(((+++,,,---------,,,+++***+++++++++++++++,,,,,,,,,,,,,,,---,,,,,,+++,,,,,,+++***++++++++++++,,,,,,************************)))***,,,---------,,,,,,++++++++++++++++++++++++------------------------///---,,,++++++,,,...///,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++++++++++++++///......---,,,,,,,,,,,,---------------,,,,,,,,,------------------------/////////...............,,,,,,,,,,,,------......------------............+++++++++,,,,,,---------------------------,,,,,,......---,,,+++,,,.../////////...---------......---.....................///......---------......------...............---///////////////........./////////////////////////////////......---------..............................////////////......------...///////////////////////////000000000000---......///////////////111111000//////...//////////////////////////////////////////////////////............////////////................................................,,,---------.../////////........................,,,---------.../////////---......//////......---.........------,,,,,,,,,---------------------------------..................---,,,,,,,,,,,,---...---------............///////////////////////////....../////////000000000///......------......///........................................................................---,,,,,,,,,,,,---......///......------......///...............///000000---------------------...000000/////////.........////////////////////////---.........//////000000////////////////////////***++++++++++++,,,,,,,,,*********++++++,,,---...------...,,,******+++,,,...000111000...+++++++++++++++++++++++++++++++++******************************+++++++++,,,,,,,,,((((((((())))))))))))***************+++,,,---...++++++************++++++,,,,,,,,,++++++++++++***++++++,,,,,,,,,+++******,,,,,,,,,++++++++++++************+++++++++++++++***++++++***(((((()))+++******,,,------,,,+++***+++,,,,,,,,,,,,+++******++++++******************************************---,,,***+++---......---,,,,,,,,,,,,,,,,,,,,,,,,***++++++,,,,,,++++++***++++++************++++++***)))***,,,+++((())),,,++++++++++++++++++++++++)))))))))************************,,,......,,,***------,,,,,,+++*********+++,,,,,,,,,+++***)))(((++++++,,,,,,,,,,,,,,,+++******++++++++++++,,,,,,,,,---...---+++***+++,,,++++++******++++++,,,---++++++++++++++++++++++++++++++,,,---------,,,,,,++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,...------,,,,,,---//////,,,,,,,,,,,,,,,,,,,,,,,,+++++++++,,,,,,,,,,,,,,,000000///...---,,,++++++,,,------------,,,++++++,,,,,,,,,------------...,,,+++++++++++++++*********++++++,,,------......------...............///..................---------------------------------------+++***+++...111000///...---,,,,,,,,,,,,---------...............//////...------------...,,,---......///.........///////////////.........////////////////////////000//////...------,,,,,,...------,,,,,,------...////////////////////////,,,---...///000000000000//////000000000111111111,,,---...///000000000///000//////............///////////////////////////////////////////////////............////////////........................---------.........//////---------.......................................---------.....................////////////......------------------,,,,,,------------............---------------............---,,,++++++,,,---...---------............///////////////////////////....../////////000000000//////............//////------------------------.............../////////........................---------------......///......------------............---......///000111------,,,,,,------...///------...///000000111111000000000000000000000000------......///000000000000000000000000000000000******+++++++++,,,,,,,,,******)))******+++,,,---,,,------,,,+++***,,,---,,,...//////,,,***))))))++++++++++++++++++++++++************************************++++++++++++)))))))))*********+++++++++++++++***++++++,,,,,,******++++++++++++******,,,,,,,,,+++++++++******+++,,,,,,,,,,,,+++***))),,,,,,,,,+++++++++******'''((((((((())))))))))))***+++,,,***(((''')))+++((()))+++---------,,,++++++,,,,,,,,,,,,+++************************++++++*********+++++++++,,,,,,,,,+++******,,,------,,,,,,,,,,,,,,,,,,,,,,,,,,,***+++,,,,,,,,,,,,+++***++++++************++++++,,,)))))),,,+++''')))...************************)))))))))******++++++++++++***)))***,,,,,,,,,+++,,,,,,,,,+++***)))))))))******+++,,,++++++***)))************+++,,,------+++++++++,,,,,,,,,------+++---...---+++***+++---++++++*********+++,,,---++++++++++++++++++++++++---,,,++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,---------......,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,------.........//////......---,,,,,,,,,,,,---------,,,+++***,,,,,,,,,---------......))))))))))))(((((((((''',,,,,,,,,,,,,,,,,,,,,---,,,,,,,,,------.................................+++,,,,,,------.........+++---///...---,,,...000///......------------...---------.........////////////...---------------,,,------...//////......000/////////............////////////////////////////////////............///...------------.../////////............//////,,,---...///000000000000////////////000000000000,,,---...///000000000///...------------......///////////////////////////////////////////////////............////////////.......................................---------...............---------.......................................---------......////////////......,,,,,,------------------------------.........///,,,,,,,,,------.........///...,,,++++++,,,...///---------............///////////////////////////------.........///////////////............//////---------------------------........./////////000..............................------......///000//////............//////---------......///000111///......---...///000111.........///000000111111000000000000000000000000------......///000000111000000000000000000000000*********++++++,,,,,,,,,))))))))))))***+++,,,---,,,------,,,++++++,,,...)))+++,,,,,,)))'''&&&'''((((((((((((((((((((((((************************))))))*********+++++++++***++++++++++++,,,,,,,,,------,,,+++************+++,,,---......---,,,+++,,,,,,,,,++++++*********,,,,,,,,,,,,,,,+++***))),,,,,,,,,++++++***************++++++,,,,,,,,,---)))+++,,,***'''&&&(((+++'''(((+++---...---,,,,,,((()))***+++,,,---------+++++++++,,,,,,------...******+++,,,------......,,,***)))***+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,***+++,,,------,,,+++***++++++************++++++---)))))),,,***&&&)))///+++++++++++++++++++++++++++++++++,,,,,,---------+++***((((((***,,,++++++(((((())))))******++++++((()))+++,,,,,,+++***)))******))))))***,,,...///,,,,,,,,,------.........+++---///...+++)))+++---,,,+++*********+++,,,---************************---,,,***)))))))))******++++++++++++++++++++++++***************************+++,,,------------,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,------...//////------......///......---,,,,,,---...---,,,+++***,,,,,,,,,------..................---------,,,,,,...------,,,,,,++++++***+++++++++,,,,,,---------+++++++++,,,,,,---------++++++,,,,,,---...//////)))---111222000......///...............///000111---------.........//////000///...---------------,,,,,,---.../////////...000000//////.........---////////////////////////......//////000000111111000///...------...///000//////............//////,,,---...///000000000000............/////////000+++,,,...000000000000///,,,,,,,,,,,,,,,---...///000000000000000000000000////////////////////////............/////////000........................000000///...---,,,,,,+++/////////......------,,,......................../////////......------,,,......////////////......,,,,,,,,,------.........---------.........//////,,,,,,,,,------.........///...,,,++++++,,,...///---------.........//////////////////////////////,,,,,,,,,---------......//////............//////---------------------------.........//////000000........................///............///000000000000////////////000000---------......000111111111000/////////111222333222111111000///......---000000000000000000000000---------...///000000111000000000000000000000000,,,,,,+++***))))))******((()))))))))************)))******++++++,,,------******+++++++++******)))+++,,,...---+++))))))***,,,,,,,,,++++++*********+++,,,,,,------,,,,,,++++++***)))(((((()))************+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------,,,,,,+++***......---,,,,,,,,,,,,---((((((***+++++++++++++++******+++++++++,,,,,,,,,---,,,+++******+++,,,---))))))*********+++++++++))))))))))))))))))))))))---......///---+++)))''',,,,,,,,,+++***)))((((((+++*********++++++,,,---,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++******++++++,,,)))************)))(((((('''))),,,...///...------******)))))))))))))))***++++++************+++++++++***)))))))))***,,,,,,+++,,,,,,,,,,,,+++***))),,,,,,++++++***)))((((((((()))***++++++,,,++++++......///---++++++,,,---...---,,,,,,,,,,,,---...555222...++++++******)))))))))))))))))))))))))))++++++++++++++++++++++++++++++++++++++++++++++++******+++++++++,,,,,,,,,,,,,,,---------.........---,,,+++******,,,...///,,,---......,,,***(((&&&,,,,,,,,,------.........*********++++++,,,,,,---,,,,,,,,,,,,,,,,,,,,,,,,+++******---000111...+++///...---,,,,,,---...///------------------------,,,,,,,,,,,,---...//////,,,---...//////...---,,,++++++,,,,,,---...//////,,,,,,---...//////..................////////////........................------,,,,,,,,,,,,------........................000000///...---,,,,,,,,,......///000000000000000......------------............////////////......,,,------......------,,,,,,,,,,,,---...//////000//////////////////////////////////////////////////////.........---------222111111000///......---------------------------------------------------///////////////......---------------------------000000///...---,,,,,,,,,,,,,,,,,,---------......,,,,,,------.../////////------------------------000///...---------------////////////////////////,,,,,,.../////////...---........................------------------------++++++,,,,,,---.........000//////...---,,,,,,+++........................---------............///...///000000000///---,,,////////////////////////...------...000///---+++---...///111111111000///,,,------...///000111111111000///......///000111...///000111111000///...///////////////.................................,,,++++++***************************++++++++++++,,,+++++++++++++++++++++******+++++++++******))))))+++,,,,,,+++***+++,,,,,,,,,,,,+++++++++******+++,,,,,,------,,,,,,+++++++++***)))******+++,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------,,,,,,+++***......---,,,,,,,,,,,,,,,,,,------,,,,,,+++***)))))))))*********+++++++++,,,+++************+++,,,***+++++++++,,,,,,,,,,,,************************,,,---...//////---,,,+++))))))*********)))((('''++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++******++++++,,,++++++,,,,,,++++++***))))))***+++,,,------,,,,,,++++++************++++++++++++************+++++++++***)))))))))***+++,,,,,,,,,,,,+++++++++******,,,,,,++++++***)))))))))******+++++++++***))))))---......---+++***,,,---///...---,,,,,,---...///444111...,,,,,,,,,,,,+++************************+++++++++,,,,,,+++++++++++++++++++++++++++++++++******+++++++++,,,,,,,,,))))))*********+++++++++---,,,+++******,,,---///------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------+++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,...000111111///---......---,,,,,,---......------------------------//////...---,,,,,,,,,,,,,,,---............---,,,,,,,,,,,,------.........,,,------...//////..................////////////..............................------------............................../////////...---------,,,......///000000000000000///..................///......////////////......---......//////......---,,,------...//////000000//////////////////////////////////////////////////////.........---------111111000000//////......////////////////////////------------------------///////////////......---------------------------......------,,,,,,++++++,,,,,,,,,---------........................------------------------------......---------......///------------------------,,,---.../////////...---.........................................................---------------111000000///......------........................---------............///...///000000000///---,,,////////////////////////...------...000///---+++...//////000000000000///------......//////000000000///...------...///000...//////000000//////............///////////////////////////////////////++++++++++++***************++++++++++++,,,,,,,,,------,,,,,,+++******))))))******+++++++++******((()))++++++++++++,,,...,,,,,,,,,++++++++++++***++++++,,,,,,,,,,,,+++++++++++++++++++++,,,---...++++++,,,,,,,,,---------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------,,,++++++------------,,,,,,,,,,,,------------,,,+++******))))))))))))************++++++************++++++++++++,,,,,,,,,---------************************+++,,,---/////////...---)))***,,,------+++***)))++++++,,,,,,,,,+++******,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++******++++++,,,---------------,,,,,,+++++++++++++++++++++++++++,,,+++++++++++++++,,,,,,++++++************++++++******))))))******+++,,,---,,,+++*********+++,,,,,,,,,,,,+++******))))))++++++++++++***)))(((''',,,------,,,******+++---//////------------//////222000---,,,---......---++++++++++++++++++++++++***+++,,,------,,,+++***++++++++++++++++++++++++******+++++++++,,,,,,,,,))))))))))))************---,,,+++***+++,,,---......---+++++++++---///111,,,,,,,,,,,,++++++++++++,,,,,,,,,,,,++++++++++++,,,,,,,,,,,,,,,,,,---------000333555333111000///...---,,,,,,,,,,,,---...------------------------//////...---,,,,,,,,,,,,,,,,,,------------,,,,,,------------------......,,,---......///.....................////////////........................///..................///..........................................------......///000000000//////000//////......//////000......////////////.........//////////////////...---......//////000000111/////////////////////////////////////////////////////////............---////////////////////////////////////////////////........................///////////////......---------------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------......000//////...------,,,,,,------------------------,,,------......///000000------------------------,,,---......//////......------------------------////////////////////////000000//////...------,,,000000//////......------........................---------............////////////000//////...---////////////////////////...------...//////...,,,111000000////////////000.........///////////////......------------......///..................///------......//////000000000000000000000000000000+++++++++++++++++++++************+++++++++,,,,,,,,,,,,,,,++++++*********))))))***+++++++++******)))***++++++******+++---++++++++++++++++++++++++++++++,,,,,,,,,,,,++++++*********+++,,,---......+++,,,,,,,,,,,,---------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------,,,,,,+++------------,,,,,,++++++)))***+++,,,------------)))*********+++++++++++++++++++++******++++++++++++++++++,,,,,,,,,,,,---************************+++,,,---.........------)))***+++,,,,,,***(((&&&)))***+++,,,,,,,,,,,,+++,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++******++++++,,,---------...---,,,,,,+++,,,+++******))))))******++++++*********+++,,,,,,++++++************++++++***************+++++++++...,,,***))))))***,,,---,,,,,,,,,++++++***************++++++***))))))(((+++,,,,,,+++***)))+++,,,...---,,,,,,,,,,,,---......---++++++---......---,,,,,,,,,,,,,,,,,,,,,,,,)))***,,,------,,,***)))***+++++++++++++++,,,,,,******+++++++++,,,,,,,,,++++++,,,,,,,,,---------,,,,,,+++++++++,,,---...---,,,,,,++++++---...///,,,,,,,,,++++++*********---------,,,,,,++++++***,,,,,,,,,---------------...333888999666222000000......------------......,,,,,,------------------,,,,,,,,,,,,---...//////,,,,,,,,,,,,,,,,,,,,,,,,............------------------...............---............////////////........................//////............//////........................---------.....................///////////////...000000////////////000000......////////////............////////////........./////////000000111111/////////////////////////////////////////////////////////.....................//////////////////------------------------///////////////////////////////////////......---........................,,,,,,,,,,,,,,,---------,,,,,,,,,---------......//////.........---------------------------------------...///////////////////////////////////////---------...............------------------------........................000000/////////.....................------,,,,,,........................---------............/////////////////////......////////////////////////...---,,,---//////...---222111000.........///000///////////////.................................///...---,,,,,,---...///,,,------...///000111111////////////////////////***+++,,,,,,,,,,,,++++++))))))))))))*********+++******+++++++++,,,,,,,,,((()))***++++++++++++++++++,,,,,,***(((((()))+++++++++++++++++++++++++++***++++++,,,,,,++++++***((()))***++++++,,,,,,---+++++++++,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,------,,,,,,,,,,,,,,,---------,,,+++***((()))***+++,,,,,,,,,,,,+++++++++,,,,,,,,,------+++++++++,,,,,,+++++++++************++++++++++++************************,,,,,,,,,,,,++++++******((()))))))))(((&&&###"""'''((()))+++,,,---......,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++******++++++,,,,,,,,,,,,,,,,,,+++******---,,,+++***)))))))))))))))))))))))))))***++++++++++++************++++++))))))******++++++++++++---,,,***))))))***,,,---,,,,,,,,,+++++++++++++++))))))***+++++++++++++++***+++,,,+++******+++---,,,,,,+++******+++,,,,,,***))))))***,,,------,,,,,,,,,,,,,,,,,,,,,,,,,,,***+++,,,,,,,,,,,,+++************++++++,,,,,,,,,******+++++++++,,,,,,,,,---------............///++++++++++++,,,,,,------+++,,,,,,------+++***))),,,,,,,,,++++++*********...------,,,,,,+++++++++,,,,,,,,,------.........000555;;;<<<888333000///.........//////.........,,,,,,,,,---------......,,,,,,,,,,,,---...//////,,,,,,,,,,,,,,,,,,,,,,,,.....................------...............------............////////////........................//////............//////........................---------.....................////////////......000000////////////000000......////////////......,,,------......------,,,////////////000000000000////////////////////////////////////////////////////////////////////////............////////////........................///////////////////////////////////////......---........................------------............,,,,,,,,,---------......---------.........//////------------------------//////000000//////------000000000000000000000000------------......//////------------------------------------------------........./////////000000//////..........................................---------............/////////........./////////////////////////////////...---,,,---...//////...222111000.........///000///////////////.........///////////////////////////...---,,,,,,---...///,,,------...///000111111........................******,,,---------,,,+++(((((()))))))))*********)))******+++,,,,,,------((()))***+++++++++++++++,,,,,,+++)))''''''(((******++++++++++++,,,,,,,,,******++++++++++++******((()))***+++,,,,,,++++++******+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,---------,,,,,,+++,,,---------,,,***)))++++++++++++***)))((((((,,,,,,,,,,,,---------...,,,,,,------------,,,,,,))))))*********+++++++++++++++++++++++++++++++++,,,,,,++++++******))))))---------,,,+++***(((((()))))))))***+++---...///,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++******++++++,,,+++++++++++++++***)))))),,,,,,+++++++++******)))(((((((((((()))***++++++++++++************++++++))))))***++++++++++++***,,,+++*********+++,,,---,,,,,,,,,,,,,,,,,,++++++)))***+++,,,------------+++,,,,,,,,,***+++,,,...++++++))))))))))))++++++((('''''')))+++---,,,+++,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++*********++++++,,,,,,---******+++++++++,,,,,,,,,,,,,,,,,,,,,------------++++++,,,,,,,,,---------***+++---------+++)))''',,,,,,,,,,,,++++++++++++------------,,,,,,,,,,,,,,,,,,,,,---......//////222666;;;<<<:::444///,,,---......//////......---+++,,,,,,------.........//////...---,,,,,,,,,,,,------,,,,,,,,,,,,------..................//////.........///......---,,,............////////////........................///..................///..........................................------....../////////...------000//////......//////000......////////////......,,,,,,------------,,,,,,////////////////////////////////////////////////////////////////////////...////////////000000000........................000000000000000000000000........................///////////////......---................................................,,,,,,,,,---------......,,,,,,------...//////000------------------------000000111111000///---,,,...........................------------...//////,,,,,,,,,,,,,,,,,,,,,,,,------------------------,,,------...//////000000000000000000000000000000........................---------............//////............///000000////////////////////////...---+++,,,...000000///111000000////////////000........./////////////////////000000000000/////////..................///------......//////000000........................)))***,,,---...---,,,+++))))))*********++++++++++++++++++++++++++++++,,,(((((()))++++++,,,,,,+++++++++***(((''''''***,,,******+++++++++,,,,,,,,,******++++++++++++*********+++,,,------,,,++++++)))))))))*********++++++,,,,,,,,,,,,,,,,,,,,,,,,***+++,,,,,,---------,,,***+++,,,------,,,***))),,,,,,,,,,,,+++***))))))++++++,,,,,,,,,---------------...//////...------*********+++++++++,,,,,,++++++++++++++++++++++++++++++******++++++,,,,,,///......------...///000---,,,***))))))+++---...,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++******++++++,,,+++++++++++++++******)))++++++,,,------,,,+++***))))))))))))***+++,,,---++++++************++++++((()))***+++,,,++++++*********+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---......---------+++,,,---,,,+++,,,---///,,,+++***))))))***+++,,,(((((((((***,,,---,,,+++++++++++++++++++++++++++---,,,***))))))***,,,---)))******+++,,,,,,------******+++++++++,,,,,,,,,+++++++++,,,,,,,,,------++++++,,,,,,---------,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------,,,,,,,,,---------------,,,,,,------.../////////333555999;;;;;;555...(((++++++,,,------,,,++++++++++++,,,,,,---....../////////...---,,,,,,,,,,,,......---,,,,,,---......------......//////000000......//////...------,,,............////////////..............................------------............................../////////...---------,,,......//////......---,,,///..................///......////////////......------............------........................////////////////////////////////////////////////.../////////000000000000/////////......------,,,000000000000000000000000------------------------///////////////......---........................///......------,,,,,,,,,,,,,,,,,,---------......------..................------------------------...///000111111000...---...........................------,,,---...///000,,,,,,,,,,,,,,,,,,,,,,,,........................---------------.........................................................---------............//////......---...///000111////////////////////////...,,,+++,,,...000000000...//////000000000000///------......//////000000......///000000///.........//////000000//////............///////////////........................)))***,,,.........,,,+++******+++++++++,,,,,,,,,------,,,++++++*********(((((()))++++++,,,,,,,,,)))))))))((('''(((+++...*********++++++,,,,,,,,,******++++++++++++******,,,---.........---,,,+++((())))))))))))*********,,,,,,,,,,,,,,,,,,,,,,,,***+++,,,,,,------------***+++,,,------+++***(((******+++,,,------------******+++++++++,,,,,,,,,---...///000000///...---++++++,,,,,,,,,---------++++++++++++++++++++++++*********+++,,,---///000)))(((''''''(((+++...000111...+++(((''')))+++---,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++,,,+++,,,,,,,,,,,,+++*********+++---......---+++***************+++,,,---...++++++************++++++((()))***+++,,,+++******)))***+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,////////////...---,,,,,,+++,,,------,,,,,,...000,,,,,,+++******+++,,,,,,)))))))))+++---...---,,,++++++++++++++++++++++++...,,,***((((((***,,,...))))))***+++,,,,,,------******+++++++++,,,,,,,,,,,,,,,---------.........***+++,,,---------,,,,,,,,,++++++***,,,...000222,,,,,,,,,------.........,,,,,,,,,------.........,,,,,,------...///000000444555777;;;;;;666---%%%)))***+++,,,,,,+++***)))++++++,,,,,,---...//////,,,,,,,,,,,,---.../////////...------------...///,,,------...///000111111.../////////...---,,,,,,............/////////000........................---------,,,,,,---------........................000000///...------,,,,,,.../////////...---,,,,,,......------------............////////////............////////////.....................---------////////////////////////////////////////////////.../////////000000111111000000///...------,,,,,,////////////////////////------------------------///////////////......---////////////////////////......---,,,,,,+++******,,,,,,,,,---------....../////////...------,,,,,,------------------------,,,---///111222111000///111111111111111111111111......---,,,---...///000,,,,,,,,,,,,,,,,,,,,,,,,////////////////////////.........---,,,,,,++++++************************........................---------........./////////...------...///000111////////////////////////...,,,++++++...000000000---...///111111111000///,,,------...///000111111,,,---...//////...---,,,...///000111111000///...///////////////.........000000000000000000000000,,,++++++***)))))))))***+++,,,------,,,+++)))(((+++***************++++++************************...............---------+++,,,------,,,+++)))(((+++***)))***,,,---------+++++++++******)))))))))///......---,,,,,,,,,------------,,,,,,+++++++++........................+++,,,---...---,,,+++***))))))***+++,,,,,,------,,,+++++++++***))))))))),,,,,,+++***+++,,,---...///......------,,,,,,+++***************************+++,,,---.../////////---------,,,+++***)))(((+++++++++,,,,,,---------++++++++++++++++++++++++++++++++++++++++++++++++,,,++++++******++++++,,,,,,+++***))))))***+++,,,************************++++++************+++++++++,,,,,,------,,,,,,++++++(((### ###(((+++((()))***+++,,,------...))))))*********+++++++++......---------,,,,,,,,,++++++,,,,,,,,,++++++***)))((()))+++---...---,,,,,,,,,,,,,,,,,,,,,,,,,,,)))************++++++++++++++++++***++++++,,,,,,+++,,,,,,---,,,+++)))(((+++,,,...//////...,,,+++,,,,,,,,,,,,,,,+++***)))***++++++,,,,,,++++++***------------------------)))***+++,,,------------------,,,+++++++++,,,,,,---000333555555333000---,,,------......------,,,))))))***+++,,,,,,------,,,,,,,,,---------......---------............///........................................................................---...///...------...///---------...///000000111////////////////////////------......------,,,+++---......///////////////////////////////////////333333222111000///............////////////..............................000000//////............////////////////////////////////////////////////////////////////////////000//////......---,,,,,,***++++++,,,---...//////000000///...---,,,,,,++++++,,,------......---------------,,,,,,+++++++++***++++++,,,,,,------....................................------,,,,,,,,,...........................---,,,,,,,,,...///000---...000111111111//////000///---,,,,,,---///000.................................------,,,,,,,,,+++++++++,,,,,,------------......//////......---////////////////////////////////////////////////000000//////.........---////////////////////////000000000///......------//////............//////...///000000000///---,,,......//////000000111111000000000000000000000000......////////////......,,,,,,+++*********************+++++++++***)))(((++++++************++++++************************,,,,,,,,,,,,------------------......---+++***)))***)))))))))+++,,,---------------,,,,,,,,,++++++,,,+++******)))))))))***---------,,,,,,+++++++++------------------------------------,,,***((('''*********+++,,,,,,,,,---++++++++++++************,,,,,,+++++++++,,,---...++++++,,,,,,,,,,,,,,,,,,***************************+++,,,---------------******+++,,,,,,,,,,,,++++++++++++,,,,,,---------,,,,,,,,,+++++++++++++++++++++++++++++++++++++++,,,++++++******++++++,,,++++++***))))))***++++++************************++++++************+++++++++,,,,,,------,,,,,,+++...---+++******+++---...***+++---...---,,,)))(((*********+++++++++,,,,,,......---------,,,,,,,,,++++++,,,,,,,,,++++++++++++******+++,,,---,,,***,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++,,,,,,,,,,,,------,,,+++************,,,,,,,,,,,,,,,+++***)))+++,,,---......---,,,+++++++++,,,,,,,,,++++++***++++++,,,,,,,,,,,,++++++------------------------******+++,,,---------------,,,,,,,,,,,,,,,---------///222444444222///---,,,------......------,,,*********+++,,,,,,,,,---,,,,,,,,,,,,---------------------............///........................................................................---...///...------...///------......///000000111////////////////////////------......------,,,+++---......///////////////////////////////////////000000000///////////////......////////////..............................////////////......------////////////////////////////////////////////////........................------------------------,,,------......//////000/////////...------,,,,,,,,,,,,---...............///.........------------............------------.................................------,,,,,,,,,........................---------------...//////---...///000000000000000///...,,,++++++,,,...///.................................------,,,,,,,,,,,,,,,---------.........,,,------------------,,,////////////////////////////////////////////////000/////////............////////////////////////........./////////////////////............/////////////////////......---////////////000000000000000000000000000000000000......////////////......---,,,,,,+++++++++++++++((())))))***+++*********++++++************++++++******************************++++++,,,,,,------/////////...---+++***)))))))))))))))***+++,,,,,,---------,,,,,,,,,,,,+++...---,,,,,,,,,,,,,,,,,,------,,,,,,,,,,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++***)))(((++++++++++++,,,,,,,,,,,,*********+++++++++++++++,,,,,,+++++++++,,,---...))))))***++++++,,,------++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,+++((((((***,,,---.........++++++,,,,,,,,,,,,------------,,,,,,++++++******++++++++++++++++++++++++,,,++++++******++++++,,,++++++***))))))***++++++++++++++++++++++++++++++++++++************+++++++++,,,,,,------,,,,,,+++)))***,,,,,,,,,,,,***)))(((***---//////,,,)))'''+++++++++,,,,,,,,,------......---------,,,,,,,,,+++++++++,,,,,,,,,,,,,,,---,,,++++++,,,,,,***)))++++++++++++++++++++++++,,,,,,,,,,,,------------......,,,+++***))))))))),,,,,,++++++******++++++***+++,,,------,,,+++******++++++,,,,,,,,,,,,+++++++++,,,,,,,,,,,,++++++------------------------***+++,,,------...---------,,,,,,,,,---...//////...///000111111000///...,,,------......------,,,++++++++++++,,,,,,,,,,,,++++++++++++,,,,,,,,,,,,---------............///........................................................................---...///...------...///------......///000000000////////////////////////---............---,,,,,,---......///////////////////////////////////////------......//////000000......////////////.............................................---------////////////////////////////////////////////////........................,,,,,,------...//////000////////////////////////........................---......///////////////000000000///////////////111111000000///......---.................................---------------........................,,,---......///.....................///000111222...---,,,++++++,,,---....................................---------------.............../////////---------......---------////////////////////////////////////////////////////////////............////////////////////////------......///000000111//////............//////000//////............///000000000000////////////000000000000000000000000......////////////......------,,,++++++,,,,,,---((())))))***+++,,,,,,,,,,,,,,,+++*********++++++************************)))******+++,,,------...//////...---+++***)))((())))))******)))***+++,,,************************///...------------......,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++((()))***+++,,,---......,,,,,,,,,,,,,,,,,,++++++*********++++++,,,,,,,,,+++++++++,,,,,,,,,------******++++++,,,,,,,,,,,,++++++++++++++++++++++++++++++,,,,,,,,,+++******((()))***,,,---.........,,,,,,,,,,,,,,,,,,,,,,,,---------,,,,,,+++******++++++++++++++++++++++++,,,++++++******++++++,,,+++******************+++++++++++++++++++++++++++++++++************+++++++++,,,,,,------,,,,,,+++&&&''')))******)))'''&&&&&&(((+++---...---,,,+++,,,,,,,,,---------............---------,,,,,,,,,,,,+++++++++,,,,,,---------,,,******+++,,,+++***************************,,,,,,,,,,,,------------------,,,+++************---,,,+++*********,,,,,,***++++++,,,,,,++++++*********+++,,,------------+++,,,,,,,,,,,,,,,,,,+++------------------------++++++,,,---......------,,,,,,,,,---...///000111........................,,,------......------,,,,,,,,,,,,,,,,,,,,,++++++******+++++++++,,,,,,,,,---------............///........................................................................---...///...---------///............//////000000////////////////////////...............------,,,---......///////////////////////////////////////........./////////000000......////////////..........................................------------////////////////////////////////////////////////------------------------......//////000000000000////////////......---------------.........//////......///000000000000000000000//////////////////000000000000//////.............................................---------........................,,,---.../////////------...---------...000222333...------,,,,,,------..........................................---------........................//////............/////////////////////////////////////////////////////////////////////.........////////////////////////............//////000000//////............//////000///...------...///000111111000000//////......////////////////////////......////////////......,,,,,,,,,++++++,,,------*********+++,,,---...///---,,,,,,+++******++++++***************************++++++,,,---......///------,,,+++))))))(((((()))***+++***))))))+++---************************+++***************++++++,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++******+++,,,---///000000------,,,,,,,,,,,,,,,,,,******++++++,,,,,,,,,---++++++,,,,,,,,,---------......------,,,,,,,,,+++++++++++++++++++++++++++++++++,,,,,,,,,+++*********+++,,,---------------,,,,,,,,,,,,,,,,,,,,,,,,---------,,,,,,,,,++++++++++++++++++++++++++++++,,,++++++******++++++,,,*********++++++*********++++++++++++++++++++++++++++++************+++++++++,,,,,,------,,,,,,++++++++++++******+++++++++)))))))))***+++,,,...///,,,,,,---------...............---------,,,,,,,,,,,,,,,+++++++++,,,---...,,,+++))))))+++,,,,,,,,,************************++++++++++++,,,,,,,,,,,,************+++,,,------,,,,,,*********+++,,,---++++++++++++++++++++++++***+++,,,---------------,,,,,,,,,------,,,,,,,,,------------------------,,,,,,---.........------,,,,,,,,,---...///000111...------------------...,,,------......------,,,------,,,,,,,,,,,,,,,,,,******+++++++++,,,,,,,,,---------............///........................................................................---...///...---------///............////////////////////////////////////......//////......---,,,---......///////////////////////////////////////111111111000000000//////......////////////......................................................000000000000000000000000////////////////////////......................../////////.........------//////...------,,,,,,,,,,,,,,,------.../////////...///000000111111000000........................------........./////////........................................................................,,,---...//////...---,,,...------------///111222//////............//////......................................................------------------...------,,,,,,------...////////////////////////////////////////////////.........///////////////////////////////////////000000//////............//////............//////000///...------...///000111111000000//////......////////////////////////......////////////......,,,++++++++++++,,,,,,---++++++++++++,,,...///000...---,,,++++++***++++++************************++++++,,,,,,------......,,,+++***))))))((())))))***,,,---,,,))))))+++...+++,,,,,,,,,,,,---------,,,++++++++++++,,,,,,---++++++,,,,,,,,,,,,------++++++++++++++++++++++++///......------------...,,,,,,,,,,,,------------+++++++++,,,,,,,,,,,,,,,***+++,,,---------,,,,,,//////...------,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,,,,,,,+++,,,------------,,,,,,+++------,,,,,,,,,,,,++++++,,,,,,,,,,,,------------++++++++++++++++++++++++,,,++++++******++++++,,,)))***++++++++++++***))),,,,,,,,,,,,,,,,,,,,,,,,++++++************+++++++++,,,,,,------,,,,,,+++---,,,+++******+++,,,---...---+++))))))***+++---,,,,,,,,,---------............---------,,,,,,,,,,,,,,,+++++++++---...///,,,***))))))+++,,,------++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,)))))))))***+++,,,......++++++******++++++,,,,,,,,,,,,,,,++++++,,,,,,,,,+++,,,,,,------------,,,,,,,,,------------,,,,,,------------------------------............---------,,,,,,,,,---...//////------------------------,,,------......------,,,,,,,,,,,,,,,------------++++++++++++,,,,,,,,,,,,---------............///........................................................................---...///...------...///......//////////////////////////////////////////...////////////...---------......///////////////////////////////////////222222111111000000000///......////////////.......................................///////////////000000000000000000000000////////////////////////////////////////////////...------,,,++++++******......------,,,,,,,,,+++---------.........//////...//////000000000000000,,,------------.........+++,,,,,,---......//////......................................./////////.................................///......---,,,......------......///000////////////////////////......................................./////////.........---------------,,,+++***))))))***+++,,,////////////////////////////////////////////////.........///////////////////////////////////////111000000///......------//////............/////////............//////000000000000000////////////000000000000000000000000......////////////......***************+++,,,,,,,,,++++++++++++,,,...///......---,,,++++++++++++************************++++++++++++,,,,,,,,,,,,++++++***))))))***++++++***---///---***))),,,///++++++,,,,,,,,,---------...------------...///000+++++++++,,,,,,---------,,,,,,,,,,,,,,,,,,,,,,,,///...---,,,,,,,,,,,,---+++,,,,,,,,,---.........,,,,,,,,,,,,,,,,,,++++++***+++,,,---------,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,***+++,,,---------------,,,---------------,,,,,,---------,,,,,,+++++++++++++++,,,,,,---.........++++++++++++++++++++++++,,,++++++******++++++,,,)))***++++++++++++***))),,,,,,,,,,,,,,,,,,,,,,,,++++++************+++++++++,,,,,,------,,,,,,+++++++++************++++++---,,,+++*********+++++++++,,,,,,,,,------------......---------,,,,,,,,,---,,,+++++++++---///000///,,,***)))***+++,,,+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------************+++,,,------)))***+++,,,,,,,,,,,,,,,------,,,,,,,,,,,,------------------------,,,,,,,,,,,,------------,,,,,,------------------------------............---------,,,,,,,,,,,,,,,------------............------,,,------......------,,,+++,,,,,,,,,---.........,,,,,,,,,,,,---------------------............///........................................................................---...///...------...////////////////////////...///////////////////////////////////////...---------......////////////////////////////////////////////////000000000000000......////////////............................../////////000000000111111000000000000000000000000////////////////////////000000000000000000000000------------,,,,,,,,,,,,............---------------------...............---...//////000000//////,,,,,,---------.........---------------------...........................---........./////////000........................//////...---------------......//////......------......////////////..............................---........./////////000/////////.........---------,,,***))))))***,,,---////////////////////////////////////////////////............/////////000///////////////////////////////////////.........//////............//////---......///////////////////////////000000000000000000000000000000000000......////////////......***)))))))))***++++++,,,,,,+++*********+++,,,---///...---,,,++++++++++++************************+++++++++***************,,,+++*********+++,,,---+++...000...***))),,,000)))))))))******+++++++++************++++++,,,---+++++++++,,,,,,---------,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++***+++,,,...///++++++,,,,,,---...//////---------,,,,,,+++++++++***+++,,,---...---,,,,,,*********++++++,,,------,,,,,,,,,,,,,,,,,,,,,,,,***+++,,,---.../////////+++,,,------.........------------,,,,,,+++++++++***++++++,,,---...//////++++++++++++++++++++++++,,,++++++++++++++++++,,,)))***+++,,,,,,+++***))),,,,,,,,,,,,,,,,,,,,,,,,++++++************+++++++++,,,,,,------,,,,,,+++,,,,,,---......---,,,,,,'''(((***,,,------------+++++++++,,,,,,,,,------......---------,,,,,,,,,---,,,+++***+++---///111111...+++))))))******))),,,,,,,,,,,,,,,,,,,,,,,,---------.........//////,,,,,,++++++***+++++++++(((***+++,,,---,,,,,,+++...------,,,,,,------...............---,,,++++++,,,------......------,,,---------------------------...............------------,,,+++++++++,,,,,,,,,---...//////...---,,,,,,------......------,,,++++++,,,,,,---...//////,,,,,,------------......---------.........//////........................................................................---...///...------...//////////////////.........///////////////////////////////////////......------......///////////////////////////////////////,,,,,,---...///000111111......////////////..............................//////000000111111222222000000000000000000000000////////////////////////000000000000000000000000......//////000111111111////////////////////////........................---......///////////////,,,---------......///////////////...------,,,,,,........................---.........//////000000........................000///...---,,,,,,---......//////000///---,,,+++------............------........................---.........//////000000111111000000/////////...000///---,,,,,,---///000////////////////////////////////////////////////---.........//////000000////////////////////////------......///000000000//////............//////,,,---///000000000///.........//////000000111111000000000000000000000000......////////////......---------......---,,,,,,...,,,******,,,---------///,,,)))))),,,,,,+++)))++++++++++++++++++++++++***++++++,,,------------))))))))))))((((((((((((,,,,,,,,,,,,,,,,,,,,,,,,'''(((***+++,,,,,,,,,+++...------,,,,,,------...)))***++++++,,,,,,++++++,,,+++***))))))***,,,---++++++,,,,,,,,,,,,---------+++)))***---......,,,,,,,,,,,,,,,,,,,,,,,,,,,------------------------,,,---......,,,******++++++++++++++++++++++++,,,---,,,,,,,,,,,,---...///...---,,,+++++++++,,,---///...---,,,,,,,,,,,,,,,---------,,,,,,+++++++++.........------,,,,,,,,,------------------------,,,---///111000---***'''++++++,,,,,,,,,,,,------+++***)))((((((***,,,---++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,---......//////......---------,,,,,,+++++++++((('''(((+++...000...+++---------,,,,,,+++++++++******,,,---------------,,,,,,,,,---------...............------,,,,,,,,,,,,,,,,,,++++++*********)))***,,,------,,,+++***+++,,,,,,------,,,,,,+++//////.........---------,,,,,,------.../////////+++***))))))))))))++++++,,,,,,,,,,,,,,,,,,,,,,,,+++++++++,,,,,,---------...............///000000........................+++,,,...//////...,,,+++------,,,++++++,,,,,,,,,000000000///.........---///...,,,++++++,,,---.......................................////////////........./////////000000////////////////////////111111111000//////......////////////000000000000000000000000000000000000//////000000111111222222......////////////......111111000000//////......////////////000000000000,,,---///000000000///...000000000000000000000000000000000000000000000000........................////////////////////////////////////............---.........//////000000////////////////////////......------------......///...---,,,***)))''''''---...///...------...///,,,...000111222111000///,,,---.../////////...---........................,,,///111111///---...///111000///------....../////////.........---------////////////////////////------............------,,,---...000000...---,,,///////////////.........000000//////.........---............---,,,++++++............////////////......//////000000111111000000000000000000000000000000000000000000000000000000000000000000000000......//////000000111111000000000000000000000000******+++,,,,,,,,,,,,,,,,,,,,,+++******+++---......,,,******,,,---,,,***++++++++++++++++++,,,,,,++++++,,,---------,,,,,,++++++++++++************,,,,,,,,,,,,,,,,,,,,,,,,)))***+++,,,------,,,,,,,,,,,,,,,++++++,,,,,,,,,***++++++,,,,,,,,,,,,,,,------+++***+++,,,...///++++++,,,,,,,,,,,,------...,,,***+++---///...---+++++++++,,,,,,------...---------,,,,,,---------+++---......,,,++++++,,,...------,,,+++***)))))),,,,,,,,,---------......------,,,+++++++++,,,---......------,,,,,,,,,,,,---------,,,,,,,,,++++++------------,,,,,,,,,,,,------------------------///......------,,,++++++++++++,,,,,,,,,,,,------,,,,,,*********+++---...++++++++++++++++++++++++........................,,,,,,---............------,,,,,,,,,,,,,,,,,,+++,,,******+++---...---***---------,,,,,,++++++++++++,,,,,,,,,,,,,,,,,,---,,,,,,,,,,,,---------------------------,,,,,,,,,,,,,,,,,,+++++++++******++++++,,,,,,,,,++++++***+++,,,,,,------,,,,,,+++///.........------------,,,,,,,,,,,,,,,,,,,,,,,,111000///.........///000,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,,,,,,,,,,,,,---...............//////000........................***+++---......---+++***------,,,,,,,,,,,,,,,---.........---------------,,,---------...---------....................................////////////,,,,,,------------------////////////////////////////////////////////////////////////000000000000000000000000000000000000............////////////...//////000000//////...////////////000000000000////////////000000000000---...//////000000//////000000000000000000000000000000000000000000000000........................////////////////////////////////////......................../////////000/////////////////////////////////......///////////////......---------,,,---...//////------...///---...000111111111//////......---------...///000........................---...///---++++++...000111000///...---....../////////.........---------........................------............------///000111222222111000////////////////////////...000/////////............,,,,,,---.........------////////////000000000000000000000000////////////000000000000000000000000000000000000000000000000000000000000000000000000---.........////////////000000000000000000000000(((((()))******+++++++++)))+++,,,***((())),,,///---,,,******,,,------,,,*********++++++,,,,,,,,,,,,,,,---------,,,++++++,,,,,,+++++++++*********,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,---------,,,,,,,,,++++++******++++++,,,++++++,,,------------------,,,+++++++++,,,...///++++++,,,,,,,,,,,,------...---+++,,,---///......******+++,,,---...//////...---,,,++++++,,,---...+++---......,,,++++++,,,------,,,,,,+++++++++***+++,,,---.........---,,,---,,,,,,++++++,,,,,,---...------------,,,,,,,,,------------,,,,,,,,,,,,+++,,,,,,,,,,,,,,,,,,---------------------------111///---******+++---...++++++,,,,,,,,,,,,---------,,,+++++++++,,,...///,,,,,,,,,,,,,,,,,,,,,,,,........................++++++,,,---------------+++,,,,,,,,,,,,,,,,,,------+++***+++---......---------,,,,,,,,,,,,++++++...---,,,+++++++++,,,---++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,------------,,,,,,,,,,,,++++++++++++------,,,++++++++++++++++++,,,,,,------,,,,,,+++............------------,,,,,,++++++++++++******///...---,,,,,,,,,,,,,,,---------------------------,,,,,,,,,,,,,,,,,,+++......------......///000........................***+++,,,------,,,+++***------,,,,,,,,,------...,,,,,,,,,,,,,,,---------***+++---///000///...,,,....................................////////////------------------,,,,,,////////////////////////,,,------...//////000000////////////000000000000000000000000000000000000////////////............///000000111111000000///.........///000111111111////////////000000000000//////......//////000111000000000000000000000000000000000000000000000000////////////////////////////////////////////////////////////........................////////////////////////////////////000000////////////000000------......///000000000---...//////------...///---...///000111000///...///...---,,,,,,...000222........................///...---***)))***...111000///......------.....................---------------------------------------............------,,,---...//////...---,,,......//////////////////////////////............++++++,,,......///////////////000000000111111111111111000000///.........000000000000000000000000000000000000000000000000////////////////////////------------............000000000000000000000000*********))))))))))))***'''***,,,+++''''''+++000---,,,++++++,,,---......*********++++++,,,,,,---------------,,,++++++************)))))))))((((((++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,++++++,,,,,,++++++++++++,,,,,,+++,,,------......------+++*********+++,,,---...+++++++++,,,,,,,,,------///...---------.........+++,,,,,,,,,------......///...,,,++++++,,,...///+++---......---,,,,,,---))))))***+++,,,......///***,,,...//////...,,,+++,,,,,,,,,,,,,,,,,,---------------------------,,,------------------,,,,,,***+++++++++,,,,,,------------------------------111///,,,******+++---///+++++++++,,,,,,,,,------,,,,,,,,,+++,,,---......,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,***+++,,,,,,------,,,,,,+++++++++,,,,,,---------,,,+++***+++,,,///000111,,,,,,,,,,,,,,,,,,,,,,,,///...,,,*********,,,---******+++++++++,,,,,,,,,+++++++++,,,,,,------...,,,,,,,,,,,,,,,,,,,,,,,,///...,,,+++******+++,,,+++,,,,,,------,,,,,,+++------------------------******++++++++++++++++++++++++***))))))(((((((((........................---------,,,,,,+++++++++...------------...//////........................+++,,,,,,------,,,,,,+++------------------...///+++,,,,,,,,,------......***+++---.../////////.......................................///////////////////////////.........////////////////////////------------......//////////////////000000000000////////////////////////222222111111000000//////000000111111111111000000.../////////000000000111////////////000000000000000///.........///111222////////////////////////////////////////////////000000000000000000000000////////////////////////////////////.....................///////////////////////////////////////000//////////////////000+++,,,,,,---...//////000---///000///...---...///......///000000//////.........------...///000111........................///...---++++++,,,.../////////......------------........................------------------------------............------+++,,,------------,,,+++............///////////////////////////.........,,,,,,---...............////////////000000000000000000000000////////////////////////////////////////////////////////////////////////////////////........................////////////////////////...---,,,***))))))))))))&&&***,,,+++'''''',,,111------------,,,---......*********++++++,,,,,,,,,------------,,,++++++***************))))))))))))+++++++++++++++++++++++++++++++++***************------,,,,,,,,,,,,------+++,,,------......------+++++++++,,,---......///+++++++++,,,,,,,,,------.........---------...///.........------,,,,,,,,,...---,,,,,,,,,,,,---...+++---......---,,,---...)))******,,,---...//////+++,,,...//////...,,,***+++++++++,,,,,,---------,,,,,,---......------,,,------------------------+++++++++,,,,,,---------------------------------...------------,,,,,,,,,+++++++++,,,,,,,,,------+++++++++++++++,,,,,,---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,***+++,,,,,,------,,,,,,+++++++++,,,,,,---------------,,,,,,+++,,,...000,,,,,,,,,,,,,,,,,,,,,,,,///...,,,*********,,,---******+++++++++,,,,,,,,,***++++++,,,,,,---------,,,,,,,,,,,,,,,,,,,,,,,,///...,,,+++***+++,,,---+++,,,,,,------,,,,,,+++,,,,,,------------------)))******+++,,,------...---------------,,,,,,+++........................---------,,,,,,+++++++++---------------...//////........................------............------...---------......///000------......//////000000------,,,,,,---///000111..................................../////////////////////////////////...//////////////////////////////......------------////////////000000000000////////////////////////222222111111000000//////000000111111111111000000111000000000/////////...////////////000000000000000000///......000111222////////////////////////////////////////////////000000000000000000000000////////////////////////////////////............///////////////.........///////////////////////////......------......///------.....................///000///......///000....../////////.........+++,,,///111111111000///////////////////////////........./////////...---...............------,,,---.............................................------............------/////////000000/////////---.........//////000000.........///////////////.../////////......---,,,---------.........//////---......///000111111222////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////000...---+++*********+++(((***+++***))))))---000...//////...,,,,,,---///++++++++++++++++++++++++,,,,,,---------,,,++++++---,,,,,,,,,,,,++++++++++++++++++++++++++++++++++++******))))))***++++++...------,,,,,,------...++++++,,,---------------,,,,,,---...///000000111++++++,,,,,,,,,,,,------......///---,,,+++---...000000///...---,,,++++++------------------------+++---...///---------......---------,,,,,,,,,+++,,,---.........---,,,+++******+++,,,------------+++,,,---.........---,,,------------............,,,,,,---------------...------------------------+++,,,...///...---,,,+++++++++,,,,,,,,,,,,------***+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,........................++++++,,,---------------+++,,,,,,,,,,,,,,,,,,---...//////---+++******,,,++++++,,,,,,,,,,,,------...---,,,+++++++++,,,---++++++++++++,,,,,,,,,,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,------------------,,,,,,,,,,,,------+++,,,,,,------,,,,,,+++,,,,,,,,,,,,------------)))******+++,,,,,,------------............---------------------------------,,,,,,,,,,,,,,,,,,+++------,,,,,,------...///........................///..................///...............///000111000000000000000111111111///...,,,,,,,,,...000222....................................////////////,,,,,,,,,---------......////////////////////////000000//////...------,,,////////////000000000000000000000000000000000000////////////............///000000111111000000///111111111000///.........////////////000000000000000000//////000000111111000000000000000000000000000000000000000000000000////////////////////////////////////////////////////////////............///////////////.........////////////////////////......------------......000000000000000/////////...///000000......///000//////..................))),,,///222333222000...////////////////////////.........000111111...,,,---............---,,,,,,---------...............////////////////////////------............------........................------......///000000000.........///////////////000000000//////---,,,,,,,,,,,,---------.........,,,---...///000111222333000000000000000000000000000000000000000000000000////////////////////////000000000000000/////////000000000000000000000000---,,,+++******+++---...************+++,,,...000000111111///,,,+++,,,...---,,,,,,++++++*********++++++,,,---------,,,,,,------,,,,,,,,,+++++++++************************+++******)))***+++---------,,,,,,,,,,,,,,,,,,---***++++++,,,,,,,,,,,,,,,******+++---.../////////++++++,,,,,,,,,,,,---------...///---+++***,,,...//////......------,,,,,,+++,,,...//////...,,,++++++---//////...---.../////////...---,,,++++++***......---------,,,,,,,,,)))***+++---......------***+++---...///...---,,,------------.........//////..................---------------------------,,,,,,---......------,,,++++++,,,,,,,,,,,,------+++,,,,,,---------------------------------------........................,,,,,,---............------,,,,,,,,,,,,,,,,,,+++))),,,...---+++***+++---+++++++++,,,,,,---------+++,,,,,,,,,,,,,,,,,,---,,,,,,,,,,,,------------,,,,,,,,,+++++++++++++++,,,,,,,,,---------......++++++,,,---............+++,,,,,,------,,,,,,+++++++++,,,,,,,,,---------+++++++++******)))))))))((()))+++,,,---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,,,,,,,,,,,,,---------,,,,,,------...///.................................------.....................///000111222111111111111111000000000///...............//////....................................////////////***++++++,,,---...//////////////////////////////////////////////////////////////////000000000000000000000000000000000000............////////////...//////000000//////...000000000000////////////////////////000000000000//////000111111111111000000000000000000000000000000000000000000000000000........................////////////////////////////////////............000/////////............//////////////////////////////............//////////////////////////////...000111000///...///000//////......------------***,,,///111222222111000////////////////////////000...,,,---///000...---------.........---,,,+++---------.........//////........................------............------,,,++++++++++++++++++,,,------......///000000111............/////////000...///////////////...---------------.........///---......///000111111222000000000000000000000000000000000000000000000000000000000000000000000000000000/////////.........000000000000000000000000******))))))***,,,///000,,,***)))***,,,/////////111222222000,,,***,,,......------,,,+++***))))))***+++,,,,,,------------+++++++++*********))))))************************++++++******+++---...000,,,++++++++++++++++++,,,******+++,,,,,,,,,,,,+++&&&&&&((()))***+++++++++++++++,,,,,,,,,---------,,,......---***)))+++---------..................***,,,...000000...,,,***+++---//////.........///------------------------///...---,,,,,,,,,,,,---)))***+++---......------***+++---//////...---,,,---------.........//////000000000///.........------------------------------------,,,---------...++++++,,,,,,,,,---------,,,---......//////......------------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,---......//////......---------,,,,,,+++++++++!!!%%%***,,,------///222+++++++++,,,,,,---------***+++,,,---------------,,,,,,------------......---,,,,,,++++++*********,,,,,,,,,------.........)))***,,,...//////......+++,,,,,,------,,,,,,++++++++++++,,,,,,------------,,,+++)))(((&&&%%%$$$((()))+++---.........---,,,,,,,,,,,,,,,,,,,,,,,,+++++++++,,,,,,------------,,,,,,,,,,,,---.................................------,,,,,,------...............///000222222222222111111000000//////---...000111000///---,,,..................................../////////000+++,,,---...///111222222////////////////////////......//////000111111111////////////000000000000000000000000000000000000//////000000111111222222......////////////............//////000000111111////////////000000000000...///111222222111111000000000000000000000000000000000000000000000000000........................////////////////////////000/////////............000000//////.........---////////////////////////000000////////////000000++++++,,,,,,---............000111000///...///111000///...---------------,,,---...///000111222222000000000000000000000000111...***))),,,.........,,,---.........---,,,+++---------.........//////---------------------------..................---///......------......///---------...///000000111---.........//////000000,,,---...///000000000000............/////////000////////////000000000000000000000000000000000000000000000000000000000000111111111111111111111111//////.........---------000000000000000000000000,,,,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,---...///000333222111///...,,,+++***)))******++++++,,,------,,,,,,,,,,,,,,,,,,,,,,,,...------,,,+++***)))))),,,,,,,,,+++++++++******************+++,,,------+++++++++*********))))))(((***,,,......,,,***(((.........------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---.........---,,,,,,+++,,,---......//////......////////////////////////,,,,,,,,,,,,,,,,,,,,,,,,+++++++++,,,,,,,,,------........................------------------------------------------------------------------------------------------------------------------------......................................................---------,,,,,,,,,,,,------......------,,,...------,,,++++++++++++000000//////............,,,++++++******++++++,,,---......//////......---......---------...//////,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------,,,++++++...000+++,,,---.........---,,,------------------------...---+++***)))***++++++//////.........------------,,,+++***+++,,,---...---------,,,,,,+++++++++.........------,,,,,,,,,------------------,,,,,,........................------------------------.........------,,,,,,,,,,,,,,,---///000222333333111111111111111000///...------------------------.../////////---,,,---.../////////...---------,,,...........................---,,,,,,++++++++++++222111000///..................//////000000111111////////////////////////......000111222222222222//////.........---------333222000/////////000111111111111111000000000000000000000000////////////------............------000000000000000000000000111111000///////////////......///000000000000000000000//////.........---333222111///---,,,,,,+++//////000000///...------000000000000000000000000////////////000000000000////////////////////////000000//////.........---,,,------...///000111111000111222333333222111000000000//////.........---------------------------000///...---,,,------.................................////////////..............................000000000000000000000000000000000///......------////////////////////////,,,------...///000111111///////////////000111111111111000000//////......000000000000000000000000000000000000000000000000---...000111111111000///111111000000//////......,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++,,,---...///222222000///...,,,++++++,,,+++++++++++++++++++++,,,,,,++++++++++++,,,,,,------,,,,,,+++*********,,,,,,,,,+++++++++******+++++++++***++++++,,,,,,---,,,,,,,,,+++++++++***000000////////////000000...---------,,,,,,,,,,,,------------------------------......------,,,+++,,,---......//////..............................------------------------,,,,,,,,,,,,------------........................------------------------------------------------------------------------........................,,,,,,,,,,,,,,,,,,,,,,,,......................................................---------,,,,,,,,,,,,------......------,,,------,,,,,,+++,,,,,,,,,.........---------,,,,,,,,,,,,++++++++++++,,,,,,+++,,,,,,------,,,,,,+++---------,,,------...///,,,,,,,,,,,,,,,,,,,,,,,,............------------+++,,,------,,,,,,...000+++,,,---.........---------------------------------,,,,,,+++******++++++......------,,,,,,,,,,,,,,,,,,++++++,,,,,,---...---------,,,,,,+++++++++......---------,,,,,,,,,------------------------........................------------------------//////.........---------...//////000000111111111222222333222222111111000........................///000111000...---...///...............---------........................///......---,,,,,,------000000////////////000000.../////////000000000111////////////////////////---...///000111111111111000000000//////.........222222000/////////000000000000000000000000000000000000000000////////////---...///000000///...---000000000000000000000000111111000///////////////......///000000000000000000/////////............//////............/////////////////////...------000000000000000000000000.../////////000000000000////////////////////////000/////////............------......//////000000000000111222222111000000000/////////.........---........................000///...---,,,------.................................////////////......000000000000000000000000........................------......///000000000////////////////////////------......//////000000///////////////000111111111000000000/////////...000000000000000000000000000000000000000000000000......///000000000000000111000000000/////////...,,,,,,,,,,,,,,,,,,,,,,,,++++++***++++++,,,---...111000000...---,,,++++++------,,,,,,+++******)))---,,,***))))))***,,,---,,,,,,,,,,,,++++++++++++,,,,,,,,,+++++++++******---,,,,,,++++++++++++,,,------------,,,,,,,,,,,,000...+++))))))+++...000------,,,,,,,,,,,,++++++........................------......------,,,,,,,,,---......//////......................................................,,,------------.................................------------------------------------------------........................////////////////////////------------------------......................................................---------,,,,,,,,,------............------,,,,,,,,,,,,,,,,,,---...,,,,,,,,,,,,++++++++++++---------,,,,,,---------+++,,,,,,------,,,,,,+++,,,,,,,,,,,,,,,---......,,,,,,,,,,,,,,,,,,,,,,,,......------,,,,,,,,,+++)))+++---...------...///+++,,,------......------------------------------,,,,,,,,,,,,,,,++++++***---,,,,,,,,,,,,+++++++++++++++,,,---------------------,,,,,,,,,,,,++++++...------------,,,,,,,,,+++,,,,,,------.........------------------------------------------------////////////............000000000///////////////333333333444333333222111////////////////////////000111111111///...///000---------...............////////////////////////000///..................---......///000111111222////////////000000000000000000000000000000000000---......///000000000000111111000000000000//////111111000/////////000000////////////////////////000000000000////////////---///000111111000///---000000000000000000000000111000000///////////////......///000000000000000////////////............//////............/////////////////////......---000000000000000000000000....../////////000000000////////////////////////////////////...................../////////////////////000000000000///////////////...............//////////////////////////////...------------.................................////////////......000000000000000000000000........................------......///000000000////////////////////////.........//////////////////////////////000000111000000000000////////////000000000000000000000000000000000000000000000000///////////////000111111000000000000////////////,,,,,,,,,,,,,,,,,,,,,,,,+++*********++++++,,,---//////......---,,,++++++,,,,,,,,,++++++*********...,,,***((((((***,,,...+++++++++,,,,,,,,,------,,,,,,,,,+++++++++******...---,,,+++++++++++++++---------,,,,,,,,,,,,,,,---+++(((&&&&&&(((+++---,,,,,,,,,,,,,,,,,,,,,+++------------------------,,,------...------,,,,,,,,,---......///.................................------------............---------.........//////........................------------....................................////////////////////////........................////////////////////////......................................................---------,,,,,,,,,------............------,,,,,,,,,,,,,,,---...///,,,,,,++++++++++++++++++......------------......---......//////......---++++++++++++,,,,,,---...------------------------,,,++++++******))))))((((((***---///.........///,,,,,,,,,---------------------------------------++++++---------,,,+++***---,,,,,,,,,,,,,,,,,,,,,***+++---.........---,,,,,,,,,,,,,,,,,,,,,,,,,,,------------------------++++++,,,,,,---...//////------------------------------------------------..................------........................222222333333333222222111///////////////////////////000111000...---...///,,,---------.../////////000000000000000000000000//////......---......///---...///000000111111111////////////000000000000000000000000000000000000------...///////////////000000000000000000000000000000000/////////000000............////////////000000000000////////////...///111333333111///...////////////////////////000000////////////000000......///000000000000000///////////////.........222111000///------,,,,,,...///////////////......////////////////////////........./////////000000///////////////////////////////////////.........///////////////............//////////////////...........................////////////////////////............------....................................////////////......................................................000000000///......------///////////////////////////////////////.........000000////////////000000000000000000////////////////////////////////////////////////////////////000///.........///111222000000000000////////////,,,,,,,,,,,,,,,,,,,,,,,,++++++*********+++,,,,,,......------,,,,,,++++++******+++++++++,,,,,,,,,...,,,***((((((***,,,...+++++++++,,,,,,---......,,,,,,,,,+++++++++******......---,,,+++++++++++++++++++++,,,,,,,,,,,,,,,...---,,,,,,,,,,,,---...,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------...------,,,,,,---......///.................................++++++,,,,,,,,,------------------.........//////........................---------....../////////........................////////////////////////------------------------..............................................................................---------,,,,,,,,,---......//////......---,,,,,,,,,,,,---......///,,,,,,,,,,,,------------///......------......///---......//////......---+++******+++,,,---...///------------------------+++++++++******)))))))))(((+++...///...---......,,,,,,,,,,,,------......------------------------***+++---......---,,,+++------------............+++,,,---...///...---,,,,,,,,,,,,,,,,,,,,,,,,,,,------------------------++++++,,,,,,---...//////------------------------------------------------,,,,,,,,,,,,,,,,,,,,,,,,******++++++,,,------...000000111111111111000000...........................///000///---,,,---...,,,---------.../////////000000000000000000000000...---------------......//////000000000000//////000000000000////////////000000000000000000000000---......////////////.../////////////////////////////////000000000//////---........./////////000000000000000///////////////000111333333111000///////////////////////////000000////////////000000......///000000000000000.........///////////////222111000...------------......///////////////...////////////////////////............////////////////////////////////////.........//////////////////////////////.........///..................///---------.......................................------..................////////////////////////......////////////..............................////////////////////////000000000///......------///////////////////////////////////////.........000000////////////000000////////////000000000000////////////////////////////////////////////////000///.........///111222////////////000000000000,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,)))******+++,,,,,,------...---+++******+++---...++++++,,,,,,------......,,,,,,,,,+++++++++******...------,,,,,,,,,,,,---++++++++++++,,,,,,,,,,,,---...////////////...---,,,,,,------------......,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------......------,,,---......//////......------------------------***++++++,,,,,,---------,,,------------.................................---------...//////000000................................................------------------------,,,,,,,,,,,,,,,,,,,,,,,,......................................................---------,,,,,,,,,......////////////......------------------...///------------..................------------......+++,,,,,,------,,,,,,+++++++++++++++,,,...///000------------------------,,,---------------------***,,,......---,,,---...---,,,,,,,,,,,,---...///------------------------+++,,,,,,---------------------...............///,,,,,,---...............++++++,,,,,,,,,,,,------,,,,,,,,,------------...+++,,,,,,------.........,,,,,,,,,,,,,,,,,,,,,,,,------------------------+++++++++++++++,,,,,,,,,)))******+++,,,------------...//////000/////////........................---//////...---,,,---...---------...............////////////////////////---------,,,------...///...///000111111000///...000000000000////////////000000000000000000000000...//////000000/////////......////////////000000......///000000000//////.........//////000000111000000000000////////////000000111111111111000000000000000000000000000000///////////////000000111......///000000000000000.........///////////////......---......///000111---...//////////////////000000000000000000000000------........./////////////////////////////////.........///////////////........./////////////////////............//////---------------.................................,,,---......///.........////////////////////////......////////////......000000000000000000000000000000000000000000000000------......///000000000////////////////////////.........///////////////111000000///////////////////////////000000000000000000000000000000000000000000000000000000000000///////////////000111111////////////000000000000,,,,,,,,,,,,,,,,,,,,,,,,------,,,,,,,,,,,,------+++++++++++++++,,,,,,,,,+++++++++++++++++++++,,,...------,,,,,,------...,,,,,,,,,---------------,,,,,,,,,+++++++++******------,,,,,,,,,------...,,,,,,,,,,,,---------...---------......------------------....../////////------------------------+++,,,------......------,,,---......//////......------------------------++++++,,,,,,---......///,,,,,,,,,,,,------------........................---------...///000000000........................------------------------........................------------------------......................................................---------,,,,,,,,,......////////////......///......------------...,,,---------.........///...------------------...+++,,,,,,------,,,,,,++++++++++++,,,---///000111........................,,,,,,------......//////---......---++++++,,,...------,,,,,,,,,---...///------------------------,,,,,,,,,,,,,,,---......,,,,,,,,,------.........---------------...//////+++++++++,,,,,,---------,,,,,,,,,---------......------------------------,,,,,,,,,,,,,,,,,,,,,,,,------------------------+++++++++,,,,,,---------,,,,,,,,,,,,------------------...///////////////////////////////////////...///000///...------///...............---------..............................------...//////000,,,---///111222111000///111000000000/////////...///////////////////////////000000111111000000////////////000000111111111------///000000000//////......///000000111222222000000000000////////////111000////////////000111000000000000000000000000///////////////000111111......///000000000000000............/////////000---------......///000111------...///////////////000000000000000000000000---------.........//////////////////////////////............/////////000------......//////000000000000///......///000000,,,,,,,,,------.........////////////////////////,,,,,,.../////////......////////////////////////......////////////......000000000000000000000000////////////////////////------......///000000000////////////////////////------......//////000000111111000///////////////.../////////000000000111000000000000000000000000000000000000000000000000......///000000000000000.../////////000000000111,,,,,,,,,,,,,,,,,,,,,,,,......---,,,,,,---------***++++++++++++,,,,,,,,,------,,,++++++*********........................------------------------,,,,,,,,,+++++++++******,,,,,,,,,,,,------...///---------.........//////000///............///000........./////////000000........................+++,,,,,,---.........---,,,---......//////......------------------------,,,,,,------...///000000+++++++++,,,,,,,,,------........................---------...///000000111////////////////////////------------------------////////////////////////111111111111111111111111......................................................---------,,,,,,,,,......////////////......000///...---------------,,,,,,,,,------.........---------,,,,,,------------......//////......---,,,,,,,,,---...///111111........................)))***+++,,,------.../////////...,,,******,,,...------,,,+++,,,---...///---------------------------,,,,,,+++,,,---///000+++++++++,,,,,,---------......---,,,,,,...///000+++++++++,,,,,,---------,,,,,,,,,------.........------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------------------,,,,,,,,,------.........000000///......---,,,,,,------...//////000//////000000000000000000000000///111111000///...///000/////////......------,,,........................///////////////000111111***,,,...111222222222111111111000000/////////...////////////////////////000111111111111111000000000000111111222222222222,,,---///000000000//////...//////000111222222333000000000000////////////222000...------...000222000000000000000000000000///////////////000111111...//////000000000000000---.........//////000000111000///...............------...///000000//////000000000000000000000000---------.........//////////////////////////////---.........//////000000,,,------...///000111111111000///......///000111,,,,,,,,,------.........000000000000000000000000+++,,,.../////////......000000000000000000000000......////////////......................................................000000000///......------////////////////////////,,,------...///000111111111111000///////////////.../////////000000111111000000000000000000000000000000000000000000000000---...000111111111000///.../////////000000111111,,,,,,,,,---------......***+++,,,,,,------,,,,,,((())))))+++,,,---......+++,,,,,,------,,,,,,+++)))+++---,,,+++***+++,,,******++++++++++++************+++,,,,,,,,,,,,+++------------------------///......------......//////...------...///...---******+++,,,,,,---......------............------000///...------...///000---------............///......------------......000000///...---+++)))(((........................,,,...000111222111000///000//////.........//////000000000000000000000000...//////000000111111222//////000000000//////...111000...,,,,,,---///000000000//////...------,,,...///000111000...,,,+++,,,---///000111111000000222222111000///...---,,,000///...---------...///......//////000///////////////000000000000//////---,,,,,,+++,,,---///000.........////////////000---,,,,,,++++++,,,,,,---........................,,,,,,---.../////////...+++,,,,,,,,,,,,,,,,,,+++.........////////////000------------------------++++++++++++++++++++++++000...------//////---***,,,,,,++++++++++++,,,,,,***---//////,,,+++,,,...------,,,,,,,,,------...///...---,,,,,,,,,,,,,,,........................++++++,,,,,,,,,---------........................+++******,,,...//////...,,,---......//////......---------............///////////////////////////............////////////,,,,,,---......---,,,,,,////////////////////////111111111111111111111111111111111000000000000000111111000///////////////........................111111000000//////............////////////..................////////////111111000000000000111111000111222222222000///...000000000/////////////////////............//////000000////////////000000///////////////////////////000111222111000...,,,//////.........---------------......//////000000......---------,,,,,,,,,........................+++,,,...000000000000///000000//////.........---........................000000000000000000000000////////////////////////---...///000111111000000111111000///......------........................////////////////////////000///.........///111222......------------......///////////////.........000000000000000000000000------------------------111111000000//////......///////////////000111111000000000000000000000000000000000000000000000000,,,,,,,,,,,,------------+++,,,------......------,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,------,,,,,,+++)))+++---,,,+++***+++,,,++++++,,,,,,,,,,,,++++++++++++,,,------------------------------------------------,,,,,,---------///...------...///...---++++++,,,------...//////------............------...---,,,,,,,,,,,,---...---------............///......------------....../////////...---,,,+++***........................,,,---...///000000///...000//////.........//////............------------////////////000000000000//////000000000000//////111000///......//////000111111000//////......---...///000000///...---,,,,,,---...///000//////...000000////////////......//////...---------...///------...............---------............------...---------......///000------........./////////---,,,,,,++++++,,,,,,---------------------------////////////...---,,,+++......////////////......,,,,,,,,,------------...------------------------------------------------...---+++,,,......,,,***))))))(((((((((((())))))+++---//////,,,+++,,,...000//////............///......---,,,,,,,,,------........................***+++++++++,,,,,,,,,,,,........................///...,,,---......---+++,,,---......//////......---------............///////////////////////////............////////////////////////////////////////////////////////////////////////////////////000000000000000000000000111111000///////////////------..................111000000000/////////.........////////////....../////////000000000000111111111000000000000111111111111111111111000//////111111000000000000000000000000000000000000000000//////000000000000/////////////////////////////////000111111111///...---//////.........---------.........///////////////000/////////............////////////////////////------...///000000000000000/////////....................................000000000000000000000000////////////////////////------------...............------,,,++++++******........................////////////////////////000//////...///000111222///......------......////////////////////////...000000000000000000000000........................000000000000///////////////////////////000111111000000000000000000000000000000000000000000000000++++++++++++,,,,,,,,,,,,,,,------...............000///......---,,,+++++++++,,,,,,------,,,,,,+++)))+++---,,,+++***+++,,,,,,,,,------------,,,,,,,,,,,,---------.........------------------------......------------......///...------...///...---,,,------....../////////------............------...---,,,,,,,,,,,,---...---------............///......------------......---............---,,,,,,////////////////////////------------............/////////......//////000//////......------,,,,,,111111111111111000000000///000000111111111000000111111222222222222222111333333333222111111000000111111111111000000000000///000000000000///........./////////000000111111000///////////////000000......////////////......,,,------......------,,,......///000000000000///,,,---------............------,,,,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,////////////...---,,,,,,,,,,,,------------,,,,,,,,,,,,,,,------------...------------------------........................,,,++++++,,,---...,,,+++,,,,,,++++++++++++,,,,,,+++---......---,,,,,,---000000///...------......------,,,,,,,,,---..............................,,,,,,,,,,,,------------........................000...------...///---,,,,,,---......//////......---------............///////////////////////////............////////////...---,,,++++++,,,---...////////////////////////////////////////////////000000000000000000000000111000000///////////////---------....../////////000000000000////////////......////////////......000000000000111111111111111111000000000000111111222111111000000000000000........................///000111111111111000///...///000111111000///...////////////////////////000000000000/////////////////////............---///////////////.........111111111111000000000000000000000000000000000000000000////////////000000////////////....................................000000000000000000000000//////////////////////////////---,,,,,,---......------,,,,,,+++*********........................///////////////////////////////////////000111111///......------......///......//////////////////000000000000000000000000////////////////////////////////////000000000000///////////////000111111000000000000000000000000000000000000000000000000******+++++++++,,,,,,,,,+++,,,------......------//////...---,,,++++++***+++,,,,,,------,,,,,,+++)))+++---,,,+++***++++++,,,,,,------------,,,,,,,,,,,,,,,,,,,,,------...------------------------//////............/////////---------...///...---,,,---------.........///------............------/////////....../////////---------............///......------------......,,,------...............000000000000000000000000///......------...////////////////////////000111111111111000000//////...333333333333222222222222111111222333333333222222333444666888888888777666888888777777666555555555777666666555555666777777666666555555444222111111222222222222333333333333222222111111111222222222000111111111111000000////////////000000/////////---...000000111000///...,,,,,,,,,---------......------,,,,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,++++++---...////////////++++++,,,,,,,,,,,,++++++.........////////////000------------------------........................+++++++++,,,---...------......------------......,,,---......------------......---,,,++++++++++++,,,,,,,,,,,,,,,---...///........................---............/////////........................,,,,,,+++---///111000000,,,---......///.........---------............///////////////////////////............////////////---,,,***))))))***,,,---////////////////////////111111111111111111111111/////////000000000000000000000////////////000000------......//////000000000000000000////////////......////////////......//////000000000111111111111111000000000000111111222111000//////000111222......///////////////000---...000222222000...------///000222222000///---////////////////////////111000////////////000000/////////...............000000//////......------111111111111111111111111000000000000000000000000222111///......///000111///////////////.................................////////////////////////////////////////////////333222///...---...///000/////////......---------........................///////////////////////////////////////000000111//////............//////............////////////////////////////////////////////////////////////......//////000000111111///////////////000000111////////////////////////////////////////////////******+++++++++,,,,,,,,,******+++,,,,,,,,,,,,+++,,,,,,,,,++++++++++++++++++,,,,,,------,,,,,,+++)))+++---,,,+++***++++++++++++,,,,,,,,,,,,+++++++++++++++***+++,,,------------------------------...------,,,,,,------...///---------...///...---,,,,,,,,,,,,,,,---------------............------...//////////////////...---------............///......------------......+++,,,---...////////////000000000000000000000000000000///......//////000///////////////000111111222222222111111000000000222222333333333333444444555555666777777777777777999:::===???@@@???>>>===??????>>>======<<<<<<;;;>>>>>>>>>>>>>>>???@@@AAA@@@???>>><<<;;;:::999999999999888888888777777777333333333333222222111111111111111111111000/////////000000111111000000///---...///000000///---,,,,,,,,,,,,---------.........------,,,,,,------...,,,,,,,,,,,,,,,,,,,,,,,,***+++,,,...///000000000......////////////...............////////////000------------------------------------------------+++,,,---............///++++++************++++++---,,,------......---,,,------,,,+++++++++++++++,,,,,,,,,,,,,,,---...///........................------------....................................,,,++++++,,,///000000///,,,---......///.........---------............///////////////////////////............////////////111///...,,,,,,...///111////////////////////////000000000000000000000000......//////000000000000000000////////////000000........./////////000000////////////000000000000......////////////.............../////////000000111111000000000000111111222111000//////000111222111111111222222333333333,,,---///000000///---,,,---///000222222000///---////////////////////////000000////////////000111////////////////////////000000//////......------000000000000000000000000////////////////////////111000///......///000000.........///////////////////////////////////////////////////////////////////////////////////////333222///...---...///000000000000000////////////////////////////////////////////////////////////...//////000000000000000/////////....../////////---.........//////000000////////////////////////..............................//////000000111111///////////////000000111////////////////////////////////////////////////++++++++++++,,,,,,,,,,,,))))))***+++++++++++++++*********++++++,,,,,,,,,+++,,,,,,------,,,,,,+++)))+++---,,,+++***+++,,,++++++,,,,,,,,,,,,++++++,,,+++***)))***+++,,,---------------------------++++++************++++++///...------...///...---,,,,,,,,,,,,,,,,,,,,,,,,------............------,,,,,,---......---,,,,,,---------............///......------------......,,,,,,---//////000000000////////////////////////000000000000000/////////////////////000111222222000000000000000111111111111111222444555666777888<<<<<<===>>>????????????@@@BBBDDDGGGHHHHHHGGGFFFGGGGGGFFFFFFEEEDDDDDDDDDFFFFFFGGGHHHIIIIIIJJJJJJIIIHHHGGGEEECCCCCCBBBBBBAAA@@@@@@@@@??????>>>>>>666666666555444333222111000000111000000///...---...//////000000//////........./////////...------,,,---------..................------------......,,,,,,,,,,,,,,,,,,,,,,,,---...............------------............------,,,,,,,,,------------...------------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,---//////...---...///------,,,,,,,,,,,,---------,,,,,,---......---+++......------------......------,,,,,,,,,---..............................***++++++++++++,,,,,,,,,........................///---,,,,,,---...,,,+++,,,---......//////......---------............///////////////////////////............//////////////////...------...//////////////////////////////........................---......//////000000111///////////////000000111////////////////////////////////////000000000000......////////////..................////////////111111000000000000111111000000000000000111111222---......//////000000000,,,---............---,,,...///000111111000///...////////////////////////////////////000000000000...////////////000000000///////////////.........///////////////000000000//////////////////////////////............//////.........///////////////////////////////////////000000000000000000000000//////////////////////////////---,,,,,,---..............................////////////////////////////////////////////////......///000000000000000000//////......//////000------......///000000000000000000000000000000000........................////////////000000000000///////////////000111111000000000000000000000000000000000000000000000000,,,,,,,,,,,,------------******+++,,,,,,,,,,,,++++++++++++,,,,,,,,,------+++,,,,,,------,,,,,,+++)))+++---,,,+++***+++,,,,,,,,,------------,,,,,,---,,,+++******,,,---...------------------------,,,++++++******++++++,,,///...------...///...---------------------------------............------,,,,,,---......---,,,,,,---------............///......------------......,,,---...//////000//////........................//////000000000///------////////////000111222333000111111222222333333444444555777999<<<>>>@@@AAADDDEEEFFFGGGHHHHHHHHHHHHHHHIIIKKKMMMNNNOOOOOOOOONNNNNNNNNMMMLLLLLLKKKKKKKKKLLLNNNPPPQQQQQQQQQQQQQQQOOONNNLLLJJJJJJJJJJJJFFFFFFFFFFFFGGGGGGGGGGGG=========<<<;;;888666555333333333333222111000///000000111111111111000000111000//////......//////------........./////////......------------......------------------------------...............---***++++++,,,,,,++++++***,,,,,,,,,------------...------------------------,,,,,,,,,,,,,,,,,,,,,,,,+++...//////---+++,,,---000000////////////000000...,,,+++,,,//////---+++,,,,,,,,,,,,---...//////......---,,,,,,,,,------........................,,,,,,,,,,,,------------...........................,,,++++++,,,,,,+++***,,,---......//////......---------............///////////////////////////............////////////------------------------////////////////////////........................------......///000000111///////////////000111111111111000000///............/////////000000000111......////////////.........////////////000000000111111000000000000111111//////000111111111111111++++++,,,,,,---.................................//////000000000000//////////////////////////////---...///111111111000///.../////////000000000000.........///////////////////////////000000000111000000000000000000000000+++,,,---......///................../////////000////////////////////////000000000000000000000000////////////////////////------------....................................////////////////////////////////////////////////---...///000111000000///000000////////////000000------......///000000111000000000000000000000000////////////////////////000000000000///////////////////////////000111111000000000000000000000000000000000000000000000000,,,,,,------------......++++++,,,------------,,,------------------------+++,,,,,,------,,,,,,+++)))+++---,,,+++***+++,,,---..................---...---,,,++++++---...000------------------------///......------......//////...------...///...---.....................------..................------...///000000///...------------.........//////.........------.........------...//////000//////........................---...///000000...,,,***////////////000111222333222333444444666666777888888:::<<<@@@CCCFFFIIIJJJJJJKKKLLLMMMNNNNNNNNNNNNLLLMMMOOOQQQRRRSSSTTTUUUSSSRRRRRRQQQQQQPPPOOOOOOMMMOOORRRTTTUUUUUUUUUTTTTTTSSSQQQOOONNNNNNNNNOOOHHHIIIIIIJJJLLLMMMMMMNNNFFFFFFEEEDDDBBB???<<<;;;777777777777666555444333333333444444444444333333333222000/////////000111.........////////////000......------------..............................)))***,,,...///000111111---......//////......---........./////////000000------------------------------------------------+++---///...+++)))***,,,------,,,,,,,,,,,,------...,,,+++,,,//////---***)))))))))***+++,,,---...///...------,,,,,,,,,,,,........................////////////000000000111........................))))))(((***,,,...------,,,---......//////......---------.........//////////////////////////////............/////////000000000111222222111000000////////////////////////000000000000000000000000---------...///000000111///////////////000111111222222111000///...------.../////////000000111111......////////////......000000000000111111111111111111000000000000111111...///000222222222111000000000000111222333333444000///............///000000000////////////000000////////////////////////,,,...000111222111000///.../////////000000111111---.........//////000000//////000000111111111222111111111111111111111111)))***,,,...//////......---.........//////000000000000000000000000000000000000000000000000000000////////////////////////---...///000111111000000......//////////////////000000000000000000000000////////////////////////---...000111111111000///000000////////////000000---------...///000000111000000000000000000000000000000000000000000000000111111000000//////......///////////////000111111000000000000000000000000000000000000000000000000,,,,,,,,,---------......///...------++++++***)))))))))***+++++++++******,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------.........///...---,,,,,,...000111---.........---,,,,,,+++,,,---......///.........------------------------///---,,,,,,...//////...++++++,,,------......///++++++++++++++++++++++++000////////////000111111///......------......///111111000///...---,,,,,,---------..................///000000///...///000222222222000......000222000111222222111111333555444555555444444555888;;;AAAAAABBBEEEHHHLLLPPPSSSNNNNNNOOOOOOOOOOOOOOOOOOKKKLLLMMMOOOPPPRRRTTTUUUTTTUUUVVVUUUSSSQQQQQQRRRPPPNNNLLLLLLNNNOOOPPPOOORRRQQQPPPOOOOOOOOOOOOOOOPPPNNNLLLKKKLLLLLLLLLLLLKKKHHHEEEDDDDDDDDDBBBAAABBB???<<<999777777777888888777777666666666666666666555333222111222222333444222////////////...---.........---------------000.........///000///...---...//////000/////////------------,,,+++******+++++++++,,,---...///000......//////......---,,,)))***,,,...//////...---------------------------,,,------......------,,,---,,,+++++++++---///111,,,,,,,,,,,,,,,,,,,,,,,,,,,------......------,,,++++++,,,---............,,,,,,,,,---///000222333111///---...111222000...***+++---///000000///..................---------......------------..................//////////////////......---------,,,...------------...//////111///...///000111000...111111000000//////......000000000000000000000000333222111/////////000000000//////.........//////000000000000000///......000000000000000000000000000111111000///......///000000000000000000000000222111111111000000//////222111000//////000111222......///000000000000000000///...------...000111111000......000000000///000000000000000000000000000000000000000000000000......///000000000000000000000111111111111000000000000//////......------////////////000000000000000000////////////000000000000////////////000000000000000///......------000000000000111111111111111111000000//////............//////000000111111////////////////////////000000000000000000000000000000000000000000000000////////////////////////000000000000000111111222222111111111000000//////......//////000000111111000000000000111111111111222222222111111111111000////////////000000000000///000000111111111111000,,,,,,,,,,,,------------...------,,,,,,+++++++++,,,------...------,,,,,,........................,,,,,,------------------***))))))((()))***+++,,,,,,---------,,,,,,+++***---...//////000000//////------------------------///---,,,,,,...//////...------------------------------------------------....../////////000000000......------------......000000000///......------------............//////---///000///...---...//////000000000//////111333333444666666555555777999<<<>>>????????????@@@BBBDDDFFFIIILLLPPPTTTWWWXXXZZZZZZYYYXXXVVVSSSQQQPPPPPPPPPQQQSSSVVVWWWWWWVVVZZZ\\\]]]]]]\\\[[[[[[[[[UUUQQQMMMKKKKKKMMMOOOOOOOOOQQQSSSTTTTTTSSSQQQOOORRRQQQNNNMMMLLLLLLKKKJJJHHHGGGFFFEEEFFFFFFFFFEEEEEEDDDBBB@@@>>><<<:::999:::::::::999999::::::;;;:::999777555333222111111111000...///111222111000000//////...............///...---...///000///---,,,---...///000111111111******+++,,,------------.........---------,,,,,,......//////......---,,,***+++---...///...---,,,------------------------,,,------......------,,,///...,,,++++++,,,---...,,,,,,,,,,,,,,,,,,,,,,,,,,,------......------,,,,,,,,,---.........------***++++++,,,---...//////000...,,,---///000///---+++,,,---...////////////------...........................------.....................////////////222111111111000000000000...------------...//////000///...///000111000...111000000000/////////...000000000000000000000000222111000/////////000111111000000/////////000000000000000000000///......000000000000000000000000000111111000///......000000000000000000000000000111111111000000000//////......---,,,,,,---............///000000000000000222111///---------...///111000......000000000///000000000000000000000000000000000000000000000000......///000000000000000///000000111111000000//////////////////.........////////////000000000000000000////////////000000000000////////////000000......///////////////////////////000000000111111111000000000/////////....../////////000000000111////////////////////////000000000000000000000000000000000000000000000000////////////////////////000000000000000111111222111111111111000000000////////////000000000000000000000000000111111111111111111111000000000//////////////////000000000111333333222111000///...---++++++++++++,,,,,,,,,,,,---,,,,,,,,,,,,,,,,,,,,,+++++++++++++++***)))(((........................------------------,,,,,,,,,,,,---------.........,,,,,,,,,,,,++++++++++++...//////000000000000000........................///---,,,,,,...//////...//////...------,,,++++++////////////////////////,,,---...///000///.........------,,,,,,------...////////////////////////---........./////////000...///000000///...///000...000222222222333555666777999<<<===>>>???AAABBBBBBDDDFFFFFFEEECCCCCCDDDIIILLLRRRXXX^^^bbbeeefffjjjiiihhhfffbbb]]]XXXVVVYYYYYYZZZ^^^bbbcccaaa^^^bbbeeeggghhhgggfffffffff^^^YYYSSSPPPPPPRRRUUUVVVVVVYYY^^^aaaaaa^^^YYYVVVWWWVVVTTTPPPMMMJJJHHHGGGGGGHHHIIIIIIHHHGGGHHHIIIHHHHHHHHHGGGEEEBBB???===>>>>>>>>>???????????????>>>===<<<:::777444222000/////////000333555555444222111000.........///000///...------//////...---+++,,,...///111111222222***+++,,,------......---------...///...---,,,+++......//////......---,,,+++,,,---.........---,,,------------------------,,,------......------,,,000///---,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------............------------.........------,,,***+++---.........---,,,...---,,,---......---,,,---------------...///000,,,---------.../////////..................................../////////////////////.....................------......///000000///......000000///...000000000000////////////////////////////////////000000/////////000111111111111000000000000111111000000000000000//////...000000000000000000000000///000111000///...///000000000000000000000000000111111000000000000//////,,,,,,++++++++++++,,,,,,......///000000000000000333222000...---------...111000......000000000///000000000000000000000000000000000000000000000000......///000000000000000...//////000000//////......///////////////000000////////////000000000000000000////////////000000000000////////////000000------...//////000111111....../////////000000000000000000000////////////////////////000000000000////////////////////////000000000000000000000000////////////////////////////////////////////////000000000000000111111222111111111111000000000000000000000000000000//////000000000000111111111111000000000000/////////.../////////000000000111111333222222111000///......******+++++++++,,,,,,,,,,,,,,,,,,,,,------......+++++++++***)))((('''&&&,,,,,,,,,,,,,,,,,,,,,,,,.........------,,,,,,,,,///000111222222222222111---,,,,,,,,,,,,,,,,,,,,,......///000000000000//////////////////////////////---,,,,,,...//////.........---------,,,,,,,,,////////////////////////+++,,,...000000///---,,,------,,,,,,,,,,,,------......//////000000000000.........//////000000111///111222222111111222333111333666777777888999;;;===AAAEEEIIIKKKMMMOOOQQQMMMMMMMMMJJJHHHFFFGGGHHHNNNRRRZZZccckkkppprrrssssssssssssqqqmmmhhhccc```ddddddggglllrrrsssooojjjjjjlllnnnnnnlllkkkkkkkkkfffbbb___]]]___bbbdddeeefffiiimmmooonnnjjjeeebbb___^^^[[[WWWPPPKKKGGGEEEHHHJJJLLLKKKIIIHHHIIIKKKKKKJJJJJJIIIGGGEEEDDDCCCDDDDDDDDDDDDCCCBBBAAAAAA@@@@@@@@@>>>;;;888555333111111111333666777777666222111///...---.../////////...------//////...---,,,---...///////////////............---,,,+++***)))***---///000000///............///......---,,,,,,---.........---,,,+++------------------------,,,------......------,,,///...---,,,,,,,,,,,,---------------------------------............------......///......---,,,,,,---...000111111///...,,,...---------......------...------,,,,,,...///000,,,,,,,,,---...///000000---..................---............////////////------------------------...............//////000000///......///000///...000000000000////////////////////////////////////////////////000000111111000000//////000000111111//////000000000000/////////////////////////////////000111000///...///000////////////////////////000000000000000000//////..............................///000000000000000222111000///......//////111000......000000000///////////////////////////////////////////////////......///000000000000000......////////////............//////000000000111////////////000000000000000000////////////000000000000////////////000000......//////000000000000............////////////000000000000////////////////////////000000000000////////////////////////////////////////////////////////////////////////////////////////////////000000000000000111111222111111111000000000000000222111111000000////////////000000000111111111111111111000000000///////////////000000000111111111/////////000000111222222******+++++++++,,,,,,,,,+++,,,,,,------....../////////......---,,,+++***,,,,,,,,,,,,,,,,,,,,,,,,.........------,,,,,,,,,------...////////////.........------------...///,,,---......//////......///////////////////////////---,,,,,,...//////...,,,,,,,,,---------..............................+++,,,...000000///---,,,...------,,,,,,------.........//////000111111111......//////000111222222...000222222222333555666666888:::;;;;;;<<<>>>@@@GGGLLLRRRWWW[[[]]]___aaabbb___[[[UUUQQQPPPSSSUUUWWW[[[bbbiiinnnrrrtttuuusssssstttsssqqqnnnllljjjkkkmmmqqqwww||||||yyyuuupppqqqqqqpppmmmkkkkkkllljjjjjjjjjlllooorrrrrrrrrttttttuuutttrrrnnnjjjgggeeefffddd___VVVOOOJJJHHHFFFHHHJJJLLLMMMMMMOOOPPPOOOMMMKKKIIIHHHHHHHHHIIIJJJJJJIIIHHHFFFDDDBBBAAAAAABBBBBBAAA???<<<:::888666555666777999999888666222111000...............000///......000000///...............---,,,++++++............---,,,++++++)))+++---000111000///............///......---,,,------------------,,,,,,------------------------,,,------......------,,,,,,,,,,,,,,,------......---------------------------......//////......---////////////...---,,,,,,---...000111111///---,,,......///............//////...---,,,,,,---///000,,,,,,,,,---...///000000------...//////...------............////////////000000000000000000000000///............///000000///...---...///000///---////////////000000000000////////////////////////......//////000000000000...............///000111//////000000000000//////////////////////////////...000111000///...///111........................//////////////////000000//////000000000000//////......///000000000000000////////////000000111111111000......000000000///////////////////////////////////////////////////......///000000000000000......////////////........./////////000000111111////////////000000000000000000////////////000000000000////////////000000111111000000////////////............////////////////////////000000000000000000000000////////////////////////////////////////////////////////////////////////////////////000000000000000000000000000000000000000111111222000000000000000000111111222222111111000000/////////000000000111111111111222222111111111000000000000000000000111111111111////////////000111222333++++++++++++,,,,,,,,,,,,,,,,,,------.........///............---,,,++++++........................------------------,,,,,,,,,------------.........///...---------...000111,,,------.......................................///---,,,,,,...//////...++++++,,,,,,---...//////........................,,,---...///000///...............------........./////////000000111111111......///000111222333333...000333555555777:::<<<;;;===>>>???@@@CCCFFFIIIVVV[[[bbbgggjjjlllmmmnnnpppmmmfff___ZZZ[[[___cccfffgggiiikkkmmmooopppqqqrrrrrrrrrrrrqqqqqqpppppppppsssxxx|||~~~~~~|||{{{wwwwwwuuurrrooonnnoooppppppqqqrrruuuxxxzzzyyyxxxwwwvvvuuurrrnnnjjjgggeeehhhjjjkkkggg___WWWSSSRRRJJJKKKMMMRRRXXX[[[[[[ZZZWWWTTTQQQMMMLLLLLLMMMNNNMMMMMMMMMLLLJJJGGGEEECCCCCCCCCCCCBBBAAA???>>>===;;;::::::;;;===<<<:::888555444444333222111000000111000//////111111000///000000///...---,,,***)))+++,,,---......//////.........///000///...---,,,......//////......---,,,------------------------------------------------,,,------......------,,,++++++,,,------......///------------------------......////////////............/////////...------,,,---.........---,,,+++---///000///...---...///......---------......///,,,---------.../////////,,,---...//////...---,,,............////////////......////////////000000//////......//////000111///...------//////...---////////////000000000000////////////////////////......///000000000//////...------......///000111...//////000000000000000000000000000000000000000...///000000//////000111..............................////////////000000......///000000///............///000000000000000---...///000111222222222111000......000000000///000000000000000000000000000000000000000000000000......///000000000000000...//////000000//////...///000000000000000000111////////////000000000000000000////////////000000000000////////////000000222222111000000///............/////////000000000////////////000000000000000000000000////////////////////////////////////000000000000000000000000////////////////////////000000000000000000000000000000000000000111111222000000000000111111111111111111111111111111000000000000000000111111111111222222222222111111111111000000000111111111222222333222000/////////000111,,,,,,,,,,,,---------------------...............,,,,,,,,,------,,,++++++........................,,,,,,------------------//////.........///000111///...,,,,,,,,,...///111------...///////////////------------------------///---,,,,,,...//////...,,,---------------------............................../////////000000000000//////......//////000000000000000000000111111...//////000222333333444333666999;;;===@@@CCCEEECCCDDDEEEGGGJJJOOOUUUZZZfffkkkqqquuuwwwvvvvvvuuuuuurrrmmmhhhdddeeeiiimmmsssrrrpppooopppqqqtttuuuwwwwwwuuutttsssttttttuuuwww|||||||||}}}~~~}}}zzzwwwttttttwwwzzz|||zzzyyyyyyzzz{{{zzzyyyvvvvvvuuurrroookkkgggeeegggkkknnnmmmgggaaa______^^^\\\\\\bbbjjjnnnkkkgggbbb```]]]YYYUUUSSSQQQPPPMMMNNNOOOOOONNNLLLJJJHHHFFFEEEDDDBBBAAA@@@??????=========???@@@???===;;;999:::::::::999777555444222111000111222333222000111111000000///...,,,,,,+++,,,---...////////////////////////..................//////......---,,,,,,,,,,,,,,,------...///------------------------,,,------......------,,,,,,,,,------------------..............................////////////......---......////////////...,,,,,,------------------,,,...///...,,,+++---///---...............------------..................,,,---///000000///---,,,............////////////,,,,,,,,,---------......///////////////000000111///...------//////...---.../////////000000000111000000000000000000000000...///000000000///...---............///000111222......///000000000000000000000000000000000000000---///000000//////000222000000000000000000000000........./////////000000......///000000///............///000000000000000...///000000111111111111111000......000000000///000000000000000000000000000000000000000000000000......///000000000000000///000000111111000000///111111111000000000000000////////////000000000000000000////////////000000000000////////////000000111111000000000000000000/////////000000000111111.../////////000000000111111000000000/////////...////////////////////////000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111222///000000000111111111111111111111111111111222222000000000000111111111111111111111111000000000000000000111111111222222222333222000///...///111111,,,,,,------------..............................//////000000111000000000,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------.........///...,,,+++,,,---///111...---+++++++++---///000...//////000000000000000------------------------///---,,,,,,...//////...///......------,,,,,,+++////////////////////////000////////////000111111000000////////////000000111111000000000000000000...///000111222333444444999<<<@@@CCCEEEHHHLLLOOOJJJKKKLLLNNNSSSZZZbbbhhhqqquuu{{{~~~~~~{{{yyyxxxwwwvvvtttqqqnnnooosssuuuzzzxxxuuutttuuuxxx}}}~~~{{{yyywwwwwwxxxyyy}}}{{{|||{{{yyy{{{~~~{{{zzzzzzyyyyyywwwwwwxxxwwwtttoookkkhhhdddjjjpppppplllhhhgggiiitttpppmmmrrrzzz|||vvvpppjjjiiigggccc^^^XXXSSSQQQMMMNNNPPPQQQQQQPPPNNNMMMIIIGGGEEEBBB@@@?????????======>>>@@@BBBBBB@@@======>>>@@@@@@???<<<999777333222111222333333222111111111111111111000000///////////////...---,,,+++------------...000111222......//////......---,,,+++++++++,,,---...///000------------------------,,,------......------,,,............---,,,++++++..............................////////////......------...///000000000//////............///000111***,,,...---+++***,,,...------/////////...---,,,...............---------,,,---///000000///---,,,............/////////000////////////000000111111///////////////000111111///...------...///...---.../////////000000111111111111111111111111111111//////000000000...---,,,////////////000111222333......///000000000000000000000000000000000000000---///000000//////000222111111111111111111111111---.........//////000000///000111222222111000///...//////000000000000000000000111111111000000///111000......000000000///000000000000000000000000000000000000000000000000...//////000000000000000000000111111111111000000222222111111000000//////////////////000000000000000000////////////000000000000////////////000000/////////000111111222222000000000000111111111111.../////////000000111111111111000000/////////...////////////////////////000000000000000000000000111111111111111111111111000000000000000000000000000000000000000111111222//////000000111111111222000000000111222222222333000000000000111111111111000000000000////////////000111111111111222222222//////......///111444555,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------///000111222222111000...------,,,,,,---------...............+++,,,,,,---.........---000///...------...///000++++++++++++++++++++++++,,,---...///000000000000...------------...//////........................////////////////////////000000//////......------------------------------,,,...000000//////000111.........///111333444555555444333444777;;;???BBBEEEHHHNNNSSSXXX[[[\\\\\\[[[YYYWWWYYY```hhhpppttt|||{{{zzzzzzzzz{{{|||}}}{{{yyyvvvssspppqqquuuxxx~~~~~~|||yyyvvvsssssswww{{{}}}||||||zzz|||}}}|||||||||xxxyyyzzzyyyvvvsssrrrqqqgggiiikkkllllllkkkmmmnnnwwwvvvxxx|||{{{wwwnnnnnnmmmlllhhh```WWWPPPNNNNNNNNNPPPRRRSSSRRRPPPJJJKKKMMMLLLJJJHHHFFFFFFDDDCCCAAA??????BBBGGGJJJHHHHHHHHHHHHGGGEEECCCBBB:::888666555444333111///000//////......------,,,000000/////////.........,,,---...//////...---,,,.........///////////////+++,,,,,,---,,,,,,++++++------..................---,,,,,,,,,,,,---......////////////////////////------------------,,,,,,......//////...---,,,,,,......////////////......////////////////////////000///...---------------,,,,,,,,,------.................................///...---,,,+++,,,,,,---........................------------------------///......---------......000000000000000000000000------......//////000000222,,,'''(((...222222///000000000000000000000000000000000000000000000000...............///000000////////////////////////////////////000000000000000000000000000000000000000000000000000000000000......//////000000000111......///000111222222333......///000111222333333000000000000000000000111000000000000000000000000000000000000111111111111......///000000000000000000000111111111111000000000000000000000000000000............/////////000////////////////////////000000////////////000000000000000000000000000000000000000000000000000000000000000000000000000000111111111000000000000000000000000000000000000000000111111111222222222222000000000000000000000000000000000000000000000000000111111111222222222222222222222222222222222222222111111111000000//////000000000000000000000000000000000000000000000000000000000000000000000000222111000///000111333555,,,,,,,,,,,,,,,,,,,,,,,,------------///000111222222222000///...---------,,,,,,------.../////////,,,---....../////////...///...---,,,,,,---...///+++++++++++++++++++++++++++,,,---...////////////...------------...//////................................................///////////////.................................---///000000///...///000222111111222333444666777666666777888;;;AAAHHHLLLXXX\\\bbbhhhmmmoooppppppfffcccaaacccjjjrrrxxx{{{||||||}}}~~~yyyxxxvvvsssrrrssswww{{{{{{xxxtttssstttyyy~~~~~~~~~~~~~~~{{{|||~~~|||yyyvvvuuutttllllllkkkkkkmmmooorrrsss~~~}}}}}}}}}}}}zzzvvvsssnnnoooooopppnnnjjjccc]]]TTTSSSRRRSSSVVVXXXXXXXXXTTTSSSRRRNNNJJJGGGFFFFFFEEEEEEDDDCCCCCCCCCEEEGGGHHHIIIJJJJJJJJJIIIHHHGGGBBB???===;;;999666222000000000////////////....../////////...............------............------///////////////.........,,,---...............---........................---------------......///........................------------------------......//////...------,,,......////////////..............................//////...------------......------------------,,,........................///...---,,,,,,,,,------........................------------------------///......---------......------------------------.........///////////////111---***+++///222111000000000000000000000000000000000000000000000000000///............///000000000000000000000000000000////////////000000000000000000000000000000000000000000000000000000000000/////////000000111111111//////000000111111222222000000000000111111111111111111000000000000000000000000000000000000000000............////////////......///000000000000000000000111111111111000000000000000000000000000000........./////////000000000000000000000000000000000000////////////000000000000000000000000000000000000000000000000000000000000000000000000000000111000000000000000000000000000000000000000000000000000000111111111222222000000000000000000000000000000000000000000000000000000000111111111222222111111111111111111111111111111111111000000000///111111111111111111111111111111111111111111111111000000000000000000000000222222000///000111222444,,,,,,,,,,,,,,,,,,,,,,,,------------...000111222333222111///............++++++,,,---...//////000---...//////000/////////------,,,,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,***+++,,,---...............------------...//////........................------------------------...///////////////000000/////////000000000000000000111222222000///000111111111111111222333555666777:::===@@@DDDLLLVVV]]]jjjnnntttzzz~~~~~~}}}tttooojjjlllrrryyy{{{{{{uuuwwwyyy|||}}}}}}}}}|||{{{{{{yyywwwvvvxxx|||zzzxxxyyy~~~~~~~~~~~~~~~||||||wwwsssoooppptttxxx{{{{{{~~~zzzuuusssrrrppppppqqqssssssppplllhhhaaa^^^\\\\\\___cccfffgggfffccc^^^XXXRRRNNNLLLKKKHHHHHHHHHHHHGGGFFFFFFEEEHHHIIIKKKLLLMMMNNNMMMMMMIIIGGGDDDBBB???;;;666222111111111000000000000000------...........................------.........000000//////......---------...///000000000000000..............................------......///000........................+++,,,,,,------..................///......---,,,......////////////......------------------------...------------...////////////......---,,,,,,,,,........................///...------,,,---------......................................................---------......///,,,,,,,,,,,,,,,,,,,,,,,,000000///////////////............///000000111111000000000000000000000000000000000000000000000000//////......//////000111111111111111111111111111////////////000000000000000000000000000000000000000000000000000000000000000000000111111111111111000000000000000111111111222111111111000000//////111111111000000/////////000000000000000000000000............////////////......///000000000000000000000111111111111000000000000000000000000000000....../////////000000000111111111111111111111111111000000//////000000111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111000000000000000000000000/////////000000000111111000000000000000000000000000000000000000000000000/////////000000000111111000000000000000000000000111111111111000000000000222222222222222222222222222222222222222222222222000000000000000000000000333222111000000000111222,,,,,,,,,,,,,,,,,,,,,,,,---------......///111111222222111000///.........,,,---------------......---....../////////......------------------------,,,,,,,,,,,,,,,,,,,,,,,,+++,,,---..................------------...//////......................................................//////000000000111/////////000000000000000222333444333222111333444111222333444666888:::;;;===AAAFFFKKKPPPYYYeeennnvvvzzzyyysssmmmmmmrrrvvvuuusssqqqrrrtttvvvyyy{{{}}}~~~}}}{{{|||~~~~~~{{{{{{}}}{{{|||yyyuuuuuuwwwxxxxxxxxxyyyyyywwwtttqqqqqqnnnjjjiiimmmrrrvvvyyywwwsssnnniiiddd^^^ZZZWWWLLLKKKIIIIIIIIIIIIIIIHHHHHHIIIKKKMMMNNNNNNNNNMMMIIIGGGEEEDDDBBB???:::777444333333222111000///...------------............///...---,,,,,,---...///111111000///...------,,,---...///000000000000000...............---------///............///000000........................++++++,,,,,,---...//////---...............---------......//////......---------------------------,,,,,,,,,------///000000............------------.................................------------...........................////////////////////////...------------...//////////////////////////////111000000000//////......,,,///222222111///000222000000000000000000000000000000000000000000000000/////////...///000000111000000000000000000000000////////////000000000000////////////////////////////////////////////////111111111111111111222222111111111000000000000000111111111111000000000000111111111000//////......000000000000000000000000000000000000111111111111......///000000000000000000000111111111111000000000000000000000000000000...////////////000000000111111111111111111111111111000000000000000000111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111000000000000000000000000////////////000000000000000000000000000000000000000000000000000000000000////////////000000000000111111111111111111111111111111111000000000000000222222222222222222222222222222222222222222222222000000000000000000000000444333222111000000000111,,,,,,,,,,,,,,,,,,,,,,,,......---......///000111222111000///.........///.........---,,,,,,++++++------.........------,,,.........//////.........,,,,,,,,,,,,,,,,,,,,,,,,---......////////////......------------...//////////////////////////////////////////////////////.../////////000000111111....../////////000000000111222333222222222555777666888;;;???CCCEEEGGGHHHGGGKKKQQQVVV]]]fffqqqxxx}}}sssnnnkkkkkkpppssssssqqqvvvuuutttuuuyyy~~~}}}}}}{{{yyyyyy}}}{{{xxxyyy|||~~~~~~}}}{{{|||yyyuuutttxxx}}}~~~|||zzzwwwtttnnngggbbbOOOLLLGGGFFFGGGIIIJJJJJJIIIJJJKKKLLLLLLLLLKKKJJJDDDCCCBBBBBBCCCAAA???<<<888777666444222000...---........................///...---,,,,,,---...///111111000///...------,,,,,,---.../////////////////////.........---------///............///000000........................++++++,,,,,,---...//////------...............---------............------------------------------,,,,,,,,,---...///000111,,,,,,------...///000000........................---.....................////////////////////////////////////////////////---------------...//////000000000000000000000000111111000000/////////...,,,000444444111///000222000000000000000000000000000000000000000000000000///////////////000111111////////////////////////////////////000000000000////////////////////////////////////////////////222222111111111111111111111111111000000000000000000000000000111111111111000000000000//////......000000000000000000000000000000000000111111111111......///000000000000000000000111111111111000000000000000000000000000000////////////000000000111000000000000000000000000111111000000000000111111000000000000000000000000111111111111111111111111111111111111111111111111//////000000111111111111111111111111111111111111////////////000000000000111111111111111111111111000000000000000000000000////////////000000000000222222222222222222222222000000000000000000111111222222222222222222222222222222222222222222222222000000000000000000000000333333222111111000000000,,,,,,,,,,,,,,,,,,,,,,,,...............///000000000000///.....................------,,,+++++++++------------------,,,+++......///000000///......,,,,,,,,,,,,,,,,,,,,,,,,......///////////////......------------...//////////////////////////////000000000000000000000000///000000000000000000111......//////000000111111///000111222222444888;;;;;;???FFFLLLQQQSSSSSSSSSTTTVVV[[[bbbjjjrrrxxx{{{|||}}}~~~~~~}}}zzzwwwuuukkkkkkkkknnnrrrvvvxxxyyyyyywwwvvvwww|||~~~zzzzzz}}}}}}|||{{{|||}}}||||||~~~~~~|||yyyzzz}}}~~~||||||||||||wwwoooiiiUUUOOOIIIGGGHHHKKKKKKKKKKKKLLLMMMMMMLLLKKKJJJIIIBBB@@@???@@@AAABBBAAA@@@<<<;;;999777555333111000000000/////////..................------.........000000//////......---------------......------,,,/////////...------,,,,,,......------......///000------------------------+++,,,,,,------.........,,,---......///.........------............------------------------------,,,,,,,,,---...///000111++++++,,,...///000111222........................------...////////////...////////////////////////........................---------------...///000////////////////////////111000000000000000000///---000333333111///000111000000000000000000000000000000000000000000000000000000//////000000111222........................////////////000000000000000000000000000000000000000000000000000000000000111111111111111000000000000000000000000111111111//////000000111111111222////////////////////////000000000000000000000000............////////////......///000000000000000000000111111111111000000000000000000000000000000/////////000000000111111000000000000000000000000222111111000000111111222000000000000000000000000111111111111111111111111111111111111111111111111/////////000111111222222111111111111111111111111/////////000000000111111111111111111111111111111000000000000000000000000/////////000000000111111222222222222222222222222000000000000111111111111222222222222222222222222222222222222222222222222000000000000000000000000222222222222111111111111,,,,,,,,,,,,,,,,,,,,,,,,///............///000000///......---------------++++++,,,,,,,,,---------...............---,,,,,,------...//////...---------------------------------......//////......---...------------...//////////////////////////////000000000000000000000000111111111000000000000000//////000000111222222333111222444666888;;;@@@DDDIIINNNVVV^^^ccccccaaa`````````cccjjjssszzz{{{yyyuuuttttttsssrrrpppooonnnkkknnnrrrtttvvvxxx||||||{{{{{{~~~zzz||||||{{{|||}}}~~~~~~}}}|||{{{}}}}}}zzzyyyzzz|||yyysssnnn___YYYSSSPPPQQQQQQOOOLLLNNNNNNOOOPPPOOONNNMMMLLLFFFDDDAAA???@@@@@@@@@???>>>===<<<;;;:::888777777222222111000///......---------............------///////////////.....................------,,,+++000//////...------,,,,,,---------------......///------------------------------------------------,,,------...//////......,,,------......------,,,........................---------------...///000,,,------...///000000111........................,,,---...///000000///...////////////////////////---------------------------,,,,,,------///000000////////////////////////000000000000000111111111///000111111000//////000000000000000000000000000000000000000000000000000000000//////000000111222////////////////////////////////////000000000000000000000000000000000000000000000000000000000000111111111000000///////////////000000111111222222111111111111000000000000------......///000000000000000000000000000000000............////////////......///000000000000000000000111111111111000000000000000000000000000000//////000000000111111111111111111111111111111111222111111000000111111222000000000000000000000000111111111111111111111111111111111111111111111111...//////000111111222222111111111111111111111111000000000111111111222222111111111111111111111111000000000000000000000000000000000111111111222222111111111111111111111111///000000000111111111111111111111111111111111111111111111111111111111111000000000000000000000000000111111222222222222111,,,,,,,,,,,,,,,,,,,,,,,,///............//////000......---,,,,,,,,,------((()))***+++---...///000//////000000///...------,,,,,,---......---,,,,,,---------------------------------...------,,,,,,...------------...//////000000000000000000000000////////////////////////222222111111000000//////000000111222333333444444555666999;;;>>>CCCIIIMMM[[[```jjjrrrvvvuuurrrooohhhfffhhhoooyyy~~~{{{wwwrrrqqqppppppooonnnnnnnnnpppuuuyyyzzzxxxxxx|||{{{vvvzzz}}}}}}}}}~~~zzzwwwxxxzzzzzzvvvqqqiiiddd^^^\\\[[[YYYTTTNNNOOOPPPQQQRRRRRRQQQPPPPPPLLLHHHCCC@@@?????????>>>>>>>>>>>>>>>>>>=========444333222111000///...---,,,---...//////...---,,,.........///////////////000000//////...---+++***000000///...------,,,,,,---,,,,,,,,,,,,---......------------------------------------------,,,,,,,,,,,,---.../////////...,,,------......------,,,////////////////////////...------------...//////.........///////////////........................,,,---///000000000///...000000000000000000000000------------------------,,,,,,,,,---...///000111000000000000000000000000//////000000111111222222000000//////////////////000000000000000000000000000000000000000000000000000000000000000111111222000000000000000000000000////////////000000000000000000000000000000000000000000000000000000000000111000000000//////.........//////000111222222333333333222111000///......,,,,,,---...///000111111000000000000000000000000000000000000111111111111...//////000000000000000000000111111111111000000000000000000000000000000000000000000111111111111222222222222222222222222222222111111111111222222000000000000000000000000111111111111111111111111111111111111111111111111...//////000111222222222111111111111111111111111111111111111222222222222111111111111111111111111000000000000000000000000111111111111222222222222000000000000000000000000//////000000111111111222000000000000000000000000000000000000000000000000000000000000000000000000///000111222222222222222///...------,,,,,,,,,,,,...,,,,,,...222555444333,,,,,,,,,,,,,,,,,,,,,,,,,,,---...///000///...---.........------,,,,,,,,,------............------............---,,,+++***............/////////000//////...---...///000111000000000000000000000000111111000000000000000111000111222222000000111222333222111222444555555555:::;;;===???DDDOOO]]]fffssswww~~~~~~xxxsssmmmnnnqqqvvvzzz}}}|||{{{wwwvvvsssppppppttt{{{~~~}}}~~~{{{}}}~~~~~~{{{{{{}}}~~~{{{yyyrrrpppooooooooolllfffaaa^^^]]]\\\]]]^^^\\\XXXTTTKKKIIIGGGFFFFFFEEECCCAAA@@@AAACCCEEEGGGEEEBBB???888888666444222111000//////---,,,,,,...//////...000000/////////.........,,,,,,---...///000111222......---,,,---...///000,,,------......------,,,........................,,,,,,,,,,,,,,,,,,,,,,,,////////////////////////000000//////............------------------------......------------.........000111000///...///111//////.........---------...........................---,,,,,,---...///000......------------......////////////////////////111111000000//////......000000000000000000000000111111000000000000111111000000000000000000000000...///000111111111111111///000000000000111111111111111111111111111111111000000000000000000000000000000000000000000000000////////////000000000000000000000000000000000000000000000000000000000000222000---++++++---000222000000000000000000000000000000000000000000000000000000000000000000000000000000000000////////////222222222111111111000000111111111000000000000000111111111111111222333333555222//////111222000...333222111000000000111222444333222222111111111111222111111111111111222222222333333222000000111333333444444555555555555555444333222333444444333111333111......000222333333333222222111111111111222000000111222222333222222222222222333333333333333111000000000////////////555444333333222222333333000000000111222222333333000000000000000000000000000000000000000000000000111111222222222222111111......---,,,,,,,,,,,,,,,...---,,,...222444444222//////......---------,,,)))***+++,,,,,,,,,++++++......---------,,,,,,,,,------............------...............------,,,---------............///,,,---...///000//////...000000000000000000000000111111000000000000000111///111222222111111333444222111111333666999;;;<<<>>>BBBHHHNNNVVVaaannnvvv{{{~~~|||yyyvvvuuuuuuvvvyyy{{{||||||~~~|||zzzzzz|||~~~~~~|||wwwpppjjjhhhjjjnnnrrrqqqkkk```XXXRRRNNNJJJGGGGGGGGGGGGGGGCCCBBBCCCEEEHHHJJJIIIHHH@@@>>>;;;777444222111111111///......///000000///......------------------,,,,,,---------------......------,,,---...///000,,,------......------,,,........................------------------------/////////////////////////////////.........------..............................------------.........000111000///...///000//////.........---------........................//////.........///000111......------------......////////////////////////111000000000/////////...000000000000000000000000222111111000000111111222000000000000000000000000///000000111111111111000111111222222222333333333////////////////////////000000000000000000000000000000000000000000000000////////////000000000111000000000000000000000000000000000000000000000000000//////......//////000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000///222222222111111111000000111111111111000000000000111000000000000000111111555222111222444555555333444333222111111222333333111222222333333222111111222222222222222333444444444555666555333333555777555666777777888888777777555444444555777888666555555333000000111333333333333333222222111222222333111111222222222222222222000000000111111111111111222222222222222111111111444444333222222222222222222222111111111111111111111111111111111111111111////////////////////////111111222222222222111111---,,,,,,++++++++++++,,,...------...111333222222111111000000///...------,,,,,,---............---...------------,,,,,,,,,------............------------........./////////,,,,,,---------.........***,,,...000111///---,,,000000000000000000000000000000/////////000000111///000111222111222444666555555555777:::>>>BBBDDDIIIPPPZZZccckkksss|||~~~|||zzz|||yyyvvvvvvyyy}}}|||wwwuuuwww|||}}}vvvllleee\\\VVVNNNIIIGGGHHHJJJKKKIIIGGGFFFGGGIIILLLMMMMMMIIIFFFBBB===999666555444333111000000111222111000.................................------,,,,,,,,,...------------...//////------............------................................................////////////////////////.........---------------////////////////////////......------------.........///000000......///000...............---------........................111000000/////////000000......------------......////////////////////////000000000000////////////000000000000000000000000111111000000000000111111000000000000000000000000111111111111000000000000111111111222222222333333////////////////////////000000000000000000000000000000000000000000000000/////////000000000111111000000000000000000000000000000000000000000000000...///000111111000///...000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000222222222111111111111111111111111111111111111111222111111000000000111111333222222444666888888888444444333333333333444444000111333444555555444333444444444555555777888999888999::::::999:::<<<===;;;<<<======>>>>>>======::::::999;;;======<<<;;;999777444333444444444333333333222222222333333444222333333333333222222111000000000000000000000000333333333333333333444444333333222111111111111222333333222222111000000///111111111111111111111111////////////////////////111111222222222222111111,,,++++++******+++++++++---------...000111111111222222111000///...---,,,---......///////////////------------------------------............---------------...///000111111---------.........//////+++,,,...///000///---,,,000000000000000000000000000000/////////000111111///000111111111222444777:::;;;<<<===@@@DDDIIIMMMZZZbbbmmmuuuyyy{{{}}}|||yyywwwuuuuuuuuuvvvuuutttwww}}}}}}}}}~~~|||zzzxxxvvvtttrrrfff^^^SSSJJJGGGGGGJJJKKKMMMKKKIIIIIIJJJKKKJJJJJJLLLKKKHHHEEEAAA===:::888555333222111222333222111000000000111111111111222000000000000////////////------------......//////------............------................................................////////////////////////------------------------..............................------------.........///000///......///000................................................111000000//////...............------------......////////////////////////000000000000////////////////////////////////////000000////////////000000000000000000000000000000222222111000000/////////////////////000000000000111111111111111111111111000000000000000000000000000000000000000000000000//////000000000111111111000000000000000000000000000000000000000000000000///000000111111000000///000000000000000000000000////////////////////////000000000000000000000000000000000000000111111111111111111111111111111111000111111111111111222222444333333222222222222222111222333444666888888888444444444444555555555666333444444555777888999999888888999:::;;;<<<>>>???>>>@@@AAAAAAAAABBBDDDFFFEEEEEEFFFGGGGGGGGGGGGFFFDDDCCCCCCDDDEEEEEECCCBBB>>><<<999888888777666555444444333333333333444444555555666555555444333333333333333222222111111111222222222333333333333333333222111111000000111111222222222111111111000000111111111111111111111111000000000000000000000000111111222222222222111111+++++++++******++++++,,,------.........//////000111111000///...,,,+++++++++++++++++++++,,,,,,,,,------------------------------............------------------...000111222////////////000000000000...------------...//////111111111111111111111111000000000000000111222222000111222222222333777999<<>>>>>>>>???@@@BBBCCCDDDDDDFFFGGGHHHGGGIIIKKKMMMNNNOOOPPPPPPQQQPPPPPPPPPOOONNNMMMMMMNNNMMMKKKIIIDDDBBB???>>>>>>===;;;999777666666555555555555555999999999999888888777666666555555444333222222111111111111111111111222222333222111111000000111111000000111111111222222222111111111111111111111111111111111111111111111111111111222222222222111111,,,++++++++++++,,,,,,---,,,...///...------.../////////......---,,,++++++,,,,,,,,,,,,,,,---......,,,,,,,,,------------...------............------------,,,,,,---///111222//////000000000111111111//////...------///000111111111111111111111111111111111111111111222333444333444555666777;;;???CCCAAAFFFLLLQQQUUU[[[bbbggguuu{{{~~~}}}{{{xxxtttqqqooonnnoooppptttwww|||{{{vvvsssrrrtttmmmcccZZZTTTPPPMMMKKKGGGGGGGGGJJJLLLLLLJJJIIIHHHJJJMMMNNNMMMJJJFFFCCC;;;999666555555555444222222222111111111000000000---------....../////////,,,---......//////............////////////..............................------------------------////////////////////////---------------.........------------------------......------------......---...//////------...///---------...............////////////////////////---...............---,,,......------------......////////////////////////////////////000000000000000000000000000000000000......------------......000000000000000000000000222111000/////////111111000000000111111111222222////////////////////////111111111111111111111111111111111111111111111111000000000111111111222222111111111111111111111111000000000000000000000000333222111000000111222333000000000000000000000000000000000000000000000000000000000000000000000000///000000111111222222222111111111111111222222222000000111111222333333333000000000000000111222222444666:::;;;;;;;;;<<<===??????@@@AAABBBBBBBBBBBBDDDCCC@@@??????AAADDDEEECCCCCCCCCCCCDDDEEEGGGGGGIIIJJJKKKKKKKKKLLLOOOQQQTTTUUUUUUVVVVVVVVVVVVVVVWWWUUUTTTTTTUUUTTTRRRPPPLLLJJJHHHGGGFFFEEECCCAAA===<<<;;;999888888888888<<<============<<<<<<;;;999999888777555444333333333333333222222111111111333333222111111111111222///000000111222222333333222222222222222222222222222222222222222222222222111111222222222222111111,,,,,,,,,,,,,,,---......,,,...///...,,,+++---............------,,,,,,,,,//////...---...///000111,,,,,,,,,---------......------............------...---,,,+++,,,---///000////////////000000000000/////////000000000000000111111111111111111111111222222222222333444555666666777:::===@@@FFFMMMQQQTTTZZZaaafffhhhlllqqqvvv{{{~~~{{{zzzxxxuuutttttttttuuu{{{~~~{{{zzz|||~~~}}}xxxtttsssxxxtttnnnhhhccc]]]WWWSSSKKKJJJIIIIIIKKKMMMMMMLLLIIIJJJKKKLLLLLLKKKIIIHHH???<<<:::999999888777555444444333222111000///////////////...............,,,---.../////////...---......////////////......................................................////////////////////////------........./////////..............................------------......---...//////------...///---------.........//////////////////////////////------//////000///............------------......////////////////////////.../////////000000000111000000000000000000000000000//////......//////000000000000000000000000000222111///...///000222333000000000000111111111222////////////////////////111111111111111111111111111111111111111111111111000000111111111222222222111111111111111111111111000000000000000000000000111222222333333222222111000000000000000000000000000000000000000000000000000000000000000000000000///000000111111222333333000000111111111222222222000000111222222333444444111111111222333444555666999===AAADDDDDDEEEFFFHHHIIIJJJKKKMMMMMMMMMMMMMMMJJJJJJIIIIIIHHHGGGFFFFFFEEEEEEEEEEEEFFFFFFGGGHHHJJJKKKLLLLLLLLLLLLNNNPPPUUUVVVVVVWWWWWWWWWWWWWWWXXXWWWWWWXXXYYYYYYXXXVVVTTTRRRQQQPPPPPPNNNLLLJJJDDDCCCAAA???===<<<<<<;;;???@@@@@@AAAAAAAAAAAA@@@@@@???>>>===;;;:::999888888777777666555444333333444444333222222222222222111111111111111111222222222222222222222222222222111111111111111111111111111111222222222222111111,,,,,,,,,,,,------...///,,,...///...,,,***,,,..................---------,,,,,,+++***+++,,,---...,,,,,,,,,------.........---..................---...---,,,++++++,,,...000............/////////000---///111333333222000///111111111111111111111111333333333333444555666777888:::>>>BBBHHHOOOWWW]]]hhhnnnuuuxxxwwwxxx{{{~~~~~~~~~{{{|||~~~|||{{{zzzyyyxxxxxxxxxxxx{{{vvvqqqqqqvvvzzzvvvyyy{{{zzzxxxwwwxxxzzz{{{yyyvvvsssnnnhhh```[[[TTTPPPLLLJJJJJJLLLMMMMMMLLLKKKJJJIIIIIIIIIJJJKKKBBB???===;;;;;;:::999777777777666555333222111111333333222111000///......,,,,,,.../////////...---......////////////..............................000000000000000000000000////////////////////////........./////////000000////////////////////////.........------.........---...///...------...///---------.........//////000000000000000000000000---...///111111111000000.........------.........////////////////////////.../////////000000111111000000000000000000000000111111000000000000111111000000000000000000000000111000///...///000222444............////////////111111111111111111111111111111111111111111111111111111111111111111111111000111111111111222222222111111111111111111111111000000000000000000000000///111444555555444111///000000000000000000000000000000000000000000000000000000000000000000000000///000000111222222333333000000111111222222222222000000111222333333444444444444555555777888:::;;;===AAAGGGKKKLLLMMMOOORRRPPPRRRSSSUUUVVVVVVUUUUUULLLNNNOOOPPPNNNKKKGGGDDDFFFFFFFFFEEEEEEFFFGGGGGGJJJKKKLLLLLLKKKKKKMMMOOOTTTUUUUUUVVVVVVVVVVVVVVVWWWVVVWWWYYY[[[\\\\\\[[[YYYXXXWWWVVVVVVUUURRRPPPIIIHHHFFFCCCAAA@@@???>>>AAAAAABBBCCCDDDDDDDDDDDDGGGFFFEEECCCBBB@@@???>>><<<;;;:::999888666555555555444333333222222333333333333222222111000000000222222222222222222222222000000000000000000000000111111222222222222111111---------------...///000...---,,,+++************,,,,,,,,,,,,,,,,,,,,,,,,+++,,,---...////////////.........------,,,,,,,,,------------------------000///...------...///000000222333333111000000111111111000000000000000111111...---...111222111///000111333555777999:::;;;AAAAAABBBGGGQQQ^^^kkksss}}}||||||zzz}}}}}}{{{}}}~~~~~~}}}||||||{{{www|||yyyuuupppmmmnnnrrrvvv{{{~~~{{{tttpppsssxxxzzz|||{{{yyywwwuuupppkkkggg```YYYQQQQQQUUUYYYXXXUUUMMMNNNNNNKKKIIIHHHIIIKKKGGGDDD@@@<<<999999999:::999;;;;;;888333000000111...//////000000///............///////////////...333000,,,,,,///000///---.........------,,,,,,,,,,,,...///...------...///............////////////000000000000000000000000//////.........---------++++++,,,,,,---...//////......------------......////////////////////////,,,,,,------...///////////////////////////////////////............//////............////////////000000000000000000000000000000000000000000000000//////000000///...------000000000000000000000000000000000000000000000000000000000000000000000000000///.........///111222000111111111111222222222222111111111000000//////444333111///000222444666111111111111111111111111000111111111111222222222000000000000000000000000000000000000000000000000000000000000000000000000000000000000111111111111000000000000111111111111000222333444333222000...222333444444555555444444111333555777999<<<@@@CCCEEEJJJOOORRRSSSTTTVVVXXXVVVYYY\\\]]][[[YYYXXXWWWXXXUUURRRPPPMMMHHHDDDBBBBBBAAA@@@???@@@BBBDDDEEEHHHJJJKKKJJJGGGFFFHHHKKKOOOQQQRRRQQQNNNMMMMMMNNNPPPNNNOOOUUUXXXVVVUUUWWWVVV[[[]]]YYYUUUVVVVVVUUUVVVSSSOOOLLLKKKHHHFFFCCCEEEEEECCCAAA@@@BBBFFFIIIKKKKKKLLLLLLJJJGGGEEECCCDDDCCCAAA???<<<:::999888666555444222000/////////444333333222111000//////333333333222222222111111000000000000000000000000111111111111111111111111///......---------............---++++++******+++,,,,,,,,,,,,,,,,,,,,,,,,+++,,,---...////////////.........------,,,,,,,,,------------------------000///...------...///000---///111111000000111222111111000000000000111111000///...///222333333111111222444666888;;;>>>@@@GGGIIILLLTTT___mmmyyy|||{{{}}}}}}~~~}}}}}}}}}{{{}}}yyytttqqqrrrvvvzzz~~~yyyuuuwwwzzzzzz~~~}}}||||||{{{yyyuuurrrlllfff```aaaeeehhhgggdddWWWRRRMMMJJJIIIIIIGGGFFFGGGEEEAAA>>>;;;999999999<<<>>>???===999555333333111111111111000///...---......///////////////...---+++)))))),,,......---.........------,,,,,,,,,---...///...---,,,---...............//////////////////////////////////////////.........---------++++++,,,------...//////......------------......////////////////////////..................------//////////////////////////////............//////............////////////////////////////////////000000000000000000000000000000111111000000///...000000000000000000000000222222222222222222222222000000000000000000000000000//////...///000111222000111111111111222222222111111111111000000000///333222000000000111333444111111111111111111111111000111111111111222222222111111111111111111111111000000000000000000000000111111111111111111111111000000000000111111111111111111111111222222222222111222333333333333222111333444444555555555555555666777888999:::===BBBEEEIIINNNSSSVVVVVVWWWYYYZZZZZZ\\\______]]]ZZZYYYXXXWWWTTTRRRPPPMMMIIIEEEDDDAAAAAA@@@AAABBBEEEHHHJJJJJJJJJJJJJJJJJJLLLOOOQQQPPPPPPPPPPPPOOONNNLLLJJJKKKIIIJJJNNNPPPNNNNNNPPPPPPVVVYYYWWWTTTTTTSSSQQQSSSPPPMMMKKKKKKJJJIIIGGGHHHHHHGGGFFFDDDDDDEEEFFFIIIKKKMMMOOOOOOOOOMMMLLLKKKJJJIIIHHHEEEBBB@@@???777666555444333222222222333222222222222222333333333333333222222222222111222222222222222222222222111111111111111111111111000000///------,,,,,,,,,///...---,,,,,,,,,,,,,,,---------,,,,,,+++++++++,,,,,,---...////////////.........---------------//////////////////////////////............//////+++---///000000000111222111111000000000111111222000///...000222333333333333444666999;;;@@@EEEIIIJJJMMMTTT^^^jjjwww|||wwwwww{{{~~~}}}{{{||||||~~~}}}|||}}}|||zzzzzz~~~}}}}}}}}}{{{}}}}}}~~~yyyuuusssuuuzzz|||zzzwwweee\\\QQQKKKJJJJJJFFFBBBFFFEEECCC@@@===;;;999888<<>>;;;999777666444333222111222333555666444444333333333222222222333333333333333333333333111111111111111111111111---------------...////////////...---------......---------,,,,,,+++++++++,,,---......///.................................000000000000000000000000...//////////////////...///111333222111000000111111111111111111222333333333333222111111111333555555999>>>AAADDDKKKTTT[[[cccgggnnnuuu{{{~~~|||{{{~~~yyyooojjjhhhfffeeecccbbb```^^^^^^]]]```eeemmmtttxxxuuuooojjj```___]]]\\\^^^ccchhhmmmkkkooorrrrrrssszzz|||vvvtttvvvyyywwwxxx||||||zzzzzz||||||wwwrrrlllaaaUUUKKKEEECCCCCCEEEEEEEEEDDDBBB@@@===;;;888;;;@@@DDDGGGFFFCCC@@@888777555333222111111111222111000///////////////111000///.........000111........................///000000///---+++,,,---............////////////........................---.....................------...............///......------------......////////////////////////---------.........////////////////////////////////////............//////............////////////........................//////////////////////////////000111111000000000////////////////////////........................///////////////////////////000000111111111111111000000111111111222222222000000000000000000111111...///000222222111000///111111111111111111111111000000111111111222222222111111111111111111111111111111111111111111111111111111111111111111111111111111111111222222222222000000111222222333444444666666777888:::<<<>>>???@@@@@@?????????@@@AAABBBBBBEEEJJJMMMOOOQQQSSSUUURRRTTTWWWYYYZZZXXXUUUSSSOOOPPPPPPNNNKKKJJJJJJKKKKKKTTT[[[\\\]]]``````]]]UUUTTTQQQOOONNNNNNOOOPPPTTTPPPPPPYYYgggqqqtttrrrqqqnnnkkkkkkjjjcccXXXOOONNNJJJHHHIIIHHHIIIOOOWWWdddiiinnnooopppppplllfffYYYTTTMMMIIIHHHJJJLLLMMMKKKJJJJJJMMMPPPRRRPPPOOOKKKLLLMMMOOOQQQSSSTTTUUURRRTTTVVVVVVTTTOOOIIIFFFEEEDDDCCCAAA???>>>======777666555333222333333333444444444333333333222222222222222222222222222222111111111111111111111111,,,,,,,,,------///000000///......---------......,,,,,,,,,,,,,,,,,,,,,,,,------...............---.............../////////000000000000000000000000......////////////......111222333333111000000111111111111111111222333444444444444333333444888;;;:::@@@GGGKKKNNNTTT^^^fffsssvvv{{{~~~zzzxxxzzzzzzoooddd]]]ZZZYYYVVVXXXYYYZZZYYYVVVSSSQQQRRRVVV\\\``````]]]XXXTTTRRRSSSSSSSSSTTTWWW[[[___]]]```bbbbbbbbbfffnnnuuurrrppplllgggdddfffkkkoooqqqqqqvvv~~~{{{xxxxxxyyy}}}zzzrrrmmmqqqmmmfffZZZOOOGGGEEEEEEDDDEEEEEEEEEDDDBBB@@@???<<<>>>AAAEEEJJJLLLKKKIII>>><<<999666444333333333333222000///...//////000000000000...,,,,,,...000.............../////////...///000///---,,,,,,---............////////////........................---------.............................................------------......////////////////////////,,,,,,------...//////000//////////////////////////////............//////............////////////////////////////////////000000000000000000000000...///000000111000000000000000000000000000000000111111111111111111111111000000000000000000000000///000111111222222111111000111111111111222222222000000000000111111111111///000111222222222111000111111111111111111111111000111111111111222222222222222222222222222222222111111111111111111111111222222222222222222222222111111111222222222222333111111222333444444555555999:::;;;===???@@@AAABBBDDDCCCBBBAAABBBCCCDDDEEEHHHKKKNNNPPPQQQQQQQQQRRRQQQRRRTTTVVVWWWTTTOOOKKKMMMNNNMMMKKKJJJJJJLLLNNNRRR```kkkmmmnnnrrrqqqllldddaaa]]]XXXTTTRRRQQQPPPOOOOOOTTTaaaqqq{{{~~~|||sssrrrpppooollleee\\\UUUPPPMMMKKKLLLLLLOOOYYYdddqqqtttuuuuuuvvvwwwtttnnnccc\\\SSSMMMKKKLLLOOOPPPPPPPPPQQQVVVZZZ[[[XXXUUUQQQPPPOOONNNOOOQQQSSSUUUNNNPPPQQQRRROOOKKKFFFBBB@@@@@@@@@@@@AAABBBCCCCCC;;;:::999888666444333222444444444444333333333333222222222222222222222222111111111111111111111111......---------......///...---------------......***++++++,,,,,,------...---...............---------........./////////000////////////////////////---...///000000///...---...000222222111000000111111111111111222333444555333444666666777:::@@@DDDGGGNNNWWW\\\^^^dddnnnuuu|||~~~}}}{{{zzz}}}yyyppplllmmmppptttwwwyyyzzz{{{xxxqqqggg]]]VVVRRROOONNNNNNPPPRRRSSSRRRPPPNNNLLLJJJLLLOOOPPPOOOLLLJJJIIIHHHKKKNNNNNNNNNNNNPPPRRRQQQSSSUUUVVVVVVWWWYYY\\\\\\^^^aaabbbbbbcccgggiiillljjjlllqqquuuzzzzzzpppppprrrvvv|||zzzuuurrrtttpppiiibbbZZZRRRLLLHHHDDDDDDEEEEEEDDDDDDCCCCCCBBB@@@AAADDDHHHLLLMMMLLLFFFDDD@@@;;;888555444444444333111///......///000---...///---+++,,,...111---........./////////000---...///...---,,,---...............////////////........................---------.........//////////////////..................------------......////////////////////////------..................//////////////////////////////............//////............////////////////////////////////////000000000000000000000000///000111111222222111111000000000000000000000000222222222222222222222222000000000000000000000000///000111222222222111111000111111111111222222222///000000000111111111111000111111222222222222222111111111111111111111111000111111111111222222222222222222222222222222222111111111111111111111111222222222222222222222222111111111222222222333333333333444555666777888888<<<===???AAACCCDDDDDDDDDEEEDDDCCCBBBBBBDDDEEEFFFHHHJJJKKKLLLMMMOOOSSSVVVVVVVVVWWWYYYZZZWWWQQQLLLLLLMMMLLLKKKKKKLLLPPPSSSZZZkkkyyy{{{{{{~~~{{{tttqqqnnnhhhaaa\\\WWWUUUTTTPPPSSS[[[hhhuuu|||{{{xxxpppppppppooolllfff```\\\TTTQQQPPPQQQSSSXXXfffrrr||||||zzzwwwxxxzzzxxxssskkkdddZZZRRRPPPQQQTTTVVVUUUXXX___iiiqqqrrrmmmgggaaa]]]WWWQQQNNNNNNPPPQQQMMMNNNOOONNNLLLHHHDDDAAA=========>>>>>>@@@AAAAAA>>>>>>>>>===;;;999666444555444444444444333333333333333333333333333333333111111111111111111111111000///...---------------------,,,,,,,,,------...)))***+++,,,------...///---...............---------.........//////000000////////////////////////---...///000000///...---+++---000000000000111222111111111111222333444555111444777888:::???FFFLLLTTT\\\eeekkkmmmrrr{{{zzzqqqhhhaaaZZZ^^^ccchhhlllmmmnnnmmmllldddZZZSSSOOOLLLJJJGGGKKKLLLNNNNNNNNNMMMLLLKKKKKKLLLMMMMMMKKKJJJJJJJJJCCCGGGKKKLLLJJJIIIIIIJJJJJJKKKMMMOOOPPPOOONNNMMMSSSYYYaaaeeefffffffffgggiiifffdddeeeiiippp~~~xxxiiiiiikkkpppvvv||||||}}}}}}zzztttmmmiiieee___UUUMMMDDDDDDDDDDDDDDDEEEEEEEEEDDDAAA???@@@EEEIIIKKKKKKNNNJJJEEE???:::666444444444333111///......///000,,,...///...------111444---.........//////000000,,,...///...------...///............/////////000........................---------........./////////////////////..................------........./////////////////////////////////...------,,,,,,//////////////////////////////............//////............/////////000////////////////////////000000000000000000000000000111222333333333333333000000000000000000000000000000000000000000000000000000000000000000000000///000111222333222111111000111111111111222222222//////000000111111111222222222222222222333333333111111111111111111111111000111111111111222222222222222222222222222222222111111111111111111111111222222222222222222222222111111222222222333333333555555666777888999::::::===???BBBDDDFFFFFFEEEDDDEEEDDDBBBAAABBBCCCEEEFFFDDDEEEEEEFFFIIIOOOWWW]]]]]]]]]]]]``````]]]VVVQQQKKKKKKKKKKKKKKKNNNRRRUUU___qqq~~~uuuyyyuuuooogggaaa\\\YYYWWWUUUZZZcccmmmvvvwwwtttooollloooqqqppplllhhhdddcccWWWUUUUUUVVVYYY```ooo}}}}}}xxxyyy|||zzzvvvqqqiii^^^VVVTTTVVVYYY[[[WWW]]]jjjzzz{{{rrrlllaaaVVVOOOKKKKKKLLLNNNNNNNNNNNNKKKHHHDDDAAA???>>>===<<<;;;;;;;;;;;;???@@@AAAAAA@@@===999777555555444444444333333333444444444444444444444444111111111111111111111111........................,,,,,,,,,---------......------------------------,,,,,,,,,---...///000000////////////////////////000000//////.........---111000///......///000111000000000000////////////333444444444444444444444999999:::>>>FFFPPPYYY___jjjqqqxxxyyyvvvvvv}}}{{{nnnfff```ZZZVVVWWWXXXZZZ\\\^^^___``````VVVSSSPPPLLLIIIGGGGGGGGGEEEHHHJJJKKKKKKLLLPPPSSSRRRRRRRRROOOLLLIIIHHHIIIIIIIIIIIIIIIHHHGGGFFFFFFFFFIIILLLLLLJJJJJJMMMPPPVVVYYY___eeehhhiiihhhgggggg___YYY[[[___cccmmmxxx|||{{{|||xxxvvvsssqqqqqqtttwwwzzz|||}}}}}}}}}yyyuuuttttttoooeee\\\UUUNNNHHHFFFHHHJJJHHHFFFEEEGGGGGGEEECCCCCCFFFJJJMMMNNNMMMHHHAAA<<<:::;;;222111000111222111000...111111000......---------......------------.........------......///000111////////////////////////000000//////.........---////////////////////////000000//////.........---//////......---------,,,+++,,,...---,,,,,,---///------------.........//////......---------......////////////............////////////////////////000000////////////000000///////////////000111111111111222222222222111111111000000000//////......000000000000000000000000......////////////.........///000111222333333333111111000000000222333444111111111000000000000000222222222222111111000000111111000000000000111111000000000000000000000000555444333222111111111111000111333444444333222111111222222222333333333333111333555666666555666777999999999:::<<>><<<999666555555777888555333111//////000222444333444555666555444333222........................,,,,,,---------.........---------------------------,,,,,,------///000000////////////////////////000000000/////////......000000111111111111000000111111111111111111111111111222333333333444666777:::<<<@@@GGGQQQ\\\ffflllwww|||~~~zzzzzz~~~pppddd]]]XXXSSSPPPRRRRRRSSSSSSSSSTTTTTTTTTLLLJJJHHHFFFFFFFFFGGGHHHIIIKKKNNNNNNOOOQQQUUUXXX]]]]]]]]]ZZZVVVSSSRRRRRRNNNNNNNNNOOONNNNNNMMMMMMLLLMMMNNNNNNOOOQQQUUUWWW]]]```dddhhhiiiiiigggeeebbb\\\XXXYYY[[[]]]ccckkktttsssqqqnnnlllnnnrrruuuyyy|||~~~~~~zzzxxxwwwyyy{{{}}}~~~~~~{{{}}}|||tttlllddd]]]TTTOOONNNNNNKKKHHHEEEFFFGGGGGGFFFFFFGGGIIIJJJKKKLLLJJJFFFAAA>>>===666444222222222222000...111111000//////////////////......------......///...------......///000111////////////////////////000/////////............////////////////////////000/////////............/////////.........------,,,,,,,,,------.........------........./////////...............///000111---.........//////000000////////////////////////000000////////////000000///////////////000111111111111222222222222111111111111111000000/////////000000000000000000000000//////000000000000/////////000111222222222222222111111000/////////000111222222222111111111111111222222222222111111111000111111000000000000111111111111111111111111111111222222111111111222222333111111222333333333333333333333333333333333333333222444666777666777888:::;;;;;;<<<>>>@@@BBBDDDEEEDDDDDDDDDDDDEEEFFFGGGGGGJJJIIIIIIGGGEEEDDDBBBBBBCCCFFFGGGHHHOOO\\\eeehhhnnnmmmnnnooonnnjjjbbb\\\XXXQQQPPPWWWZZZXXX]]]fffuuu{{{}}}vvvpppooopppsssrrroookkkhhhhhhjjjlllhhhhhhiiijjjjjjhhhdddaaabbbbbbdddgggkkkmmmkkkhhheeeeeeddddddgggnnnyyy{{{xxxrrrnnnmmmnnnqqqtttxxxooofff```ZZZWWWZZZ```gggwww{{{uuulllbbb\\\YYYXXXXXXXXX[[[YYYRRRMMMMMMLLLJJJKKKHHHDDD@@@>>>=========??????@@@AAAAAA@@@??????AAA???===:::777666555555333222222222111111111111333444555555555444222222........................,,,------------.........---------------------------------------...///000////////////////////////111000000000000000/////////000222444444222000///222222222222222222333333000222333444555777:::===<<>>@@@@@@AAABBBDDDEEEFFFGGGGGGEEEDDDCCCCCCEEEGGGJJJKKKMMMOOOPPPMMMHHHEEEDDDFFFEEEHHHIIIKKKTTTbbbmmmqqqwwwvvvsssrrrppplllgggccc```YYYXXX]]]```___dddmmmwww{{{~~~{{{tttooonnnppprrrrrrqqqooonnnnnnqqqssstttqqqmmmkkkiiifffcccaaaaaabbbcccgggkkklllllljjjllllllllllllllloootttxxxwwwsssnnnkkkkkkoootttwww~~~ssshhhbbb```^^^___bbbkkk}}}zzzwwwqqqhhh___\\\]]]```^^^bbbbbb[[[VVVXXX[[[\\\[[[UUUMMMGGGCCCBBBBBBAAA@@@AAABBBCCCBBBBBBAAA@@@CCCCCCBBB@@@===:::777555444444555666555444222111333333444444444333222111........................------------....................................---------------...///000////////////////////////111111111111000000000000000000111222222111000000111111222222333333333444222444666777888;;;AAAEEEDDDKKKVVVdddqqq|||{{{yyyxxxxxxwww|||xxxpppnnnqqqqqqsssssssssqqqooonnngggaaaXXXRRROOONNNMMMLLLMMMLLLJJJHHHGGGFFFFFFGGGGGGGGGGGGIIILLLPPPSSSVVV]]]\\\\\\\\\\\\]]]___```aaadddggghhhgggfffeeeeeekkklllmmmoooppppppppppppnnnmmmnnnsssyyy}}}|||{{{~~~~~~{{{wwwsssppplllkkkkkkjjjhhhdddaaa```___^^^]]]\\\]]]aaafffkkkmmmoooqqqrrrsssuuuxxx||||||uuupppnnnmmmllllllXXXSSSMMMJJJKKKKKKIIIGGGGGGFFFGGGJJJNNNNNNKKKGGGDDD@@@;;;888666444333222000000////////////000000//////............//////...------......///000111///////////////////////////////////////.........///////////////////////////////////////.........000000000000000/////////000,,,)))+++000222///+++////////////000000000000///.........///000111111---------...///000000111////////////////////////000000////////////000000111000000///000000111111111111222222222222111111222222111111111111111111000000000000000000000000111111111222222111111111111111222222222111111000000000//////............111111111222222222222222222222222222222222222222222111111000000111111222111111111111111111111111000000000000111222333333222222333333555666777888666555444333222222222333444666999;;;>>>AAAFFFIIIHHHHHHIIIJJJJJJIIIGGGFFFCCCCCCCCCDDDGGGLLLPPPSSSYYY\\\]]]XXXPPPKKKJJJLLLHHHKKKLLLMMMVVVeeepppuuuxxxuuurrrooommmkkkjjjiiigggaaa___bbbddddddiiipppvvvyyy{{{zzzuuussstttvvvwwwxxxyyyyyyxxxzzz||||||vvvpppnnnlllkkkjjjhhhiiikkknnnqqqssstttuuuyyyyyyxxxvvvtttrrrqqqppprrrqqqooonnnpppssswwwyyy~~~sssiiihhhiiigggdddcccnnn}}}xxxuuuwwwuuummmbbb[[[[[[^^^bbbddddddbbbdddlllsssuuuoooggg[[[RRRMMMJJJHHHGGGEEEFFFGGGGGGGGGEEEDDDBBBBBBCCCEEEFFFEEEBBB???<<<999999999888777666555444333333333333333222222222........................---------.........//////...........................------------...//////000000000000000000000000000000000000111111111111111000///......///000111000000111111222333444444333666999:::;;;???GGGNNNSSSZZZeeeqqq|||zzzwwwwwwwwwwwwvvv|||~~~rrrgggccceeedddfffhhhiiihhhddd___\\\VVVRRRMMMJJJIIIJJJKKKLLLJJJJJJIIIIIIIIIJJJJJJKKKJJJKKKNNNRRRXXX^^^dddgggpppooonnnmmmllllllkkkjjjjjjnnnssswwwyyyyyyzzzzzz~~~~~~~~~{{{wwwrrrnnnffffffdddbbbaaabbbeeehhhkkkkkkkkkkkklllmmmppprrr}}}{{{{{{~~~~~~|||~~~zzzyyyxxxxxxxxxhhh```UUUNNNKKKKKKIIIHHHIIIFFFEEEGGGLLLOOOOOONNNIIIEEE@@@<<<:::888666555000000//////...//////////////////....../////////...------......///000111////////////////////////.........///////////////////////////////////////.........////////////////////////000000000000000000,,,***,,,000222///,,,////////////000000000000000///......------------///////////////.........////////////////////////000000////////////000000111111000000000000111111111111222222222222111111111111111111111111222222111111111111111111111111111111222222222222111111111111222222222111111000//////000000111111111111000000000000111111222222222222222222222222222333222222111111111111222222111111111111111111111111222222111111111111222222333444555666777888999:::666555333222222333444555777:::>>>AAAEEEJJJOOORRRPPPPPPOOONNNLLLIIIFFFDDDAAABBBEEEIIIOOOUUU[[[^^^eeehhhhhhcccYYYRRRPPPQQQMMMOOOPPPPPPXXXeeeooorrrsssrrrpppnnnmmmmmmooopppllliiihhhjjjmmmoootttzzz}}}~~~{{{yyyzzz{{{|||wwwuuuuuuvvvvvvuuuvvvxxxzzz|||}}}yyywwwqqqssstttwwwxxxzzzzzzzzz}}}tttppptttxxxuuunnniiiqqqzzztttqqqoootttvvvpppcccYYYWWWXXXaaaaaabbbgggtttwwwjjj___YYYUUUPPPMMMIIIJJJKKKKKKJJJHHHEEECCC@@@BBBFFFIIIKKKKKKJJJIII@@@>>>;;;888666555555666444444333333333222222222........................------........./////////..............................---------......///000000000000000000000000//////000000000000000111222000...------...000222//////000111333444555555333777<<<>>>@@@GGGRRR[[[ffflllttt}}}}}}zzzyyyzzz{{{||||||wwwooohhhbbbaaaccc```aaaaaa___[[[UUUPPPLLLHHHGGGEEEDDDEEEGGGJJJLLLKKKLLLNNNQQQSSSTTTUUUUUURRRTTTXXX___gggpppwww|||}}}zzzuuuzzzvvvuuusssnnniiifffeeeeeefffeeecccaaabbbcccfffhhhrrr|||}}}{{{xxxwwwxxxzzz{{{{{{|||{{{zzzzzzuuummmaaaVVVOOOKKKJJJIIIIIIGGGEEEFFFIIILLLOOOPPPLLLHHHDDDAAA>>>===:::888222222111000////////////000//////......//////000...------......///000111////////////////////////.........///////////////////////////////////////.........///////////////......////////////000000///---+++---000111///---....../////////000000000111000///---,,,,,,,,,,,,000000//////............////////////////////////000000////////////000000222222111000000000111111111111222222222222111111000000000111111111111111111111111111111111111111111111222222222222111111000111111222222222111111///000111222333333333333/////////000111111222222222222222222333333333333222222111111111111222222222222222222222222222222333333222222111222222222555666888:::;;;;;;::::::666555444444555777999;;;===AAAFFFJJJMMMQQQTTTWWWTTTTTTRRROOOLLLHHHEEEDDDAAAEEEKKKSSSZZZaaafffhhhlllnnnnnniiiaaaZZZVVVUUUSSSUUUVVVVVV[[[fffmmmoooqqqrrrrrrrrrrrrssswwwyyysssssstttwww{{{~~~~~~zzzwwwwwwxxxyyyzzzvvvwwwyyyyyyzzz}}}|||xxx{{{~~~|||}}}|||vvv{{{uuuqqqnnnoootttwwwqqqfff[[[VVVVVV^^^aaafffrrruuulllfffaaaZZZTTTOOOPPPPPPPPPNNNJJJFFFDDD@@@BBBFFFIIIMMMPPPQQQRRRGGGDDD???:::777666666666666555444333333333444444....................................////////////........................///......---------......000000000000000000000000....../////////000000000111000000000000000000111000000111333444666777777666<<>><<<666555444222111000000///000000////////////000000...------......///000111////////////////////////............/////////000////////////////////////............/////////000------........./////////............////////////------........./////////000000///...---------............///////////////////////////////////////000000////////////000000333222111111000000111111111111222222222222111111/////////000000111111111111111111111111111111111000000111111111111000000///000111222222222222222000111222333333222222111//////000111111222333333222222222333333333444444333222222111111222222333222222222222222222222222222222222222333444555555777999<<<>>>???===;;;999666666666666999<<<@@@BBBFFFJJJOOORRRTTTUUUVVVWWWUUUSSSQQQMMMJJJHHHFFFEEEFFFLLLUUU___ggglllooopppqqqqqqpppmmmhhhccc^^^[[[YYY\\\]]]\\\aaaiiiooopppqqqtttwwwyyyyyyzzz}}}|||yyyrrrtttvvvvvvuuusssrrrsssuuurrrppppppqqqssssssssslllnnnnnnnnnnnnpppuuuyyyvvvuuutttvvvyyyzzzyyywwwyyyzzz}}}~~~~~~}}}{{{yyy{{{yyy}}}xxxuuusssqqqsssvvvwwwrrriii```]]]]]]aaajjjwwwyyytttqqqkkkccc[[[WWWXXXXXXWWWTTTOOOJJJGGGDDDDDDEEEGGGKKKNNNQQQSSSOOOLLLHHHDDD???<<<:::999777666555444444444555555..................................../////////000///////////////////////////......---------......000000000000000000000000---.........//////000000///111222333333222111///111111222444666777888999:::@@@HHHNNNUUUaaaqqq}}}yyy|||ooogggbbbeeejjjhhhccc```]]]YYYRRRLLLHHHGGGHHHJJJIIIKKKMMMOOOQQQTTTYYY\\\eeehhhnnnsssvvvxxxwwwvvvwwwxxxzzz}}}~~~|||vvvpppggg___[[[YYYYYYYYYWWW]]]cccfffddddddfffiiioooooopppsssxxx~~~sssrrrqqqrrruuu{{{yyyxxxrrrgggZZZPPPLLLKKKCCCGGGJJJJJJHHHFFFHHHJJJKKKJJJHHHGGGFFFDDD@@@>>>999888666444333111111000000000////////////000000...------......///000111////////////////////////---.........//////000000////////////////////////---.........//////000000,,,---------......//////---...//////......///111------------.........///000////////////000000111,,,------...///000111111////////////////////////000000////////////000000333333222111000000111111111111222222222222111111......//////000000000111111111111111111111111111000000111111111111000000...///000111222333333333222222333333222111///...000000111222333333444444222222222333333444444444333222222111111222222333222222222222222222222222111111222333444666777888888;;;>>>AAAAAA???;;;999777777777999<<<@@@EEEHHHLLLPPPUUUXXXXXXWWWVVVUUUSSSRRROOOLLLIIIHHHHHHHHHJJJQQQ\\\hhhpppttttttssssssrrrqqqpppoookkkeeeaaa]]]```aaaaaafffmmmqqqqqqqqqvvv{{{}}}}}}~~~|||uuupppmmmkkkmmmoooooommmjjjhhhhhhiiihhhggghhhjjjkkkkkkjjjggghhhhhhgggfffhhhmmmrrrqqqooommmnnnqqqsssrrrqqqoooooooooooonnnmmmlllkkklllkkkpppzzz}}}xxxxxxwwwuuuxxxyyywwwrrrkkkfffdddeeefffuuuzzzwwwvvvrrrhhh```___``````^^^ZZZUUUOOOLLLHHHGGGFFFFFFGGGKKKOOOQQQUUUTTTRRRNNNIIIDDD???<<<888777666555444555666666......---,,,,,,,,,---------///111111000/////////............------------,,,,,,,,,,,,,,,,,,++++++......////////////......111111111000000000000000............///000111222111222444444555777;;;>>>???GGGQQQ[[[bbblllwww|||{{{zzzzzz{{{~~~wwwqqqddddddfffhhhjjjiiifffccc___ZZZTTTPPPPPPQQQQQQQQQTTTSSSSSSTTTXXX___fffkkktttyyy}}}vvvnnnhhhcccaaa```bbbaaa___]]][[[[[[^^^aaaaaaffflllqqquuuyyy|||rrroookkkiiilllttt|||~~~}}}{{{}}}~~~tttjjjbbbZZZTTTOOOJJJHHHEEEEEEGGGIIIJJJJJJJJJHHHFFFFFFHHHIIIHHHGGGDDD???999444222222111000000000///------,,,,,,---000000000000000000000000...............///000111222111000.........///000---------.........//////...............///000000000//////.........//////---------............///000000000000000000000000------......//////000000///////////////////////////---,,,---000000...+++///...---///111222222111000000000000000000000000000000000000000000000000111111111111111000//////...//////000111222222222222333333111000000333555333111000000111111000...000000000000111111111111000111111111111222222222111222333333444444444333000000111222333333444444333222222222222222222222555555666777888:::;;;<<>>???EEEDDDBBB@@@===:::888777777;;;@@@EEEJJJOOOUUUYYY[[[[[[[[[ZZZXXXUUUSSSRRRTTTMMMIIILLLPPPPPPPPPQQQXXX^^^gggrrrxxxxxxrrrmmmgggfffiiiooopppkkkhhhjjjqqqtttxxx}}}}}}xxxwwwyyy|||zzzxxxvvvtttssstttuuuvvvyyyuuupppkkkhhhiiijjjlllnnnnnnooonnnllljjjiiiiiifffmmmrrrqqqooonnnllliiigggmmmpppnnnmmmqqqqqqooommmnnnnnnoootttzzzzzzuuujjjhhhfffggghhhgggbbb^^^]]]___bbbccccccaaa``````___aaaeeeiiimmmppprrrrrrvvvyyy|||{{{wwwvvvxxx{{{~~~xxxjjj]]]^^^___bbbeeeeeebbb___]]][[[ZZZWWWQQQKKKGGGFFFGGGMMMOOOSSSXXXZZZYYYUUUQQQIIIEEE@@@;;;888666444333+++++++++,,,---///000111///111333444222111111111222222111111111000000000////////////000000000000...//////000000//////...000000000000000000111111222222222111222222333333777777666777;;;CCCLLLSSSbbbhhhoootttuuuuuuwwwyyy}}}}}}zzz{{{~~~~~~uuunnnkkkjjjiiimmmoooqqqooojjjddd```]]]ZZZ]]]aaadddeeebbb___\\\ZZZ[[[[[[]]]___dddkkkooosssuuuwwwzzz}}}}}}wwwooohhhdddccccccfffjjjmmmooorrruuuwww|||wwwuuurrrqqqqqqtttxxxzzzxxxwwwwwwxxx{{{~~~}}}wwwnnnddd]]]VVVOOOGGGCCCDDDHHHKKKLLLLLLMMMNNNNNNLLLKKKKKKKKKHHHDDD>>>999777444222000222222111000000000111111000000000000000000000000............////////////000///......---.........------........./////////...............///000000------,,,,,,,,,------...////////////000000000111///////////////////////////////////////.........////////////////////////000000///000111222000...---,,,,,,---///000000///000000000000000000000000000000000000000000000000000111111111111000000////////////000111111222222333333333222000000111222222111000000111111000///000000000000111111111111000111111111111222222222222333333333333333222222//////000000111111222222333333333333333333333333666777999;;;>>>AAACCCDDDFFFDDD@@@<<<:::888888888888===DDDKKKPPPTTTXXXZZZ\\\[[[ZZZZZZ[[[[[[ZZZXXX[[[TTTPPPSSSVVVWWWWWWYYYbbbeeekkkrrruuutttpppllljjjjjjmmmpppooolllnnnrrr~~~}}}vvvpppmmmmmmnnnooooooooommmmmmnnnppprrrtttuuurrrlllhhhfffhhhkkkmmmqqqrrrrrrqqqppppppqqqrrrrrryyy|||yyysssmmmjjjooossssssrrrrrrqqqnnnjjjlllmmmqqqyyy{{{rrrpppoooppprrrpppkkkgggdddeeeffffffddd```]]]ZZZYYYZZZ[[[]]]___aaabbbbbbkkkooosssuuuvvvyyy~~~~~~~~~}}}vvvhhh\\\[[[]]]aaafffkkknnnmmmkkkrrrnnnggg___XXXRRRLLLHHHFFFHHHMMMSSSXXXZZZYYYWWWTTTPPPJJJDDD???:::666333,,,,,,,,,------...///000111333555555333222111222222222222111111111000000............//////////////////000000000000//////000000000000000111111111333333222222222222333333777777777:::AAAMMMZZZcccqqqvvv{{{}}}{{{xxxvvvuuuxxxzzz|||zzzyyyzzz~~~yyyzzzpppgggddddddcccaaacccdddcccaaa\\\YYYWWWWWWVVVYYY]]]___```___^^^]]]ccceeehhhkkkooovvv~~~vvvqqqnnnjjjiiiiiihhhiiillloooqqqwww}}}|||zzzyyyyyyyyyzzzzzzzzzzzzyyy{{{}}}~~~~~~yyypppiii___WWWMMMHHHIIIKKKKKKJJJJJJMMMOOOOOONNNLLLMMMNNNIIIFFF@@@<<<999666333111222222111111111111111222////////////////////////000000000111111111000000.........---------..................////////////...............///000000---------,,,------............/////////000000000000000000000000000000000000000//////......------////////////////////////000000000000111111000///000///...///111222111000000000000000000000000000000000000000000000000000000000111111111111000/////////000000111111111111222333333222000///000111222000///000111111000//////000000000111111111111000000111111111222222222222333333333333222111111000000111111222222222222111111111222222222222222666888:::>>>AAADDDFFFHHHDDDBBB>>>;;;::::::<<<===???DDDJJJPPPSSSTTTVVVWWWVVVWWWZZZ^^^dddfffeeeccceee___[[[\\\]]]]]]^^^```eeegggkkkooorrrrrrpppnnnrrrssssssqqqoooqqqyyyuuummmkkkmmmpppnnnjjjeeeeeehhhkkklllkkknnnnnnooopppsssvvvyyy{{{{{{wwwqqqlllkkkmmmqqqtttuuuwwwxxxwwwvvvxxx|||~~~yyyrrrqqqtttvvvtttrrrqqqpppoookkkoootttzzz|||{{{xxxwwwwwwxxxvvvrrrmmmmmmmmmnnnoooooollliiifffdddbbb```]]]ZZZXXXWWWVVVYYY]]]bbbfffjjjpppwww|||~~~}}}{{{sssfff\\\YYY[[[^^^dddnnnxxx}}}}}}~~~uuunnniiicccZZZTTTGGGGGGIIIMMMSSSXXX[[[\\\[[[XXXRRRMMMHHHBBB<<<888///......------.........222444666666444222222222111111000000000/////////........./////////000000//////000000000000////////////000000111111111111222222111111111222333333666777:::@@@JJJXXXgggqqq{{{~~~{{{wwwuuuzzz{{{|||{{{{{{~~~|||xxxyyy|||rrrggg``````aaaaaa_________^^^ZZZWWWUUUVVVWWWXXX\\\aaadddgggjjjnnnqqqrrrsssvvvzzz~~~{{{|||}}}~~~~~~xxxsssmmmgggddddddfffgggqqqzzzzzzttthhh```XXXTTTUUUTTTOOOJJJJJJLLLMMMNNNNNNNNNNNNOOOHHHEEEBBB>>><<<999555333222222111111000111111111////////////////////////...///000000000///......------.........................../////////000000...............///000000......------...///000000------........./////////////////////////////////000000//////......------////////////////////////...///000000////////////111000///000111222111000000000000000000000000000000000000000000000000000///000000111111111000000000000000000000111111111111222333222000///000111111000///000111222111000///000000000111111111111000000111111111222222222222222222333333222111111222222333333333333333333///000000000111111111222666888;;;???CCCEEEGGGHHHBBB@@@???>>>???BBBEEEGGGLLLOOOSSSUUUUUUTTTTTTTTTTTTXXX```hhhnnnooommmkkklllfffbbbaaaaaa___aaaddddddgggkkkoooqqqtttuuuvvvppptttxxxwwwwww|||rrrfff```______```aaaaaabbbgggooossstttssspppqqqsssvvv{{{zzzsssqqqssswwwzzzwwwyyy{{{zzzzzz}}}yyyxxxvvvtttqqqnnnlllnnnqqqqqqyyy|||zzzyyyxxxuuurrruuuuuuuuuwwwyyyyyyvvvsssjjjhhhddd```]]][[[ZZZZZZSSSUUUXXX\\\___cccgggjjjtttzzz}}}vvvkkkbbb^^^___```dddsss}}}wwwtttnnnfff___TTTQQQNNNNNNRRRYYY^^^aaaaaa___[[[WWWRRRKKKDDD???000//////...------......333555666666444222111222000000/////////.........//////000000111111222222///000000111111000000////////////000111111222222111111111111222333444555888;;;@@@HHHSSSbbbqqqzzz~~~|||yyywwwyyy{{{}}}}}}~~~}}}~~~nnnhhhaaa^^^^^^______^^^XXXWWWVVVTTTSSSTTTVVVYYY\\\bbbiiipppuuu{{{}}}{{{xxxwwwvvvzzz~~~~~~}}}|||yyyvvvoooqqqtttvvvyyy|||yyypppjjjfffcccaaaeeemmmttt{{{|||qqqkkkdddcccdddbbbZZZSSSOOOMMMLLLLLLMMMNNNNNNMMMGGGEEECCCBBB@@@>>>:::777444444222111111000000000000000000000000000000000,,,---.........---+++***------.../////////............/////////000000000...............///000000...............///000111------------............,,,,,,,,,,,,,,,,,,,,,,,,///////////////.........////////////////////////---///000000///......///000///......000000///...000000000000000000000000000000000000000000000000///000000111111111111000000000000000000000111111///111222222111000000111111000///000111222111000000000000000111111111111000111111111111222222222000111111222222222222222333333444444444444444444//////000000111222222222666888;;;???BBBDDDDDDEEEAAABBBCCCFFFIIILLLOOOPPPRRRSSSTTTRRRPPPNNNNNNOOOYYYaaakkksssuuusssqqqooooooiiieeedddbbb```bbbgggiiilllqqqtttwww{{{~~~}}}zzzqqqeee^^^]]]```aaaaaaaaaccchhhnnntttwwwxxxwwwyyy{{{~~~xxxttttttwwwzzzvvvyyyzzzzzzzzz|||wwwrrrooommmlllrrrxxx~~~~~~}}}||||||zzzxxxzzz}}}~~~|||uuurrrlllfffbbb```_________```aaaaaabbbaaaaaa```___ffflllqqqyyy~~~vvvpppkkklllkkkmmm}}}zzzvvvrrrkkkfff___ZZZUUUSSSUUUYYY]]]```fffeeebbb___ZZZSSSJJJDDD///...............///000333444666666333111111111000000/////////...............///000000111222222000000111111111111000000...//////000111111222222111111111222333555666777>>>BBBIIIRRR]]]jjjvvv~~~|||zzzxxxxxxwwwvvvvvvyyyuuucccbbb___]]]\\\\\\]]]]]]UUUUUUVVVVVVWWW[[[```ccciiiqqq||||||zzzxxxvvvtttrrrqqqqqqsssvvv{{{}}}~~~}}}}}}}}}zzzxxxuuusssrrrpppnnnkkkgggiiilllnnnqqquuuyyy}}}||||||}}}}}}wwwpppkkkcccgggiiihhhkkkqqquuuuuuwwwyyy{{{}}}~~~{{{tttoooooorrrrrrkkkdddXXXRRRKKKJJJMMMNNNLLLHHHGGGFFFEEEEEEEEECCC@@@===777666555333222111111111000000000000000000000000---.../////////...,,,+++---...///000000000//////.../////////000000000000...............///000000------------...///000000............////////////------------------------.........///////////////////////////////////////...000222222000...///111000///...///000000///...000000000000000000000000000000000000000000000000//////000111111111111111111000000000000000000000---///111222111111111222000/////////111222111000000000000000111111111111000111111111111222222222...///000222333333333333333333333333333333333333000111111222333333444444666888;;;>>>@@@@@@@@@@@@BBBEEEJJJOOOSSSUUUVVVVVVQQQQQQOOOLLLJJJJJJMMMOOOaaakkkuuuzzzxxxttttttuuupppkkkggggggeeedddhhhnnnvvvyyy}}}{{{xxxsssnnnllljjjgggeeeeeegggiiijjjgggjjjooorrruuuwwwyyyzzz|||tttsssuuuwwwvvvyyy{{{zzz{{{yyyuuuuuuuuuvvv|||}}}{{{}}}xxxqqqllliiihhhhhhppppppqqqqqqpppnnnjjjhhhZZZ^^^bbbdddlllwww~~~~~~wwwyyyxxxyyyzzzvvvtttqqqooogggddd___]]]]]]^^^^^^^^^ddddddddddddaaa[[[SSSNNN---------......000111222333444666555333111000111000000000000////////////+++,,,,,,---...//////000000000111111111111000000...//////000111222222222111111222333555777999:::DDDHHHPPPYYYcccnnnxxx~~~{{{vvvsssrrrrrrrrrrrrwww|||{{{mmm^^^______^^^\\\[[[\\\^^^[[[]]]___aaadddiiipppttt{{{vvvuuutttrrrpppooonnnnnnnnnqqqtttvvvwwwwwwyyy{{{|||}}}}}}||||||yyyuuurrrpppooollljjjdddeeegggiiikkknnnrrruuu}}}}}}zzzvvvqqqmmmmmmqqqtttzzznnnoookkkdddaaadddffffffgggjjjnnnrrruuuzzz~~~}}}zzztttvvv{{{}}}wwwqqq```VVVLLLJJJMMMOOOJJJEEEGGGFFFGGGHHHIIIHHHDDDBBB:::999777555333222111111000000000000000000000000000111222333222111///------...000111111111000///////////////000000000000...............///000000+++++++++,,,---...///000////////////000000000000000000000000000000000000---.........//////000000///////////////////////////111444333111///111222333111000111222222111000000000000000000000000000000000000000000000000000//////000111111111111111111111111000000000000000+++...111222222111222333000/////////111222222111000000000000111111111111000111111111111222222222---...000111333333444444222222222222222222222222222222333444444555666666666888:::===>>>>>>======DDDHHHOOOUUUYYY[[[ZZZYYYSSSRRRPPPMMMLLLNNNSSSVVVfffooozzz|||xxxuuuxxx|||rrrmmmkkkkkkjjjjjjooouuunnngggiiijjjfffmmmqqquuuuuurrrpppppprrrooosssvvvwwwwwwxxx}}}~~~uuurrrsssuuuwwwzzz}}}|||}}}}}}{{{~~~zzz|||}}}zzzwwwvvvxxxyyyxxxyyy{{{}}}~~~|||xxxuuukkkkkkgggaaabbbhhhmmmnnnvvvxxx{{{~~~zzzwwwwwwxxxyyyooonnnllljjjiiigggdddaaa___```ccceeefffbbb\\\WWW//////////////////......///222444333000......000---------------...//////000///---+++,,,...111333000000000000111111111111000000000111222222111///...111555777777:::@@@DDDJJJTTT^^^bbbiiissswwwuuuuuuuuutttrrrqqqqqqsssuuuxxx}}}tttkkkeee[[[[[[ZZZXXXXXX[[[```ddddddnnnvvvwwwwww}}}~~~yyyyyyvvvyyy}}}~~~~~~|||{{{|||zzzzzzzzzxxxvvvssspppoooqqqooommmnnnrrruuuuuutttuuuvvvxxxzzzzzzzzzzzzyyyxxxxxxwwwvvvtttqqqnnnllllllkkkiiigggeeefffiiillltttwwwzzz|||{{{{{{{{{{{{|||}}}~~~}}}|||xxxuuusssqqqooolllgggddddddfffhhhqqqvvv~~~~~~xxxqqqjjjeeeaaa___aaacccfffkkksss||||||zzz{{{~~~{{{wwwwwwyyy{{{}}}pppdddVVVLLLJJJKKKKKKIIIHHHGGGGGGIIILLLLLLJJJGGGBBB???;;;777555333111///222222111111111111111222000000000000000000000000////////////////////////000///---,,,---...000222........................222111000///////////////000000///...........................////////////000000000000000000000000////////////////////////////////////000000000000000000000000000000000000111111222222222222111111111111111000000000000000222222111111000///////////////000000111111222222000000000000000000000000111111222222222222111111555333111222444555444111222222222222111111000000222222222222222222222222444444444333333222222222222222222333444555666777:::;;;<<<======???CCCFFFQQQPPPTTTZZZ[[[WWWYYY___\\\VVVRRRRRRSSSUUU[[[aaaooorrrwwwzzzyyyuuuoookkkjjjkkkkkkkkklllqqqwww{{{yyytttlllddd```cccjjjpppyyy}}}}}}{{{zzzxxxwwwxxxzzz|||}}}zzzvvvxxx|||~~~~~~|||~~~}}}xxxrrrqqqooommmkkkiiihhhgggdddbbbbbbfffnnnyyy~~~zzzxxxzzz|||}}}|||vvvpppnnnrrrrrrmmmjjjkkkiiikkkllljjjgggdddcccccc...........................000333222000...///000...............//////000222111///......///000111000000000000111111111111000000000111111111000000222444777888999===DDDIIIRRR]]]ggglllqqqvvvwwwtttnnnpppsssuuuwwwyyy|||~~~}}}vvvooohhhaaa\\\YYYYYYYYYYYY\\\aaahhhnnnvvv|||tttoooppprrrvvv{{{~~~~~~|||xxxuuuqqqpppmmmkkkiiijjjmmmppppppoooppppppqqqrrrrrrrrrrrrqqqtttttttttsssrrrooommmlllkkkkkkjjjhhhffffffhhhjjjjjjmmmpppqqqqqqpppqqqqqqrrrtttvvvwwwwwwuuusssrrrrrrqqqmmmiiidddcccdddeeeiiimmmtttyyy{{{zzzwwwtttwww|||uuuoookkkhhhbbbccceeeiiioooxxx{{{wwwyyy}}}}}}|||||||||{{{zzzxxxnnn___RRRKKKHHHGGGEEEIIIHHHIIIKKKNNNOOOMMMKKKEEEAAA<<<999777666444222222222111111000111111111000000000000000000000000000000000000000000000000...------,,,,,,...///000........................000//////......---......000000///...........................////////////////////////////////////////////////////////////////////////000000000000000000000000000000000000000111111222222111111000111000000000000000000000000000000000000111111111000000000000000111111111000000000000000000000000111111222222222222111111444222111111333444333111222222222222111111111000222222222222222222222222444444444333333333222222333333333444555666888999888:::===???AAADDDGGGJJJQQQPPPSSS[[[^^^]]]___dddfff```\\\\\\]]]^^^ccciiirrrwww{{{yyysssmmmjjjjjjiiijjjkkklllpppwwwxxxuuuqqqllljjjiiifffccccccgggmmmrrr~~~{{{yyywwwuuuvvvyyy}}}}}}|||xxxzzz~~~{{{|||{{{zzzwwwssspppmmmlll```]]][[[\\\aaahhhnnnqqq|||zzzyyy{{{~~~|||xxxuuuwww|||oookkkkkkppprrroooppptttyyy~~~{{{qqqgggcccccc........................---///000000/////////000///////////////000000111222222111111000000//////000000000111111111222222111111111111111111111000666888:::;;;===CCCLLLSSS___hhhrrrwwwyyyyyyvvvqqqkkkpppvvv|||}}}{{{yyytttlllddd___[[[XXXVVVVVVXXX\\\```fffnnnwww}}}}}}wwwpppmmmnnnpppuuu|||}}}zzzuuuqqqnnnllljjjhhhffffffhhhjjjjjjjjjjjjjjjiiiiiiiiijjjkkkkkkpppppppppppppppooonnnmmmjjjkkkkkkjjjhhhfffggghhhgggiiillllllkkkkkkkkkkkkjjjkkknnnqqqssssssrrrrrrtttsssqqqmmmhhhdddddddddcccfffkkknnnooollliiiffffffmmmvvv~~~{{{vvvsssjjjjjjiiijjjmmmsss{{{|||}}}{{{tttssswww}}}|||~~~}}}zzzwwwhhhYYYMMMEEEBBBAAAIIIIIIJJJMMMPPPRRRQQQPPPIIIEEE@@@<<<:::888777555333222222111000000000111000000000000000000000000111111111111111111111111,,,,,,,,,------------.........................../////////...............000//////............///............////////////........................////////////////////////////////////000000000000000000000000000000000000000111111222222111111000000000000000000000111111...//////000111111222222111111111111000000000000000000000000000000000000111111222222222222111111222111000111222333222000222222222222111111111111333333333333333333333333444444444444333333333333444444444555666777999:::666:::>>>BBBFFFIIIMMMOOORRRQQQTTT\\\cccfffhhhkkkpppjjjffffffffffffjjjppptttxxx{{{vvvlllfffgggkkklllooosssvvvyyy}}}uuuhhhaaa``````]]]aaacccfffhhhkkkpppvvvzzz~~~|||yyyxxxzzz~~~~~~xxxrrrpppssswwwzzzzzz}}}~~~}}}|||{{{~~~wwwqqqppplllmmmttt{{{~~~~~~yyytttpppmmmccc___ZZZWWWXXXZZZ\\\]]]kkklllnnnrrrvvvyyyzzzyyyxxxsssqqquuu}}}fffeeefffkkkooosss{{{~~~ooogggfff------------............------...////////////000000000000///000111111222///000111111111000///...000000111111111222222222111111222111111111222333888;;;>>>AAAEEEMMMWWW___jjjpppwwwzzzzzzwwwsssqqqqqqwww~~~~~~yyyuuurrrooommmhhh```ZZZVVVUUUVVVWWWWWW]]]eeennnwww~~~{{{wwwpppoooqqqtttyyy}}}|||zzzwwwsssoookkkiiifffeeedddddddddeeeffffffffffffeeefffgggiiikkkmmmpppppppppqqqqqqqqqqqqqqqmmmnnnpppooommmkkkkkkkkklllmmmooonnnllljjjiiijjjiiikkkmmmpppqqqrrrrrrrrrttttttsssppplllhhhffffffeeegggiiikkkkkkhhhdddbbbaaaeeekkkqqqxxx~~~|||xxxxxxuuuqqqnnnpppuuuyyy~~~zzzsssqqquuuyyyyyywww{{{}}}yyylll]]]NNNEEEBBBAAAHHHHHHJJJLLLOOOQQQRRRRRRNNNJJJDDD@@@===:::888666444444222111000000000000////////////////////////000000000000000000000000+++,,,---............---........................//////000000000/////////000///............//////............////////////........................////////////////////////////////////000000000000000000000000000000000000000000111111111111000000000000000000000111111111//////000000111111111111222222111111000000//////000000000000000000000000111111222222222222111111111000000000111111111000222222222222222222222222333333333333333333333333444444444444444444333333666555555555666777888888777;;;AAAEEEIIILLLOOOQQQTTTTTTXXX```iiioooqqqssstttnnnjjjiiiiiiiiilllrrrsssvvvvvvrrrkkkiiilllpppuuuyyy~~~~~~zzzuuusssmmmkkkddd\\\ZZZ___ddddddgggiiimmmqqquuuzzzyyywwwwww}}}|||www~~~xxxuuupppoooppprrrssssssrrrrrrqqqpppooottt}}}}}}tttooolllmmmrrrvvvxxx|||{{{vvvsssnnniiiccc^^^[[[ZZZYYYXXX\\\___dddkkkrrrzzz~~~zzzuuuqqquuu|||~~~yyycccbbbbbbeeelllxxx{{{qqqmmm---------.........//////...------...///000000000000000000000000111222222+++,,,...000111111000///111111111111222222222222000222333222111222444777:::???FFFLLLRRRZZZdddkkkqqqsssvvvwwwvvvsssrrrsssyyy}}}~~~wwwqqqmmmjjjhhhfffbbb^^^YYYTTTRRRTTTXXX\\\```iiiuuu~~~yyywwwsssnnnnnnpppwww{{{~~~||||||wwwwwwwwwvvvssspppmmmkkkdddccccccbbbbbbbbbdddeeeeeeeeefffgggjjjnnnqqqsssuuuuuuuuuuuuvvvvvvwwwwwwvvvxxxzzzzzzyyywwwvvvvvvuuuuuuuuussspppmmmllllllppppppqqqqqqqqqqqqpppooopppqqqrrrppplllhhhgggggghhhjjjlllmmmmmmkkkhhhfffccceeehhhlllrrr{{{{{{rrrnnnoooqqqttt}}}}}}vvvsssuuuwwwuuusss{{{zzzuuukkk___SSSKKKGGGGGGFFFGGGIIIJJJLLLNNNPPPQQQSSSOOOIIIDDD@@@===999666666555444222111111000000////////////////////////////////////////////////------...////////////...........................------.../////////...---//////............//////............////////////........................////////////////////////////////////000000000000////////////////////////000000000111111000000000//////000000111111111111111111111111000000//////222222111111000000//////111111111111111111111111111111222222222222111111000000111000000000000000222222222222222222222333333333333333333333333333444444444444444444444444777777666666666666777777;;;???DDDGGGJJJLLLNNNPPPXXX[[[aaagggooouuuxxxxxxuuuoookkkkkkjjjiiimmmrrruuuuuuvvvuuuuuuvvvxxxyyy|||~~~~~~zzztttmmmhhheee```bbbbbbbbbgggpppvvvwwwsssttttttvvvyyy~~~wwwnnnmmmooovvv~~~zzzsssqqqyyy~~~|||zzzyyyxxxvvvsssqqqrrrsssssssssuuu|||zzzvvvtttvvvvvvvvvzzzyyytttnnniiifffcccaaa___ZZZ\\\aaagggpppzzz|||xxxyyy||||||wwwqqqgggeeebbbcccmmm{{{ttt------......///000000000000///---...///000000///000000000000000111111222***+++---///111111111111111111111222222222222333000222444444333444888<<>>@@@AAAFFFHHHJJJKKKLLLMMMPPPSSS```lllwwwxxxwwwyyyzzzyyyxxxssspppppppppooorrrwww}}}zzzqqqooollliiihhhlllrrrwww{{{vvvpppuuu}}}}}}{{{yyyzzz~~~~~~zzzvvvpppppppppppppppqqqsssttt~~~{{{xxx{{{~~~~~~~~~}}}}}}~~~|||yyyvvvsssuuuvvvvvvvvvxxx|||~~~||||||yyytttvvv~~~xxx...//////000111222222333555222///...000111000//////////////////000000111000000000000000111111111111111222222222333333333///333666666555888>>>DDDMMMZZZlllzzz~~~{{{yyyuuusssuuu{{{}}}}}}~~~zzzyyyzzz||||||sssddddddeeeggggggeee```]]]XXX[[[___dddjjjuuu~~~{{{yyyvvvssstttvvvvvvrrrrrrtttuuuvvvwwwwwwvvvuuuwwwxxxyyy}}}{{{sssuuuvvvvvvuuuvvvyyy}}}{{{}}}~~~yyyvvvtttuuuuuusssnnnjjjfffffffffeeegggjjjooossswwwyyy{{{yyyvvvrrrpppssswww|||~~~vvvxxx||||||xxxyyy|||xxxtttrrrnnngggaaaQQQRRRRRRPPPMMMLLLOOORRRRRRRRRSSSTTTTTTPPPJJJEEE<<<;;;999777555333333222000000000000000000000000000000000000000000000000...---,,,++++++---///000...........................000222333444333222111...............///000111............/////////000000000000000000000000000////////////////////////////////////000000000000//////////////////////////////000000000000//////...//////000111222222222/////////000111111222222//////000000111111222222111111111111111111111111111111222222222222111111000222444333000///111333222222222333333444444444444444444444444444444444444444444555555555666666333444777:::>>>BBBFFFHHHIIIJJJLLLLLLMMMOOOSSSVVVcccrrr~~~}}}yyyyyyyyyxxxxxxssspppqqqqqqqqqsssxxx{{{tttrrrgggjjjnnnrrruuuxxx{{{~~~uuupppxxxuuuwww{{{~~~}}}||||||{{{|||{{{xxxvvvwww}}}}}}|||}}}~~~}}}}}}{{{|||}}}}}}|||yyy000000000000000000000000000000////////////000000000000000000000000000000111111111000000000000000111111111111333333111000222444666777999>>>EEELLL^^^lllzzzzzzxxxyyy{{{~~~}}}zzz}}}sssiii]]]^^^`````````aaaccceeeaaahhhpppxxx~~~}}}{{{yyyxxxwwwwwwrrrqqqpppqqqsssssssssrrrsssvvvzzz{{{|||~~~}}}{{{zzz{{{}}}zzztttooolllmmmnnnlllnnnrrrxxx}}}|||yyyxxxyyyzzz|||~~~wwwuuuyyy|||{{{xxxyyy{{{zzzwwwwww~~~zzzvvvqqqlllhhh]]]aaaccc]]]RRRLLLMMMRRRPPPUUUVVVQQQPPPRRROOOIII@@@???===;;;888666555444111111222222111000///...111000///...---,,,,,,,,,......////////////..........................................//////////////////000000///...------000///...------...///000111000///......///000111000000000000000000000000000000000000000000000000......//////000000111111222111111111000000//////000000000000000000000000222111111111000000//////111111222333333333333222222222222111111111000000111111222222222333333333111111000000000000111111000111222333444333222222333333333222222111111111222555777777555444555666::::::;;;===@@@DDDGGGIIIKKKLLLNNNQQQTTTXXX[[[]]]iiipppwwwzzzwwwtttssstttqqqsssvvvxxxzzz|||zzzqqqllliiiooolllooovvvyyy{{{xxxtttuuuttttttrrrsss{{{}}}zzzzzzyyy~~~{{{|||}}}zzz|||~~~~~~|||000000000000000000000000000000////////////000000000000000000000000000000000000000000111111111111111111111222333333222111444666888999;;;CCCMMMUUUeeeqqq|||~~~zzz{{{~~~|||uuuiiiaaa[[[\\\^^^___```ccchhhlllqqqwww|||{{{yyyvvvtttrrrqqqppppppooopppsssvvvwwwwwwvvv|||~~~~~~|||{{{{{{}}}|||wwwuuuuuuvvvxxxyyy{{{~~~zzzyyyyyyzzzwww{{{yyytttsssqqqlllgggmmmrrr|||~~~{{{{{{|||zzzxxxuuuqqqnnnjjjlllmmmggg]]]TTTQQQPPPPPPSSSSSSQQQQQQTTTRRRMMMEEEDDDAAA>>>;;;:::999888444444333222222111000000111111000///..................////////////..........................................///////////////////////////...------//////............//////...---,,,,,,,,,,,,---...000000000000000000000000000000000000000000000000.../////////000000000111111111111111000000000///111111111111111111111111000000000000/////////...000111111222222222222222333222222222222111111111111111222222222333333333111111000000000000111111111111222333333333333333444444444444333333222222333444666777777888999999999:::<<<@@@DDDHHHLLLNNNPPPQQQSSSVVV[[[___bbbeeennnssswwwwwwssspppooopppoootttzzz~~~|||tttooommmnnnpppqqqooopppuuuxxxzzz{{{yyyzzzvvvvvvuuuvvv~~~|||yyysssqqqsssuuu}}}xxxuuuuuuzzz~~~~~~}}}000000000000000000000000111000000//////000000111000000000000000000000000///000000000111222222222111111222222333333333444777888:::;;;@@@JJJWWWaaaooowww}}}~~~}}}~~~~~~}}}~~~ssshhh___[[[XXXZZZ]]]aaaeeelllsssxxx}}}uuuuuuttttttssssssrrrrrrtttuuuwww{{{~~~}}}{{{{{{}}}|||zzzzzzzzz}}}}}}}}}~~~}}}vvvrrrqqqrrrrrrvvvzzz}}}~~~~~~yyyrrriiibbbccciiiuuu}}}{{{zzzzzzzzzzzzwwwuuuwwwwwwwwwtttkkk```UUUOOONNNPPPOOONNNQQQUUUUUURRRLLLJJJFFFCCC@@@>>>>>>>>>888777555333222111111222111111000000000000000111...//////000000//////.......................................///////////////////////////......---......////////////......000000////////////000000000000000000000000000000000000000000000000000000////////////000000000000111111111111000000000000111111111111111111111111000////////////.........///000111111222222111111333333333333222222222222111111222222222333333333111111000000000000111111222222222222222333444444555555555555444444444444444333444666999<<<<<<<<<999<<<@@@EEEKKKQQQVVVXXXYYYZZZ\\\___ccchhhlllnnntttvvvvvvsssooolllmmmoooqqqwwwzzztttppppppsssvvvxxxuuussssssuuuwww{{{~~~~~~wwwxxxxxxzzz~~~vvvlllfffeeefffrrrvvv{{{~~~}}}|||vvvttttttxxx~~~000000000000000000000000111000000000000000000111000000000000000000000000//////000111222222333333111222333333333444555777888:::===@@@GGGSSSaaakkkvvvzzz}}}}}}|||~~~|||}}}{{{ttthhh___ZZZZZZXXX]]]dddkkkrrrzzz~~~|||{{{zzzzzzrrrtttvvvzzz}}}}}}||||||}}}~~~|||||||||~~~}}}|||{{{{{{}}}wwwooojjjiiijjjppptttxxx{{{|||~~~|||~~~tttmmmeeehhhooowwwyyyyyy|||xxxwwwwwwyyy{{{|||{{{zzz{{{{{{{{{{{{wwwlll]]]RRROOOMMMKKKKKKOOOTTTUUUTTTRRROOOKKKGGGDDDBBBBBBBBB<<<:::777444222111111222111000000000000111111222//////000000000000//////....................................////////////...///////////////......---...///000000///...---111111111111111111111111////////////////////////////////////////////////////////////000000000000111111111000000000000000111111111111111111111111000000000000000///////////////000111111111111000444444444333333333222222111111222222222333333333222111111000000111111222333333222111222333444555555444444444444444444444444333333555999<<<===<<<;;;???FFFNNNWWW^^^cccfffeeeeeefffhhhkkkooorrrtttvvvvvvtttpppmmmmmmqqqtttyyy}}}}}}zzzyyysssuuuyyy~~~|||xxxxxxyyy{{{}}}vvvyyy{{{|||~~~~~~yyyooogggbbb```bbbgggoooyyy}}}zzz|||zzzyyy{{{111111111111111111111111111111000000000000111111111111111111111111111111///000000111222333333444111222444444333444777:::999===CCCIIIPPP\\\iiirrryyyzzz|||~~~~~~~~~{{{xxxlllnnnnnnggg___ZZZ[[[^^^```gggrrr}}}zzzzzzzzzyyyyyy{{{}}}~~~|||~~~~~~~~~~~~}}}{{{zzzzzz{{{|||zzzppphhheeeeeefffkkkooosssuuuuuuwww{{{}}}yyyzzz~~~~~~xxxooollllllmmmlllnnnvvv|||uuutttuuuxxx{{{}}}|||{{{|||{{{|||yyyjjj___RRRLLLGGGHHHLLLPPPSSSSSSTTTQQQNNNJJJGGGFFFEEEEEE???===999555333111111111000000000///000000111111//////000000000000//////////////////////////////............////////////......///////////////...---...///000000///...---........................////////////////////////////////////////////////000000000000////////////000000000000000000111111111111111111111111111111111111111111111111111111//////000111111111111000444444444333333333222222111111222222222333333333222222111111111111222222444333222111222333555666333333333333333444444444444444444666999<<<===>>>BBBGGGPPPZZZdddlllrrruuuqqqpppooonnnoooqqqtttuuuuuutttrrrpppqqqtttyyy}}}|||wwwsssrrrrrruuu|||}}}yyy~~~{{{xxxxxxvvvxxx}}}zzzuuuyyy~~~~~~vvvnnnhhhfffcccaaaccckkkvvv}}}zzz{{{}}}111111111111111111111111222111111000000111111222111111111111111111111111000111111111222333333333111333555555333555999===>>>DDDNNNWWW___gggooouuuyyyyyy|||~~~zzztttppp^^^``````]]][[[^^^eeelllrrrzzz~~~~~~}}}|||{{{tttvvvyyy{{{~~~~~~~~~xxxsssllleeeaaa```bbbcccgggjjjmmmmmmlllmmmqqquuuzzz}}}|||zzzzzz|||}}}{{{uuuoookkkggggggoooxxx~~~xxxrrrrrrssswww{{{~~~~~~~~~}}}}}}wwwnnnZZZPPPGGGGGGKKKMMMOOOQQQSSSRRRPPPMMMKKKIIIHHHGGGCCC@@@===999555333222111111111000000000000000111///000000111111000000///////////////////////////............////////////---...//////////////////......////////////......//////000000000000//////000000000000000000000000000000000000000000000000000000000000////////////000000000000111111111111222222222222222222222222111111222222222222222333///000111111222222111111333333333333222222222222111111222222222333333333222222111111111111222222333333333333333444444555333333333333333444444444444666888999;;;>>>BBBFFFPPPUUU^^^hhhqqqxxx|||~~~zzzxxxuuusssrrrrrrtttuuuvvvuuuuuuuuuxxx}}}}}}vvvqqqpppsssuuu~~~~~~yyytttnnnjjjkkkqqqsssxxx~~~{{{www~~~yyyyyy{{{vvvsssqqqvvvmmmccc```gggsss}}}|||{{{{{{{{{111111111111111111111111222111111000000111111222111111111111111111111111222222222222222222222222111333666555333555:::???DDDNNN\\\hhhnnnsssvvvyyyyyyyyy}}}}}}xxxsssnnniiifffYYYZZZ[[[]]]cccnnn||||||wwwvvvwwwxxxxxxxxxuuuyyy}}}~~~zzzwwwnnnkkkgggdddcccdddfffhhhlllmmmnnnkkkhhhhhhlllooossstttxxx{{{~~~~~~~~~}}}{{{{{{vvvooojjjmmmsss}}}yyyrrroooppprrrwww}}}~~~~~~xxxdddVVVJJJHHHJJJKKKLLLNNNRRRRRRRRRQQQOOOMMMKKKIIIFFFDDDBBB>>>:::666333222444333222111111111111111000000111111111111000000////////////////////////............////////////------.../////////////////////............//////111222333333333333222111000000000000000000000000000000000000000000000000111000000000/////////...///000000000111111111111222222222222222222222222000000111111222222222222000111111222222222222222333222222222222111111111111111222222222333333333333222222111111222222333222333333444555444444444333444444444555555555555444999>>>@@@@@@DDDLLLSSS```eeellluuu|||}}}yyyvvvttttttuuuvvv|||{{{{{{|||~~~yyyuuussswww~~~vvvqqqnnniiijjjpppuuuxxx|||~~~|||www{{{~~~}}}~~~uuujjjdddhhhrrr{{{~~~}}}111111111111111111111111222222111111111111222222111111111111111111111111333333222222222222222222111444666555444555;;;@@@IIIUUUfffsssyyy{{{{{{{{{zzzzzz~~~}}}tttlllgggccc```^^^\\\\\\^^^cccooowwwsssppppppsssvvvwwwwwwxxx}}}|||xxxvvvuuuwwwzzz|||}}}wwwuuuvvvrrrpppnnnmmmmmmooorrrttttttuuusssooojjjiiilllpppnnnooorrrxxx~~~yyy|||zzzqqqooorrrwwwwwwlllmmmnnnrrrxxx~~~~~~~~~zzzjjj[[[MMMJJJKKKJJJJJJMMMRRRSSSSSSSSSRRROOOMMMKKKIIIGGGEEEAAA===999555333666555444333222111111111000000111111111111000000000000000000000000000000............/////////000------...///000000//////000///...------...///000...///000111111000///...000000000000000000000000000000000000000000000000111111000000/////////...//////000000111111111222222222222222222222222222//////000000111111111222111111222333333333333222222222222111111111000000111111222222222333333333333222222111111222222333222333444555666555444333444555555555666666777777444;;;CCCEEEDDDIIITTT]]]kkkooovvv}}}{{{wwwuuuuuuwwwxxx{{{yyywwwvvvxxxwwwnnnoooooommmrrr}}}{{{~~~~~~{{{zzz{{{{{{kkkdddjjjrrr}}}000000000000////////////000000000000000000000000000111222333333222000000---///111222111000111222555444444555999>>>CCCEEEYYYeeessszzzyyyxxx{{{{{{{{{}}}zzzwwwppphhhaaa]]]\\\]]]___cccjjjtttzzzvvvttttttrrrrrrtttuuuwwwyyy{{{|||~~~}}}xxxqqqnnnnnnoooooonnnsssssstttuuutttsssqqqpppttttttuuuvvvxxxzzz{{{|||{{{zzzyyyvvvssspppmmmlllnnnoooqqqvvv{{{~~~~~~}}}zzzzzzzzzyyywwwxxxzzz}}}~~~~~~yyytttqqqpppqqqvvv}}}~~~~~~yyyiii```UUUMMMJJJJJJKKKJJJKKKRRRTTTQQQPPPRRRQQQLLLMMMKKKIIIFFFCCC===666222111000///000111222111///000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000........................111111000000//////......//////000111111111111111111111000000//////......111000///......///000111111111111111111111111111111111222333333333333222333333333222222111111111000//////000333555666555//////000111222333333333333333333333333333333333333222111000000222444555222222333444555555555555777888999777555666999===777???EEEFFFEEELLL[[[hhhwwwzzz~~~}}}{{{vvvuuuzzz~~~}}}}}}wwwuuuxxxzzz{{{xxxuuurrroooooottt|||zzzxxxxxxyyy|||~~~zzzyyy{{{wwwrrrtttxxx~~~yyy|||111111111111111000000000111111111111111111111111000111222222222222111000///111222333222222333444333555777999<<>>CCCHHHJJJKKKSSSaaalll{{{}}}zzzzzzyyywwwuuuxxx}}}}}}{{{|||wwwuuuyyy|||~~~~~~zzzyyyyyy|||zzzuuuxxxzzz||||||}}}~~~}}}}}}|||~~~~~~~~~~~~~~~}}}~~~~~~}}}vvvzzz{{{xxxyyy~~~||||||~~~sssnnnsss{{{111111111111111222222222222222222222222222222222000111111222222222111111000222444444333333555666444999===@@@CCCMMM[[[fffssswww}}}~~~~~~~~~~~~zzztttoookkkbbbXXXTTTZZZgggrrr~~~|||{{{yyyxxxyyy{{{~~~~~~xxxqqqmmmooossswww|||~~~|||zzzwwwsssqqqjjjlllpppxxxzzzwwwssspppmmmjjjgggdddbbbbbbbbbbbbeeehhhkkkmmmrrruuuyyy}}}~~~}}}|||{{{uuuuuuwww{{{~~~~~~|||uuuuuuuuuqqqlllhhheeeeeeffflllvvvwwwuuurrrrrruuuzzz~~~{{{uuulllddd\\\UUUPPPLLLHHHMMMPPPQQQSSSTTTSSSOOOKKKJJJIIIIIIHHHDDD???;;;555333222222333444333222000000000000000000000000000000000000000000000000////////////////////////000000000000000000000000000000000000000000000000000000000000//////////////////000111111111111111111000000000000/////////333222111111111111222333111111111111111111111111111111222333333333333222333333333222222222222111111///...///000222222111111111111222222222222222222222222222222222222222333222111111111222444555555555555666666666666666777888999999999:::===@@@BBBEEEHHHLLLQQQZZZgggppp|||yyyuuuttttttuuuxxx}}}}}}{{{yyyyyy~~~xxxrrrppppppzzz}}}~~~}}}yyyvvvwwwyyy{{{}}}}}}~~~|||wwwvvv||||||}}}rrreeebbbjjjwww000000111111111111111222222222222222222222222222000111111111222222222222111222444444333444666888999<<>>BBBEEEGGGGGGMMMOOOSSS[[[eeeqqq{{{|||vvvppplllkkkmmmooosssyyy|||~~~~~~{{{~~~tttlllhhhkkkqqqyyy{{{~~~|||yyyxxxxxxxxxrrrsssxxx|||{{{wwwwwwzzz~~~~~~{{{}}}sssfff^^^^^^```.........///000000111111222222222222222222222222000000000000111222333444111222333333333444777:::;;;@@@LLLaaayyy}}}{{{|||~~~nnnbbb\\\ZZZWWW[[[aaakkkyyy}}}~~~|||yyywwwuuuzzz~~~}}}~~~|||zzzwwwuuutttrrrooommmlllnnnppprrrssstttwwwyyy}}}wwwqqqvvvxxx{{{|||yyywwwuuutttssssssrrrrrrrrrrrrssssssmmmjjjgggeeefffjjjooorrrrrrsssuuuwww{{{{{{uuupppqqqrrrrrrooojjjddd```^^^aaaeeesss|||vvvvvvxxxtttyyy{{{{{{~~~~~~~~~}}}xxxtttrrrqqqcccZZZQQQNNNNNNMMMNNNPPPSSSSSSRRRSSSRRROOOJJJGGG>>>;;;777444333333222111000000000000000000000000000000000000000000000000........................000000000000000000000000////////////////////////////////////000000000000//////000111111111111111000000000111111111111222222222333444444333222222111111111111111111111111111111222333333333333222111222222222222333333333444333111111222333222222222222222333333333333333222222222333333444444555333333333333444444444444555444444444666888:::;;;======>>>BBBGGGKKKLLLLLLMMMQQQWWW___iiirrrzzz~~~xxxpppkkkiiijjjlllpppvvv{{{~~~~~~~~~tttmmmiiigggnnnwwwxxxssspppooonnnnnnjjjlllqqquuutttqqqrrrwwwzzz|||}}}|||{{{{{{|||}}}yyyyyy{{{}}}~~~{{{xxxxxx~~~||||||}}}}}}}}}~~~~~~~~~zzzpppfff```^^^...//////000111111222222111111111111111111111111111000000000000222333444333444444444444666999<<>>@@@DDDDDDFFFKKKQQQUUUVVVUUUQQQWWW___ffflllqqqwww{{{}}}vvvnnnjjjlllooorrrwww|||vvvkkkjjjlllmmmttt|||yyywwwtttqqqooolllnnnrrrvvvuuusssvvv}}}}}}||||||}}}}}}|||yyyvvvttt{{{~~~~~~~~~~~~yyyyyyzzz}}}}}}~~~~~~{{{vvvpppkkkiii///000000111222222333333000000000000000000000000111000000000000222444555555555666555555888;;;>>>HHHUUUjjj~~~}}}vvvlllaaaZZZXXXYYYiiiqqq{{{yyyxxxxxxyyy|||}}}{{{{{{|||~~~}}}|||yyyxxxyyyyyyvvvtttyyy~~~~~~{{{~~~}}}zzzyyywwwuuusssqqqrrrssssssyyyyyyyyyzzz|||~~~|||wwwrrrxxxxxxvvvrrrkkkfffbbbaaadddfffrrryyysssjjjooouuuxxxzzz~~~nnn[[[QQQMMMKKKOOOTTTQQQRRRSSSUUUWWWVVVSSSPPPHHHDDD>>>:::777666444333000000000000000000000000000000000000000000000000........................000000000000000000000000111111111111111111111111.../////////000000111111//////000111111111111111000000111111222222222222000111222333333222111000111111111111111111111111111111222333333333333222111111111222222333333333111000...///111222222111111111222333333444555555333333444444555666777777222333444444555555444444777666777888:::>>>AAACCCLLLLLLNNNSSSZZZ^^^___^^^[[[bbbkkkqqqtttvvvzzz~~~~~~vvvnnnlllooossszzz~~~|||nnnggglllqqqsss{{{zzzwwwzzz|||wwwssstttxxx{{{zzzyyy~~~}}}zzzxxxzzz~~~{{{wwwvvvxxx{{{}}}~~~~~~|||yyywwwuuuttt111111000000000000111111000111111111111222222222111111111111222333444555444555777666777:::@@@EEEPPP___tttuuurrrlllccc[[[[[[bbbiii|||~~~vvvxxx{{{}}}~~~~~~|||zzzzzz}}}~~~~~~}}}}}}|||}}}}}}~~~~~~}}}|||~~~}}}|||||||||zzzvvvrrrooojjjggg___bbblllsssooolllkkkooouuu~~~ppp]]]OOOIIIJJJNNNSSSSSSUUUWWWXXXWWWSSSPPPKKKGGGAAA===:::777444222---///000111222222111111111000///---+++)))''''''///////////////000111111000000000000000000000000////////////////////////000000000000000000000000///...------...000333555222222222222222222222222111111000000000000000111000111111111111222222222111111222222222333333333222222444444444444222222333333333222222111111111222222333444444444333333333333444444444444444444666666555555555666777777333555777999;;;???DDDGGGLLLNNNRRR[[[eeemmmqqqqqqlllmmmpppuuuzzz~~~}}}|||yyytttoooooossswwwzzzpppooopppuuu}}}{{{yyyzzzyyyxxxwwwqqqooottt|||}}}{{{{{{||||||zzz||||||zzzzzzyyyyyy}}}yyyyyy}}}~~~}}}|||yyyvvvuuuyyy|||yyy111111000000000000111111111111111111222222222222111111111111222333444555444666888777777<<>>BBBGGGJJJMMMPPPVVV```llltttyyyzzzxxxwwwxxxyyy|||}}}}}}||||||uuuooooootttyyy{{{tttvvvuuuuuuyyyzzzwwwxxxzzzzzzyyyxxxrrrooouuu~~~~~~~~~~~~~~~~~~}}}vvvvvvxxx{{{|||xxx111111000000000000111111111111111111222222222333111111111222222333444555444777999999999@@@MMMXXXgggqqq~~~~~~xxxsssrrrggg[[[WWW```ooo~~~~~~{{{zzz{{{|||~~~|||vvvooojjjfffcccbbbiiivvv|||zzzzzztttppppppxxx{{{zzz~~~vvvgggYYYOOOJJJMMMNNNQQQUUUXXXXXXUUURRRKKKIIIFFFCCC@@@<<<666333000000111222222222111111111111111111222222222222///////////////000111111........................////////////////////////000000000000000000000000222222111000///......---000000000000000000000000111111111000000111111222000111111111111222222222333333444444444555555555444333333222222333333444555555444444444444333333555444333111111111222222000111222333555666777777555555444444555666777777666999===@@@CCCGGGKKKNNNNNNSSS\\\iiivvv~~~~~~~~~|||{{{~~~vvvppppppvvv|||}}}{{{xxxwwwwwwzzzyyywwwyyy|||~~~yyyxxxyyy{{{{{{zzzxxxrrrpppvvv|||wwwtttuuuzzz}}}www111111000000000000111111111111111222222222333333222222222222333444555555444888;;;;;;===FFFVVVdddttt{{{zzztttpppooodddZZZ]]]lll~~~|||zzzzzz|||xxxoooiiieeebbb___bbbjjjqqquuuvvvrrrtttuuuvvvvvvxxx{{{}}}wwwwwwuuuuuu{{{|||xxxuuu{{{}}}}}}~~~qqqbbbTTTKKKLLLMMMPPPUUUYYYZZZXXXVVVLLLKKKIIIGGGDDD???999555222222222222222222111111/////////000000111111111///////////////000000111////////////////////////////////////////////////000000000000000000000000222222222222111///...---//////000000000000000111000000/////////000111111000000111111111222222222333333333333444444444444444444222222222222444444444444444444444333333333555444111///...///000111222222333333444555666666444444444555666777999999<<>>DDDFFFHHHJJJJJJLLLNNNPPPRRR[[[jjjxxx~~~{{{yyyxxxwwwvvvrrruuuyyyyyyxxxxxx{{{~~~~~~~~~xxxuuuuuuuuuvvvyyy}}}{{{{{{|||~~~zzzzzz{{{~~~|||{{{zzz|||~~~}}}{{{}}}~~~~~~}}}{{{zzzxxxzzzyyyzzz}}}}}}~~~yyyuuurrrooonnnooorrryyy}}}111111000000000000111111222222222222333333333333222222222222333444555666666:::@@@HHHRRR___nnnxxx{{{vvvoooiiiddd[[[]]]eeessszzzwwwuuuwwwzzz~~~}}}tttmmmbbbbbbbbbccccccbbb___\\\ZZZZZZZZZYYYYYY\\\```dddhhhnnnrrrvvv}}}~~~{{{wwwvvvxxxtttwww|||vvvhhhXXXMMMKKKJJJIIIKKKOOORRRSSSSSSQQQPPPNNNMMMJJJFFF@@@;;;666555444333222222222222222222111111000////////////////////////000111111111111111111111111111111000000000000000000000000000000000000000000000000000000000111111222222222///000000111111222222222............///000111111000111111111111222222222111111111222222222333333444333333222222333333444111111222222222222333333333222111/////////000000666555555444444333222222444555666999<<<@@@BBBDDDKKKLLLLLLLLLLLLMMMPPPSSSWWWaaappp~~~zzztttrrrqqqpppooommmsss{{{~~~~~~|||sssmmmmmmnnnuuuyyyxxxvvvwwwyyyrrrsssxxxxxxsssrrrsssuuuvvvwww{{{}}}vvvmmmfffbbbbbbbbbcccaaa``````cccdddcccgggmmmooorrruuuuuuuuuuuuvvvwwwyyy||||||yyyrrrpppnnnnnnrrrxxx111111000000000000111111222222222333333333444444333333222333333444555666999===EEEQQQ___nnnzzz{{{xxxxxxwwwtttnnnhhhdddcccbbbiiisss|||~~~{{{wwwuuutttvvvyyy~~~|||~~~{{{uuummmllljjjhhhddd```\\\YYYXXXXXXVVVTTTTTTVVV[[[___dddjjjpppuuu}}}}}}}}}zzztttrrruuuqqquuu{{{~~~xxxmmm```WWWOOOMMMJJJIIILLLPPPSSSTTTTTTRRRPPPNNNLLLHHHCCC???888777555333222111222222111111111111000000000000///////////////000111111000000000000000000000000000000000000000000000000000000000000000000000000111111000000000111222333......//////000111111222/////////000000111222333000111111111111222222222222222222333333333444444222333333444444333333222222222222333333333444444333333333333333333222222444444444444444444333333444555888<<<@@@DDDHHHJJJNNNNNNMMMLLLLLLOOOTTTWWW]]]gggwww~~~yyyrrrnnnllllllmmmmmmuuu|||vvvnnnkkkmmmqqq{{{~~~uuuqqqrrrtttssstttxxxuuurrrooonnnqqqtttwwwyyyzzzzzzuuurrrsssrrrnnnlllmmm^^^ZZZUUUPPPMMMLLLKKKKKKJJJHHHHHHKKKLLLJJJLLLPPPSSSTTTWWWXXXWWWUUUVVVXXXZZZ___cccfffhhhmmmuuu{{{{{{}}}{{{wwwvvvwww{{{~~~{{{111111000000000000111111222222333333333444444444333333333333444555666666<<>>;;;888666555444333222111000000000000000111111111111111111000000//////111111000000000000111111//////000111222333333444222111000//////000111222111111111111111111111111333333333333333222111000222111000000000000000111111111222333333444555555222333444444555555444444444444444555555555555666555444444333333444444555333333333333333333333333555444333333555666777666888:::>>>CCCGGGIIIKKKKKKKKKLLLMMMMMMNNNSSS[[[aaaooosss{{{~~~xxxsssmmmhhhdddeeeppp||||||yyyyyy|||~~~}}}|||xxxvvvtttxxxwwwwwwzzzzzzwwwyyytttfff`````````[[[UUUWWWVVVTTTSSSRRRRRRSSSTTTOOONNNKKKJJJIIIGGGDDDBBBGGGEEEDDDDDDEEEFFFDDDCCCDDDCCCBBBAAABBBCCCDDDEEEAAAAAA@@@@@@BBBEEEHHHKKKPPPQQQTTTWWW[[[___aaaccchhhkkkooorrrvvv~~~~~~zzzvvvvvvxxx//////000000000111111111111111111222333333444444555222333666777888<<>>@@@CCCEEEAAABBBDDDFFFIIIKKKMMMNNNMMMQQQVVVZZZ^^^gggsss|||}}}|||{{{~~~000///.........///111222111111222222333333444444333333444777777999CCCNNN[[[iiixxx|||yyyzzz~~~~~~rrrkkkhhhggghhhbbb]]]cccqqq|||yyynnnnnnnnnpppuuuzzz}}}|||{{{{{{{{{}}}}}}tttkkkeeeccc```[[[VVVSSSRRRSSSTTTUUUWWWWWWXXXbbbrrr~~~uuurrrsssuuu||||||yyyyyyzzzwwwxxx{{{tttmmmccc[[[VVVTTTSSSRRRUUUUUUUUUVVVUUUQQQKKKGGGAAA>>>999666555444333222222111111000000000111111222222222222222111111111111111000000000000111111000000000000000000000000111111000000000000111111111111111111111111111111000000000000000/////////000000000000000111222333111111111111111111111111222222333444444444444444444444444555555555555666555444444333333444444555555555555555555555555555555555555555666888:::;;;===DDDLLLOOOMMMKKKKKKMMMOOOPPPQQQRRRWWW```mmmwww{{{}}}~~~{{{yyysssnnnjjjjjjmmmuuuyyyvvvwww{{{~~~~~~}}}}}}yyyvvvppplllfffcccbbbbbbbbbbbbaaa^^^```hhhoooqqqqqqrrrvvvwww}}}{{{uuuqqqmmmfff^^^XXXOOOMMMKKKLLLNNNQQQRRRQQQSSSUUUVVVXXXZZZ[[[\\\]]]]]][[[YYYXXXVVVSSSOOOLLLLLLKKKKKKLLLNNNOOONNNMMMMMMMMMLLLKKKJJJHHHFFFEEEBBBAAA???======>>>???@@@;;;;;;<<<>>>???@@@AAABBB>>>AAAEEEGGGKKKRRR[[[bbbqqqxxx||||||000///...------///111222111111222222333444444555333444777888777;;;JJJYYYiiixxx~~~zzzyyy}}}yyymmmfffbbb```___]]]aaaooo{{{uuurrriiikkknnnrrrwww}}}~~~}}}||||||}}}{{{tttoooiiieee```[[[WWWVVVVVVWWWXXXXXXWWWWWW\\\gggrrryyyzzzxxxyyy{{{|||yyyzzz}}}}}}yyyrrrlllfff___XXXTTTTTTTTTUUUVVVVVVSSSNNNJJJDDD@@@;;;777666555333222222222111111000000111111222222222222222222222222111111000000000000111111000000000///////////////111000000000000000000111111111111111111111111111111000000000000000000000//////000000111222333444222222222222111111111111222222333444444444444333444444444555555555555666555444444333333444444555666666666666666666666666444444555555666888<<<>>>>>>GGGQQQTTTQQQOOOQQQUUUWWWYYY\\\___ccclllwww~~~}}}yyyxxxuuuqqqooorrrvvv}}}}}}vvvtttvvv{{{~~~~~~{{{vvvpppllleeeaaa\\\XXXUUUSSSRRRRRRTTTQQQSSSZZZaaaeeejjjpppwwwyyyttthhhddd^^^ZZZXXXUUUQQQNNNHHHKKKMMMPPPQQQSSSVVVWWWVVVWWWZZZ]]]```aaaaaaaaaaaa```^^^]]]\\\ZZZVVVSSSRRRQQQQQQRRRUUUWWWVVVVVVSSSSSSTTTSSSRRRPPPMMMLLLIIIHHHEEECCCBBBAAAAAABBBAAAAAAAAAAAAAAAAAAAAAAAAAAABBBCCCBBBCCCEEEJJJNNNVVV\\\fffqqq{{{~~~{{{zzzzzzzzz}}}111000...---...///111333111222222333444444555555444555888:::999???QQQbbbwww~~~~~~~~~~~~qqqfff^^^ZZZXXXUUU]]]lllvvvpppmmmkkkmmmpppuuuyyy}}}}}}{{{tttqqqkkkeee```]]][[[ZZZXXXXXXWWWXXXZZZ```hhhppp~~~}}}}}}xxx|||}}}}}}~~~xxxkkk]]]TTTSSSSSSSSSTTTUUUTTTQQQNNNHHHDDD>>>999777666444333333333222111111111111111222222222222222222222222111111000000000000111111000000000///////////////000000000111111000000000000000000000000000000000111111000000000111111222000000000000111222444444333333333333333222222222111222333333444444333333444444444555555555555666555444444333333444444555666666666666666666666666222444555555555888===AAADDDLLLUUUWWWUUUTTTXXX\\\dddggglllooorrrvvv}}}{{{vvvssstttrrrtttzzz|||yyyxxx{{{~~~}}}zzzwwwssslllddd___WWWVVVTTTRRRNNNKKKJJJIIIMMMKKKLLLSSSZZZbbbnnnxxxxxxlllaaaZZZUUUSSSPPPNNNNNNOOOPPPPPPMMMPPPTTTWWWWWWWWWYYY[[[WWWYYY\\\___aaacccccccccaaa```^^^]]]]]]\\\ZZZXXXVVVUUUUUUWWWZZZ[[[[[[[[[VVVWWWXXXXXXWWWVVVTTTSSSPPPOOOLLLJJJHHHFFFFFFFFFGGGFFFFFFEEEDDDDDDCCCCCCDDDDDDBBBAAA??????@@@AAAEEEHHHMMMTTT\\\dddjjjmmmwww||||||xxxwwwuuuxxx111000/////////000222333222222333333444444555555555666:::===???HHH[[[mmm||||||}}}zzzpppfff]]]WWWTTTTTTVVVdddxxxvvvqqqoooqqqrrruuuxxx{{{~~~{{{tttnnnhhhcccaaaZZZXXXXXXZZZ[[[^^^fffppp~~~|||vvvxxx|||vvvcccVVVSSSRRRRRRSSSUUUUUUTTTSSSMMMHHHAAA;;;999777666555444333222111111111111111111111111222222222222222111111000000000000111111000000000000000000000000000000111111111111000000000000000000000000000000222111000///000111222333111111111111111222333444333333333333333333333333111111222333333333333333444444444555555555555666555444444333333444444555666666666666666666666666222444666666666999@@@EEENNNSSSXXXZZZYYY\\\aaagggrrrvvv{{{}}}}}}~~~wwwrrrqqqtttssswwwyyywwwsssnnniiibbbZZZUUUMMMNNNOOONNNKKKHHHHHHHHHKKKKKKNNNUUU[[[dddrrr~~~uuuhhh^^^UUUMMMHHHOOOOOONNNNNNOOOPPPRRRSSSRRRTTTWWWYYYZZZZZZ[[[[[[XXXZZZ\\\___bbbeeefffgggeeebbb___]]]]]]]]]]]]\\\ZZZZZZYYY[[[^^^______^^^ZZZZZZZZZZZZZZZYYYXXXWWWUUUSSSRRROOONNNLLLKKKKKKMMMMMMLLLKKKJJJJJJIIIIIIGGGFFFEEEDDDCCCBBBBBBAAABBBBBBCCCEEEIIINNNSSSVVV\\\cccmmmxxx~~~{{{uuuwww}}}111111111111222222222222222222333333444555555555555666:::@@@GGGSSSgggxxx{{{|||wwwpppdddZZZTTTTTTVVVYYYcccoooyyyvvvvvvwwwwwwyyy{{{}}}~~~xxxssspppeeebbb```___^^^___iiiuuuzzzyyyzzzmmm```UUUTTTRRRRRRUUUWWWXXXXXXPPPKKKDDD>>>:::999888777555444333222111111111111000000000111111111222222111111000000000000111111///000000000111222222222///000111222222111000///000000000000000000000000111000///......000111333222222222111111222333333111111222222333333444444111111222333333333333222444444444555555555555666555444444333333444444555555555555555555555555555444666888888888<<>>FFFMMMQQQQQQTTTZZZeeesss{{{uuuuuuzzz~~~}}}|||yyytttpppccc___ZZZUUUQQQNNNKKKIIIJJJJJJIIIFFFDDDEEEIIIMMMKKKPPPYYYaaabbbccckkkttt}}}~~~eee[[[OOOIIILLLQQQUUUWWWRRRTTTWWWYYYZZZZZZZZZ[[[YYYYYYZZZ^^^cccffffffeee```aaadddhhhmmmsssxxx{{{~~~yyyqqqllliiiiiijjjjjjkkkjjjiiijjjlllmmmmmmlllkkkiiifffdddaaa`````````]]]\\\[[[[[[YYYXXXXXXWWWTTTTTTTTTTTTSSSSSSSSSSSSQQQPPPNNNNNNMMMKKKIIIFFFHHHGGGGGGFFFEEECCCBBBAAACCCDDDGGGKKKRRR]]]iiippp}}}{{{xxxuuussstttzzz444222111///000222444666444333222333444666666666444<<>>BBBIIIVVViiivvv|||}}}qqqmmmfff______iiizzz~~~|||vvvuuuwww|||yyyyyy}}}ggg^^^TTTRRRVVV[[[\\\[[[WWWRRRLLLGGGCCC???<<<999<<<:::888666333111000///111111111111111111111111//////000000000000//////111111111111000000000///000000111222222111111111111111111111111111111111222111000000000111222333111111111111111111111111222222222222222222222222333333333222222222111111444444444444444444444444555444444444444555666666777777666555555555555666555777:::===@@@DDDJJJMMMUUUVVV[[[eeeqqq|||wwwrrrmmmmmmooosssyyy}}}{{{yyyoooddd[[[VVVUUUSSSNNNIIIEEEDDDCCCCCCEEEFFFGGGJJJNNNPPPPPPPPPRRRTTTZZZaaaccccccjjjsssvvv```YYYTTTWWW\\\^^^___aaa^^^]]]\\\]]]___```aaaaaaaaacccfffkkkqqqrrrpppmmmjjjmmmrrrvvvyyy}}}{{{{{{{{{yyyxxxyyy~~~}}}yyywwwxxxxxxtttpppnnnjjjgggeeeeeeccc```]]][[[\\\]]]]]]\\\[[[YYYWWWTTTSSSRRRPPPOOOOOOOOOOOOPPPNNNKKKJJJJJJIIIGGGFFFFFFCCC@@@>>>???AAAEEEHHHPPPVVVaaaooo}}}~~~000111222444444333222111222222222222444555777888>>>AAAFFFPPPaaarrrxxxvvv{{{}}}~~~~~~}}}~~~{{{tttllljjjgggfffjjjvvv~~~~~~lllaaaTTTPPPTTTZZZZZZWWWVVVRRRNNNJJJFFFBBB>>>;;;===<<<:::888666333222111111111111111111111111111111222222222222222222111111111111111000000000000...///000111111111111111111111111111111111111111111111000000111111222333111111111111111111111111222222222222222222222222222222222222111111111111444444444444444444444444444444444444444555666666888777666555555555555555555888===@@@CCCGGGKKKNNNSSSXXX___gggoooxxx|||rrrjjjeeeiiiooowww~~~~~~zzzwwwxxxzzz}}}|||ooobbbYYYSSSPPPMMMKKKHHHEEEDDDCCCDDDDDDEEEFFFIIIKKKNNNPPPRRRSSSUUUWWW^^^eeekkkpppyyyvvvjjj___ZZZZZZ```ddddddbbbbbbcccbbb```___```bbbeeefffgggjjjooouuuyyyzzzxxxuuuuuuxxx{{{~~~|||}}}~~~}}}zzzwwwuuuqqqmmmkkkiiihhhhhhcccccccccbbbaaa^^^\\\ZZZWWWVVVTTTSSSRRRQQQQQQQQQQQQOOOMMMLLLLLLLLLKKKJJJIIIHHHEEEBBBAAAAAABBBCCCBBBEEEJJJSSS___lllwww~~~}}}~~~111111222333333333333222444444444333333444777999???EEENNNZZZiiivvvyyyuuuuuuxxxzzzzzzxxx|||uuullleeeeeefffkkkuuuqqqdddUUUPPPUUUZZZZZZWWWUUURRRPPPMMMJJJFFFAAA>>>===<<<;;;999777555333222111111111111111111111111222222111111111111222222111111111000000000000000---...///000111222222222111111111111111111111111111111111111111222222222111111111111111111111111222222222222222222222222222222222222222222222222444444444444444444444444444444444444444555666777888888777666666666666666:::<<<@@@CCCGGGKKKPPPSSSWWW\\\bbbggglllttt{{{rrrkkkmmmrrrzzz||||||~~~yyy{{{wwwwwwzzz~~~ssseeeZZZRRROOOMMMIIIHHHFFFFFFFFFGGGHHHIIIHHHIIIKKKMMMOOOQQQTTTWWW[[[```iiittt~~~rrrhhhbbbccc``````eeehhhfffddddddjjjhhhfffcccbbbdddhhhkkknnnrrrxxx}}}}}}{{{}}}~~~}}}}}}{{{zzzwwwsssooooooqqqtttmmmlllkkkhhheeebbb___]]][[[[[[YYYXXXVVVUUUTTTTTTQQQOOOMMMMMMNNNNNNMMMLLLIIIIIIHHHGGGGGGFFFFFFFFFCCCCCCCCCFFFLLLTTT\\\aaahhhqqq|||~~~~~~333222111000000222444555666666666555333444888;;;???KKKZZZeeennnvvvyyywwwrrruuuwwwvvvvvv{{{{{{mmmccc___ccckkkuuu|||zzz|||~~~uuuhhhZZZTTTWWW[[[[[[YYYUUUSSSQQQOOOMMMJJJEEEAAA===<<<<<<:::888666444333111111111111111111111111000000///......///000000000000000000000000111111......///111222222222222111111111111111111111111000000111111222222222222111111111111111111111111222222222222222222222222444444444444444444444444444444444444444444444444333333333444444666777777999888888777777888888999===???BBBEEEIIIOOOUUUZZZ___aaadddeeegggqqq{{{wwwqqqmmmvvv|||zzzwwwyyy~~~xxxxxxvvvyyy~~~|||uuujjj^^^TTTMMMJJJIIIFFFFFFFFFGGGHHHJJJLLLMMMLLLMMMNNNOOOPPPTTTZZZ^^^dddlllzzzvvvhhhddddddfffbbbbbbfffhhhggghhhkkkrrrqqqoookkkhhhiiinnnrrryyy}}}}}}|||}}}}}}|||~~~~~~~~~~~~|||zzzyyywwwtttsssuuuyyy}}}yyywwwtttqqqmmmhhheeeccc``````^^^\\\ZZZXXXVVVUUUSSSQQQOOOOOOPPPQQQPPPOOOHHHHHHIIIIIIIIIIIIHHHGGGEEEDDDBBBAAABBBDDDGGGIIIOOOWWWdddttt444333000//////111444666555777888666555666<<<@@@GGGWWWgggooorrruuuwwwxxxqqqsssssstttuuu{{{pppddd^^^\\\dddrrrzzzuuuxxxzzzxxxyyy~~~zzzpppccc\\\ZZZ\\\\\\[[[UUUTTTRRRQQQPPPMMMIIIFFF=========<<<:::888555444222222222222222222222222333333111111111111333333000000000000111111111111///000111222222222222222111111111111111111111111000000111222222222222111111111111111111111111111222222222222222222222222444444444444555555555555444444444444444444444444333333333444555666777888999999999999999;;;<<<<<<@@@CCCGGGLLLPPPVVV]]]aaaddddddcccbbbdddnnn~~~xxxqqqnnnpppsss}}}{{{zzz~~~|||vvvuuuyyysssnnndddZZZPPPIIIEEECCCDDDEEEFFFGGGIIIKKKMMMNNNNNNOOOPPPPPPRRRYYYdddkkkrrr~~~rrriiihhhjjjfffbbbaaaeeehhhjjjpppvvvxxxyyywwwssspppqqqwww{{{~~~}}}{{{~~~~~~~~~|||}}}~~~~~~}}}|||xxxwwwuuuuuuwww{{{|||yyyuuuqqqooonnngggfffeeebbb___[[[XXXWWWWWWUUUSSSSSSTTTTTTSSSRRROOOOOOOOONNNNNNLLLKKKJJJHHHGGGFFFEEEDDDCCCCCCCCCEEEGGGNNNZZZjjj|||222222111111111222333444222555777777777:::AAAHHHVVVdddrrrvvvvvvvvvvvvuuusssrrrqqqrrrvvv|||vvvhhhbbbaaagggsss|||wwwwww{{{~~~zzzxxxyyy~~~yyynnnddd^^^[[[[[[[[[WWWUUUSSSRRRQQQOOOLLLJJJ>>>??????>>>===:::777666222222222222222222222222444333222111111222333444///000000000111111111111111222222333333333222222111111111111111111111111///000111222333222222111111111111111111111111111222222222222222222222222333333333444444555555555444444444444444444444444333333333444555666777888999999999:::<<<===???@@@DDDJJJRRRYYY___cccgggiiieeecccaaa```cccmmmzzz}}}qqqiiikkkvvv{{{zzz}}}xxxlllggg^^^TTTLLLGGGDDDCCCEEEFFFGGGIIIKKKMMMOOOOOONNNOOOPPPQQQUUU```ooozzzwwwpppmmmllllllgggddddddgggjjjmmmsss{{{vvvxxxyyywwwuuuwww}}}~~~}}}zzz~~~~~~}}}|||{{{zzzzzz{{{{{{{{{|||~~~~~~}}}||||||zzzwwwuuuwww|||}}}{{{yyywwwvvvvvvrrrqqqooolllhhhccc___]]]YYYWWWTTTTTTTTTTTTSSSRRRRRRRRRQQQQQQPPPOOONNNMMMLLLKKKJJJIIIHHHGGGFFFEEE@@@BBBEEEJJJTTTdddwww~~~000111222333444333222222///333666777888===FFFMMMbbbmmmxxxzzzyyywwwuuurrrtttrrrppprrrwww}}}ooodddeeeiii|||{{{{{{|||{{{|||vvvjjj```ZZZZZZ[[[WWWUUUSSSRRRQQQPPPNNNLLL???@@@AAA@@@???<<<999777222222222222222222222222...,,,+++******+++,,,...//////000000111111111222333333444444444333222222111111111111111111111111///000111222333222111111111111111111111111111111222222222222222222222222222222222333333444444444444444444444444444444444222333333444555666888888999999:::;;;===???AAABBBIIIQQQ\\\ffflllooopppqqqcccbbb``````dddlllwww~~~yyynnngggmmmxxxnnnfffaaaYYYPPPJJJGGGGGGGGGHHHIIIJJJLLLNNNPPPQQQRRRLLLMMMOOOQQQWWWeeewwwvvvooooooooommmkkkllliiihhhjjjlllmmmssszzzqqqtttwwwwwwvvvxxx~~~}}}|||}}}{{{yyy}}}~~~}}}|||{{{|||}}}}}}yyy|||~~~~~~}}}|||{{{zzz}}}yyyvvvyyy{{{zzzzzzyyyyyyyyyyyyzzz|||{{{yyyuuupppkkkgggdddXXXUUUSSSRRRSSSSSSQQQPPPLLLLLLLLLLLLLLLLLLMMMMMMMMMKKKIIIGGGFFFDDDDDDDDD:::@@@FFFGGGIIISSSdddrrr}}}|||222222222111222222333333666444555:::===AAANNN]]]pppvvv{{{|||xxxttttttuuuwwwtttwwwqqqeeefffsss~~~}}}{{{|||~~~~~~||||||rrrddd\\\WWWSSSTTTSSSRRRRRRSSSRRRPPPMMMKKKEEE>>><<<===>>><<<999444444222111000000//////111111111111111111111111///000222333333222000///000222555666555333222222111111222222222222111111000111111111111222222222222222222222222222222222333333333333333333333333333333333222222111111111333333333333333333333333555555666777777888888999::::::<<<>>>>>>@@@IIISSSZZZ```eeekkkrrrwwwtttmmmfffaaaaaagggmmmqqqvvv{{{xxxqqqjjjjjjppp~~~zzzrrrmmmddd[[[OOOGGGEEEGGGIIIJJJOOONNNNNNOOOPPPOOONNNLLLOOOMMMOOOXXXbbbqqq{{{rrrnnnnnnooommmkkkjjjjjjkkklllmmmnnnooopppnnnmmmmmmnnnqqqwww|||}}}|||zzzzzz{{{~~~|||vvvvvvzzz}}}~~~|||~~~~~~zzzzzz}}}~~~|||zzzxxxyyy}}}{{{yyyzzz|||~~~|||yyysssmmmhhh___^^^[[[XXXVVVUUUUUUUUURRRQQQPPPOOONNNNNNNNNNNNNNNMMMLLLKKKKKKJJJHHHFFFBBBCCCCCCBBBCCCIIISSSZZZjjjxxx}}}|||222222222222222333333444333222444;;;BBBKKK\\\kkkvvvzzz~~~~~~yyyuuutttuuu}}}xxxxxx~~~yyyiiiccciiiyyy}}}{{{zzz|||}}}xxxmmmfffaaa[[[]]]ZZZWWWUUUUUUTTTRRROOOMMMGGGAAA>>>@@@@@@>>><<<777666555333222111111111111111111111111111111111222111111111111111111222000222444444333222222222111111222222222222111111000111111111111222222222222222222222222222222222333333333333333333333333333333333222222222111111444444444444444444444444//////000111111222222333::::::===@@@BBBEEEQQQ\\\hhhmmmqqquuuyyy{{{vvvooofffeeehhhnnnrrrrrrvvv{{{uuunnnlllqqq|||}}}uuukkkcccYYYSSSJJJDDDDDDFFFIIIJJJMMMLLLKKKLLLMMMMMMMMMMMMQQQRRRZZZgggttt}}}wwwpppmmmnnnooommmjjjjjjkkklllmmmooopppqqqqqqmmmmmmllllllooossswwwzzz~~~~~~~~~~~~zzzyyyyyyyyy{{{~~~{{{zzz~~~~~~{{{{{{~~~}}}~~~||||||~~~}}}xxxrrrnnncccbbb```]]][[[YYYWWWWWWUUUTTTSSSQQQPPPOOOOOOOOOPPPOOONNNNNNNNNMMMKKKIIIGGGFFFDDDBBBAAADDDIIIMMMYYYfffttt~~~222222222222222333444555444333777???IIIXXXlll{{{|||wwwuuuvvv{{{yyy~~~|||lllaaabbbooo{{{{{{}}}~~~|||yyyssslllgggbbb[[[XXXWWWVVVSSSQQQPPPKKKEEEBBBBBBBBBAAA???;;;999777555333333333333111111111111111111111111444222000//////000222444111222333222111111111333111111222222222222111111000111111111111222222222222222222222222222222222333333333333333333333333333333333333222222222222555555555555555555555555111111222222333444444444::::::===BBBFFFMMMZZZhhhuuuzzzyyyqqqgggiiiooovvvxxxuuuuuuxxxqqqmmmppp||||||uuuqqqkkk___VVVNNNJJJEEECCCEEEHHHJJJLLLLLLKKKJJJKKKLLLNNNQQQRRRZZZ___kkk{{{|||vvvrrrnnnmmmnnnnnnkkkhhhjjjlllnnnpppssstttvvvvvvqqqpppnnnmmmnnnqqqtttvvvwww{{{~~~~~~~~~~~~~~~yyyyyyzzz{{{~~~~~~||||||}}}|||~~~~~~{{{{{{~~~}}}~~~||||||~~~~~~zzzuuurrrlllkkkjjjgggdddaaa___]]][[[ZZZXXXVVVTTTRRRQQQPPPSSSQQQPPPPPPQQQQQQPPPNNNLLLJJJFFFDDDDDDEEEEEEEEEHHHQQQ\\\gggvvv|||}}}333333222333333444555666777888<<>><<<999666444333333333111111111111111111111111333222111000000111222333111222222111000000111333111111222222222222111111000000111111111222222222222222222222222222222222333333333333333333333333333333333333333333333333666666666666666666666666555555666666777888888888::::::===CCCHHHQQQaaaooo{{{}}}uuukkkkkkqqq{{{{{{uuussspppqqqxxx}}}rrrjjjccc\\\RRRKKKHHHGGGFFFFFFHHHJJJLLLNNNLLLLLLMMMNNNPPPUUUZZZ^^^hhhppp}}}~~~vvvpppooommmmmmnnnllliiigggkkkmmmqqquuuxxx{{{}}}}}}wwwvvvtttrrrrrrsssuuuvvvuuu{{{|||}}}~~~~~~~~~~~~~~~zzzwwwvvvvvvuuussspppllliiigggdddbbb___\\\YYYWWWUUUUUUVVVTTTSSSSSSTTTUUUTTTSSSPPPLLLJJJJJJLLLLLLJJJGGGDDDHHHNNNVVVdddvvv|||zzz~~~333333333333444555666777777;;;BBBMMM]]]pppzzzvvvttttttrrrzzz|||iiibbb[[[]]]iiixxxyyypppddd^^^^^^^^^\\\YYYSSSPPPKKKGGGEEEEEEDDDDDDAAA>>>;;;777444333333333111111111111111111111111000111222333333222111000111222222111000000111333111111222222222222111111000000111111111222222222222222222222222222222222333333333333333333333333333333333333333333333333666666666666666666666666333333444555555666666777999:::>>>DDDJJJTTTdddsss{{{}}}tttpppsss{{{tttvvvyyyxxxtttmmmbbbWWWNNNIIIGGGFFFFFFGGGHHHIIIJJJKKKLLLKKKMMMPPPSSSWWW^^^gggmmmuuu}}}uuuqqqmmmmmmnnnnnnooommmjjjhhhnnnppptttyyy}}}yyyxxxwwwuuuuuuvvvwwwxxxvvv~~~}}}|||{{{{{{yyywwwtttqqqooommmkkkhhheeeaaa^^^\\\[[[YYYWWWUUUUUUVVVWWWWWWVVVSSSPPPNNNOOOQQQQQQNNNKKKIIIHHHIIIMMMUUUbbbqqq|||~~~||||||333333333444555666777888555>>>JJJWWWiii|||zzzvvvsssrrrrrruuuyyyooo]]]\\\\\\cccooo|||zzznnnggggggfffccc___VVVSSSOOOJJJGGGFFFFFFFFFDDDAAA===888555444444444111111111111111111111111///000222444444222000///111222333222111111111333111111222222222222111111000111111111111222222222222222222222222222222222333333333333333333333333333333333333444444444444666666666666666666666666333333444555555666666777888:::???GGGNNNXXXhhhwww~~~zzzvvvxxx}}}~~~~~~tttlllkkkfff[[[OOOGGGFFFGGGEEEGGGIIIIIIHHHHHHIIIKKKKKKOOOUUU[[[bbbkkkwwwyyyoookkkkkkjjjkkknnnpppqqqpppooonnnsssuuuyyy|||wwwvvvvvvuuuvvvwwwxxxyyy|||~~~}}}||||||{{{zzzxxxwwwvvvvvvtttqqqmmmiiifffdddccc]]][[[XXXXXXYYYYYYYYYYYYVVVUUUSSSRRRRRRPPPMMMKKKNNNKKKIIIJJJMMMQQQZZZcccrrrxxx{{{zzz{{{333333444444555777888999777DDDTTTcccttt}}}xxxuuutttuuuuuu|||qqqggg]]]___dddmmmyyyyyyzzz{{{zzzzzzuuummmllljjjeee___XXXVVVRRRNNNJJJHHHIIIJJJHHHEEE???:::777555555666111111111111111111111111111111111222222111111111000222444444333222222222111111222222222222111111000111111111111222222222222222222222222222222222333333333333333333333333333333333444444444555555555555555555555555555555555555666666777888888888888;;;BBBLLLTTT___ooo}}}yyyxxx{{{~~~yyy}}}tttlllccc```[[[TTTMMMIIIHHHHHHHHHJJJLLLLLLJJJJJJKKKMMMOOOUUU^^^gggppp{{{|||vvvnnnfffdddgggeeehhhmmmqqqtttvvvwwwxxxyyyzzz|||~~~~~~}}}{{{yyysssttttttuuuwwwyyy{{{|||~~~~~~}}}}}}~~~~~~~~~}}}{{{xxxtttqqqmmmkkkjjjbbb___\\\[[[[[[\\\\\\[[[WWWXXXXXXUUURRRPPPOOOOOOPPPLLLKKKMMMLLLJJJNNNUUU]]]fffttt}}}yyy333333444444666777888999===KKK\\\kkk{{{~~~yyyxxxxxxyyyzzz~~~xxxnnndddaaaeeemmmwwwuuuwwwxxxvvvvvv{{{xxxooommmjjjccc\\\[[[YYYUUUPPPLLLJJJKKKLLLJJJGGGBBB<<<888777777777111111111111111111111111333222000//////000222333000222555666555333222222111111222222222222111111000111111111111222222222222222222222222222222222333333333333333333333333333333333444444555555555555555555555555555555555333333444444555666666666888<<>>BBBCCCGGGNNNZZZjjjyyyxxxqqqnnnmmmnnnnnnllllllrrr{{{~~~xxxxxxyyyxxxvvvmmmfff___XXXTTTOOOMMMKKKLLLPPPRRRRRRQQQRRRSSSTTTTTTTTTUUUXXXZZZfffqqq|||{{{vvvpppooolllhhhddddddfffhhhjjjlllqqqvvvyyy{{{{{{{{{rrrrrrqqqooommmmmmoooqqqoooqqqrrrrrrsssxxx~~~|||yyytttqqqqqqnnneee```aaa^^^___^^^[[[WWWSSSRRRQQQTTTRRRRRRRRRRRRQQQOOOMMMKKKLLLOOOUUU```mmmyyy}}}222222333444666:::@@@DDDOOOZZZhhhqqqttttttuuuwww~~~{{{{{{ssshhhaaaaaacccuuu~~~}}}~~~tttmmmgggiiinnntttuuuuuuyyy~~~{{{jjj^^^YYYWWWUUUZZZZZZZZZWWWRRRNNNLLLKKKIIIIIIHHHFFFBBB===888555222111111111111222222333111111111111111111111111444222111111222333222111111111222222222222111111222222222222222222222222222222111111111111222333222222222333333444444444222222222222333333333333444444444444444444333333333444666777888:::===@@@FFFIIIMMMTTT]]]jjjwww{{{qqqkkkhhhiiijjjnnngggiiiyyyxxxuuuxxx|||}}}yyyxxxrrrggg[[[SSSPPPQQQKKKLLLMMMPPPSSSVVVUUUUUUWWWXXXXXXXXXYYY]]]bbbeeeppp|||xxxssspppmmmnnnooommmkkkiiihhhiiilllnnnrrruuuwwwxxxwwwvvvnnnnnnnnnlllkkklllnnnqqqooorrruuuvvvwww{{{}}}{{{zzzuuummmgggfffffffffeeebbb]]]XXXVVVVVVUUUTTTSSSTTTUUUUUUTTTRRROOOLLLIIIJJJPPP[[[gggooo333333333444666<<>>:::666444555666555333333333444444333333222111333444555555333333444555777333000000333666666555222222222222222222222222333333333333333333333333444444444444444444444444444333222111222333444555666555555555555666666777;;;;;;;;;<<<@@@MMM```qqqwwwzzzyyyuuuvvv}}}{{{ooorrr|||vvvxxx~~~}}}{{{mmm___TTTPPPKKKHHHGGGIIIKKKKKKJJJKKKLLLLLLPPPZZZgggppp}}}vvvqqqqqqlllmmmllliiiggglllvvv|||wwwttttttssspppnnnoooqqquuuxxx{{{|||{{{{{{|||||||||~~~zzzxxx{{{}}}|||{{{zzz{{{}}}zzzuuulllaaaYYYVVVVVVWWWXXXYYYXXXUUUSSSQQQNNNNNNUUU]]]fffqqq{{{|||{{{yyyxxxxxxyyy{{{|||:::???FFFRRRdddvvv~~~yyyuuupppsssuuutttuuu{{{{{{mmmjjjfffjjjsss~~~qqqgggcccbbbcccdddkkkuuu}}}|||sssooolllmmmqqq|||}}}|||zzz{{{ssspppooopppnnnjjjhhhfff___WWWVVVQQQLLLJJJLLLLLLIIIFFFAAA<<<777555555555555333333333444444333333222111333444555555333333444555555333111111444555555444333333333333333333333333333333333333333333333333444444444444444444444444444333222222222333444555666555555555555666777777888999<<>>HHHYYYlll|||xxxuuusssrrroooqqquuuyyyllldddeeefffrrrvvviii```\\\\\\\\\]]]dddnnnvvv}}}yyytttqqqrrrrrruuu|||pppkkkkkkhhhcccYYYTTTOOOLLLLLLMMMNNNMMMIIIEEE???999666555555555333333444444333333222111333444555555333333444555333444555777777666444333222222222222222222222222333333333333333333333333444444444444444444444444444444444444444555555666555555555555666777888888999===CCCLLL\\\rrrxxxttt~~~}}}zzzuuuqqqooooooqqqyyyooo^^^RRRMMMKKKLLLNNNOOOPPPSSSVVVXXX]]]___bbbffflllxxx|||vvvuuuxxx{{{}}}~~~}}}zzzxxxxxxzzzzzzxxxwwwvvvvvvwwwwwwwwwuuuvvvyyy|||{{{yyyvvvpppkkkhhhhhhhhhkkknnnppppppoooiiiaaaYYYVVVTTTTTTXXX___jjjsss~~~~~~CCCPPPcccuuu}}}yyyuuusssqqqqqqtttuuuyyyvvvddd```dddlllyyyuuuhhh^^^YYYYYYYYY\\\ccclllttt|||~~~yyywwwvvvxxxxxxyyy}}}qqqhhhiiiiiifffYYYVVVQQQMMMLLLMMMNNNNNNKKKHHHCCC===888666666777333333444444333333222111333444555555333333444555444666888999999777555444111111111111111111111111333333333333333333333333444444444444444444444444444444555555666666666666555555555666666777999999;;;BBBIIIRRRddd{{{xxx~~~zzzyyysssooonnnnnnqqqyyyzzzfffVVVOOOOOOMMMOOOQQQRRRRRRTTTXXX[[[]]]eeemmmqqqwww~~~zzzzzz~~~~~~{{{yyyxxxyyyzzz}}}|||{{{zzzyyyyyy{{{|||{{{}}}~~~xxxssspppooooooppprrrrrrqqqoooiiibbb[[[XXXUUUTTTWWW]]]aaammm|||JJJYYYlllzzzzzzzzzyyyvvvtttssstttvvv}}}}}}{{{jjj^^^___fffvvvrrreee[[[VVVUUUVVVZZZ```iiiqqqxxx~~~~~~~~~sssgggffffffdddZZZXXXTTTPPPMMMMMMMMMNNNLLLKKKGGGAAA;;;888777888333333444444333333222111333444555555333333444555444777999:::888666555555111111111111111111111111333333333333333333333333444444444444444444444444444555666666777777666666555555555666777888999:::===FFFOOOZZZnnn~~~xxx~~~vvvsssnnnjjjkkklllnnnttt{{{|||ppp^^^RRROOOQQQMMMPPPRRRQQQQQQSSSXXX]]]___jjjwwwzzzwwwyyy~~~~~~zzzxxxvvvwwwxxxzzz}}}}}}}}}|||{{{{{{}}}|||}}}xxxsssssssssttttttrrrooolllddd^^^ZZZYYYWWWVVVXXX]]]]]]hhhvvvQQQbbbttt}}}~~~~~~|||zzzvvvvvvuuusssrrruuu{{{yyyoooddd```fffppp~~~yyymmm```WWWSSSRRRSSSVVV\\\eeelllsss{{{{{{mmmgggccc```\\\ZZZXXXTTTPPPNNNMMMNNNLLLLLLJJJEEE>>>:::888888333333444444333333222111333444555555333333444555444666888888555333444555222222222222222222222222333333333333333333333333444444444444444444444444444555666777888777666666555555555666777999:::;;;@@@JJJTTT```tttxxxqqquuuvvvoookkkgggeeehhhkkkmmmqqqvvv{{{rrrdddWWWPPPOOOPPPNNNQQQRRRRRRQQQUUU\\\bbbkkkuuu|||yyyxxxuuurrruuu{{{{{{yyyvvvuuuuuuuuuvvvvvvxxxzzz{{{zzzyyyzzz~~~~~~{{{ttttttuuuvvvvvvrrrmmmiiiaaa]]][[[\\\\\\ZZZ\\\```^^^dddnnnxxxUUUgggzzz|||yyyxxxwwwvvvuuusssppppppvvvyyyooohhhcccdddooo{{{{{{ssshhh\\\TTTPPPPPPQQQSSSYYYaaahhhnnnvvv}}}{{{{{{tttxxxtttjjjccc___]]]]]][[[WWWRRROOONNNNNNKKKLLLKKKGGG@@@;;;999999333333444444444333222222333444555555333333444555333555777666333111222444444444444444444444444444333333333333333333333333444444444444444444444444444555777888888888777666555555555666777999:::;;;BBBMMMWWWbbbuuuooommmjjjuuuxxxmmmiiifffcccccchhhlllnnnqqquuu|||vvvhhh[[[RRROOONNNNNNPPPRRRTTTTTTTTTXXXaaahhhyyy~~~zzzxxxwwwuuuyyyvvvuuutttqqqooorrryyyvvvuuutttttttttttttttssssssuuuwwwxxxwwwyyy~~~~~~{{{ssstttvvvwwwwwwsssmmmhhhbbb^^^^^^``````___```ccc```ccchhhqqq|||\\\mmmyyyvvvtttwwwxxxsssuuuvvvvvvttttttzzz~~~}}}sssqqqllleeeccckkkzzzuuukkk___XXXSSSOOOOOOSSSTTTXXX^^^eeekkkqqqxxx|||||||||~~~}}}zzzwwwqqqnnnpppzzz}}}oooccc[[[aaaeeefff```UUUMMMKKKLLLOOOLLLJJJGGGDDD@@@<<<888777777666555444444444444444444444444333333222111777666555444333222222222333111///111444666555444333333333333333333333333222333444444555555444444555555555555666666666666777666555666888;;;<<<<<>>EEEJJJVVVfffsss{{{~~~~~~|||nnnhhhjjjsssxxxhhhbbbcccggggggkkkoooqqqttt~~~}}}zzznnnaaaUUUPPPPPPOOOPPPSSSSSSNNNOOOVVV___fffoooyyy~~~yyyuuutttsssvvvxxxyyyxxxuuurrrppppppsssrrrsssssstttuuutttsssuuuxxx{{{|||}}}~~~~~~~~~~~~zzzxxxtttqqqooonnnoooppplllnnnooonnnnnnooossswwwxxxsssooopppttt|||```iiipppppprrryyyzzzwwwwwwyyy}}}{{{sssqqqppppppoooooorrryyywwwiii___UUUOOOKKKHHHHHHLLLOOORRRXXX]]]bbbhhhnnnrrrwwwxxx{{{zzzpppllllllqqqyyy||||||~~~wwwpppfff```^^^eeerrr}}}{{{zzz{{{}}}~~~wwwnnnhhhfffnnnqqqqqqjjj___VVVRRRRRRMMMLLLKKKJJJHHHCCC===999555555444333333333444444333333444444444333222222444444333333222222111111333222111111333555555444333333333333333333333333222333444444555555444444444555555555555666666666999888888888999<<<>>>@@@GGGOOOZZZeeeooowww||||||nnnccccccjjjzzz~~~{{{nnneeedddfffooommmnnntttxxx~~~zzztttbbbYYYQQQPPPPPPOOOOOORRRNNNMMMQQQ\\\hhhqqqzzz|||xxxuuuuuutttyyyzzz{{{yyyvvvsssrrrrrrssstttvvvwwwxxxwwwwwwvvvzzz|||}}}{{{vvvsssqqqqqqrrrssssssuuuwwwyyyzzz{{{~~~{{{xxxxxxyyy{{{ccchhhlllmmmqqqxxx{{{yyyzzz}}}zzzqqqooooooqqquuuyyy}}}xxxooobbbYYYPPPKKKHHHEEEFFFIIIMMMPPPUUUYYY^^^dddjjjnnnqqqrrrsssuuuxxxzzz|||~~~vvvppphhheeefffmmmwww~~~zzzrrreee]]]XXX\\\iii|||{{{|||yyyuuuvvvyyy|||uuunnnmmmnnnuuuwwwvvvpppdddZZZSSSQQQMMMLLLLLLLLLJJJFFF???:::444444333333333333444444333333333444444333333222111111111111111000//////333222222222333444444444333333333333333333333333222333444444555555444444444444444555555555666666888888888888999<<>>EEEKKKVVVaaaiiihhhjjjrrryyyyyywwwpppggg```]]]aaaooo~~~wwwnnniiihhhrrryyyuuukkkkkkxxxzzzvvvhhh\\\UUUQQQNNNMMMKKKGGGGGGJJJJJJWWWeeemmmwww}}}{{{yyyvvvuuuvvvxxxyyy{{{zzzyyywwwtttuuuwwwyyywww{{{~~~|||||||||}}}~~~~~~}}}||||||}}}|||zzzxxx{{{~~~yyyyyyvvvxxx{{{{{{yyyyyyzzzrrrpppvvv}}}rrreee\\\TTTMMMFFFEEEDDDCCCDDDHHHJJJMMMPPPTTTYYY```gggmmmnnnqqqtttwwwyyyxxxwwwuuuppppppqqqtttyyy|||tttiiibbb___^^^\\\[[[\\\^^^fffsss~~~tttiii^^^XXXYYYdddxxx}}}|||zzzyyy|||uuuoookkkpppwwwyyyssshhh\\\TTTPPPOOONNNMMMLLLJJJEEEBBB:::999777666555444333333111222333333444444444333333444555666666555444333222444555333111111333555333333333333333333333333222333444444555555444444333333444444444555555555444777:::;;;<<>>DDDMMMUUU```jjjooollloooxxx{{{uuuvvvjjj___[[[___hhhuuuzzzrrrrrruuunnnppppppmmmlllsss{{{|||vvvkkk___UUUVVVQQQMMMKKKHHHFFFIIIOOOZZZcccqqq~~~|||zzzxxxvvvuuuwwwxxxzzzvvvvvvtttrrrqqqssswww{{{zzz~~~}}}tttrrrtttyyyyyyrrriiieee}}}~~~|||wwwzzz}}}tttiii]]]TTTKKKHHHCCC@@@>>>@@@CCCEEEHHHJJJMMMRRRYYY```fffjjjpppsssyyy~~~xxxrrrpppqqqtttvvvwwwqqqdddWWWRRRRRRSSSWWW[[[]]]fffrrrxxxoooddd\\\UUUVVVcccssszzzsss}}}wwwiiiqqqxxx{{{zzzuuukkkaaaRRROOOLLLLLLMMMMMMIIIFFF===<<<:::777555333111111222222333333222222111000111111111111111111111111//////000111222333333333555444444333333444444555666555444333222333444555;;;:::777444222333666999;;;888999???BBBFFFPPP\\\cccmmmsssrrrxxx}}}ssscccVVVXXX```hhhsss~~~yyytttrrrrrrrrrpppkkkfffkkkzzz{{{zzz{{{kkk]]]VVVTTTOOOOOOOOONNNJJJIIIPPPYYYfffooo~~~yyysssoooppprrruuuvvvwwwuuussssssuuuxxxyyyzzz}}}}}}|||{{{{{{zzzvvvssssssoooggg```]]]{{{wwwzzzzzzqqqggg\\\TTTJJJGGGCCC???>>>@@@CCCEEEGGGIIILLLRRRZZZbbbhhhllltttwww}}}~~~xxxuuussssss|||uuukkk___TTTPPPQQQRRRVVVZZZbbblll{{{uuujjjbbb[[[YYYbbbmmm{{{uuu~~~rrruuuwwwxxxyyywwwmmmbbbWWWSSSOOONNNNNNMMMJJJFFFAAA???<<<999666444444333444555555555555444333333222222222222222222222222000000111111222222333333444444333333333333444444555444333333333333444555888888777555333444777:::;;;999;;;@@@CCCJJJWWWeeemmmvvvzzzzzz}}}nnn___UUUYYYcccjjjsss}}}{{{vvvttttttlllnnnnnnppp{{{yyyzzzxxxhhh[[[UUUTTTSSSQQQOOOMMMJJJMMMXXXeeeyyy~~~yyysssooooooqqqtttuuuxxxwwwuuuvvvxxx{{{}}}~~~}}}{{{zzzzzzzzzyyyuuurrrqqqmmmddd]]][[[yyyvvvzzzvvvmmmdddZZZSSSIIIFFFBBB???>>>???BBBDDDEEEGGGLLLSSS[[[dddkkkooovvvyyy}}}xxxuuusssxxx{{{pppbbbYYYQQQOOOOOOQQQVVV\\\fffsss~~~~~~xxxoooiiiccc```bbbfffmmm~~~zzz~~~zzz{{{zzzrrrhhh\\\XXXRRRPPPOOONNNJJJGGGEEECCC>>>:::777666666777555555555555555444333333444444444444444444444444111111111222222222222222333333222222222222333333444444333333333444444555444555666666555666888:::::::::===AAAEEEPPPcccttt}}}yyyfffZZZTTT^^^jjjpppwww~~~|||wwwtttsssjjjnnnttt}}}}}}zzz~~~ssscccYYYUUUUUUUUURRRPPPNNNNNNUUUgggxxx}}}xxxrrrooooooqqqssstttyyyxxxxxxyyy{{{~~~|||yyyyyyyyyzzzzzzuuuqqqpppkkkbbb\\\ZZZ}}}~~~vvvuuuzzz}}}}}}|||qqqhhh```WWWRRRGGGEEEAAA>>>>>>???AAACCCDDDGGGMMMTTT]]]fffmmmqqqsssvvv|||~~~sssvvv{{{rrrhhhYYYSSSOOOOOOPPPRRRYYYaaakkkwww~~~~~~}}}xxxrrrnnnkkkhhheeedddfffsss|||~~~}}}zzzuuuooo___ZZZTTTPPPPPPOOOLLLIIIHHHEEE@@@;;;888777777888333333333444333222222111333333333333333333333333222222222222222222222111333222222111111222222333444333333333444444555555333555777777777666777999888;;;>>>BBBIIIXXXooosss^^^WWWXXXfffttt{{{}}}vvvrrrooolllqqqxxx|||zzzooo```WWWTTTUUURRRRRRSSSUUUXXXcccxxx{{{wwwqqqnnnoooqqqrrrsssxxxyyyzzz|||~~~|||zzzyyyzzz{{{|||vvvrrrpppkkkccc^^^\\\yyywwwxxxyyyxxx{{{sssuuu{{{zzzwwwxxx{{{~~~~~~~~~~~~wwwmmmddd\\\TTTOOOEEECCC@@@>>>===>>>@@@BBBDDDGGGMMMTTT\\\dddjjjnnnnnnrrrxxx}}}|||{{{{{{}}}wwwiii___SSSPPPOOOPPPRRRVVV```kkkttt~~~~~~~~~~~~~~~~~~{{{wwwtttqqqkkkgggdddlllvvv||||||}}}|||tttrrrqqqaaa\\\TTTPPPOOOOOOMMMKKKIIIFFFAAA;;;888666666777333333444444444333222222333333333333333333333333333333333222222222222222333222222111111222222333222333333444444555555555444666888888777666666666666;;;???DDDNNNaaayyy}}}kkkZZZXXX___ppp~~~vvvpppmmmlllqqqwwwxxx~~~{{{jjj]]]VVVTTTUUUOOOSSSZZZaaafffsssyyyuuuqqqoooooorrrssstttwwwyyy|||~~~~~~}}}}}}~~~|||uuupppoookkkddd``````~~~xxxvvvwwwyyyzzz|||uuupppttt{{{}}}zzzvvvuuuwwwzzz}}}~~~{{{|||~~~tttiiiaaaYYYQQQKKKCCCAAA???======>>>@@@AAADDDFFFKKKRRRXXX___cccfffiiinnnuuu|||{{{yyy|||zzzlll```YYYPPPOOOPPPRRRTTTZZZhhhvvv~~~~~~}}}}}}~~~}}}~~~}}}yyysssmmmeeeggglllttt{{{pppnnnpppfff___WWWQQQOOOOOOMMMKKKJJJGGGBBB<<<999666666666666666666666666555444444222222222222222222222222222222222333333333333333333333222222222222333333222222333444555555555555555777888888666555666666777<<>>======>>>???@@@BBBDDDHHHMMMRRRWWWZZZ[[[ccciiiqqqwww|||{{{yyy|||zzzooocccZZZUUUNNNNNNPPPSSSUUU]]]nnn~~~||||||}}}}}}~~~~~~}}}}}}~~~|||}}}~~~{{{wwwmmmhhheeelllyyy}}}sssoooooommmfff[[[TTTPPPNNNLLLJJJJJJHHHDDD???;;;777666555666666666666666555555444444444444444444444444444111222222333333444444444444444333333333333444444111222333555555555555555444666777777666666888999999>>>DDDLLL^^^vvvtttggg^^^[[[aaaooo~~~tttmmmiiifffllluuu~~~zzz~~~vvvooofff^^^YYYWWWWWWXXX]]]fffrrr|||}}}uuusssppppppsssvvvxxxyyywww{{{{{{uuuppppppooolllkkkmmmssstttuuuvvvwww|||wwwqqqmmmmmmttt|||}}}{{{wwwvvvuuuwwwzzz}}}~~~~~~|||~~~zzzpppggg___VVVMMMFFFAAA@@@>>>===<<<===???@@@AAACCCFFFJJJNNNQQQSSSTTT^^^eeemmmssswww}}}~~~yyyyyyzzzzzz||||||ssshhh^^^WWWTTTMMMMMMPPPRRRUUU^^^qqqzzzzzz{{{|||}}}~~~~~~}}}}}}~~~||||||~~~uuukkkcccgggrrr}}}yyytttpppssskkk___VVVQQQNNNKKKHHHKKKIIIEEEAAA<<<999666555444444555555444444333222555555555555555555555555111111222333333444555555555444444333333444444555000222333555666666555555333444555666666777:::<<<;;;@@@FFFPPPddd|||}}}ssshhh___\\\\\\dddsssuuukkkfffcccaaaqqq|||sssuuuiiiddd^^^YYYXXXXXXYYYZZZgggooo{{{}}}{{{tttrrrpppqqqtttwwwzzzzzzxxx}}}yyytttuuuuuussssssuuuxxxuuusssttt{{{}}}qqqiiigggmmmuuu{{{{{{wwwwwwwwwxxxzzz}}}zzznnnbbbXXXPPPJJJGGGEEEBBB???>>>>>><<<888555===@@@EEEIIILLLPPPUUUXXX]]]aaagggmmmsssyyy}}}vvvsssvvvuuuuuuxxx||||||tttkkkaaaXXXQQQMMMQQQOOOPPPVVV]]]hhhxxxzzzxxxvvvzzz~~~}}}|||qqqhhhhhhmmmttt}}}zzzxxx{{{qqqcccYYYTTTRRRNNNKKKIIIHHHEEEBBB>>>;;;999888666555555555555444444444333333333333333333333333111111222222222333333333555555555444444333333333444444444444444444444444777777666777999::::::999<<<@@@FFFTTTjjj}}}qqqfff```___aaammmuuu}}}vvvkkkccc```hhhsss~~~{{{sssfff\\\ZZZXXXVVVSSSRRRZZZdddrrr|||{{{uuuuuuooolllqqqwwwzzz}}}zzztttuuu{{{xxxuuutttwww~~~{{{}}}ssshhhdddiiittt~~~}}}zzzwwwwwwwwwyyy{{{}}}}}}vvvjjj^^^TTTMMMGGGDDDCCC???<<<;;;;;;<<<;;;:::>>>AAAEEEIIIMMMQQQUUUXXX]]]aaagggnnnsssxxx~~~}}}uuusssrrrsssvvvyyy|||}}}wwwssskkkbbbYYYRRRLLLJJJMMMMMMPPPVVV]]]iii}}}~~~zzzwwwuuuxxx~~~~~~}}}}}}~~~~~~~~~}}}sssjjjhhhjjjppp|||}}}||||||ttthhh]]]VVVQQQNNNLLLJJJIIIGGGDDDAAA===:::888666555555555555444444444333333333333333333333333222222222222333333333333555555444444444333333333555555555555555555555555666666666777999:::::::::===BBBIIIUUUhhh{{{~~~vvvkkkccc```bbbeeerrrzzzyyymmmgggeeehhhrrr||||||uuuhhh\\\UUUSSSRRRQQQPPPQQQ[[[gggxxx}}}{{{uuurrrmmmlllqqqwwwyyy|||{{{wwwxxx~~~wwwvvvxxx~~~{{{xxx}}}tttiiicccggguuu~~~{{{xxxvvvwwwxxxzzz}}}xxxqqqfff[[[RRRKKKEEEBBB@@@===999888:::<<<>>>>>>???BBBFFFJJJNNNRRRVVVYYY\\\aaagggnnnssswww{{{~~~|||xxxtttrrrsssuuuwwwxxx|||~~~|||wwwmmmiiiaaaXXXQQQLLLJJJIIIJJJMMMSSSZZZbbbppp}}}yyyvvvtttwww|||~~~~~~~~~}}}~~~}}}|||}}}~~~~~~wwwnnnhhhffflllyyy~~~|||wwwooodddYYYQQQNNNMMMJJJJJJIIIGGGCCC???;;;999666555555555555444444444333333333333333333333333333333333333444444444444555444444444444333333333666666666666666666666666555555666777888999:::;;;>>>EEENNNWWWdddttt~~~zzzuuulllccc^^^```fffkkkuuu|||wwwmmmddddddkkktttxxxyyyvvvhhh\\\TTTPPPNNNMMMMMMMMMRRR___lll{{{}}}}}}yyyuuuooollllllrrrwwwyyy|||}}}zzz{{{tttwww{{{|||rrriiieeekkkwww}}}~~~wwwzzz~~~zzzxxxwwwxxxzzz}}}sssmmmcccYYYQQQJJJEEEBBB>>><<<;;;;;;<<<===>>>??????BBBGGGKKKNNNRRRWWWZZZ\\\```gggmmmrrrvvvyyy|||zzzxxxxxxyyyyyy~~~}}}|||zzztttooofffaaaYYYRRRMMMKKKKKKKKKLLLQQQYYYbbbjjjzzz}}}xxxvvvtttvvvzzz~~~|||{{{{{{~~~~~~zzzqqqhhhbbbeeettt~~~~~~~~~|||zzz{{{zzzuuujjj]]]SSSOOOOOOJJJJJJJJJHHHEEE@@@;;;888666555555555555444444444333333333333333333333333333333333444444444555555444444444444444444444444555555555555555555555555444555666666777999;;;===AAAJJJSSSYYYbbbmmmvvvzzzwwwpppfff^^^\\\aaaiiiooouuuxxx~~~xxxqqqpppiiieeeiiivvvwwwxxx~~~mmm___WWWSSSOOOLLLKKKLLLNNNTTTcccrrrxxxyyy}}}{{{vvvsssnnnlllnnntttyyyzzz}}}}}}{{{|||sss{{{wwwmmmhhhjjjqqqxxx{{{zzz}}}wwwrrrvvvzzz{{{|||}}}}}}{{{zzzzzz{{{}}}{{{mmmggg^^^UUUNNNHHHCCC@@@<<<>>>???@@@@@@>>>======???BBBGGGKKKNNNRRRWWWZZZ[[[___eeekkkppptttxxx{{{~~~}}}~~~}}}yyywwwvvvrrrmmmhhh^^^ZZZSSSMMMJJJJJJLLLMMMNNNTTT___iiitttxxxvvvuuuvvvzzz~~~}}}{{{|||~~~zzzqqqfff]]]]]]jjjyyy}}}zzzyyyzzz{{{vvvtttxxxzzzxxxoooaaaUUUPPPPPPIIIJJJJJJHHHEEE@@@;;;888666555555555555444444444333333333333333333333333333333333444444444555555444444444444444444444444444444444444444444444444444555777777777999===@@@EEEOOOXXX]]]bbbkkkrrruuuyyyqqqeee]]]]]]cccmmmsssvvvvvvwwwzzz|||xxxpppiiikkkjjjkkkttt{{{uuuuuueeeXXXSSSRRRNNNKKKJJJKKKMMMUUUeeettttttyyy{{{vvvsssqqqooonnnqqqwww{{{|||}}}zzzzzz|||~~~uuuzzzrrrkkkjjjpppwwwyyyxxxyyy}}}xxxtttrrrtttuuutttuuuxxx}}}|||}}}|||}}}zzzsssfff```YYYQQQKKKEEE@@@===<<>>AAAAAA???===>>>???>>>AAAEEEIIIMMMQQQUUUXXXZZZ\\\aaaeeekkkrrryyy~~~|||wwwrrrmmmjjjgggddd^^^ZZZSSSPPPLLLIIIHHHIIILLLNNNTTTZZZgggzzz~~~yyyyyyzzz{{{|||}}}~~~~~~xxxnnnbbb[[[^^^fffzzzzzzwwwpppwww}}}{{{wwwvvvwwwzzz~~~}}}wwwssspppsssuuuqqqhhh\\\SSSOOONNNMMMKKKHHHEEEAAA>>><<<666555555555555444444444333333333333333333333333222222222222333333333333333333333444444444555555555555555555555555555555555777999999888;;;AAAFFFPPPXXX```dddjjjqqqtttsssuuummmccc___eeeqqq}}}|||vvvrrrnnnkkkiiicccmmmzzz}}}zzz}}}mmmbbbXXXNNNJJJLLLHHHGGGHHHLLLPPPYYYiiixxx{{{uuusssuuuwwwwwwvvvyyy~~~~~~|||||||||{{{zzzzzzvvvxxx|||xxxqqqooonnnmmmjjjhhhoooxxx{{{}}}~~~}}}||||||}}}|||}}}~~~ssskkkbbb^^^WWWQQQKKKGGGBBB???:::===>>>>>><<<<<>>;;;<<<;;;;;;<<<<<<===>>>??????AAAEEEHHHJJJNNNSSSVVVYYY[[[___ccchhhooovvv{{{}}}|||}}}zzzuuuooojjjdddaaaaaa```[[[WWWPPPLLLKKKLLLMMMNNNRRRWWW[[[hhhzzz~~~~~~{{{{{{|||}}}~~~{{{~~~xxxkkkgggiiioooxxxvvvssssssxxx~~~}}}~~~|||~~~vvvpppnnnqqqooocccWWWRRRNNNMMMKKKJJJHHHEEE@@@<<<888666444333444555555444444444444444444555666777111111222333333444555555444444444444444444444444333444555555666666555555999777666777:::???DDDGGG[[[___fffnnntttxxxzzz{{{wwweeeZZZ___jjjsss{{{vvvqqqllliiijjjjjjxxxtttxxx~~~ooo___UUUPPPKKKIIIJJJLLLHHHIIISSS]]]fffttt~~~yyyvvvvvvvvvwwwwwwwwwyyy}}}}}}xxxtttrrrrrrtttuuuxxxxxxyyy}}}{{{uuuvvv{{{}}}{{{}}}}}}xxxqqqvvvvvvrrrrrrooohhhbbb___bbbhhhmmmuuuvvvxxxzzz|||~~~xxxooohhhccc___YYYQQQIIICCC>>><<<;;;;;;;;;;;;<<<===>>>??????AAAEEEHHHJJJNNNRRRVVVXXXZZZ^^^bbbgggnnnuuuzzz~~~}}}}}}~~~~~~yyysssnnnkkkfffaaa``````^^^YYYUUUOOOLLLKKKNNNPPPPPPUUUZZZcccqqq~~~||||||{{{|||}}}~~~tttlllkkklll}}}|||yyyqqqpppsss{{{|||~~~{{{tttqqquuuttthhh[[[TTTOOOMMMLLLKKKIIIFFFAAA>>>999777444333444555555444444333333333333444444555000000111222222333444444444444444444444444444444333444555555666666555555666777777888;;;@@@HHHMMMaaaeeemmmtttzzz~~~sssddd[[[aaalllsss}}}}}}zzzuuummmiiijjjnnnzzz{{{sssfffXXXRRRNNNJJJHHHIIIIIIKKKRRR[[[bbbkkk}}}}}}xxxuuutttvvvwwwwwwxxxzzz~~~}}}xxxtttrrrrrrtttuuuttttttuuuyyy~~~~~~{{{yyyyyyzzzzzzxxxyyy{{{|||~~~~~~uuupppsssxxx~~~}}}|||}}}}}}|||rrrnnnyyypppnnnqqqnnnhhhbbb```bbbhhhllltttttttttvvvxxx|||~~~uuulllfff___\\\VVVOOOHHHCCC???===;;;;;;;;;;;;<<<===>>>??????AAADDDGGGJJJNNNRRRUUUWWWYYY]]]aaaffflllsssxxx{{{{{{|||~~~~~~|||yyyuuupppiiieeecccaaa^^^^^^^^^\\\WWWSSSNNNLLLMMMQQQRRRSSSXXX___lll|||}}}{{{{{{}}}}}}~~~uuunnnhhhvvv|||qqqmmmnnnwww~~~|||vvvtttxxxzzzpppaaaWWWPPPNNNLLLJJJIIIGGGCCC@@@:::888555444555555555444444444333222222222333333000000111111222222333333444444444444444444444444444444555666666666666555444777999:::;;;BBBLLLUUUhhhmmmttt|||qqqfffaaahhhqqqvvv|||~~~wwwnnnjjjjjjuuu{{{eee\\\RRROOOMMMJJJHHHIIIIIIRRR^^^gggmmmwww{{{uuurrrrrruuuwwwxxxyyyzzz~~~zzzwwwuuuuuuvvvwwwsssssstttwww{{{{{{yyywwwuuurrrqqqppppppppppppqqqsssuuuwwwyyyzzz}}}uuuooommmnnnsssyyy}}}||||||~~~vvvooommmzzzxxxmmmnnnooolllhhhcccaaaccchhhlllrrrssstttwwwzzz}}}yyyqqqhhhccc[[[XXXSSSMMMGGGCCC@@@>>>;;;;;;;;;;;;<<<===>>>>>>>>>AAADDDGGGJJJMMMRRRUUUVVVYYY\\\```eeekkkrrrvvvwwwxxxzzz||||||yyywwwvvvtttppplllgggbbb___]]]]]]]]]___```]]]XXXTTTOOONNNPPPSSSTTTUUU[[[cccppp~~~}}}~~~~~~tttgggppp|||uuummmjjjsss~~~{{{yyy}}}yyyiii\\\PPPNNNKKKIIIHHHFFFDDDBBB<<<:::777555666666555444555555444333222222222333111111222222222333333333444444444444444444444444444444555666666666666666444888;;;<<<===DDDRRR]]]ooottt{{{~~~ooojjjiiirrrzzz~~~}}}uuummmjjjmmm|||xxxkkk]]]VVVPPPOOONNNKKKJJJLLLNNNYYYhhhttt}}}}}}yyyssspppqqqtttwwwxxxzzz{{{}}}{{{zzz{{{{{{{{{yyyyyyzzz|||~~~~~~~~~wwwwwwvvvuuussspppnnnmmmllllllmmmnnnpppsssuuuwww|||tttooolllllljjjooouuuyyy{{{|||~~~~~~}}}tttooommmyyyssskkknnnmmmkkkhhheeeccceeejjjnnnqqqssswww{{{~~~}}}uuummmeee```WWWUUUPPPKKKFFFBBB@@@???:::::::::;;;;;;<<<===>>>>>>@@@DDDGGGIIIMMMRRRUUUVVVXXX\\\___dddjjjpppuuuwwwyyy|||~~~~~~|||{{{zzzwwwtttqqqkkkjjjhhheeebbb___]]]\\\[[[^^^aaaddddddaaa[[[WWWQQQQQQRRRUUUUUUVVV^^^gggvvv~~~zzziiimmmttt|||uuukkkfffnnn{{{ooo```RRROOOKKKHHHGGGFFFDDDBBB>>><<<888777666666555444666666555444444333444444333333333444444444444444444444444444444444444444444555666666777777666666555999===>>>@@@JJJYYYeeewww|||~~~yyymmmllloooxxx~~~xxxqqqkkklllqqqzzzqqqcccXXXRRRNNNNNNMMMKKKLLLOOOWWWaaappp~~~}}}{{{wwwrrrpppqqqtttwwwxxxzzz{{{~~~~~~~~~|||{{{xxxyyyyyyxxxvvvssspppnnnmmmlllmmmnnnppprrruuuwww}}}}}}uuuooollllllllljjjmmmrrrvvvzzz|||~~~~~~yyyrrrooooooyyynnngggjjjjjjjjjhhhffffffhhhmmmqqqsssvvvzzz~~~zzzrrrjjjccc___UUURRRNNNIIIEEEAAA???>>>::::::::::::;;;<<<===>>>>>>@@@CCCFFFIIIMMMQQQTTTVVVYYY\\\___dddiiipppuuuyyy|||{{{yyyvvvtttqqqnnnjjjggg^^^^^^]]]ZZZYYYZZZ\\\___bbbfffkkkmmmkkkeee]]]XXXRRRQQQSSSTTTTTTWWWbbbmmmpppmmmnnnuuu}}}vvvjjjccciiivvvuuufffUUUQQQLLLHHHGGGFFFDDDCCC@@@===:::888777777666444666666555444444444555555444444444444555555555555444444444444444444444444555555666777777777777666777:::>>>AAAGGGTTTeeeqqqzzzsssiiilllrrr{{{wwwpppmmmlllpppvvv}}}}}}|||lll```UUUPPPLLLKKKKKKKKKNNNTTT```jjjxxx~~~zzzzzz{{{xxxuuurrrqqqsssvvvxxxxxxzzz|||~~~|||zzzzzzzzz{{{zzzxxxuuuqqqooooooooooooooorrruuuxxxzzz|||~~~yyysssooonnnooopppoooqqqsssvvvzzz~~~}}}|||vvvqqqoooqqqzzz{{{hhhbbbdddhhhiiihhhhhhhhhkkkppptttwwwyyy{{{~~~xxxppphhhbbb^^^SSSQQQMMMHHHCCC@@@>>>===::::::::::::;;;<<<=========@@@CCCFFFIIIMMMQQQTTTWWWYYY\\\```dddjjjpppuuuxxx|||~~~|||zzzuuusssooolllhhhddd___\\\WWWWWWVVVUUUVVV[[[bbbhhhmmmrrrvvvwwwrrrhhh^^^WWWPPPOOOQQQRRRTTTYYYgggttt~~~~~~wwwppplllpppyyy|||oooeeegggpppzzz}}}pppZZZUUUOOOJJJHHHGGGFFFEEEAAA???;;;999888777666444444444333333444444555555444444444444444444444444444444444444444444444444555555666777777777777777999:::>>>DDDPPPaaasssrrrjjjhhhmmmuuu~~~pppjjjlllpppvvv{{{|||rrreee\\\VVVPPPKKKKKKKKKNNNUUU]]]eeeqqq}}}yyyzzz|||vvvtttrrrsssuuuwwwxxxxxxzzz~~~~~~|||||||||{{{yyyvvvsssqqquuuuuutttuuuwwwzzz}}}~~~~~~{{{xxxwwwwwwxxxyyyxxxwwwwwwyyy}}}{{{}}}xxxtttpppnnnsss{{{tttddd___aaaggghhhiiiiiijjjmmmrrrvvv{{{{{{{{{|||~~~wwwooogggaaa]]]SSSPPPLLLGGGCCC???===<<<::::::::::::;;;<<<=========@@@CCCFFFIIILLLQQQTTTXXXZZZ]]]```dddjjjpppuuuuuuyyy~~~~~~~~~~~~}}}~~~|||xxxvvvqqqnnnjjjfffbbb]]]XXXTTTUUUVVVVVVVVVXXX___iiiqqqvvv{{{~~~vvviii]]]UUUMMMMMMNNNQQQSSSZZZjjjzzz}}}{{{yyyzzz{{{|||rrrkkknnnvvvwwwiiifffkkksss}}}xxx]]]XXXRRRLLLIIIHHHGGGFFFBBB???<<<999888777666444222222222222333444444555333333333333333333333333444444444444444444444444555666666777777777777777::::::>>>GGGWWWkkk}}}zzzlllbbbjjjpppxxx|||kkkgggmmmsssyyy}}}~~~}}}vvvhhh^^^WWWXXXRRRMMMMMMNNNSSS]]]fffggguuu{{{|||}}}tttsssssstttvvvxxxxxxxxxzzz~~~~~~}}}|||zzzwwwuuusss{{{zzzzzzzzz|||~~~|||zzz{{{wwwqqqqqqtttxxx~~~xxxddd[[[]]]bbbffffffhhhlllppptttuuuuuu{{{}}}~~~}}}{{{}}}yyyppphhh___ZZZTTTOOOJJJEEEBBB???===;;;;;;;;;:::999:::;;;<<<===@@@AAADDDFFFHHHKKKPPPSSSTTTWWWZZZ]]]aaafffkkkooouuuyyy~~~~~~~~~|||{{{{{{|||}}}~~~}}}|||~~~~~~}}}|||{{{zzzyyyyyy{{{zzzyyyyyyyyyxxxvvvtttkkkjjjeee^^^WWWQQQOOONNNTTTRRRVVV]]]bbbgggqqq}}}{{{pppggg[[[PPPMMMKKKLLLPPPVVV___ooo}}}|||{{{zzzzzzzzz{{{|||}}}|||qqqpppxxx~~~oooeeeeeeooo}}}}}}hhh\\\RRROOOLLLFFFEEEHHHAAA???<<<999666555444444777666555444333444555555444444444555555444333333555555444444444444555555666777777666555555777999===>>>AAAKKK^^^uuu{{{pppgggddddddkkkyyysssfffgggqqqzzz}}}xxxjjjbbb]]]WWWPPPNNNKKKKKKQQQ\\\hhhpppqqq}}}}}}||||||{{{tttvvvxxxwwwvvvvvvzzz~~~}}}|||zzz|||{{{tttqqqtttzzz~~~qqqaaa[[[^^^bbbgggggghhhlllqqquuuwwwxxx}}}~~~|||~~~zzzqqqhhh___ZZZSSSOOOJJJEEEBBB???===;;;;;;;;;:::999:::;;;<<<===???AAADDDFFFHHHKKKPPPSSSUUUWWWZZZ^^^aaafffkkkooosssvvvzzz}}}}}}{{{zzzzzzwwwvvvuuuuuuvvvwwwwwwwwwxxxxxxxxxxxxxxxxxxxxxxxxxxxvvvuuuuuuuuutttqqqooogggeee```ZZZSSSNNNMMMNNNPPPPPPVVV```iiirrr|||mmmbbbVVVLLLNNNLLLMMMQQQWWW```ppp~~~|||{{{zzzyyyyyyzzz{{{{{{~~~{{{zzz}}}wwwjjjhhhppp{{{|||pppcccWWWRRRPPPKKKIIIJJJEEECCC@@@===:::888888777777666555444333444444555444444444444444444444333555555444444444444555555666777777666555555888:::>>>AAAGGGQQQdddxxx~~~~~~zzzqqqgggaaabbbfffqqq{{{ooofffjjjttt}}}|||qqqddd^^^WWWQQQOOOMMMMMMPPPYYYdddnnnttt~~~{{{yyyyyyyyyvvvxxxyyyyyywwwxxx||||||{{{~~~}}}vvvqqqqqqwwwlllaaa]]]___aaaiiihhhiiilllqqqwwwzzz{{{~~~{{{rrrhhh___YYYSSSOOOIIIEEEAAA???<<<;;;;;;;;;:::999:::;;;<<<===???AAACCCEEEGGGKKKOOOSSSUUUXXX[[[^^^aaafffkkkooorrruuuxxxzzzyyywwwvvvvvvrrrqqqppppppqqqsssuuuvvvtttuuuuuuvvvvvvvvvvvvvvvsssrrrqqqqqqpppnnniiifff```^^^YYYRRRMMMKKKLLLNNNQQQSSSZZZgggsssyyyhhh\\\RRRKKKNNNMMMNNNRRRXXXbbbsss|||{{{zzzxxxxxxxxxyyyyyy}}}}}}~~~rrrlllqqq{{{~~~~~~~~~uuugggXXXQQQOOOLLLIIIGGGGGGFFFBBB???<<<:::999999666666555444444444444555444444444444444444444444555555444444444444555555666777777666555666888::::::???GGGRRRcccttt{{{{{{{{{xxxpppeee\\\[[[bbbjjjyyyssslllhhhmmmvvv{{{{{{yyyiii___ZZZSSSMMMNNNNNNPPPXXXdddpppwwwzzz~~~yyyvvvuuuuuuwwwyyyzzzzzzyyyzzz~~~~~~~~~|||tttooorrrzzz~~~mmmdddbbbbbbbbbhhhhhhhhhlllrrrxxx{{{}}}|||rrrhhh^^^XXXSSSOOOIIIDDDAAA???<<<:::;;;;;;:::999:::;;;<<<===???AAACCCEEEGGGJJJOOORRRVVVXXX[[[^^^aaafffkkkooosssuuuxxxxxxwwwtttssssssppppppppppppqqquuuyyy}}}yyyyyyzzzzzzyyyyyywwwwwwrrrpppooommmkkkgggaaa]]]XXXVVVQQQLLLHHHIIIMMMQQQXXX\\\dddqqqrrrbbbXXXRRRNNNLLLLLLOOOSSSXXXcccvvv}}}|||zzzxxxwwwwwwxxxxxx{{{|||zzzrrruuu}}}}}}}}}{{{mmm[[[RRROOOMMMJJJFFFGGGEEEAAA>>>;;;999888777666666555555444444444444444333333333444444555555555555444444444444555555666777777666555666999;;;999???GGGQQQ___nnnuuuuuuxxxtttkkk```YYY[[[fffooosssnnnlllpppwww~~~vvvpppccc\\\YYYSSSMMMMMMNNNTTT```nnnyyy~~~{{{wwwsssrrrsssvvvxxxzzzzzzyyy||||||{{{~~~uuupppssszzz{{{mmmggggggfffeeegggggghhhmmmsssyyy}}}~~~|||rrrhhh^^^XXXSSSNNNIIIDDDAAA>>><<<:::;;;;;;:::999:::;;;<<<===???@@@CCCEEEGGGJJJOOORRRUUUXXX[[[]]]```eeejjjnnnrrrtttvvvvvvtttrrrqqqqqqrrrsssuuuuuuwww{{{|||zzztttqqqnnnjjjfffaaaZZZVVVPPPOOOKKKHHHHHHKKKRRRVVV___eeeppp}}}{{{iii[[[SSSOOOOOOJJJKKKNNNSSSXXXdddzzz~~~}}}{{{yyyxxxxxxyyyyyyzzz}}}{{{xxxxxxyyy}}}~~~~~~~~~vvveeeXXXTTTRRROOOJJJGGGEEEAAA>>>:::888777666555555555555555444444444444333333333333444555666555555444444444444555555666777777777666777:::<<>>;;;:::;;;;;;:::999:::;;;<<<===>>>@@@BBBDDDFFFJJJNNNRRRUUUWWWZZZ\\\___ccchhhlllnnnpppsssttttttttttttuuuyyy|||xxxtttnnnhhhaaaZZZTTTOOOKKKJJJIIIIIIKKKQQQYYY___eeennn{{{ooo```UUUNNNKKKKKKHHHJJJOOOTTTZZZhhh~~~}}}{{{{{{{{{||||||{{{rrroooyyy|||~~~yyyyyyzzz}}}wwwyyyyyyjjj[[[SSSRRRNNNJJJIIIGGGCCC???<<<999888888555555666666555555444333444333222222333444666777555555444444444444555555666777777777666777:::===AAAHHHNNNUUU^^^jjjpppqqqqqqoooiiibbb___dddpppzzzyyy~~~yyywww{{{rrr```WWWTTTQQQNNNNNNNNNSSS\\\fffpppxxx~~~zzztttwwwxxxtttsssvvvvvvxxx{{{|||~~~wwwwwwzzzqqqooottt{{{zzzooohhheeefffggggggfffhhhmmmttt{{{vvvlllccc]]]RRRNNNHHHCCC@@@>>>;;;999;;;;;;:::999:::;;;<<<===>>>@@@BBBDDDFFFJJJNNNQQQTTTVVVYYY[[[^^^bbbgggjjjjjjmmmrrrvvvxxx{{{~~~{{{vvvmmmddd\\\UUUNNNJJJGGGHHHIIILLLPPPXXXaaagggnnnyyytttcccZZZSSSLLLIIIJJJGGGJJJPPPWWW]]]lll~~~~~~~~~}}}}}}~~~~~~~~~{{{mmmgggmmmvvv}}}|||~~~xxxtttttt~~~xxxrrruuu}}}yyymmm\\\RRROOOMMMIIIIIIGGGDDD@@@<<<:::888888444555666666666555444333444333222222222444666888555555444444444444555555666777777777777888;;;===AAAIIIRRRYYY```iiimmmlllllljjjeee^^^\\\cccqqq||||||www}}}zzz|||ppp```WWWRRRMMMLLLNNNOOOUUU^^^eeejjjpppxxx~~~vvvqqqwwwzzzvvvvvvzzzzzz|||{{{~~~|||uuunnnmmmttt|||yyypppiiidddcccccccccgggiiiooowww{{{}}}yyyooofff```RRRNNNHHHCCC@@@>>>;;;999;;;;;;:::999:::;;;<<<===>>>@@@BBBDDDFFFIIINNNQQQSSSUUUXXXZZZ]]]aaafffiiijjjnnntttyyy~~~~~~wwwmmmbbbYYYQQQKKKGGGEEEGGGJJJNNNTTT\\\ffflllwwwwwwiii[[[VVVSSSMMMKKKMMMHHHKKKRRRYYY```ooo~~~}}}zzzkkkbbbdddkkk|||}}}yyyxxx}}}yyyuuutttwwwqqqttt~~~}}}sssbbbUUUQQQPPPMMMHHHFFFCCC???;;;999777666444555666666666555333333444333222111222444666888555555555444444555555555666777777777777888;;;>>>DDDNNNZZZaaahhhnnnpppmmmiiifff```ZZZXXXaaappp}}}~~~}}}zzzwwwuuu{{{yyyssscccZZZSSSLLLKKKOOOPPPWWW___ccceeekkkttt|||~~~tttooowww|||xxxxxx}}}}}}{{{~~~uuusssnnnkkksss}}}uuullleeecccbbbbbb```jjjnnntttzzz~~~~~~{{{}}}}}}~~~{{{pppddd[[[WWWMMMEEECCCAAA>>><<<===<<<;;;;;;;;;;;;<<<======???@@@AAABBBDDDGGGMMMQQQVVVXXX[[[\\\^^^aaadddgggiiirrr|||{{{pppddd\\\SSSJJJFFFFFFHHHEEEKKKXXX```bbbkkkwww{{{iii```UUUOOOMMMMMMKKKIIIKKKOOOSSSXXXcccwww}}}||||||~~~~~~}}}~~~mmmaaa```eeerrr}}}~~~wwwuuuzzz~~~yyyrrrrrr||||||zzz|||nnn]]]TTTPPPMMMQQQMMMGGGCCC@@@===:::888666666555444444444444555555555444444444444555555666666666666666666666666999999999999999999:::;;;EEESSS___ccciiirrruuurrrgggaaaYYYVVVZZZdddlllooozzzvvvuuuxxxxxxtttrrrsssrrr{{{yyymmm___WWWRRRNNNNNNPPPYYYYYY\\\ccchhhlllttt|||yyyzzz{{{~~~|||vvv{{{vvvnnnhhhlllyyy{{{tttkkkeeecccccccccbbblllpppvvv{{{~~~|||yyyyyy{{{~~~|||rrrfff^^^WWWMMMEEECCCAAA>>><<<===;;;;;;;;;;;;;;;<<<======???@@@AAABBBDDDGGGMMMQQQRRRTTTXXXZZZ]]]```dddhhhgggrrr~~~xxxmmmbbbYYYQQQIIIEEEFFFIIIGGGMMM[[[cccgggrrrsssfff^^^TTTNNNLLLLLLKKKIIIKKKOOOTTTZZZfffzzz{{{wwwvvvxxx|||~~~~~~|||}}}}}}~~~~~~}}}}}}}}}~~~qqqdddbbbgggqqqyyyxxxvvvvvvzzz}}}wwwwww}}}||||||vvvdddZZZTTTQQQOOOKKKGGGCCCAAA>>>;;;888666666555444444444444555555555444444444444555555666666666666666666666666888888999999:::;;;===???JJJWWWbbbeeeiiiqqqsssoooccc]]]VVVSSSXXX```gggjjjlllkkkmmmsssuuusssrrrssstttsssggg[[[VVVTTTRRRSSSVVV]]]]]]```fffkkkoooxxx}}}{{{uuuiiidddoooxxxrrrjjjdddbbbccceeeeeeppptttyyy|||~~~~~~xxxxxxzzz}}}~~~uuujjjcccWWWNNNEEEBBBAAA===;;;<<<;;;;;;;;;;;;;;;<<<<<<===>>>???AAABBBDDDGGGLLLPPPNNNQQQUUUXXX[[[___dddhhhjjjwww{{{ssshhh]]]UUUNNNGGGEEEGGGKKKJJJPPP^^^hhhppp|||wwwiiiaaaZZZRRRLLLKKKKKKJJJHHHJJJOOOUUU]]]kkk{{{uuuqqqqqqtttxxx|||{{{|||~~~~~~~~~~~~}}}~~~~~~}}}{{{{{{|||}}}|||{{{xxxyyy{{{}}}|||zzzzzz{{{|||wwwiiieeehhhqqqwww{{{wwwpppuuu~~~~~~~~~}}}{{{}}}jjj[[[SSSOOOLLLJJJGGGDDDBBB???;;;888777666555555444444555555555555444444444444555555666666666666666666666666777888999999:::<<<@@@CCCOOO[[[eeegggkkkqqqqqqlll___ZZZUUUSSSWWW]]]dddhhhiiijjjooovvvyyyvvvtttvvvvvv{{{iii___VVVTTTVVVWWWZZZ^^^bbbbbbeeekkkooouuu|||{{{|||qqqeeeeeeuuutttooohhhcccbbbdddhhhjjjuuuwww{{{}}}|||}}}~~~xxxooogggXXXNNNFFFCCC@@@<<<:::;;;;;;;;;::::::;;;;;;<<<======???AAABBBDDDGGGLLLOOONNNQQQTTTXXX[[[___cccgggppp||||||uuunnncccXXXQQQKKKFFFFFFIIIMMMMMMUUUbbbnnnxxxooobbb\\\VVVOOOKKKIIIIIIIIIIIIJJJOOOWWWbbbqqq{{{xxxssspppoooqqquuuwwwwwwwwwyyyzzz|||}}}~~~~~~~~~~~~|||}}}~~~~~~~~~~~~}}}{{{yyyxxxxxxxxxwwwvvvuuuuuuvvvyyy~~~|||{{{yyyxxxyyyzzz}}}~~~~~~|||nnnggggggpppttt~~~~~~xxxmmmqqqzzzrrr]]]QQQLLLJJJIIIGGGEEEDDDAAA<<<999777666666555555555555555555555444444444444555555666666666666666666666666777888999999999<<>>AAABBBDDDGGGKKKNNNQQQSSSVVVYYY[[[___cccfffqqq}}}yyyrrriii___SSSMMMIIIFFFHHHLLLPPPRRR[[[gggtttyyyjjj___VVVRRRMMMIIIHHHHHHIIIJJJKKKPPPZZZfffxxxvvvuuurrrqqqoooppppppqqqqqqrrrsssuuuwwwxxxzzz{{{~~~~~~~~~||||||}}}~~~~~~}}}{{{xxxvvvuuuuuutttsssqqqsssrrrrrruuuyyy|||~~~~~~~~~~~~~~~~~~}}}}}}|||{{{zzzyyywwwwwwxxxzzz{{{~~~pppfffcccgggjjjvvvyyylllnnnvvv|||fffWWWQQQKKKIIIGGGFFFEEEBBB>>>:::777777666555555555555666555555444444444444555555666666666666666666666666777999:::888777;;;BBBHHHTTT```iiimmmqqquuuqqqggg\\\WWWVVVZZZ^^^cccllluuu~~~uuupppqqqwwwvvvddd^^^VVVQQQSSSXXX\\\aaaeeeccceeelllssszzz|||}}}~~~~~~}}}}}}zzzzzz{{{{{{{{{|||}}}~~~}}}}}}}}}}}}qqqbbbgggssszzznnnlllgggdddccchhhpppvvvyyy{{{}}}~~~~~~tttlll\\\RRRIIIEEEBBB===;;;;;;:::::::::::::::;;;;;;<<<<<<>>>AAACCCDDDGGGKKKMMMRRRTTTWWWZZZ\\\___cccfffnnnyyyxxxqqqfff\\\QQQKKKHHHGGGKKKPPPTTTYYYcccnnnzzz~~~rrrfff\\\RRRPPPLLLIIIGGGHHHJJJKKKMMMRRR\\\kkk~~~rrrqqqpppnnnmmmkkkjjjjjjjjjkkklllmmmppprrruuuvvvzzz{{{|||}}}~~~||||||}}}~~~~~~~~~}}}}}}zzzwwwuuuttttttsssrrrpppsssqqqooopppssswwwyyyzzzxxxyyyyyyyyyyyyxxxwwwwwwvvvvvvvvvvvvvvvwwwwwwxxx}}}rrreee___ZZZ]]]iii}}}zzzkkkjjjppp~~~nnn]]]UUUMMMKKKIIIGGGEEECCC???===888777666666555555666666555555444444444444555555666666666666666666666666777999:::999888<<>>;;;;;;::::::999999::::::;;;<<<;;;===@@@CCCDDDGGGJJJMMMPPPRRRVVVYYY\\\```eeehhhmmmxxxxxxpppeeeZZZOOOJJJHHHIIINNNTTTZZZaaakkkuuuvvvkkk```WWWOOONNNKKKIIIGGGHHHJJJLLLOOOTTT___ooozzzooonnnjjjgggeeedddcccccccccddddddfffiiilllnnnpppvvvwwwyyy{{{|||~~~~~~|||}}}}}}~~~~~~||||||}}}~~~~~~}}}~~~~~~~~~~~~~~~}}}|||zzzxxxvvvuuuuuutttsssrrrrrrooommmlllooorrrtttuuurrrsssttttttsssrrrqqqpppnnnoooqqqsssuuuvvvvvvvvv|||uuuddd]]]SSSSSS]]]qqqzzziiifffjjjyyyvvvbbbYYYQQQNNNJJJGGGFFFCCCAAA>>>888777777666666666666666555555444444444444555555666666666666666666666666666999;;;::::::@@@LLLUUU^^^kkkvvv{{{~~~rrrbbbZZZUUUWWWaaaiiippp~~~qqqnnnqqqvvv|||oooeee]]]YYYRRRNNNRRRYYY^^^cccgggfffkkkuuu~~~~~~{{{zzzuuuyyy~~~~~~~~~{{{}}}~~~|||yyyvvvvvvxxxtttrrrsssuuuxxx~~~zzzsssddd\\\jjjyyyssslllkkkhhheeeeeekkkvvv~~~yyy{{{|||}}}}}}~~~vvvkkk___UUUKKKGGGDDD???<<<<<<::::::999999::::::;;;<<<;;;===@@@CCCEEEGGGJJJLLLMMMPPPTTTXXX\\\aaafffiiiooozzzwwwpppdddYYYOOOJJJIIIJJJPPPVVV___fffpppzzz~~~pppfff\\\TTTMMMMMMKKKIIIHHHHHHKKKMMMPPPUUU```qqq{{{uuunnnkkkfffaaa^^^]]]___```______```aaadddgggjjjlllssstttvvvyyy{{{}}}~~~~~~}}}}}}}}}~~~~~~~~~}}}{{{yyyyyy{{{}}}}}}}}}}}}~~~~~~~~~~~~}}}}}}|||{{{yyywwwvvvvvvvvvuuutttqqqnnnkkkjjjkkknnnpppqqqooooooppppppooonnnmmmlllgggiiimmmqqqtttuuuuuuuuuzzz~~~vvvddd[[[SSSQQQWWWiii}}}zzzgggcccgggvvvjjj^^^SSSPPPKKKHHHFFFDDDAAA@@@888888777666666666666666555555555444444555555555666666666666666666666666444888;;;;;;===DDDQQQ\\\cccppp|||rrr```]]]WWWZZZeeeooowwwvvvgggcccgggwwwoooddd^^^[[[WWWQQQMMMRRRYYY___dddiiiiiiooozzz}}}|||{{{vvv{{{~~~||||||{{{}}}~~~|||xxxuuuuuuvvvqqqoooooorrruuuzzzwwwwww~~~}}}lllcccfffrrr}}}yyypppjjjhhheeeeeeiiiqqqyyyzzzppp]]]VVVNNNGGGDDD@@@<<<888;;;::::::999999::::::;;;======>>>???BBBEEEHHHJJJMMMPPPUUUYYY]]]aaagggjjjsssyyywwwmmm]]]TTTKKKJJJMMMOOOTTTYYYcccmmmzzzuuujjjaaaXXXSSSNNNMMMJJJIIIIIIKKKMMMNNNQQQYYYddduuuvvvnnnkkkgggaaa]]][[[ZZZYYYXXXZZZZZZZZZ[[[^^^aaaeeegggiiilllppptttuuuwwwyyy{{{yyyzzz{{{~~~~~~~~~~~~~~~}}}zzzyyyyyyzzz|||~~~~~~|||{{{wwwxxxyyyzzzzzzyyywwwuuusssoooiiifffhhhjjjkkkkkkllllllkkkiiifffeeefffgggjjjmmmoooqqqssstttwwwzzzzzz}}}yyyhhh]]]SSSPPPOOOZZZoooqqqiiigggqqqwww___TTTOOOJJJGGGFFFDDD???<<<<<<:::777777777777666444555555555555555555444444555555555555555555444444888999:::;;;???JJJ[[[gggzzz~~~oooaaaXXX\\\cccmmmxxxuuuhhhaaadddkkk~~~oooaaaYYYVVVUUUOOONNNNNNPPPWWWaaakkkqqqssszzz}}}~~~}}}}}}||||||}}}}}}|||zzzxxxvvvtttsssrrrlllnnnnnnnnnpppuuu~~~vvvpppttt}}}yyykkkeeegggssstttkkkhhhgggeeefffkkkrrrzzz~~~{{{qqq```YYYPPPIIIEEEBBB===:::;;;::::::999999::::::;;;<<<======???BBBEEEHHHJJJNNNQQQUUUXXX[[[___dddgggsssyyyssshhh[[[RRRKKKKKKNNNQQQWWW]]]hhhsssrrrggg___XXXSSSNNNLLLJJJHHHIIIJJJMMMOOOTTT[[[fffvvvssskkkfffbbb]]]ZZZXXXXXXWWWVVVTTTTTTTTTVVVXXX[[[___aaadddgggkkknnnppprrruuuvvvvvvwwwzzz}}}}}}{{{yyyxxxxxxzzz|||~~~}}}~~~~~~}}}|||yyyyyyzzzzzzxxxvvvtttrrrpppkkkfffdddfffhhhiiijjjiiiiiijjjhhhgggfffgggiiilllnnnqqqssstttvvvyyy{{{}}}|||jjj___OOOKKKJJJTTTiiitttiiiccclll{{{yyy```TTTPPPJJJHHHGGGEEEAAA>>><<<:::888777777777666555555555555555555555555555555555555555555555555555999:::<<<>>>EEERRRcccppp{{{zzzkkk```YYY]]]dddnnnyyyqqqeee```dddkkk{{{zzziii\\\VVVSSSQQQOOOOOOOOORRRYYYbbblllqqqwww}}}~~~~~~~~~}}}||||||{{{zzzzzzzzzyyyxxxwwwvvvtttrrrqqqpppmmmnnnnnnmmmooosss{{{zzzlllkkksss~~~sssiiifffjjjttt}}}mmmggghhhggggggiiimmmttt{{{|||~~~~~~|||sssccc\\\SSSKKKGGGCCC???;;;;;;::::::999999::::::;;;<<<<<<===???BBBEEEHHHJJJOOOQQQTTTWWWZZZ^^^bbbeeerrrxxx}}}mmmaaaWWWPPPKKKLLLPPPUUU\\\bbbnnnyyywwwkkkccc\\\VVVRRRMMMKKKIIIHHHHHHJJJMMMOOOWWW^^^iiixxx|||ppphhhbbb^^^YYYVVVTTTTTTSSSSSSOOOPPPPPPQQQTTTWWWZZZ[[[^^^aaafffiiikkkmmmppprrrrrruuuxxx{{{~~~}}}~~~~~~}}}{{{zzzyyyxxxxxxzzz|||~~~{{{|||~~~~~~~~~}}}{{{{{{zzzyyyvvvtttqqqpppmmmjjjeeecccdddfffggghhhfffggghhhhhhggggggiiikkknnnpppsssuuuwwwyyy|||~~~mmmaaaOOOJJJGGGNNN```vvv|||nnnbbbggguuu}}}dddTTTOOOJJJHHHGGGFFFCCC@@@<<<:::888777777777666555555555555555555555555555555555555555555555555555999:::<<<@@@IIIYYYkkkxxxzzz~~~yyynnnccc]]][[[```gggppp|||zzzkkkbbb___dddkkkyyynnn___WWWRRROOOLLLOOOOOOQQQUUU]]]fffooottt~~~}}}|||{{{zzzzzzyyyxxxxxxwwwwwwtttttttttsssrrrqqqpppooommmmmmlllkkklllpppvvvzzztttgggjjjvvv|||qqqiiifffqqqwwwtttkkkhhhjjjjjjjjjlllppptttyyy|||{{{|||~~~~~~~~~vvvggg___UUULLLHHHDDD???<<<;;;::::::999999::::::;;;<<<<<<===???BBBFFFIIIKKKNNNPPPTTTWWW[[[___dddgggqqqxxxxxxggg[[[RRRLLLJJJMMMRRRXXXaaaiiisssyyymmmddd^^^YYYUUURRRMMMKKKHHHGGGHHHKKKNNNQQQZZZaaalll{{{zzznnnfff```\\\WWWSSSQQQPPPOOONNNNNNOOOOOOQQQSSSUUUXXXYYY[[[^^^bbbeeegggiiimmmooopppssswwwzzz{{{|||}}}}}}|||}}}~~~|||{{{{{{zzzyyyyyyyyy{{{}}}~~~zzz{{{|||~~~~~~~~~}}}|||zzzxxxvvvtttsssrrrpppmmmiiifffeeeeeeffffffeeeggghhhhhhggghhhjjjlllpppsssvvvxxxzzz|||ooocccUUUMMMGGGJJJVVViiittteeefffssshhhSSSOOOIIIGGGFFFFFFCCC@@@<<<:::888777888888666555444444444555555555555555555555555555666666666666888888:::@@@JJJ[[[mmmzzzyyy|||}}}wwwlllaaa[[[YYY]]]ccciiiqqq~~~vvviiiaaa___fffnnn}}}xxxcccWWWRRROOOLLLJJJMMMOOOSSSZZZbbbllluuuzzz~~~~~~~~~}}}xxxxxxxxxwwwvvvvvvuuutttssssssttttttsssrrrqqqpppmmmllljjjiiiiiilllpppsssqqqfffkkkxxx{{{pppiiihhhxxx{{{wwwnnnlllnnnoooooonnnoooqqqtttwwwyyyzzz{{{}}}~~~yyyiiiaaaVVVMMMHHHDDD???<<<;;;::::::999999::::::;;;;;;<<<===???BBBFFFIIIKKKLLLOOOTTTXXX\\\bbbgggkkkqqqxxxtttcccWWWMMMJJJJJJOOOUUU\\\fffooo{{{uuunnnddd]]]ZZZWWWSSSQQQMMMKKKHHHGGGHHHLLLPPPSSS\\\cccoooyyynnnfffaaa]]]WWWRRROOONNNLLLKKKMMMNNNOOOPPPRRRUUUVVVWWWXXXZZZ]]]___aaadddgggjjjmmmqqqvvvxxxxxxxxxyyy{{{|||}}}}}}{{{zzz{{{{{{zzzzzzzzz{{{|||}}}xxxzzz{{{}}}~~~~~~~~~}}}}}}|||zzzxxxwwwwwwwwwwwwwwwuuupppkkkgggeeeeeeeeeggghhhiiihhhhhhhhhjjjlllrrruuuxxxzzz|||pppcccWWWOOOHHHHHHOOO___wwwyyyiiigggqqq~~~zzzhhhSSSNNNHHHEEEEEEEEECCC@@@===;;;888888888888777555444444444555555555666666555555555666666666777777999999;;;AAALLL\\\mmmxxxwwwxxxwwwnnnbbbYYYWWWXXX```fffkkkqqq}}}uuuiiiccccccjjjssspppZZZRRRPPPNNNLLLLLLLLLPPPVVV___iiittt||||||~~~}}}|||}}}wwwwwwwwwwwwvvvuuutttssstttuuuvvvwwwvvvuuusssrrrmmmjjjhhhfffggghhhkkklll{{{oooffflllxxxzzzpppjjjkkk{{{}}}yyyqqqmmmoootttsssrrrqqqpppqqqsssvvvxxxyyy{{{}}}|||mmmdddXXXNNNHHHDDD@@@===;;;::::::999999::::::;;;;;;;;;===???BBBFFFJJJLLLKKKOOOTTTXXX]]]ccciiimmmrrryyy~~~nnn^^^TTTLLLJJJLLLRRRYYY```lllvvvwwwhhhccc]]]YYYXXXVVVRRROOONNNLLLIIIGGGIIIMMMRRRVVV^^^ffftttzzznnngggaaa\\\VVVRRROOOMMMKKKJJJKKKLLLNNNOOOQQQSSSTTTUUUUUUWWWYYYZZZ[[[]]]aaaccciiinnnsssvvvvvvvvvxxxzzz}}}}}}~~~~~~}}}|||{{{zzz{{{{{{zzzzzzzzzzzzzzz{{{xxxyyy{{{|||}}}}}}}}}||||||{{{yyyxxxwwwxxxzzz{{{{{{zzzvvvoooiiieeedddeeehhhiiijjjiiiiiiiiikkkmmmsssvvvyyy|||~~~qqqeeeTTTMMMHHHHHHLLLXXXqqq}}}mmmhhhlllwwwuuuiiiUUUPPPIIIFFFEEEEEECCCAAA===;;;999888888888777666333333444444555666666666555555555666666777777888:::;;;>>>DDDPPP___nnnvvvvvvvvvrrriii^^^WWWWWWYYYbbbhhhlllooo{{{tttkkkgggiiirrr{{{|||hhhUUUPPPPPPNNNMMMPPPOOOSSS[[[eeepppyyy}}}~~~}}}zzz|||}}}{{{wwwxxxxxxyyyxxxvvvuuutttvvvwwwxxxyyyxxxvvvtttssskkkhhheeecccdddfffffffffwwwmmmhhhnnnyyy|||uuunnnllloooyyy~~~}}}uuuqqqoooqqqvvvuuusssqqqpppqqqtttxxxzzzyyy{{{~~~~~~pppggg[[[PPPJJJFFFAAA>>>;;;::::::999999::::::;;;:::;;;<<>>GGGSSSaaammmtttvvvtttoooggg___[[[[[[^^^ccciiilllmmmxxxssslllkkkooozzzuuubbbRRRPPPPPPMMMNNNTTTTTTYYYaaakkkttt|||~~~~~~}}}zzz{{{}}}}}}|||zzzyyyyyyzzz{{{zzzyyywwwuuuuuuvvvxxxxxxwwwuuusssqqqiiifffbbbaaabbbdddcccbbbuuunnnjjjqqq||||||xxxqqqlllmmmssswww~~~yyyuuurrrppprrrvvvuuusssqqqpppqqquuuyyy|||zzz|||~~~sssjjj]]]RRRLLLGGGCCC@@@;;;::::::999999::::::;;;:::;;;<<>>===<<<;;;:::999:::;;;<<<;;;;;;;;;===@@@CCCGGGIIILLLNNNQQQUUUYYY___ggglllpppxxxzzzmmm```UUUMMMLLLQQQXXX```hhhsss~~~yyyhhh\\\VVVUUUVVVWWWWWWWWWUUUSSSRRRNNNJJJIIIKKKKKKMMMSSS[[[dddlll|||xxxllldddZZZVVVQQQNNNNNNOOOQQQQQQOOOPPPQQQRRRSSSTTTUUUVVVWWWXXXYYYYYYYYYZZZ]]]```___dddkkkqqquuuwwwyyy{{{~~~}}}{{{{{{{{{|||}}}wwwwwwwwwwwwxxxyyyyyyzzzxxxyyyzzzzzzxxxxxxyyy{{{~~~|||yyyvvvuuuuuuwwwxxxuuusssoookkkfffcccaaa___fffhhhjjjllloooqqqssstttssstttvvv{{{xxxjjj\\\RRRJJJGGGEEEHHHXXXkkkuuunnnooowww~~~|||wwwyyyhhh[[[NNNIIIGGGDDDCCCCCC===<<<;;;999888777777777777777777777777777777777777666666666666888999::::::<<>>FFFRRR^^^gggkkklllqqqmmmjjjiiifffcccdddiiitttvvvwwwwww{{{|||}}}xxxrrrpppvvvvvvfffYYYQQQQQQRRRPPPVVV```mmmttt~~~|||{{{zzzzzz{{{}}}~~~{{{zzzyyyyyyyyy|||}}}|||xxxuuuuuuuuurrrrrrrrrqqqooonnnlllkkkeeebbb^^^YYYWWWVVVWWWWWWdddjjjqqqxxx|||oooiiikkkqqqsss}}}xxxqqqppptttzzz~~~}}}yyyxxx|||~~~wwwqqqggg\\\TTTLLLFFFBBB===<<<;;;:::999:::;;;;;;;;;;;;;;;<<>>===;;;:::888777777777555555555555555555555555777666666666666888999:::<<>>===;;;:::999999:::;;;::::::;;;<<>><<<:::888777777666555555555555555555555555777666666666666888999:::<<>>===;;;:::999999:::::::::::::::<<<>>>BBBFFFHHHMMMNNNOOOQQQTTTZZZaaagggkkkpppwww}}}|||lll\\\RRRQQQTTTZZZ^^^fffppp|||tttbbbUUUPPPPPPRRRWWWZZZ]]]```___[[[WWWTTTNNNKKKJJJMMMOOOQQQYYY```iiiuuussskkkeee___ZZZTTTQQQNNNMMMNNNPPPQQQQQQRRRRRRSSSTTTVVVWWWXXXYYY]]]___```aaaccceeeiiilllrrruuuyyy{{{|||}}}~~~}}}{{{yyyxxxwwwvvvuuuuuuuuuuuusssuuuuuuuuusssssssssuuuuuutttrrrqqqqqqqqqqqqrrrpppooonnnllljjjiiihhhhhhfffgggiiilllpppuuuzzz||||||zzzzzz|||yyytttiii^^^TTTOOOIIICCCGGGQQQ```www~~~rrroooqqq~~~uuu[[[OOOLLLIIICCC??????>>><<<:::999777777666666666666666666666666666777666666666666888999:::===EEERRR```iiinnnoooooorrrjjj```ZZZVVVUUU\\\eeeqqqxxx}}}~~~~~~zzzvvvpppmmmttt}}}nnnYYYUUURRRRRRWWWaaarrr~~~zzzzzzzzz{{{}}}}}}yyywwwuuusssrrrqqqqqqrrrssssssrrrqqqpppjjjjjjjjjjjjiiigggffffffbbb___YYYUUURRRRRRSSSTTTmmmyyy}}}|||~~~uuuqqqjjjccc[[[SSSJJJEEE???===<<<:::999999999::::::::::::;;;>>>BBBEEEHHHLLLNNNPPPRRRUUUYYY```dddhhhlllrrrxxx}}}}}}rrrcccWWWRRRSSSVVV\\\aaajjjuuu{{{jjjZZZQQQOOORRRVVVYYY\\\```cccaaa]]]WWWRRRNNNKKKKKKNNNPPPSSSZZZbbbooo{{{}}}ppphhhccc^^^ZZZSSSPPPNNNNNNOOOQQQRRRRRRQQQRRRTTTUUUXXXYYY[[[\\\^^^```bbbdddfffjjjooorrrxxx|||~~~|||{{{vvvvvvuuuuuuuuuuuuuuuvvvtttuuuvvvuuusssqqqrrrsssssssssrrrqqqqqqqqqqqqqqqrrrqqqooollljjjiiihhhgggffffffhhhkkkoootttyyy|||}}}}}}wwwsssuuuzzz{{{xxxnnnaaaVVVQQQJJJDDDFFFNNN\\\sssvvvpppooovvv~~~~~~cccSSSMMMHHHCCCAAA@@@???===;;;999777777666777777777777777777777777777666666666666888999:::???HHHVVVccckkkoooqqqrrrqqqhhh]]]UUUQQQSSS\\\gggrrrzzz~~~zzzrrrnnnmmmuuu~~~vvvgggYYYVVVSSSTTT\\\jjj{{{}}}zzzzzzzzz|||{{{xxxwwwvvvtttrrrooonnnnnnpppqqqqqqooollliiiiiiiiihhhhhhgggeeeeee```^^^ZZZVVVSSSRRRRRRRRRyyy}}}vvvrrrlllfff^^^VVVMMMGGG???>>><<<:::999999999999:::999:::;;;>>>BBBEEEGGGJJJLLLOOORRRTTTXXX]]]```eeehhhnnnttt{{{}}}uuuiii]]]UUUTTTWWWZZZ___dddnnnzzzzzzpppaaaTTTNNNPPPTTTXXX[[[___ccceeeccc]]]VVVQQQNNNKKKKKKNNNQQQTTT\\\dddrrryyymmmgggbbb]]]YYYRRRQQQOOOOOOQQQRRRSSSSSSRRRSSSUUUXXX[[[]]]___```ccceeehhhkkknnnsssxxx|||}}}|||{{{vvvvvvuuutttttttttuuuuuussstttuuutttsssrrrssstttrrrrrrrrrqqqqqqqqqqqqqqqqqqpppooommmkkkjjjiiiiiigggggghhhjjjnnnsssxxx{{{~~~~~~{{{zzzwwwuuuyyy}}}tttfffXXXRRRKKKCCCEEELLLUUUlllyyypppkkknnnwwwkkkYYYOOOHHHEEEEEEAAA@@@===;;;999777666666666666666666666666666666777666666666666888999:::BBBLLLZZZfffmmmqqqtttuuummmcccXXXRRRQQQVVVbbbooo}}}zzzmmmkkkmmmuuuooocccZZZWWWTTTVVVaaarrr{{{{{{{{{}}}}}}zzzxxxwwwvvvuuussspppnnnmmmnnnooonnnjjjgggggggggggggggfffeeedddccc___]]]ZZZWWWUUUSSSQQQQQQyyy}}}}}}wwwtttnnnhhhaaaXXXOOOIII???>>><<<:::999999999999999999:::;;;>>>BBBEEEGGGHHHJJJNNNRRRTTTWWWZZZ]]]cccffflllrrrzzzzzzqqqdddYYYUUUWWWZZZ]]]bbbgggqqq}}}sssiii\\\QQQMMMPPPVVVZZZ]]]```dddfffddd]]]UUUPPPNNNKKKLLLOOORRRUUU\\\eeerrrwwwlllfffbbb\\\XXXRRRQQQOOOOOOQQQSSSTTTTTTSSSTTTWWWZZZ]]]```bbbccciiilllooosssvvv||||||{{{{{{wwwwwwvvvttttttsssssssssrrrsssttttttssssssuuuvvvrrrrrrrrrqqqqqqqqqqqqqqqpppooonnnmmmlllkkkkkkkkkiiihhhiiikkkoootttxxx{{{{{{yyyzzzzzzzzzyyyiii[[[SSSKKKCCCCCCJJJOOOfff{{{pppiiiiiirrr~~~qqq]]]PPPHHHFFFHHHAAA@@@>>>;;;999777666666555555555555555555555555777666666666666888999:::EEENNN\\\hhhooosssvvvxxxhhh___UUUQQQRRRYYYiiiwww{{{iiiiiilllttt~~~nnnccc\\\YYYUUUXXXeeevvv~~~{{{{{{|||~~~~~~|||yyyxxxxxxwwwuuutttrrrpppnnnmmmmmmlllgggccceeeeeeeeeeeeeeedddcccbbb^^^]]][[[YYYVVVSSSQQQPPP