BM6P6(@ 000111111111111222222222777888<<>>999777777777666111222222222222111000000222111000///............000///---,,,,,,+++)))(((++++++---......---+++++++++++++++++++++***)))(((+++++++++***)))(((((('''))))))))))))(((((((((((('''''''''''''''''''''''')))))))))))))))))))))))))))((('''&&&&&&'''((()))''''''''''''(((((((((((((((((('''''''''&&&&&&&&&&&&'''''''''(((((())))))(((((('''''''''&&&&&&&&&((((((((((((((((((((((((''''''''''''''''''''''''((((((''''''''''''(((((((((((((((((())))))))))))((((((((((((''''''''''''(((((((((((())))))))))))(((((()))***+++,,,,,,,,,))))))))))))************,,,+++*********+++,,,---------......///000000000888555777@@@PPPhhhvvvhhhVVVNNNKKKOOOPPPOOOXXXeeennnuuu|||zzzqqqmmmbbbTTTIIIDDDCCCBBBAAASSS```ppp|||~~~gggOOO@@@999333222555444555888<<<@@@@@@???<<<>>>>>>===<<<:::888777666333222111000///---,,,,,,////////////////////////......///000111222333333000000111111111222222222111111444:::@@@LLL___pppqqqgggbbbhhhsss~~~|||{{{tttrrrtttwww~~~iiiWWWIIIDDD===999777777666555222222222222222111111000222111000///............///...,,,,,,,,,,,,***(((++++++,,,,,,,,,,,,+++++++++++++++++++++***)))))),,,,,,++++++***))))))((())))))))))))(((((((((''''''''''''''''''''''''''''''''''''''''''''''''''')))((('''&&&&&&'''((()))''''''''''''(((((((((((((((((('''''''''&&&&&&&&&&&&'''''''''((((((((()))(((((('''''''''&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''((((((''''''''''''(((((('''((((((((())))))))))))(((((((((((((((((((((((((((((((((((())))))))))))((((((((())))))******+++))))))))))))************++++++*********+++,,,---,,,------......//////000000111555:::DDDVVVsssyyyhhhZZZPPPPPPPPPNNNRRRZZZjjjttt~~~vvvkkkZZZKKKAAA======>>>GGGTTTcccqqqvvv\\\III<<<333000333222333666<<>>=========<<<;;;888666555555444222111000///.../////////////////////////////////000111111222222000000000111111111222222222222444777:::@@@NNN\\\uuu}}}nnnllljjjjjjqqq~~~}}}}}}wwwmmmhhhkkkrrryyyvvvjjjZZZLLLCCC???;;;888777666555333222333333333333222111111111000///......---.........,,,++++++,,,,,,+++***++++++************++++++***++++++++++++***)))))),,,,,,,,,++++++******))))))))))))(((((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''(((((('''&&&&&&'''((((((''''''''''''(((((((((((('''''''''''''''&&&&&&&&&'''''''''''''''((((((((('''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''(((((((((''''''(((((((((''''''((((((((()))))))))))))))))))))))))))))))))(((((((((((())))))))))))((((((((((((((())))))))))))))))))*********++++++++++++******++++++,,,---++++++,,,------......///+++...333555777BBBZZZqqq|||jjjYYYTTTQQQNNNNNNRRRdddrrrxxxfffSSSCCC<<<;;;===>>>HHHUUUcccuuupppYYYEEE777222333222222555:::AAAFFFIIIJJJAAA???======>>>>>>:::777888777666555444222111111////////////////////////000000000000000000000000000000000000111111111111444444555888888:::CCCLLLbbbsssxxxnnniiippp~~~}}}}}}zzzwwwqqqllllllpppyyyyyykkk```VVVLLLCCC<<<;;;:::888777555333222333333333333333222111111000000///...------------,,,+++***+++,,,---,,,++++++***)))(((((()))***+++******+++++++++******)))+++++++++*********))))))))))))((((((((('''''''''''''''''''''''''''''''''))))))))))))))))))))))))''''''''''''''''''''''''''''''''''''((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''(((((((((((('''''''''''''''((((((((())))))))))))))))))************(((((((((((()))))))))))))))))))))))))))((((((((())))))*********++++++++++++***++++++++++++,,,,,,***++++++,,,,,,---.........///222444444999JJJZZZvvvyyyggg\\\UUUOOONNNPPP[[[lllvvvbbbOOOBBB>>>>>>===BBBJJJWWWhhh|||kkkTTTBBB888666444333333777===DDDHHHJJJHHHCCC>>><<<======:::777999999888666555444333222////////////////////////111111111111000000////////////000000000111111111111000111444444444999???QQQ```vvvuuunnnmmmnnn}}}}}}{{{{{{}}}yyynnnqqqtttwwwzzz~~~rrrbbbVVVNNNHHHAAA>>>777888888888666444222111222333333333333222111111000///...---,,,,,,,,,,,,+++***)))***,,,---,,,++++++***((((((((((((***+++)))******+++++++++******))))))))))))((((((((((((((((((((((((''''''''''''''''''''''''''''''''''''))))))))))))))))))))))))&&&&&&''''''''''''&&&&&&''''''''''''((((((((((((&&&''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&'''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''((())))))(((''''''''''''''''''((((((((((((((()))))))))*********+++(((((((((((())))))))))))*********************)))************++++++++++++******++++++,,,,,,,,,,,,******++++++,,,---------222//////222555888@@@HHH___vvvwwwhhhZZZPPPNNNPPPOOObbbwwwsss^^^MMMCCC???>>>>>>BBBLLL[[[nnn}}}fffQQQBBB:::666333111222888@@@FFFJJJNNNIIIBBB===<<<<<<:::999999999888777555444333222000000000000000000000000222222111111000//////////////////000000000111111000///000333444222555:::CCCMMM___rrrrrrjjjkkkttt~~~||||||~~~uuupppttt{{{jjj]]]NNNGGGCCC>>>;;;:::555666888777555222111111111222222222222111000000//////---,,,,,,,,,,,,,,,+++***)))***+++,,,+++*********))))))))))))******))))))***++++++++++++***((((((((((((((((((((((((((((((((('''''''''&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&''''''''''''((((((((((((&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&'''((())))))((('''&&&&&&&&&'''''''''((((((((('''(((((())))))*********(((((((((((())))))))))))***************+++++++++*********++++++++++++,,,)))***+++,,,,,,,,,,,,+++******+++,,,,,,------...222...---111444555888===NNN___xxxrrraaaTTTMMMKKKEEEUUUhhhvvvooo^^^OOOGGGEEE@@@>>>DDDOOO^^^ppp~~~wwwdddRRRFFF<<<777222111555===DDDIIIOOOMMMIIIDDD???===<<<<<<:::999888777555444333333000000000000000000000000222111111111000000//////////////////000000000111333111222555555333555999999>>>IIIWWWhhhvvvqqqrrrtttzzzzzzxxxyyyzzznnnYYYMMMBBB???>>>:::777777444666888777444111111222000111111111111000/////////...---,,,++++++++++++,,,***)))***++++++***))))))******++++++******)))))))))***+++++++++++++++((((((((((((((()))))))))(((((('''''''''&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%''''''''''''((((((((((((&&&&&&&&&'''''''''(((((('''''''''&&&&&&%%%%%%%%%&&&&&&&&&'''''''''((((((''''''''''''''''''''''''''''''''''''''''''''''''&&&'''((())))))((('''&&&&&&&&&&&&'''''''''((((((&&&&&&'''(((((()))******(((((((((((())))))))))))(((((())))))******++++++*********+++++++++,,,,,,)))***+++,,,,,,,,,++++++++++++,,,,,,---.........000...///111000///222777AAAKKK]]]sssvvvjjj]]]PPPHHHBBBKKKVVVaaaooovvviii```VVVLLLDDDCCCGGGPPP^^^lll|||zzzjjj]]]KKKDDD:::444444999???CCCKKKNNNQQQNNNHHHBBB@@@@@@;;;:::999888666555444444000000000000000000000000111111111000000000000000////////////000000000000222000000222333111222555444666;;;EEETTTeeevvvvvvqqqttt}}}xxxrrrssszzzsss^^^QQQEEE<<<<<<<<<777555555555777888666333000111222000000000000000///............---,,,++++++++++++,,,+++******++++++***((()))***+++,,,,,,+++***)))((()))***+++++++++++++++)))))))))))))))*********(((((('''''''''&&&&&&&&&''''''''''''''''''''''''))))))))))))))))))))))))%%%%%%&&&''''''&&&%%%%%%''''''''''''((((((((()))&&&&&&&&&'''''''''(((((('''''''''&&&&&&%%%%%%%%%&&&&&&&&&'''''''''((((((((((((((((((((((((((((((''''''''''''''''''''''''&&&'''(((******((('''&&&&&&&&&&&&'''''''''((((((%%%&&&&&&'''((())))))***(((((((((((())))))))))))&&&''''''((()))******+++******+++++++++,,,,,,,,,)))***+++,,,---,,,+++++++++,,,,,,------......//////000333333...***///666:::???KKK```uuu|||wwwpppeeeUUUGGGDDDGGGJJJQQQ___sssyyyiii[[[MMMGGGEEEGGGRRR^^^nnn{{{~~~rrr[[[QQQCCC888333555888;;;FFFNNNVVVVVVOOOGGGCCCCCC<<<;;;:::999777666555555000000000000000000000000000000000000000000111111,,,,,,,,,------///000000000111111111222222222222444444666999BBBOOO^^^hhhzzz{{{vvvsssrrryyywwwfff\\\JJJFFFAAA;;;666444333333222222222111111111111000////////////...............---,,,+++***+++,,,,,,------,,,+++************+++*********))))))(((((())))))))))))))))))))))))******))))))(((((('''''')))'''%%%&&&)))***(((&&&&&&&&&&&&&&&&&&'''(((((())))))((((((''''''&&&&&&(((((('''''''''&&&&&&&&&''''''''''''''''''''''''''''''''''''((((((((((((%%%&&&&&&&&&'''(((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((&&&&&&&&&''''''''''''(((((((((((((((((((((((((((&&&&&&&&&''''''''''''((((((((()))***************))))))))))))(((((((((((()))************++++++++++++++++++*********))))))++++++,,,,,,,,,,,,------------,,,+++,,,---...///:::888<<>>555333666999===DDDOOOZZZ\\\YYYSSSNNNGGG@@@=========<<<:::777555333222111...,,,...//////////////////000...............///000111.........////////////000///000111222333666:::===EEEPPPbbbuuuyyykkkccc___``````aaaiiiuuuvvveeeTTTHHHAAA>>><<<=========<<<:::777555333333333333333222222222222//////.........---------,,,,,,,,,+++++++++++++++......,,,***)))((((((((())))))))))))))))))((((((((((((((((((((((((((((((''''''(((((())))))******((((((''''''((((((((('''%%%%%%%%%$$$%%%&&&&&&'''&&&&&&&&&''''''(((((((((''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&'''''''''((((((((((((((('''&&&&&&&&&%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((&&&&&&&&&''''''''''''(((((((((((((((((((((((((((''''''((((((((()))))))))'''(((((()))))))))))))))(((((((((((())))))))))))))))))))))))************************))))))))))))***++++++++++++,,,,,,,,,---------.........//////......000333666???QQQbbb{{{uuurrrqqqmmmfff```SSSLLLEEEAAA???===BBBHHHMMMVVVaaajjjssshhhOOOCCCAAA@@@GGGQQQZZZcccllluuuyyy}}}}}}xxxkkkXXXFFF:::444777666666:::DDDQQQYYY\\\[[[XXXOOOFFFAAAAAAAAA@@@:::999666555444222///---.........//////000000000///............//////000---.........////////////...///111222333444777999999AAAOOO```qqq~~~uuuiii^^^WWWTTTXXX]]]bbbiiivvv{{{fff^^^QQQFFF???<<<;;;:::888999::::::888666444333333333333222222222111111............------------,,,,,,,,,+++++++++******...---+++***)))((((((((((((((((((((((((((())))))((((((((((((((((((((((((''''''(((((())))))******'''(((((((((''''''((((((((((((''''''(((((()))***%%%%%%&&&&&&''''''((((((&&&'''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''''''''((((((((('''&&&&&&&&&%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((&&&&&&&&&''''''''''''(((((((((((((((((((((((((((&&&&&&'''''''''(((((((((''''''((()))))))))))))))'''((((((((()))))))))***(((((()))))))))*********))))))))))))))))))))))))*********+++++++++,,,,,,---------...............000000111222222666DDDSSSjjj|||xxxwwwuuupppkkk___VVVMMMHHHBBB======@@@CCCJJJTTT\\\dddqqq{{{aaaMMMBBB???AAAEEEKKKSSSZZZccciiisssvvvxxxrrrdddSSSDDD<<<777555444555:::DDDRRR\\\aaabbb\\\QQQIIIHHHEEE@@@;;;999777555555444222000.../////////000111111111......---------......///............///////////////000222222111000111333333999BBBMMMZZZiiiwwwrrrfff[[[YYYUUUSSSVVV^^^iiiqqq}}}zzz|||ttthhhOOOJJJCCC===;;;999888888555666777777666444333222000000000////////////............------------,,,+++++++++,,,+++******))),,,+++***)))))))))))))))''''''(((((((((((())))))))))))))))))))))))))))))(((((((((((())))))))))))'''((()))((('''&&&''')))&&&&&&&&&&&&&&&'''((((((&&&&&&&&&&&&&&&'''''''''&&&&&&&&&'''''''''''''''''''''''''''''''''''''''%%%&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((&&&&&&&&&''''''''''''(((((((((((((((((((((((((((&&&&&&&&&&&&''''''''''''&&&'''(((((())))))((((((''''''(((((())))))******((((((((()))))))))******(((((()))))))))))))))***************+++++++++++++++,,,------......------///...///111000111:::DDDVVVnnn|||nnndddYYYRRRJJJAAA======>>>AAAHHHQQQXXXdddvvvsssYYYFFF>>>;;;;;;???EEEJJJRRRYYYccchhhoooqqqlll___PPPFFF:::777555444666<<>>EEERRRcccooowwwvvvoooddd]]]ZZZ[[[\\\]]]eeekkkttt}}}zzzpppoooooopppttt}}}}}}zzzxxxyyy}}}qqq```VVVDDDAAA===999888888777666444444444333333222111000/////////.........------.........---------,,,,,,***++++++,,,+++***)))(((******))))))))))))******'''''''''((((((((())))))))))))))))))))))))))))))))))))))))))((((((((((((&&&((())))))'''&&&''')))$$$$$$######$$$$$$%%%&&&'''&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&'''''''''((((((''''''''''''''''''''''''%%%%%%&&&&&&&&&'''''''''&&&&&&&&&'''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((&&&&&&&&&''''''''''''(((((((((((((((((((((((((((''''''''''''((((((((((((&&&'''(((((())))))(((((('''''''''((()))*********(((((((((((()))))))))***(((((((((((())))))******************++++++++++++***+++,,,---------,,,+++...,,,---000000000444:::EEEYYYtttuuuiii```UUUJJJAAA???===<<>>KKK___pppttttttrrrhhhZZZLLLGGG@@@;;;888888888777444444444333333222222222,,,,,,,,,,,,,,,,,,,,,,,,---------............///......///000000000000000---333777666333666AAAKKKZZZgggzzzzzzwwwzzz}}}~~~}}}}}}qqqhhh]]]ZZZUUUTTTWWW\\\```bbbzzz~~~zzzzzzyyyzzz|||}}}~~~xxxsssiii```YYYYYY^^^bbbgggkkksss}}}|||uuuqqqtttxxx|||uuueeeVVVJJJEEEEEE>>><<<999666555444555555555444333222111111111111////////////............///......------,,,++++++---,,,***)))))))))******))))))))))))))))))))))))%%%&&&&&&'''''''''''''''))))))))))))))))))))))))((((((((((((''''''''''''''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&''''''((((((((((((''''''&&&&&&&&&''''''''''''(((%%%%%%%%%&&&&&&&&&''''''((('''&&&%%%%%%%%%%%%%%%%%%&&&'''(((((('''&&&%%%''''''''''''''''''''''''&&&'''(((******((('''&&&''''''''''''''''''''''''''''''((((((((((((''''''$$$$$$$$$$$$$$$$$$$$$$$$******))))))((((((''''''))))))))))))))))))))))))************)))))))))))))))))))))))))))))))))))))))))))))))))))(((((('''+++***)))((()))***+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---...000111111222222888@@@MMM```wwwrrriii]]]NNNCCC???<<<:::===@@@EEEOOOXXXjjjvvv|||nnn[[[III======>>>:::999>>>BBBOOO___ooosssaaaLLL@@@999555888>>>@@@SSSjjjzzzwwwiiiVVVJJJAAA@@@???:::777888888777666666666666333111,,,,,,,,,,,,,,,,,,,,,,,,---------............///......///000000000000000000333555444222444===DDDPPP]]]ppp}}}zzz{{{}}}|||{{{tttmmmaaaXXXTTTTTTUUUUUUYYY^^^fffoooyyyzzzyyyxxxyyy{{{}}}xxxqqqjjjeee___]]]ZZZXXXYYY]]]eeejjjwww{{{zzzxxx|||~~~qqqaaaTTTIII???;;;<<<<<<;;;888666444444444555444333222111111000000000////////////............,,,,,,------------------,,,,,,***)))))))))******))))))))))))))))))))))))&&&&&&'''(((((((((((('''))))))))))))))))))))))))((((((((((((''''''''''''''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&''''''''''''%%%&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%%%%%%%%%%&&&%%%&&&'''(((((('''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((())))))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((((((((''''''''''''''''''''''''''''''))))))))))))((((((''''''''''''''''''''''''''''''))))))))))))))))))))))))))))))))))))))))))))))))%%%&&&''')))******++++++***************+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---...///000111111111555;;;DDDRRRddd|||{{{qqqfffYYYOOOCCC>>>;;;<<<===@@@HHHQQQ___lllxxx}}}~~~kkkWWWGGGCCC@@@;;;:::???@@@NNN___qqqwwwaaaOOOBBB999888===<<>>AAA@@@LLL]]]pppxxxcccNNN>>>999::::::@@@LLL___vvvooobbbSSSIIICCC???>>>@@@;;;:::888777888888777555++++++,,,,,,,,,,,,---------------............///---...//////000000//////333111000///111333555555777@@@NNN[[[gggsss~~~zzzlllaaaZZZSSSPPPLLLJJJJJJLLLNNNOOOWWW[[[aaaffflllrrrzzz|||sssjjjbbb^^^[[[XXXTTTRRRRRRSSSUUUVVV___dddlllssszzzsssfffTTTLLLCCC@@@<<<999888;;;777666555444333222333333111111111000000///...---//////.........---------++++++,,,,,,,,,---------++++++******************))))))))))))))))))))))))'''(((((()))))))))))))))((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&&&&&&&%%%%%%%%%'''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''((((((''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((((((((((((((())))))))))))))))))))))))''''''''''''(((((((((((((((((((((((((((((((((((()))************)))(((((()))***,,,---------,,,+++++++++++++++++++++++++++,,,---------...///000000333777::::::>>>LLLbbbttt|||rrriiicccWWWPPPHHHCCC>>>;;;???FFFKKKZZZlll{{{mmmaaaVVVKKKDDDCCCAAAJJJYYYjjj}}}vvv^^^III===999:::;;;@@@MMMaaauuuzzzqqqdddYYYQQQKKKGGGEEEDDDAAA===:::999888777666+++++++++,,,,,,------------------............///------...///////////////222000...000333555555444444888@@@IIITTTbbbrrr|||~~~uuubbb[[[QQQJJJHHHIIIJJJJJJFFFHHHLLLPPPUUU[[[aaaeeeooovvv}}}wwwtttmmmjjjeee___YYYTTTPPPOOOMMMNNNPPPSSSXXX^^^eeeiiipppuuu|||qqq]]]QQQFFF???:::999888555444777555555444333333333333333000000111000000///------............------------------,,,,,,,,,+++++++++************+++*********))))))))))))))))))))))))'''(((((()))))))))))))))((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''''''''''''''%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''''''''((((((((())))))))))))))))))))))))&&&'''''''''((((((((()))((((((((((((((((((((((((***************))))))((()))***+++,,,---,,,+++***++++++++++++++++++++++++------,,,,,,---...///000111555888777666>>>MMMZZZpppzzzrrrmmmccc\\\SSSKKKCCC>>>???DDDGGGWWWmmmzzzkkkZZZLLLEEECCCHHHSSSbbbsssttt]]]JJJ@@@;;;999:::@@@KKK\\\nnn{{{yyypppfff[[[QQQIIIHHHEEE???<<<:::999999888***++++++,,,,,,------...---------............///------...////////////...000//////111333444444333222555888<<>>III\\\lll}}}{{{ooo```TTTMMMHHHBBB>>><<<<<<<<<;;;******+++,,,,,,---......---------............///,,,---......//////.........///111222222111111111111222444666:::BBBNNNWWWkkkuuu{{{qqqhhh^^^WWWRRRNNNHHHDDDBBBCCCEEEFFFHHHLLLQQQWWW___hhhqqqwww}}}uuunnnddd```[[[UUUPPPMMMKKKKKKFFFEEEEEEGGGLLLRRRXXX[[[ccciiirrrzzz||||||tttiii[[[KKK@@@>>>>>>999888::::::888666888333333444444444444444333000111222222111000...---.........---------,,,,,,,,,,,,++++++++++++++++++((()))***+++,,,++++++***))))))))))))))))))))))))&&&&&&'''(((((((((((('''))))))))))))))))))))))))((((((((((((''''''''''''''''''''''''''''''''''''$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&###$$$$$$%%%&&&'''((((((%%%%%%%%%%%%%%%&&&'''(((&&&&&&%%%$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%((((((((((((((((((((((((&&&&&&&&&'''''''''((((((''''''''''''''''''''''''''''''((())))))***++++++))))))))))))))))))))))))'''((()))***+++,,,,,,,,,))))))(((((())))))***+++************************---,,,+++***+++,,,...///,,,///111111///111555:::FFFTTTiii}}}{{{qqqfffXXXJJJDDDEEECCCPPPdddxxxssseeeSSSNNNLLLPPPWWWbbbttttttcccPPPGGG???;;;;;;@@@LLLYYYkkkyyyxxxkkk[[[UUUMMMFFFAAA???>>>===******+++,,,,,,---......---------.........//////,,,---......//////......---000222222000......//////111333444555:::BBBHHHSSS___nnnwww{{{}}}ttt___YYYQQQIIIEEEEEEEEEEEEHHHHHHIIIJJJLLLQQQXXX]]]aaagggnnnssswww}}}~~~vvvpppiiidddbbb]]]VVVQQQNNNMMMKKKIIIGGGFFFFFFEEEIIIJJJKKKPPPWWW```hhhmmmyyy||||||uuuiii\\\TTTKKKAAA===???999555444888999666555666333333444555555555444444000111222333222000...---......---------,,,,,,,,,*********++++++,,,------((()))***+++,,,,,,+++***))))))))))))))))))))))))%%%&&&&&&''''''''''''''')))))))))))))))))))))))))))(((((((((''''''''''''''''''''''''''''''''''''$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&"""###$$$%%%'''((())))))%%%%%%%%%%%%%%%&&&'''(((&&&&&&$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%((((((((((((((((((((((((&&&&&&&&&'''''''''(((((())))))))))))))))))))))))'''(((((()))***++++++,,,***************************++++++++++++***)))))))))((('''''''''(((***+++************************...,,,+++******,,,---///...////////////111444666999DDDVVVlllrrrbbbRRRIIIHHHCCCMMM]]]ooo}}}{{{\\\SSSKKKIIIJJJQQQbbbsssppp```RRRDDD???======CCCKKKXXXkkkkkkdddYYYNNNGGGBBB???===++++++++++++++++++++++++++++++++++++++++++++++++...------------...//////000000///////////////000333333333444555666888888HHHOOOZZZfffqqq{{{yyymmmaaaXXXRRRNNNLLLHHHHHHGGGGGGGGGHHHIIIJJJRRRUUUWWWYYY[[[___ffflllsssxxx}}}xxxvvvrrrnnniiieeecccaaaYYYWWWSSSPPPLLLJJJHHHHHHGGGGGGGGGFFFFFFGGGKKKNNNPPPXXXccciiikkkpppxxx}}}mmm[[[UUULLLCCC>>>;;;888777777777666444222222444555222333333333333333333333////////////////////////...---,,,,,,,,,,,,---...+++++++++,,,,,,---------******))))))))))))))))))++++++)))(((''''''''''''((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&((((((((((((''''''''''''''''''''''''''''''''''''%%%&&&'''(((((('''&&&%%%'''''''''&&&&&&%%%%%%%%%&&&&&&&&&'''''''''((((((''''''&&&&&&&&&&&&''''''***))))))(((''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''')))(((&&&%%%%%%&&&((()))''''''''''''''''''&&&&&&(((((('''''''''&&&&&&&&&''''''''''''((((((((((((&&&&&&&&&''''''''''''(((''''''''''''((()))++++++))))))***++++++***((('''))))))))))))))))))))))))))))))***++++++++++++***,,,,,,,,,---------......---...///...---...///111666999CCCVVVkkk}}}qqqdddUUUKKKIIIGGGLLLZZZlll~~~xxxgggUUUJJJEEEGGGRRR___ooozzz}}}mmmeeeUUUCCC:::<<<@@@AAAEEESSSiii|||kkkZZZRRRNNNGGG@@@++++++++++++++++++++++++---------------------------------------...//////000000///////////////000111111111222333444666666<<>>:::999777666666777666555222222333555333333333333333333222222...........................---,,,,,,,,,,,,---...******++++++++++++++++++,,,,,,+++++++++,,,,,,---+++***)))(((''''''''''''((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&((((((((((((''''''''''''''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$%%%&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&''''''(((((('''&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''')))'''&&&%%%%%%&&&''')))******)))'''&&&%%%$$$###(((((('''''''''&&&&&&&&&''''''''''''(((((((((((('''''''''((((((((())))))(((((('''(((((()))***+++&&&'''((()))***))))))((()))))))))))))))))))))))))))******+++++++++++++++,,,,,,,,,,,,---------------...///...------///111222444;;;IIIZZZnnn{{{oooaaaWWWKKKFFFGGGRRRaaarrruuubbbTTTIIIDDDHHHPPPYYYeeepppuuuxxx}}}}}}zzzxxxssseeeSSSGGGCCC@@@===AAAHHHUUUfffyyy~~~mmmbbb\\\RRRIII++++++++++++++++++++++++........................---------------......///000//////......///000000/////////000111222333444444666:::AAAMMM^^^ooozzzyyyrrrhhhaaa]]]XXXQQQKKKIIIIIIHHHEEEDDDDDDFFFIIIHHHJJJLLLOOOSSSUUUWWWYYY[[[]]]```bbbeeeiiinnnrrryyy{{{~~~}}}||||||wwwtttqqqqqqqqqpppkkkhhh```^^^YYYTTTPPPLLLJJJIIIGGGGGGFFFEEEDDDDDDEEEEEEDDDCCCBBBBBBDDDFFFIIIKKKOOOTTT[[[cccjjjpppvvvzzzwwweeeSSSHHHBBB???;;;999888888777666666666666555333222333444444333333333222111111111........................------,,,,,,,,,,,,------++++++******************++++++***++++++,,,---...+++***)))((((((''''''(((((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&(((((((((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&%%%%%%$$$$$$######&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%%%%&&&'''(((******)))'''&&&%%%$$$###'''''''''''''''&&&&&&&&&&&&''''''''''''((((((((((((((((((((()))))))))***))))))(((((((((((())))))$$$%%%&&&((())))))***)))))))))))))))))))))))))))******+++,,,,,,,,,,,,+++++++++,,,,,,,,,------------...///...------///111000000444;;;EEEWWWqqq|||pppgggTTTLLLFFFJJJTTTcccsssuuueeeUUUHHHBBBCCCEEEPPPZZZ___dddkkkrrruuu~~~}}}uuuggg[[[PPPEEE===>>>@@@DDDNNN___tttzzzpppcccWWW************************........................------,,,,,,------.../////////.........///000000////////////000111222333666666555777???LLL[[[eeexxx~~~xxxmmmdddZZZXXXTTTOOOKKKHHHFFFFFFJJJIIIHHHGGGHHHIIIKKKLLLJJJKKKMMMOOOPPPRRRVVVXXXZZZ\\\___```bbbdddhhhkkkmmmmmmlllkkkjjjiiihhhhhhgggiiijjjjjjiiihhhjjjkkkjjjjjjjjjjjjjjjjjjjjjiiikkkiiieeeaaa^^^]]]\\\\\\VVVTTTRRRSSSTTTTTTRRRPPPNNNMMMKKKHHHEEECCCCCCDDDDDDDDDEEEEEEFFFGGGIIIJJJKKKLLLLLLNNNRRRVVV[[[]]]ccciiiqqqyyyooo___QQQGGG@@@;;;:::888888999999888666555666666555333222222444444333333222111000000///........................,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++******))))))''''''''''''((()))***+++******)))(((((((((((((((((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((('''%%%%%%%%%%%%'''((($$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%$$$$$$######''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&&&&&&&&&&'''(((&&&&&&&&&'''''''''''''''''''''''''''''''''''''''&&&&&&&&&'''''''''((((((''''''((((((((()))))))))***))))))(((((((((((()))&&&&&&'''((()))))))))***))))))))))))))))))))))))******+++,,,,,,,,,,,,,,,++++++++++++,,,,,,,,,,,,---.........------///000000000222555999EEE]]]rrr{{{tttdddXXXMMMJJJNNNWWWdddooo|||vvveeeTTTHHHAAA@@@FFFMMMQQQTTT\\\hhhpppxxx}}}zzzpppdddUUUHHHCCCAAAAAAFFFPPPaaavvvxxxkkk************************,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---.....................///000000000000///000000111222333777666555555888???HHHNNN___mmm~~~rrrnnniiibbb\\\WWWSSSQQQRRROOOLLLHHHFFFEEEFFFGGGIIIJJJKKKJJJIIIHHHIIIKKKIIIKKKLLLMMMMMMOOORRRTTTRRRRRRRRRRRRRRRRRRRRRRRRPPPRRRSSSSSSRRRQQQSSSTTTRRRRRRRRRQQQQQQQQQQQQQQQRRRQQQNNNLLLJJJJJJJJJJJJGGGFFFEEEEEEFFFFFFEEEEEEDDDEEEEEEDDDBBBCCCEEEHHHGGGHHHJJJMMMPPPTTTWWWYYYaaabbbcccfffjjjnnnqqqssstttyyy}}}jjjYYYMMMFFFAAA>>>999888777777888888777555444555666555333222222333333333222111000000//////........................,,,,,,,,,,,,,,,,,,,,,,,,------,,,,,,+++++++++***%%%%%%%%%&&&&&&((()))******))))))(((((((((((()))((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%$$$$$$%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&'''''''''&&&&&&&&&'''''''''((((((&&&'''''''''''''''''''''&&&&&&&&&&&&''''''''''''&&&&&&'''''''''(((((((((***))))))(((((((((((()))***)))))))))))))))))))))))))))))))))))))))))))))******+++,,,,,,,,,,,,+++*********+++++++++,,,,,,,,,---...---,,,---...000...///222444444:::KKK\\\sss}}}rrreeeWWWPPPNNNPPPWWW^^^gggqqq{{{~~~~~~ssscccRRRHHHAAABBBDDDEEEHHHPPP]]]hhhttt~~~oooaaaPPPIIICCCCCCFFFNNN```ppp************************++++++++++++++++++++++++,,,,,,,,,,,,,,,------...------------...///000000111000000000000111222333111222333333444777;;;???HHHSSScccqqq~~~~~~yyytttooolllgggccc^^^XXXTTTRRRQQQQQQPPPPPPOOOMMMIIIFFFFFFFFFFFFGGGGGGFFFDDDDDDEEEGGGFFFFFFFFFFFFFFFFFFGGGGGGHHHIIIIIIHHHEEEDDDDDDEEEFFFFFFEEEEEEEEEEEEEEEEEEEEEDDDDDDDDDCCCBBBBBBAAABBBBBBAAAAAAAAAAAABBBBBBDDDFFFIIIIIIIIIKKKPPPTTTVVVXXX[[[aaaggglllqqqtttzzz{{{}}}}}}}}}zzz|||{{{xxxqqqfffVVVJJJCCC???<<<;;;888777555555666555444222333555666555333222111222222111111111000/////////------------------------++++++,,,,,,,,,,,,++++++---------,,,,,,,,,,,,,,,((('''''''''((()))***+++))))))(((((((((((())))))((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&'''''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''''''''''''''''')))(((((('''&&&&&&%%%%%%&&&&&&&&&'''''''''''''''%%%&&&&&&&&&&&&'''''''''&&&&&&&&&&&&''''''''''''))))))(((((((((((())))))++++++***)))))))))))))))))))))))))))))))))))))))))))))***++++++++++++***))))))*********+++++++++,,,---...---,,,,,,...000,,,---000222111333>>>JJJ^^^wwwyyynnnaaaZZZSSSNNNNNNQQQQQQ[[[fffkkkkkknnnvvv~~~rrrbbbUUUHHHCCC>>>>>>AAAHHHTTT___qqqgggXXXJJJCCC@@@CCCQQQ```vvv************************++++++++++++++++++++++++,,,,,,++++++,,,,,,---...------------...///000000000000000000000111111222---///222333333444555777;;;BBBMMMZZZhhhxxxxxxrrrnnnlllkkkeeeeeedddaaa\\\XXXWWWVVVUUUUUUTTTQQQMMMKKKJJJKKKKKKJJJJJJIIIIIIHHHGGGGGGIIIJJJJJJIIIFFFEEEEEEFFFHHHHHHHHHHHHHHHHHHHHHHHHIIIJJJKKKLLLKKKJJJHHHGGGFFFGGGHHHIIIKKKNNNQQQSSSWWW[[[```aaabbbffflllrrrvvvxxx{{{{{{yyyuuuuuuxxx}}}}}}zzzxxxmmmYYYQQQGGG???===;;;:::888999777555444555555444333333444666555333111111111000000000000000000000///------------------------***+++,,,,,,,,,,,,+++***+++++++++++++++,,,,,,,,,******)))))))))******+++))))))(((((((((((())))))((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&'''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$%%%%%%%%%&&&&&&&&&&&&%%%&&&&&&&&&&&&'''''''''&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''''''''''''''&&&((((((((('''&&&&&&%%%%%%&&&&&&&&&'''''''''((((((%%%%%%&&&&&&&&&'''''''''''''''''''''(((((((((((((((((('''(((((()))***+++))))))((('''((()))******))))))))))))))))))))))))(((((()))************)))))))))))))))*********+++,,,---------,,,,,,...000---,,,...111111111777@@@JJJ```}}}zzzssskkkeee^^^TTTMMMLLLFFFMMMTTTWWWXXX]]]gggppp{{{yyylll[[[NNNCCC@@@AAAEEEMMMUUUfffvvvppp^^^TTTLLLFFFJJJTTT]]]mmm))))))))))))))))))))))))++++++++++++++++++++++++,,,,,,++++++,,,,,,---...,,,,,,,,,---...///000111000////////////000000111///111333333333222333444888;;;AAALLLZZZiiiwww}}}xxxtttrrrqqqmmmllljjjeee```\\\[[[\\\YYYXXXWWWUUUTTTRRRQQQPPPPPPQQQRRRRRRQQQQQQRRRTTTSSSSSSSSSSSSTTTTTTTTTUUUYYYZZZ\\\]]]\\\YYYVVVTTTOOOQQQUUUYYY^^^ccciiimmmpppuuuzzz}}}~~~{{{xxxwwwtttssstttvvvzzz~~~~~~~~~mmm\\\HHHBBB<<<::::::;;;999888;;;999666555666777666666222444666555333111111111////////////000000000000------------------------***+++,,,------,,,+++***))))))******+++++++++,,,+++***)))))))))))))))***))))))(((((((((((()))***((((((((((((((((((((((((&&&''''''''''''''''''&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$&&&''''''&&&$$$$$$%%%%%%%%%&&&&&&'''''''''&&&&&&&&&'''''''''((((((&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%&&&&&&'''((())))))&&&&&&&&&'''''''''((((((%%%%%%%%%&&&&&&&&&''''''(((((((((((())))))))))))''''''''''''(((***++++++'''&&&&&&&&&''')))***,,,))))))))))))))))))))))))''''''((()))))))))))))))))))))))))))************,,,---------,,,,,,...///000---...111222222777===<<>>;;;888777777888999888888777666555444333222222222111111111111111222222111111111111000000000///...------------,,,,,,,,,---,,,,,,++++++,,,,,,---)))************+++++++++))))))))))))))))))))))))))))))))))))(((((((((((())))))(((((('''''''''&&&)))((('''&&&%%%$$$######&&&&&&&&&&&&&&&&&&&&&&&&)))((('''&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$&&&&&&'''&&&$$$###"""###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&$$$$$$$$$$$$&&&&&&''''''''''''''''''''''''#########$$$%%%&&&((()))%%%%%%############%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&)))((('''&&&%%%$$$######&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''')))(((&&&%%%%%%&&&((()))*********)))))))))))))))''''''''''''((((((((((((***)))(((''''''((()))***((((((((((((((((((((((((((((((((((((((((((((((((******))))))******+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---...000222333333444===@@@LLLbbbzzz|||vvvrrrlllcccVVVMMMHHHFFFEEEEEECCCDDDNNNYYYfffwwwuuu___PPPFFF@@@CCCKKKPPPVVVhhh}}}qqqfffXXXMMMMMMMMMVVVfffvvv************************************************++++++******++++++,,,---.........---------,,,,,,////////////............//////000000000000//////222444666777;;;DDDQQQ[[[rrr~~~}}}{{{|||~~~{{{uuuqqqrrrnnnrrrxxx|||rrrdddWWWIII???<<<:::888777888999999888777777666555444333222222222111111000000111222222111111111000000000//////......------,,,,,,,,,+++,,,,,,,,,++++++,,,,,,,,,))))))*********+++++++++))))))))))))))))))))))))))))))))))))(((((((((''')))((((((((('''''''''&&&((((((((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%$$$$$$$$$$$$%%%&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%$$$###$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%&&&&&&%%%$$$######$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''')))'''&&&%%%%%%&&&''')))((((((((((((((((((((((((''''''''''''(((((((((((())))))(((((((((((())))))((((((((((((((((((((((((******************************))))))******+++,,,,,,,,,,,,,,,,,,,,,,,,,,,+++,,,---///000111222222777888AAAQQQeee||||||{{{zzzxxxwwwvvvtttmmmbbbZZZNNNJJJFFFDDDAAA@@@FFFMMM\\\mmmtttdddVVVKKKHHHKKKMMMPPPZZZjjjxxx|||nnnaaaTTTPPPQQQXXXbbbmmm|||************************************************+++************+++,,,,,,------,,,,,,,,,,,,,,,+++........................111000...------...000111111222333333444888AAAGGG\\\jjj~~~xxxuuuvvvnnnssszzziiiYYYQQQJJJBBB;;;:::999777888999999888777666666555444333333222222222111111000000000111111000000000000///////////////......---,,,++++++***,,,,,,,,,++++++,,,,,,,,,)))))))))*********++++++)))))))))))))))))))))))))))))))))(((((((((''''''(((((((((''''''''''''''''''''''''((((((((())))))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&'''&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%((('''&&&%%%$$$#########&&&&&&%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''((('''&&&%%%%%%&&&'''(((''''''''''''''''''''''''''''''''''''(((((((((((((((((())))))))))))((((((((((((((((((((((((((((((***************************))))))))))))***++++++,,,,,,,,,,,,,,,,,,,,,,,,***+++,,,...///000000000222111666???LLL```yyy{{{yyyyyyzzz}}}~~~yyyqqqjjjZZZQQQIIIEEEBBB???@@@DDDQQQaaavvvyyygggVVVLLLIIIJJJJJJOOOVVV^^^hhhyyyvvv```XXXOOOLLLNNNUUU```jjj***************************************************************++++++,,,++++++++++++++++++++++++------...............///111000...------...000111///000222222333555:::>>>GGGUUUiii||||||yyyzzztttyyyyyyiiiUUUIIIFFFDDD???:::888777777888999999777666555555444444333222222111222111111000000000000111000000/////////.........///......---,,,+++******+++++++++,,,,,,+++++++++))))))))))))************(((((((((((((((((((((((())))))((((((((('''''''''''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%((('''&&&%%%$$$#########&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''((('''&&&&&&&&&&&&'''((('''''''''''''''(((((((((''''''''''''(((((((((((('''((()))******)))((('''((((((((((((((((((((((((************************)))))))))))))))***++++++++++++++++++++++++++++++***+++,,,...//////000000000///222666===JJJaaauuu~~~{{{kkk]]]OOOIIIFFFBBBBBBCCCLLLYYYlll~~~{{{iii[[[TTTNNNLLLKKKOOOSSSZZZfffqqqqqqgggZZZPPPLLLMMMRRRVVV******************************************************))))))******+++,,,++++++++++++++++++++++++,,,---------......//////......////////////.........000111222333444666888999CCCRRRaaannnyyy}}}|||}}}|||gggZZZKKKBBBAAA@@@;;;555888777666777888888666555444444333333222222111111222111111000//////000000/////////............---......---,,,++++++*********++++++,,,,,,++++++***(((((()))))))))*********((((((((((((((((((((((((((((((((((((''''''''''''&&&&&&&&&''''''''''''''''''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&''''''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''''''''&&&&&&''''''''''''''''''(((((()))))))))''''''''''''(((((((((((('''((()))******)))((('''(((((((((((((((((((((((())))))))))))))))))))))))))))))(((((())))))***++++++++++++++++++++++++++++++,,,---...///000000000...///111444666===MMM\\\sss~~~mmmZZZOOOIIIDDDBBBBBBKKKTTTdddvvvyyyqqqaaaWWWNNNLLLNNNRRRXXX___qqq{{{}}}pppddd[[[VVVQQQNNN***************************************************))))))))))))***++++++***++++++++++++,,,,,,,,,,,,,,,,,,---......//////,,,---///000000///---,,,///000000000000000000000222888AAAJJJRRR]]]hhhpppyyylll^^^VVVMMMGGGDDDAAA;;;666999888666666777777555444333333333222222111111111222111111000///////////////.........------------,,,,,,,,,,,,++++++++++++)))***+++,,,,,,+++***)))((((((((()))))))))******))))))))))))))))))))))))((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&'''''''''))))))((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&%%%$$$$$$%%%%%%&&&&&&''''''$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&&&&'''%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''''''''(((((())))))***''''''''''''(((((((((((((((((())))))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((()))(((((((((((()))******+++++++++++++++++++++++++++,,,---...////////////------000333333555>>>HHH[[[ooo{{{gggZZZPPPHHHBBBAAAJJJOOO[[[mmm}}}~~~mmmZZZPPPLLLLLLOOOTTT```iiirrrzzz|||sssjjj^^^TTT************************************************)))))))))))))))***++++++++++++++++++,,,,,,------++++++,,,------...//////,,,---///000000///---,,,///......//////000///...111444888;;;>>>EEEOOOVVV```lll|||xxxnnnhhh___VVVTTTQQQNNNKKKGGGDDD@@@>>><<<999666555555555444333222222222222111111111111222222000//////..................---------,,,,,,+++++++++++++++,,,,,,,,,)))***+++,,,,,,+++***)))(((((((((((()))))))))***))))))))))))))))))))))))(((((('''''''''&&&&&&&&&%%%%%%%%%&&&&&&''''''''''''''''''(((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$%%%&&&'''$$$%%%%%%&&&&&&%%%%%%$$$"""###$$$&&&&&&&&&%%%$$$$$$$$$%%%%%%&&&''''''((($$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%&&&'''###$$$%%%&&&&&&%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&''''''''''''''''''&&&%%%%%%&&&''''''((())))))''''''''''''(((((((((((())))))(((((((((((())))))(((((((((((((((((((((((())))))))))))))))))))))))((((((((((((((()))*********************************+++,,,------......---...,,,---000111111666<<>><<<>>>>>>>>>>>>>>>>>>>>>>>>999999777666444222111000///000222333444444333333111000......//////...,,,///---++++++,,,,,,,,,+++++++++,,,,,,---...//////***************+++++++++))))))))))))))))))))))))))))))(((((((((((())))))''''''&&&&&&&&&%%%%%%%%%''''''(((((())))))******((((((''''''''''''(((((('''''''''&&&&&&%%%%%%%%%###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$######$$$%%%&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$(((%%%$$$%%%'''(((&&&$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%'''''''''%%%###"""%%%%%%%%%%%%%%%%%%%%%%%%'''''''''''''''''''''''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''(((((((((((((((''''''&&&&&&''''''''''''&&&&&&&&&&&&((((((((('''&&&%%%(((((((((((((((((((((((('''''''''''''''((())))))))))))))))))))))))))))))(((((((((((())))))))))))(((((()))***+++,,,,,,,,,++++++,,,,,,,,,,,,------...------......///000111333888BBBRRRggg~~~xxxmmmbbbZZZNNNLLLKKKNNNWWWeeettt~~~ppp^^^QQQNNNIIIKKKRRRVVVZZZlll************************))))))))))))))))))))))))************************,,,,,,++++++++++++,,,,,,...///000000000...,,,+++,,,,,,------------,,,,,,---------.........//////000000111222333444555555;;;<<>>EEEVVV___mmm{{{llleee[[[QQQKKKFFF@@@======;;;888555444333222111333333333333333333333333444444444444444444444444000000000000000111111111...------...000111000//////---++++++,,,,,,,,,+++*********+++++++++++++++,,,++++++***)))(((((('''((((((((((((((((((((((((((((((''''''''''''(((((('''''''''&&&&&&&&&%%%%%%''''''&&&&&&%%%%%%$$$$$$''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$$$$$$$$$$###&&&%%%%%%$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&###$$$$$$%%%&&&&&&%%%%%%''''''(((((((((((('''''''''&&&%%%%%%%%%'''((()))(((((((((((((((((((((((('''''''''''''''((())))))(((((((((((((((((((((((((((((((((((())))))))))))+++++++++************************+++++++++,,,,,,+++++++++,,,,,,---...///---000333222333;;;HHHTTTiiizzzzzziiiVVVJJJHHHJJJEEEJJJNNNOOOPPPVVV___gggrrr~~~wwwdddWWWLLLGGGEEEEEEMMMWWW___hhhvvv'''(((((())))))*********))))))))))))))))))))))))++++++++++++++++++++++++************+++,,,------...---,,,+++***+++,,,---,,,,,,++++++++++++,,,,,,,,,,,,---------................../////////000000...111333333222333777:::AAAGGGSSSbbbooo}}}sssgggVVVQQQJJJDDDAAA>>><<<:::666666555444333333333333333333333333333333333333222222333333444444444555555444222111//////......///...---...///000///...///---++++++,,,,,,,,,+++*********************************)))((((((''''''(((((((((((((((((((((((((((''''''&&&&&&''''''((('''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%''''''&&&&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&&&&'''%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$######$$$&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&######$$$%%%&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&'''((()))(((((((((((((((((((((((('''''''''''''''((())))))(((((((((((((((((((((((((((((((((((())))))))))))******************++++++************++++++++++++++++++++++++,,,---......***---111111111444;;;BBBUUUfffwwwdddTTTJJJGGGAAACCCDDDDDDEEEIIIPPPVVV```ooovvveeeWWWLLLEEEAAAEEEKKKQQQXXXdddsss~~~''''''(((((()))******+++))))))))))))))))))))))))************************))))))))))))***+++,,,---+++++++++++++++,,,,,,---++++++,,,,,,,,,,,,++++++,,,,,,,,,------------...---............/////////......///000111222444555666888@@@JJJSSS^^^qqq~~~~~~{{{ppphhh]]]SSSHHHEEEAAA>>>===;;;::::::555555555444333333333444222222222222222222222222111111222333444444555555666555333111000/////////000///......///000...---///---++++++,,,,,,,,,+++*********************)))******))))))))))))))))))(((((((((((((((((((((((((((''''''&&&&&&''''''(((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&''''''&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%$$$######$$$&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$&&&'''&&&$$$###%%%'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%###$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%&&&''''''''''''%%%%%%&&&&&&&&&&&&%%%%%%$$$%%%&&&'''(((((((((((((((((((((((((((((((((((('''''''''''''''((())))))(((((((((((((((((((((((((((((((((((()))))))))))))))))))))***+++++++++,,,************++++++++++++************+++,,,---...***,,,...//////111555777GGGSSShhhwwwiiiZZZPPPFFFEEECCCAAAAAACCCFFFIIIPPP```tttzzzkkk^^^VVVMMMMMMMMMNNNQQQXXXaaaggg&&&''''''((()))******+++))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((()))***+++,,,)))******+++,,,,,,------***+++,,,------,,,+++***++++++,,,,,,,,,---------------..................///---,,,---000222333333555444777<<>>===<<<<<<<<<;;;;;;999999888666444333333444222222222222222222222222000111111333444555555666444333222111111111333333111000......//////...,,,///---++++++,,,,,,,,,+++*********)))))))))))))))***************+++++++++(((((((((((((((((((((((('''''''''&&&&&&''''''''')))(((((((((''''''''''''&&&&&&&&&''''''((((((((('''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&&&&'''''''''###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&)))'''%%%#########$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$"""%%%&&&%%%###"""$$$&&&%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$#########"""###%%%'''''''''%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%&&&''''''''''''$$$%%%%%%&&&&&&%%%%%%$$$###$$$&&&((())))))((('''(((((((((((((((((((((((('''''''''''''''((())))))(((((((((((((((((((((((((((((((((((())))))))))))(((((()))***+++,,,,,,---)))************+++++++++************+++,,,---...,,,,,,---...000222444555;;;CCCSSSjjj}}}kkk]]]MMMIIIDDDAAAAAAAAABBBAAACCCTTThhhtttsssjjjbbb___ZZZWWWVVVXXX[[[]]]+++************+++,,,---,,,+++++++++,,,,,,***(((---+++)))((('''((()))***)))************+++++++++++++++++++++++++++++++++******++++++++++++******,,,+++*********+++,,,---,,,,,,,,,---...///000000...//////000111222222333222666999999888;;;AAAGGG]]]iii|||~~~{{{|||}}}nnneeeYYYOOOIIIEEEBBB@@@===<<<<<<;;;;;;:::999999999999999999888666444333111111111000111111222333111111000000111333444666444333111//////000111222111111///...---------------,,,++++++,,,,,,***)))******))))))((((((''''''++++++************++++++***)))(((''''''((()))******)))(((''''''&&&''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$#########$$$$$$%%%%%%&&&'''(((((($$$%%%%%%%%%%%%%%%%%%$$$&&&&&&&&&%%%%%%$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%###""""""$$$%%%'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&''''''''''''&&&&&&((((((((((((((((((((((((&&&&&&&&&&&&'''''''''((())))))))))))************(((((((((((())))))))))))************))))))((((((++++++,,,,,,,,,,,,------,,,,,,------.../////////777777>>>NNNbbbwww}}}|||{{{~~~uuu^^^WWWLLLDDD@@@???@@@AAAEEELLLXXXgggvvvxxxyyyxxxrrriii```[[[YYY)))***,,,---//////000000---,,,+++,,,------+++))),,,+++)))((('''((()))***))))))*********+++++++++******************************++++++++++++******++++++*********+++,,,---,,,,,,------......//////......//////000111111222,,,///111111000222888===IIISSScccuuu}}}{{{{{{|||yyylll^^^XXXNNNGGGCCCAAA>>>===;;;;;;::::::999999888888888999999999888777666555222111111111111111222222111111000000111333444555333222000......///000111111000///......------------,,,***++++++,,,***)))((((((((()))))))))))))))+++******))))))******+++***)))(((''''''((()))***((('''''''''''''''((()))''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%$$$$$$$$$############$$$$$$%%%&&&&&&''''''&&&%%%$$$$$$%%%&&&'''&&&&&&&&&%%%%%%$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&''''''''''''((('''%%%$$$###$$$%%%&&&########################%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&((('''&&&%%%%%%%%%%%%&&&%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&''''''''''''&&&&&&((((((((((((((((((((((((&&&&&&'''''''''(((((((((((((((((()))))))))******(((((((((((())))))))))))++++++*********)))))))))*********+++++++++,,,,,,,,,,,,------.../////////444333777BBBQQQbbbxxx|||zzzzzzzzz|||ooofffYYYMMMFFFCCCBBBBBBDDDIIIRRR]]]jjjzzzzzzooogggddd'''***...222444444333222...---,,,---......,,,+++++++++)))((((((((()))***)))))))))*********++++++))))))))))))))))))))))))******++++++++++++******+++************+++,,,,,,---------------.........------......///000000000---///111000///111555999888>>>HHHUUUeeewww}}}{{{{{{|||yyykkk\\\RRRMMMIIIDDD@@@???===<<<;;;::::::999999888777777666777888888999999888888777333222222111111111222222111111111111111222333444111000///...---...///000000000///......---------,,,+++******+++,,,***)))''''''((())))))***+++++++++******))))))******+++)))((((((''''''(((((()))&&&&&&&&&&&&'''((()))***''''''&&&&&&&&&%%%%%%%%%''''''''''''''''''''''''%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$"""######$$$$$$%%%%%%%%%'''%%%$$$""""""$$$%%%'''&&&&&&%%%%%%%%%%%%$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&'''''''''((((((((())))))***)))'''%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&''''''&&&%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&''''''''''''&&&&&&((((((((((((((((((((((((''''''((((((((()))))))))''''''((((((((()))))))))(((((((((((())))))))))))+++++++++***************)))))))))************+++,,,,,,,,,---......//////111000222777>>>JJJ]]]mmm~~~|||}}}yyy{{{zzzkkk]]]RRRJJJFFFCCCDDDFFFJJJRRR^^^oooxxxttt&&&)))///444666555222000...---------//////---,,,+++***)))(((((()))******))))))))))))******************************************++++++++++++*********************++++++,,,...------------------------------.........//////000111222222111111444666555777;;;AAAKKKYYYhhhqqq}}}{{{|||}}}wwwiii^^^TTTKKKFFFCCCBBB@@@???>>>===<<<;;;:::999999888888777777666666666777888888999999999444333222222111111111111111111111111111222222333111000///.........//////////////////...------,,,,,,***)))***++++++***)))(((((()))))))))***************))))))))))))******((((((((((((((((((((((((&&&&&&&&&&&&&&&'''((()))''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$%%%%%%%%%&&&$$$###""""""""""""###$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&''''''''''''((((((((((((((('''&&&%%%$$$$$$%%%%%%''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&'''&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&''''''''''''&&&&&&(((((((((((((((((((((((((((((((((((())))))))))))''''''''''''(((((((((((((((((((((((())))))))))))++++++++++++************)))))))))*********+++++++++,,,,,,------...////////////222444444:::HHHWWWlll{{{qqqdddXXXOOOIIIGGGGGGGGGLLLVVVfffxxx&&&***...222333111...,,,---,,,,,,---......---+++))))))))))))))))))******(((((()))))))))*********++++++++++++++++++++++++******++++++++++++******))))))******++++++++++++---------------,,,,,,,,,------------..................///.........///000666666666888<<>>===;;;999888999::::::999999888777777777444444444555666777999999666666444333111111000000000000111111222111111000111111111000000000//////,,,---...//////...---,,,***)))((()))+++++++++))),,,++++++***))))))((((((***))))))(((((())))))***&&&''''''((((((''''''&&&)))((('''&&&%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%%%%%%%&&&!!!"""###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%&&&''''''%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&''''''''''''&&&&&&((((((((((((((((((((((((''''''((((((((()))))))))''''''((((((((()))))))))(((((((((((()))))))))))))))))))))))))))******************+++++++++,,,,,,+++++++++,,,------......***,,,000333222///333:::EEEQQQfff|||~~~pppggg\\\ZZZVVVRRRPPPRRRVVVZZZhhhrrryyyxxxsssoookkkhhhgggmmmtttzzz|||'''(((((())))))))))))(((((('''''')))***+++***((((((((()))***************(((((((((((()))))))))*********************************++++++++++++******'''((()))***+++******)))+++++++++,,,,,,------.........................../////////000000000//////---///000111222555888;;;:::???FFFLLLRRR[[[gggppp|||~~~|||wwwmmmfff```YYYTTTMMMIIIEEEAAA>>><<<;;;;;;:::<<<===<<<999777888999999888888777777666666555333333333333444555777888777666555333111000000000000000111222222111000/////////000000//////......+++,,,...//////...,,,+++***(((((()))***++++++***************************))))))(((((((((((())))))&&&&&&'''(((((('''&&&&&&''''''&&&%%%%%%&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%'''&&&###""""""###&&&'''$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$%%%%%%%%%%%%######$$$%%%&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%&&&'''(((%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&''''''''''''&&&&&&((((((((((((((((((((((((&&&&&&'''''''''(((((((((((((((((()))))))))******(((((((((((())))))))))))''''''((((((((())))))))))))))))))************+++***++++++,,,,,,---......,,,+++---000000...000444999AAAPPPcccvvvzzzsssjjjjjjiiiddd^^^YYYVVVUUUVVV]]]bbbaaa___^^^ZZZVVVUUUYYY```eeeiiiooowww}}}'''&&&&&&&&&'''((()))***'''&&&&&&''')))***(((''''''((()))***************(((((((((((())))))))))))))))))))))))))))))))))))******++++++++++++******'''((()))++++++******)))******+++,,,,,,---......//////////////////.........------...//////...---...///111111222555999<<<222666;;;===???EEEOOOVVV[[[cccppp|||tttjjj]]]UUUQQQOOOLLLIIIBBBAAA???>>><<<;;;:::999:::<<<===<<<999888999<<<777777777666555555444444333333222222333444666777888777555333222000000000///000111222222111000///......//////......---,,,+++,,,...//////...,,,+++)))(((((((((***++++++***)))))))))***++++++,,,,,,))))))(((((((((((())))))%%%&&&'''(((((('''&&&%%%%%%%%%%%%%%%&&&'''((((((''''''&&&&&&&&&%%%%%%%%%'''''''''''''''''''''''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&'''''''''$$$$$$$$$$$$$$$$$$$$$$$$'''$$$$$$'''$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&''''''&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%&&&'''(((%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''&&&''''''''''''''''''&&&((((((((((((((((((((((((&&&&&&&&&&&&'''''''''((())))))))))))************(((((((((((())))))))))))&&&'''''''''(((((())))))(((((((((((())))))))))))***++++++,,,,,,---......111---,,,...///...///333444999CCCSSSfff{{{}}}wwwuuuwwwxxxuuuoooggg```]]]NNNSSSUUUTTTSSSRRRNNNHHHEEEIIIOOOTTTZZZcccmmmuuu'''&&&&&&%%%%%%%%%&&&&&&+++*********))))))(((((())))))))))))))))))))))))************************))))))))))))))))))))))))))))))))))))))))))))))))******)))))))))))))))***))))))*********+++++++++......---------,,,,,,,,,,,,,,,------...//////000222111000000000111333444222333555777999;;;<<<===GGGKKKRRR[[[ffftttwwwmmm[[[VVVNNNHHHDDDBBB@@@???>>>===<<<;;;;;;;;;;;;;;;::::::999999888777666666888777555444333222222111222222111111111222444555666555555444222111000000000000111111000///...---///////////////......---+++,,,,,,------,,,,,,+++''''''((()))***+++,,,,,,))))))))))))))))))))))))''''''''''''''''''''''''))))))((('''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''((((((((('''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&!!!$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$######$$$%%%%%%&&&'''''''''&&&%%%$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&$$$$$$'''&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%&&&%%%$$$$$$)))(((&&&%%%%%%&&&((()))&&&&&&&&&%%%%%%$$$$$$$$$&&&%%%%%%%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%''''''''''''(((((((((((('''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((''''''''''''(((((((((((())))))))))))))))))))))))))))))))))))))))))))))))((()))***++++++***)))(((******+++,,,---------------------............///222666;;;AAAKKK^^^www~~~~~~yyynnnfffZZZSSSJJJEEEEEEGGGGGGGGGAAAAAADDDIIIMMMSSS```mmm(((''''''&&&&&&'''''''''******)))))))))((((((((())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))******))))))))))))*********+++++++++,,,,,,,,,,,,...------------,,,,,,,,,,,,,,,,,,---.../////////000000///......///000111//////000222444555777777888;;;@@@FFFOOOYYYdddkkkxxx}}}qqqcccZZZPPPLLLFFFBBB???===<<<:::999888888888888888999:::::::::999999888777777666666555444333222111111111222222111000111222333444555555444333222111000000000000000/////////......///////////////...------+++,,,,,,------,,,,,,+++((((((((()))******++++++))))))))))))))))))))))))'''''''''''''''''''''''')))(((((('''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''''''''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&& !!!###%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&(((''''''&&&&&&&&&''''''$$$%%%%%%&&&&&&%%%%%%$$$'''&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%######%%%&&&&&&&&&%%%$$$'''&&&%%%$$$$$$%%%&&&'''&&&%%%%%%%%%%%%%%%%%%$$$%%%$$$$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''''''''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((''''''''''''(((((((((((()))))))))))))))))))))))))))))))))))))))))))))))))))))))))******))))))))))))***+++,,,------------------------............+++///333666===MMMaaappp~~~{{{hhh^^^RRRHHHDDDBBBAAA@@@>>>===???BBBDDDIIITTT```(((((('''''''''(((((()))))))))((((((((((((((('''))))))))))))))))))))))))(((((((((((((((((((((((())))))))))))))))))))))))((((((((((((((((((((((((***)))))))))))))))******++++++,,,,,,,,,---------------------,,,,,,,,,,,,+++,,,,,,------......///......------,,,------...------...///000111222222222444666999<<>><<<;;;:::999777666666666666777888999999::::::999999888777777777444333222222111111111111222111000000000111222333555444444333222111000000111000///...---...//////......//////......---,,,++++++,,,,,,,,,,,,++++++))))))))))))))))))))))))((((((((((((((((((((((((((((((((((((((((((((((((((((((((('''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%&&&'''((('''&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&&&&''''''(((&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&$$$############$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&&&&%%%%%%%%%$$$%%%%%%%%%&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((''''''''''''(((((((((((())))))))))))))))))))))))))))))))))))))))))))))))***))))))(((((())))))***)))***+++,,,------------------------............,,,...111222555>>>LLLWWWnnn}}}|||}}}zzzooo___QQQIIIDDDAAA??????===<<<===>>>AAAJJJTTT''''''''''''''''''((()))((((((((((((''''''''''''(((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))(((((((((((((((((((((((())))))))))))))))))***++++++++++++,,,,,,,,,,,,------------,,,,,,,,,++++++++++++,,,,,,------------...------,,,,,,,,,,,,,,,////////////000000000000444555666666666999<<>>>>>???GGGOOO&&&%%%%%%%%%&&&&&&'''(((''''''''''''(((((((((((((((((((((((((((((((((((())))))))))))))))))))))))(((((((((((((((((((((((((((((((((((((((((((((((())))))(((((()))***++++++************++++++++++++------,,,,,,,,,++++++++++++++++++,,,,,,,,,,,,,,,---------------------,,,////////////////////////222333444333222222444666777:::>>>DDDNNN\\\mmmyyy~~~|||}}}|||nnnaaaYYYMMMMMMMMMNNNNNNLLLHHHEEE???===;;;;;;;;;;;;:::999;;;;;;999888777777777777888777777777777777666666555444444333333333444444222111000/////////000111222222222111111000000//////...,,,++++++---...000---------------,,,,,,+++***++++++,,,,,,++++++*********))))))((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&))))))))))))))))))))))))'''''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%$$$###############$$$%%%&&&&&&&&&$$$$$$$$$$$$&&&&&&%%%%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&''''''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((''''''''''''((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((***)))(((''''''((()))***))))))***+++,,,,,,,,,,,,,,,,,,,,,------------...,,,...//////...000555999DDDLLL\\\ssszzzzzztttjjj```VVVOOOJJJDDD@@@?????????EEELLL%%%%%%%%%%%%%%%&&&'''((('''(((((((((((()))))))))))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((()))***+++,,,))))))*********+++++++++,,,,,,,,,,,,++++++++++++++++++++++++++++++++++++,,,,,,---.................................------000111333222111111222333333555666777===GGGUUU___fffkkkttt~~~~~~|||~~~vvvkkkaaaWWWNNNHHHDDDDDDFFFHHHKKKKKKIIIGGGEEEBBB>>><<<;;;:::999888:::999888666555444333333666666666555555555555555666555444444333333333444111111///.........///000111111111000000000//////------,,,+++,,,---...///,,,,,,------,,,,,,+++*********++++++++++++******)))))))))(((((('''''''''''''''''''''''''''''''''((((((((((((((((((((((((''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%&&&&&&'''&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%&&&&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&'''''''''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((''''''''''''(((((((((((())))))))))))))))))))))))(((((((((((((((((((((((()))((((((''''''(((((()))((()))***+++,,,,,,,,,,,,,,,,,,,,,,,,------------,,,---.........000222555;;;???III[[[rrr}}}{{{zzz{{{qqqeee]]]WWWOOOHHHDDDAAA>>>AAAFFF%%%%%%%%%&&&&&&'''((()))((((((((()))))))))******))))))))))))))))))))))))(((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))(((((((((((()))***+++,,,*********+++++++++,,,,,,,,,,,,,,,++++++++++++***+++++++++++++++*********)))***,,,...//////......---------------.........///000222333111111111222000222333444555:::BBBIIINNNUUU]]]dddlllyyy}}}}}}vvvddd```YYYSSSMMMHHHCCC???@@@@@@@@@CCCGGGKKKMMMMMMNNNJJJDDD???<<<;;;999888777777555444333333333333444444444444444444444444666555444333222222222222111000///...---...//////000000000000000/////////++++++,,,,,,,,,---------,,,,,,,,,,,,,,,+++************++++++++++++******((((((((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%$$$$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$###$$$%%%&&&'''&&&%%%$$$######$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%$$$%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''$$$%%%%%%%%%&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((''''''''''''(((((((((((())))))))))))))))))))))))(((((((((((((((((((((((('''(((((((((((((((((('''((()))***++++++,,,,,,+++++++++,,,,,,,,,------------.../////////000222444222777>>>GGGTTTggg{{{{{{|||vvvnnndddYYYQQQIIICCCAAACCC&&&&&&&&&'''''')))******(((((())))))******++++++))))))))))))))))))))))))''''''''''''''''''''''''((((((((((((((((((((((((************************(((((((((((()))***+++,,,++++++,,,,,,,,,---------,,,,,,,,,+++++++++******++++++******************''')))+++---...///............////////////000000+++...000000///.........---000333444333444888<<<===BBBGGGIIINNN\\\qqq}}}zzzxxx{{{wwwjjj^^^VVVKKKIIIFFFDDDCCC@@@===:::888777666999???FFFLLLOOOVVVQQQIIICCC???===;;;:::666666555444444444555555333333333333333333333333666555444222111000000000111000///...------...///000000000000////////////***+++,,,------------,,,+++,,,,,,,,,,,,+++************++++++++++++******((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''&&&'''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''((((((((('''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%&&&'''((($$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$######$$$%%%%%%&&&''''''%%%%%%$$$###""""""""""""$$$$$$&&&''''''&&&$$$$$$$$$$$$$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$#########$$$%%%&&&%%%$$$"""!!!!!!"""$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''######$$$$$$$$$%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''((((((''''''''''''((((((((()))))))))))))))))))))))))))((((((((((((((((((((((((&&&'''((())))))((('''&&&((()))***++++++,,,++++++++++++,,,,,,,,,---------+++++++++,,,,,,---///000+++222999;;;>>>LLLbbbtttxxxjjj^^^SSSIIIEEEEEE$$$%%%''')))***))))))(((''''''((((((((((((''''''''''''''''''((((((((((((++++++******))))))(((((())))))((((((''''''''''''(((((())))))))))))(((((((((((((((((('''''''''''')))************+++++++++++++++++++++++++++++++++************************((()))***+++---...///000---------............///111111000000//////.........//////000111222222222666777999;;;@@@HHHQQQXXXiiimmmqqqqqqpppqqquuuzzz{{{}}}xxxsssssswww}}}xxxrrrhhh___XXXQQQJJJEEEAAAAAA@@@???===<<<:::999888888888999===AAAFFFHHHRRRPPPMMMHHHCCC===999666444444444444333222111000222222333444444333333333777666555444222111000000,,,---......,,,---...000000000000000////////////---,,,,,,,,,,,,---......+++++++++*********))))))+++++++++************)))(((((((((((((((((((((((()))((('''&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&'''''''''''''''''''''''''''''''''%%%%%%&&&&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$######""""""%%%$$$###""""""$$$&&&'''$$$$$$$$$$$$$$$$$$$$$$$$########################'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######"""""""""!!!!!!"""###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&'''&&&%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%&&&&&&'''''''''%%%&&&''''''(((''''''''''''''''''((()))(((%%%"""%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((())))))******)))(((((((((((())))))))))))))))))***++++++++++++***++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,///111333333555===IIIRRRlll{{{yyyjjj```XXXPPPJJJ%%%&&&'''(((((()))((((((''''''((((((((((((''''''''''''''''''((((((((((((((((((''''''''''''''''''((((((((((((((((((''''''(((((())))))))))))((((((((((((((()))))))))(((((()))************+++++++++++++++++++++++++++++++++***************************++++++,,,,,,---------------------............000000000///////////////......///000000111222222666666666666888<<>>@@@@@@BBBFFFJJJNNNSSSZZZ^^^```ccchhhllltttyyy~~~zzzvvvuuuxxx}}}}}}zzzxxxzzzzzz{{{~~~|||wwwhhhddd___XXXRRRLLLIIIGGGHHHEEEBBB???>>><<<:::888555666777888888999999999888777666555666777:::;;;EEEEEECCCAAA>>>;;;888666555555555555555444333222222222333333333333222222000000000//////............/////////......000222222222111111111000000000//////...---,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++*********)))))))))(((((((((((((((((((((((((((((('''&&&&&&&&&&&&'''((((((''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&######$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$############%%%$$$#########$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&&&&''''''(((((()))%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%'''(((((())))))))))))))))))***+++...///---)))&&&))))))))))))))))))))))))))))))))))))((('''&&&&&&(((((((((((())))))))))))((()))******++++++******++++++++++++++++++++++++........................,,,...///...---///555:::???MMMaaaqqq|||}}}vvvooojjj)))((('''&&&%%%&&&'''(((''''''((((((((((((''''''''''''''''''((((((((((((''''''(((((()))))))))***'''((()))*********))))))(((((())))))))))))(((((($$$%%%''')))******)))((())))))*********+++++++++++++++++++++++++++++++++************************++++++++++++++++++++++++,,,,,,---------.........---------....../////////.........//////000000000///111222222111111222333111333555666777888;;;>>><<<@@@DDDHHHKKKOOOUUUYYYbbbhhhooovvv}}}~~~xxxsssnnnnnnssszzz~~~}}}}}}}}}~~~tttiii```ZZZQQQOOOLLLHHHDDDBBB@@@@@@CCCAAA???===;;;:::888777333333555666777777777777666666555444444555777888=========<<<:::999777666555666666666555444444333222333333333333222111111.....................///...///000///...///000222222222222222111111111000000000...---,,,+++++++++---------,,,,,,,,,++++++************))))))))))))(((((((((((((((((((((((((((''''''&&&&&&&&&''''''))))))(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$###$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%&&&&&&&&&&&&&&&&&&%%%'''''''''&&&&&&%%%%%%%%%''''''((())))))))))))((()))***,,,...000...***&&&&&&&&&''''''''''''(((((((((((())))))(((''''''&&&(((((((((((())))))))))))((())))))***************************************---------------------------...///...---...000333111<<>><<<;;;;;;;;;;;;;;;;;;;;;999777666555444444555555666666666555555444444444444555666777888888888888888888777666555555555555666555555444444222333333333222222111000.........///////////////...///000///...///000222222222222222111111111000111000...---,,,+++******---------,,,,,,,,,++++++*********)))))))))((((((((((((((((((((((((((((((''''''&&&&&&&&&''''''((())))))(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$###$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%############$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$###$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%&&&''''''&&&%%%%%%'''''''''&&&&&&%%%%%%%%%%%%&&&''''''(((((('''''''''(((***,,,...,,,)))&&&%%%%%%&&&&&&&&&'''''''''&&&&&&'''((((((((((((((((((((((((((())))))))))))(((((()))************)))************************++++++++++++++++++++++++,,,---............///000...333;;;CCCMMM\\\mmmyyy'''&&&&&&&&&&&&&&&''''''''''''((((((((((((''''''''''''''''''((((((((((((''''''''''''(((((((((((()))***,,,---,,,+++)))'''(((((())))))))))))((((((&&&&&&''''''(((((()))))))))************+++++++++++++++++++++++++++++++++************************)))))))))***+++,,,,,,---,,,,,,,,,,,,------------,,,,,,,,,---------------------..................---///111111000...---...222111111000000000000111333333333444555666888888:::???EEELLLRRR[[[eeellltttttttttrrrpppnnnooopppmmmqqqssssssvvv{{{|||zzzxxxuuuppppppttt{{{}}}tttmmmfffaaa]]]YYYXXXUUUQQQLLLFFFBBB???===<<<:::888777777777777444666888888666555666777666666666666666666555444444444444555666777888999666666666666666666555444444444555555555444444333333333333333222111000////////////////////////000.../////////......000222222222111111111000000000111000...---,,,+++++++++,,,,,,,,,,,,++++++++++++******)))))))))((((((((((((((((((((((((((((((((('''&&&&&&&&&&&&'''((((((((((((''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$########################%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''(((((($$$%%%&&&''''''&&&%%%$$$&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''''''''&&&&&&''')))******(((&&&'''''''''(((((())))))***%%%%%%&&&'''(((((((((((((((((((((((())))))))))))'''((())))))******))))))***************************************************++++++,,,------.........000222555;;;GGGUUU```yyy$$$%%%%%%&&&''''''''''''''''''((((((((((((''''''''''''''''''(((((((((((()))))))))))))))(((((((((+++,,,---...---***(((&&&(((((())))))))))))((((((+++***)))(((((()))***+++)))************+++++++++++++++++++++++++++++++++***************************************+++++++++++++++,,,,,,,,,------------------,,,,,,,,,,,,,,,------------------------,,,...000000///------...222111000000111111222111000000000111222333333222111444999<<>><<<:::999555444333333333444555666555888::::::666444444666333333444555666666666666555555555555555555555555666666666666555444333222222222333444444333333333333333333222222000////////////.........---------,,,---......------...000000000000000//////////////////...---,,,,,,,,,,,,+++++++++*********))))))))))))))))))((((((((((((((((((((((((((((((((((((&&&&&&&&&&&&&&&'''((()))$$$%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$%%%%%%&&&&&&&&&######$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%"""""""""######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&'''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$%%%'''(((((('''%%%$$$%%%%%%%%%&&&&&&''''''''''''(((((()))))))))))))))'''&&&$$$%%%'''(((((((((&&&''''''((()))*********(((((((((((('''&&&%%%%%%(((((((((((())))))))))))'''(((((())))))))))))))))))))))))))))))))))))))),,,,,,,,,,,,,,,,,,,,,,,,000///------...///.........///000000111333888;;;EEEWWWppp%%%&&&&&&'''((()))************))))))))))))*********)))'''&&&%%%'''((()))((('''&&&(((+++,,,,,,+++))))))************))))))))))))))))))))))))))))))))))))))))))))))))))))))(((***+++***''''''))),,,)))))))))))))))******+++******************************+++++++++,,,,,,,,,......---,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,...------------...//////..................------////////////////////////000000000000000000000000222111000//////000111222444666999999999999:::;;;::::::;;;===AAAFFFJJJMMMTTTTTTTTTTTTVVV[[[bbbgggkkkjjjjjjmmmttt|||{{{qqqkkkjjjjjjlllttt}}}}}}{{{yyywwwvvvpppmmmgggbbb]]]XXXSSSOOONNNIIIDDDAAA@@@???===;;;999888888888999999777666444444222222222222444444888999:::;;;:::999888777555555555555555555555555333444555555555444333222555666666666666666666666333333333222333333444444333333222222111000000000---...///000000///...---------,,,,,,,,,------...,,,---...000000000//////............---,,,+++***+++***((('''''''''((()))))))))((('''''''''''''''+++(((%%%###"""$$$&&&((())))))((((((''''''''''''))))))((('''&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$######$$$%%%%%%%%%%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%"""""""""######$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$!!!""""""""""""#########'''&&&$$$#########$$$$$$######$$$$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%&&&'''(((((($$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########""""""###$$$%%%&&&&&&'''$$$$$$$$$%%%%%%&&&&&&&&&######""""""""""""######%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%%%%%%%&&&'''''''''''''''''''''''''''((((((((((((((((((((((((''''''''''''((((((((((((%%%%%%%%%&&&&&&&&&''''''((('''&&&%%%%%%&&&'''(((************))))))))))))))))))************)))))))))************+++++++++******+++++++++,,,,,,,,,++++++,,,---///111333444;;;FFFWWWeeesss&&&&&&&&&''''''(((((((((''''''&&&&&&&&&&&&'''''')))((('''&&&&&&'''((()))'''''''''(((+++,,,,,,+++))))))************))))))(((((((((((((((((((((((((((((((((((((((((((((((()))++++++***''''''(((***))))))(((((())))))***+++************************************+++++++++++++++******************+++,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,---------..................------........................////////////////////////111111000//////000111111111333555555444333444555666666777888:::===@@@AAA@@@AAAAAABBBCCCGGGLLLQQQUUUTTTUUUZZZbbbjjjqqqtttvvvyyyyyyrrrnnnhhhffffffkkkrrrwwwwwwuuuyyy|||}}}{{{yyywwwuuuooonnnllliiigggeeeddddddcccbbbaaa___]]]\\\[[[ZZZYYYWWWSSSPPPMMMJJJFFFCCCGGGCCC???<<<<<<<<<:::888999888777888999999777555555444333333333333444555999:::::::::999777666555444444444444444444444444333444555555555444333222222222333333333333444444333333222222222222333333333333222222111000000000---...///000000///...------------,,,,,,------...,,,---...000000000///...............---,,,+++***+++***)))((('''(((((()))))))))((('''''''''''''''(((&&&$$$""""""###%%%&&&(((((((((''''''&&&&&&&&&)))(((((('''&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$######$$$%%%%%%%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&%%%$$$#########$$$$$$######$$$$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&%%%%%%$$$$$$$$$$$$%%%$$$$$$############$$$$$$######$$$$$$$$$%%%%%%%%%$$$%%%%%%%%%&&&'''''''''$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&$$$%%%%%%%%%%%%%%%%%%&&&%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%%%%%%%&&&'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''((((((((((((&&&&&&&&&'''''''''(((((((((((('''&&&&&&&&&''''''(((((())))))))))))))))))))))))************))))))))))))*********+++++++++*********+++++++++,,,,,,++++++,,,---...///111222000888CCCMMMXXXhhh{{{&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&'''''''''''''''''''''''''''&&&'''(((+++,,,+++***((())))))******))))))(((((((((((((((((((((((((((((((((((((((((((((((((((***++++++)))''''''(((***))))))(((((())))))***+++************************))))))))))))******************************++++++++++++,,,,,,,,,,,,,,,,,,***+++,,,---...------,,,------------------......................................................000000////////////000000///111222222000...//////333333444444444444555555444555666777777999===@@@AAA@@@AAAEEELLLSSSXXXZZZ\\\___eeemmmtttxxxxxxwwwwwwvvvuuuvvvxxx||||||vvvppplllkkkccc```\\\]]]aaadddeeeeeeggghhhjjjmmmnnnppppppqqqpppqqqrrrtttvvvwwwwwwwwwvvvyyy}}}|||wwwtttkkkhhhccc```^^^\\\YYYXXXTTTSSSQQQOOOMMMLLLKKKKKKIIIIIIHHHGGGFFFEEEDDDDDDGGGEEECCCBBBCCCBBB@@@>>>@@@===:::999999999999888888777777777888888666555555555444444444444555555999999999888666555333222444444444444444444444444333444555555555444333222111111111111222222222333333333222111111222222333333333222222111000000000......000000000000.........------,,,,,,---------,,,---...///000///......------------,,,++++++*********)))((((((((((((((()))((((((''''''''''''((('''&&&%%%%%%$$$%%%%%%%%%''''''&&&&&&&&&&&&%%%%%%((((((''''''&&&%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%$$$#########$$$$$$######$$$$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$&&&%%%$$$$$$#########$$$$$$$$$############$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&&&&&&&&&&%%%%%%'''''''''&&&&&&%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%$$$'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''(((((((((((('''''''''((((((((()))))))))((('''&&&&&&&&&&&&&&&&&&'''''''''((()))))))))((())))))******))))))((()))))))))*********++++++*********++++++++++++,,,+++++++++,,,,,,---...///---111555:::BBBPPPbbbooo&&&%%%%%%%%%%%%%%%%%%%%%((((((''''''''''''((((((%%%&&&'''((((((((('''''''''&&&''')))++++++***)))(((((())))))))))))((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((***+++((((((((((((((()))******************************(((((((((((()))))))))))),,,,,,------,,,,,,,,,++++++++++++++++++,,,,,,,,,+++---///000111000...---,,,,,,------------..............................------------------------////////////////////////...000111111000//////000333333333333333222111000111333555555555666777999<<<:::999:::===AAACCCDDDGGGIIIMMMSSSWWWYYYYYYYYYXXXXXXXXXYYY\\\___ccceeedddeeedddbbb___]]]]]]^^^[[[WWWQQQNNNNNNPPPRRRRRRSSSTTTTTTUUUWWWYYYZZZ[[[YYYYYYZZZ[[[[[[[[[[[[[[[[[[]]]___aaa```]]]YYYVVVSSSPPPMMMKKKJJJIIIGGGEEEHHHGGGEEECCCBBBAAA@@@@@@???>>>>>>>>>>>>=========>>>===<<<===???@@@???>>>;;;:::888888888999999999777666666666777777555444444444444333333444444444666666666555444333222222333333333333333333333333333444555555555444333222111111222222333444444444333333222111111111222222333333222222111000000000...///000111111000///.........---,,,,,,,,,------,,,---.../////////...---,,,,,,,,,,,,,,,+++*********))))))((((((((((((((()))(((''''''''''''((((((((((((((((((((((((''''''%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$"""""""""#########$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$############$$$&&&&&&&&&%%%%%%&&&&&&&&&######$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$''''''&&&&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''((((((((((((&&&'''''''''(((((((((((()))(((((('''&&&&&&&&&%%%%%%%%%&&&&&&'''((())))))(((((())))))))))))(((((())))))))))))************************++++++++++++++++++++++++++++++,,,---000111222333777AAAOOOZZZkkkxxx%%%%%%%%%%%%%%%$$$$$$$$$)))(((((((((((((((((()))%%%%%%&&&'''((((((''''''&&&&&&''')))++++++)))'''(((((())))))))))))((((((''''''''''''''''''''''''''''''''''''''''''''''''&&&%%%&&&''')))+++,,,,,,((((((((('''((())))))***))))))))))))))))))))))))''''''((((((((()))))))))---......------+++***)))*********++++++,,,,,,,,,+++,,,...000000///---,,,,,,,,,,,,,,,------..............................------------------------.........//////.........+++---000000//////000111111222222333222222111000...000222222111111222333:::888666555777888999888;;;<<>>@@@???>>><<<;;;:::::::::777777777777777777777777666555555666888999999888777777777777777777888999666555555555666666444333222222222222222222222222333333333333333333444444333333333333333333333333333444555555555444333222111111222333333444555555444333333222111111222222333333222222111000000000...///000111111000///...///...---,,,,,,,,,,,,,,,,,,---...//////...---,,,+++++++++,,,++++++***))))))))))))))))))(((((('''((((((''''''''''''((((((&&&'''((())))))(((((('''$$$%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%'''&&&&&&&&&&&&&&&&&&'''######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%"""######$$$%%%&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''((((((((((((%%%%%%&&&&&&&&&'''''''''(((((('''''''''&&&&&&%%%$$$%%%%%%&&&'''(((((()))(((((())))))))))))(((((((((((()))))))))*********))))))*********+++++++++++++++************++++++---...///...000555===CCCOOOZZZkkkzzz%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&&&&''''''%%%%%%%%%&&&''''''((((((&&&&&&''')))++++++(((&&&'''(((((())))))(((((('''''''''''''''''''''''''''''''''''''''''''''''''''&&&%%%$$$&&&)))+++,,,,,,((((((''''''(((((()))***))))))))))))))))))))))))(((((((((((())))))))))))++++++,,,,,,+++***((('''))))))******+++,,,,,,,,,((()))***,,,,,,++++++***++++++,,,,,,------......------------------------------------------------------............------)))+++---.........///000///////////////000000000---///000000//////000111555333111222444666666666555666888777666555666777999999888888999:::<<<===<<<<<<======<<<>>>AAACCCDDDBBB>>>;;;888888888999999999999999:::<<<===>>>>>>>>>>>>===<<<;;;999999<<<;;;:::999999:::<<<===888888777888;;;<<<;;;:::<<<<<<;;;999999888888888444444444444444444444444333222111222444555555444444666777666555444555666555444444444555555333222111111222222222222111111111111111111222333444555222222222222222222222222333444555555555444333222000111111222333444555555555555444333222222222222333333222222111000000000//////111111111111/////////......---,,,,,,,,,,,,------...///...---,,,+++******+++++++++******))))))))))))))))))(((''''''(((''''''''''''(((((()))$$$$$$%%%&&&&&&&&&&&&%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$######$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$#########$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&######$$$%%%%%%%%%$$$$$$######$$$$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$%%%&&&''''''%%%%%%$$$$$$$$$$$$%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$%%%%%%!!!""""""###%%%&&&&&&'''&&&%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((((((((((((%%%%%%%%%&&&&&&&&&&&&'''&&&&&&'''((((((''''''&&&%%%&&&&&&&&&'''((((((((('''(((((())))))(((((('''((((((((()))))))))******)))))))))************++++++************++++++,,,+++,,,.........000222555;;;CCCOOOZZZgggwww$$$$$$%%%%%%&&&&&&''''''&&&%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%'''((()))&&&&&&''')))+++***(((%%%''''''((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''(((&&&%%%&&&(((******)))(((''''''''''''((())))))))))))))))))))))))))))))(((((()))))))))*********'''(((***,,,,,,,,,******((())))))***++++++,,,,,,(((((()))))))))************++++++,,,------......------------------------------------------------,,,---............---,,,***,,,......---,,,---...///...------------//////...///000///......000222000///...///222444555444111333444333111000222444444333333333333444555666555666777666666777999;;;999:::999888666555444444555555666666777777777888888888888999888777777666777777666666666666777888555444444555888999888777::::::999888777777777777555555555555444444444444444333222444555777666555666888:::888666444555666555444333444555444333111111222333333333333222111333222111111111222333444222222222222222222222222333444555555555444333222222222333444555666777777777666555444333333333333333333222222111000000000///000111222222111000/////////...---,,,,,,,,,,,,------...///...---,,,+++))))))***************)))((())))))***)))((('''&&&'''''''''''''''((())))))$$$$$$$$$$$$%%%%%%%%%&&&%%%%%%%%%%%%&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%%%%%%%$$$#########$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$$$$$$$$$$"""#########$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''"""###$$$%%%%%%%%%%%%$$$######$$$$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%&&&&&&&&&######$$$%%%&&&((()))***%%%%%%$$$$$$$$$$$$%%%%%%######$$$$$$$$$%%%%%%%%%#########$$$%%%%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&$$$%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((((((((((((&&&&&&&&&&&&''''''''''''$$$%%%&&&(((((((((((('''''''''''''''''''''((((((''''''((((((((((((''''''(((((((((((()))))))))***))))))))))))************************++++++,,,---,,,...///000000000111111333777===BBBJJJWWWhhhttt$$$$$$%%%&&&&&&'''(((((('''&&&&&&%%%%%%&&&&&&'''&&&%%%$$$###$$$&&&)))***%%%&&&'''***+++***'''$$$''''''((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''''''''+++(((&&&&&&((()))(((&&&'''''''''''''''((())))))))))))))))))))))))))))))))))))))))))************&&&(((+++---/////////...((())))))***++++++,,,,,,******))))))******+++,,,******+++,,,,,,---......------------------------........................,,,,,,---......---,,,,,,---///000000...------...111000...,,,,,,---///000,,,------,,,+++,,,...111000...---///111333333222...000222111//////222444000000000000111222333333222444444444333333444666333555777777666444333333444444555666666666666666333444555666666666666666444555666666666555444333555444444555777777666444666555444444333333333444555555444444444444444333333222222333555666666555:::<<<>>><<<999666666888444333333333444444222000222222444444444444222222555444222111111111222222111111111111111111111111333444555555555444333222555555666777888999:::;;;888777666555444333333333333333222222111000000000///000111222222111000///000///...---,,,+++++++++------.........---+++***((())))))*********))))))((()))*********)))'''&&&'''''''''''''''((()))***%%%%%%%%%%%%%%%&&&'''(((%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%&&&&&&%%%$$$############$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""""""""######$$$$$$%%%""""""######$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%"""###$$$%%%&&&%%%%%%$$$######$$$$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%&&&&&&&&&######$$$%%%''')))+++,,,(((''''''&&&&&&''''''(((######$$$$$$$$$%%%%%%%%%""""""###$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&'''''''''''''''&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((((((((()))''''''''''''((((((((()))###$$$&&&((())))))((((((((((((((((((((('''''''''''''''((((((((((((''''''(((((((((((())))))))))))))))))))))))************************+++,,,---...,,,---...////////////000222444555555888BBBPPP\\\nnn}}}'''''''''&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$#########"""&&&''''''%%%###(((((((((((((((''''''&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$&&&&&&))))))((((((''''''&&&&&&''''''(((((())))))******''''''''''''(((((((((((((((((((((((())))))))))))%%%''')))+++,,,+++******))))))))))))))))))))))))))))))*********+++++++++,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++---------,,,,,,+++++++++++++++,,,,,,,,,,,,------000///...---,,,+++++++++---......//////...------////////////////////////......//////////////////------......//////000000111111111111111111111111111111000000000000111111222222222222222222222222222222222333333333444444555444444333333444444555444333333333333444555555444555777888888666555333666555444333333444555666555555444444333222111111000000111222444555666666999@@@CCC<<<777777777555666555333222111222333333333333333222222111111111///000222222222111///...333222222222222222222222555444444333333222222111555444333555888:::999888:::999777666444444333333333333222222111000//////000000000000///...---,,,000//////...------,,,,,,.........---,,,+++***)))))))))))))))))))))))))))+++******)))(((''''''&&&(((((())))))((('''&&&&&&&&&&&&''''''&&&&&&%%%$$$%%%%%%%%%&&&&&&&&&''''''$$$$$$&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&'''''''''%%%$$$$$$######$$$$$$%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""""""""""""""######$$$$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$#########$$$'''***'''!!!$$$000:::>>>---'''"""$$$%%%$$$$$$&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&%%%%%%&&&&&&''''''%%%$$$$$$&&&&&&%%%###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&'''''''''''''''''''''''''''''''''&&&&&&%%%%%%%%%'''&&&&&&&&&&&&'''(((((())))))))))))))))))))))))((((((((((((((((((((((((((((((((((((((((((((((((&&&''''''((()))******+++)))))))))))))))))))))))))))*********++++++++++++******+++++++++,,,,,,,,,...//////000333777>>>CCCOOO]]]ppp''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$ """$$$&&&'''%%%$$$"""%%%%%%&&&'''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%&&&''''''((((((((((((''''''''''''((((((((((((((()))))))))''''''''''''(((((((((((('''((((((((())))))))))))&&&''')))+++++++++***)))))))))))))))))))))))))))))))))*********+++++++++,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++,,,,,,+++++++++*********+++++++++,,,,,,,,,------,,,,,,,,,,,,,,,---...///..................------........................////////////........................////////////111111111111111111111111000000////////////000000222222222222222222222222222222222333333333333444444444333333333333444444333333333333333444555555444444555666666555444333666666555444444555666666555555444333222222222222000111111222333444444555444;;;===888333333444222555555333222222222333333333333333222222222111111000111333333333222000///222222222222111111111111333333333333444444444444666444333555888::::::888888888666555444333333333333333222111111000//////000000000000///...---,,,//////......---,,,,,,,,,,,,---------,,,+++******))))))))))))))))))))))))******))))))(((''''''&&&((((((((((((((('''&&&&&&)))(((((((((''''''''''''%%%%%%%%%%%%&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%$$$$$$######$$$$$$%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$$$$######$$$$$$###%%%%%%###+++;;;KKKQQQ111)))###$$$&&&%%%$$$%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$###$$$&&&'''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%$$$$$$'''&&&&&&&&&&&&'''((((((''''''''''''''''''''''''''''''''''''''''''''''''((((((((((((((((((((((((&&&&&&''''''(((((())))))))))))))))))))))))))))))))))))))))))*********+++*********+++++++++,,,,,,......//////000333888;;;<<>>FFFOOO^^^ppp}}}&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%((('''&&&&&&%%%%%%%%%%%%###$$$%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&&&&''''''((((((((()))))))))((((((''''''&&&''''''''''''(((((((((((('''''''''((((((((())))))((())))))***))))))((('''))))))))))))))))))))))))))))))))))))************++++++++++++++++++++++++***************************************************++++++++++++,,,,,,,,,...------,,,+++++++++,,,///---,,,++++++---...000------------------------000//////......------,,,/////////......---------.................................------.........111111111111111111111111111111111111222222222222222222111111111111222222222222222222222333333444777666666666666777777888777777666666666666777777666555333111111222333444111111111111111111111222333555777555444444555555555555444444444444444444222222222222222222222222222333333333222111000///////////////000000000000111111111222222333333333333333333444555666666666444444333222111111222222222111111111000000000/////////000//////...------...------,,,,,,+++******)))***+++++++++++++++***(((((((((((((((((((((((())))))(((((((((''''''''''''''''''(((((('''&&&&&&((('''%%%######$$$%%%&&&######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########%%%$$$$$$######$$$$$$%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%########################%%%%%%$$$$$$###$$$$$$%%%'''&&&### !!!(((111777:::...$$$$$$((('''%%%$$$%%%%%%$$$$$$$$$$$$%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%$$$######$$$&&&''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((('''''''''''''''&&&&&&&&&&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''((((((((((((((((((((((((((('''''''''''''''''''''))))))))))))))))))))))))'''''''''(((((((((((()))************++++++++++++***+++------,,,,,,,,,---111333444666;;;FFFUUU```rrrzzz&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$%%%%%%%%%'''&&&%%%%%%%%%&&&'''(((&&&&&&'''''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%&&&&&&''''''(((((())))))((((((''''''&&&&&&''''''''''''((((((((((((''''''''''''((((((((((((((())))))))))))(((((('''))))))))))))))))))))))))))))))))))))))))))))))))******************************************************++++++++++++++++++*********+++++++++,,,,,,------,,,+++++++++,,,,,,...---+++***+++,,,///000------------------------//////......---------,,,//////......------,,,,,,------------------------......------------......000000000000000000000000000000000111111111222222222111111000000111111222222111111111111222333333555444444444444555666777666666777777777777666666555444333222222222333444111111111111111111111222444444555555555444555777555555555555555555555555222222222222222222222222222222222111111000///........./////////000000000111111111111000000//////000000111111222222333333333222222111111111222222111111111000000000000000//////////////////...---...------,,,,,,+++******))))))******+++*********((((((((((((((((((((((((((((((((((((''''''''''''&&&&&&''''''''''''&&&&&&(((&&&$$$###"""###%%%&&&######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########%%%$$$$$$######$$$$$$%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$%%%########################%%%$$$$$$###$$$$$$%%%%%%######$$$$$$%%%'''+++///777---$$$%%%''''''%%%$$$%%%$$$$$$######$$$$$$%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%#########$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%&&&&&&&&&%%%$$$$$$&&&&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&'''((((((''''''''''''''''''''''''''''''''''''''''''''''''(((((((((((((((((((((((())))))((((((((((((((((((((((((((((((((((((((((((&&&'''''''''(((((((((((())))))*********+++++++++(((***,,,---,,,,,,,,,---............000666???EEESSS\\\lll~~~%%%%%%%%%&&&&&&&&&&&&'''######$$$$$$$$$$$$%%%%%%$$$$$$$$$%%%&&&'''((()))'''''''''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&'''''''''((((((''''''''''''''''''''''''''''''((((((((((((&&&&&&'''''''''((((((((((((((((((((((((((((((((())))))))))))))))))))))))***)))))))))))))))(((((())))))))))))))))))))))))*********************************+++++++++++++++************++++++++++++)))))))))***,,,---//////,,,,,,+++++++++---...///,,,,,,,,,,,,,,,,,,,,,,,,------------------------.........---------------------------------------......------------......///////////////////////////000000000000111111111222111111111111111111222111111000000111111222333111111111222333333444444555666666777777666666555333333333333333333333333111111111111222222333333444111111333444222333666444555666666777666666666111222222222222333333333333222222111000///............//////000000111111222222111111000//////...---///000000//////000222222111111111111222222333000000000000000000000000...///////////////............------,,,+++++++++))))))*********))))))((())))))))))))))))))))))))''''''''''''''''''''''''%%%%%%&&&''''''''''''&&&)))(((&&&%%%%%%%%%&&&'''$$$$$$$$$$$$%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%$$$$$$######$$$$$$%%%###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""""""""""""""######$$$$$$$$$%%%%%%%%%$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%%%%######%%%'''&&&###$$$'''111***%%%%%%&&&%%%$$$%%%$$$$$$############$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&%%%%%%&&&&&&''''''&&&$$$%%%%%%&&&$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$$$$$$$%%%'''&&&&&&&&&&&&'''((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&(((((((((((((((((((((((((((((())))))))))))))))))((((((((((((((((((((((((''''''''''''(((((((((((()))))))))************+++(((***,,,---,,,,,,---...***,,,---...///222666999???GGGTTTcccrrr~~~%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$%%%%%%%%%&&&&&&###$$$$$$%%%&&&&&&''''''$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''&&&%%%%%%'''&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''''''''''''''''''''''''''((((((((((((&&&&&&&&&'''''''''((((((''''''''''''(((((()))***))))))))))))))))))))))))******))))))(((((((((((())))))))))))))))))))))))************************)))))))))*********++++++************++++++++++++(((((()))***+++---///000***++++++,,,,,,---......+++++++++++++++++++++++++++,,,,,,------......///,,,------------------...........................//////............///////////////////////////////////////000000000111111222222222111111222222222000000000000000111222222000111222444444444444333444555666666666666555444111222444555555444222111000111111222333444444555555000///222333111111555444555666777888777777666111111222222222333333333444444222111000/////////......///000000111222222222222222222222111111111---///111000......///111111111111111222222333444///000000000000000000000......////////////......//////......---,,,,,,,,,************)))(((''''''))))))))))))))))))))))))''''''''''''''''''''''''$$$%%%&&&&&&'''''''''&&&'''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%$$$$$$######$$$$$$%%%%%%$$$$$$######$$$$$$%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&'''''''''%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%$$$$$$############$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%&&&'''$$$%%%'''$$$"""(((%%%%%%&&&%%%"""###&&&$$$$$$############$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%%%%%%%%%%%%%&&&&&&$$$$$$$$$&&&&&&&&&$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&'''&&&&&&&&&&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((&&&''''''(((((()))))))))((((((((((((((((((((((((''''''((((((((()))))))))))))))))))))***************+++,,,,,,******+++---***,,,...///000111222333777:::@@@JJJUUUbbblllrrr|||%%%%%%%%%&&&&&&'''''''''%%%%%%%%%&&&&&&'''''''''$$$$$$%%%&&&&&&&&&%%%%%%!!!"""###$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&'''(((((('''&&&%%%'''''''''&&&&&&%%%%%%%%%%%%&&&&&&''''''(((((((((''''''''''''((((((((()))&&&&&&&&&'''''''''((((((&&&&&&&&&&&&''')))***+++))))))))))))))))))))))))******))))))((((((((('''))))))))))))))))))))))))))))))))))))))))))))))))'''((((((((())))))******)))************++++++++++++++++++***++++++,,,,,,)))***+++,,,---...------++++++++++++++++++++++++***++++++,,,---...//////,,,,,,,,,------.................................//////............//////////////////////////////////////////000000000000333333222222222222333333000000000000000111111222222333666888888888777666333444555666666555444333000222444666666444222111000111111333444555666666777111000333555222222666444555666888888888777666111111111222222333333333666555444222111000000000...//////000111222222333222222222333333444555555---000111111......000222111111111111222333444444////////////000000000000......///////////////...000//////......---,,,,,,************)))(((&&&&&&))))))))))))))))))))))))&&&'''''''''''''''''''''$$$%%%&&&&&&'''''''''&&&$$$$$$%%%%%%%%%$$$###"""%%%%%%&&&&&&&&&&&&''''''&&&&&&$$$$$$$$$$$$&&&&&&%%%%%%%%%&&&&&&'''''''''%%%$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$%%%#########$$$$$$%%%%%%%%%########################&&&&&&&&&''''''(((((((((%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$############$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$#########$$$%%%%%%&&&&&&###$$$''''''###&&&,,,######%%%'''$$$!!!"""'''$$$$$$############$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$%%%$$$###"""$$$&&&(((''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''((((((((())))))'''&&&&&&&&&&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((%%%%%%&&&&&&'''((())))))(((((((((((((((((((((((((((((((((((())))))))))))))))))))))))************,,,,,,,,,+++)))(((***+++)))***+++,,,,,,,,,,,,,,,000000111555===HHHSSSZZZiiiwww((($$$!!!###'''***(((%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&'''&&&&&&&&&&&&'''((((((%%%%%%%%%&&&&&&&&&''''''((((((((((((((('''''''''''''''&&&&&&&&&&&&''''''&&&&&&'''))))))*********))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))************))))))))))))))))))))))))))))))***++++++++++++++++++++++++*********)))))))))************+++++++++.........------.........+++,,,,,,------,,,,,,+++---------,,,,,,+++++++++***+++,,,---...//////...,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------......//////............////////////111222333222000000111222111111111111111111111111333444666777888777555444888888777555444333222111111222333444333333111111/////////000111111222222333222222111222333555666777666666777:::;;;;;;:::555555444333444555666777999777555444444444333111333222000///......//////111111222333333333333222000000//////.........---//////000000000000//////...------------,,,,,,,,,......////////////......------,,,,,,+++***))))))************))))))))))))'''(((***++++++)))'''&&&''''''''''''''''''''''''$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%&&&&&&''''''(((&&&$$$###%%%((()))'''$$$$$$%%%&&&%%%###"""###$$$&&&&&&&&&''''''(((((((((%%%$$$$$$######$$$$$$%%%%%%$$$$$$$$$$$$$$$%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$######$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$########################"""######$$$$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################)))((('''%%%$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&'''''''''&&&&&&%%%%%%%%%%%%$$$$$$######$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&)))((('''&&&&&&&&&&&&&&&'''&&&&&&''''''((()))***))))))((('''''''''''''''''''''''''''''''''''''''(((((((((((((((((((((((()))(((&&&%%%&&&''')))+++))))))))))))))))))))))))++++++******++++++,,,---******+++++++++,,,,,,,,,111000///000333888===@@@MMMYYYkkkzzz'''$$$"""###(((***)))&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''%%%%%%%%%&&&&&&&&&''''''((((((((((((''''''''''''''''''&&&&&&&&&&&&''''''&&&&&&'''((())))))))))))(((((((((((((((((((((((((((((((((((((((((((((((())))))))))))************))))))))))))))))))))))))((())))))***************+++++++++*********)))))))))************+++++++++...------,,,,,,------...***++++++++++++++++++***------,,,,,,,,,+++++++++++++++,,,,,,------......,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,........................---.........////////////000111222222000000111222111111111111111111111111333444555777777666555444777777666555444333222222///000111222222222111000//////000000111111222222333222111111111222333444555444444666888:::999888555444333333333444666666888666444444444555444333222111///...---......///000000111222222222222222000000000/////////......///000000000000000000///.........------,,,,,,,,,......////////////......------,,,++++++***))))))*********)))))))))(((((((((((()))))))))((('''&&&''''''''''''''''''''''''$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%'''%%%$$$$$$&&&&&&%%%"""$$$&&&&&&%%%$$$###$$$%%%%%%%%%&&&&&&&&&'''''''''%%%$$$$$$######$$$$$$%%%&&&%%%%%%$$$$$$$$$%%%%%%########################%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%$$$$$$######$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$########################%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################((('''&&&$$$$$$$$$$$$%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%$$$$$$######$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&(((((('''&&&&&&&&&&&&&&&'''&&&&&&''''''((()))***))))))(((''''''''''''''''''''''''''''''''''''''')))))))))))))))))))))))))))(((&&&&&&&&&''')))***))))))))))))))))))))))))***))))))))))))***++++++*********+++++++++,,,,,,,,,,,,,,,---///333666999999CCCPPP]]]iiivvv'''$$$"""$$$(((+++***(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$%%%&&&'''(((''''''&&&%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''''''''((((((((((((''''''(((((((((((((((((((((((((((((((((((((((((((((((())))))))))))************))))))))))))))))))))))))'''(((((()))))))))))))))+++************))))))))))))************+++++++++,,,,,,++++++++++++,,,,,,))))))************)))))),,,,,,,,,,,,++++++++++++,,,,,,++++++++++++,,,---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,//////..................---------.........//////...000111111000000111333000000000000000000000000222333555666666666555444666666555444444333222222---...///000000000000000//////000000111222222222222222111000000000111111333222222333555777666666444444333333333444555666666444333333444555555444111000///------------...//////000111111111111000111000000000000000//////000000111111111111000000//////...---,,,,,,++++++---......//////......---,,,,,,,,,+++******))))))******))))))))))))((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&'''''''''&&&%%%$$$$$$$$$'''%%%######%%%&&&%%%$$$%%%&&&'''&&&%%%$$$$$$&&&$$$%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$######$$$$$$%%%'''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&###$$$$$$%%%%%%$$$$$$$$$###$$$$$$%%%%%%$$$$$$###################################################&&&&&&%%%%%%$$$######"""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$'''&&&%%%$$$#####################$$$$$$%%%%%%&&&%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&&&&&&&&&&&&&&&&'''&&&&&&''''''((()))***)))((((((''''''''''''(((''''''''''''''''''''''''))))))))))))))))))))))))(((''''''&&&&&&((()))***)))))))))))))))))))))))))))(((((((((((()))***************++++++++++++,,,))))))***+++,,,...000111///444;;;BBBLLLXXXfffppp&&&$$$###%%%(((*********%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&###$$$&&&(((((('''&&&%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&'''''''''''''''((('''&&&&&&%%%%%%&&&&&&'''(((((()))))))))(((''''''((((((((((((((((((((((((((((((((((((((((((((((((((()))))))))************))))))))))))))))))))))))&&&''''''((()))(((((((((************))))))))))))))))))*********+++++++++++++++************++++++)))******************))),,,+++++++++++++++++++++---,,,+++*********+++,,,++++++++++++++++++++++++++++++++++++++++++++++++/////////............---,,,,,,---------.........---...000000000000111333111111111111111111111111222222333444555444444333555444444444333333222222---......///000000000111///000000111111222333333333333222222111111000000111000///111333444444333333333333333333444444444444333222222444666666555111000...---,,,,,,---------...//////000000//////111111111111000000000000000000111111111111000000//////...---,,,++++++***---------......---------,,,+++++++++******))))))***)))))))))(((((((((((()))'''&&&$$$$$$%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%$$$###$$$%%%'''((((((&&&'''((('''%%%$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%&&&%%%$$$###############$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%%%%$$$$$$###$$$$$$%%%%%%$$$$$$###""""""""""""""""""""""""########################%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$#########""""""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%&&&&&&&&&'''&&&&&&''''''((()))***)))(((''''''''''''((((((''''''''''''''''''''''''(((((((((((((((((((((((((((''''''''''''((()))))))))))))))))))))))))))))))))(((((((((((()))******************++++++++++++******+++,,,---.........111222333555999AAAJJJQQQ%%%$$$$$$%%%''')))******%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&###$$$&&&(((((('''&&&$$$%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&&&&''''''((((((&&&&&&%%%%%%%%%%%%&&&&&&))))))*********)))((((((''''''''''''''''''''''''''''''''''''''''''''''''((()))))))))************((((((((((((((((((((((((&&&&&&'''((((((((((((((())))))))))))))))))))))))))))))*********+++++++++*********))))))***************++++++++++++******++++++++++++++++++++++++,,,,,,++++++******++++++++++++++++++++++++++++++++++++++++++++++++++++++............------------,,,,,,,,,,,,------------,,,...////////////111222222222222222222222222222111222222333333333333333333333333333333222222222////////////000000111111000000000111222222333333444444444333333222111111000///...///111222222111111222222333333333333333333111111222444666666666111000...---,,,,,,------------...////////////...000000000000111111111111000000111111111111000000//////...---,,,,,,++++++,,,,,,------------,,,,,,++++++***************))))))))))))((((((((((((''')))'''%%%######$$$&&&'''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''(((&&&'''((('''%%%$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$###"""""""""""""""$$$$$$$$$$$$$$$$$$$$$$$$########################"""###$$$%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###""""""""""""""""""""""""##############################$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$##################""""""'''&&&&&&%%%$$$###""""""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&''''''&&&&&&''''''((()))***((((((''''''''''''(((((('''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''((())))))((((((((((((((((((((((((***))))))))))))***++++++))))))*********+++++++++***+++,,,------,,,,,,+++000000//////000222666999%%%%%%%%%%%%%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&###$$$%%%&&&'''&&&&&&%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&''''''((((((&&&&&&%%%%%%%%%%%%&&&&&&(((((()))))))))))))))(((''''''''''''''''''''''''''''''''''''''''''''''''))))))))))))************((((((((((((((((((((((((&&&''''''((((((((((((((((((((()))))))))))))))***)))************+++++++++******))))))))))))*********++++++++++++++++++************+++++++++++++++***+++,,,,,,,,,,,,,,,+++++++++++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,------------+++++++++,,,,,,,,,------,,,...//////......///111111111111111111111111111111111111111222222222333222222222222222222222333000000////////////000000000000111111222333333333333333444444444333222222000///...///111222111000000111222333333333222222222111000111444666666666111000///------------...------...////////////...//////000000000000000111//////000000000000//////......---------,,,,,,,,,+++,,,,,,------,,,,,,+++************************))))))(((((((((((('''''')))'''&&&$$$$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&#########$$$%%%&&&&&&&&&'''((()))(((&&&$$$###$$$%%%&&&'''&&&%%%$$$$$$&&&%%%%%%%%%$$$$$$$$$$$$###%%%$$$$$$######$$$$$$%%%######""""""""""""######%%%%%%%%%%%%%%%%%%%%%%%%########################"""###$$$$$$%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###################################################"""######$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$######"""'''&&&&&&%%%$$$###""""""###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&''''''&&&%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&''''''((()))***(((''''''''''''(((((()))''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((((((((((((((((((((((((((((((((((((***))))))))))))***++++++)))))))))************+++))))))************))))))------...//////000000000%%%%%%%%%$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$$$$%%%&&&&&&'''((((((&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&'''((((((((('''''''''''''''''''''''''''''''''''''''''''''''''''))))))))))))************((((((((((((((((((((((((''''''((())))))))))))((((((((((((((())))))******)))************++++++++++++******))))))******+++))))))************)))))))))*********++++++++++++)))***---//////...---+++************************************************))))))***++++++,,,------++++++++++++,,,,,,,,,,,,---...//////------...///////////////////////////000000000000000111222222000111111111222222333333111000///------------...000111111222222333333444111111222333444333222222111000///000222222222111000000222333333333222111222111000111444555666555222111///...---......///------...///////////////....../////////000000000......////////////......,,,,,,,,,------------...++++++,,,,,,,,,,,,++++++))))))))))))************))))))((((((((('''''''''((((((&&&%%%%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$%%%%%% ###''''''%%%######$$$$$$&&&&&&%%%$$$###$$$%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%############$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%########################""""""###$$$%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$"""######$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%%%%$$$######$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&######$$$$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''(((((('''%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&''''''&&&&&&''''''((()))***'''''''''''''''((())))))''''''''''''''''''''''''''''''''''''''''''''''''&&&''''''((((((((((((((((((((((((((((((((((((((()))(((((((((((()))******))))))))))))************))))))))))))))))))))))))++++++,,,...//////...---%%%%%%%%%$$$###"""###%%%&&&&&&&&&&&&&&&&&&&&&&&&######$$$$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&'''%%%%%%%%%&&&&&&&&&''''''$$$$$$%%%%%%&&&'''((((((&&&%%%%%%$$$$$$%%%%%%&&&"""###$$$%%%&&&&&&'''&&&''''''''''''''''''''''''''''''''''''''''''''''''))))))))))))************(((((((((((((((((((((((('''(((((()))))))))))))))'''((((((((())))))******)))************+++++++++++++++************++++++(((((())))))))))))(((((())))))******++++++++++++'''***---000111000---,,,************************************************''''''(((***+++,,,---...******+++++++++,,,,,,,,,---...//////---,,,---...........................000000000000000111111222000000000111222222333333111000...,,,+++++++++,,,000111111222222333444444///000111222333333222111222111000111222333222111///000111222333222111111333111000111333555555555333222000///......//////---...//////000000//////---.........//////000000------............------++++++,,,------......///+++++++++,,,,,,+++++++++)))))))))))))))*********)))(((((((((''''''''''''((((((''''''&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&%%%$$$$$$#########"""&&&&&&%%%&&&'''$$$%%%&&&%%%###"""###$$$&&&&&&&&&%%%%%%$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$%%%&&&'''((()))%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!"""###$$$%%%&&&&&&&&&$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################&&&&&&%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######%%%&&&&&&%%%$$$###!!!""""""$$$%%%&&&''''''#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&#########$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''(((((('''%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$%%%%%%&&&''''''&&&&&&''''''((()))***'''''''''''''''((()))***''''''''''''''''''''''''((((((((((((((((((((((((&&&''''''((()))((((((((((((((((((((((((((((((((('''''''''''''''((())))))))))))))))))************++++++*********++++++,,,)))((((((((()))***)))'''$$$$$$%%%%%%%%%$$$$$$###$$$&&&((())))))(((&&&$$$######$$$$$$$$$%%%%%%%%%########################$$$$$$%%%%%%%%%%%%&&&&&&$$$#########$$$&&&((()))'''&&&&&&&&&&&&'''(((((($$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$$$$%%%%%%$$$$$$''''''''''''''''''''''''(((((((((((((((((((((((())))))(((((('''''''''&&&%%%%%%%%%&&&%%%%%%$$$$$$((()))))))))))))))(((((((((((())))))))))))(((((()))))))))))))))******+++******))))))))))))******************************))))))))))))))))))))))))(((***+++------,,,+++***************************,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++---------,,,,,,+++++++++------,,,,,,,,,---......***+++---.........------111000///......///000111222333555555444444666777222333111---,,,///000...000000000000000111222222111111000000000000000111///000222444444222000///000111111111222222222222222222222222222222222222...........................---,,,+++,,,---...///////////////////////////000000///...------,,,,,,---------............///---,,,,,,++++++******)))((()))+++,,,+++***(((&&&(((((((((((((((''''''&&&&&&&&&&&&%%%%%%$$$$$$$$$(((((('''&&&%%%%%%$$$$$$((('''%%%$$$###$$$$$$%%%%%%%%%%%%&&&''''''$$$"""%%%%%%#########$$$%%%&&&%%%%%%$$$$$$###$$$$$$$$$!!!"""$$$%%%%%%$$$"""!!!""""""#########$$$$$$$$$%%%%%%%%%%%%$$$$$$###"""%%%%%%%%%$$$$$$$$$#########$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$###""""""###$$$%%%""""""""""""""""""""""""########################$$$$$$$$$$$$$$$$$$$$$$$$########################$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%######$$$%%%######$$$$$$$$$%%%%%%%%%###$$$%%%%%%$$$###"""!!!###%%%&&&&&&%%%$$$$$$%%% !!!###%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''((((((((((((((((((((((((''''''''''''((((((((((((((((((''''''''''''((((((&&&%%%%%%%%%%%%&&&''''''(((((((((((((((((((((((())))))))))))))))))))))))(((((()))***************))))))))))))******************++++++++++++******$$$$$$%%%%%%%%%$$$$$$###%%%&&&(((******(((&&&%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%&&&'''))))))%%%%%%$$$$$$%%%%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''')))((((((((('''''''''&&&)))(((((('''&&&$$$"""!!!(((((())))))))))))(((((((((((())))))))))))(((((())))))(((((())))))***+++******))))))))))))******))))))))))))))))))))))))))))))))))))))))))))))))(((***+++------,,,+++***************************,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++------,,,,,,,,,+++++++++,,,,,,,,,+++,,,,,,---...,,,---............---,,,000//////.........///000///000222333444555777999888;;;999333//////...,,,///////////////000111111111000000//////000000111///000222444444222000///000000000000111111111222222222222222222222222222////////////////////////000///---,,,,,,,,,,,,---////////////////////////000//////...------,,,,,,------------............------,,,,,,+++***************+++++++++***)))(((((())))))))))))(((''''''''''''''''''&&&&&&&&&&&&(((''''''&&&%%%%%%$$$$$$'''&&&%%%$$$$$$$$$%%%&&&%%%$$$$$$%%%&&&'''%%%$$$%%%%%%$$$#########$$$$$$%%%%%%$$$$$$###$$$$$$%%%###$$$%%%&&&&&&%%%$$$#####################$$$$$$$$$$$$%%%%%%%%%$$$######%%%%%%%%%$$$$$$$$$#########$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$################################################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%######$$$%%%######$$$$$$$$$%%%%%%%%%###$$$$$$%%%$$$###"""!!!"""$$$%%%%%%$$$######$$$ !!!"""###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''((((((((((((((((((''''''''''''((((((&&&&&&&&&&&&&&&''''''((((((((((((((((((((((((((((((((((((((((((((((((((((((((()))************)))(((((()))))))))*********)))******++++++******)))$$$$$$%%%%%%%%%%%%$$$$$$%%%&&&'''))))))'''&&&%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&''''''&&&&&&&&&&&&''''''######""""""######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%&&&&&&$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''(((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''(((((((((''''''''''''''')))))))))((('''%%%$$$###'''(((((())))))((((((((((((((())))))))))))(((((())))))(((((())))))***+++***))))))(((((())))))***(((((((((((((((((((((((())))))))))))))))))))))))((()))+++,,,,,,,,,+++***************************++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,++++++++++++++++++******++++++,,,---------.........------,,,......---------......///---///222444555888<<>>555000...,,,///............///000000000000////////////000000///000222333333222000///////////////000000000000111111111111111111222222000000000000000000000000111000///---,,,,,,,,,,,,/////////////////////////////////...------,,,,,,------------..................---,,,,,,++++++***++++++***)))))))))))))))))))))******))))))((('''((((((((((((((()))))))))'''''''''&&&&&&%%%%%%$$$%%%%%%$$$$$$$$$%%%&&&&&&%%%###"""###%%%&&&&&&&&&$$$%%%%%%%%%$$$###""""""%%%$$$$$$###$$$$$$%%%%%%$$$%%%&&&''''''&&&%%%$$$$$$$$$########################$$$%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$$$$#########$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%######$$$%%%######$$$$$$$$$%%%%%%%%%###$$$$$$$$$$$$###""""""!!!###%%%$$$###"""############""""""######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&'''((($$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''&&&''''''''''''(((((((((((((((''''''''''''((((((''''''&&&&&&''''''((()))(((((((((((((((((((((((((((((((((((((((((((((((('''((())))))******))))))(((((())))))))))))******)))******++++++******)))$$$$$$%%%%%%&&&%%%%%%%%%###$$$&&&''''''&&&$$$#########$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$############""""""""""""###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%%%%%%%%%%%%%&&&%%%%%%&&&''''''&&&&&&%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&'''(((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&''''''(((((((((((((((''''''(((((()))((((((((((((((())))))))))))((((((((((((((((((((()))******))))))(((((((((((())))))(((((((((((((((((((((((())))))))))))))))))))))))))))))***+++,,,++++++***************************++++++++++++++++++++++++************************,,,+++++++++++++++++++++*********)))***++++++,,,,,,,,,------............------,,,---------......---///333555888<<>>888444111//////...------------...---------------...///000111111111222222111111111............////////////......//////000000111111////////////////////////,,,---...000111111111111////////////////////////........................,,,,,,,,,,,,------------------,,,++++++******))))))(((&&&%%%$$$%%%'''((())))))******))))))((('''&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%&&&&&&&&&%%%%%%$$$"""!!!"""$$$%%%%%%%%%""""""###############"""############$$$%%%&&&&&&########################""""""#########$$$$$$$$$######$$$%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$$$$#########$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$######""""""""""""""""""""""""########################$$$$$$$$$$$$$$$$$$$$$$$$########################%%%$$$###""""""###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%######$$$%%%######$$$$$$$$$%%%%%%%%%#########"""######$$$%%%###%%%''''''%%%$$$%%%&&&%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%((('''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&''''''''''''&&&&&&''''''((()))((((((((((((((((((((((((''''''''''''''''''''''''&&&'''(((((())))))((((((''''''(((((((((((())))))((())))))******))))))(((###$$$%%%&&&''''''''''''$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%&&&'''&&&%%%$$$$$$$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%)))(((%%%$$$###$$$&&&'''######$$$%%%%%%&&&''''''$$$$$$%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''(((((((((((('''&&&%%%%%%$$$%%%&&&'''(((((((((((((((((())))))))))))(((((((((''''''''''''((())))))((((((''''''''''''(((((((((((((((((((((((((((((((((((((((((((((((((((((()))))))))))))))******+++))))))))))))))))))))))))))))))))))))))))))))))))************************)))*********+++++++++++++++************+++,,,,,,+++***)))))))))***+++,,,***+++---.../////////...---...//////000444888<<<>>>BBBBBB===888555222///000//////...------......,,,,,,,,,,,,---...///000111111111111111111111111....../////////000000000------...//////000111111000000000000000000000000......000111222111111000////////////////////////........................++++++,,,,,,,,,---------,,,++++++******))))))(((***)))((('''''''''((((((((())))))))))))(((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&&&&%%%$$$#########"""###%%%%%%$$$""""""!!!!!!""""""###$$$%%%############$$$%%%&&&'''$$$$$$$$$######$$$$$$$$$!!!!!!"""###$$$%%%%%%&&&$$$$$$%%%%%%%%%$$$######%%%%%%%%%$$$$$$$$$#########$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$################################################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$######$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%######$$$%%%######$$$$$$$$$%%%%%%%%%######"""""""""###%%%%%%###$$$&&&&&&$$$###$$$%%%$$$$$$#########$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&''''''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&''''''(((((((((((((((((((((((((((''''''''''''''''''''''''&&&'''(((((())))))(((((('''''''''((((((((())))))(((((())))))))))))((((((###$$$%%%&&&''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%########################$$$$$$%%%%%%%%%&&&&&&&&&""""""$$$$$$%%%$$$###"""###############$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$%%%+++(((%%%###"""$$$&&&(((######$$$%%%%%%&&&''''''$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''$$$%%%&&&'''(((((((((((($$$%%%&&&'''(((((((((((((((((())))))))))))(((((('''''''''''''''((())))))((((((''''''''''''((((((''''''''''''''''''''''''(((((((((((((((((((((((()))))))))))))))******+++))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))******++++++++++++++++++******++++++,,,------,,,***(((((((((((()))***,,,---///000000//////111111111000000333777;;;555777777444222222000,,,111000///...............,,,++++++,,,---...///000111111111111111111111111////////////000000000000---------...///000000111111111111111111111111111///000111222222111//////////////////////////////---.....................++++++,,,,,,,,,---------++++++******)))(((((((((+++******)))))))))))))))(((((((((((((((''''''&&&((((((''''''&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&'''&&&%%%###"""#########$$$%%%%%%""" !!!!!! !!!###%%%&&&############$$$%%%&&&'''&&&%%%%%%$$$$$$%%%%%%&&& !!!###$$$%%%&&&'''%%%%%%%%%%%%%%%$$$###"""%%%%%%%%%$$$$$$$$$######$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$###""""""###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&$$$######$$$&&&'''$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%######$$$%%%######$$$$$$$$$%%%%%%%%%######"""""""""###%%%&&&"""###%%%%%%###"""###$$$######""""""######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''&&&%%%%%%%%%%%%&&&''''''((((((((((((((((((((((((''''''''''''''''''''''''&&&''''''(((((((((((((((''''''''''''((((((((()))(((((())))))))))))((((((%%%$$$###""""""###$$$%%%&&&%%%###"""""""""############$$$$$$$$$%%%%%%%%%$$$$$$##################$$$$$$$$$$$$######"""!!!&&&$$$""""""###%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###"""###$$$$$$%%%&&&'''''',,,***(((&&&%%%$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&((())))))(((''''''((((((((())))))((('''&&&&&&((('''&&&%%%%%%&&&'''(((((()))))))))))))))(((''''''(((((((((((((((''''''((((((((((((((((((((((((&&&&&&%%%%%%%%%&&&'''''''''((((((((())))))******''''''&&&%%%&&&'''((()))))))))(((((('''''''''&&&))))))))))))(((((((((((()))))))))***++++++,,,,,,,,,***)))((((((***,,,---)))***+++***))))))+++---,,,,,,,,,++++++*********............///////////////////////////000111111444444333333333333333222111111000///////////////000000000000000000000000...///111333444333222000444333222111000///...---,,,---------......//////...///222333333222111000222222222222111111000/////////............//////......------------.........---,,,,,,++++++,,,,,,))))))))))))((((((((('''$$$%%%(((***++++++***)))******))))))(((((('''''''''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&%%%%%%%%%$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######%%%'''***+++$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&%%%###"""###$$$######$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$########################""""""""""""############"""############$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&###$$$%%%%%%%%%%%%$$$### !!!###$$$$$$$$$###################################################$$$$$$$$$$$$$$$$$$$$$$$$###"""!!! !!!"""###########################$$$$$$###"""!!!!!!""""""$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$''''''$$$!!!$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%###$$$$$$%%%&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%$$$$$$#########%%%%%%%%%&&&&&&%%%$$$$$$############$$$%%%&&&&&&''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''(((((((((((())))))******&&&&&&&&&&&&&&&&&&&&&&&&++++++***)))((('''&&&&&&(((((((((((((((((((((((())))))))))))((((((((((((%%%$$$###""""""###$$$%%%%%%%%%###"""""""""###############$$$$$$$$$%%%%%%########################%%%%%%&&&&&&&&&%%%$$$$$$%%%###"""""""""###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%)))(((&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''))))))'''&&&'''(((((((((((((((((('''&&&&&&''''''&&&%%%%%%&&&''''''''''''(((((()))((((((((('''''''''((((((''''''&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&'''((()))'''''''''(((((()))))))))'''&&&&&&%%%&&&'''((())))))((((((((('''''''''''')))(((((((((((((((((((((***************)))))))))+++***)))((((((***+++,,,***+++,,,+++******,,,...,,,,,,,,,+++++++++******------......//////000000///////////////000000111222222222222111111111111000000000000////////////000000000000000000000000///000111222222222111000222222111000///...---,,,------.........////////////000111222333222222111222222222222222111000000//////............//////---------,,,,,,---------...---,,,,,,++++++,,,,,,************))))))))))))%%%''')))***+++***))))))))))))))))))((((((''''''''''''''''''''''''''''''&&&&&&%%%%%%%%%%%%&&&&&&#########"""""""""!!!!!!%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$###$$$&&&)))***$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&%%%###"""###$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$########################""""""""""""############"""############$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$%%%&&&&&&&&&&&&%%%$$$ !!!###$$$$$$$$$$$$###################################################$$$$$$$$$$$$$$$$$$$$$$$$######"""!!!!!!"""##############################%%%%%%$$$###############$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&$$$###%%%''''''%%%###$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%$$$$$$$$$######%%%%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&((((((((('''''''''''''''''''''''''''''''''''''''((((((((((((((()))))))))$$$$$$############$$$$$$%%%$$$######"""##################$$$$$$$$$$$$%%%########################$$$$$$%%%&&&&&&&&&%%%%%%$$$###""""""""""""######$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&'''''''''%%%'''(((((('''&&&&&&''''''(((((((((((('''&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%&&&'''((((((((((((&&&''''''(((((('''''''''''''''''''''''''''''''''''''''&&&&&&'''((())))))'''''''''''''''((((((((('''&&&&&&&&&&&&'''((((((((((((((((((''''''''''''((((((((((((((((((((((((+++******)))((((((''''''))))))(((((())))))***++++++,,,---,,,++++++---///,,,,,,,,,,,,++++++++++++,,,,,,---...//////000000//////......//////000111//////000000000000000000000000000000000///......000000000000000000000000111111111111111111000000000000//////...---,,,,,,......////////////000000000111111111222222222222222222222333222222111111000//////......//////000---,,,,,,,,,,,,,,,,,,---...---,,,,,,++++++,,,,,,+++***************++++++((()))***++++++***)))((()))))))))(((((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$$$$$$$%%%'''((($$$$$$$$$$$$$$$$$$$$$$$$###%%%%%%%%%###"""###$$$%%%%%%%%%&&&&&&%%%%%%%%%###########################$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""""""""#########$$$$$$"""############$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%&&&&&&''''''&&&&&&%%%###$$$$$$%%%%%%$$$$$$###################################################$$$$$$$$$$$$$$$$$$$$$$$$$$$######""""""######$$$########################&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$'''&&&$$$$$$&&&'''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%%%%''''''&&&&&&%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''''''''((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''(((((())))))***$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$$$$###############$$$$$$$$$!!!"""######$$$$$$$$$$$$$$$$$$$$$$$$###"""###$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''((((((%%%&&&((((((&&&%%%&&&''''''''''''(((((('''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&''''''((((((''''''((()))))))))((((((''''''''''''''''''''''''(((''''''&&&&&&&&&''''''&&&&&&''''''''''''''''''&&&&&&&&&&&&''''''(((((((((((((((((((((''''''''''''''''''((((((((((((((())))))((((((''''''''''''(((((()))))))))************+++,,,,,,++++++,,,...,,,,,,,,,,,,,,,,,,,,,,,,+++,,,------...///000000///............///000000.../////////000000111111///000000111000///......////////////////////////333222111000//////000000000//////......---------/////////000000000000000111111000000000111222333111111222222222222222111000000////////////000000...------,,,,,,------......---,,,,,,++++++,,,,,,******)))))))))***+++,,,******++++++***)))((((((((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$######$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%$$$$$$%%%%%%&&&###########################$$$%%%$$$###"""###$$$$$$$$$%%%%%%%%%%%%$$$$$$""""""""""""""""""""""""###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""#########$$$$$$$$$""""""#########$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$################################################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$'''%%%$$$###$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&%%%%%%((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''(((((((((((())))))))))))&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&'''''''''''''''''''''''''''''''''&&&&&&''''''((()))******$$$$$$$$$%%%%%%$$$$$$$$$############$$$#########""""""#########$$$$$$$$$""""""#########$$$$$$$$$!!!"""######$$$$$$$$$$$$$$$&&&'''&&&$$$######%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$#########$$$%%%%%%&&&''''''$$$%%%%%%&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''(((((($$$%%%''''''%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######%%%&&&'''''''''''''''((()))***************'''''''''''''''''''''''')))((('''&&&%%%%%%%%%%%%''''''''''''''''''&&&&&&&&&&&&&&&''''''''''''''''''''''''(((((((((((((((&&&&&&''''''((((((((()))&&&&&&''''''(((((((((((('''((()))***+++******))))))***+++***)))***+++---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---...//////000...............//////000//////000000111222333333000000000000000//////...////////////////////////222222111000/////////000////////////////////////000000000000000/////////000000/////////000111222///000000111222222222222000000////////////000000//////............//////...---,,,,,,++++++,,,,,,***)))(((''''''(((***++++++*********))))))(((''''''''''''''''''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$######$$$$$$%%%""""""""""""############%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%$$$$$$$$$$$$########################"""###$$$$$$""""""###$$$######$$$$$$$$$$$$######""""""""""""""""""""""""###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$""""""#########$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%''''''&&&%%%%%%$$$$$$$$$################################################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$##############################""""""""""""###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""""""""$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&&&&%%%&&&&&&%%%$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((((((((('''''''''&&&&&&''''''''''''''''''''''''%%%&&&&&&'''((())))))***$$$$$$%%%%%%%%%%%%$$$$$$""""""###$$$$$$$$$$$$###"""""""""############$$$"""""""""###$$$$$$%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%$$$''')))(((%%%###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###"""######$$$&&&''''''((($$$%%%&&&&&&&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&'''''''''###%%%&&&&&&%%%$$$$$$%%%%%%%%%&&&''''''''''''&&&%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%&&&''''''''''''''''''((()))************&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&'''''''''(((((((((((('''''''''''''''%%%&&&''''''(((((('''''''''''''''(((((((((((((((&&&&&&&&&''''''(((((()))&&&&&&''''''((())))))***''')))+++,,,---,,,***))))))***+++***))))))+++---,,,,,,,,,,,,---------------------------...............------......///000//////000111333444555555111111000///////////////000000000000000000000000000000000000000000////////////////////////000000000000////////////..................////////////---...///000111111111111111000000//////000000111000000////////////000000...---,,,,,,++++++,,,,,,+++***(((&&&&&&'''((()))******))))))((((((''''''&&&''''''''''''(((((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%#########$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$########################!!!"""$$$###""""""###$$$"""######$$$$$$######"""###########################$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$$$$$$$%%%"""############$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%$$$$$$######$$$$$$%%%'''&&&%%%%%%$$$$$$$$$%%%################################################$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###########################"""""""""!!!""""""###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$###!!!!!!###$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%###$$$$$$$$$$$$%%%%%%%%%######$$$%%%&&&&&&&&&&&&%%%%%%$$$#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&)))(((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((()))$$$$$$%%%&&&&&&%%%$$$$$$!!!"""###$$$%%%$$$$$$###""""""""""""############!!!""""""###$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%$$$$$$###'''***((($$$!!!"""%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$%%%&&&&&&%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&###$$$&&&&&&$$$###$$$%%%$$$%%%&&&&&&'''''''''&&&%%%&&&''''''''''''&&&%%%%%%&&&''''''''''''&&&&&&%%%&&&'''(((((()))))))))&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&(((***,,,---...)))))))))(((((('''''''''%%%&&&'''((((((((('''&&&''''''''''''((((((((()))%%%%%%&&&''''''((())))))((((((((((((((((((((()))((())),,,...///---+++)))***+++++++++******,,,---,,,,,,,,,---------............------------,,,,,,...------------...//////...///000111333444555666333111///------...000111000000000000000000000000...///000111111000000///---------......//////////////////.........------+++,,,---.........---,,,+++,,,---///000000111111111111000000000000111111//////............//////...---,,,,,,++++++,,,,,,...,,,***'''&&&'''((()))((((((''''''''''''''''''&&&&&&&&&'''''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&'''''''''%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%%%%$$$$$$######################## """######""""""###%%%###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$$$$%%%%%%"""############$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%$$$$$$$$$$$$%%%&&&&&&%%%$$$######$$$%%%%%%################################################$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$%%%%%%$$$###"""###########################"""""""""######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!###%%%%%%###"""###$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%######$$$$$$$$$%%%%%%%%%"""###$$$%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''')))))))))(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''$$$$$$&&&&&&&&&&&&$$$$$$!!!"""###$$$%%%%%%$$$###""""""""""""############!!!""""""###$$$$$$%%%%%%$$$$$$$$$$$$$$$###"""!!!"""&&&)))(((### !!!$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$###$$$$$$%%%$$$###"""!!!$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&%%%%%%"""$$$&&&&&&$$$###$$$%%%$$$%%%&&&&&&'''''''''&&&&&&&&&'''(((((('''&&&&&&'''''''''(((''''''&&&&&&###$$$%%%&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&###$$$&&&))),,,000333444******))))))((((((((('''%%%%%%'''((((((((('''&&&&&&'''''''''(((((())))))%%%%%%&&&&&&'''((())))))*********)))((((((''''''(((***---///000...+++***+++,,,,,,,,,++++++---///,,,,,,,,,------.........///......------,,,++++++...------------...//////---...///111222444555666444222///,,,,,,...000222000000000000000000000000,,,---000111222111000///+++,,,,,,------.........//////......---------,,,)))***,,,......---,,,+++***+++,,,...///000000000111111000000000000111111......------------.........---,,,,,,++++++,,,,,,000...+++(((''''''(((***''''''&&&&&&&&&&&&'''(((&&&&&&&&&'''''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''"""""""""######$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$%%%%%%%%%%%%$$$"""""""""""""""""""""""" """######""""""###%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%"""############$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&'''&&&%%%%%%%%%%%%&&&'''%%%$$$#########$$$%%%&&&################################################$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$%%%%%%$$$###"""########################$$$#########$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!$$$''''''$$$######%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%###$$$%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&%%%%%%#########$$$$$$%%%%%%%%%"""###$$$%%%&&&&&&'''&&&%%%%%%%%%%%%&&&&&&'''(((''''''''''''''''''''''''%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&"""######$$$&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&######$$$$$$$$$$$$######"""###$$$$$$###"""###$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###############$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$$$$%%%&&&''''''######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&'''''''''&&&$$$"""###%%%&&&%%%"""%%%%%%%%%&&&&&&&&&'''''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&'''(((((('''&&&%%%$$$%%%&&&''''''&&&&&&%%%%%%&&&&&&'''%%%&&&((()))***---222666999111((($$$&&&)))***)))&&&&&&&&&''''''''''''(((######$$$%%%&&&'''))))))&&&''''''((()))******+++((((((''''''''''''(((((('''((()))******++++++*********++++++++++++******,,,,,,,,,------,,,++++++++++++,,,---.........---........................,,,,,,---...///000111222555444222000//////000000222222000///..................////////////..................////////////,,,---------,,,++++++***+++,,,...000000///...---000////////////000000111000000000000////////////222222111000///...------+++******))))))))))))))),,,+++***(((((((((((()))))))))))))))))))))))))))''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&%%%$$$############%%%$$$#########$$$%%%&&&$$$$$$$$$#########""""""$$$$$$#####################$$$$$$%%%%%%$$$$$$### !!!###%%%&&&&&&'''"""""""""""""""######$$$######""""""""""""######&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&$$$$$$%%%&&&&&&&&&%%%$$$$$$######"""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%########################%%%%%%%%%$$$$$$#################################&&&&&&%%%%%%$$$###""""""$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$###""""""########################!!!!!!!!!!!!!!!!!!!!!!!!#########"""""""""""""""######$$$%%%%%%%%%$$$$$$###$$$%%%%%%######$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$$$$##############################$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%%%%%%%&&&''''''&&&%%%%%%$$$$$$$$$$$$'''''''''&&&&&&%%%%%%%%%''''''''''''((((((((((((''''''''''''''''''&&&&&&######$$$$$$$$$$$$######"""###$$$$$$###"""###$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&$$$"""###%%%&&&%%%###%%%%%%%%%&&&&&&&&&&&&'''''''''&&&&&&&&&%%%%%%%%%&&&%%%%%%%%%%%%&&&'''((('''&&&%%%%%%%%%&&&'''''''''&&&&&&&&&&&&&&&&&&'''###$$$%%%%%%&&&(((,,,///999222***%%%&&&((('''&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&''''''''''''(((((())))))******((((((''''''''''''(((((('''((()))******++++++***)))******++++++******)))***++++++,,,,,,++++++***,,,,,,---.........------------------------------,,,,,,---...///000111111444333111000000000000111222111000///...............//////000000//////...............////////////---------------,,,+++++++++,,,...///000///...---............//////000111000/////////////////////222222111000///...------++++++***))))))))))))))),,,+++***)))((((((((()))((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&%%%%%%%%%%%%%%%$$$$$$###$$$$$$$$$$$$$$$#########$$$%%%&&&$$$$$$$$$#########""""""###########################$$$$$$%%%%%%$$$$$$#########$$$$$$$$$######""""""""""""""""""###$$$$$$#########""""""#########&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$######""""""""""""##############################%%%%%%%%%$$$$$$$$$##############################&&&&&&%%%%%%$$$######"""$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$###""""""########################""""""""""""""""""""""""############""""""""""""$$$$$$%%%%%%%%%$$$$$$######$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$##############################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$######$$$%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$%%%%%%%%%%%%&&&&&&%%%&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%%%%%%%&&&''''''&&&%%%%%%$$$$$$$$$%%%''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''######$$$$$$$$$$$$######"""###$$$$$$###"""###$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&%%%%%%%%%%%%%%%$$$######%%%%%%$$$###%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&''''''%%%%%%%%%%%%%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%$$$$$$$$$'''***333...)))&&&'''((('''%%%&&&&&&&&&&&&''''''''''''******((('''&&&%%%%%%%%%((((((((((((((((((((((((((((((''''''''''''(((((('''((()))******++++++***)))******++++++******))))))******++++++*********.........///......------------------------------+++,,,,,,---...///000000111111000000000000111111111111000///............//////000000000000//////---............/////////..................---,,,,,,---.../////////...---,,,,,,,,,---...///000111////////////////////////222222111000///...------++++++***))))))))))))***,,,+++***)))((((((((((((((((((((((((((((((((((((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$######$$$$$$%%%&&&$$$$$$$$$##########################################$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$###"""!!!###""""""""""""###$$$$$$$$$$$$############$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&%%%$$$###$$$&&&"""######$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$######""""""""""""##############################%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$###""""""########################################################################%%%%%%%%%%%%$$$$$$###"""###$$$%%%$$$######$$$%%%##############################$$$$$$$$$$$$##############################$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&'''%%%"""!!!###%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&((('''''''''&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''&&&&&&%%%$$$$$$$$$%%%%%%'''&&&&&&&&&&&&%%%%%%%%%$$$%%%%%%%%%&&&&&&&&&&&&''''''''''''''''''''''''######$$$$$$$$$$$$######"""###$$$$$$###"""###$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%$$$$$$###""""""$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&'''$$$$$$$$$%%%&&&'''((((((&&&&&&''''''''''''&&&&&&((((((((('''%%%$$$&&&'''***(((&&&&&&(((******)))%%%%%%&&&&&&&&&'''''''''+++***)))((('''&&&&&&&&&((((((((((((((((((''''''((((((''''''''''''(((((('''((()))******++++++***))))))************)))))))))******++++++++++++***////////////......---,,,,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,---......//////////////////000000111111111000///...............//////000000000000//////---------.........//////......////////////......------...//////......---+++++++++,,,---...///000.........///////////////111111111000///.........,,,+++******))))))******++++++***))))))(((((((((((((((((((((((((((((((((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$"""###$$$$$$%%%%%%%%%%%%$$$###$$$$$$$$$$$$%%%%%%#######################################$$$$$$$$$###$$$$$$%%%%%%$$$$$$###!!!"""###$$$$$$$$$$$$$$$######""""""######$$$%%%%%%$$$$$$$$$$$$$$$$$$%%%########################$$$$$$$$$$$$$$$$$$$$$$$$###%%%%%%%%%$$$###$$$%%%#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$###""""""########################$$$$$$$$$$$$$$$$$$$$$$$$"""###############$$$$$$&&&&&&&&&%%%$$$###"""!!!"""$$$%%%$$$###"""###$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$##############################$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&(((&&&"""!!!$$$'''###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&))))))((('''&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&'''''''''''''''######$$$$$$$$$$$$######"""###$$$$$$###"""###$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$###"""!!!!!! $$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$$$$%%%&&&&&&######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$###$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%%%%&&&&&&###$$$%%%&&&''''''((((((&&&''''''((((((''''''&&&)))******(((%%%$$$%%%&&&%%%%%%%%%&&&((())))))(((%%%%%%%%%&&&&&&&&&&&&''')))(((((('''''''''((((((((((((((((((''''''''''''((((((''''''''''''(((((('''((()))******++++++***)))))))))******)))))))))******+++,,,------,,,,,,.../////////...---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,------......---......///000000000000000//////...............//////000000000000//////------------..................//////000//////.....................------+++++++++,,,,,,---//////------....../////////000111111000000//////......,,,++++++***************++++++******)))(((((('''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$"""###$$$%%%%%%%%%%%%%%%######$$$$$$%%%%%%%%%%%%########################""""""#########$$$$$$$$$###$$$$$$%%%%%%$$$$$$###!!!"""###$$$$$$$$$$$$$$$###############$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$%%%########################$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%######$$$%%%%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$###""""""########################$$$$$$$$$$$$$$$$$$$$$$$$""""""######$$$$$$$$$%%%&&&&&&&&&%%%$$$###"""!!!"""###$$$$$$""""""###$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$$$$##############################$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&'''&&&$$$###%%%(((#########$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&***)))(((&&&%%%%%%%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&'''''''''&&&&&&&&&'''''''''((((((######$$$$$$$$$$$$######"""###$$$$$$###"""###$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$#########"""!!!!!! $$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!"""###$$$%%%&&&&&&######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$###$$$%%%%%%######$$$%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%''''''&&&%%%%%%%%%&&&&&&$$$$$$%%%&&&''''''''''''&&&'''((())))))((('''&&&'''(((((('''$$$######$$$&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''((())))))''''''''''''''''''''''''((((((''''''''''''(((((('''((()))******++++++***((())))))******))))))(((***+++,,,------------------------...------,,,,,,+++++++++++++++++++++++++++++++++,,,,,,,,,------------...///000000////////////......---......///......////////////......,,,------------.........---.../////////////////////............---------------,,,,,,,,,---......---------......//////000111000000000/////////...,,,,,,+++************+++***+++++++++***)))((('''''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%%%%%%%$$$$$$$$$$$$"""###$$$%%%&&&%%%$$$###"""###$$$%%%%%%%%%%%%$$$###############$$$$$$$$$"""""""""###$$$$$$%%%%%%###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$###"""!!!$$$############$$$%%%%%%$$$$$$############$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%$$$###"""###%%%&&&&&&%%%%%%$$$######"""$$$$$$$$$$$$$$$$$$$$$$$$######""""""""""""#################################$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$###""""""########################$$$$$$$$$$$$$$$$$$$$$$$$""""""######$$$%%%%%%%%%%%%%%%%%%%%%$$$$$$###""""""###$$$###""""""###$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$$$$##############################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&''''''############$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&)))((('''%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&###$$$$$$%%%%%%&&&&&&'''%%%&&&&&&''''''&&&&&&%%%%%%%%%$$$$$$$$$%%%&&&&&&%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&''''''''''''%%%%%%&&&&&&'''(((((((((######$$$$$$$$$$$$######"""###$$$$$$###"""###$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######""""""""""""""""""########################"""######$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""######$$$$$$$$$%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%###$$$&&&%%%###"""$$$&&&###$$$$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%((('''&&&%%%%%%%%%%%%%%%$$$%%%&&&'''''''''&&&%%%&&&'''((())))))((('''&&&$$$&&&'''&&&$$$###$$$$$$%%%&&&&&&%%%$$$###$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''(((%%%&&&&&&''''''(((((((((((((((''''''''''''(((((('''((()))******++++++***(((((())))))))))))(((((())))))+++,,,,,,---------++++++,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,---.../////////...---.........------......///------............------,,,,,,---------.........,,,---...////////////...//////...---------------///......---------------,,,,,,---......///000000000000000000////////////---,,,++++++******++++++******++++++***)))'''&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$######$$$%%%&&&&&&%%%###""""""###$$$%%%%%%%%%$$$$$$""""""#########$$$$$$$$$!!!""""""###$$$$$$%%%%%%###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$######"""$$$$$$######$$$$$$%%%&&&#########""""""#########$$$$$$$$$$$$%%%%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$"""$$$%%%$$$###"""###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######""""""""""""####################################$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$###""""""########################$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$$$$%%%&&&&&&$$$$$$%%%%%%%%%$$$$$$###!!!###$$$###"""!!!"""$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$##############################$$$$$$$$$$$$$$$$$$$$$$$$###  %%%((('''%%%############$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&(((&&&%%%$$$$$$%%%&&&'''$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&######$$$%%%%%%&&&''''''%%%%%%&&&''''''&&&%%%%%%%%%$$$$$$$$$%%%%%%&&&'''%%%%%%%%%&&&&&&&&&''''''$$$%%%%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&'''(((((()))######$$$$$$$$$$$$######"""$$$$$$$$$###"""###$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###############$$$$$$$$$########################""""""###$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#####################$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%&&&"""%%%&&&%%%###"""$$$&&&######$$$$$$$$$%%%%%%%%%#########$$$$$$%%%%%%%%%((('''&&&%%%%%%%%%%%%%%%%%%&&&'''''''''&&&%%%$$$&&&'''(((******((('''&&&$$$&&&((((((&&&%%%&&&&&&"""###$$$$$$###$$$&&&((($$$$$$%%%%%%%%%&&&&&&&&&'''&&&&&&%%%%%%%%%&&&&&&%%%%%%&&&&&&'''((())))))((((((''''''''''''(((((('''((()))******++++++***(((((())))))))))))(((((((((((()))++++++,,,,,,,,,)))***++++++,,,,,,,,,,,,************************++++++++++++++++++,,,,,,------...//////...---,,,......---------......///,,,------------------,,,,,,,,,,,,---------......,,,,,,---...//////......000///...---------------000000///...------------,,,,,,------...///000000000000000000////////////---,,,++++++******++++++******++++++***)))'''&&&''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######$$$$$$&&&&&&&&&$$$"""!!!"""###$$$%%%&&&%%%$$$$$$""""""######$$$$$$$$$$$$!!!""""""###$$$$$$%%%%%%$$$$$$$$$%%%%%%$$$$$$$$$ !!!###%%%&&&&&&'''$$$$$$######$$$$$$%%%&&&######""""""""""""######$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$"""$$$$$$$$$###"""###$$$#########$$$$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%#################################$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$###""""""################################################""""""###$$$%%%%%%&&&&&&######$$$%%%%%%%%%$$$$$$!!!###$$$###"""!!!"""#################################$$$$$$$$$$$$##############################$$$$$$$$$$$$$$$$$$$$$$$$!!!$$$((('''###"""############$$$$$$$$$#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%$$$######$$$&&&'''$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&######$$$%%%%%%&&&''''''%%%%%%&&&''''''&&&%%%%%%$$$$$$$$$$$$%%%%%%&&&'''%%%%%%%%%&&&&&&'''''''''######$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&'''((())))))################################################"""############$$$$$$$$$$$$$$$######""""""!!!!!!$$$$$$############$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&&&&%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&%%%$$$$$$######"""######$$$$$$$$$%%%%%%%%%######$$$%%%%%%%%%%%%$$$%%%%%%%%%%%%$$$$$$###"""######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###%%%%%%%%%&&&&&&&&&''''''''''''((((((((((((''''''%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''&&&&&&%%%$$$%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((()))((('''&&&%%%&&&&&&'''''''''''''''''''''''''''***)))(((((((((((()))))))))************+++++++++++++++******++++++,,,---,,,++++++******++++++,,,++++++,,,,,,,,,,,,------......---,,,,,,,,,,,,---////////////............---....../////////////////////////////////......---------......000111111111111///...------------.........------.........------............------//////.........---------)))))))))))))))*********'''((()))))))))(((&&&%%%###$$$$$$%%%&&&'''(((((('''''''''&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$###"""!!!###$$$$$$######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$''''''%%%""" """########################$$$$$$%%%%%%%%%%%%&&&&&&%%%$$$$$$###"""""""""###%%%%%%%%%%%%%%%%%%%%%%%%%%%###(((&&&"""$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###%%%%%%$$$######$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%$$$$$$############$$$%%%%%%%%%%%%$$$###$$$$$$$$$#########""""""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######""""""###$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&%%%###"""###$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$""""""#########$$$$$$$$$#########$$$$$$%%%%%%%%%%%%&&&'''&&&$$$$$$$$$&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$''''''&&&&&&&&&&&&''''''################################################"""############$$$$$$$$$#########"""""""""""""""%%%$$$$$$######$$$$$$%%%########################$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$$$$$$$$$$###&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$%%%######$$$$$$$$$%%%%%%%%%######$$$%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%$$$############$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%&&&&&&&&&&&&''''''((((((((((((''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%''''''&&&%%%&&&'''((()))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((()))((('''&&&%%%&&&&&&'''''''''''''''''''''''''''))))))(((((((((((())))))))))))*********+++++++++++++++******++++++,,,---,,,++++++******++++++,,,++++++,,,,,,,,,,,,------//////...------------...////////////.........---------...///////////////........................------------...///000111111111000///...............------,,,,,,------...------............------.........---------,,,,,,************************((((((((((((((('''&&&&&&$$$%%%%%%&&&&&&'''''''''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!!!!!!!!!!!!!!!!!!!########################$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$###""""""!!!###$$$$$$######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$######"""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###""" !!!###&&&########################$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%$$$###############%%%%%%%%%%%%%%%%%%%%%%%%(((######&&&$$$!!!$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$###""""""###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%$$$$$$$$$######$$$%%%&&&&&&&&&&&&%%%$$$$$$$$$$$$#########""""""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$##################$$$%%%%%%&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&%%%###"""###$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$%%%%%%###%%%&&&%%%$$$###%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&%%%%%%%%%%%%&&&&&&""""""""""""""""""""""""########################"""############$$$$$$$$$""""""""""""############%%%$$$$$$######$$$$$$%%%################################################""""""###$$$$$$$$$$$$###%%%%%%$$$$$$$$$$$$%%%%%%"""######$$$%%%%%%&&&&&&######$$$$$$$$$%%%%%%%%%######$$$%%%%%%%%%%%%$$$######$$$%%%%%%%%%$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$%%%%%%%%%%%%''''''((((((((((((''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%'''''''''&&&'''(((((()))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((((((((('''&&&&&&&&&&&&'''''''''''''''''''''''''''((((((((((((((())))))))))))))))))*********+++++++++************+++,,,,,,,,,++++++******++++++,,,++++++,,,,,,,,,,,,------000//////...............//////.........---------------...////////////...------------------------,,,,,,,,,,,,---...//////111111000000//////......---,,,,,,++++++,,,,,,---------............---------------,,,,,,,,,++++++++++++++++++************)))(((''''''&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$#########""""""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!"""#########""""""!!!###$$$$$$######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$###""""""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###""""""$$$&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%)))&&&###"""#########"""$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$#########"""!!!!!!"""######$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$###%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$###############$$$$$$$$$$$$$$$$$$$$$$$$$$$############"""""""""$$$$$$%%%%%%&&&'''''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&%%%#########$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$!!!###$$$$$$######%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%!!!!!!!!!!!!!!!!!!!!!!!!########################""""""#########$$$$$$$$$!!!!!!""""""######$$$$$$$$$######""""""######$$$########################""""""""""""""""""""""""$$$$$$%%%&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%%%%#########$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%######$$$%%%%%%%%%%%%$$$"""###$$$$$$%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%&&&''''''((((((''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&'''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((''''''''''''&&&&&&'''''''''''''''''''''''''''''''''(((((()))))))))))))))))))))))))))***************************++++++,,,,,,++++++******++++++,,,+++++++++,,,,,,,,,------//////...---------------.........---------,,,,,,,,,---......//////......+++,,,,,,,,,,,,,,,------,,,+++++++++,,,,,,---...000111111000000//////...,,,++++++++++++++++++,,,,,,------......------,,,,,,,,,,,,+++++++++******************)))))))))))))))(((&&&%%%%%%&&&'''((('''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######""""""!!!$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!"""###$$$$$$$$$###!!!###$$$$$$######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$###""""""$$$$$$$$$$$$$$$$$$$$$$$$'''''''''%%%"""!!!"""###$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&$$$"""!!!"""###$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$############""""""############$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$###"""""""""""""""""""""$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$###%%%%%%%%%######$$$%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$######### !!!############%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%!!!!!!!!!!!!!!!!!!!!!!!!""""""""""""""""""""""""""""""#########$$$$$$$$$!!!!!!""""""######$$$$$$""""""!!!!!!!!!!!!""""""########################""""""""""""""""""""""""$$$$$$%%%&&&&&&&&&&&&%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%$$$$$$$$$############$$$$$$$$$%%%%%%%%%######$$$%%%%%%%%%%%%$$$"""###$$$$$$%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((&&&&&&''''''''''''''''''''''''''''''''''''''''''&&&'''((()))***)))))))))(((((()))))))))***************))))))******+++,,,,,,++++++******++++++,,,+++++++++,,,,,,,,,------...---,,,,,,++++++,,,,,,------------,,,,,,,,,,,,,,,------...............++++++++++++,,,,,,------,,,++++++++++++,,,------///000000000000//////...+++++++++******+++++++++,,,,,,------------,,,,,,,,,,,,+++++++++*********)))((((((((('''''''''&&&((('''&&&%%%%%%&&&'''((('''''''''&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######""""""$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""""""""""""""########################$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$%%%%%%%%%%%%!!!###$$$$$$######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$"""######$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$&&&''''''%%%###""""""###$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$"""$$$%%%###!!!!!!"""$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$##################$$$########################$$$$$$$$$$$$$$$$$$$$$$$$"""""""""""""""""""""##################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%######$$$%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$######### !!!############%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&"""""""""""""""""""""""""""""""""""""""""""""""""""############$$$$$$$$$""""""""""""############"""""""""!!!!!!"""""""""################################################""""""###$$$$$$$$$$$$###$$$$$$############$$$$$$&&&&&&%%%%%%$$$######"""######$$$$$$$$$%%%%%%%%%######$$$%%%%%%%%%%%%$$$######$$$%%%%%%%%%$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''######$$$%%%%%%%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((%%%&&&''''''((('''''''''''''''''''''''''''''''''&&&'''(((*********))))))((((((((()))))))))*********))))))))))))***++++++,,,++++++******++++++,,,++++++,,,,,,,,,,,,---------,,,,,,+++++++++++++++------,,,,,,,,,+++++++++,,,,,,---............---***++++++,,,,,,------...,,,,,,,,,++++++,,,,,,------...///000000///...---,,,++++++******++++++,,,,,,,,,------------,,,,,,,,,,,,,,,+++++++++******((((((''''''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&'''((('''''''''&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$################################################$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%%%%%%%$$$!!!###$$$$$$######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!###$$$$$$######%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%############$$$$$$$$$$$$%%%$$$$$$$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$ """#########"""$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$%%%%%%%%%%%%$$$$$$#########$$$$$$%%%%%%&&&%%%$$$$$$######$$$$$$%%%###$$$$$$$$$$$$%%%%%%%%%######""""""""""""#####################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""""""""############$$$"""""""""###############$$$$$$$$$$$$$$$$$$$$$$$$"""$$$%%%%%%$$$###$$$&&&######$$$$$$$$$%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$!!!###$$$$$$######%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&######$$$$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&########################"""""""""""""""""""""""""""############$$$$$$$$$#########"""""""""""""""$$$$$$############$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$$$$$$$$$$###$$$$$$############$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%######$$$%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%$$$############$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""######$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%&&&###$$$%%%&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((%%%%%%'''(((((((((''''''''''''''''''''''''''''''%%%&&&(((***+++***))))))(((((((((((()))))))))***)))))))))))))))***++++++,,,++++++******++++++,,,++++++,,,,,,,,,,,,------------,,,++++++++++++,,,,,,,,,,,,,,,+++++++++++++++,,,------......------+++++++++,,,---.........------,,,,,,,,,,,,------,,,---...//////...---,,,,,,,,,++++++++++++,,,,,,+++,,,,,,------,,,,,,+++---,,,,,,,,,++++++++++++)))(((((('''&&&&&&%%%%%%$$$%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&''''''######$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$######"""!!!###$$$$$$######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$!!!###$$$######$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%############$$$$$$$$$$$$###############$$$%%%%%%#################################$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###"""###$$$%%%%%%$$$###""""""######$$$%%%%%%&&&&&&%%%$$$$$$######$$$$$$%%%######$$$$$$$$$%%%%%%%%%$$$$$$###""""""###$$$$$$""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$"""$$$%%%%%%$$$###%%%&&&######$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$%%%%%%###%%%&&&%%%$$$###%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&######$$$$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%########################"""""""""""""""""""""""""""############$$$$$$$$$$$$$$$######""""""!!!!!!&&&%%%%%%$$$$$$%%%%%%&&&########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&&&&%%%$$$$$$############$$$$$$#########$$$$$$%%%&&&&&&######$$$$$$$$$%%%%%%%%%######$$$%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%$$$###"""######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%$$$%%%&&&'''''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((($$$%%%'''(((((((((''''''''''''''''''''''''''''''$$$&&&(((***++++++))))))(((((((((((()))))))))))))))))))))))))))******+++,,,++++++++++++++++++,,,++++++,,,,,,,,,---------......---,,,,,,,,,,,,---,,,,,,,,,+++++++++******+++,,,------......------++++++,,,------...//////......---,,,,,,---------***,,,---//////...,,,+++---,,,,,,++++++,,,,,,---+++,,,,,,------,,,,,,+++---------,,,,,,,,,++++++***))))))(((''''''&&&&&&###$$$&&&'''((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''#########$$$$$$%%%%%%%%%###$$$%%%%%%''''''((()))$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""""""""""""""########################$$$$$$$$$$$$$$$$$$$$$$$$###############"""!!! !!!###$$$$$$######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&''''''''''''$$$$$$$$$$$$$$$$$$$$$$$$"""###%%%$$$"""!!!!!!!!!%%%%%%%%%%%%%%%%%%%%%%%%"""############$$$$$$$$$###"""""""""###$$$$$$%%%########################&&&%%%$$$%%%''''''%%%###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$!!!"""###$$$$$$###"""!!!""""""###$$$%%%%%%&&&&&&%%%$$$$$$$$$$$$$$$$$$%%%#########$$$$$$%%%%%%%%%&&&%%%$$$######$$$%%%&&&""""""######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###%%%%%%$$$$$$%%%&&&######$$$$$$$$$%%%%%%%%%#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""#########$$$$$$$$$#########$$$$$$%%%%%%&&&%%%&&&'''&&&$$$$$$$$$&&&$$$$$$%%%%%%%%%&&&&&&&&&######$$$$$$$$$$$$######&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$############$$$$$$""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""$$$$$$$$$############"""$$$###"""""""""###%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$#########""""""!!!!!!######$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$######$$$''')))(((%%%###$$$&&&########################$$$$$$$$$$$$$$$$$$$$$$$$"""""""""###$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$,,,***&&&###!!!!!!###$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""######$$$$$$%%%&&&&&&###$$$$$$%%%%%%&&&&&&'''!!!!!!"""###$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''((('''&&&%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''(((%%%%%%%%%&&&'''((())))))(((((((((((((((((((((((((((((('''&&&&&&&&&&&&&&&************)))))))))))))))*********++++++++++++************************************************+++,,,---------,,,+++***---+++***+++,,,------,,,,,,,,,,,,---------......//////...---,,,,,,,,,,,,,,,,,,+++*********++++++////////////////////////....../////////---,,,+++,,,,,,,,,+++++++++******+++++++++************)))'''''''''(((((((((((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''&&&%%%$$$&&&((('''&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""###$$$$$$###"""################################################&&&%%%%%%$$$#########$$$&&&%%%%%%%%%%%%%%%%%%&&&(((%%%"""!!!"""""" ##############################""""""######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########"""""" !!!!!!"""###$$$%%%%%%&&&$$$###"""###%%%&&&%%%$$$""""""""""""""""""""""""$$$$$$$$$$$$$$$$$$$$$$$$"""############$$$$$$$$$#########"""""""""!!!!!!!!!###$$$$$$######$$$%%%#################################"""""""""""""""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######""""""""""""######""""""#########$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""!!!!!!"""###$$$########################%%%%%%%%%%%%%%%$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%###""""""###%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%""""""""""""""""""""""""""""""""""""""""""""""""##################""""""#########""""""""""""!!!$$$###"""""""""###$$$%%%!!!!!!!!!!!!!!!!!!!!!!!!$$$$$$$$$$$$#########"""######$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$######%%%&&&''''''%%%$$$$$$%%%###############################################################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$((('''%%%#########%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''&&&&&&%%%$$$$$$$$$$$$$$$&&&&&&&&&&&&''''''''''''%%%%%%&&&&&&''''''(((((('''''''''''''''''''''''')))(((((('''&&&&&&''''''(((((())))))*********+++)))))))))*********++++++************************************************+++,,,------------++++++,,,+++******,,,......---,,,,,,,,,---------......//////...---,,,,,,,,,,,,,,,,,,+++++++++,,,,,,---........................------//////000///...---,,,,,,,,,++++++++++++***+++++++++************)))((((((((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&'''&&&%%%$$$&&&((('''&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""###$$$$$$###"""################################################&&&%%%$$$$$$#########$$$"""!!!!!! !!!!!!"""'''%%%######%%%%%%$$$"""##############################""""""######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############"""!!! """""""""###$$$$$$%%%%%%$$$###"""###%%%&&&%%%$$$########################$$$$$$$$$$$$$$$$$$$$$$$$"""############$$$$$$$$$%%%%%%%%%$$$$$$$$$######!!!###$$$$$$######$$$%%%####################################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%""""""#########$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""!!!!!!"""###$$$########################%%%%%%%%%%%%%%%$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%###""""""###%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%""""""""""""""""""""""""""""""""""""""""""""""""%%%%%%$$$$$$#########"""###""""""""""""!!!!!!!!!######""""""######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$######&&&%%%%%%%%%&&&&&&$$$###########################""""""""""""""""""""""""$$$$$$$$$###############$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$''''''&&&%%%%%%$$$######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%&&&&&&'''%%%%%%$$$#########$$$$$$&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&))))))((((((''''''((((((''''''((()))***+++,,,,,,((((((((()))))))))******************************************************+++,,,---......---,,,+++,,,***)))***,,,.........,,,,,,,,,---------......///......---,,,,,,++++++,,,+++++++++,,,---..............................,,,---...000111111000000,,,,,,,,,,,,+++++++++++++++++++++************)))))))))((((((''''''&&&&&&''''''''''''''''''''''''%%%&&&'''&&&%%%$$$&&&(((&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""###$$$$$$###"""########################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$############$$$######""""""""""""######$$$###"""###%%%&&&&&&%%%##############################""""""######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######"""!!!########################$$$###"""###%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""############$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$!!!###$$$$$$######$$$%%%#################################$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%###############$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###""""""""""""###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$######$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&%%%$$$######$$$%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%""""""""""""""""""""""""""""""""""""""""""""""""&&&&&&%%%%%%$$$#####################""""""""""""###############$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$######&&&$$$"""$$$&&&'''$$$!!!########################"""""""""###############%%%$$$$$$$$$###"""""""""########################!!!"""$$$%%%&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&%%%$$$$$$######&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$######"""""""""%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&))))))(((((((((((())))))'''(((((()))******++++++(((((((((((())))))))))))************************************************+++,,,---.........---,,,+++***)))***---...///...,,,,,,,,,---------..................---,,,+++++++++++++++,,,---...///000........................---...000111111111000///------,,,,,,,,,++++++++++++++++++*********))))))******)))((('''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&'''&&&%%%$$$&&&(((&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""###$$$$$$###"""########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###############$$$%%%%%%$$$$$$$$$$$$%%%%%%!!!!!!!!!"""###$$$####################################""""""######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""#########$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$###"""$$$$$$$$$#########""""""$$$""""""###$$$%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""#########$$$$$$$$$""""""""""""""""""""""""!!!###$$$$$$######$$$%%%########################""""""######$$$%%%&&&&&&########################$$$$$$$$$$$$$$$$$$$$$$$$######""""""""""""##############################%%%%%%%%%$$$$$$$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%$$$$$$######$$$$$$%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%""""""""""""""""""""""""""""""""""""""""""""""""%%%%%%%%%$$$$$$$$$######%%%%%%$$$$$$$$$$$$######""""""######$$$$$$$$$$$$""""""""""""""""""""""""""""""########################$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$######%%%###!!!###&&&'''$$$!!!#################################$$$$$$$$$%%%%%%%%%$$$$$$$$$###"""""""""########################"""###$$$&&&&&&%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$(((''''''&&&%%%$$$######$$$$$$$$$%%%%%%&&&&&&&&&%%%$$$$$$######"""""""""%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&))))))(((((((((((())))))******))))))))))))))))))(((((((((((())))))))))))))))))))))))))))))))))))************************+++,,,---...///...------,,,***)))***,,,.........,,,,,,,,,---------..................---,,,+++***+++++++++,,,---...///000........................///000111111111000...------------,,,,,,,,,+++++++++++++++*********))))))******)))((('''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''&&&%%%$$$&&&(((%%%%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""###$$$$$$###"""########################$$$$$$$$$$$$$$$$$$$$$$$$#########""""""###$$$$$$###""""""""""""""""""###!!!"""#########"""""""""##############################""""""######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""#########$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$###%%%%%%$$$$$$###"""""""""###"""!!!"""$$$%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""#########$$$$$$$$$""""""""""""""""""""""""!!!###$$$$$$######$$$%%%######################## !!!!!!"""###$$$%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$######""""""""""""##############################$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%""""""""""""""""""""""""""""""""""""""""""""""""$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%$$$$$$$$$""""""###$$$$$$$$$$$$###########################"""""""""""""""###############$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$#########""""""###%%%%%%$$$"""#################################$$$%%%%%%&&&&&&$$$$$$$$$##########################################$$$%%%%%%%%%$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$(((''''''&&&%%%$$$$$$#########$$$%%%%%%&&&''''''&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%&&&&&&''''''%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((((((''''''(((((())))))************))))))((((((((((((((()))))))))******))))))))))))))))))))))))************************+++,,,---...//////......---+++***+++,,,------,,,,,,,,,,,,---------......---......///...,,,+++***,,,+++++++++,,,---......------------------------000000111111000...---,,,------------,,,,,,,,,,,,+++++++++************)))))))))((((((''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''&&&%%%$$$&&&(((%%%%%%$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""###$$$$$$###"""########################%%%%%%%%%%%%%%%%%%%%%%%%###""""""""""""###$$$$$$%%%$$$$$$######$$$$$$%%%!!!$$$&&&&&&%%%$$$$$$$$$##############################""""""######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""############$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$###%%%$$$$$$$$$######""""""###"""!!!"""$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""############$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%!!!###$$$$$$######$$$%%%########################!!!!!!!!!"""#########$$$########################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$###########################$$$$$$$$$%%%##############################$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%$$$######%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%&&&&&&'''$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%""""""""""""""""""""""""""""""""""""""""""""""""!!!""""""######$$$$$$$$$%%%%%%%%%$$$$$$$$$######!!!"""###$$$%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%"""""""""######$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$###### """###$$$###"""###$$$########################"""""""""###$$$%%%%%%%%%###############$$$$$$$$$##############################$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%########################''''''&&&&&&%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&'''$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&'''''''''''''''''''''''''''''''''&&&&&&'''(((((())))))))))))))))))*********)))))))))*********++++++))))))))))))))))))))))))***************************+++---////////////......---++++++,,,---,,,+++,,,,,,,,,---------......---...//////...---+++))),,,,,,+++++++++,,,,,,------------------------------...///000//////------...------------,,,,,,,,,+++++++++************)))((((((((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&'''&&&%%%$$$&&&(((%%%$$$$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""###$$$$$$###"""########################%%%%%%%%%%%%%%%%%%%%%%%%"""""""""""""""###$$$$$$&&&&&&%%%%%%%%%%%%&&&&&&"""%%%'''&&&%%%%%%'''##############################""""""######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""############$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$######$$$$$$$$$##################"""!!!"""###$$$###"""########################$$$$$$$$$$$$$$$$$$$$$$$$"""############$$$$$$$$$######$$$$$$$$$%%%%%%%%%!!!###$$$$$$######$$$%%%########################################################################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$#########""""""!!!!!!"""###$$$%%%%%%&&&##############################$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%&&&''''''$$$$$$############$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%"""""""""""""""""""""""""""""""""""""""""""""""" !!!"""###$$$$$$%%%$$$$$$$$$############"""!!!"""###$$$%%%$$$######""""""""""""""""""""""""#########$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$######"""$$$$$$"""!!!###%%%######################## !!!!!!"""###$$$$$$$$$""""""######$$$$$$$$$%%%"""""""""""""""""""""""""""""""""######$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%&&&########################''''''&&&&&&&&&%%%%%%%%%'''&&&&&&%%%%%%$$$$$$###########################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$#########$$$%%%%%%&&&$$$$$$%%%%%%%%%&&&&&&&&&######$$$%%%%%%&&&''''''((((((((((((((((((((((((&&&&&&&&&&&&&&&'''((()))''''''((()))***+++,,,,,,************++++++++++++))))))))))))))))))))))))***************************+++---//////////////////---,,,+++,,,,,,+++***,,,,,,,,,---------......---.../////////---+++))),,,,,,+++******+++++++++------------------------+++,,,---////////////.........---------,,,,,,,,,+++++++++************)))'''''''''(((((((((((((((''''''''''''''''''''''''&&&&&&'''&&&%%%$$$&&&((($$$$$$$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""###$$$$$$$$$"""########################%%%%%%%%%%%%%%%%%%%%%%%%""""""!!!""""""###$$$$$$""""""!!!!!!!!!!!!"""""""""%%%$$$$$$%%%'''#################################"""###$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""############$$$$$$$$$""""""""""""""""""""""""$$$$$$$$$$$$$$$$$$$$$$$$"""######$$$$$$$$$#################################!!!!!!"""###$$$###"""""""""""""""""""""""""""$$$$$$$$$$$$$$$$$$$$$$$$"""############$$$$$$$$$!!!!!!""""""############!!!###$$$$$$######$$$%%%########################%%%%%%$$$$$$$$$$$$$$$$$$""""""""""""""""""""""""$$$$$$$$$$$$$$$$$$$$$$$$######""""""""""""######$$$$$$$$$$$$######"""""" !!!###$$$%%%&&&'''""""""""""""""""""""""""######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%&&&&&&%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%&&&''''''$$$$$$############$$$$$$###$$$$$$%%%%%%$$$$$$###&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%!!!!!!"""###############!!!!!!""""""#########$$$######""""""!!!""""""###"""############$$$$$$$$$$$$$$$##################&&&$$$"""!!! !!!"""######"""!!! !!!"""######$$$$$$$$$$$$###""""""&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""############$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%"""###%%%&&&&&&%%%###"""######$$$$$$$$$######"""$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!!!!!!!""""""""""""&&&$$$""""""$$$%%%### ######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$###"""%%%%%%%%%%%%%%%$$$###"""#########$$$$$$%%%%%%%%%#########$$$$$$%%%%%%%%%&&&%%%###"""!!!"""############$$$$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&+++(((%%%%%%'''))))))''''''&&&&&&&&&&&&'''((((((((((((((()))******++++++---------,,,,,,+++++++++)))************+++++++++++++++,,,,,,,,,---------,,,,,,,,,---------------///...---,,,+++,,,,,,---111111000000//////......+++---///111111///---+++---,,,***))))))***,,,---......,,,++++++,,,---............---,,,+++***)))------,,,+++************,,,,,,,,,,,,,,,+++***)))(((((())))))((('''&&&&&&'''''''''&&&&&&%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$####################################$$$%%%&&&'''######""""""######$$$%%%%%%$$$$$$######$$$$$$%%%$$$$$$###"""!!! ########################"""!!! !!!###$$$$$$###$$$######""""""######$$$%%%%%%$$$$$$%%%%%%&&&'''$$$&&&''''''%%%$$$$$$%%%&&&%%%###"""""""""######""""""#########$$$$$$$$$$$$$$$######""""""!!!!!!###$$$$$$$$$%%%%%%%%%%%%""""""""""""""""""""""""$$$$$$$$$############"""$$$###"""###%%%%%%###"""###$$$$$$"""  !!!########################$$$$$$$$$#########""""""%%%$$$###$$$%%%&&&$$$"""!!!""""""!!!!!!"""###$$$###"""""""""###%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$###""""""$$$$$$############$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########""""""""""""""""""""""""$$$$$$$$$#########""""""######""""""###$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########"""############$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%!!!!!!"""###############!!!"""""""""#####################"""""""""######"""############$$$$$$$$$########################%%%$$$"""!!!!!!!!!###$$$###"""!!!!!!!!!!!!"""###!!!"""###$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!!!!"""""""""######%%%%%%%%%%%%%%%%%%%%%%%%"""###%%%&&&&&&%%%###"""######$$$$$$$$$######"""$$$$$$$$$$$$$$$$$$$$$$$$"""""""""############$$$%%%###""""""$$$%%%###!!!######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$###"""%%%%%%%%%%%%%%%$$$###"""$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$#####################$$$$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&***(((%%%%%%''')))((('''&&&&&&&&&&&&&&&'''((((((((((((((()))******++++++------,,,,,,,,,+++++++++)))************+++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,------......///000///---,,,,,,,,,------/////////...............)))***,,,------,,,***)))---,,,+++))))))+++,,,---...---,,,++++++,,,------------------,,,++++++***...---,,,+++***)))))))))+++++++++++++++***))))))((((((((((((((('''&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################""""""!!!!!! !!!!!!!!!""""""#########$$$$$$$$$%%%$$$$$$######$$$$$$%%%######"""""""""""""""!!!###########################"""!!!"""###$$$###"""$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&$$$&&&''''''%%%$$$$$$%%%%%%%%%###"""""""""########################$$$$$$############"""""""""""" !!!!!!!!!""""""""""""########################$$$$$$$$$############"""$$$###"""###%%%%%%###""""""#########!!!!!!###$$$########################$$$$$$$$$#########""""""######"""###$$$%%%###!!!###%%%''''''&&&%%%&&&'''$$$###"""""""""###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######"""""""""""""""!!! $$$$$$############$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$##############################$$$$$$$$$#########""""""##################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$##################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%!!!!!!"""###############""""""""""""#################################$$$"""############$$$$$$$$$########################$$$###"""!!!!!!"""$$$%%%###""""""!!!!!!""""""### !!!"""$$$%%%%%%&&&&&&%%%$$$$$$$$$$$$#################################""""""""""""#########$$$%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%%%%$$$###""""""######$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$%%%%%%$$$###""""""$$$%%%$$$#########$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%$$$######$$$$$$%%%%%%%%%$$$######%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&)))'''&&&&&&'''(((((('''&&&&&&&&&&&&&&&''''''((('''(((((())))))******+++,,,,,,,,,,,,++++++++++++)))************+++++++++*********++++++++++++,,,,,,,,,------...///000000000///......------......---------------.........------..................---,,,+++******+++,,,---------,,,,,,,,,,,,---...,,,,,,,,,------,,,++++++......,,,+++))))))(((((())))))*********)))(((((('''(((((((((((('''&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###########################"""!!! !!!"""###$$$%%%$$$######%%%$$$$$$######$$$$$$%%%"""""""""######$$$$$$$$$########################$$$###""""""###$$$###!!!%%%%%%$$$$$$$$$$$$%%%%%%$$$############$$$%%%%%%$$$&&&''''''%%%$$$$$$%%%%%%$$$######"""#########$$$$$$##################"""""""""###########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############"""$$$###"""###%%%%%%###""" """###$$$######%%%'''########################$$$$$$$$$##################"""!!!"""$$$$$$"""!!! """$$$$$$#########$$$######""""""######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###"""""""""###""""""!!! $$$$$$############$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###############$$$$$$$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###############$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%!!!!!!"""###############"""""""""""""""##################$$$$$$$$$$$$$$$""""""#########$$$$$$$$$###############$$$$$$$$$###""""""""""""###%%%%%%""""""""""""""""""""""""!!!"""###$$$%%%%%%%%%%%%$$$$$$$$$#########""""""""""""""""""""""""""""""$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$$$$$$$$$$###"""""""""###$$$$$$$$$##########################################$$$$$$$$$%%%"""""""""###$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$###$$$$$$%%%%%%%%%$$$$$$###%%%%%%%%%$$$$$$#########%%%%%%%%%$$$$$$#########$$$%%%&&&''''''&&&$$$#########$$$$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&&&&''''''''''''&&&&&&%%%%%%&&&&&&'''(((''''''(((((()))*********,,,+++++++++++++++++++++))))))*********+++++++++))))))*********+++++++++,,,,,,---...//////000000////////////......//////,,,,,,------.........///000///.........///000111---,,,++++++++++++,,,---......---.........//////++++++,,,---------,,,,,,......,,,***)))((((((((('''(((((()))(((((('''''''''''''''(((((('''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################%%%$$$###""""""""""""""" """$$$%%%&&&%%%###"""%%%$$$$$$######$$$$$$%%%######$$$$$$$$$%%%%%%%%%########################%%%$$$#########$$$"""!!!%%%%%%%%%%%%%%%%%%%%%%%%######""""""######$$$%%%$$$&&&'''&&&%%%$$$$$$$$$$$$$$$##################$$$$$$$$$###############"""""""""######$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########""""""$$$###"""###%%%%%%###""" """###$$$######$$$%%%###################################################""""""###$$$$$$###!!! !!!  !!!###############$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$###$$$$$$############$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%########################$$$$$$%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%##############################$$$$$$$$$%%%%%%%%%!!!!!!"""#####################""""""""""""""""""!!!"""###$$$$$$$$$$$$###""""""#########$$$$$$$$$""""""#########$$$$$$$$$"""""""""######$$$%%%%%%""""""############""""""$$$$$$%%%%%%%%%$$$$$$###$$$$$$$$$#########""""""""""""""""""""""""""""""$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$########################!!!"""###$$$$$$$$$$$$$$$########################"""""""""#########$$$$$$""""""#########$$$$$$%%%######$$$$$$$$$%%%%%%%%%###$$$$$$%%%%%%%%%$$$$$$###$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$#########%%%%%%%%%$$$$$$############$$$&&&''''''&&&%%%$$$######$$$$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&'''%%%%%%%%%%%%%%%&&&'''''''''''''''((())))))******++++++++++++++++++++++++))))))*********+++++++++))))))*********+++++++++,,,,,,------...//////000......//////////////////---------......//////000---,,,+++***+++,,,...///---,,,,,,,,,,,,,,,,,,---......///000000000000000++++++,,,---------,,,,,,...---+++***)))(((((((((&&&''''''(((((((((''''''&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$#########$$$$$$%%%&&& """$$$%%%&&&%%%###"""%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$########################&&&$$$######$$$$$$###!!!$$$%%%%%%&&&&&&%%%%%%$$$######""""""######$$$%%%$$$&&&'''&&&%%%$$$$$$$$$############$$$#################################""""""######$$$$$$%%%%%%!!!!!!!!!!!!""""""""""""########################$$$$$$$$$#########""""""$$$###"""###%%%%%%###""" """######"""!!!!!!"""################################################$$$######$$$%%%%%%$$$""" """$$$$$$#########$$$""""""######$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$############$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%########################$$$$$$%%%%%%%%%%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%!!!!!!"""###########################"""""""""""" """###$$$$$$###""""""############$$$$$$$$$"""""""""###$$$$$$%%%%%%#########$$$$$$$$$$$$$$$"""######$$$$$$######"""%%%%%%%%%%%%%%%$$$######%%%$$$$$$$$$$$$#################################""""""""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$########################!!!"""###$$$$$$$$$$$$$$$########################"""""""""############$$$"""###$$$$$$###"""$$$%%%######$$$$$$$$$%%%%%%%%%######$$$%%%%%%%%%$$$$$$######$$$%%%%%%%%%$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$&&&((((((&&&%%%&&&'''%%%%%%%%%%%%%%%&&&&&&'''&&&''''''(((((())))))************+++++++++++++++)))************+++++++++*********++++++++++++,,,,,,,,,,,,------------...------.../////////...................../////////...---,,,,,,---...000111,,,,,,------------,,,,,,---...///000111111111000,,,,,,,,,------,,,++++++,,,+++***)))))))))))))))&&&&&&'''(((((((((''''''%%%%%%&&&''''''''''''&&&$$$$$$$$$$$$%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################!!!!!!!!!!!!"""###$$$%%%!!!"""###$$$%%%$$$######%%%$$$$$$######$$$$$$%%%%%%%%%%%%$$$$$$#################################%%%$$$######$$$%%%$$$"""###$$$%%%&&&&&&%%%$$$###$$$############$$$%%%%%%$$$&&&''''''%%%$$$$$$%%%""""""###$$$$$$$$$$$$###""""""#########$$$$$$$$$#########$$$$$$$$$$$$$$$"""""""""#########$$$$$$""""""""""""""""""""""""$$$$$$$$$############"""$$$###"""###%%%%%%###"""!!!###$$$"""!!! !!!#######################################$$$$$$$$$%%%$$$###$$$&&&&&&$$$###"""$$$&&&&&&%%%$$$%%%&&&""""""###$$$$$$$$$$$$##############################$$$$$$$$$$$$%%%%%%%%%!!!"""######$$$#########$$$$$$############$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###############$$$$$$$$$"""###%%%&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%######################################################$$$$$$$$$%%%%%%%%%!!!!!!"""###########################"""""""""!!!!!!#########"""!!!"""############$$$$$$$$$!!!""""""###$$$$$$%%%%%%$$$$$$$$$%%%$$$$$$######"""###$$$$$$$$$$$$###"""$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!!!!"""""""""####################################""""""""""""######!!!!!!"""$$$$$$%%%%%%$$$#################################$$$$$$$$$%%%%%%"""$$$%%%$$$"""!!!"""$$$######$$$$$$$$$%%%%%%%%%"""###$$$%%%%%%%%%%%%$$$"""###$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%###############$$$%%%%%%######$$$$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&###&&&((((((&&&%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&'''&&&&&&''''''((())))))))))))*********++++++++++++)))************+++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++,,,---...///......---.........---------------////////////000111222333,,,------------------,,,+++,,,...///000000//////------------,,,++++++*********))))))))))))******&&&&&&'''((((((((((((((($$$%%%&&&&&&'''''''''&&&######$$$$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################""""""!!!!!!!!!""""""###""""""#########$$$$$$$$$%%%$$$$$$######$$$$$$%%%############$$$$$$$$$$$$########################$$$###"""###%%%&&&%%%$$$"""###$$$&&&&&&$$$###"""$$$$$$$$$$$$$$$%%%&&&&&&$$$&&&''''''%%%$$$$$$%%%!!!"""###$$$%%%$$$$$$###!!!!!!"""###$$$%%%%%%&&&%%%$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%%%%&&&&&&&&&########################$$$$$$$$$############"""$$$###"""###%%%%%%###""" ###$$$$$$###"""###########################""""""#########$$$$$$$$$$$$#########%%%%%%###"""!!!###$$$%%%$$$###$$$%%%!!!"""###$$$%%%$$$$$$#################################$$$$$$$$$%%%%%%%%%!!!"""######$$$$$$$$$###$$$$$$############$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""#########$$$$$$$$$!!!"""$$$&&&''''''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%!!!!!!"""###############$$$#########""""""!!!!!! """######!!!!!!"""############$$$$$$$$$!!!""""""###$$$$$$%%%%%%%%%%%%%%%%%%%%%$$$###""""""###$$$%%%%%%$$$###""""""###$$$%%%&&&'''''''''&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""############$$$$$$$$$##############################""""""""""""######!!!!!!"""$$$$$$%%%%%%%%%""""""""""""""""""""""""$$$$$$%%%%%%%%%&&&&&&&&&###%%%&&&%%%""" """$$$######$$$$$$$$$%%%%%%%%%"""###$$$%%%%%%%%%%%%%%%"""###$$$%%%%%%%%%%%%%%%#########$$$$$$%%%%%%&&&#########$$$$$$%%%%%%&&&######"""!!!"""###%%%&&&######$$$$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&###&&&))))))&&&$$$%%%&&&%%%%%%$$$$$$%%%%%%&&&'''&&&&&&''''''((()))))))))))))))******++++++++++++)))************+++++++++++++++,,,,,,,,,------------,,,,,,++++++******)))***+++---.........---------------,,,,,,++++++++++++,,,,,,---.../////////,,,------......------,,,)))***,,,...//////...---.........---,,,+++***))))))))))))))))))******+++&&&&&&'''((()))))))))((($$$%%%&&&&&&'''''''''&&&#########$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################%%%$$$###""""""!!!!!!"""######""""""######$$$%%%%%%$$$$$$$$$$$$$$$$$$%%% !!!"""###$$$%%%&&&&&&########################$$$###"""###%%%&&&&&&$$$!!!"""$$$%%%%%%$$$"""!!!%%%%%%$$$$$$%%%%%%&&&'''$$$&&&''''''%%%$$$$$$%%%!!!"""###$$$%%%%%%$$$### !!!###$$$%%%&&&'''&&&%%%%%%$$$$$$#########!!!!!!"""""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############"""$$$###"""###%%%%%%###""" ###%%%%%%%%%%%%&&&########################""""""######$$$$$$$$$$$$###"""!!!"""$$$$$$"""!!!###$$$&&&&&&%%%%%%%%%&&&!!!"""###$$$%%%$$$######""""""""""""""""""""""""#########$$$$$$%%%%%%%%%###$$$%%%&&&&&&&&&&&&&&&$$$$$$############$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""######$$$$$$$$$$$$ !!!$$$&&&(((((('''&&&$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%""""""""""""""""""""""""######$$$$$$$$$%%%%%%%%%""""""""""""""""""""""""######""""""""""""###############"""""""""""""""######""""""""""""######!!!!!!!!!!!!"""###$$$%%%!!!!!!""""""######$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%""""""###$$$$$$$$$$$$###!!!""""""######""""""!!!%%%$$$###""""""###$$$%%%######$$$%%%&&&&&&&&&&&&###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%""""""""""""""""""""""""########################$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###%%%$$$$$$######$$$$$$%%%&&&&&&&&&&&&%%%$$$######$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%$$$###"""&&&&&&&&&%%%%%%$$$$$$$$$ $$$&&&'''&&&$$$"""$$$#########$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%'''&&&%%%%%%&&&''')))***))))))))))))************((()))))))))***************++++++,,,,,,++++++***---------,,,,,,+++++++++++++++,,,,,,,,,++++++******++++++,,,,,,++++++***------,,,+++,,,---...///,,,,,,,,,,,,,,,,,,,,,,,,******+++,,,---...//////------,,,++++++******)))+++***)))'''''''''((()))((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%!!!!!!!!!!!!!!!!!!!!!!!!!!!"""###$$$$$$$$$$$$$$$###"""""""""!!!!!! !!!!!!""""""######$$$$$$#########"""""""""""""""$$$###"""!!!"""###%%%'''%%%%%%%%%$$$$$$#########""""""######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###""""""###$$$%%% !!!!!!"""###$$$$$$$$$&&&%%%%%%$$$###"""!!!!!!!!!!!!"""###$$$%%%%%%%%%""""""############""""""########################***(((&&&$$$######$$$$$$####################################""""""!!!!!!!!!!!!"""###$$$%%%%%%%%%######""""""""""""#########%%%&&&%%%###"""""""""$$$$$$############$$$$$$""""""""""""""""""""""""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$##################$$$##################$$$&&&%%%%%%$$$#########$$$$$$$$$############$$$$$$""""""###$$$%%%%%%&&&&&&##############################"""""""""""""""###########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%################################################%%%%%%%%%$$$$$$################################# !!!"""###############""""""""""""""""""""""""######""""""""""""#########"""""""""""""""""""""######""""""""""""######!!!!!!!!!!!!"""###$$$%%%"""""""""""""""#########"""""""""!!!!!!"""""""""######$$$%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&$$$###""""""""""""###$$$######$$$%%%&&&&&&&&&&&&###$$$$$$%%%%%%$$$$$$###########################################################################$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###%%%$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%$$$###"""&&&%%%%%%%%%$$$$$$$$$$$$ """$$$&&&'''&&&%%%$$$$$$$$$######$$$$$$%%%&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&'''((()))((((((((()))))))))******)))*********++++++++++++***++++++,,,,,,++++++***++++++++++++*********)))***++++++,,,,,,++++++******++++++,,,,,,++++++***,,,,,,+++++++++,,,---...,,,,,,,,,,,,,,,,,,,,,,,,------...............///------,,,++++++******)))***))))))(((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%########################""""""###$$$$$$$$$###############"""""""""!!!!!!############$$$$$$$$$$$$""""""""""""############$$$###!!! !!!"""$$$%%%%%%%%%%%%$$$$$$$$$######"""""""""######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$###""""""###$$$$$$!!!!!!!!!"""###$$$$$$$$$(((''''''&&&&&&%%%%%%$$$"""""""""###$$$$$$$$$%%%######$$$$$$$$$$$$##############################&&&&&&%%%%%%%%%$$$###"""########################$$$$$$#########""""""""""""""""""###$$$$$$$$$%%%""""""############"""""""""$$$%%%%%%###!!!!!!!!!$$$$$$############$$$$$$################################################$$$$$$%%%%%%$$$######"""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$########################$$$###"""!!!!!!"""###$$$&&&%%%$$$$$$######$$$$$$$$$$$$############$$$$$$"""######$$$%%%%%%&&&&&&""""""""""""""""""""""""######""""""""""""###############$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$########################%%%%%%%%%$$$$$$$$$##############################"""############""""""!!!""""""""""""""""""""""""######""""""""""""######""""""""""""""""""############""""""""""""######!!!!!!!!!!!!"""###$$$%%%############"""""""""""""""!!!!!! !!!!!!"""$$$$$$%%%&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%$$$$$$$$$######""""""""""""############$$$%%%&&&&&&&&&&&&###$$$$$$%%%%%%$$$$$$###########################$$$$$$$$$$$$$$$$$$$$$$$$###################################################$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&'''&&&&&&&&&######$$$$$$$$$$$$######$$$$$$%%%%%%%%%$$$######$$$$$$$$$$$$$$$############$$$%%%&&&&&&&&&&&&&&&$$$$$$######$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&&&&&&&$$$%%%&&&'''((((((((((((''''''((((((((()))))))))*********+++++++++,,,,,,******++++++++++++******)))))))))))))))(((((((((******+++++++++++++++*********++++++++++++******+++************+++,,,,,,,,,,,,,,,,,,------------///.........------,,,,,,------,,,++++++******)))(((((()))))))))(((''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$######"""$$$$$$$$$############"""%%%%%%%%%$$$$$$$$$$$$$$$!!!"""""""""###$$$$$$$$$$$$###!!! !!!"""###%%%%%%%%%$$$$$$$$$$$$###"""""""""""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###""""""###$$$$$$!!!!!!""""""###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$##################$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$########################!!!###$$$&&&&&&$$$"""!!!$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###########################$$$$$$""""""###$$$$$$###"""""" ###%%%$$$#########$$$$$$############$$$$$$########################""""""""""""""""""""""""######$$$$$$######""""""$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$########################$$$###!!! !!!###$$$%%%%%%$$$$$$######$$$$$$$$$$$$############$$$$$$#########$$$$$$%%%%%%&&&""""""""""""""""""""""""######"""""""""######$$$"""###$$$%%%%%%$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###########################$$$$$$$$$$$$###"""!!! """"""""""""""""""""""""######""""""""""""######"""""""""""""""###############""""""""""""######""""""!!!!!!"""###$$$$$$$$$$$$######""""""!!!!!!######""""""""""""#########$$$$$$%%%&&&%%%%%%%%%######""""""""""""######""""""""""""""""""""""""######$$$%%%&&&&&&&&&&&&###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################""""""""""""""""""""""""###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&'''''''''''''''"""######$$$$$$######"""$$$$$$%%%%%%%%%$$$$$$###########################$$$$$$$$$$$$$$$%%%&&&&&&%%%$$$$$$###$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&'''&&&&&&&&&$$$%%%&&&((()))(((((('''''''''''''''(((((((((((())))))*********+++++++++******++++++++++++******))))))))))))))))))(((((()))******++++++++++++*********++++++++++++******))))))))))))*********+++,,,,,,,,,,,,---------------,,,,,,,,,,,,+++++++++------,,,++++++******)))'''''')))))))))((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&''''''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$###"""!!!$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$######"""!!!!!!"""###$$$$$$%%%%%%%%%$$$###"""!!!!!!""""""$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""""""""""""""########################$$$##################$$$"""""""""######$$$$$$$$$!!!"""""""""#########$$$$$$$$$$$$##################$$$$$$$$$$$$$$$$$$########################### !!!"""###$$$$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###############!!!"""$$$%%%%%%$$$"""!!!!!!$$$%%%%%%&&&&&&$$$$$$############$$$$$$################################################""""""#########""""""!!!$$$$$$$$$$$$$$$$$$$$$$$$""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###############$$$$$$$$$%%%###!!! !!!###%%%%%%%%%$$$$$$###$$$$$$%%%%%%$$$$$$######$$$$$$%%%#########$$$$$$%%%%%%%%%""""""""""""""""""""""""######""""""######$$$$$$!!!###$$$%%%%%%$$$###!!!$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&%%%$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$###""""""""""""""""""""""""""""""######""""""""""""######!!!!!!""""""##################""""""""""""######""""""""""""""""""###$$$$$$$$$######""""""!!!!!!######""""""""""""######"""######$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%""""""############""""""######$$$%%%&&&&&&&&&&&&###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################""""""""""""""""""""""""###$$$$$$%%%%%%$$$$$$######$$$$$$%%%%%%$$$$$$###$$$$$$%%%&&&''''''''''''"""######$$$$$$######"""###$$$$$$%%%%%%%%%$$$$$$########################$$$######"""######%%%%%%%%%%%%$$$$$$###$$$$$$%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''''''''&&&&&&$$$%%%&&&((()))(((((('''''''''''''''(((((((((((((((((((((((()))))))))))))))******++++++******)))************************((()))******++++++++++++)))******++++++******)))(((((()))))))))*********+++++++++,,,,,,,,,------+++,,,,,,,,,,,,---------------,,,++++++******)))&&&'''((())))))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$###"""!!!$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$######"""""""""!!!!!!""""""###$$$%%%%%%&&&&&&%%%%%%$$$############$$$$$$$$$$$$$$$$$$$$$$$$#########"""""""""""""""#################################$$$$$$#####################$$$$$$$$$$$$$$$$$$%%%%%%&&&'''''''''$$$$$$$$$###############""""""############""""""########################"""!!!!!! !!!"""$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###############!!!###$$$&&&&&&$$$###!!!###$$$$$$$$$$$$%%%$$$$$$############$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$!!!""""""#########""""""$$$$$$$$$$$$$$$$$$$$$$$$""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""#########$$$$$$$$$&&&%%%###""""""###%%%&&&%%%$$$$$$###$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%###$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###############$$$%%%%%%"""###$$$$$$$$$$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$###"""!!!!!!$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################!!!!!!"""$$$$$$%%%%%%%%%""""""""""""""""""""""""######""""""""""""######!!!!!!!!!"""######$$$$$$######""""""""""""#########"""""""""""""""##################"""""""""""""""!!!!!! !!!!!!"""""""""###$$$$$$$$$$$$###$$$###"""!!!!!!"""###$$$######$$$$$$$$$$$$############$$$%%%&&&&&&&&&&&&###$$$$$$%%%%%%$$$$$$###""""""""""""""""""""""""$$$$$$$$$$$$$$$$$$$$$$$$###################################################$$$$$$%%%%%%$$$$$$######$$$%%%&&&&&&%%%$$$###$$$$$$%%%%%%&&&%%%%%%%%%######$$$$$$$$$$$$############$$$%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$######""""""###$$$$$$%%%%%%$$$$$$######$$$$$$%%%%%%%%%&&&&&&&&&''''''$$$%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''''''''''''''$$$%%%&&&'''((((((((((((''''''((((((((()))))))))'''''''''((((((((())))))))))))************))))))******+++++++++++++++,,,(((((()))***++++++++++++))))))************))))))'''((())))))******))))))))))))******++++++,,,,,,,,,,,,------......//////------,,,++++++******)))&&&&&&'''(((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$######"""###$$$$$$$$$$$$%%%%%%%%%#########""""""""""""""""""#########$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$###############$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$$$$$$$$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%%%%&&&&&&##################$$$$$$"""""""""######"""""""""###########################"""!!! """$$$&&&%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$$$$$$$$$$##################$$$$$$"""###$$$%%%%%%$$$###"""%%%&&&'''%%%###!!! !!!$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""######$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$"""""""""###$$$$$$%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###############$$$%%%&&&########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######""""""!!!!!!########################%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%######################## !!!"""$$$%%%&&&&&&'''""""""""""""""""""""""""######""""""""""""###### !!!!!!"""######$$$$$$######""""""""""""############""""""""""""######"""""""""""""""#########"""""""""!!!!!!""""""""""""###$$$$$$%%%%%%$$$$$$"""!!!  !!!"""###$$$%%%&&&&&&%%%$$$#########$$$%%%&&&&&&&&&&&&###$$$$$$%%%%%%$$$$$$###""""""""""""""""""""""""################################################$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###"""###%%%&&&&&&%%%###"""$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%$$$$$$"""###$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$$$$######$$$$$$%%%%%%%%%&&&&&&&&&''''''$$$$$$%%%%%%&&&''''''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''''''''&&&&&&&&&&&&&&&'''((()))((((((((()))))))))******(((((((((((())))))))))))))))))************))))))*********+++++++++,,,,,,'''((()))***++++++++++++))))))************))))))'''((()))***+++***))))))'''(((((()))******++++++,,,,,,,,,+++++++++++++++------,,,++++++******)))&&&&&&&&&&&&&&&'''((()))%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%###""""""###%%%&&&########################%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$$$$$$$##################$$$$$$$$$%%%"""###############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%%%%$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$$$$$$$$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""""""""######"""""""""###$$$$$$$$$%%%"""######$$$$$$######"""##############################""""""#########$$$%%%%%%%%%%%%%%%%%%%%%%%%"""""""""#########$$$$$$"""""""""###$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$))))))(((%%%""" !!!"""$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################"""######$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!""""""###$$$$$$%%%%%%###$$$%%%%%%%%%%%%$$$###$$$$$$######$$$$$$%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$%%%&&&'''%%%$$$###!!!!!!###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%########################!!!"""###$$$%%%&&&&&&&&&""""""""""""""""""""""""######""""""""""""###### !!!!!!"""###$$$$$$$$$######""""""""""""############"""""""""""""""###!!!!!!""""""######$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$%%%&&&&&&&&&&&&%%%&&&%%%$$$""""""$$$%%%&&&$$$%%%&&&&&&&&&&&&%%%$$$######$$$%%%&&&&&&&&&&&&$$$$$$$$$%%%%%%$$$$$$$$$########################""""""""""""""""""""""""########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$"""###%%%&&&&&&%%%###"""$$$$$$$$$$$$$$$###"""!!!$$$%%%%%%&&&&&&%%%%%%$$$"""###$$$%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%&&&&&&&&&%%%$$$$$$&&&%%%%%%$$$#########$$$%%%%%%%%%&&&&&&&&&''''''$$$$$$%%%%%%&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''(((((('''''''''&&&%%%%%%&&&''')))***))))))))))))************))))))))))))************))))))************))))))))))))******+++++++++,,,'''''')))******+++++++++))))))************))))))'''(((***+++++++++***)))&&&''''''((()))******+++******)))((('''&&&%%%%%%------,,,,,,+++******)))'''&&&%%%%%%&&&'''((()))$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$!!!!!!$$$&&&########################%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%!!!"""###$$$$$$$$$$$$$$$"""""""""######$$$$$$$$$#########$$$$$$%%%%%%&&&%%%%%%$$$$$$$$$$$$$$$$$$!!!"""###$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%%%%$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%!!!!!!"""###$$$%%%%%%&&&$$$$$$$$$%%%%%%$$$$$$$$$########################"""###$$$%%%%%%$$$"""!!!%%%%%%%%%%%%%%%%%%%%%%%%!!!!!!""""""#########$$$!!!!!!"""###$$$%%%%%%&&&%%%$$$$$$######$$$$$$%%%''''''&&&$$$"""###%%%((($$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""""""""""""""""""""""""""###$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$!!!""""""###$$$$$$%%%%%%!!!"""$$$%%%%%%$$$"""!!!$$$#########$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$####################################$$$%%%&&&'''&&&$$$""" """$$$&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%###########################$$$$$$%%%%%%%%%$$$$$$%%%$$$###"""!!!!!!!!!!!!######""""""""""""""""""%%%%%%%%%%%%%%%%%%%%%%%%#########"""""""""!!!!!!$$$$$$$$$#########""""""%%%%%%$$$$$$###"""""""""##################$$$$$$########################$$$$$$############$$$$$$%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$###############""""""""""""###$$$%%%&&&######""""""""""""######""""""""""""""""""""""""########################"""############$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%((('''%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$###$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&''''''''''''(((%%%''')))***)))((()))***))))))*********))))))(((+++***((('''''''''((()))---,,,,,,,,,+++*********))))))))))))((((((((((((************************)))))))))))))))(((((('''(((((((((((()))***+++,,,++++++++++++++++++++++++,,,,,,,,,+++++++++*********))))))((('''&&&&&&&&&###$$$&&&&&&&&&&&&$$$###%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$###$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&%%%$$$$$$%%%$$$###"""""""""###$$$%%%%%%%%%$$$$$$#########""""""############""""""###$$$$$$%%%%%%$$$$$$### !!!"""###$$$$$$$$$#########$$$$$$%%%%%%%%%########################$$$$$$###"""!!!!!!""""""$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$###!!!  !!!###"""###$$$%%%&&&&&&%%%$$$%%%%%%$$$###""""""######"""############$$$$$$$$$"""###$$$%%%&&&%%%%%%$$$%%%%%%%%%$$$$$$#########''''''%%%$$$###""""""""""""""""""###$$$$$$$$$%%%################################################)))'''$$$"""!!!"""$$$%%%%%%$$$$$$######$$$$$$%%%$$$"""!!!###%%%&&&$$$!!!!!!!!!"""###$$$%%%%%%%%%%%%%%%%%%$$$$$$#########&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$#########"""""""""###$$$%%%%%%%%%%%%%%%!!!!!!!!!!!!"""###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&&&&'''&&&###!!!"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!""""""#########"""""""""############$$$$$$$$$$$$$$$$$$#########""""""$$$$$$##################$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""""""""###%%%%%%$$$$$$##########################################$$$######"""""""""""""""""""""!!!!!!!!!""""""#########$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######$$$$$$$$$#########""""""##################$$$$$$%%%$$$$$$$$$###"""""""""########################$$$$$$############$$$$$$%%%%%%$$$$$$$$$#########%%%%%%%%%%%%%%%$$$$$$$$$&&&&&&%%%%%%%%%$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###############$$$$$$$$$############$$$$$$################################################"""############$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%$$$###"""""""""######%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&''''''''''''(((''')))++++++***)))***+++******++++++++++++******+++***)))((('''(((((()))******)))))))))))))))))))))))))))))))))))))))(((************************))))))******))))))((('''(((((((((((()))***+++,,,++++++++++++++++++++++++++++++++++++************)))))))))((('''&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$###$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$%%%%%%&&&%%%%%%$$$$$$&&&%%%$$$"""""""""######%%%%%%%%%$$$$$$$$$######""""""############""""""###$$$$$$%%%%%%$$$$$$###!!!""""""######$$$$$$$$$######$$$$$$$$$%%%%%%%%%########################$$$$$$###"""""""""""""""$$$$$$$$$$$$$$$$$$$$$$$$!!!""""""""""""""""""!!!$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""!!!!!!"""###$$$!!!!!!"""###$$$###""""""%%%$$$$$$###""""""##################$$$$$$$$$$$$"""###$$$%%%%%%%%%%%%$$$%%%%%%%%%$$$$$$$$$######&&&&&&%%%$$$###########################$$$$$$$$$################################################'''&&&$$$"""""""""###$$$%%%$$$$$$######$$$$$$%%%%%%###"""###%%%%%%###!!!!!!"""###$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$#########"""""""""###$$$%%%%%%%%%%%%%%%"""""""""""""""###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$###$$$&&&&&&%%%###"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""############"""""""""############$$$$$$$$$$$$$$$$$$#########""""""########################$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""""""""###%%%%%%$$$$$$##########################################"""""""""""""""######$$$!!!!!!!!!!!!!!!"""###$$$!!!"""""""""######$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###############!!!""""""###$$$$$$%%%%%%&&&%%%%%%$$$###"""!!!!!!########################$$$$$$############$$$$$$%%%$$$$$$$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$###""""""""""""%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$########################"""############$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%$$$###"""""""""######%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&''''''''''''((()))+++,,,,,,***))))))*********+++,,,,,,++++++***+++***)))(((((((((((()))(((((())))))))))))))))))))))))))))))))))))))))))************************)))************)))(((((((((((((((((()))***+++,,,++++++++++++++++++++++++************))))))))))))))))))(((((('''&&&&&&&&&''''''&&&&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%$$$$$$&&&%%%$$$###""""""""""""%%%%%%%%%$$$$$$$$$$$$###""""""############""""""###$$$$$$%%%%%%$$$$$$############$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%########################$$$$$$###""""""""""""###$$$$$$$$$$$$$$$$$$$$$$$$""""""############""""""$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$######$$$%%%&&&""""""#########"""!!!!!!%%%$$$######"""#####################$$$$$$$$$%%%######$$$%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$$$$$$$###%%%%%%$$$######$$$$$$%%%$$$$$$$$$###############$$$$$$$$$$$$$$$$$$$$$$$$########################%%%$$$$$$###"""""""""!!!%%%$$$$$$######$$$$$$%%%%%%$$$######$$$$$$""" !!!"""###$$$%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$#####################$$$%%%%%%%%%$$$$$$$$$$$$#########$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$###"""!!!"""$$$&&&&&&%%%"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""###############"""""""""############$$$$$$$$$$$$$$$$$$#######################################$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$%%%%%%######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!!!!!!!"""###$$$%%%!!!!!!!!!"""###$$$%%%&&&!!!!!!"""######$$$$$$$$$""""""""""""""""""""""""########################""""""#########$$$$$$$$$%%%$$$$$$$$$###"""""""""########################$$$$$$############$$$$$$$$$$$$$$$$$$###########################$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###""""""##################%%%$$$$$$###""""""######$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&''''''''''''(((***+++,,,,,,***(((((()))))))))***+++++++++***************)))))))))))))))))))))******++++++,,,,,,)))))))))))))))***************************************++++++******)))((())))))(((((()))***++++++************************))))))))))))(((((((((((((((((((((''''''&&&&&&&&&((('''&&&%%%%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&######$$$%%%%%%%%%%%%$$$&&&%%%%%%###""""""!!!!!!$$$$$$$$$$$$$$$$$$$$$$$$"""######$$$$$$######"""###$$$$$$%%%%%%$$$$$$###%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$###""""""#########$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$$$$$$$$$$%%%&&&%%%%%%%%%%%%$$$$$$######$$$$$$###############$$$#########$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%&&&%%%$$$$$$$$$###"""""""""$$$$$$$$$$$$$$$$$$$$$$$$########################"""######$$$###"""!!! %%%$$$$$$######$$$$$$%%%%%%$$$$$$$$$$$$###"""!!!"""###$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%%%%%%%&&&###########################$$$$$$%%%%%%%%%$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""" !!!###%%%%%%%%%""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$###""""""""""""#########$$$$$$$$$#######################################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$%%%%%%######$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!!!!!!!"""###%%%%%%"""""""""###$$$%%%&&&'''############$$$$$$%%%%%%""""""""""""""""""""""""########################$$$$$$$$$#########"""""""""""""""###$$$$$$$$$%%%########################$$$$$$############$$$$$$$$$$$$$$$#########""""""""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###!!!!!!!!!!!!""""""############""""""###$$$$$$%%%######""""""""""""######################################################""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&''''''''''''((((((***+++***(((''''''(((''''''((()))))))))))))))***************))))))((()))))))))******++++++,,,((()))))))))*********+++************************+++++++++++++++******)))))))))))))))))))))***+++************************)))))))))(((((((((''''''''''''''''''&&&&&&&&&&&&((('''&&&%%%%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&"""###$$$$$$%%%%%%%%%$$$%%%%%%$$$$$$###"""!!!!!!$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$#########$$$$$$%%%%%%$$$$$$###%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$###############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$&&&&&&%%%$$$$$$#########$$$###############$$$$$$###$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$%%%&&&&&&%%%$$$$$$$$$###"""""""""$$$$$$$$$$$$$$$$$$$$$$$$########################!!!"""###$$$$$$###!!! %%%$$$$$$######$$$$$$%%%###$$$%%%$$$###"""""""""######$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%########################$$$$$$%%%%%%%%%$$$$$$###%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&###!!!!!!"""$$$$$$$$$""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###""""""""""""#########$$$$$$$$$########################""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%%%%%%%%%%######$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!!!!!!!"""###$$$%%%###############$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%###############$$$$$$$$$%%%%%%$$$$$$###""""""!!!!!!!!!"""###$$$%%%%%%&&&########################$$$$$$############$$$$$$$$$############"""""""""""""""######$$$%%%%%%%%%#########$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$### !!!!!!"""#########""""""""""""###$$$%%%&&&###""""""""""""""""""###""""""""""""""""""""""""########################"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%""""""###$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&''''''''''''(((''')))******(((''''''(((&&&&&&'''((())))))))))))******++++++******)))(((''''''((((((((((((((((((((())))))******+++++++++************************+++,,,,,,,,,,,,+++*********)))))))))))))))******************************))))))))))))((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&!!!"""###$$$%%%%%%%%%%%%###$$$$$$$$$$$$###""""""###$$$$$$$$$$$$%%%%%%%%%######$$$$$$$$$$$$#########$$$$$$%%%%%%$$$$$$############$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###########################$$$############$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""############""""""$$$$$$$$$$$$$$$$$$$$$$$$########################$$$###""""""!!!"""""""""#########"""######$$$%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&%%%$$$$$$######$$$$$$###$$$$$$$$$$$$%%%%%%%%%$$$#########$$$%%%%%%&&&$$$$$$$$$###############%%%%%%%%%%%%%%%%%%%%%%%%########################""""""$$$$$$$$$###"""!!!%%%$$$$$$######$$$$$$%%%!!!###%%%%%%###"""###$$$$$$$$$%%%%%%%%%%%%%%%$$$###$$$$$$$$$$$$%%%%%%%%%#########$$$$$$$$$$$$$$$###############$$$$$$$$$$$$$$$%%%%%%%%%$$$######$$$$$$#########$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&$$$""""""$$$$$$$$$###"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$###"""""""""############$$$$$$$$$###############$$$$$$$$$"""""""""###$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%&&&%%%%%%%%%######$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%""""""!!!!!!"""###$$$$$$###""""""!!!""""""######$$$$$$$$$###""""""!!!!!!######$$$$$$$$$%%%%%%%%%""""""#########$$$$$$$$$$$$$$$##################"""""""""###$$$$$$$$$%%%########################$$$$$$############$$$$$$############""""""""""""#########$$$%%%&&&&&&&&&"""#########$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###"""""""""###$$$%%%%%%%%%$$$###############$$$$$$$$$######""""""######$$$################################################"""############$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%!!!"""###$$$$$$$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&''''''''''''(((''')))******)))))))))***&&&'''((())))))***************+++++++++***)))(((((((((((((((((('''''''''((())))))******+++,,,,,,************************,,,,,,,,,---,,,++++++*********))))))))))))***************************************)))))))))((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&&&&%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&!!!"""###$$$$$$%%%%%%%%%!!!"""###$$$%%%$$$############$$$$$$$$$%%%%%%%%%###$$$$$$%%%%%%$$$$$$######$$$$$$%%%%%%$$$$$$###!!!""""""######$$$$$$$$$%%%%%%%%%$$$$$$$$$##############################$$$#########$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$!!!""""""""""""""""""!!!$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$#########"""!!!!!!!!!"""###$$$######""""""###$$$$$$%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%$$$#########$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$###$$$$$$%%%%%%###############$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%##############################$$$$$$$$$$$$$$$###%%%$$$$$$######$$$$$$%%%"""$$$%%%######$$$&&&$$$%%%%%%&&&%%%%%%$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$############""""""#########$$$$$$$$$$$$%%%%%%%%%%%%$$$###""""""""""""""""""###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$&&&'''&&&$$$"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$###"""!!!"""############$$$$$$$$$""""""#########$$$$$$$$$!!!""""""###$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%&&&&&&&&&%%%%%%######$$$$$$%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%"""""""""""""""######$$$"""!!!!!! !!!$$$$$$###"""!!! !!!!!!""""""############""""""######$$$$$$$$$$$$"""""""""###$$$$$$%%%%%%$$$$$$$$$#######################################$$$$$$############$$$$$$############""""""""""""######$$$%%%&&&&&&''''''""""""######$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$######$$$%%%&&&&&&''''''&&&%%%$$$###""""""""""""%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$########################"""############$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%###$$$%%%&&&'''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%&&&'''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&'''''''''((((((''')))+++++++++***+++,,,'''''')))******+++++++++******+++,,,+++***)))(((++++++******))))))((((((((())))))***++++++,,,,,,************************,,,,,,------,,,,,,+++*********)))))))))))))))***))))))))))))))))))))))))************))))))))))))&&&&&&&&&&&&&&&&&&&&&&&&###$$$&&&&&&&&&&&&$$$###%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&!!!!!!"""$$$$$$%%%%%%%%% !!!###$$$%%%%%%$$$$$$#########$$$$$$%%%%%%%%%###$$$$$$%%%%%%$$$$$$###$$$$$$$$$%%%%%%$$$$$$$$$ !!!"""###$$$$$$%%%%%%%%%%%%$$$$$$#################################$$$#########$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$#########$$$&&&'''######""""""###$$$%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&'''&&&$$$#########$$$$$$#########$$$$$$%%%%%%%%%%%%%%%$$$$$$###$$$$$$%%%""""""######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%########################$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%!!!$$$%%%######%%%'''%%%%%%%%%&&&&&&%%%$$$$$$#########$$$$$$%%%%%%%%%%%%$$$$$$$$$######""""""""""""######$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$###"""!!!!!!!!!!!!"""###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!"""%%%((()))(((&&&"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%$$$###"""!!!"""############$$$$$$$$$""""""######$$$$$$$$$$$$!!!""""""###$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%&&&'''&&&%%%%%%######$$$%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%% !!!!!!!!!!!!%%%$$$$$$$$$###"""""""""$$$###"""!!!!!!"""###$$$ !!!"""""""""""" !!!###$$$$$$$$$###"""""""""!!!!!!!!!!!!""""""######"""!!!!!!!!!!!!!!!$$$$$$$$$$$$$$$###"""!!!%%%""""""%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%###"""!!!"""""""""!!!###$$$$$$%%%%%%$$$$$$###!!!!!!""""""######$$$$$$%%%%%%$$$$$$###"""""""""&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%$$$###"""$$$###"""!!!!!!"""###$$$%%%%%%%%%%%%%%%%%%%%%%%%"""$$$&&&&&&%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$'''''''''&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&%%%$$$###%%%'''''''''&&&&&&&&&%%%%%%%%%((((((&&&%%%%%%&&&'''(((''''''''''''((((((((((((&&&''''''((()))******++++++***)))(((((()))******((()))***++++++++++++++++++******)))(((''''''&&&((((((((()))******++++++******))))))))))))******---,,,,,,+++***)))((((((*********)))))))))))))))(((((()))*********************++++++++++++******'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((('''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$ !!!"""###$$$$$$$$$######$$$$$$$$$%%%%%%%%%#########$$$%%%%%%%%%&&&!!!!!!"""###$$$%%%%%%&&&########################&&&$$$"""!!! !!!"""###!!!"""######"""!!!"""###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######!!!"""###$$$%%%&&&&&&&&&$$$$$$$$$$$$$$$###"""!!!"""############$$$$$$$$$%%%%%%%%%$$$$$$#########!!!"""$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########################################################$$$$$$%%%%%%%%%###########################$$$%%%$$$"""""""""###$$$$$$$$$############"""%%%%%%%%%$$$$$$#########%%%###!!!###&&&'''&&&$$$!!!"""$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""############$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$%%%&&&%%%$$$###########################"""###%%%&&&&&&%%%###"""!!!###%%%&&&'''&&&$$$############$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%########################%%%###"""###%%%%%%""""""###$$$$$$%%%%%%$$$$$$$$$$$$%%%$$$""""""$$$&&& !!!!!!!!!"""""""""$$$$$$##################$$$###"""!!!!!!"""###$$$%%%%%%###!!!!!!"""""""""!!! """"""!!!!!!!!!!!!""""""$$$$$$###"""""""""""""""$$$$$$$$$$$$$$$###""""""$$$###  ###$$$#########$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%#####################$$$$$$%%%%%%$$$$$$###""""""""""""##############################$$$$$$%%%%%%$$$$$$$$$############$$$$$$$$$######"""!!!$$$###""""""""""""###$$$########################"""$$$&&&%%%$$$###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&'''%%%$$$###$$$%%%''''''&&&&&&&&&%%%%%%%%%'''&&&%%%%%%%%%%%%&&&'''''''''''''''((((((((((((''''''(((((())))))******+++***)))(((((()))************+++,,,,,,,,,,,,,,,+++++++++***))))))(((((((((((())))))***++++++,,,******))))))))))))******,,,++++++******)))))))))************++++++++++++(((((()))***************(((((())))))))))))((((((''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$!!!""""""######$$$$$$$$$######$$$$$$$$$%%%%%%%%%#########$$$$$$$$$$$$$$$###############$$$$$$$$$########################%%%$$$"""!!!!!!!!!"""######$$$%%%%%%$$$###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######"""######$$$%%%%%%%%%%%%!!!""""""#########"""""""""############$$$$$$$$$$$$$$$$$$######"""""""""!!!!!!###$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%###########################$$$%%%$$$"""""""""###$$$$$$$$$############"""%%%%%%%%%$$$$$$$$$######%%%###"""###%%%&&&%%%### !!!"""$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$ $$$ $$$&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%%%%%%%$$$### """#########!!! ######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%########################&&&$$$######%%%%%%###!!!###$$$$$$%%%%%%%%%%%%%%%"""$$$&&&)))******((('''!!!""""""""""""#########""""""########################""""""""""""##################"""!!! """###$$$$$$%%%%%%$$$$$$###""""""!!!!!!""""""###%%%$$$$$$##################$$$$$$$$$$$$###""""""$$$###"""!!!!!!"""###$$$""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$##################"""""""""!!!""""""###$$$$$$%%%%%%###############""""""""""""############"""!!!!!!$$$$$$############$$$$$$########################$$$%%%%%%$$$######$$$&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&'''&&&$$$###$$$%%%''''''&&&&&&&&&%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&''''''''''''(((((((((((((((((((((((((((((((((******))))))))))))*********+++,,,,,,---,,,,,,,,,,,,,,,++++++******))))))))))))******+++,,,,,,,,,******))))))))))))***************************************+++,,,,,,------((())))))************)))&&&''''''((((((''''''&&&'''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%##################""""""$$$$$$$$$#########""""""########################%%%$$$###!!!!!!"""#########$$$%%%%%%$$$###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$#########$$$$$$%%%%%%$$$$$$$$$ !!!"""############"""############$$$$$$$$$#########""""""""""""""""""###$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%#########$$$$$$$$$$$$$$$###########################$$$%%%$$$"""""""""###$$$$$$$$$############"""%%%%%%%%%$$$$$$$$$$$$###&&&$$$###$$$%%%%%%$$$#########$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$%%%########################%%%""" $$$%%%$$$"""$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!"""$$$%%%%%%%%%$$$######$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%########################&&&%%%$$$$$$%%%%%%$$$###$$$$$$%%%&&&&&&&&&&&&&&&"""###''',,,111111,,,(((""""""#########$$$$$$$$$!!!!!!""""""######$$$$$$###""""""""""""""""""### """$$$%%%''''''(((###$$$$$$%%%%%%%%%%%%%%%###""""""""""""""""""###$$$######""""""###############$$$$$$$$$######"""####################################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&%%%$$$$$$$$$%%%###$$$$$$%%%%%%$$$$$$###$$$$$$$$$######"""""""""""""""#########$$$$$$$$$########################"""###############""""""%%%$$$$$$$$$$$$$$$$$$%%%$$$%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%###""""""$$$'''$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$&&&&&&%%%$$$%%%'''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&'''''''''(((((((((((((((((((((((('''''')))))))))))))))************++++++,,,,,,++++++++++++++++++******))))))))))))******+++,,,,,,------******))))))))))))******((()))))))))*********+++))))))******+++,,,------((()))************))))))&&&''''''((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$###"""###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$#########"""!!!!!!!!!################################################$$$$$$###""""""######$$$!!!"""######"""!!!"""###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%$$$###"""!!!!!!"""###############""""""#########$$$$$$$$$##################""""""$$$$$$$$$$$$######""""""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&###############$$$$$$$$$###########################$$$%%%$$$"""""""""###$$$$$$$$$#########""""""$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$$$$$$$$$$###"""###$$$$$$%%%$$$$$$#########$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%###!!!"""$$$$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""""""""###%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%###$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%########################&&&%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&$$$###%%%+++111111,,,&&&############$$$$$$$$$$$$!!!!!!!!!""""""######$$$"""""""""######"""""""""!!!"""""""""!!!!!!  !!!!!!!!!######""""""""""""######""""""!!!!!!!!!""""""###"""######$$$$$$$$$############$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$!!!###&&&%%%$$$######$$$###$$$$$$%%%%%%$$$$$$###%%%%%%$$$$$$######""""""$$$$$$$$$#########""""""######$$$$$$$$$$$$$$$$$$######$$$$$$%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%###""""""$$$'''$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""%%%&&&&&&&&&''')))''''''&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&&&&&&&''''''''''''((((((((((((''''''''''''(((((())))))************))))))************)))))))))))))))))))))((((((((()))******+++,,,,,,------******))))))))))))******((((((((()))******++++++'''(((((()))***+++,,,,,,))))))*********))))))((('''(((((())))))(((((('''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$###"""###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$#########"""!!!!!!!!!!!!""""""###$$$$$$%%%%%%########################$$$###############$$$$$$!!!"""######"""!!!"""###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%$$$###""""""$$$%%%%%%%%%$$$$$$###"""""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$######"""""""""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&###################################################$$$%%%$$$"""""""""###$$$$$$$$$#########""""""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$########################""""""!!!#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%########################%%%$$$######$$$$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""!!!"""###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%% !!!!!!"""""""""""""""$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%########################%%%%%%%%%$$$$$$$$$&&&'''$$$%%%&&&&&&''''''&&&&&&&&&$$$"""%%%***,,,((($$$"""############$$$$$$$$$!!!!!!""""""""""""""""""""""""############""""""############""""""!!! !!!!!! !!!"""###$$$######""""""######$$$!!!!!!!!!!!!!!!!!!"""###""""""###$$$$$$$$$$$$###########################$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$###&&&&&&$$$"""###%%%###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$#########%%%%%%$$$$$$###""""""!!!#########$$$$$$$$$$$$$$$######$$$%%%%%%%%%%%%$$$######$$$$$$$$$$$$######"""""""""######$$$$$$%%%$$$%%%%%%$$$######$$$&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!%%%&&&''''''((()))''''''&&&&&&&&&%%%%%%%%%%%%%%%&&&'''((((((((((((%%%&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''((()))******+++******))))))))))))))))))(((''')))((((((((((((((((((((())))))******+++,,,,,,,,,******))))))))))))******((((((((())))))*********((((((((()))*********+++)))************))))))(((((())))))******))))))(((%%%%%%%%%&&&&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%##################"""""" !!!"""###$$$%%%&&&&&&#################################$$$$$$$$$$$$$$$###$$$%%%%%%$$$###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%$$$###"""&&&&&&&&&&&&%%%$$$###""""""############$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$###""""""######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$%%%%%%&&&&&&###############"""""""""###########################$$$%%%$$$"""""""""###$$$$$$$$$############"""###$$$$$$$$$$$$%%%%%%%%%$$$%%%&&&%%%#########%%%""""""#########""""""!!!#########$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%""""""""""""""""""""""""###$$$$$$%%%$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$###""""""""""""###$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$"""""""""#########$$$$$$%%%%%%%%%$$$$$$$$$$$$############$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%########################$$$%%%%%%$$$######%%%((($$$$$$%%%&&&&&&&&&&&&&&&'''$$$!!!!!!$$$%%%$$$###"""""""""############$$$"""""""""""""""!!!!!!!!!!!!"""###$$$$$$###"""!!! """$$$%%%&&&''''''$$$$$$#########$$$%%%&&&$$$######""""""######$$$""""""!!!!!!""""""###$$$""""""###$$$$$$$$$$$$$$$######""""""""""""#########$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$((((((%%%###$$$&&&###$$$$$$%%%%%%$$$$$$######$$$$$$$$$$$$$$$$$$%%%$$$$$$##################"""""""""#########$$$$$$""""""###$$$$$$$$$$$$$$$""""""###$$$$$$###""""""!!!""""""###$$$$$$%%%%%%"""$$$&&&%%%$$$###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$ ###&&&'''&&&&&&%%%&&&''''''&&&&&&&&&%%%%%%%%%###$$$%%%'''((((((''''''%%%%%%&&&&&&&&&'''''''''%%%&&&&&&''''''(((((((((&&&''')))***++++++*********************)))(((((())))))))))))))))))))))))(((((())))))***++++++,,,******))))))))))))******((((((((()))))))))))))))***************************************)))((((((((())))))******))))))(((%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$!!!""""""######$$$$$$$$$######$$$$$$$$$%%%%%%%%%#########$$$$$$$$$$$$$$$""""""#########$$$$$$$$$########################"""###$$$$$$%%%%%%%%%$$$###$$$%%%%%%$$$###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######$$$$$$%%%%%%%%%$$$######$$$$$$%%%%%%%%%$$$$$$###"""############$$$$$$$$$"""#########$$$$$$$$$$$$%%%$$$###""""""######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%""""""######$$$%%%%%%&&&$$$#########"""""""""!!!###########################$$$%%%$$$"""""""""###$$$$$$$$$############"""######$$$$$$$$$%%%%%%%%%"""$$$&&&%%%######$$$&&&""""""###$$$$$$$$$######"""######$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$"""###%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!""""""###############""""""""""""""""""""""""###$$$%%%%%%%%%%%%$$$###%%%%%%$$$$$$%%%%%%&&&'''%%%%%%%%%$$$$$$$$$######"""######$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%###########################$$$$$$###!!!"""%%%(((###$$$$$$%%%%%%%%%%%%%%%$$$$$$###""""""######$$$!!!""""""""""""###############""""""!!!!!! !!!"""###$$$$$$###"""!!!!!!!!!"""""""""###"""!!!!!!!!!"""$$$$$$$$$$$$############$$$$$$######""""""###$$$%%%%%%!!!"""###$$$$$$$$$$$$$$$$$$###"""!!!!!!"""###$$$"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ %%%)))***&&&$$$%%%((($$$$$$$$$%%%%%%$$$$$$$$$#########$$$$$$%%%%%%&&&"""""""""###$$$$$$%%%%%% !!!!!!!!!""""""######!!!!!!"""###############!!!"""###$$$$$$###"""!!!######$$$%%%&&&&&&''''''"""$$$&&&&&&%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&'''''''''$$$$$$$$$$$$$$$$$$$$$$$$###%%%((((((&&&$$$######''''''&&&&&&&&&%%%%%%%%%"""###$$$&&&''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&&&&'''((())))))&&&''')))***+++++++++***+++++++++++++++***)))(((******************++++++((((((((()))******++++++******))))))))))))******)))))))))))))))(((((((((,,,,,,++++++++++++++++++***************)))(((((((((((())))))))))))((((((%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((('''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ !!!"""###$$$$$$%%%######$$$$$$$$$%%%%%%%%%#########$$$%%%%%%%%%&&&$$$$$$$$$#######################################"""###$$$%%%%%%%%%%%%%%%!!!#########"""!!!"""###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$#########$$$$$$%%%%%%%%%$$$$$$!!!"""###$$$$$$$$$$$$$$$"""############$$$$$$$$$!!!!!!""""""#########$$$$$$$$$###""""""###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%!!!!!!"""###$$$$$$%%%%%%$$$#########""""""!!!!!!###########################$$$%%%$$$"""""""""###$$$$$$$$$############"""#########$$$$$$%%%%%%%%%!!!###&&&%%%######%%%'''"""###$$$%%%%%%%%%%%%%%%""""""###$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&########################!!!###%%%&&&%%%$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$ !!!###$$$$$$$$$###"""!!!!!!!!!!!!!!!!!!!!!!!!"""###%%%&&&&&&%%%###"""""""""!!!!!!""""""###$$$%%%%%%%%%$$$$$$#########""""""###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$%%%########################"""###$$$""" !!!%%%(((######$$$%%%%%%%%%%%%$$$"""###%%%%%%$$$###$$$%%%$$$###"""!!!!!!"""###$$$$$$###"""!!!!!!"""###$$$""""""""""""!!!!!!!!!!!!""""""""""""##################$$$$$$$$$$$$######"""###%%%%%%###"""###$$$######"""""""""""""""###'''&&&$$$ !!!$$$"""###$$$$$$$$$$$$###"""&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%###!!! !!!"""$$$$$$###########################&&&%%%###""""""###%%%&&&######$$$$$$$$$$$$######%%%$$$$$$$$$###"""""""""""""""#########$$$$$$$$$######$$$%%%%%%%%%%%%$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%######$$$%%%'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&'''''''''(((((())))))))))))))))))))))))))))))******+++++++++******)))***************)))(((((((((((())))))*********+++++++++************++++++))))))))))))((((((((((((+++***)))))))))***,,,---))))))))))))))))))))))))(((((((((((((((((((((((((((((('''&&&%%%$$$$$$$$$''''''((()))'''%%%###!!!$$$$$$$$$$$$$$$$$$$$$$$$###"""""""""###$$$%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$#########""""""""""""""""""""""""%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$ !!!######$$$$$$$$$&&&&&&%%%$$$$$$######"""$$$%%%%%%&&&%%%$$$###"""!!!"""""""""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""""""""###$$$$$$$$$%%%$$$###"""""""""###%%%&&&################################################$$$$$$$$$$$$$$$$$$$$$$$$########################%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$########################""""""""""""""""""""""""########################%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%###"""!!! """$$$&&&$$$$$$##################%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%%%%%%%$$$%%%%%%%%%$$$$$$#########"""############$$$$$$$$$""""""######$$$$$$$$$$$$&&&%%%$$$######$$$%%%&&&'''$$$!!!"""$$$&&&%%%$$$$$$$$$$$$######"""""""""$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&'''''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$###""""""""""""###$$$$$$###"""!!!!!!"""###$$$###"""""""""!!!!!!!!!!!!""""""""""""##################$$$$$$$$$$$$######"""###%%%%%%###"""###$$$######""""""""""""#########$$$$$$###!!!!!!"""$$$########################%%%%%%%%%%%%$$$$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%&&&$$$######%%%&&&%%%$$$########################$$$###!!! !!!###$$$######$$$$$$$$$$$$######$$$$$$$$$###############""""""#########$$$$$$$$$######$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%###%%%%%%%%%$$$###$$$%%%'''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&))))))))))))))))))))))))*********++++++******)))((()))))))))(((((('''&&&((()))))))))************+++******************+++))))))))))))((((((((((((******))))))******+++,,,(((((((((((((((((((((((('''''''''''''''''''''''')))((('''&&&%%%%%%%%%%%%$$$%%%&&&&&&&&&%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&######$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$##############################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$ !!!"""######$$$######$$$$$$$$$$$$$$$$$$$$$%%%$$$%%%%%%%%%%%%$$$###"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###############$$$$$$$$$######""""""######$$$%%%########################$$$$$$$$$$$$$$$$$$$$$$$$$$$#############################################%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$########################################################################%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%######"""!!!"""###$$$%%%########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%%%%%%%$$$%%%%%%%%%$$$$$$$$$##################$$$$$$$$$$$$"""#########$$$$$$$$$$$$%%%%%%$$$######$$$%%%%%%'''$$$""""""$$$&&&%%%$$$%%%%%%$$$$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$###""""""""""""###$$$######"""""""""!!!!!!!!!""""""""""""##################$$$$$$$$$$$$######"""###%%%%%%###"""###$$$###"""""""""""""""###### """%%%&&&%%%$$$$$$$$$%%%$$$###""""""###$$$%%%$$$$$$$$$$$$#########"""""""""""""""""""""""""""###$$$$$$$$$$$$%%%%%%%%%&&&%%%$$$$$$%%%&&&%%%###########################$$$###"""!!!!!!"""###$$$######$$$$$$$$$$$$#####################$$$$$$$$$###############$$$$$$$$$######$$$%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%###%%%&&&%%%$$$###$$$&&&'''''''''&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&%%%))))))(((((('''&&&&&&&&&))))))))))))))))))))))))))))))******+++******))))))))))))***))))))((('''))))))))))))************************************))))))))))))((((((((((((((()))******++++++******(((((((((((((((((((((((('''''''''''''''''''''''')))((('''&&&&&&&&&&&&&&&#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$""""""###############""""""######$$$%%%%%%&&&&&&$$$$$$%%%%%%%%%$$$#########$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###############""""""###$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$#########"""""""""!!!!!!$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%############$$$$$$$$$$$$#################################$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%%%%%%%$$$%%%%%%%%%$$$$$$$$$$$$###############$$$$$$$$$%%%############$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%&&&%%%######$$$%%%%%%$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$%%%#################################"""""""""!!!!!!!!!"""""""""##################$$$$$$$$$$$$######"""###%%%%%%###"""###$$$""""""""""""""""""###$$$!!!###%%%&&&%%%$$$$$$%%%%%%$$$"""!!!!!!"""$$$%%%############"""""""""""""""""""""###############$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""###$$$$$$"""!!!########################%%%%%%$$$######$$$%%%%%%######$$$$$$$$$$$$######"""""""""###$$$$$$$$$%%%##############################$$$%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&%%%$$$$$$%%%&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&%%%%%%%%%))))))))))))((((((((((((((((((((((((((((((((((((((())))))***************++++++,,,,,,,,,++++++***)))))))))))))))*********))))))************))))))))))))))))))(((((((((((('''(((***+++++++++***)))(((((((((((((((((((((((('''''''''''''''''''''''')))(((''''''&&&&&&&&&'''$$$$$$$$$###$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$'''&&&%%%$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$###""""""#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$###"""""""""!!!"""###%%%%%%$$$##############################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###""""""!!!!!!$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$################################################$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%%%%$$$$$$###############$$$$$$$$$""""""###$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%######$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$##################""""""""""""!!!"""""""""##################$$$$$$$$$$$$######"""###%%%%%%###"""###$$$""""""!!!!!!"""###$$$$$$%%%&&&%%%$$$""""""$$$%%%%%%$$$"""!!!!!!"""$$$%%%#########"""""""""!!!!!!#########$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%###!!!########################%%%$$$$$$$$$$$$$$$$$$%%%######$$$$$$$$$$$$######"""""""""###$$$$$$$$$%%%##############################$$$%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%$$$$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&$$$$$$%%%&&&''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''((())))))(((((((((((((((((((((((('''((()))******************++++++,,,,,,,,,++++++******))))))))))))))))))((()))************)))((())))))))))))(((((((((((('''((()))++++++***))))))''''''''''''''''''''''''''''''''''''''''''''''''(((''''''&&&&&&&&&&&&'''''''''&&&%%%%%%%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$######"""############$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$#################################$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$######"""%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$%%%""""""""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$###"""""""""!!!"""###%%%%%%$$$##############################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$################################################################################################$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$###""""""#########$$$$$$$$$""""""###$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$##############################$$$$$$$$$$$$############$$$%%%%%%$$$######$$$$$$#########"""""""""""""""""""""##################$$$$$$$$$$$$######"""###%%%%%%###"""###$$$!!!!!!!!!!!!"""###$$$%%%%%%&&&%%%###!!!!!!###%%%%%%$$$###""""""###$$$%%%############"""""""""!!!#########$$$%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$&&&((((((&&&$$$########################""""""""""""""""""""""""######$$$$$$$$$$$$#####################$$$$$$$$$$$$$$$$$$#####################$$$%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%&&&&&&'''$$$$$$$$$$$$%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$&&&'''&&&%%%$$$%%%''''''''''''''''''(((((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''!!!!!!"""$$$%%%&&&'''((())))))))))))))))))))))))''''''((()))************'''((())))))***)))))))))************))))))))))))'''((()))******)))((('''))))))))))))(((((((((((('''((())))))******))))))''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%%%%&&&&&&'''''''''&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######""""""############$$$$$$$$$%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%""""""""""""""""""""""""""""""######$$$%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$$$$###&&&&&&%%%%%%$$$######"""$$$$$$######$$$$$$%%%&&&!!!!!!"""""""""#########$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###############""""""###$$$$$$$$$$$$$$$################################################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$########################""""""""""""""""""""""""########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########"""""""""###$$$$$$%%%%%%#########$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%%%%%%%$$$###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$%%%''''''&&&%%%%%%&&&$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$########################""""""###$$$$$$###""""""###$$$$$$%%%%%%$$$$$$###$$$$$$$$$#########""""""""""""""""""##################$$$$$$$$$$$$######"""###%%%%%%###"""###$$$!!!!!!!!!!!!"""###$$$%%% """$$$$$$###"""###$$$########################$$$$$$#########""""""""""""""""""###$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$############$$$&&&))))))'''%%%########################"""""""""######"""""""""######$$$$$$$$$$$$######$$$$$$$$$###############$$$$$$$$$#########""""""######$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%&&&''''''$$$$$$$$$$$$%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''&&&%%%%%%%%%'''&&&'''''''''((((((((()))&&&&&&&&&&&&&&&&&&&&&&&&###$$$$$$%%%&&&'''((((((######$$$$$$%%%&&&''''''))))))))))))))))))))))))&&&'''((()))************&&&'''(((((()))))))))(((************)))))))))((('''((()))******)))((('''))))))))))))((((((((((((((((((((((((((()))******''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&###$$$%%%&&&'''&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$%%%%%%######$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%########################!!!""""""###$$$$$$%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$%%%&&&""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""######$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$###############$$$$$$$$$######""""""######$$$%%%########################""""""""""""""""""""""""""""""######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$########################################################################%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%&&&########################%%%$$$###"""!!!"""######!!!""""""###$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%%%%%%%$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%&&&''''''&&&%%%%%%###&&&((((((&&&$$$%%%&&&#########$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$####################################!!!"""###$$$$$$###"""!!!###$$$%%%&&&&&&%%%$$$###$$$$$$$$$############"""""""""""""""##################$$$$$$$$$$$$######"""###%%%%%%###"""###$$$!!!!!!!!!!!!"""###$$$%%%###&&&%%%$$$######"""###$$$$$$$$$$$$###"""$$$$$$$$$$$$############ !!!!!!"""###$$$$$$$$$%%%%%%%%%$$$$$$######### """%%%'''(((&&&$$$########################$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$$$$$$$######%%%$$$$$$$$$######""""""$$$$$$$$$$$$######""""""######$$$%%%%%%%%%%%%$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%&&&''''''$$$$$$$$$$$$%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''%%%%%%&&&'''&&&'''''''''(((((())))))''''''''''''''''''''''''"""###$$$%%%'''((())))))''''''(((((((((((((((((())))))))))))))))))))))))&&&'''((()))************(((((()))***************+++*********))))))(((((('''((()))++++++)))((('''))))))))))))(((((((((((()))((('''''''''(((***+++''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$######$$$%%%%%%!!!###&&&''''''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&'''######$$$$$$$$$%%%%%%%%%#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!""""""###$$$$$$%%%%%%#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!"""###$$$%%%&&&&&&&&&#########$$$$$$%%%&&&&&&$$$$$$#########$$$&&&'''######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$""""""######$$$$$$$$$%%%$$$###"""""""""###%%%&&&########################!!!!!!!!!!!!!!!!!!!!!!!! !!!"""###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$########################%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$######$$$$$$%%%&&&########################&&&$$$""" !!!"""###!!!""""""###$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%%%%%%%$$$#########$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&''''''&&&%%%%%%###&&&)))(((&&&$$$%%%&&&"""""""""######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$#########""""""!!!!!!""""""""""""""""""""""""#########"""""""""""""""###$$$$$$%%%%%%$$$$$$####################################"""""""""!!!!!!""""""""""""""""""""""""$$$###"""!!!!!!"""###$$$$$$###!!! !!!"""!!!!!! !!!"""###%%%&&&%%%%%%%%%$$$$$$$$$######"""######$$$$$$######"""######$$$$$$$$$%%%%%%%%%%%%$$$###""""""###$$$%%%$$$%%%%%%&&&&&&%%%%%%$$$########################$$$$$$$$$############"""""""""""""""""""""""""""###$$$$$$$$$$$$###"""""""""############$$$$$$$$$###########################$$$$$$%%%%%%$$$$$$###""""""###$$$$$$$$$$$$###'''&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%(((((('''''''''&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((()))******)))((('''******************************************************))))))))))))))))))************))))))))))))+++((($$$!!!!!!$$$(((+++))))))************))))))&&&&&&&&&&&&&&&&&&&&&&&&(((((('''''''''&&&&&&&&&'''''''''&&&&&&%%%%%%%%%###$$$%%%&&&''''''''''''$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$###""""""###%%%'''((($$$$$$$$$######"""""""""%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%&&&'''''''''&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%########################"""######$$$$$$######"""&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$#########""""""###########################$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$%%%%%%&&&&&&%%%%%%%%%&&&&&&%%%$$$$$$######$$$$$$$$$%%%%%%%%%"""###%%%%%%$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$"""############$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&%%%%%%'''((())))))(((%%%#########$$$%%%&&&&&&%%%%%%%%%%%%$$$$$$'''''''''''''''&&&&&&&&&%%%%%%$$$###$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%###""" ########################"""""""""!!!!!!!!!!!!!!!###$$$$$$%%%%%%$$$$$$###########################&&&&&&&&&%%%%%%%%%$$$$$$########################$$$###"""!!!!!!"""###$$$$$$###""""""!!!!!!!!!"""""""""!!!!!!"""###$$$%%%%%%%%%$$$$$$##################$$$$$$$$$$$$###############$$$$$$$$$%%%%%%$$$$$$###""""""###$$$$$$###$$$$$$%%%%%%$$$$$$###########################""""""###$$$%%%&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$!!!"""###$$$$$$$$$$$$$$$&&&%%%%%%%%%$$$$$$#################################$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$###"""!!!&&&&&&%%%$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&(((((())))))))))))(((((())))))))))))))))))))))))************************++++++++++++++++++++++++************))))))))))))(((((('''&&&&&&'''(((((())))))************))))))((((((((((((((((((((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$###$$$%%%&&&''''''''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%######$$$$$$$$$%%%%%%%%%######""""""###$$$&&&'''&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%%%%$$$$$$$$$$$$%%%&&&&&&'''&&&%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$########################%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$$$$######&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$#########""""""###########################$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%$$$%%%%%%&&&%%%%%%$$$$$$######$$$$$$$$$%%%%%%%%%"""###%%%%%%$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%&&&'''(((((('''%%%$$$######$$$%%%&&&&&&%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&''''''''''''%%%%%%$$$$$$$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%%%%$$$$$$""""""""""""!!!########################!!!!!!!!!!!!!!!!!!!!!!!!######$$$$$$$$$$$$##############################$$$############"""""""""########################$$$###""""""""""""###$$$#########$$$######"""!!!######"""""""""######$$$$$$############"""""""""$$$$$$%%%%%%%%%%%%$$$$$$#########$$$$$$$$$$$$%%%$$$$$$###""""""###$$$$$$"""######$$$$$$######"""##############################$$$%%%&&&''''''((($$$$$$$$$$$$$$$$$$$$$$$$ !!!"""###$$$%%%%%%%%%(((((('''&&&%%%$$$###"""###########################$$$$$$%%%%%%$$$$$$###%%%%%%%%%$$$###"""!!! %%%$$$$$$$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$&&&%%%%%%%%%%%%%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''')))(((((((((((((((((()))''''''''''''''''''''''''************************,,,,,,,,,,,,,,,,,,,,,,,,************))))))))))))&&&''')))******)))'''&&&((())))))******))))))(((''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$###$$$%%%&&&&&&''''''&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$######"""!!!!!!$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%""""""""""""###$$$%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########%%%%%%&&&&&&%%%$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$################################################$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$##########################################$$$$$$%%%%%%$$$$$$#################################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$$$$%%%%%%%%%"""###%%%%%%$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%%%%%%%&&&'''''''''&&&%%%$$$######$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&'''''''''%%%%%%$$$$$$$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%$$$#########$$$$$$$$$$$$###"""!!!$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!!!!!!!""""""""""""######$$$$$$$$$$$$##############################""""""""""""""""""!!!!!!################################################"""###$$$%%%%%%$$$###"""$$$$$$$$$######"""""""""###"""""""""""""""""""""$$$%%%%%%&&&&&&%%%%%%$$$############$$$$$$$$$$$$$$$##################$$$######$$$$$$$$$$$$##############################&&&%%%%%%%%%%%%$$$$$$$$$""""""""""""""""""""""""!!!!!!"""###$$$%%%%%%%%%'''&&&&&&%%%$$$$$$#################################$$$$$$%%%%%%$$$$$$###%%%%%%%%%$$$###"""!!!!!!$$$#########$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''')))((('''&&&&&&'''((()))&&&&&&&&&&&&&&&&&&&&&&&&************************++++++,,,,,,,,,,,,------************)))))))))(((&&&''')))++++++)))'''&&&(((((())))))))))))((((((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$#########"""$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$###############$$$$$$$$$%%%%%%%%%""""""""""""######$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$%%%%%%&&&&&&%%%%%%$$$%%%$$$$$$$$$$$$$$$$$$$$$###################################################$$$$$$%%%%%%$$$$$$###""""""""""""""""""""""""$$$$$$$$$$$$##################$$$%%%%%%%%%%%%$$$######$$$$$$$$$%%%%%%%%%"""###%%%%%%$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&''''''(((&&&%%%%%%%%%$$$$$$$$$###&&&&&&%%%%%%%%%$$$$$$$$$######$$$%%%&&&''''''((($$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$###"""$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$"""""""""######$$$$$$$$$"""######$$$$$$######"""########################%%%%%%%%%%%%%%%%%%%%%%%%##############################$$$$$$$$$$$$######"""###$$$%%%%%%$$$###"""%%%%%%$$$$$$######"""""""""""""""""""""""""""###$$$%%%%%%&&&&&&%%%%%%$$$""""""#########$$$$$$$$$#########$$$$$$#########$$$$$$%%%%%%%%%%%%$$$$$$########################$$$$$$$$$$$$############""""""""""""""""""""""""######$$$$$$$$$######"""############$$$$$$$$$$$$###########################$$$$$$%%%%%%$$$$$$###"""######$$$$$$$$$##################$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''')))((('''&&&&&&'''((()))'''''''''''''''''''''''')))))))))))))))))))))))))))*********+++++++++,,,************)))))))))((('''''''''(((((('''''''''(((((())))))))))))((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$###############$$$$$$$$$%%%%%%%%%"""#########$$$$$$$$$$$$########################%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$########################""""""######$$$%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%########################$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###################################################$$$$$$%%%%%%$$$$$$###""""""""""""""""""""""""$$$#####################"""###$$$$$$%%%%%%%%%$$$######$$$$$$$$$%%%%%%%%%"""###%%%%%%$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&''''''((((((((((((%%%%%%&&&'''&&&%%%$$$###&&&&&&%%%%%%%%%$$$$$$$$$"""######$$$%%%&&&''''''$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$###""" !!!""""""###"""""""""$$$$$$$$$$$$$$$$$$$$$$$$"""######$$$$$$%%%%%%%%%""""""############""""""#################################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%$$$######""""""######$$$#########$$$$$$%%%%%%$$$###"""""""""""""""############$$$$$$$$$%%%%%%%%%%%%$$$$$$"""""""""############$$$"""###$$$$$$$$$$$$###"""%%%%%%%%%&&&&&&%%%%%%%%%######################## !!!"""###$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""""""""""""""######$$$$$$$$$###########################$$$$$$%%%%%%$$$$$$###""""""###$$$$$$$$$$$$$$$$$$############$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&(((''''''''''''''''''((((((((((((((((((((((((((())))))))))))))))))))))))((((((((())))))******+++************))))))))))))(((''''''&&&&&&''''''((('''(((((())))))(((((('''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%###$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$$$$$$$############$$$&&&'''((($$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%########################$$$$$$%%%%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$###############$$$$$$$$$###########################$$$$$$%%%%%%$$$$$$###########################""""""##################!!!"""###$$$%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%"""###%%%%%%$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&''''''((((((''''''$$$&&&'''))))))'''%%%$$$&&&&&&%%%%%%%%%%%%$$$$$$#########$$$$$$%%%%%%%%%###$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$######"""######$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%!!!""""""###$$$$$$%%%%%%""""""############""""""######################## !!!!!!!!!""""""""""""$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###"""!!!!!!!!!""""""###$$$###$$$%%%%%%%%%$$$###"""############$$$$$$%%%%%%######$$$$$$$$$$$$######""""""""""""############"""###$$$$$$$$$$$$###"""$$$$$$%%%%%%%%%%%%$$$$$$########################!!!""""""###$$$%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$"""######$$$$$$$$$######$$$$$$$$$$$$$$$$$$#################################$$$$$$%%%%%%$$$$$$#########$$$$$$$$$######"""%%%$$$##################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''((((((''''''&&&(((((((((((((((((((((((())))))))))))))))))))))))''''''((())))))***++++++************))))))))))))((((((((((((((((((((((((''''''((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&$$$%%%%%%%%%&&&&&&&&&&&&$$$$$$%%%%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%######$$$$$$$$$%%%%%%%%%$$$%%%&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&'''&&&%%%$$$$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$$$$######"""#########$$$$$$$$$$$$""""""#########$$$$$$$$$###########################$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!""""""######$$$$$$!!!"""###$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%"""###%%%%%%$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%&&&&&&&&&%%%%%%%%%&&&)))++++++)))'''%%%&&&&&&%%%%%%%%%%%%$$$$$$############$$$$$$$$$$$$###$$$%%%&&&&&&&&&%%%%%%##############################$$$%%%%%%%%%$$$$$$&&&&&&&&&'''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% !!!!!!"""###$$$$$$$$$""""""############""""""##############################$$$$$$%%%%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%&&&&&&%%%$$$###"""!!! !!!###$$$######%%%%%%&&&%%%$$$#########$$$$$$$$$%%%%%%%%%#########$$$$$$#########""""""""""""############"""###$$$%%%%%%$$$###"""######$$$$$$$$$$$$##############################&&&&&&&&&%%%%%%%%%$$$$$$"""""""""""""""""""""""" !!!"""###$$$%%%%%%%%%((('''&&&&&&%%%$$$##############################$$$$$$$$$%%%%%%$$$$$$$$$%%%%%%%%%$$$###"""!!! %%%%%%$$$###"""""""""###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%""""""######$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&'''(((((('''&&&%%%''''''''''''''''''''''''))))))))))))))))))))))))'''(((((()))******++++++************))))))))))))((()))***++++++***)))(((''''''((((((((((((''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&'''''''''$$$$$$%%%%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$###"""""""""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%&&&######$$$$$$$$$%%%%%%%%%%%%&&&'''''''''&&&%%%$$$"""""""""######$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&***)))'''%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$#########################################################$$$$$$#########""""""######$$$$$$$$$$$$""""""######$$$$$$$$$$$$########################$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ !!!!!!"""###$$$$$$%%%!!!!!!"""$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%"""###%%%%%%$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!"""###$$$%%%$$$######%%%'''***,,,,,,***'''&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$##################$$$%%%&&&'''&&&%%%%%%########################"""###$$$%%%%%%%%%%%%%%%###$$$$$$$$$######"""!!!%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%$$$$$$###"""!!!$$$#########""""""!!!!!!########################""""""""""""############%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$##################""""""############""""""$$$$$$$$$$$$$$$###""""""""""""""""""############"""""""""""""""""""""""" !!!"""###$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&"""###$$$$$$###"""###$$$$$$$$$%%%%%%%%%%%%&&&&&&######$$$$$$$$$%%%%%%%%%######"""""""""###%%%&&&&&&&&&%%%$$$"""###&&&(((%%%%%%$$$#########$$$$$$######"""""""""###%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$""""""!!!!!!!!!!!!""""""######""""""""""""#########"""""""""$$$%%%$$$###&&&&&&&&&%%%%%%$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%%%%%%%$$$###$$$%%%'''((('''&&&$$$######$$$&&&''''''&&&%%%%%%$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''((((((((((((''''''&&&&&&&&&'''((())))))***)))))))))))))))))))))))),,,+++***((((((((()))***))))))))))))))))))))))))%%%&&&''''''((('''''''''%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''(((((('''&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################&&&%%%###"""""""""######%%%%%%$$$######$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$###"""!!!!!!%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########""""""""""""""""""""""""%%%$$$$$$######$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%$$$$$$###"""!!!!!!$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%$$$######$$$%%%%%%$$$###"""!!!!!!"""######$$$$$$############$$$$$$%%%$$$$$$######$$$$$$%%%"""############$$$$$$$$$########################$$$$$$%%%%%%%%%%%%&&&&&&######$$$$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%$$$######$$$%%%%%%###$$$%%%&&&%%%%%%###"""%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$######$$$%%%%%%%%%%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$&&&((()))&&&###%%%%%%&&&'''&&&%%%###"""$$$$$$%%%%%%%%%%%%&&&&&&###$$$$$$%%%&&&&&&&&&&&&$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$%%%&&&''''''%%%&&&&&&$$$###"""###%%%$$$$$$$$$$$$$$$$$$$$$$$$ !!!!!!"""""""""!!!!!!############"""""""""!!!########################""""""""""""############$$$$$$$$$$$$$$$$$$$$$$$$"""""""""###$$$$$$$$$%%%######$$$$$$$$$$$$######"""""""""""""""!!! """"""""""""####################################"""######$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$############$$$%%%$$$""""""###$$$$$$$$$$$$%%%%%%%%%&&&&&&######$$$$$$$$$%%%%%%%%%######"""""""""###%%%%%%&&&&&&%%%$$$"""###%%%((('''&&&%%%$$$$$$$$$$$$$$$$$$######""""""###$$$%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$######$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$""""""###$$$%%%$$$###&&&&&&&&&%%%%%%$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%&&&''''''&&&$$$######$$$&&&''''''&&&%%%%%%$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''((((((((((((''''''&&&&&&''''''((())))))***))))))))))))))))))))))))***)))((('''&&&&&&'''((())))))))))))))))))))))))&&&'''(((((())))))((((((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################'''&&&$$$#########$$$$$$%%%%%%$$$######$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$########################%%%$$$$$$######$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$#########$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%$$$######$$$%%%%%%%%%$$$###""""""###$$$$$$$$$$$$############$$$$$$%%%$$$$$$######$$$$$$%%%############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%$$$######$$$%%%%%%###$$$%%%%%%%%%%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$######$$$%%%%%%%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###%%%''''''%%%"""%%%%%%&&&&&&%%%%%%$$$###$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%&&&&&&''''''&&&&&&$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%$$$$$$$$$$$$$$$%%%$$$%%%%%%$$$""""""###$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!""""""#####################""""""""""""########################""""""""""""####################################!!!!!!"""###$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%$$$$$$"""""""""###""""""!!! """""""""#########$$$$$$########################$$$$$$$$$$$$$$$######"""#########$$$$$$%%%%%%&&&&&&%%%%%%$$$###"""!!! ###%%%%%%$$$"""!!!"""###$$$$$$$$$$$$%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%#########"""######$$$%%%%%%%%%%%%$$$######%%%'''(((((('''&&&%%%%%%$$$$$$%%%$$$$$$############$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&$$$###"""###%%%%%%%%%###&&&&&&%%%%%%%%%%%%$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&&&&&&&&&&%%%&&&&&&$$$$$$$$$$$$&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''((((((((((((''''''&&&&&&''''''((())))))))))))))))))))))))))))))))))))((((((''''''''''''((())))))))))))))))))))))))'''(((((()))))))))))))))%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&%%%$$$###$$$&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$'''&&&%%%%%%$$$$$$%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%&&&'''((()))***%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%&&&&&&%%%%%%%%%%%%$$$$$$###$$$$$$%%%&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%$$$$$$###$$$$$$%%%%%%$$$$$$############$$$$$$%%%$$$$$$######$$$$$$%%%############$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%###$$$$$$%%%%%%$$$$$$###%%%$$$$$$######$$$$$$%%%###$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$######$$$%%%&&&$$$"""&&&%%%%%%$$$$$$$$$$$$%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&'''''''''''''''&&&%%%$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%$$$$$$###"""""""""###$$$$$$###!!!!!!"""$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$$$$$$$$$$$$$#########"""""""""""""""########################!!!"""""""""############"""""""""""""""#########"""""""""###$$$$$$$$$%%%###$$$$$$$$$$$$$$$$$$###$$$$$$$$$%%%%%%$$$$$$###""""""#########$$$$$$$$$##############################$$$%%%%%%$$$$$$$$$""""""###$$$%%%%%%&&&&&&%%%%%%%%%$$$###"""""""""$$$%%%%%%$$$"""!!!"""######$$$$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%##################$$$$$$$$$%%%%%%$$$######$$$&&&))))))(((((('''%%%$$$$$$&&&%%%%%%$$$############$$$%%%%%%&&&&&&%%%%%%$$$$$$##################$$$&&&&&&%%%%%%%%%%%%&&&&&&$$$###"""###%%%&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%$$$%%%&&&''''''&&&%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''((((((((((((''''''''''''''''''(((((())))))))))))))))))))))))))))))*********))))))))))))***))))))))))))))))))))))))''''''((())))))))))))(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%###%%%%%%%%%$$$###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%&&&'''((()))***%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$#########%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$%%%$$$$$$############$$$$$$%%%$$$$$$######$$$$$$%%%#########$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%###$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$&&&%%%$$$######$$$%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&&&&'''''''''&&&%%%$$$$$$######$$$$$$$$$$$$#####################"""!!!!!!"""######"""!!!!!!"""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###""""""""""""""""""""""""##############################!!!"""""""""############!!!!!!"""""""""#########%%%$$$$$$$$$###"""""""""""""""############""""""$$$$$$%%%%%%%%%%%%$$$$$$############$$$$$$$$$$$$########################!!!!!!###$$$&&&&&&''''''""""""###$$$%%%%%%&&&&&&$$$%%%%%%%%%%%%%%%%%%%%%###$$$%%%$$$"""!!!"""############$$$$$$$$$%%%%%%######$$$$$$$$$%%%%%%%%%#########$$$###############$$$%%%$$$######$$$%%%(((((()))((((((&&&%%%$$$%%%%%%%%%%%%$$$$$$######$$$%%%%%%&&&&&&%%%%%%$$$$$$##################$$$%%%%%%$$$$$$$$$$$$%%%%%%$$$#########%%%&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%%%%&&&'''(((''''''%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''((((((((((((''''''''''''''''''(((((((((((()))))))))))))))))))))))))))))))))************)))((((((((((((((((((((((((%%%&&&''''''((((((''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&'''%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!""""""###############$$$$$$############$$$$$$%%%$$$$$$######$$$$$$%%%###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%&&&&&&%%%$$$###"""######%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%$$$###"""""""""############"""""" !!!"""############""""""######"""!!!!!!"""$$$$$$$$$$$$$$$$$$$$$$$$$$$#########""""""!!!""""""""""""####################################""""""""""""############!!!""""""######$$$$$$$$$&&&%%%%%%$$$###"""!!!!!!"""""""""######"""""""""!!!"""######$$$##################$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$ !!!"""$$$&&&'''((((((#########$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%&&&&&&&&&"""###$$$$$$###"""###$$$############$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%###$$$$$$$$$$$$###"""""""""$$$%%%$$$###"""###%%%&&&'''((((((((('''&&&%%%$$$%%%%%%&&&%%%%%%$$$###$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$############$$$$$$%%%$$$###$$$%%%&&&&&&$$$$$$$$$%%%%%%%%%%%%&&&&&&###$$$%%%%%%&&&&&&%%%%%%&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''((((((((((((''''''''''''(((((((((((((((((())))))))))))))))))))))))&&&''''''(((((((((((('''((((((((((((((((((((((((%%%&&&&&&'''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%$$$###"""###%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%""""""###$$$$$$$$$#########$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$%%%%%%%%%%%%&&&&&& !!!"""$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%###$$$$$$%%%%%%$$$$$$### !!!"""###############$$$$$$############$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$%%%%%%%%%%%%####################################$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$###$$$$$$%%%%%%$$$$$$###############$$$%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$######$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''&&&%%%%%%&&&((($$$############$$$$$$%%%$$$$$$%%%%%%%%%%%%&&&&&&###$$$$$$$$$$$$######"""""""""############"""""" """###$$$$$$######"""#########""""""###%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!!!!"""""""""!!!!!! !!!"""""""""####################################""""""""""""############""""""######$$$%%%%%%&&&%%%$$$$$$$$$###""""""""""""######$$$$$$######"""!!!"""######$$$$$$$$$############$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!"""###%%%&&&'''''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$!!!"""$$$$$$######$$$&&&############$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%###$$$$$$%%%$$$###"""!!!"""###%%%%%%###"""###$$$$$$%%%'''(((((('''&&&%%%###$$$%%%&&&&&&&&&%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$######$$$$$$$$$$$$$$$############$$$$$$%%%$$$###$$$&&&'''&&&%%%$$$$$$$$$%%%%%%&&&&&&&&&###$$$%%%%%%&&&&&&%%%%%%(((((('''&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%$$$$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''((((((((((((''''''((((((((((((((((((((('''))))))))))))))))))))))))%%%&&&'''((())))))((('''((((((((((((((((((((((((&&&&&&'''(((((((((((((((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%"""$$$%%%$$$###"""###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%%%%%%%$$$$$$###$$$%%%%%%%%%%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%&&&%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$%%%%%%&&&&&&&&& !!!"""###%%%&&&'''((($$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%###$$$%%%%%%%%%%%%$$$### !!!"""$$$%%%%%%$$$$$$$$$$$$############$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%###$$$%%%%%%%%%%%%$$$##################%%%&&&'''###########################$$$%%%%%%%%%%%%$$$#########$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''%%%######%%%(((""""""###$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&######$$$%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$!!!"""###%%%%%%$$$"""!!!"""###$$$#########%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$!!!"""###$$$$$$%%%%%%$$$!!!!!!""""""#########$$$########################""""""""""""############""""""###$$$%%%%%%&&&&&&###############$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$###$$$%%%&&&&&&&&&&&&&&&######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$###"""!!!!!! !!!#########$$$%%%'''"""############$$$$$$$$$######$$$$$$$$$%%%%%%%%%###$$$%%%%%%$$$###"""!!!"""###%%%%%%###"""###$$$"""$$$&&&'''((((((&&&%%%"""###%%%&&&'''&&&&&&%%%$$$%%%%%%&&&&&&%%%%%%$$$""""""!!!!!!!!!!!!""""""%%%$$$$$$######$$$$$$%%%%%%$$$###$$$&&&'''&&&%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$%%%&&&&&&&&&%%%%%%)))((('''&&&%%%%%%&&&'''$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''((((((((((((''''''((((((((((((((('''''''''))))))))))))))))))))))))'''((()))+++++++++***)))(((((((((((((((((((((((('''(((((()))))))))))))))%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''(((((('''&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%"""$$$$$$$$$###"""###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%"""###%%%&&&'''&&&&&&%%%###$$$%%%&&&&&&%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$%%%&&&&&&'''%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%###$$$%%%&&&&&&%%%$$$###!!!"""$$$%%%&&&&&&%%%%%%$$$$$$############$$$$$$%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%"""############$$$$$$$$$######$$$$$$$$$%%%%%%%%%&&&''''''((((((''''''&&&###$$$%%%&&&&&&%%%$$$#########""""""###%%%&&&(((###########################$$$%%%&&&&&&%%%$$$############$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&$$$"""!!!$$$'''!!!"""###%%%%%%%%%$$$###$$$$$$%%%%%%%%%&&&&&&&&&###$$$%%%%%%&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%###$$$%%%&&&%%%###!!! ###$$$%%%$$$######%%%'''$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$$$$######%%%$$$###"""""""""###$$$#########$$$%%%%%%&&&&&&$$$$$$%%%&&&&&&&&&&&&%%%&&&%%%$$$$$$######$$$$$$%%%###"""###$$$$$$###"""""""""""""""############'''%%%###!!!!!!###%%%'''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$%%%%%%$$$$$$$$$########################%%%%%%%%%$$$$$$"""!!!!!!########################&&&%%%%%%$$$#########$$$###$$$$$$%%%%%%&&&''''''###$$$%%%&&&'''&&&%%%%%%$$$$$$$$$############"""$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$'''&&&$$$######$$$&&&'''%%%%%%%%%&&&&&&&&&''''''(((%%%$$$%%%'''(((&&&$$$%%%###"""$$$'''(((&&&###((((((((((((((((((((((((((((((''''''''''''((((((''''''((((((((((((''''''(((((()))***************************************))))))))))))(((((((((((()))(((&&&%%%&&&''')))***)))((('''&&&%%%&&&&&&'''%%%&&&&&&''''''&&&&&&%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""############$$$$$$$$$###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$##################$$$$$$%%%&&&&&&%%%%%%%%%$$$$$$#################################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""""""""""""""'''&&&$$$######$$$&&&'''&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&###$$$$$$%%%%%%$$$$$$######$$$%%%&&&'''&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########%%%$$$$$$$$$###"""""""""$$$$$$$$$$$$$$$$$$$$$$$$$$$ !!!$$$$$$###!!!"""$$$&&&'''''''''&&&"""###$$$%%%&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%)))------)))%%%######$$$%%%%%%&&&&&&%%%%%%$$$###$$$$$$%%%%%%$$$$$$############$$$$$$%%%%%%%%%%%%%%%$$$###""""""######"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%$$$###""""""$$$&&&'''$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""""""""""""""$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$$$$######$$$######""""""###$$$%%%######""""""""""""""""""!!!"""######$$$$$$######%%%$$$######""""""######$$$###"""###$$$$$$###"""""""""""""""############&&&%%%###""""""###%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$$$$##############################"""######$$$$$$$$$##############################&&&%%%$$$$$$######$$$$$$######$$$$$$%%%&&&&&&&&&###$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$############&&&%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$'''&&&$$$######$$$&&&'''%%%%%%%%%&&&&&&&&&'''''''''&&&$$$%%%'''(((&&&$$$'''&&&%%%&&&((((((((('''''''''''''''''''''''''''((((((''''''''''''((((((''''''((((((((((((''''''(((((()))***************************************(((((((((((('''''''''''')))(((&&&%%%%%%&&&'''((('''&&&%%%$$$###$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$##################%%%%%%%%%$$$$$$$$$##############################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$'''&&&$$$######$$$&&&'''&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&###$$$$$$%%%%%%$$$$$$######$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$%%%###!!!!!!$$$&&&&&&%%%"""###%%%&&&&&&&&&&&&%%%"""###$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%(((+++,,,***'''%%%$$$"""######$$$$$$######"""###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$###""""""######"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%$$$###""""""$$$&&&'''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$$$$#########"""""""""###$$$%%%%%%$$$$$$######"""!!!!!! !!!!!!"""############"""$$$###""""""!!!!!!""""""$$$###"""###$$$%%%$$$""""""""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###"""##################"""######################## !!!"""###$$$%%%%%%%%%########################%%%%%%$$$$$$######$$$$$$""""""######$$$%%%%%%%%%###$$$%%%&&&&&&&&&%%%%%%%%%$$$$$$$$$############'''&&&&&&%%%$$$###""""""#########$$$$$$%%%%%%&&&%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&$$$$$$$$$$$$&&&&&&%%%%%%%%%&&&&&&&&&'''''''''&&&%%%%%%''''''&&&%%%&&&''''''&&&%%%&&&(((***''''''''''''''''''''''''((((((''''''''''''((((((''''''((((((((((((''''''((())))))************)))))))))))))))))))))))))))''''''''''''&&&&&&&&&&&&)))((('''%%%%%%%%%&&&'''&&&%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%%%%######$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$###""""""!!!!!!%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&###$$$$$$%%%%%%$$$$$$######$$$$$$%%%&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$&&&''''''&&&$$$%%%%%%&&&&&&%%%%%%$$$"""######$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&'''***,,,+++(((&&&"""######$$$$$$######"""###$$$$$$%%%%%%$$$$$$###%%%%%%$$$$$$$$$$$$$$$$$$%%%$$$######"""#########"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%$$$#########$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$$$$######!!!!!!"""######$$$%%%&&&%%%%%%%%%$$$$$$$$$######"""###$$$$$$%%%%%%$$$$$$$$$$$$###"""""""""""""""$$$"""""""""$$$%%%$$$###""""""#########$$$$$$$$$###$$$%%%%%%%%%%%%$$$###########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###""""""############""""""########################!!!"""###$$$$$$$$$$$$$$$########################%%%%%%$$$$$$###$$$$$$%%%!!!""""""######$$$%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$#########%%%%%%%%%$$$$$$#########""""""###$$$%%%%%%&&&&&&%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&$$$&&&&&&$$$!!!"""&&&***''''''''''''''''''''''''(((''''''&&&&&&''''''(((''''''((((((((((((''''''((()))************))))))((((((((((((((((((((((((((((((((('''''''''&&&&&&******((('''&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&%%%%%%%%%"""######$$$$$$######"""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%#########$$$$$$%%%%%%%%%$$$$$$$$$$$$######""""""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&###$$$$$$%%%%%%$$$$$$#########$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$%%%&&&%%%$$$&&&&&&&&&&&&%%%$$$$$$$$$###$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$%%%(((,,,---***'''$$$%%%%%%&&&&&&%%%%%%$$$###$$$$$$%%%%%%$$$$$$###%%%%%%%%%$$$$$$#########$$$$$$###############$$$""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$#########$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$$$$######!!!!!!"""###$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%######$$$%%%%%%%%%%%%%%%%%%%%%$$$############$$$###"""!!!"""$$$%%%$$$###############$$$$$$$$$$$$"""###%%%&&&&&&%%%###"""########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###""""""############""""""#################################$$$$$$$$$##############################%%%$$$$$$###$$$$$$%%%%%%!!!""""""######$$$%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$############$$$$$$%%%%%%%%%""""""###$$$%%%%%%&&&&&&%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&&&&&&&%%%&&&&&&$$$&&&&&&$$$!!!"""&&&***''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''''''''((((((((((((''''''))))))*********))))))((('''''''''''''''''''''''')))))))))(((((((((''''''+++***)))(((''''''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&$$$%%%%%%%%%%%%%%%%%%$$$"""######$$$$$$######"""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%#########$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%%%%&&&&&&###$$$$$$%%%%%%$$$$$$###############$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$!!!###$$$%%%%%%%%%%%%&&&'''&&&&&&%%%$$$$$$$$$$$$$$$%%%&&&&&&'''&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######'''+++---***'''$$$%%%%%%&&&&&&%%%%%%$$$###$$$$$$%%%%%%$$$$$$###%%%%%%%%%$$$$$$#########$$$###############$$$$$$""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$###$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$$$$######!!!"""###$$$$$$$$$$$$$$$ !!!!!!"""######$$$$$$""""""###$$$$$$$$$$$$###&&&%%%%%%$$$###$$$$$$$$$###"""!!!"""$$$%%%%%%$$$#########$$$$$$$$$$$$%%%###$$$%%%&&&&&&%%%$$$###########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###"""##################"""##############################$$$$$$$$$######"""########################$$$$$$######$$$$$$%%%%%%""""""######$$$%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&'''%%%%%%%%%%%%$$$$$$$$$$$$""""""###$$$%%%&&&&&&'''#########$$$$$$%%%%%%&&&%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%&&&''''''%%%%%%&&&'''&&&''''''&&&%%%&&&(((***&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''''''''(((((((((((('''''')))************))))))(((((((((((((((((((((((((((***)))))))))(((((((((((()))))))))(((((('''&&&&&&"""######$$$$$$$$$$$$###$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%&&&''''''(((###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$########################%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&###$$$$$$%%%%%%$$$$$$###$$$############$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###%%%&&&&&&&&&&&&''')))'''&&&%%%%%%$$$$$$$$$%%%$$$%%%&&&'''(((((((((((($$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$&&&((()))((('''"""######$$$$$$######"""###$$$$$$%%%%%%$$$$$$###%%%%%%$$$$$$$$$$$$$$$$$$#########"""######$$$%%%"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$%%%%%%$$$###"""###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$$$$######"""###$$$$$$$$$$$$###"""""""""""""""""""""############$$$%%%%%%%%%%%%$$$%%%$$$$$$###############"""!!!!!!"""$$$&&&%%%$$$#########$$$$$$$$$%%%%%%$$$$$$$$$%%%%%%$$$$$$$$$################################################$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$$$$##############################!!!"""###$$$$$$$$$$$$$$$########################$$$$$$######$$$$$$%%%&&&######$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%&&&'''&&&&&&%%%%%%%%%$$$$$$$$$#########$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&''''''$$$&&&((('''%%%$$$&&&''''''&&&%%%&&&((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''''''''((((((((((((''''''***************)))(((((((((((((((((((((((((((((())))))((((((((('''''''''&&&&&&&&&&&&&&&&&&%%%%%%!!!"""###$$$%%%$$$$$$###$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%%%%&&&&&&###$$$$$$%%%%%%$$$$$$###$$$###"""""""""###%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###%%%&&&%%%###$$$'''***'''&&&%%%$$$$$$$$$%%%&&&"""###$$$&&&'''(((((()))$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""$$$&&&&&&%%%%%%%%%&&&"""######$$$$$$######"""###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$%%%%%%######""""""###$$$$$$%%%"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%######$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$%%%%%%$$$###"""######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$##############################$$$$$$$$$$$$######"""###$$$%%%%%%$$$"""!!!&&&&&&%%%%%%$$$#########%%%&&&''''''((((((''''''$$$######""""""""""""""""""!!!!!!"""$$$&&&%%%$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""""""""""""""########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$######################## !!!###%%%&&&&&&&&&########################$$$#########$$$%%%%%%&&&###$$$$$$%%%%%%&&&''''''&&&%%%$$$###$$$%%%&&&'''&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&''''''$$$&&&((('''%%%$$$%%%(((%%%###"""$$$'''(((&&&###&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''''''''((((((((((((''''''***************)))(((((())))))))))))))))))))))))(((((('''''''''&&&&&&&&&######$$$%%%%%%%%%$$$$$$###$$$%%%&&&'''&&&&&&%%%$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((($$$$$$$$$%%%%%%$$$$$$$$$######$$$$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$#########&&&&&&%%%$$$$$$##################$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$%%%%%%$$$$$$$$$$$$###"""""""""###%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""######""" !!!%%%)))&&&%%%$$$$$$$$$%%%&&&''' !!!###%%%'''(((((()))$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""%%%'''&&&###!!!###%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%$$$$$$$$$#########$$$$$$%%%%%%&&&######""""""###$$$%%%%%%"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%######$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!"""$$$%%%%%%$$$"""!!!#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################&&&!!!!!!''')))%%% !!!!!!"""###$$$$$$$$$################################################%%%%%%%%%$$$$$$$$$$$$###!!!!!!!!!!!!""""""""""""###########################$$$$$$$$$$$$###""""""""""""""""""""""""""""""""""""###"""!!!$$$$$$$$$$$$$$$$$$$$$$$$&&&$$$!!!!!!###$$$$$$$$$!!!!!!!!!!!!""""""""""""$$$$$$$$$$$$$$$$$$$$$$$$###!!!!!!$$$%%%%%%&&&%%%###"""""""""######$$$$$$$$$$$$$$$$$$$$$$$$"""$$$%%%%%%###""""""###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%%%%%%%%%%%%%########################'''&&&&&&%%%%%%$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&&&&%%%%%%%%%%%%&&&$$$"""###&&&(((&&&$$$''''''&&&&&&&&&%%%%%%%%%''''''''''''''''''''''''&&&&&&''''''''''''''''''&&&%%%%%%$$$$$$%%%%%%&&&''''''''''''(((((((((((((((((((((((('''&&&%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%&&&'''''''''&&&%%%%%%$$$!!!"""$$$&&&'''&&&$$$###$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$$$$&&&&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$###############$$$%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%$$$###&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%###!!!!!!"""###$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$%%%%%%########################$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%""""""###$$$%%%%%%&&&&&&&&&%%%%%%&&&(((((($$$!!!$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$%%%%%%&&&&&&&&&&&&%%%$$$############%%%%%%%%%$$$$$$###############$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###"""######$$$$$$######"""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########%%%$$$$$$######$$$$$$%%%########################%%%"""!!!###&&&'''%%%"""!!!!!!!!!"""###$$$$$$$$$############################################################"""""""""""""""""""""############$$$######################## !!!"""###$$$%%%%%%%%%########################!!!"""###$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$%%%###"""!!!###$$$$$$############$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$""" """$$$%%%&&&%%%%%%###"""""""""######$$$$$$$$$$$$$$$$$$$$$$$$"""###%%%%%%###"""######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$&&&%%%###$$$'''((('''%%%''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&))))))((((((((((((((((((&&&&&&%%%%%%%%%%%%&&&&&&''''''''''''(((((((((((())))))))))))((('''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%&&&&&&''''''&&&%%%%%%$$$"""###$$$%%%&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$############$$$%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%$$$###$$$$$$%%%###$$$$$$$$$%%%%%%%%%%%%###$$$%%%&&&'''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$######""""""##############################$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%&&&%%%'''(((%%%""""""%%%)))$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""######$$$%%%%%%&&&&&&$$$$$$$$$###$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$############$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%%%%%%%%%%%%%!!!!!!""""""###$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$#########""""""""""""#########$$$$$$$$$%%%%%%######################## !!!"""###$$$%%%%%%%%%########################"""###$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%###""""""###$$$$$$### !!!!!!!!!"""""""""$$$$$$$$$$$$$$$$$$$$$$$$%%%###!!!!!!###%%%&&&&&&%%%$$$######"""#########$$$$$$$$$$$$$$$$$$$$$$$$!!!###%%%%%%###"""###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&&&&%%%$$$$$$'''&&&%%%&&&(((((((((&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++++******)))))))))(((''''''''''''''''''''''''''''''''''''((((((((((((************)))((('''&&&''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###########################$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$############%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###$$$$$$%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&$$$$$$$$$$$$%%%%%%%%%%%%###$$$&&&'''(((''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$######""""""######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&########################$$$$$$$$$$$$$$$$$$$$$$$$&&&$$$%%%***000222///+++$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%&&&############$$$%%%&&&'''%%%%%%%%%$$$$$$$$$$$$#########$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$"""%%%''''''%%%$$$%%%'''"""""""""######$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%$$$$$$$$$############$$$$$$$$$%%%###########################$$$$$$$$$$$$###""""""########################%%%%%%$$$$$$###"""!!!!!!$$$$$$$$$$$$$$$$$$$$$$$$%%%###""""""$$$$$$$$$""" $$$$$$$$$$$$$$$$$$$$$$$$%%%###""""""$$$&&&&&&%%%$$$$$$##################$$$$$$$$$$$$$$$$$$$$$$$$!!!###$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%% """$$$&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&''''''''''''&&&%%%''''''''''''((((((((((((''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%++++++******)))(((((((((''''''((((((((((((''''''''''''''''''(((((((((((()))))))))))))))((('''&&&''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%$$$'''&&&%%%$$$$$$$$$$$$$$$&&&%%%%%%%%%$$$#########%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$$$$&&&&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((('''%%%######$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$))) 111IIIOOO<<<&&&$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%$$$#########$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$!!!%%%((('''$$$###%%%(((############$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%%%%%%%$$$"""""""""#########$$$$$$###########################$$$$$$$$$$$$###""""""########################%%%%%%$$$######"""""""""$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""###$$$%%%###"""""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$"""###%%%&&&%%%$$$############$$$#########$$$$$$$$$$$$$$$$$$$$$$$$ """$$$$$$######$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%% """$$$&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$%%%&&&''''''$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&'''((())))))((('''&&&''''''(((((((((((())))))''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&))))))((((((((('''''''''''''''((())))))(((''''''''''''''''''((((((((((((''''''((((((((('''&&&&&&''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&%%%%%%$$$''''''&&&%%%$$$$$$$$$%%%'''''''''&&&%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$$$$&&&&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((('''%%%######$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&&&&&&&%%%%%%'''''''''''''''&&&&&&&&&***(((%%%######$$$&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$)))000IIIOOO<<<&&&$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$$$$%%%%%%&&&%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%!!!$$$'''&&&$$$###%%%'''$$$$$$$$$$$$$$$$$$$$$$$$########################%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$############"""""""""############$$$######################## !!!"""###$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%&&&(((((($$$$$$$$$$$$$$$$$$$$$$$$$$$###"""###%%%%%%###!!!"""""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""###%%%%%%$$$###""""""###$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$ """$$$$$$$$$###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%&&&''''''$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&((()))***)))'''&&&&&&'''((((((''''''(((***''''''&&&&&&&&&%%%%%%%%%''''''''''''''''''''''''&&&&&&&&&&&&''''''''''''&&&'''((())))))((('''&&&''''''''''''((((((((((((&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$######$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$%%%%%%%%%''''''''''''&&&&&&&&&&&&)))'''$$$""""""###%%%'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$######""""""######%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%###$$$)))///111...***$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$'''&&&%%%$$$###############$$$$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$########################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$##################$$$$$$$$$%%%%%%######################## !!!"""###$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$############$$$&&&'''((($$$$$$$$$$$$$$$$$$$$$$$$#########$$$%%%%%%###!!!!!!!!!!!!!!!""""""""""""$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""###$$$$$$###!!!!!!"""###$$$%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$ """$$$$$$$$$###$$$&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%"""$$$&&&(((((('''&&&$$$%%%'''((((((&&&&&&'''***''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&''''''((((((%%%&&&((())))))(((&&&%%%''''''''''''((((((((((((''''''((((((((((((''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$############$$$%%%%%%%%%%%%%%%$$$%%%&&&'''''''''&&&%%%%%%%%%&&&&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''&&&&&&%%%%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$#########$$$&&&'''&&&&&&%%%%%%%%%$$$$$$$$$""""""###$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$######""""""######%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%&&&###%%%&&&$$$!!! $$$'''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$###$$$$$$$$$######$$$$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""######$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%""""""######$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$########################%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&###########################$$$$$$$$$$$$###""""""$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""!!!!!!!!!"""###$$$$$$$$$$$$$$$$$$$$$$$$###"""###$$$%%%%%%###!!!$$$%%%%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$###"""""""""$$$$$$""" !!!"""###$$$%%%%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$ """$$$$$$$$$$$$%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%%%%%%%%%%%%%########################$$$$$$%%%%%%%%%%%%&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&& """$$$&&&'''&&&$$$###$$$&&&((((((&&&%%%''')))''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&'''((())))))%%%&&&'''))))))'''&&&%%%''''''''''''((((((((()))(((((()))))))))))))))((($$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%########################%%%%%%%%%$$$$$$#########"""###$$$%%%%%%%%%%%%%%%"""$$$&&&(((((((((&&&%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%&&&''''''(((%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''%%%%%%&&&&&&&&&%%%$$$###&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%#########%%%'''((($$$$$$$$$######""""""""""""&&&((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&########################""""""###$$$%%%%%%&&&&&&$$$######$$$&&&&&&### $$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$%%%&&&&&&#########$$$$$$%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$#########$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%$$$###""""""###$$$%%%######$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$######$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$#########$$$$$$#########"""!!!!!!!!!""""""############""""""%%%$$$"""!!!"""###"""!!!""""""""""""""""""""""""""""""""""""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$############$$$$$$$$$%%%%%%%%%$$$$$$&&&&&&&&&&&&$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&)))(((&&&%%%$$$$$$%%%%%%''''''''''''''''''''''''&&&%%%%%%%%%%%%&&&''''''&&&&&&''''''(((((())))))''''''''''''''''''''''''))))))))))))))))))))))))''''''''''''''''''''''''%%%&&&'''&&&$$$###$$$%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$#########$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&'''''''''%%%$$$"""!!!!!!"""$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%$$$$$$######$$$$$$%%%%%%%%%$$$$$$$$$%%%&&&&&&&&&'''''''''''''''''''''***)))'''%%%###!!! &&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''''''''''''''''''''''''''(((((((((((((((&&&&&&&&&%%%%%%$$$$$$$$$'''&&&%%%$$$$$$%%%&&&'''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%###%%%&&&&&&%%%%%%'''((((((((('''&&&%%%%%%$$$$$$$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$###"""%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$((('''%%%#########%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$%%%&&&'''(((&&&&&&&&&%%%%%%$$$$$$$$$##############################$$$$$$$$$%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$#########$$$%%%$$$$$$&&&''''''%%%######$$$$$$%%%%%%$$$$$$###%%%%%%$$$$$$$$$$$$%%%%%%######$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$######"""""""""###$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$######&&&$$$""""""###$$$##############################""""""""""""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$############$$$$$$$$$%%%%%%%%%$$$$$$%%%&&&&&&%%%$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&&&&&&&&&&((('''&&&$$$######$$$$$$''''''''''''''''''''''''&&&%%%%%%%%%%%%&&&'''''''''''''''(((((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''%%%&&&'''&&&$$$###$$$%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&'''&&&%%%######%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&%%%$$$$$$$$$$$$(((((('''''''''&&&&&&&&&(((''''''&&&%%%$$$######&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''((((((''''''&&&&&&%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$&&&'''&&&%%%%%%&&&''''''&&&&&&%%%$$$$$$######$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%((('''%%%######$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$%%%&&&'''(((&&&%%%%%%%%%%%%%%%%%%$$$##############################$$$$$$$$$%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%$$$$$$#########$$$%%%$$$$$$%%%''''''%%%######$$$$$$%%%%%%$$$$$$###%%%%%%%%%&&&&&&%%%%%%%%%######$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$############$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###""""""!!!"""""""""%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%$$$$$$%%%$$$######$$$&&&%%%$$$########################"""""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$############$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$$$$%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%)))((((((''''''&&&%%%%%%'''&&&%%%$$$#########$$$''''''''''''''''''''''''&&&%%%%%%%%%%%%&&&''''''((((((((((((((('''''''''))))))))))))))))))))))))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&'''&&&$$$###$$$%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%'''&&&%%%$$$$$$%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%''''''&&&&&&&&&&&&'''''')))((('''%%%$$$$$$######(((((((((''''''&&&&&&%%%%%%%%%&&&&&&'''''''''(((&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''(((((('''&&&%%%$$$$$$###&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''''''''%%%$$$%%%&&&%%%%%%%%%$$$$$$######"""$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%$$$###$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''$$$%%%%%%%%%%%%%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%"""###$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$############$$$%%%$$$$$$%%%&&&&&&%%%######$$$$$$%%%%%%$$$$$$######$$$%%%&&&&&&%%%$$$#########$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######"""""""""######$$$%%%%%%%%%&&&&&&''''''$$$$$$%%%%%%%%%%%%$$$$$$$$$###""""""$$$&&&%%%%%%########################""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$############$$$$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$''''''''''''&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$''''''''''''''''''''''''&&&%%%%%%%%%%%%&&&''''''))))))((((((''''''&&&&&&((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&'''&&&$$$###$$$%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%%%%$$$############$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%''''''&&&&&&&&&&&&''''''((('''&&&%%%%%%%%%%%%%%%&&&'''''''''''''''''''''$$$%%%%%%&&&''''''((((((&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%$$$%%%&&&''''''&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((('''%%%$$$$$$&&&&&&%%%%%%%%%$$$$$$######$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%######$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###############$$$%%%$$$###$$$%%%&&&$$$######$$$$$$%%%%%%$$$$$$###"""###$$$%%%%%%$$$###"""######$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%######$$$$$$%%%%%%&&&&&&######$$$$$$$$$$$$#########""" !!!###$$$$$$$$$####################################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$############$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%&&&''''''''''''''''''''''''&&&&&&&&&''''''''''''''''''''''''&&&%%%%%%%%%%%%&&&''''''))))))((((((''''''&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&'''&&&$$$###$$$%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&''''''((($$$%%%%%%&&&'''((())))))%%%%%%%%%%%%&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&''''''((((((((()))&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&''''''&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((('''%%%$$$$$$&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$#########""""""###$$$$$$%%%$$$######$$$%%%$$$######$$$$$$%%%%%%$$$$$$###"""######$$$$$$######"""######$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$""""""###$$$$$$###""""""$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&############$$$$$$$$$$$$######$$$$$$$$$$$$#########""" !!!"""######"""$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$############$$$$$$$$$%%%%%%%%%$$$$$$############$$$$$$######$$$$$$$$$%%%%%%%%%$$$######""""""######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%!!!"""###$$$&&&'''((((((''''''(((((((((((('''&&&''''''''''''''''''''''''&&&%%%%%%%%%%%%&&&''''''((((((((((((((('''''''''''''''''''''''''''''''''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''&&&$$$###$$$%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%&&&((()))***$$$%%%%%%&&&'''((())))))%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%&&&&&&'''((()))******&&&&&&&&&&&&''''''''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%'''''''''%%%$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%%%%%%%&&&''''''''''''&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###""""""""""""###$$$$$$%%%$$$""""""$$$%%%$$$######$$$$$$%%%%%%$$$$$$###%%%$$$$$$######$$$$$$%%%######$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$!!!"""###$$$$$$###"""!!!$$$$$$$$$$$$$$$$$$$$$$$$###############$$$%%%%%%$$$$$$$$$$$$############$$$$$$%%%%%%%%%%%%$$$$$$%%%$$$""""""###$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$############$$$$$$$$$%%%%%%%%%%%%$$$###""""""###$$$%%%######$$$$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%&&&'''((((((%%%&&&'''(((((('''&&&&&&''''''''''''''''''''''''&&&%%%%%%%%%%%%&&&'''''''''''''''(((((((((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''&&&$$$###$$$%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&'''((()))''''''''''''''''''''''''%%%%%%&&&&&&''''''''''''''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&''''''(((((((((&&&&&&&&&&&&'''''''''(((&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''$$$&&&'''&&&%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%&&&%%%%%%$$$&&&%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$%%%&&&&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""""""""""""""###$$$$$$&&&$$$""""""###$$$$$$$$$###$$$$$$%%%%%%$$$$$$###'''&&&$$$$$$$$$$$$&&&'''######$$$$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$!!!"""###$$$$$$###"""!!!$$$$$$$$$$$$$$$$$$$$$$$$""""""!!!""""""###$$$$$$%%%%%%%%%$$$$$$#########%%%&&&&&&''''''&&&&&&%%%'''%%%######$$$$$$$$$"""$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$############$$$$$$$$$%%%%%%%%%%%%$$$###""""""###$$$%%%######$$$$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''$$$%%%&&&'''''''''&&&%%%''''''''''''''''''''''''&&&%%%%%%%%%%%%&&&''''''&&&'''''''''(((((())))))))))))))))))))))))))))))%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''&&&$$$###$$$%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%((((((''''''''''''(((((((((''''''&&&&&&&&&''''''***)))((('''&&&%%%$$$$$$%%%%%%&&&'''((()))******''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&'''''''''((((((''''''%%%$$$$$$%%%''''''''''''''''''''''''''''''''''''''''''''''''''''''$$$%%%&&&&&&%%%%%%'''((($$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&###$$$%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$%%%&&&%%%$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%######$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""!!!""""""###$$$$$$&&&$$$"""!!!###$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$%%%%%%$$$######""""""!!!%%%&&&'''%%%"""!!!###%%%$$$#########""""""!!!!!!######$$$$$$$$$$$$######!!!""""""!!!!!!!!!$$$&&&'''$$$""""""###### '''%%%###!!!!!!###%%%'''%%%%%%%%%%%%%%%$$$###"""######""""""""""""""""""###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$%%%&&&'''((($$$$$$$$$$$$$$$$$$$$$$$$""""""#########$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########&&&&&&%%%%%%%%%%%%$$$$$$'''&&&%%%###"""!!!!!!!!!%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$###''''''&&&%%%&&&'''((()))%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%$$$$$$$$$$$$%%%&&&&&&((((((((((((((((((((((((&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&)))((('''&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%((('''&&&%%%$$$%%%&&&&&&&&&'''((()))((('''%%%$$$&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&,,,)))%%%%%%&&&'''&&&$$$&&&'''''''''&&&%%%%%%$$$(((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''(((&&&%%%%%%&&&'''%%%$$$%%%%%%%%%&&&&&&&&&''''''((((((((((((((((((((((((***((('''&&&&&&'''(((***%%%&&&''''''((((((''''''''''''&&&%%%%%%'''((()))''''''''''''''''''&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%***))))))((('''&&&&&&&&&(((((())))))((('''&&&&&&(((((('''''''''&&&&&&&&&******))))))((((((((((((((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''(((((('''&&&&&&%%%%%%&&&&&&'''((('''&&&&&&'''((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&$$$%%%'''(((((('''%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$!!!""""""""""""#########%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%""""""###$$$$$$$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###""""""###$$$%%%$$$$$$$$$$$$$$$###"""!!!$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$&&&'''(((((((((%%%'''(((&&&###"""###%%%$$$$$$$$$$$$#########"""######$$$$$$$$$$$$#########$$$$$$"""!!!!!!###%%%%%%###!!!"""$$$$$$###!!!&&&%%%###""""""###%%%&&&%%%%%%%%%%%%%%%$$$###"""""""""""""""###$$$$$$%%%###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$$$$$$$%%%''''''&&&&&&%%%%%%$$$$$$###############$$$$$$$$$$$$%%%######$$$$$$$$$%%%%%%%%%########################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$###&&&&&&%%%%%%&&&&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&''''''((()))'''''''''''''''''''''''')))))))))))))))))))))(((&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$%%%&&&'''((('''''''''''''''&&&%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&***'''$$$$$$%%%&&&%%%###&&&&&&''''''&&&&&&%%%$$$''''''''''''&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&%%%((('''%%%&&&''''''&&&$$$%%%%%%&&&&&&&&&'''''''''(((((((((((((((((((((((()))((('''&&&&&&'''((()))%%%&&&''''''(((((('''''''''&&&&&&&&&&&&'''((((((''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&((((((''''''&&&%%%%%%$$$((((((((((((((('''&&&&&&(((((('''''''''&&&&&&&&&&&&&&&'''&&&&&&%%%%%%$$$((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''((((((%%%%%%$$$$$$$$$$$$%%%%%%((('''&&&&&&'''((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&&&&%%%%%%&&&&&&$$$%%%'''(((((('''%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$$$$%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###""""""###$$$%%%$$$$$$$$$$$$$$$###""""""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&%%%$$$""" %%%'''((('''%%%######$$$%%%%%%%%%$$$$$$$$$$$$$$$######$$$$$$$$$$$$######%%%&&&&&&$$$"""!!!"""$$$###""""""###%%%&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$######"""""""""###$$$%%%''''''###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&(((((('''&&&%%%$$$######$$$$$$$$$$$$%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%########################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%$$$$$$%%%%%%&&&'''$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%$$$$$$$$$$$$%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''''''''(((((('''''''''%%%%%%%%%&&&&&&&&&'''''''''''''''&&&''''''((()))''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%$$$$$$###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&'''))))))'''&&&&&&%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&(((&&&$$$$$$$$$%%%$$$###&&&&&&''''''&&&&&&%%%%%%'''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((((((''''''&&&%%%%%%%%%((('''&&&&&&''''''&&&$$$%%%&&&&&&&&&&&&'''''''''(((((((((((((((((((((((()))((('''&&&&&&'''((()))&&&&&&'''(((((((((((('''&&&&&&'''(((((((((((('''''''''''''''''''''''''''''''''((((((((((((''''''))))))((((((''''''&&&&&&(((((((((((((((''''''&&&(((((((((''''''''''''&&&'''((()))***)))((('''&&&((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&'''((((((%%%%%%$$$$$$$$$$$$%%%%%%((('''&&&&&&'''((('''&&&''''''''''''''''''''''''((('''&&&&&&%%%&&&&&&&&&%%%&&&'''(((((('''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%&&&&&&%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$###"""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&%%%###%%%&&&&&&&&&%%%###""""""$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$$$$######%%%%%%&&&%%%###"""###$$$$$$######$$$%%%%%%%%%%%%###$$$%%%%%%%%%%%%$$$###$$$$$$%%%%%%%%%$$$$$$###$$$$$$$$$$$$%%%%%%&&&'''###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%#################################$$$$$$$$$%%%%%%'''''''''&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$''''''&&&$$$$$$#########$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$"""###$$$%%%&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''((((((((((((''''''%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''''''''''''''&&&%%%$$$$$$#########$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''(((((('''&&&%%%$$$###$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%%%%%%%%%%%%%$$$%%%&&&&&&'''&&&&&&%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&((('''&&&&&&''''''&&&%%%&&&&&&&&&&&&''''''''''''(((((((((((((((((((((((()))(((''''''''''''((()))&&&&&&'''(((((((((((((((%%%&&&((()))))))))((('''''''''''''''(((((((((((())))))(((((((((((())))))++++++++++++******))))))'''(((((((((((((((''''''((((((((('''''''''''''''((()))***++++++***((('''(((((((((((((((((((((((('''''''''''''''''''''''''''&&&&&&&&&&&&'''((((((((((((''''''''''''(((((((((&&&&&&&&&'''((('''&&&(((((((((((((((((((((((((((((('''&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""###%%%''''''&&&$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$######$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&'''''''''&&&&&&%%%%%%$$$$$$$$$###"""!!!""""""########################$$$$$$$$$$$$######"""###%%%%%%$$$$$$%%%&&&%%%%%%%%%%%%$$$######$$$"""###%%%&&&&&&%%%###"""###$$$$$$%%%%%%%%%$$$$$$''''''&&&%%%$$$$$$$$$%%%###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%##############################$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&'''''''''$$$$$$%%%%%%%%%&&&&&&&&&######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$&&&%%%$$$######"""###############$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%%%%!!!"""$$$%%%&&&%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''((((((((((((''''''%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%%%%%%%&&&''''''''''''''''''''''''''''''''''''(((((())))))))))))''''''''''''''''''''''''%%%%%%$$$#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&%%%'''&&&%%%$$$###$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&&&&&&&%%%%%%&&&&&&'''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''((()))))))))'''&&&&&&'''(((&&&%%%&&&&&&&&&'''''''''((((((((((((((((((((((((((((((((((((''''''''''''((((((&&&'''(((((())))))((((((%%%&&&((()))))))))(((''''''''''''((((((((())))))***)))(((((((((((()))***+++++++++++++++*********''''''((((((((((((((('''((((((((((((((((((((((((%%%%%%&&&'''''''''&&&%%%(((((((((((((((((((((((('''''''''''''''''''''''''''&&&&&&&&&&&&'''(((((()))((((((''''''(((((()))(((&&&&&&&&&'''((('''&&&(((((((((((((((((((((((((((((('''&&&&&&&&&&&&'''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$"""###%%%'''((('''%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%$$$$$$$$$###$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''(((&&&######$$$$$$###""""""""""""""""""###############$$$$$$$$$$$$###### """$$$%%%$$$$$$%%%&&&$$$%%%&&&%%%###""""""######$$$%%%&&&&&&%%%$$$#########$$$%%%%%%%%%$$$$$$((((((&&&%%%$$$############$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%&&&%%%%%%%%%######$$$%%%&&&'''(((((($$$$$$$$$$$$%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%########################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$!!!!!!!!!"""###$$$%%%&&&""""""######$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%######$$$%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''''''''(((((('''''''''%%%%%%%%%&&&&&&&&&''''''((((((''''''(((((()))***((((((((((((((((((((((((&&&&&&&&&''''''(((((()))''''''''''''''''''''''''%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%$$$'''&&&&&&%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%''')))((('''&&&&&&'''%%%%%%&&&&&&''''''&&&&&&&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%'''((()))***+++)))(((''''''(((((('''%%%&&&&&&'''''''''(((((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''((())))))))))))(((''''''((())))))))))))((('''''''''(((((())))))******)))(((''''''((()))***)))))))))(((((((((((((((&&&'''(((((((((((((((((('''(((((((((((()))))))))'''''''''''''''((((((((((((((((((((((((((((((((('''''''''''''''''''''''''''&&&&&&&&&&&&'''((((((''''''&&&&&&&&&&&&''''''((('''&&&&&&'''((('''&&&'''''''''''''''''''''''')))(((''''''&&&&&&''''''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&''''''$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%&&&''''''&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$###$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$'''&&&%%%######$$$%%%&&&,,,((($$$###$$$&&&&&&%%%"""""""""######$$$$$$$$$######$$$$$$$$$$$$###### """$$$%%%###""""""###!!!###$$$$$$"""!!!###%%%$$$$$$$$$%%%%%%$$$$$$$$$"""###$$$%%%%%%%%%%%%$$$&&&&&&%%%$$$$$$###$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&'''&&&&&&%%%######$$$$$$%%%%%%&&&&&&#########$$$$$$$$$$$$%%%######$$$$$$$$$%%%%%%%%%########################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%$$$$$$"""""""""###$$$%%%''''''!!!""""""###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&&&&%%%$$$$$$$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''((((((((((((((())))))***))))))))))))))))))))))))######$$$$$$%%%&&&&&&'''''''''''''''''''''''''''&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&'''''''''&&&%%%'''''''''''''''&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&###&&&((((((&&&%%%%%%'''$$$%%%&&&&&&''''''&&&&&&'''''''''((((((((())))))&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&'''((())))))***)))(((''''''(((((('''&&&''''''''''''((((((((((((((((((((((((((((((((((((''''''((((((((((((''''''''''''((()))))))))))))))((((((((((((((())))))***&&&''''''((())))))*********)))'''&&&&&&''')))***((((((((((((((((((((((((&&&&&&'''((((((((((((((('''((((((((())))))))))))***)))((((((((()))+++,,,(((((((((((((((((((((((('''''''''''''''''''''''''''&&&&&&&&&&&&'''(((((((((''''''''''''''''''(((((('''&&&&&&'''((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&)))(((((('''''''''''''''((((((''''''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&'''''''''(((%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%&&&''''''((($$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&''''''((($$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&%%%$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###%%%''',,,000333///***%%%###%%%'''((((((#########$$$$$$%%%%%%%%%######$$$$$$$$$$$$######"""###%%%%%%###!!!  ######""""""$$$'''$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$%%%%%%%%%%%%%%%$$$$$$$$$######$$$%%%%%%$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&'''((('''&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$""""""#########$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''&&&&&&&&&%%%%%%%%%$$$$$$&&&&&&%%%%%%$$$$$$%%%%%%!!!""""""###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&&&&&&&&&&%%%$$$###$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&'''(((((())))))))))))))))))))))))&&&&&&''''''((()))******((((((((((((((((((((((((&&&&&&&&&%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%"""###%%%'''((((((''''''&&&'''((()))((('''&&&%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&"""%%%((((((%%%$$$$$$&&&$$$%%%%%%&&&'''''''''&&&'''((((((((())))))******&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((((((((((((***(((''''''(((((('''&&&''''''''''''((((((((()))((((((((((((((((((((((((''''''(((((((((((('''''''''(((((())))))))))))))))))((('''''''''(((***+++&&&''''''((()))******+++***((('''&&&&&&'''(((***)))))))))))))))*********&&&&&&'''((())))))(((((('''((((((((())))))******((('''%%%###$$$&&&)))+++(((((((((((((((((((((((((((((((((((((((((((((((('''&&&&&&&&&&&&'''((((((******))))))))))))******((('''&&&&&&'''((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&))))))((('''''''''''''''((((((''''''''''''((((((((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&&&&'''''''''((((((%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%&&&'''((((((%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$%%%%%%'''((()))$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&$$$$$$###$$$%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$++++++(((&&&)))000333111000+++%%%!!!!!!"""!!! %%%$$$$$$$$$$$$$$$$$$%%%######$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$######$$$$$$"""!!!$$$$$$%%%%%%%%%%%%&&&&&&########################%%%%%%%%%%%%%%%$$$###""""""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$***)))'''%%%$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%&&&'''%%%$$$#########$$$%%%&&&%%%%%%$$$######$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&%%%$$$###"""&&&&&&%%%%%%%%%$$$$$$$$$########################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&''''''&&&&&&%%%&&&%%%$$$###$$$%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&'''((()))+++*********))))))((((((((((((((((((((('''''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''(((%%%$$$%%%'''(((&&&$$$''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&&&&''''''((('''&&&$$$###))))))))))))((((((((((((&&&((())))))(((''''''((((((((((((((())))))))))))((((((((((((((((((((((((''''''''''''((((((((()))%%%%%%&&&&&&'''(((((()))((((((((((((((((((((((((***)))((('''&&&'''((()))+++***))))))******)))((((((((((((((()))***++++++***************************))))))((((((((())))))++++++***)))((('''&&&%%%&&&&&&''''''((((((((()))'''((())))))))))))(((''''''(((((())))))(((((('''))))))(((((((((((())))))******)))((('''&&&&&&%%%((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&(((&&&$$$""""""$$$&&&(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&''''''((())))))***'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&+++,,,***+++555???EEE...***&&&$$$%%%&&&&&&%%%$$$$$$############$$$$$$#########$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$######$$$$$$###!!!#########$$$$$$$$$%%%%%%########################%%%%%%%%%%%%%%%$$$###"""############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%$$$###$$$%%%%%%%%%$$$$$$$$$$$$%%%&&&&&&%%%%%%$$$$$$$$$%%%&&&'''%%%%%%$$$######$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%$$$######%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%$$$$$$$$$%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%(((''''''&&&&&&&&&''''''******)))))))))(((((((((%%%&&&&&&'''((())))))***%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&&&&&&&&&&'''(((&&&$$$%%%'''(((&&&$$$''''''''''''''''''''''''((((((((((((((('''&&&&&&&&&''''''(((((((((''''''))))))))))))((((((((((((''')))******)))(((((()))''''''((((((((()))))))))(((((((((((((((((((((((('''''''''((((((((())))))'''''''''(((((()))))))))(((((((((((((((''''''''')))(((((('''''''''((((((///---,,,,,,------+++***((('''''''''(((((()))***((((((((((((((((((((((((******))))))((())))))***))))))))))))((((((((((((&&&&&&&&&&&&'''''''''(((&&&'''((())))))((('''&&&''''''((((((((((((''''''******))))))))))))******)))))))))((((((''''''&&&((((((((((((((((((((((((''''''''''''''''''''''''(((((((((((((((((((((((('''''''''&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%$$$$$$%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&''''''((())))))&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$((()))''''''---999AAABBB)))(((&&&&&&((())))))(((#########""""""##################$$$$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$"""###$$$$$$###"""""""""#########$$$$$$$$$########################$$$$$$%%%%%%%%%$$$##################$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###############$$$%%%&&&$$$$$$$$$$$$$$$%%%&&&&&&&&&&&&%%%%%%%%%&&&'''(((%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%$$$$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%$$$%%%&&&&&&'''''''''''''''''''''''''''((((((''''''&&&&&&%%%%%%)))(((((('''&&&&&&%%%%%%((((((((((((((('''''''''&&&&&&'''''''''(((((((((%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%&&&'''''''''%%%'''''''''''''''''''''''')))))))))))))))(((''''''''''''''''''((()))***+++(((((((((((())))))))))))(((***++++++***))))))***''''''''''''((((((((((((((((((((((((((((((((((((''''''((((((((()))))))))(((((((((((())))))))))))*********))))))((((((((()))))))))*********))))))---,,,++++++,,,,,,+++***)))((((((((((((((()))***((((((((((((((((((((((((***)))))))))))))))******)))))))))******+++++++++''''''''''''(((((((((((('''(((((())))))((((((''''''(((((())))))(((((('''+++******))))))******+++)))))))))(((((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''((((((((((((((((((((((((((((((((('''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%%%%&&&&&&''''''(((%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$666///(((***555<<<666***%%%%%%%%%&&&'''''''''&&&######""""""""""""##################$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%###"""###$$$$$$###"""############$$$$$$$$$$$$########################$$$$$$%%%%%%%%%$$$$$$############$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$%%%%%%$$$$$$$$$###$$$%%%%%%&&&%%%%%%%%%%%%%%%&&&&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&&&&%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%&&&&&&''''''((((((((((((((((((((((((***))))))((('''&&&&&&%%%''''''''''''''''''&&&&&&''''''''''''''''''''''''******)))(((&&&%%%$$$$$$%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&'''&&&&&&&&&'''''''''&&&''''''''''''''''''''''''(((((()))***************(((((('''&&&'''(((***+++(((((((((((())))))))))))(((***++++++***))))))***&&&'''''''''(((((((((((((((((((((((((((((((((((('''(((((((((((()))))))))((((((((((((((())))))))),,,,,,++++++******)))))))))***+++------,,,+++***+++******+++...//////...+++******)))))))))******************************))))))))))))))))))***+++******+++++++++,,,,,,,,,)))))))))))))))*********)))))))))******)))))))))))))))************))))))******))))))))))))******)))))))))))))))))))))***((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''%%%&&&'''(((((('''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&###$$$$$$%%%&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$======;;;:::;;;999,,,$$$%%%'''''''''&&&%%%%%%######""""""""""""######""""""#########$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""###$$$%%%$$$"""$$$$$$$$$%%%%%%%%%%%%&&&###########################$$$$$$%%%%%%%%%$$$$$$###$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$###$$$############$$$%%%%%%###$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$%%%&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&&&&'''''''''((((((((((((((((((((((((******)))(((''''''&&&&&&$$$$$$&&&'''((((((((((((&&&&&&&&&&&&''''''''''''***)))((('''&&&%%%$$$###%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''((((((''''''&&&'''''''''''''''&&&''''''''''''''''''''''''''''''%%%&&&(((***+++,,,,,,---***)))'''&&&%%%&&&'''((('''((((((((()))))))))***''')))******)))(((((()))'''''''''(((((((((((()))))))))))))))))))))))))))(((((((((((()))))))))***((((((((((((((()))))))))++++++*********)))))))))((()))+++,,,---,,,+++***,,,+++,,,///222555666555,,,,,,+++***))))))))))))***************************************+++,,,,,,++++++++++++************++++++++++++************))))))))))))))))))))))))((())))))******))))))(((***))))))(((((())))))***)))))))))***************))))))))))))))))))))))))''''''''''''''''''''''''((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''%%%&&&((())))))(((&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$%%%&&&&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%%%%%%%%%%###$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$000>>>HHHBBB444***&&&%%%&&&''')))((('''%%%&&&&&&#########""""""#########"""""""""############$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$"""""""""$$$%%%$$$###$$$$$$%%%%%%%%%&&&&&&&&&##############################$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%$$$#####################$$$%%%%%%"""###$$$%%%%%%%%%$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&''''''''''''&&&''''''''''''''''''''''''))))))((((((''''''&&&&&&"""###%%%'''))))))))))))&&&&&&&&&'''''''''''''''%%%%%%&&&&&&&&&'''''''''%%%&&&&&&''''''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((())))))((('''&&&&&&((((((((('''&&&'''(((''''''''''''''''''''''''%%%&&&''')))+++,,,------***)))((('''&&&&&&&&&&&&''''''(((((())))))******''')))******)))(((((()))(((((((((((())))))))))))))))))))))))))))))))))))((((((((()))))))))******((((((((()))******++++++************************))))))***+++,,,,,,,,,,,,++++++,,,///333666777777///...---,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,------------...///000000......------,,,,,,++++++......---------------,,,+++***))))))))))))***+++)))******************)))*********))))))*********+++++++++***************))))))))))))))))))))))))((((((((((((((((((((((((((((((((((((((((((((((((&&&&&&&&&&&&&&&'''''''''''''''''''''''''''''''''&&&'''((())))))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&''''''(((((($$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$'''333:::333'''"""$$$'''$$$&&&''''''%%%$$$&&&((($$$$$$############$$$$$$""""""""""""############$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$###"""!!!"""$$$%%%$$$######$$$$$$$$$%%%%%%%%%%%%########################"""###$$$%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$%%%%%%$$$$$$##################$$$$$$%%%###$$$%%%&&&&&&&&&%%%%%%###$$$%%%%%%%%%%%%$$$###########################$$$$$$%%%&&&&&&&&&%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################%%%%%%$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%'''((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''###$$$&&&((())))))((('''&&&&&&''''''(((((((((((($$$$$$%%%&&&&&&'''((((((%%%&&&&&&''''''&&&&&&%%%''''''''''''''''''''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&'''((())))))((('''&&&&&&((())))))&&&&&&''')))''''''''''''''''''''''''&&&'''((()))************(((((()))))))))((((((''''''''''''((()))*********(((***++++++***))))))***))))))))))))*********+++))))))))))))))))))))))))(((((()))))))))*********((()))***+++,,,...//////---------...//////000000///......///000111222222000000111333777999:::999777666444333222111111111000000000000000000000000222222222222333444555666444444444444444555555555555555555555444444444333000000///......///000000//////000000000000//////---,,,,,,++++++,,,,,,---,,,,,,,,,++++++******)))))))))))))))))))))))))))))))))))))))))))))))))))((((((((((((((((((((((((&&&&&&'''''''''(((((((((''''''''''''''''''''''''((((((((())))))(((((((((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&'''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$---+++&&&"""$$$)))((($$$ """$$$###!!!"""$$$'''%%%%%%$$$$$$$$$$$$%%%%%%""""""""""""############$$$$$$$$$%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$###"""!!!"""$$$%%%%%%###"""############$$$$$$$$$########################"""###$$$%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$!!!###$$$%%%$$$$$$#########"""###$$$$$$%%%$$$%%%&&&'''''''''&&&%%%###$$$%%%&&&&&&%%%$$$###########################%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$#########""""""################################################&&&%%%%%%$$$$$$#########&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%'''((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''$$$&&&'''))))))(((&&&%%%'''''''''((((((((())))))&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%''''''''''''''''''''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''((((((((((((((((((((((((''''''''''''''''''''''''&&&'''(((******((('''&&&&&&(((***)))&&&%%%''')))'''''''''''''''''''''''')))))))))))))))(((''''''&&&''')))+++++++++******&&&''''''((()))******+++)))+++---,,,+++***+++,,,)))*********++++++++++++))))))))))))))))))))))))))))))))))))******************+++---///000222222222222333444555666666777555555444444555666888:::===<<<<<<>>>@@@BBBBBBAAA>>>>>><<<;;;999888888888666666666666666666666666555555555666777888999::::::;;;<<<===>>>???@@@@@@=========<<<<<<<<<;;;;;;777777666555555666777777555666666777777666666555///......------......///------,,,,,,+++***))))))))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((((((((((((((('''((((((((())))))******(((((((((((((((((((((((())))))(((((((((((())))))''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&'''''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""######$$$$$$%%%&&&&&&"""###$$$%%%&&&&&&&&&&&&''''''&&&$$$"""!!!###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###$$$%%%$$$%%%'''&&&%%%%%%$$$$$$%%%%%%&&&######$$$$$$$$$%%%%%%%%%########################%%%%%%%%%$$$$$$#########&&&&&&%%%$$$%%%&&&'''(((&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$############$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########'''''''''&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$''''''''''''&&&%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''((('''&&&%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&******)))((((((((((((((()))(((((((((((('''''''''&&&&&&''')))******(((%%%&&&&&&&&&&&&&&&&&&&&&&&&(((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&'''((())))))&&&&&&&&&'''''''''((((((%%%&&&&&&''''''&&&&&&%%%''''''''''''''''''''''''''''''''''''''''''''''''***)))((('''&&&&&&'''(((&&&''''''((()))******+++,,,+++++++++******))))))###%%%((()))))))))***+++)))))))))******************************)))((('''******)))))))))***++++++---...///...---,,,---...000000000000000333777;;;:::;;;>>>@@@AAAAAAAAAAAACCCEEEEEEDDDCCCEEEJJJNNNLLLMMMOOOSSSVVVWWWUUUSSSTTTPPPKKKHHHFFFEEECCCBBBAAA@@@??????>>>>>>>>>>>>AAABBBDDDDDDDDDEEEHHHJJJKKKKKKKKKKKKJJJLLLOOORRRSSSRRRQQQQQQRRROOOIIICCC@@@>>>======>>>>>>>>>===AAADDDHHHIIIGGGDDDBBBAAA<<<:::666333222222444555////////////000000000111+++******+++,,,,,,***))),,,+++)))***++++++***(((***)))((('''&&&%%%&&&&&&''''''''''''((()))******111---)))&&&&&&((())))))***)))))))))((((((((((((''''''''''''''''''''''''&&&&&&%%%&&&&&&'''((()))&&&'''(((((('''%%%###"""%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$''''''&&&%%%%%%$$$######&&&&&&&&&&&&%%%%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###%%%$$$$$$$$$$$$$$$$$$$$$#########$$$%%%%%%&&&&&&'''''''''%%%###"""###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$###$$$###"""!!!"""&&&%%%%%%$$$$$$%%%%%%&&&######$$$$$$$$$%%%%%%%%%########################%%%%%%%%%$$$$$$$$$######&&&%%%$$$$$$$$$%%%''''''%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$############$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$######&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$''''''''''''&&&%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''((('''&&&&&&%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''***))))))(((((((((((((((((((((((('''''''''&&&&&&&&&&&&'''(((******(((&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''(((((((((&&&&&&&&&&&&''''''''''''&&&&&&&&&''''''&&&&&&&&&((((((((((((((((((((((((''''''''''''''''''''''''***)))((('''&&&''''''(((''''''(((((()))******++++++++++++******)))))))))''')))+++***(((&&&&&&&&&)))))))))***++++++,,,,,,+++++++++,,,++++++******,,,,,,+++++++++,,,---------///111111111111222444666777888999;;;???DDDHHHLLLNNNSSSVVVYYYYYYXXXWWWZZZ\\\]]]]]][[[ZZZ\\\^^^___```bbbgggkkkoooooooookkkgggbbb]]]ZZZXXXUUUSSSPPPOOONNNMMMLLLLLLLLLLLLOOOQQQSSSTTTUUUVVVXXXZZZ]]]]]]^^^^^^^^^aaafffiiillljjjiiiiiiiiiddd\\\VVVQQQOOOLLLKKKNNNPPPRRRSSSWWWYYY\\\]]]]]][[[WWWUUUJJJEEE>>>:::999999999888555555555666666555555444333111///.........,,,***,,,+++***+++,,,---,,,+++*********++++++,,,,,,,,,))))))(((((()))***++++++///,,,(((&&&'''((((((((((((((('''''''''&&&&&&&&&'''''''''''''''''''''''')))((('''&&&&&&%%%&&&&&&''''''''''''&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$''''''&&&%%%%%%$$$######%%%&&&&&&&&&%%%%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###&&&&&&%%%%%%$$$######"""$$$$$$#########%%%&&&'''&&&''''''%%%###"""$$$%%%%%%%%%%%%%%%%%%%%%$$$$$$###$$$$$$$$$######"""!!!%%%%%%$$$$$$$$$$$$%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###$$$$$$$$$$$$$$$%%%&&&&&&$$$$$$###############"""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$############$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&''''''&&&&&&%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&))))))))))))))))))))))))))))))((((((''''''((((((''''''''''''&&&&&&&&&%%%&&&&&&&&&(((******(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&))))))))))))))))))))))))''''''''''''''''''''''''))))))((('''''''''(((((('''(((((())))))******************)))))))))))))))+++,,,---+++)))'''&&&&&&'''''''''((()))***+++,,,*********+++++++++++++++............///111222333333555888:::<<<===???AAACCCEEEGGGJJJMMMRRRWWW\\\dddhhhnnnsssuuutttrrrpppqqqsssuuuuuusssqqqppppppqqqqqqssswww}}}zzzuuuqqqmmmiiifffdddcccaaa___^^^]]]]]]]]]^^^aaaeeeggghhhiiikkklllooooooppppppqqquuu{{{|||sssllldddaaa^^^^^^```eeehhhiiipppppprrrvvvyyyxxxsssnnn^^^VVVKKKEEEDDDCCC@@@======>>>???@@@@@@???>>>===>>>;;;777444333222000///,,,+++******,,,---,,,+++((()))***+++,,,,,,,,,+++******************+++++++++)))''''''((((((((('''((((((((('''''''''&&&&&&'''''''''''''''''''''''')))((('''&&&&&&%%%&&&&&&(((((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%$$$%%%%%%&&&&&&%%%%%%$$$'''&&&&&&%%%%%%$$$$$$###%%%%%%&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###%%%%%%%%%$$$$$$#########&&&%%%$$$######%%%''')))$$$%%%%%%$$$###"""###$$$%%%%%%%%%$$$$$$$$$$$$$$$!!!$$$%%%%%%%%%''''''$$$%%%%%%$$$$$$$$$$$$%%%%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$%%%%%%$$$$$$$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$############$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$##################$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''(((((((((((((((((((((((()))(((((('''''''''((((((''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&'''))))))(((&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''''''''''''''&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''((((((((((((((((((((((((''''''''''''''''''''''''))))))(((((((((((((((((((((((()))))))))*********))))))))))))))))))))))))***,,,---,,,+++******+++))))))((()))***+++---...---------...///000111222111222333555777:::<<<===AAADDDIIIMMMOOORRRTTTVVVWWWYYY\\\___bbbfffkkkoooxxx|||~~~}}}}}}yyyxxxwww{{{|||wwwttttttssspppmmmkkkjjjjjjjjjgggkkkooossstttuuuvvvwwwxxxxxxwwwwwwxxx|||}}}qqqooonnnnnnqqqsssuuuuuu}}}}}}sssiii\\\TTTSSSQQQLLLGGGHHHJJJLLLNNNPPPPPPOOONNNLLLHHHBBB>>>;;;999777555111///...///000000///---++++++,,,,,,+++***)))(((+++******)))))))))******)))((('''((())))))'''&&&*********))))))))))))(((''''''''''''''''''''''''&&&&&&%%%&&&&&&'''((())))))((('''%%%%%%%%%&&&'''%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$#########$$$$$$$$$%%%%%%%%%((('''%%%$$$%%%&&&((()))"""###$$$$$$"""!!!"""###%%%%%%%%%$$$$$$#########!!!%%%&&&###$$$(((((($$$%%%$$$$$$######$$$$$$%%%######$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$############$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%########################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''''''''((((((''''''''''''((((((''''''&&&&&&&&&%%%%%%%%%&&&%%%%%%&&&(((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''(((''''''&&&&&&''''''(((''''''''''''''''''''''''(((((((((((((((((((((((((((((())))))))))))))))))))))))))))))************)))))))))))))))************+++,,,+++******+++---------,,,,,,---///111222444444444555777999;;;<<<;;;<<<>>>AAAEEEIIILLLNNNWWW[[[```dddgggiiilllnnnnnnpppqqqrrrtttvvvyyy|||~~~||||||}}}zzzvvvrrrpppnnnnnnooojjjnnnsssvvvxxxyyyzzz{{{|||{{{zzzxxxwwwyyy}}}}}}|||}}}~~~|||zzz~~~~~~{{{nnngggeeeccc^^^YYYXXXZZZ]]]```ccceeefffgggbbb]]]UUUMMMGGGBBB>>>;;;;;;999888888999999777666222222111000///...,,,+++,,,+++******)))))))))))))))(((((()))+++***(((&&&+++*********))))))))))))((((((((((((((((((((((((&&&&&&%%%&&&&&&'''((())))))((('''&&&%%%&&&'''(((%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###"""######$$$%%%%%%&&&&&&((('''&&&%%%%%%&&&'''(((!!!###$$$$$$###""""""###%%%%%%%%%$$$######""""""###''''''""""""(((((($$$$$$$$$############$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%###$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$############$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&###############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%&&&&&&&&&%%%$$$###%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&''''''((((((''''''''''''&&&&&&&&&%%%'''%%%%%%%%%'''((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&''''''''''''''''''&&&&&&&&&'''''''''(((((()))((('''&&&&&&'''((()))''''''''''''''''''''''''(((((((((((((((((((((((((((((()))*********))))))***************************************++++++++++++,,,,,,+++))))))+++,,,---------...000333777999<<<<<<===>>>@@@DDDFFFHHHNNNOOOQQQUUUYYY]]]aaabbblllpppvvvzzz|||}}}~~~zzzwwwrrrmmmjjjhhhhhhhhhfffiiimmmppprrrsssuuuwwwyyyyyywwwtttrrrqqqrrrttttttwww}}}}}}yyyvvvwww|||~~~xxxvvvtttppplllhhhiiilllppptttxxx{{{}}}zzztttkkkbbbYYYRRRKKKFFFCCCBBBAAABBBDDDEEEDDDCCC<<<;;;888666444222111111000///...---,,,+++++++++,,,+++++++++,,,,,,***((())))))((((((((('''''''''(((((((((((((((((((((((()))((('''&&&&&&%%%&&&&&&(((((('''''''''''''''(((%%%%%%%%%&&&''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$%%%%%%$$$$$$###$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%"""$$$&&&&&&%%%$$$$$$$$$%%%%%%$$$$$$###""""""!!!"""((('''"""$$$...111---$$$$$$############$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%###$$$%%%&&&'''&&&&&&%%%######$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$############$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''#########$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######&&&'''((()))((('''%%%$$$%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&&&&'''((()))((((((((('''''''''&&&&&&'''%%%$$$%%%&&&((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&'''''''''''''''''''''''''''''''''%%%&&&&&&&&&'''((((((((('''''''''((((((((()))))))))((('''&&&&&&'''((()))''''''''''''''''''''''''(((((((((((((((((((((((('''((()))***+++******)))***************************+++++++++,,,,,,,,,,,,.../////////...///222444444444555888<<>>;;;$$$$$$############$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%$$$%%%&&&'''((('''&&&&&&""""""######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$############$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''######$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########)))***++++++***(((&&&$$$%%%%%%%%%&&&&&&&&&''''''((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((())))))((((((((((((''''''''''''%%%$$$$$$&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''((())))))(((((((((((())))))))))))***((('''&&&&&&'''(((***))))))))))))))))))))))))))))))))))))))))))))))))'''((()))+++++++++***)))++++++******************+++++++++,,,,,,---------///000222444555999===@@@BBBBBBEEEIIIOOOVVV]]]aaaeeeeeefffhhhkkkooosssvvvxxxxxxyyyzzz|||~~~}}}zzzyyyzzz}}}~~~wwwsssmmmhhhfffeeeddddddhhhhhhiiikkkllljjjeeebbbbbb^^^XXXSSSNNNLLLLLLLLLIIIKKKMMMNNNOOOQQQTTTWWWXXXXXXXXXVVVRRROOOMMMMMMMMMOOOSSS[[[dddhhhgggeeeeeeccccccccccccccc```^^^VVVYYY^^^eeellluuu~~~~~~}}}}}}sssssstttuuuyyy~~~zzzuuuqqqggghhhiiimmmssswwwyyyyyyrrrlllcccXXXNNNGGGCCCAAA<<<;;;999888666666555555444222///.........---+++++++++++++++************))))))))))))))))))))))))&&&&&&&&&&&&&&&'''))))))&&&'''((())))))((('''&&&%%%%%%&&&&&&'''((())))))&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###"""!!! !!!"""###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""(((((("""'''555;;;888&&&&&&%%%%%%%%%%%%$$$$$$######""""""######$$$%%%###$$$$$$%%%%%%$$$$$$###&&&&&&%%%$$$$$$###""""""###$$$%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$###""""""###$$$%%%$$$%%%%%%$$$######$$$&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%&&&&&&%%%$$$$$$######"""$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&)))))))))))))))(((((('''''''''&&&%%%%%%%%%%%%%%%(((((('''''''''&&&&&&&&&)))(((&&&%%%$$$%%%%%%&&&'''''''''''''''((())))))(((((('''&&&%%%%%%$$$$$$))))))((((((''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$&&&''''''&&&%%%%%%&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&'''''')))&&&$$$$$$''')))((('''(((((((((((((((((((((((((((((((((((())))))))))))((()))***+++,,,,,,+++***((()))************---///,,,,,,+++***((()))+++---***,,,---......///111444:::===@@@BBBDDDHHHNNNSSS[[[^^^aaabbbeeemmmyyy~~~}}}~~~}}}zzzyyypppnnnkkkgggffffffggghhhllllllmmmpppsssuuutttrrrjjjddd\\\VVVSSSRRRRRRRRRSSSTTTTTTUUUTTTTTTTTTSSSSSSPPPLLLHHHEEEDDDEEEEEEAAAAAAAAABBBCCCCCCDDDDDDGGGGGGFFFEEEDDDCCCCCCDDDBBBBBBDDDFFFHHHKKKNNNOOOMMMPPPSSSSSSPPPOOOOOOQQQNNNMMMLLLNNNTTT^^^gggmmmuuuwwwzzz{{{zzzwwwssspppooommmllllllooouuu{{{|||yyywwwyyyssscccVVVOOOLLLHHHFFFBBB@@@@@@@@@@@@???:::888555333222111...,,,...,,,)))(((((((((&&&%%%))))))((('''''''''((((((''''''&&&&&&'''(((***+++((('''&&&%%%%%%&&&'''(((''''''''''''''''''&&&&&&(((''''''''''''&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&'''''''''&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&%%%%%%$$$###$$$%%%%%%&&&''''''''''''&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########$$$$$$$$$#########""""""######$$$$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###""""""###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$)))(((!!!""",,,///,,,&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%$$$%%%%%%$$$######$$$&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&(((((())))))))))))((((((******)))(((((((((((()))))))))((((((((('''''''''((('''&&&%%%%%%%%%&&&''''''''''''''''''(((((()))***))))))(((''''''&&&&&&((((((((('''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$&&&''''''&&&%%%&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''''')))&&&$$$%%%''')))((('''(((((((((((((((((((((((((((((((((((()))))))))***((()))***+++++++++***)))'''((()))))))))***---///''')))++++++++++++---//////000111111333777<<<@@@FFFKKKQQQWWW\\\aaagggkkknnnqqqtttuuuwww~~~|||xxxuuuuuuvvvwwwzzz}}}xxxqqqkkkfffddd^^^\\\YYYVVVTTTTTTUUUVVVVVVVVVWWWZZZ]]]___^^^]]]XXXSSSMMMIIIGGGHHHHHHGGGGGGGGGGGGGGGGGGFFFEEEEEEFFFDDDBBB???>>>>>>??????<<<<<<<<<<<<<<<<<<============<<<;;;;;;;;;;;;;;;======>>>>>>???@@@AAABBBBBBDDDFFFFFFCCCAAAAAABBBEEEDDDCCCDDDIIIPPPXXX\\\eeegggiiikkkkkkhhheeeccc```___]]]^^^aaafffkkkooo|||~~~yyymmmfffcccWWWTTTPPPMMMLLLLLLMMMNNNKKKGGGAAA<<<999666444333111///,,,******)))'''%%%+++******)))))))))*********))))))((((((((())))))***)))(((''''''((()))***''''''''''''''''''''''''(((''''''''''''&&&&&&&&&'''&&&&&&&&&%%%%%%%%%$$$!!!"""$$$&&&''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&%%%$$$###$$$%%%%%%&&&&&&&&&&&&%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%$$$$$$############$$$$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%)))'''!!!!!!&&&'''###&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%$$$$$$%%%%%%&&&'''###$$$$$$%%%%%%$$$$$$###""""""###$$$%%%%%%&&&&&&###$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$################################################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%$$$%%%%%%$$$######$$$&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&"""######$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&'''((())))))))))))(((((('''&&&&&&&&&&&&''')))))))))))))))(((((((((&&&&&&&&&%%%&&&&&&'''(((''''''&&&&&&''''''((())))))))))))(((''''''&&&&&&'''''''''&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&((((((&&&%%%&&&'''&&&&&&''''''''''''&&&&&&%%%&&&&&&&&&&&&'''''''''(((&&&%%%%%%''')))((((((((((((((((((((((((((((((((((((((()))))))))******)))************))))))(((''')))*********+++---///)))+++------------///000444666888:::???FFFNNNTTT[[[```hhhpppwww|||wwwnnnhhhbbbccccccdddgggjjjlllnnnsssqqqkkkeee^^^WWWSSSPPPLLLJJJHHHFFFDDDDDDEEEFFFCCCBBBBBBDDDHHHJJJJJJJJJFFFCCC@@@>>>???@@@@@@???<<<=========<<<<<<;;;:::999999999999::::::::::::999999888777777777888888777666666555555555666666888888888999999:::::::::;;;<<<===<<<999777777777===<<<;;;<<>><<<777555111///...---***))),,,++++++******++++++,,,++++++++++++***)))(((''')))((((((''''''(((((()))''''''''''''''''''''''''(((''''''''''''&&&&&&&&&'''''''''&&&&&&&&&&&&&&&!!!"""%%%'''(((((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%&&&&&&&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%$$$###&&&&&&%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$###&&&&&&&&&%%%%%%%%%%%%$$$######$$$$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###''''''$$$$$$(((((($$$&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&###$$$$$$%%%%%%$$$$$$###"""######$$$$$$%%%&&&&&&###$$$$$$%%%%%%%%%$$$$$$"""#########$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""""""""""""""########################$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%&&&&&&%%%$$$###$$$%%%%%%$$$######$$$&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%&&&((()))*********''''''&&&%%%%%%%%%%%%&&&((((((((((((((((((((((((%%%&&&&&&&&&''''''(((((('''&&&&&&&&&&&&'''((((((''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%'''(((((('''&&&&&&'''&&&&&&''''''''''''&&&&&&&&&&&&&&&&&&''''''''''''''''''&&&'''(((((((((((((((((((((((((((((((((((((((((()))))))))*********************)))(((((('''***+++,,,,,,++++++---///000000111000///000222555;;;???EEEKKKSSS\\\eeekkksssvvv{{{~~~}}}~~~||||||{{{wwwpppfff\\\VVVTTTSSSSSSSSSTTTVVVXXXYYY\\\ZZZWWWTTTOOOKKKGGGFFFDDDCCCAAA???>>>>>>??????===<<<;;;===???AAAAAA@@@>>><<<;;;;;;<<<======<<<999:::;;;;;;<<<<<<;;;;;;666777999:::;;;;;;::::::;;;:::999888777777777777888777777666666777777777444555666888999;;;;;;<<<;;;;;;;;;:::888777777777888888888999;;;<<<>>>???AAACCCEEEGGGHHHHHHGGGGGGEEEEEEDDDEEEGGGJJJMMMPPPXXX[[[___eeejjjmmmpppqqqtttrrrrrrsssvvvzzzzzzuuurrrsssxxx{{{wwwrrriii```WWWOOOHHHCCC<<<:::666444333222///---,,,+++++++++++++++,,,,,,***+++,,,,,,+++***((('''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''(((((((((((((((''''''''''''&&&&&&&&&''''''''''''''''''''''''%%%&&&(((((((((&&&###"""&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''&&&&&&%%%$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$###"""%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%$$$###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$###&&&'''%%%&&&((((((&&&&&&&&&%%%%%%%%%$$$$$$$$$###############$$$%%%%%%###$$$$$$%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$######!!!!!!""""""######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""""""""""""""########################$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$%%%%%%$$$###"""$$$%%%%%%$$$######$$$&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&###$$$&&&''')))*********+++******)))))))))))))))''''''''''''''''''''''''%%%&&&&&&''''''(((((((((&&&&&&&&&&&&&&&'''((((((&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%'''(((((('''&&&&&&'''&&&''''''((((((''''''&&&&&&&&&&&&'''''''''((((((&&&'''((((((((((((((()))))))))))))))))))))))))))))))))))))))************++++++***)))))))))((((((+++,,,---,,,******,,,---444333333222333777===BBBIIIPPPZZZeeeoooxxx}}}yyyuuusssrrrsssrrroookkkeee]]]UUUNNNJJJHHHGGGFFFEEEEEEFFFGGGHHHHHHHHHGGGEEECCC@@@>>>===>>>>>><<<;;;;;;;;;;;;<<<;;;:::999:::<<<===<<<::::::999888999;;;<<<;;;:::999:::;;;===???@@@@@@@@@:::<<<===??????>>>===<<<>>>>>>>>>===<<<;;;:::999::::::999888888888999999444555777999:::;;;;;;<<<:::999888777666666555444555555666777888999999::::::;;;<<<===????????????;;;;;;:::;;;<<>>>>>===<<<<<<===???@@@@@@@@@@@@???>>>;;;999777;;;;;;:::::::::::::::;;;::::::;;;===??????>>><<<<<<;;;:::;;;===>>>>>>>>>???@@@BBBDDDEEEFFFGGGGGGEEEFFFGGGHHHIIIHHHGGGFFFHHHIIIJJJKKKJJJHHHEEEDDDBBBAAA@@@???>>>>>>>>>>>>>>>???@@@BBBBBBBBBAAA@@@@@@===:::888777666444333555666666777777777777777888888888888999999:::::::::::::::;;;<<<===>>>>>>>>>@@@CCCGGGJJJLLLMMMNNNKKKMMMPPPSSSWWW\\\bbbfffmmmtttuuueeeZZZOOOKKKGGGCCC@@@===:::777333222111000///.........++++++,,,,,,,,,,,,,,,+++)))******++++++******)))'''''''''(((((())))))***(((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''%%%%%%&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&%%%&&&&&&''''''''''''&&&%%%%%%%%%%%%%%%%%%$$$###$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$$$$$$$$$$%%%%%%%%%"""###############$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$%%%%%%%%%%%%$$$###$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$((('''%%%%%%%%%$$$$$$%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$############$$$%%%%%%###$$$$$$%%%%%%$$$$$$############$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$###""""""%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$%%%%%%$$$######$$$&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%&&&'''(((((((((((((((''''''&&&&&&&&&&&&&&&&&&'''''''''((((((((((((''''''((())))))((('''&&&&&&&&&%%%%%%&&&&&&'''(((((((((((((((((((((((((((&&&&&&'''''''''(((((((((''''''''''''''''''''''''&&&'''))))))'''''''''(((''''''((((((((((((''''''''''''''''''((((((((((((%%%(((******)))'''(((***))))))))))))))))))))))))))))))*********+++++++++,,,++++++******+++,,,---+++---///111222444777:::@@@DDDKKKRRRZZZbbbkkkpppvvv|||zzztttmmmfff```\\\XXXXXXXXXVVVRRRPPPPPPQQQRRRPPPLLLHHHDDDAAA??????:::999::::::<<<>>>@@@BBBDDDEEEFFFFFFEEECCCAAA???BBBBBBBBBBBBBBBBBBBBBBBBDDDEEEHHHMMMQQQRRRPPPNNNIIIHHHGGGHHHKKKNNNPPPPPPRRRSSSTTTUUUVVVVVVVVVVVVXXXXXXYYYZZZ[[[\\\\\\\\\\\\___bbbdddccc```\\\ZZZVVVUUUSSSRRRQQQPPPOOOOOOTTTUUUWWWYYYZZZZZZYYYXXXWWWSSSMMMIIIGGGDDDAAA>>>??????>>>===<<<<<<<<<;;;;;;;;;999888888888999999<<<<<<===>>>>>>>>>>>>>>>:::<<<>>>@@@AAABBBBBBAAA>>>AAACCCDDDEEEHHHMMMQQQYYY```jjjrrrwww||||||~~~{{{rrrddd```ZZZTTTOOOJJJEEEAAA;;;:::888666555333333222000000///...------------***+++,,,------,,,+++***&&&''''''((())))))******(((''''''''''''&&&&&&&&&$$$%%%%%%%%%&&&&&&&&&&&&'''&&&&&&%%%&&&'''((((((''''''''''''''''''''''''&&&&&&''''''&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%&&&'''''''''''''''$$$%%%%%%&&&&&&&&&&&&%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%######$$$$$$$$$%%%%%%%%%#########$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$(((&&&%%%&&&'''&&&(((***&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%$$$$$$%%%%%%&&&'''$$$$$$$$$%%%%%%$$$$$$$$$ !!!"""###%%%&&&'''((($$$$$$$$$$$$$$$###"""!!!'''''''''&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$'''&&&$$$$$$$$$$$$&&&'''$$$%%%%%%$$$######$$$&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$##################$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%&&&'''((((((((((((++++++***)))))))))))))))'''((((((((())))))******(((((()))))))))'''&&&%%%&&&%%%%%%%%%%%%&&&''''''%%%&&&&&&&&&&&&&&&&&&&&&'''''''''((((((((())))))''''''''''''''''''''''''&&&((())))))(((''''''(((''''''((((((((((((''''''''''''''''''((((((((()))$$$(((++++++)))'''(((***)))))))))))))))))))))))))))************+++++++++,,,,,,+++***+++,,,...///...111444777999===AAAEEEMMMSSS\\\fffnnnuuu{{{{{{pppmmmggg```ZZZTTTNNNJJJFFFHHHHHHHHHFFFEEEFFFGGGEEEDDDBBB@@@>>><<<;;;:::999999:::<<>><<<999888777666666444222000............)))***+++,,,,,,+++***)))&&&''''''((()))******+++(((((('''''''''&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&,,,***(((%%%$$$$$$%%%&&&''''''''''''''''''''''''&&&'''''''''&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%&&&'''((((((((('''$$$%%%&&&&&&''''''''''''$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%#########$$$$$$%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%$$$$$$%%%%%%%%%&&&&&&$$$$$$$$$$$$&&&&&&)))(((&&&%%%%%%&&&((()))&&&%%%%%%%%%%%%%%%%%%$$$&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$%%%&&&&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$$$$$$$$$$%%%&&&"""$$$&&&%%%$$$###$$$%%%"""!!!!!!"""$$$&&&%%%$$$%%%%%%%%%%%%$$$$$$###"""###$$$%%%&&&&&&&&&&&&&&&%%%$$$"""!!!!!!"""$$$%%%########################$$$$$$%%%%%%%%%&&&&&&&&&(((((('''&&&%%%%%%$$$$$$$$$$$$$$$$$$######""""""$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''''''''''''''((())))))&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''******))))))((((((((('''(((((((((((((((''''''''''''''''''''''''''''''''')))((('''&&&&&&'''((()))''''''''''''''''''''''''((((((((((((((('''''''''((((((((((((((((((((((((''''''&&&&&&&&&&&&''''''************))))))))))))(((((((((((())))))))))))))))))(((((((((((())))))+++++++++)))((())),,,...,,,+++******,,,---,,,,,,)))+++---...///111444666555:::@@@FFFJJJNNNRRRTTT```fffpppzzz}}}yyyssskkkeee\\\XXXQQQKKKHHHEEEAAA???CCCCCCCCCAAA??????AAACCCAAACCCDDDAAA>>>===???BBB>>>???@@@CCCHHHNNNSSSVVV```dddiiimmmlllhhhccc___cccbbbaaa___^^^^^^^^^^^^```eeelllsssuuuuuurrrooogggfffeeefffiiinnnsssvvvwwwyyyzzzzzzxxxvvvuuuvvv{{{{{{zzzyyywwwvvvxxxzzzzzz}}}~~~{{{zzzxxxvvvssspppyyy}}}~~~xxxsssmmmhhheeeaaaaaaaaa```]]]YYYUUUSSSRRROOOJJJFFFDDDCCCCCCBBBEEEBBB>>>???BBBBBB???;;;???<<<999888999:::;;;:::888999;;;<<<<<<<<<<<<===AAADDDHHHMMMQQQUUUZZZ]]]^^^___```^^^]]]^^^ccchhhqqqttt|||~~~vvviiiZZZPPPPPPKKKFFFEEEEEECCC>>>999888666555444555444222000111///,,,+++,,,+++***)))+++***((((((***+++******+++***((('''((()))((('''(((((((((((((((''''''&&&(((((((((((((((((((((((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&&&&$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%$$$$$$#########&&&&&&&&&%%%%%%$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&((('''&&&%%%%%%&&&'''(((&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%$$$$$$############$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$######$$$%%%%%%"""$$$&&&%%%$$$###$$$%%%###"""!!!"""$$$%%%%%%$$$$$$$$$%%%%%%%%%$$$######$$$$$$$$$$$$%%%%%%%%%%%%%%%$$$###""""""###$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&&&&(((''''''&&&%%%%%%$$$$$$$$$$$$$$$$$$#########"""$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''')))))))))((((((''''''''''''''''''(((((((((((((((''''''''''''''''''''''''(((''''''&&&&&&''''''(((''''''''''''''''''''''''((((((((((((((((((((('''((((((((((((((((((((((((''''''&&&&&&&&&&&&''''''))))))))))))))))))))))))(((((((((((()))))))))******))))))(((((())))))***((())))))((('''(((***---+++++++++,,,,,,,,,***)))...000222333555888<<>>;;;<<<===>>>>>>@@@CCCFFFJJJMMMOOONNNKKKHHHIIIJJJKKKKKKMMMPPPUUU\\\cccggguuuxxx~~~}}}wwwsssooonnnmmmkkkjjjiiiiiiiiihhhlllrrrwwwyyyxxxvvvtttooonnnnnnoooqqqvvvzzz}}}~~~}}}~~~~~~zzzvvv|||wwwssspppqqqqqqqqqpppnnnlllkkkiiieee```[[[XXXVVVUUUTTTRRRNNNKKKKKKMMMNNNLLLIIIGGGEEEAAA???>>>===;;;999777888999999999999:::;;;>>>@@@BBBDDDEEEGGGIIIKKKMMMNNNOOONNNMMMOOOSSSVVV\\\___hhhvvvyyymmmddd]]]YYYUUUTTTSSSOOOHHHBBB:::888666555555555444222222000...---...---,,,+++,,,+++))))))***+++******+++)))''''''((())))))((((((((())))))(((((('''&&&(((((((((((((((((((((((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&&&&%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$########################$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&((('''&&&%%%%%%&&&'''(((&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$###############""""""######$$$%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%"""$$$&&&%%%$$$###$$$%%%$$$###"""###$$$%%%$$$#########$$$%%%%%%%%%$$$$$$&&&%%%$$$###"""###$$$$$$%%%$$$###""""""###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&''''''&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$############$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((((((((('''''''''''''''&&&&&&''''''(((((())))))''''''''''''''''''''''''&&&''''''((((((''''''&&&''''''''''''''''''''''''''''''((((((((((((((((((((((((((((((((((((((((((''''''&&&&&&&&&&&&''''''((((((((((((((((((((((((((((((((()))))))))***************))))))*********''')))******))))))***++++++,,,------------,,,+++111333777:::???EEELLLQQQ^^^dddmmmuuu{{{~~~vvvrrrnnnjjjhhhaaa\\\UUUQQQPPPNNNJJJFFF@@@@@@???===;;;;;;<<<>>>:::===AAADDDHHHLLLRRRUUU___ccchhhhhhddd^^^[[[ZZZZZZZZZ[[[]]]ccckkkrrrwww}}}wwwvvvuuutttsssrrrrrrrrrqqqssswwwyyyzzzzzzxxxwwwuuuttttttuuuwww{{{}}}~~~zzzuuupppmmmlllkkkhhhddd```___aaacccbbbaaaZZZXXXTTTPPPLLLGGGBBB>>><<<;;;999888888888999:::============>>>>>>>>>>>>???@@@AAABBBBBBCCCFFFHHHJJJLLLTTTbbbsssyyyssslllkkkjjjjjjhhhbbbXXXPPPCCC@@@<<<999888777666444333111............---,,,...,,,******++++++***)))***(((''''''(((***)))((((((((())))))(((((('''&&&(((((((((((((((((((((((('''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((((((((('''''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&''''''((((((''''''&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$############""""""###$$$$$$$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%"""$$$&&&%%%$$$###$$$$$$%%%$$$######%%%%%%$$$""""""###$$$$$$%%%%%%%%%%%%'''%%%###!!!!!!!!!###$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''&&&&&&%%%&&&&&&'''((()))******'''''''''''''''''''''''''''''')))******)))''''''''''''''''''''''''''''''''''''''''''((((((((((((((((((((((((((((((((((((''''''&&&&&&&&&&&&''''''''''''''''''(((((((((((((((((()))))))))*********++++++************++++++)))+++------+++******+++,,,------......000333555444888===DDDLLLVVV___fffqqqwww~~~{{{lllbbb]]]ZZZVVVRRRSSSOOOJJJHHHHHHHHHFFFDDD>>>??????>>><<<<<<>>>AAAAAAEEEKKKQQQVVV]]]cccgggsssyyyyyyooohhheeebbbaaa```bbbgggnnnuuuyyyxxx|||zzzwwwrrrrrrqqqqqqqqqrrrrrrsssuuuvvvvvvwwwwwwvvvuuuuuuqqqqqqqqqrrrtttwww{{{}}}}}}|||xxxwwwyyy{{{|||{{{uuurrrnnnjjjddd\\\TTTNNNJJJGGGBBB>>>=========>>>>>>>>>===>>>???@@@??????<<<===???@@@AAABBBCCCDDDFFFGGGKKKTTT```llluuuyyyvvvxxx{{{~~~|||yyyvvvtttvvvzzz}}}}}}vvvllldddVVVQQQIIICCC???<<<999888777555333222222222000///000...,,,+++++++++***(((***((('''''')))******))))))))))))))))))(((''''''(((((((((((((((((((((((('''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%&&&&&&&&&''''''&&&%%%%%%$$$######$$$%%%%%%%%%%%%%%%%%%%%%""""""###$$$$$$$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%"""$$$&&&%%%$$$###$$$$$$&&&$$$###$$$%%%%%%$$$###"""###$$$$$$%%%%%%%%%%%%'''%%%###!!!!!!!!!###$$$%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&'''''''''%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''%%%&&&&&&'''((()))******((((((((((((((((((((((((((()))***++++++***)))(((''''''''''''''''''''''''&&&'''''''''(((((())))))((((((((((((((((((((((((''''''&&&&&&&&&&&&''''''&&&'''''''''((((((((()))))))))))))))************++++++************+++++++++,,,...---+++))))))***,,,------...000666>>>DDDDDDHHHNNNTTT\\\eeennntttzzzrrrhhhZZZQQQNNNMMMJJJGGGIIIGGGEEEGGGKKKLLLKKKIIICCCEEEFFFFFFFFFFFFHHHJJJIIINNNTTTZZZ```ffflllppp|||tttjjjeeeaaa```______aaafffkkknnnlllooorrruuuuuurrrmmmkkkgggggghhhiiijjjlllnnnooosssrrrrrrqqqpppooonnnnnnggggggggghhhjjjllloooqqquuuyyy~~~~~~~~~~~~~~~|||xxxtttqqqqqqrrrtttuuuwwwzzz|||}}}~~~wwwmmmggg]]]XXXQQQLLLIIIIIIGGGFFFDDDBBBAAAAAACCCDDDBBBAAA=========???@@@AAAAAAAAAFFFEEEEEEHHHNNNWWW^^^bbbcccfffjjjnnnppppppppppppsssxxx{{{lllfff]]]TTTMMMGGGCCC@@@@@@===:::999888888666444333111...------,,,***)))+++***((((((***+++******)))))))))))))))(((((('''))))))))))))))))))))))))&&&'''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$#########$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$######"""######$$$%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&%%%%%%%%%''''''&&&%%%%%%$$$######%%%%%%%%%%%%%%%&&&&&&&&&"""######$$$%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$"""$$$&&&%%%$$$###$$$%%%%%%$$$###$$$%%%&&&%%%$$$######$$$%%%%%%%%%$$$$$$&&&%%%$$$###"""###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%########################%%%&&&&&&&&&''''''''''''%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''''''''(((((((((&&&&&&''''''(((((())))))((((((((((((((((((((((((((())))))******))))))(((''''''''''''''''''''''''&&&&&&''''''((()))))))))((((((((((((((((((((((((''''''&&&&&&&&&&&&'''''''''''''''(((((())))))***)))))))))*********++++++*********))))))************+++,,,,,,******+++,,,...111333555999@@@KKKSSS\\\___ccchhhlllpppvvvyyyzzz}}}{{{yyyuuuooojjj]]]VVVMMMGGGEEEFFFEEEEEEBBBCCCGGGOOOWWW\\\[[[YYYSSSRRRRRRSSSUUUWWWVVVUUUUUUXXX]]]bbbfffiiimmmppp{{{|||pppfffaaaZZZYYYXXXWWWXXXZZZ]]]___]]]^^^```aaaaaa___]]][[[\\\]]]^^^___aaadddfffgggjjjiiihhhfffdddcccbbbbbbZZZZZZZZZ[[[\\\___aaabbbfffjjjnnnpppooonnnmmmllliiiiiigggddd```^^^___```ccccccdddfffiiimmmqqqssstttuuuwwwzzz||||||zzzxxxuuuuuuuuuuuuxxx}}}|||{{{{{{tttmmmeee```^^^]]][[[XXXSSSPPPLLLLLLLLLKKKHHHEEEAAA@@@>>>???AAABBBBBBAAAGGGEEEBBBAAABBBFFFJJJMMMOOORRRVVVYYY[[[]]]```bbbhhhppp}}}zzzqqqhhhaaaZZZTTTQQQGGGDDDAAA>>>===<<<999777999666333111111///...,,,...,,,******+++,,,+++***))))))******))))))((('''))))))))))))))))))))))))&&&&&&&&&'''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&'''''''''''''''''''''&&&&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$###$$$$$$%%%%%%&&&&&&'''$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$""""""""""""###$$$%%%&&&$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&%%%%%%%%%(((''''''&&&$$$######"""######$$$$$$%%%%%%%%%%%%###$$$$$$%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%"""###$$$$$$$$$$$$###""""""$$$&&&%%%$$$###$$$%%%$$$######$$$&&&'''&&&%%%$$$$$$%%%%%%%%%$$$######$$$$$$$$$$$$%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&''''''''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''(((((()))))))))'''''''''(((((((((((((((((((((((((((((((((((((((((((((''''''''''''((((((''''''''''''''''''''''''&&&&&&''''''((())))))***((((((((((((((((((((((((''''''&&&&&&&&&&&&''''''''''''((())))))***++++++))))))*********+++++++++***))))))(((((())))))******+++---------///333555777<<>>AAACCCDDDDDDEEEIIIMMMIIISSSbbbqqq~~~~~~yyyvvvkkkhhhccc```]]]ZZZWWWTTTDDDAAA>>>;;;:::888666444333111...---------+++******************)))(((((())))))))))))))))))))))))&&&&&&&&&'''''''''(((((((((((((((((((((((((((((('''((((((((())))))******(((((('''''''''&&&&&&&&&''''''''''''''''''''''''&&&''''''''''''''''''&&&$$$$$$&&&&&&&&&&&&$$$$$$######$$$%%%%%%&&&''''''$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%$$$$$$#########$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%""""""!!!!!!###%%%(((***$$$$$$$$$$$$$$$$$$$$$$$$########################%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%''''''''''''''''''''''''$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&%%%$$$###"""%%%%%%%%%$$$$$$$$$######%%%%%%%%%$$$$$$#########&&&&&&%%%$$$###"""!!! $$$$$$%%%%%%%%%&&&&&&&&&'''&&&&&&%%%$$$###""""""$$$$$$%%%%%%%%%$$$$$$###""""""""""""""""""""""""########################$$$%%%&&&'''((('''&&&%%%%%%&&&&&&''''''&&&&&&%%%###$$$$$$%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"""###$$$$$$""""""###$$$(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&))))))(((((('''''''''&&&######$$$$$$%%%&&&''''''(((''''''((())))))(((&&&++++++***)))((('''&&&&&&(((((((((((((((((((((((('''&&&%%%%%%%%%%%%&&&'''(((((((((((((((''''''''')))(((((('''''''''(((((())))))(((((('''''''''&&&))))))))))))************((()))***+++,,,,,,,,,,,,,,,+++++++++,,,---,,,+++000111111222666===FFFLLLYYY```hhhnnnqqqrrrtttuuuxxxyyy{{{|||zzzwwwsssqqqpppiiidddbbb___ZZZXXXYYYVVVTTTQQQMMMKKKIIIHHHHHHBBBCCCEEEFFFHHHLLLPPPSSSYYY```ooo|||tttlllbbbZZZXXXXXXWWWUUURRROOOMMMKKKRRRQQQQQQOOOMMMJJJHHHGGGCCCBBBAAA@@@AAADDDGGGIIIGGGGGGGGGFFFEEEEEEDDDDDDAAABBBBBBCCCDDDEEEFFFFFFFFFFFFEEEDDDCCCBBBAAAAAA???@@@BBBBBBAAABBBEEEGGGMMMOOOPPPOOOMMMKKKJJJJJJFFFGGGHHHGGGFFFEEEGGGHHHIIIHHHFFFEEEDDDCCCCCCCCCFFFEEEDDDDDDEEEGGGJJJKKKMMMKKKJJJKKKNNNRRRUUUUUU[[[ZZZXXXXXXYYYZZZZZZYYYSSSQQQOOOMMMMMMNNNPPPRRR[[[```eeeggghhhmmmuuu|||~~~{{{xxxzzz~~~}}}zzz}}}{{{ppp```SSSLLLHHHDDDAAA??????BBBAAA>>>AAAEEEHHHJJJQQQ[[[gggrrrzzz~~~|||zzzwwwvvvuuurrrmmmhhhXXXNNNBBB<<<<<<>>><<<999:::888555333222000...,,,------,,,+++++++++++++++)))***************)))(((...---,,,+++***(((''''''''''''''''''''''''''''''(((((((((((((((((((((((('''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$((('''&&&%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&%%%%%%$$$######%%%%%%%%%%%%%%%%%%%%%%%%###$$$&&&''''''&&&$$$###$$$$$$$$$$$$$$$$$$$$$$$$'''''''''&&&&&&%%%%%%%%%%%%$$$###"""###$$$&&&'''$$$$$$$$$$$$$$$$$$$$$$$$########################%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&%%%$$$###"""%%%%%%%%%$$$$$$$$$######%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$############$$$$$$$$$$$$%%%%%%%%%%%%&&&%%%%%%$$$$$$#########$$$$$$$$$%%%%%%$$$$$$###########################%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&''''''&&&&&&%%%&&&&&&''''''&&&&&&%%%$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&%%%$$$$$$%%%&&&(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&)))(((((((((''''''''''''$$$$$$%%%%%%&&&''''''((((((''''''((((((((('''&&&))))))((((((''''''&&&&&&(((((((((((((((((((((((((((((('''&&&&&&'''(((((((((((()))))))))))))))))))))((((((''''''((((((((())))))((((((((('''''''''))))))))))))************'''''')))***+++,,,,,,,,,)))))))))***,,,///000000111444888>>>EEEOOOYYY___hhhoooxxx~~~~~~~~~|||wwwrrrllliiibbb\\\WWWUUURRRNNNMMMOOOMMMLLLKKKJJJJJJIIIJJJJJJKKKMMMOOORRRUUUXXX[[[^^^bbbhhhuuu}}}tttiii^^^VVVOOOOOONNNMMMKKKIIIGGGFFFKKKKKKJJJHHHFFFEEEDDDCCCFFFEEECCCCCCDDDFFFHHHIIIJJJJJJIIIHHHGGGFFFEEEEEEBBBBBBBBBBBBAAABBBBBBBBBCCCCCCCCCBBBBBBAAAAAAAAA???@@@@@@@@@AAADDDHHHLLLSSSSSSRRROOOKKKIIIIIIIIIGGGGGGHHHGGGFFFGGGJJJLLLKKKJJJIIIGGGEEECCCBBBBBBBBBAAA@@@???@@@BBBDDDEEEFFFEEEDDDFFFJJJMMMNNNNNNOOOMMMKKKLLLMMMNNNMMMLLLJJJIIIGGGFFFFFFGGGHHHJJJMMMQQQUUUVVVWWWZZZaaagggqqqtttxxx{{{||||||}}}}}}lll^^^SSSKKKDDD@@@===>>>>>><<<===AAACCCEEEJJJQQQZZZaaagggiiissswww}}}kkk___PPPFFFCCCAAA>>>;;;<<<:::888777666444111///...---,,,***))))))))))))******++++++******))))))***))))))((('''&&&%%%%%%(((((((((((((((((((((((((((((((((((((((((((((((((((''''''&&&&&&''''''(((''''''''''''''''''''''''$$$%%%%%%&&&&&&%%%%%%$$$((('''&&&%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&%%%%%%$$$######%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&&&&&&&%%%%%%%%%'''&&&$$$###"""######$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$###%%%%%%%%%$$$$$$$$$######%%%%%%%%%$$$$$$$$$$$$###"""#########$$$$$$%%%%%%#########$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$###$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%&&&''''''%%%&&&&&&''''''&&&&&&%%%$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''((('''&&&%%%&&&''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((''''''''''''%%%%%%&&&&&&'''((((((((('''''''''''''''''''''''''''''''''''''''''''''&&&(((((((((((((((((((((((())))))(((''''''((())))))(((((())))))******++++++(((((((((((((((((())))))))))))))))))(((((((((((()))))))))*********++++++'''((()))***+++,,,---...+++++++++,,,///222555777999>>>EEENNNXXXbbbkkkqqqwww~~~~~~xxxppphhhaaa\\\RRRMMMIIIHHHFFFBBBBBBFFFIIILLLPPPUUUXXXZZZZZZZZZ[[[\\\___bbbdddfffhhhiiilllooowwwzzzooocccWWWOOOGGGGGGGGGFFFEEEEEEDDDDDDDDDDDDCCCCCCCCCDDDEEEEEEIIIIIIIIIJJJLLLNNNPPPQQQSSSSSSQQQOOONNNLLLLLLKKKEEEEEEDDDBBBBBBAAAAAAAAABBBBBBCCCCCCDDDDDDEEEEEECCCCCCCCCBBBCCCGGGMMMQQQZZZYYYWWWSSSOOOLLLLLLMMMLLLLLLLLLJJJJJJLLLOOOSSSQQQPPPNNNLLLIIIFFFCCCBBBAAA@@@???>>>>>>???@@@AAA@@@AAABBBFFFIIIKKKJJJIIIFFFDDDCCCCCCDDDEEEEEEDDDCCCCCCBBBAAAAAABBBCCCDDDBBBEEEGGGGGGGGGIIINNNSSSYYY\\\___bbbccceeehhhkkknnnsss|||yyyiii^^^RRRIIIAAA??????>>>>>>AAAAAABBBEEEHHHMMMQQQTTTVVV```eeelllssswww{{{ssscccUUUNNNIIIDDD??????>>>=========;;;888666222111///---+++***))))))++++++++++++******))))))''''''''''''&&&&&&&&&%%%))))))))))))))))))))))))(((((((((((((((((((((((((((((((((''''''(((((((((((((((((((((((((((((((((%%%%%%&&&&&&&&&&&&%%%%%%''''''&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%$$$$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&%%%%%%%%%%%%'''&&&%%%$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$$$$%%%%%%""""""#########$$$$$$$$$#########$$$$$$%%%%%%%%%######$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''&&&&&&%%%$$$%%%&&&'''(((%%%&&&&&&''''''&&&&&&%%%$$$%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((('''&&&%%%&&&(((''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((('''''''''&&&'''''''''((((((((()))''''''((('''&&&&&&'''(((&&&&&&&&&''''''(((((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''((()))******++++++(((((())))))******))))))))))))))))))))))))))))))))))))*********+++++++++******++++++,,,---......000000000111444888===AAAJJJPPPXXX```gggmmmssswww}}}}}}zzzuuummmddd[[[TTTPPPHHHDDDAAABBB@@@>>>AAAFFFJJJSSS```mmmuuuwwwuuusssmmmmmmnnnpppqqqpppooommmooooooqqqvvv||||||ooocccWWWMMMFFFEEEEEEEEEDDDDDDDDDDDDDDDBBBCCCDDDFFFIIIMMMPPPQQQQQQRRRSSSUUUWWWZZZ\\\^^^___^^^[[[YYYXXXWWWVVVVVVLLLKKKJJJHHHGGGGGGGGGHHHHHHIIIJJJLLLMMMOOOPPPPPPOOOPPPOOONNNMMMNNNPPPSSS\\\]]]^^^^^^[[[YYYXXXXXXWWWVVVTTTRRRPPPRRRVVVYYYYYYYYYWWWTTTQQQLLLIIIFFFFFFEEEDDDCCCCCCCCCCCCDDDBBBCCCFFFJJJMMMNNNMMMKKKHHHGGGEEEEEEFFFGGGFFFEEEDDDDDDCCCCCCCCCCCCDDDDDDBBBCCCCCCBBBBBBCCCGGGJJJLLLNNNPPPQQQSSSVVVZZZ^^^aaafffnnnuuuyyyyyywwwuuuyyyyyy{{{zzzjjj\\\OOOIIIHHHGGGGGGIIIJJJIIIHHHGGGGGGIIILLLOOORRRVVV\\\bbbfffjjjnnnqqquuuzzzuuuhhh___VVVLLLFFFAAAAAAAAABBBCCCBBB@@@===:::888666333111...---,,,,,,++++++***))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))((((((((((((((((((((((((((((((''''''''''''((((((''''''''''''''''''''''''%%%%%%&&&&&&&&&&&&%%%%%%'''&&&&&&%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$$$$$$$###""""""#########$$$$$$$$$#########$$$$$$%%%%%%&&&"""###$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$%%%&&&'''(((%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$&&&'''&&&%%%$$$%%%&&&&&&'''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((((((((((((''''''((((((((((((((()))&&&'''((('''%%%%%%''')))'''''''''((())))))******((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&''''''((()))******(((((()))***++++++******)))*********************************+++++++++++++++++++++***+++,,,---...111333666888<<>>===???>>>???DDDKKKQQQ___sss}}}{{{yyyvvvqqqmmmllljjjiiiggghhhkkkpppssswwwqqqiii___UUULLLEEE@@@CCCCCCBBBAAAAAABBBBBBCCCEEEGGGJJJPPPVVV\\\```ccc____________```bbbeeeffffffeeebbbaaa______``````WWWVVVTTTSSSSSSSSSTTTUUUXXXXXXZZZ\\\___aaabbbccccccdddeeebbb^^^ZZZWWWVVVZZZ```gggkkkllljjjhhhgggdddccc```\\\ZZZZZZ]]]___fffeeeeeeccc___ZZZUUURRRMMMMMMLLLKKKKKKJJJJJJJJJIIIJJJLLLOOOSSSTTTSSSQQQPPPNNNLLLKKKLLLLLLKKKJJJIIIHHHGGGFFFEEEFFFGGGHHHEEEEEEDDDBBBAAABBBDDDFFFEEEFFFGGGHHHIIIKKKOOORRRSSSWWW^^^dddhhhiiigggfffiiihhhiiilllrrryyy}}}sssbbbZZZWWWVVVWWWYYY]]][[[UUUNNNGGGFFFHHHKKKGGGJJJNNNQQQTTTXXX\\\^^^bbbiiittt}}}rrreeeXXXOOODDDDDDCCCEEEFFFFFFDDDBBB@@@>>>;;;888555222000000---,,,+++***))))))))))))))))))************++++++(((((((((((((((((((((((((((((((((((((((((((((((('''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&%%%%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%""""""###$$$%%%%%%&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%%%%%%%&&&&&&'''%%%%%%%%%$$$$$$$$$#########$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%%%%$$$$$$$$$############$$$$$$$$$$$$%%%#########$$$$$$%%%%%%%%%"""###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%%%%%%%&&&''''''%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###%%%&&&%%%$$$###$$$%%%&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((((((((((((''''''((((((((((((((((((&&&'''(((&&&######&&&***'''((((((((())))))******((((((((((((((((((((((((&&&''''''((((((''''''&&&&&&&&&''''''(((((())))))'''(((***+++,,,,,,+++***************++++++++++++*********++++++++++++,,,************,,,...000111444999???EEEJJJRRR[[[bbbkkkooouuuxxxxxxwwwwwwvvvxxxyyy|||}}}|||wwwnnnhhhYYYWWWSSSOOOJJJGGGDDDCCC<<<;;;===@@@AAACCCLLLUUUcccsss}}}wwwoooiiieeeccc```\\\ZZZZZZ]]]```___\\\XXXRRRLLLGGGCCCAAA@@@?????????@@@AAACCCEEEMMMPPPVVV^^^eeelllqqqsssqqqooollliiihhhiiijjjkkkmmmllljjjiiiiiijjjlllmmmiiihhheeedddcccdddfffggglllmmmoooqqqtttwwwyyyzzzzzz{{{|||yyyrrrkkkeeebbb```hhhrrr{{{~~~}}}zzzyyytttsssppplllhhhgggiiikkkuuuvvvvvvuuurrrlllgggdddZZZZZZZZZYYYYYYXXXXXXWWWUUUUUUUUUWWW[[[]]]^^^^^^\\\ZZZXXXVVVVVVUUUTTTRRRSSSQQQNNNLLLKKKKKKMMMNNNNNNLLLIIIFFFDDDCCCCCCDDDCCCCCCCCCBBBAAABBBDDDFFFDDDGGGLLLRRRWWWYYYYYYYYYXXXWWWVVVZZZ```hhhnnnpppsssvvv|||vvvmmmiiihhhkkkpppvvvssskkk^^^QQQHHHEEEFFFAAACCCEEEGGGHHHKKKOOORRRRRRYYYeeeqqq|||ttteee\\\OOOMMMKKKJJJJJJIIIGGGEEECCCAAA>>>;;;777555333222000///---+++******++++++(((((((((((())))))))))))((((((((((((((((((((((((((((((((((((((((((((((((&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&%%%%%%%%%&&&'''''''''''''''&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%""""""###$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$%%%&&&'''(((%%%%%%%%%$$$$$$$$$############$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%%%%""""""###$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&''''''&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%###%%%&&&%%%$$$###$$$%%%&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''((((((((()))''''''''''''''''''''''''%%%'''(((&&&""""""&&&***''''''(((((((((((((((((((((((((((((((((((((((((('''((())))))))))))((('''(((((((((((((((((())))))''')))+++,,,------,,,+++*********+++++++++,,,,,,*********+++++++++,,,,,,,,,,,,---///222666:::<<>>AAAEEEHHHKKKLLLMMMKKKIIIHHHJJJQQQXXX^^^aaaaaaeeelllrrrwww{{{~~~}}}~~~{{{{{{wwwfffWWWNNNKKKDDDEEEEEECCCBBBCCCFFFHHHHHHNNNVVV___hhhsss~~~~~~tttmmmddd```ZZZVVVSSSPPPNNNLLLGGGEEEBBB???;;;999777666444333000...------...///((((((((((((((('''''''''))))))))))))))))))))))))((((((((((((((((((((((((''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%&&&'''(((&&&&&&&&&&&&''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%######$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%$$$$$$$$$$$$$$$$$$%%%########################$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$%%%&&&'''(((%%%%%%%%%$$$$$$$$$###############$$$$$$%%%%%%%%%"""######$$$&&&''''''((($$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$!!!"""###$$$%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&'''((('''&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%&&&'''$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&&&&$$$$$$%%%&&&&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((())))))'''''''''''''''&&&&&&&&&%%%'''(((&&&""""""&&&+++''''''''''''''''''''''''((((((((((((((((((((((((((()))***++++++***)))(((************))))))))))))''')))+++---...---,,,+++*********++++++,,,,,,,,,******+++++++++,,,,,,,,,...///111444999???DDDGGGWWW]]]dddiiilllpppwww}}}uuuwwwyyyxxxtttnnnkkkiii```^^^ZZZYYYXXXTTTNNNJJJDDDCCCAAA@@@@@@AAACCCDDDIIIJJJNNNTTTWWW\\\hhhttt~~~}}}vvvoooeee___RRRSSSSSSPPPLLLJJJKKKMMMLLLMMMMMMLLLKKKJJJLLLMMMFFFGGGHHHKKKOOOUUUYYY\\\eeejjjrrrzzz}}}zzz{{{}}}zzzvvvuuuyyy~~~~~~|||zzzxxxuuuqqqkkkeeecccdddgggjjjtttooohhhbbb\\\XXXTTTRRRMMMMMMLLLIIIDDDAAA@@@@@@===>>>>>>???@@@BBBCCCCCCEEEBBB@@@AAAFFFLLLQQQTTTSSSXXX^^^dddhhhllloooqqqmmmllljjjiiijjjooovvv{{{zzzhhh[[[VVVKKKKKKHHHDDDAAA???@@@BBBBBBFFFKKKPPPVVV```kkkssszzz}}}{{{vvvqqqiiibbb\\\XXXUUUSSSKKKIIIFFFCCC@@@===;;;:::777666333111000000111111******))))))((((((((((((************************((((((((((((((((((((((((((((((''''''''''''((((((((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%&&&'''(((%%%&&&&&&&&&'''(((((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$&&&''''''&&&$$$###$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%%%%&&&(((((((((&&&$$$###%%%%%%%%%%%%%%%%%%%%%%%%(((((('''''''''&&&&&&&&&%%%$$$$$$######$$$$$$%%%&&&%%%%%%$$$$$$%%%%%%&&&###$$$$$$%%%%%%$$$$$$###&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%$$$$$$#########""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%$$$$$$%%%%%%%%%%%%&&&'''(((((('''&&&%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''((((((((('''''''''&&&&&&%%%%%%%%%$$$%%%&&&&&&$$$$$$%%%&&&'''&&&&&&%%%%%%&&&&&&'''((((((((((((((('''''''''******)))(((((((((((((((((((((((((((((((((((((((''''''''''''''''''''''''((((((''''''''''''((((((&&&''''''((()))***++++++(((''''''))),,,,,,)))%%%******+++,,,...//////000---***'''(((***,,,,,,+++000---***)))***,,,//////222222333888@@@KKKUUU\\\llltttzzz{{{|||~~~~~~}}}{{{vvvsssqqqkkkbbbZZZTTTQQQMMMKKKKKKIIIFFFCCC??????AAACCCDDDGGGNNNUUUZZZ___dddeeeeeeggglllqqq~~~tttiii^^^WWWUUUPPPOOOMMMLLLKKKKKKLLLMMMNNNQQQUUUXXXXXXWWWWWWWWWTTTTTTUUUVVVYYY```gggmmmuuuyyy~~~~~~xxxsssqqqsssvvvyyy{{{uuunnnfff___[[[^^^XXXQQQMMMJJJHHHEEEBBB???>>>======???AAAAAA@@@???>>>===>>>???BBBDDDFFFNNNOOOQQQSSSVVVZZZ\\\^^^^^^\\\YYYYYY[[[```eeeiiiuuuyyy{{{pppkkk```YYYPPPHHHDDDCCCBBBBBBCCCCCCDDDGGGLLLRRRXXX[[[iiimmmsssxxx|||}}}}}}||||||wwwrrrpppnnnkkkddd^^^[[[OOOFFFEEEDDD???;;;<<<888888777555222000//////++++++++++++******))))))))))))(((((((((((())))))))))))))))))))))))))))))))))))))))))))))))))))))''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&''''''&&&%%%%%%%%%%%%&&&((('''&&&&&&(((((('''&&&''''''''''''''''''''''''&&&&&&&&&%%%%%%$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$############$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%&&&&&&'''&&&%%%$$$###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$#########%%%$$$$$$######$$$$$$%%%%%%%%%$$$$$$$$$$$$%%%%%%###$$$$$$%%%%%%$$$$$$###&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%$$$$$$$$$#########$$$$$$$$$%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%&&&'''(((((('''&&&%%%$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%$$$$$$%%%&&&&&&$$$$$$%%%&&&'''&&&&&&%%%%%%&&&&&&'''((((((((((((((((((((('''***)))((((((''''''((((((((((((((((((((((((((((((''''''''''''''''''''''''((((((''''''''''''(((((('''''''''(((((())))))***(((''''''))),,,,,,***(((******+++,,,---...//////111...++++++,,,,,,+++))),,,,,,,,,---000333555666777:::???FFFOOOZZZfffnnnxxx~~~zzzzzzuuunnniiiddd]]]TTTMMMLLLIIIEEEDDDEEEFFFEEECCCDDDFFFIIILLLPPPUUU]]]dddhhhllloooooonnnnnnpppssswww{{{zzzmmmeee]]]TTTNNNMMMMMMMMMNNNOOOQQQSSSUUUVVVZZZ]]]```bbbbbbbbbbbbcccccceeefffiiilllrrryyy~~~~~~xxxrrrlllhhhfffaaa[[[VVVSSSQQQMMMJJJFFFDDDAAA@@@AAA@@@???=========<<<;;;<<<===???AAABBBCCCDDDFFFIIILLLNNNOOOQQQOOOMMMMMMOOOSSSYYY\\\bbbgggnnnxxxtttmmmbbbVVVNNNHHHEEEDDDEEEEEEEEEFFFHHHKKKNNNPPPXXX\\\cccjjjqqqvvvyyy{{{{{{yyywwwxxxzzzyyytttoooiii\\\PPPKKKFFF@@@===>>>;;;;;;:::888666444444444//////...---,,,++++++***++++++***)))(((((((((((())))))))))))))))))))))))))))))))))))))))))))))))''''''''''''''''''''''''&&&''''''((((((''''''&&&''''''&&&%%%%%%%%%%%%&&&&&&%%%$$$$$$&&&&&&%%%$$$''''''''''''''''''''''''&&&&&&&&&%%%%%%$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%$$$$$$$$$######$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%######""""""######$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$#########"""""""""%%%$$$$$$######$$$$$$%%%$$$$$$############$$$$$$###$$$$$$%%%%%%$$$$$$###&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%$$$$$$$$$$$$###$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&''''''''''''&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&%%%$$$$$$######%%%%%%%%%%%%$$$$$$$$$$$$$$$&&&'''&&&%%%$$$%%%&&&'''&&&&&&%%%%%%&&&&&&'''''''''(((((((((((((((((())))))((('''''''''''''''(((((((((((((((((((((((((((((((((((((((((((((((()))((((((''''''(((((()))'''''''''((((((((((((((((((''''''(((+++,,,,,,+++))))))***+++,,,------...111///...---...---,,,***'''))),,,///333777999;;;AAAHHHQQQXXX___iiiuuu}}}|||vvvqqqkkkccc\\\WWWPPPIIICCCEEEBBB???>>>AAADDDFFFGGGNNNRRRXXX^^^dddkkkqqqtttwwwxxxyyyxxxuuurrrppppppmmmnnnqqquuuzzz}}}|||{{{lllddd[[[VVVPPPJJJHHHIIIIIILLLPPPUUUZZZ^^^```aaahhhjjjmmmnnnnnnnnnoooqqqppprrrvvvyyy}}}|||xxxvvvrrrnnniiiddd```\\\XXXUUUOOOMMMJJJIIIHHHFFFDDDBBBBBBAAA???>>>======>>>>>><<<<<<<<<===???AAABBBCCCEEECCCBBBAAACCCGGGKKKNNNPPPTTT[[[dddooo{{{wwwiii]]]TTTNNNLLLJJJIIIHHHGGGFFFFFFFFFFFFHHHLLLRRRZZZbbbjjjpppsssuuuuuuxxx~~~{{{nnn^^^TTTKKKDDD@@@???;;;;;;999888777666555555444444333111///...,,,,,,---,,,+++)))((((((''''''))))))))))))))))))))))))))))))))))))))))))))))))''''''''''''''''''''''''&&&''''''((((((''''''&&&''''''&&&%%%%%%%%%%%%&&&&&&%%%$$$$$$&&&&&&%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&######"""""""""###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''$$$$$$######"""######$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%$$$######""""""######$$$###$$$$$$%%%%%%$$$$$$###&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%&&&'''&&&%%%$$$%%%''''''&&&&&&%%%%%%&&&&&&'''''''''''''''(((((((((((()))(((((('''''''''''''''(((((((((((((((((((((((((((((((((((((((((((((((())))))(((((((((((())))))((((((((('''''''''''''''(((''''''''')))***+++,,,((())))))***++++++,,,,,,------------......---,,,***,,,000444888===BBBFFFPPPXXXbbbgggiiinnnwww~~~xxxpppeee```XXXRRRMMMJJJFFFCCCBBB@@@??????CCCIIIOOORRR^^^gggqqqxxx~~~~~~}}}{{{yyyuuupppkkkiiihhhfffdddcccccccccddddddZZZSSSNNNLLLJJJHHHIIIMMMOOOSSSZZZbbbiiimmmpppqqqsssuuuvvvwwwvvvwwwyyy{{{yyy|||~~~zzztttnnniiidddaaaZZZXXXVVVVVVUUUTTTRRRPPPMMMLLLIIIGGGDDDCCCBBBAAA@@@@@@????????????@@@@@@???>>>======>>>AAADDDFFFGGGJJJNNNTTT\\\fffrrryyy{{{oooeee___]]]VVVTTTPPPLLLIIIFFFEEEEEECCCDDDHHHMMMTTT[[[aaaeeehhhkkkqqqzzz~~~ooobbbWWWLLLEEEAAA@@@>>>;;;999999888888777888777666444222000...---,,,+++***)))(((((((((((())))))))))))))))))))))))((((((((((((((((((((((((''''''''''''''''''''''''''''''((((((((((((''''''''''''&&&%%%%%%%%%%%%&&&((('''&&&&&&(((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&#########"""###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%&&&&&&'''$$$###"""""""""###$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''&&&&&&&&&&&&%%%$$$$$$######$$$$$$%%%$$$######""""""######$$$###$$$$$$%%%%%%$$$$$$###&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&'''&&&&&&&&&%%%%%%&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&'''''''''((($$$$$$$$$$$$$$$$$$$$$$$$%%%&&&''''''%%%%%%&&&''''''&&&&&&%%%%%%&&&&&&'''&&&'''''''''(((((())))))))))))((('''''''''''''''))))))))))))))))))))))))))))))))))))))))))))))))))))))(((((((((((())))))((((((((((((((('''''''''&&&''''''''''''(((***+++((())))))******+++++++++,,,,,,---,,,,,,,,,------111444999???EEEMMMUUU\\\```gggppprrrqqqpppuuuzzzyyynnndddXXXSSSMMMGGGDDDCCCBBBAAA???@@@AAAEEELLLVVV```fffsss{{{wwwsssnnngggbbbbbb___[[[VVVRRRQQQRRRSSSMMMHHHFFFGGGHHHHHHLLLRRRZZZ___gggooowww|||}}}zzzuuurrrkkkiiigggffffffccc```^^^ZZZXXXUUURRRNNNKKKIIIGGGHHHGGGEEEDDDBBBAAAAAA@@@>>>======<<<===>>>???@@@BBBCCCEEEHHHMMMTTT]]]ccclllooossssssrrrqqqsssvvvvvvrrrpppjjjfff___WWWPPPJJJFFFEEEAAAAAABBBDDDHHHMMMSSSVVVXXX]]]fffrrr~~~wwwjjj___TTTLLLJJJFFFBBB???>>>===;;;999:::999888666444222111000+++***))))))((()))))))))************************(((((((((((((((((((((((((((((((((((((((((((((((('''(((((((((((((((((('''''''''&&&%%%%%%%%%%%%&&&((('''&&&&&&(((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%&&&&&&###############$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$%%%$$$$$$######$$$$$$%%%$$$$$$############$$$$$$###$$$$$$%%%%%%$$$$$$###&&&%%%%%%$$$$$$%%%%%%&&&###$$$$$$$$$$$$%%%%%%%%%""""""#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&''''''((())))))$$$$$$$$$$$$%%%%%%%%%%%%%%%'''((('''&&&%%%&&&''''''&&&&&&%%%%%%&&&&&&'''&&&&&&''''''((()))))))))******)))((((((((((((((())))))))))))))))))))))))))))))))))))))))))))))))***))))))(((((())))))***((((((((()))))))))))))))'''((())))))(((((()))***))))))*********+++++++++.........---,,,---///111555;;;DDDLLLTTT^^^hhhpppooouuuzzz{{{xxxuuuvvvxxx{{{}}}|||vvvqqqjjj```VVVLLLIIIDDD@@@>>>===???@@@AAADDDIIIPPPYYYfffrrrzzzyyyssspppjjjbbb[[[XXXVVVSSSMMMIIIGGGHHHJJJGGGDDDDDDGGGIIIKKKQQQYYY```dddlllttt|||}}}{{{xxxuuupppllljjjhhheeeaaa]]]XXXUUUSSSQQQPPPMMMJJJHHHEEEDDDCCCAAAAAA@@@???>>>>>>>>>===<<<===>>>@@@BBBHHHNNNSSSVVV[[[```ccccccdddfffiiiqqqxxx~~~{{{tttjjj___TTTLLLGGGAAA@@@??????AAAEEEIIIKKKLLLQQQZZZgggvvvwwwkkkaaaUUUOOOHHHCCCAAA???;;;777;;;:::999888777666555555------,,,+++************************************))))))))))))))))))))))))(((((((((((((((((((((((('''(((((())))))(((((('''''''''&&&%%%%%%%%%%%%&&&&&&%%%$$$$$$&&&&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%%%%&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$%%%%%%&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%!!!"""$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$######%%%$$$$$$######$$$$$$%%%%%%%%%$$$$$$$$$$$$%%%%%%###$$$$$$%%%%%%$$$$$$###&&&%%%%%%$$$$$$%%%%%%&&&######$$$$$$$$$%%%%%%%%%#########$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&'''(((&&&&&&%%%$$$$$$%%%&&&&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%%%%&&&&&&&&&&&&&&&'''((('''&&&%%%&&&((('''&&&&&&%%%%%%&&&&&&'''&&&&&&''''''((())))))***++++++***)))))))))))))))))))))))))))))))))))))))******************************))))))))))))******(((((())))))******++++++(((+++------***))))))************+++++++++++++++---...//////000444:::???CCCLLLXXXbbbiiipppxxx~~~}}}xxxuuutttooooookkkddd```[[[SSSJJJEEEDDDBBBAAAAAADDDGGGJJJQQQTTTZZZ```hhhsss~~~~~~rrrjjjfff```WWWOOOMMMNNNMMMJJJGGGFFFHHHKKKLLLKKKLLLPPPRRRUUU\\\eeegggkkkrrr{{{}}}xxxsssnnnjjjhhhcccaaa^^^ZZZVVVSSSPPPOOOLLLLLLKKKIIIGGGEEEDDDCCC<<<===>>>>>>???AAAEEEHHHFFFKKKQQQTTTTTTVVVYYY\\\```fffooowww}}}wwwiii[[[SSSHHHGGGDDDBBBAAABBBCCCDDDEEEIIIOOOZZZgggwwwwwwddd]]]SSSLLLHHHDDD???:::;;;;;;;;;;;;;;;;;;;;;;;;444333111///---,,,+++***************************))))))))))))))))))))))))(((((((((((((((((((((((((((((())))))))))))((((((''''''&&&%%%%%%%%%%%%&&&&&&%%%$$$$$$&&&&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%&&&&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%!!!"""$$$&&&'''&&&$$$###%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%%%%$$$$$$%%%$$$$$$$$$$$$$$$$$$%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$%%%%%%$$$$$$$$$&&&%%%%%%$$$$$$%%%%%%&&&#########$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%&&&'''(((&&&&&&$$$$$$$$$$$$&&&&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$'''&&&&&&%%%%%%$$$$$$###%%%%%%%%%&&&&&&'''''''''&&&'''((('''&&&&&&'''((('''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&'''((())))))***,,,++++++***************))))))))))))))))))))))))******************************))))))))))))******(((((()))***+++,,,,,,---***---000000---***)))***+++++++++++++++,,,,,,,,,)))+++...111555<<>>@@@BBB===BBBGGGJJJJJJKKKNNNQQQUUUZZZaaagggmmmuuu~~~|||kkkaaaSSSPPPLLLGGGDDDBBBAAA@@@CCCEEEHHHNNNYYYhhhwwwvvvmmmbbbZZZUUUPPPIIIDDD<<<<<<======>>>>>>??????:::999666222///---+++***************************))))))))))))))))))))))))))))))))))))))))))))))))(((((())))))))))))((((((''''''&&&%%%%%%%%%%%%&&&((('''&&&&&&(((((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%%%%%%%&&&&&&'''''''''$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%$$$$$$#########&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$###$$$######""""""######$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%'''%%%""" """%%%'''###$$$$$$%%%%%%$$$$$$###"""!!!!!!!!!###$$$###"""$$$%%%%%%&&&&&&%%%%%%$$$%%%$$$######%%%%%%$$$###%%%%%%%%%&&&&&&%%%$$$$$$''''''''''''''''''''''''&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%&&&&&&$$$$$$%%%&&&(((((('''''''''&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&'''&&&$$$######$$$&&&'''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''))))))((('''&&&%%%%%%$$$''')))***)))((('''(((***++++++++++++,,,---......+++(((%%%&&&(((******)))++++++)))(((''''''''''''))))))))))))))))))))))))+++*********))))))(((((())))))***+++++++++++++++***+++++++++***,,,///222111333555777>>>IIIXXXcccqqqzzz{{{qqqhhhbbbXXXVVVRRRMMMHHHFFFHHHJJJFFFIIILLLPPPVVV]]]dddiiillloootttvvvxxx{{{{{{lll\\\UUUNNNFFFBBBCCCDDDFFFHHHIIIJJJOOOWWW]]]aaahhhmmmlllnnnvvv~~~~~~{{{{{{{{{{{{{{{{{{{{{{{{~~~}}}~~~{{{vvvrrrppppppqqqsssooonnnmmmoooqqqqqqmmmiiieeefffgggiiikkklllmmmmmmooommmmmmmmmnnnnnnlllkkkooonnnnnnnnnoooqqqrrrsssuuuuuuuuuvvvzzz|||wwwsssmmmllliiiffffffeee]]]SSSTTTNNNGGGFFFIIIIIIEEEAAABBBAAAAAACCCFFFIIIIIIHHHKKKOOOTTTXXX\\\bbbjjjpppxxxuuuhhhbbbYYYNNNGGGCCCDDDEEECCCCCCCCCEEEKKKXXXhhhssswwwnnniiieeeYYYNNNIIIEEE@@@>>>??????>>><<<>>>;;;666333222000...---+++***)))(((((('''''''''&&&'''((())))))(((''''''((((((((((((((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''$$$%%%%%%&&&&&&%%%%%%$$$&&&'''''''''&&&%%%%%%$$$''''''''''''''''''''''''&&&&&&&&&%%%%%%$$$$$$$$$&&&%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$######$$$$$$%%%&&&%%%%%%%%%$$$$$$$$$######%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$###$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%&&&$$$"""!!!!!!"""$$$&&&$$$$$$%%%%%%%%%%%%$$$$$$!!! """$$$&&&&&&%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&$$$###$$$%%%&&&%%%$$$%%%%%%%%%&&&&&&%%%%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%&&&''''''%%%%%%&&&''''''''''''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&'''''''''$$$$$$%%%%%%%%%%%%&&&&&&'''&&&%%%$$$$$$%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''((((((((('''&&&&&&%%%%%%''')))***)))((('''((()))*********++++++---...///...,,,)))(((******)))((()))(((((((((((())))))***))))))))))))))))))))))))+++*********)))))))))))))))******+++++++++*********+++,,,,,,,,,,,,...000222666<<>>>>>===;;;AAA>>>;;;999888888666444...---+++***))))))******'''((()))******)))((((((((((((((((((((((((((((((''''''''''''''''''''''''''''''''''''''''''''''''$$$%%%%%%&&&&&&%%%%%%$$$&&&'''''''''&&&&&&%%%$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&&&&%%%%%%%%%$$$&&&&&&%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%&&&&&&&&&%%%$$$$$$%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$############$$$$$$$$$$$$%%%%%%%%%%%%$$$$$$!!! """&&&((((((((($$$%%%%%%&&&&&&%%%%%%$$$&&&%%%$$$%%%&&&'''&&&$$$$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&'''((((((&&&&&&'''(((&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&&&&'''''''''(((((($$$$$$%%%%%%%%%%%%&&&&&&((('''&&&%%%%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''((())))))''''''((())))))))))))***+++---...///222///,,,++++++***)))'''&&&&&&'''((()))+++,,,---))))))))))))))))))))))))***************)))))))))***************************,,,.../////////111222999???IIITTT___kkkxxxzzzpppdddZZZRRRMMMFFFFFFEEEDDDEEEHHHNNNSSSbbbfffmmmtttzzz~~~~~~xxxqqqmmmkkkffffffiiiooosssqqqiiiaaaTTTKKKCCCBBBBBBBBBBBBDDDEEEIIIPPPVVV\\\dddmmmtttzzzuuussssssrrruuutttrrrooollljjjgggfffgggeeebbb```^^^___``````aaacccddddddeeegggjjjmmmnnnnnnnnnooopppnnniiiffffffeeecccaaa```___^^^^^^^^^]]]\\\\\\\\\[[[XXXUUUWWWWWWXXXXXXYYYYYYXXXXXXZZZZZZZZZ\\\]]]\\\YYYVVVTTTSSSQQQOOOOOOPPPQQQSSSPPPQQQRRRTTTWWW[[[^^^```cccdddeeegggiiiiiifffddddddbbb```___bbbggglllppp}}}wwwqqqjjjgggfffccc^^^XXXTTTRRRQQQPPPNNNKKKGGGDDDDDDDDDEEEEEEGGGKKKPPPTTTWWW^^^eeeiiikkknnntttzzz~~~wwwmmmaaaTTTLLLLLLKKKIIIFFFEEEGGGKKKNNNUUU___hhhnnnsss}}}zzznnn___WWWKKKCCC@@@@@@??????===<<<::::::;;;;;;999777222111...,,,++++++,,,,,,((())))))******))))))(((((((((((((((((((((((((((''''''''''''''''''''''''((((((((((((((((((((((((%%%%%%&&&&&&&&&&&&%%%%%%&&&''''''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&&&&&&&&&&'''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%###$$$$$$%%%%%%$$$$$$###$$$%%%%%%%%%%%%%%%%%%$$$"""""""""###&&&((((((((($$$%%%%%%&&&&&&%%%%%%$$$'''&&&%%%%%%''''''&&&%%%$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%'''((('''&&&%%%&&&'''&&&&&&%%%%%%%%%$$$$$$$$$&&&&&&&&&&&&''''''''''''$$$$$$$$$%%%%%%%%%&&&&&&((('''&&&&&&&&&&&&'''(((%%%%%%&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&'''''''''(((((('''((()))(((''''''((()))((((((((()))+++,,,...///000///---,,,+++***)))((('''''''''((()))+++,,,---))))))))))))))))))))))))************************,,,++++++***************+++,,,...000111555999===EEEMMMYYYcccllluuu~~~yyyooocccXXXPPPJJJHHHAAACCCFFFIIIOOOXXXaaagggqqqvvv{{{sssjjjccc```ZZZXXXWWWXXX[[[ZZZVVVQQQLLLGGGCCCBBBDDDFFFGGGHHHMMMTTT]]]fffnnnwwwwwwoookkkiiiiiiiiimmmllljjjhhheeebbb```^^^cccbbbaaaaaaaaabbbcccdddhhhiiiiiihhhggggggiiikkknnnmmmmmmnnnooonnnkkkiiiiiiiiiiiihhhgggfffeeeeeecccbbbbbbaaa```___]]][[[^^^^^^______^^^]]]\\\[[[]]]]]]]]]]]]]]][[[WWWTTTVVVUUURRRPPPPPPPPPQQQRRRMMMNNNOOOPPPRRRUUUVVVWWWXXXXXXYYYZZZ[[[[[[[[[ZZZ[[[YYYVVVUUUVVV[[[___cccmmmzzzyyywwwtttqqqnnngggfffdddbbb^^^XXXQQQLLLIIIHHHFFFEEEDDDFFFHHHKKKPPPUUU[[[^^^___bbbgggkkkrrryyywwwggg\\\WWWUUUQQQMMMIIIGGGHHHHHHKKKPPPVVVYYY___iiiuuu|||~~~pppeeeWWWLLLFFFEEECCCBBB::::::999:::<<<<<<;;;:::999666222///,,,++++++,,,)))))))))))))))(((((((((((((((((((((((((((((((((''''''''''''''''''''''''((((((((((((((((((((((((%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&''''''''''''&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$#########$$$$$$%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$%%%%%%&&&&&&%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%###$$$%%%%%%%%%%%%$$$###%%%%%%%%%&&&&&&%%%%%%%%%%%%$$$###$$$&&&''''''&&&$$$%%%%%%&&&&&&%%%%%%$$$'''&&&%%%%%%''''''&&&%%%###$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$&&&&&&&&&%%%$$$%%%&&&&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&$$$$$$$$$%%%%%%%%%&&&&&&'''''''''&&&&&&'''''''''%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''%%%%%%&&&&&&'''(((((((((&&&((()))((('''&&&'''(((((((((((()))***+++------++++++,,,+++************)))))))))))))))***++++++***************************************+++++++++---,,,++++++++++++,,,,,,***+++---000444<<>>===>>>???@@@???>>>>>>;;;777222///,,,++++++***))))))(((((('''''''''))))))))))))))))))))))))((((((((((((((((((((((((((((((((((((((((((((((((%%%&&&&&&''''''&&&&&&%%%&&&&&&'''((((((''''''&&&''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$%%%&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%$$$###$$$&&&'''&&&%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%$$$%%%&&&'''&&&$$$######$$$%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&$$$%%%&&&&&&$$$$$$%%%&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&'''''''''''''''''''''''''''''''''&&&&&&&&&'''''''''((((((&&&'''((((((&&&&&&'''((((((((((((((()))***+++,,,''')))***+++***)))***+++++++++***)))))))))***************************************+++++++++++++++...---,,,+++,,,---//////+++---111666===GGGRRRYYYaaahhhqqqwww{{{|||qqqccc]]]SSSIIICCCAAAAAABBBJJJOOOXXXbbblllxxxyyynnncccZZZSSSNNNIIIFFFCCCBBBCCCEEEFFFFFFBBBGGGLLLOOOVVV___dddeeeqqqyyy}}}{{{xxxwwwvvvtttrrrpppkkkjjjhhhhhhjjjkkkkkkjjjnnnnnnlllllllllmmmnnnooopppqqqtttwwwyyy{{{|||}}}~~~}}}|||yyywwwxxx{{{~~~}}}{{{|||}}}~~~~~~}}}}}}~~~|||yyyvvvtttqqqnnnllliiieeebbbbbbbbbcccdddddddddcccbbbaaa```^^^\\\[[[ZZZ[[[[[[TTTVVVWWWWWWVVVUUUUUUVVVVVVUUUSSSRRRRRRRRRSSSTTTUUU\\\fffppptttsssooollllllllllllkkkjjjkkkmmmooouuu||||||ppphhhbbb___[[[XXXTTTPPPLLLHHHEEEGGGIIIJJJKKKNNNQQQSSSXXX\\\dddnnnvvv||||||xxxqqqjjjbbbYYYQQQLLLKKKGGGDDDDDDEEEGGGOOOWWWcccooo~~~{{{mmmaaaVVVKKKDDDDDDBBB???>>>?????????>>>@@@>>>;;;777444000...---++++++)))((((((((((((((())))))))))))))))))))))))((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&&&&&&&'''(((((((((((('''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$&&&'''''''''&&&%%%%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%###$$$%%%%%%&&&&&&&&&%%%$$$$$$############$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%###""""""###&&&''''''&&&$$$%%%%%%&&&&&&%%%%%%$$$&&&$$$###$$$%%%&&&%%%$$$"""###$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&%%%&&&'''&&&%%%$$$%%%''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%%%%&&&&&&&&&'''$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%&&&''''''(((''''''''''''''''''''''''&&&&&&&&&'''''''''''''''&&&'''((((((&&&&&&'''((())))))((((((((())))))***&&&)))+++,,,***)))***++++++******))))))******+++*********************************++++++,,,,,,,,,...---,,,,,,---///111333222777>>>FFFOOOXXXaaaggglllqqqwwwzzz{{{|||vvviii]]]RRRNNNHHHCCCCCCFFFKKKNNNYYY^^^gggpppxxx{{{mmm```XXXRRRNNNKKKFFFEEECCCBBBDDDGGGIIIJJJJJJRRRZZZ```iiiuuu||||||}}}yyyvvvuuutttqqqnnnnnnoooqqqqqqqqqssstttvvvzzz}}}}}}{{{yyyzzzxxxvvvuuuvvvxxx{{{}}}~~~|||{{{yyywwwuuuxxx{{{~~~~~~}}}{{{xxxvvvrrrnnnkkkjjjjjjjjjfffhhhkkkjjjgggeeeeeefffgggfffeeebbb```]]][[[ZZZWWWYYY\\\```cccdddcccbbb___``````___]]]]]]^^^___bbbiiisssyyyvvvrrrnnnjjjddd\\\WWWOOOOOONNNMMMLLLLLLNNNOOORRRSSSYYYaaafffiiisssxxxmmm```VVVSSSLLLGGGFFFDDDBBBEEELLLRRR^^^oooyyymmm___VVVKKKHHHCCC???????????????@@@??????===:::777444333...---,,,******)))******))))))))))))))))))))))))((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&'''(((((((((((((((%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$&&&'''((('''&&&%%%%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$$$$$$$$$$$$$$$$&&&%%%%%%$$$$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%###$$$%%%%%%&&&&&&&&&&&&$$$##################$$$$$$$$$$$$$$$$$$$$$$$$$$$######$$$$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%&&&%%%&&&&&&''''''&&&&&&%%%!!! ###&&&(((((('''$$$%%%%%%&&&&&&%%%%%%$$$%%%$$$######%%%%%%$$$###"""###$$$%%%&&&&&&'''&&&''''''''''''''''''''''''&&&%%%%%%$$$$$$%%%%%%&&&&&&'''((('''&&&&&&'''((((((((('''''''''&&&&&&&&&&&&&&&&&&'''''''''(((((($$$$$$%%%%%%%%%&&&&&&&&&$$$%%%%%%&&&&&&%%%%%%$$$$$$$$$%%%%%%&&&'''((((((''''''''''''''''''''''''''''''''''''''''''''''''&&&'''((('''&&&&&&'''(((******)))((((((((((((((('''***------***))))))+++******))))))***+++,,,,,,*********************************++++++,,,,,,,,,......------...111333555;;;AAAKKKUUU^^^ffflllppptttwwwyyyyyywwwwwwyyy{{{vvvzzz{{{wwwpppgggYYYMMMFFFDDDBBBBBBGGGPPPXXX^^^ggglllssszzzyyyooo```UUUNNNLLLLLLKKKHHHGGGGGGGGGJJJLLLOOOQQQWWWaaajjjpppzzz{{{vvvttttttttttttrrroooooorrrvvvzzz{{{|||zzz{{{{{{zzz}}}{{{xxxxxxxxxzzzzzzxxxuuuqqqlllgggeee___]]]\\\\\\^^^```aaaaaa___```aaa```^^^]]]^^^___XXX]]]fffoooxxx~~~wwwmmmfff^^^]]]YYYUUURRROOONNNNNNRRRQQQTTTYYYZZZZZZcccooowww~~~nnnbbb]]]UUUNNNLLLGGGAAAAAAGGGEEEQQQbbbssstttkkkVVVQQQJJJFFFDDDDDDEEEEEE??????@@@@@@???===:::888000///...,,,++++++,,,,,,))))))))))))))))))))))))))))))))))))))))))))))))%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&''''''''''''&&&&&&&&&&&&'''((())))))((((((''''''''''''''''''''''''$$$$$$$$$%%%%%%&&&&&&&&&&&&%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%###$$$&&&(((((('''&&&%%%$$$$$$$$$%%%%%%&&&&&&&&&)))(((((('''%%%$$$######%%%%%%%%%%%%%%%%%%%%%%%%$$$###""""""$$$&&&&&&%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&%%%%%%$$$$$$$$$"""###$$$$$$&&&&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$########################%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$###$$$$$$$$$%%%&&&&&&''''''&&&&&&%%%&&&&&&''''''''''''&&&&&&&&&%%%$$$###$$$$$$&&&''')))))))))(((((('''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''(((((((((((())))))))))))---+++(((&&&%%%%%%&&&'''''''''''''''''''''''''''&&&''''''((()))******+++(((((()))************)))++++++++++++******))))))************************...---++++++,,,,,,+++***...,,,...333333111666???HHHRRR\\\dddllluuuyyyyyyxxxxxxxxxvvvtttrrrooommmmmmiiiddd___[[[TTTLLLFFFCCCFFFIIINNNUUU]]]fffkkkuuuvvvwwwzzz~~~oooaaaTTTNNNIIIDDDDDDHHHMMMNNNQQQSSSUUUZZZ```dddmmmttt}}}zzzxxxzzz}}}{{{|||~~~|||vvvqqqnnnjjjjjjlllnnnmmmlllmmmkkkhhhgggfffccc```^^^bbb^^^___eeekkkoootttyyy{{{wwwuuuyyywwwuuupppkkkeee]]]TTTOOOOOOMMMPPPUUUUUUTTTZZZbbbooovvvyyyuuunnnbbbUUUKKKFFFFFFFFFIIIMMMTTT^^^kkk|||~~~ooo```SSSNNNLLLIIIHHHKKKEEEDDDCCCBBBBBB@@@===;;;666555222000...------...+++,,,,,,,,,+++***((('''((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''((((((((('''%%%%%%&&&&&&&&&%%%'''''''''''''''''''''''''''''''''&&&&&&%%%%%%%%%'''''''''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%######$$$%%%$$$###$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$###$$$$$$%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%#########$$$$$$#########&&&&&&''''''''''''&&&&&&''''''&&&&&&%%%&&&&&&&&&)))((('''&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''(((((((((((())))))))))))***)))((('''''''''(((((((((((((((((((((((((((((('''''''''((()))*********((()))******++++++******++++++++++++*********)))************************++++++++++++,,,,,,,,,+++///---///444666:::CCCNNN^^^hhhrrrvvvzzz~~~}}}zzzvvvqqqlllgggddd\\\XXXSSSPPPNNNLLLHHHDDDEEEJJJQQQZZZccckkkrrrvvv{{{{{{{{{{{{|||}}}~~~~~~vvvdddXXXNNNJJJHHHEEEGGGKKKSSSVVV[[[```eeellltttyyy~~~|||{{{zzzyyyzzz|||~~~~~~}}}|||}}}~~~|||yyytttqqqiiidddbbbdddggggggjjjmmmppppppqqqqqqpppmmmkkkiiinnnqqqyyyxxxoooeee___[[[UUUQQQQQQPPPOOOSSSZZZ```eeeppp{{{~~~{{{{{{}}}~~~tttgggZZZPPPJJJGGGJJJLLLPPPVVV___kkkwwwsssddd\\\VVVOOOLLLMMMIIIFFFDDDBBBBBBAAA???===:::888666333111///......+++,,,,,,,,,+++***)))(((************************((((((((((((((((((((((((((((((''''''''''''(((((()))'''%%%%%%&&&&&&&&&%%%''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%(((&&&$$$$$$%%%%%%###"""$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%&&&&&&''''''''''''&&&&&&(((((((((((('''&&&&&&%%%'''&&&%%%$$$$$$&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%)))))))))(((((('''''''''''''''''''''''''''''''''(((((((((((())))))))))))((())))))))))))))))))((())))))))))))))))))))))))''''''(((((())))))******)))******+++++++++++++++++++++++++++************++++++++++++++++++++++++***+++,,,---............111000333888???HHHVVVcccuuu|||tttkkkbbbZZZVVVMMMIIIEEECCCCCCEEEFFFGGGNNNTTT]]]hhhqqqxxx{{{}}}~~~}}}{{{yyyvvvsssqqqppprrrnnnkkkmmmqqqnnncccZZZVVVOOOJJJIIIKKKMMMPPPUUUbbbffflllrrryyy}}}xxxuuuttttttuuuyyy~~~{{{|||~~~zzz{{{xxxrrrqqqpppmmmmmmpppmmmmmmmmmmmmllljjjiiihhhffffffiiissszzzoooeeeZZZTTTRRRPPPQQQSSSVVVXXX```iiimmmlllnnnrrr}}}pppaaaUUUOOOLLLMMMMMMNNNQQQXXX```fffwwwzzzpppggg]]]WWWUUUPPPLLLGGGDDDDDDDDDDDDDDD@@@???<<<888555333111000,,,,,,---,,,,,,+++))))))************************((((((((((((((((((((((((((((((''''''''''''(((((()))'''%%%%%%&&&'''&&&%%%'''''''''''''''''''''''''''&&&&&&&&&&&&%%%%%%%%%'''&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&&&&%%%$$$$$$###""""""%%%%%%%%%%%%%%%%%%%%%%%%'''%%%$$$%%%&&&&&&$$$"""%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&''''''((((((((((((''''''%%%&&&&&&''''''&&&&&&%%%''''''(((((((((&&&$$$#########$$$%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&))))))(((((('''&&&&&&&&&''''''''''''''''''''''''(((((((((((()))))))))))))))***+++,,,+++***((('''))))))))))))))))))))))))'''((((((((()))))))))*********+++,,,,,,,,,,,,++++++++++++++++++++++++++++++++++++++++++++++++++++++,,,...000000000111222222555;;;BBBKKKXXXgggssszzznnnbbbVVVMMMHHHFFFDDDAAA@@@CCCIIINNNRRR\\\aaaiiirrryyy||||||{{{|||{{{xxxtttooojjjfffddddddaaa]]]\\\\\\ZZZUUUQQQMMMLLLLLLPPPVVV\\\cccgggvvvzzz}}}{{{{{{zzzzzz~~~zzzvvvwwwzzzyyyxxx}}}~~~|||zzzxxxwwwvvvnnnkkkiiimmmwww~~~ooofffbbb^^^YYYUUUWWWVVVXXX]]]``````dddhhhnnnrrryyysssgggaaaVVVTTTPPPLLLJJJMMMSSSWWWcccjjjuuu|||rrrhhhcccXXXSSSLLLGGGFFFHHHJJJKKKGGGEEEBBB>>>;;;777555333///......---,,,++++++***((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''''''''(((((()))'''&&&%%%&&&'''&&&%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$&&&%%%%%%$$$$$$#########%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%''''''&&&$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&%%%%%%$$$$$$###$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&&&&'''$$$$$$%%%%%%%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&%%%%%%%%%&&&'''''''''%%%$$$###!!!$$$'''((('''&&&$$$&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''(((((((((((((((((((((((('''''''''&&&&&&&&&%%%%%%''''''''''''''''''''''''(((((((((((())))))))))))***+++---...---+++(((&&&(((((((((((((((((((((((((((((((((((())))))))))))******+++,,,,,,,,,,,,++++++++++++++++++++++++,,,+++++++++++++++++++++++++++---/////////000333555888>>>GGGPPPYYYfffrrrzzz|||qqqcccVVVLLLDDD@@@???@@@BBBFFFMMMUUU^^^ccclllnnnssszzz|||~~~{{{vvvpppiiibbb]]][[[WWWXXXXXXTTTOOOMMMOOORRRLLLPPPUUU\\\dddnnnvvvzzz}}}zzz|||}}}}}}yyy|||yyywwwyyy~~~{{{sssggg]]][[[VVVSSSTTTVVVVVVYYY^^^bbbhhhpppxxxxxxtttiiiddd]]]TTTMMMKKKLLLOOOQQQUUU]]]iiivvv|||tttccc\\\SSSKKKIIIJJJLLLMMMKKKJJJHHHDDD@@@===:::888333222111///...,,,,,,+++))))))))))))))))))))))))))))))))))))))))))))))))((((((''''''''''''(((((()))(((&&&&&&'''''''''&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%%%%%%%%%%%%%$$$"""######$$$%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%######$$$&&&(((((('''%%%&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''(((%%%&&&&&&''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%$$$ """%%%'''((('''&&&$$$&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''(((((((((((())))))))))))+++,,,---......,,,***)))(((((((((((((((((((((((((((((((((((()))))))))))))))******+++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,***,,,...//////222888===DDDMMMWWW]]]eeeoooxxx|||tttmmmbbbUUUKKKDDDAAA@@@;;;@@@IIIRRR\\\fffoootttzzz{{{|||tttkkkbbbZZZTTTRRRMMMRRRTTTQQQJJJIIINNNUUUVVV]]]fffllluuu~~~~~~}}}sssggg___WWWTTTSSSQQQSSSWWW\\\bbbjjjrrrzzz|||yyyqqqfffZZZPPPKKKIIIFFFFFFKKKUUU```kkkyyytttkkk^^^TTTNNNLLLLLLLLLMMMMMMKKKIIIEEEBBB???===888666444222///...---,,,++++++++++++++++++++++++))))))))))))))))))))))))((((((''''''''''''((((((***(((&&&&&&'''((('''&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&&&&'''%%%%%%%%%&&&&&&&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&&&&'''''''''$$$%%%%%%%%%%%%%%%%%%&&&######$$$%%%&&&'''((((((%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%'''((((((&&&###&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%'''(((((((((((())))))))))))(((((($$$%%%%%%&&&&&&%%%%%%$$$%%%%%%%%%%%%%%%&&&'''((($$$$$$%%%%%%&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''''''''((((((((((((((((((((((((%%%%%%&&&&&&''''''((((((''''''''''''''''''''''''(((((((((((()))))))))))))))***,,,---.........---))))))))))))))))))))))))))))))))))))((((((((((((((()))******++++++******+++++++++,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,+++...111222444;;;EEELLLUUU^^^fffhhhllluuu{{{|||xxxeee^^^RRRHHHAAA???AAACCCCCCLLLYYYfffooowww}}}zzztttkkkaaaXXXQQQMMMLLLFFFLLLQQQRRRQQQSSSYYY```hhhrrr{{{~~~~~~~~~|||yyy{{{|||nnneee^^^XXXVVVWWWXXX]]]eeekkkqqqyyy}}}ooo___SSSLLLDDDAAACCCJJJOOOVVVbbbnnnvvvqqqbbbXXXQQQNNNLLLNNNMMMMMMKKKIIIFFFDDDBBB===;;;777444111...------++++++++++++++++++++++++))))))))))))))))))))))))((((((''''''''''''((((((***(((&&&&&&'''((('''&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&''''''((($$$$$$$$$%%%%%%&&&&&&&&&'''&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%'''&&&&&&(((((('''$$$!!!&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%&&&'''((()))%%%%%%&&&&&&&&&&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%$$$&&&%%%%%%%%%&&&(((***+++)))'''$$$"""###%%%(((***''''''''''''''''''''''''((((((((((((((((((((((((''''''''''''''''''''''''%%%&&&&&&'''((()))******''''''''''''''''''''''''(((((((((((())))))))))))'''(((***,,,...000111222************************))))))))))))(((((((((((((((((()))***************+++++++++,,,,,,---------,,,,,,,,,,,,,,,,,,,,,,,,///222555777;;;DDDPPPZZZbbbjjjooonnnooowww|||}}}wwwhhh[[[TTTIII@@@;;;===BBBFFFRRR\\\kkkwwwnnniii```WWWPPPKKKJJJIIIDDDHHHOOOVVV[[[aaahhhmmmxxx~~~}}}~~~~~~|||zzz|||}}}yyy}}}zzznnnbbb\\\[[[TTTYYYaaafffjjjpppyyynnn]]]SSSFFFBBBBBBEEEFFFGGGOOOYYYbbbmmmxxxpppbbbXXXRRROOOMMMMMMMMMMMMKKKIIIFFFEEE???===:::555222///...---))))))))))))))))))))))))))))))))))))))))))))))))((((((''''''''''''((((((***((('''&&&(((((('''&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&'''''''''%%%%%%%%%&&&&&&'''''''''%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%&&&'''((((((%%%$$$$$$######$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''((())))))((('''&&&&&&&&&&&&&&&%%%$$$###"""%%%%%%%%%%%%%%%%%%%%%%%%###"""!!!"""$$$%%%%%%###&&&&&&&&&%%%%%%$$$$$$$$$###$$$%%%%%%&&&&&&%%%%%%'''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&''''''&&&%%%%%%$$$$$$$$$$$$&&&%%%%%%$$$#########$$$$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%%%%&&&&&&%%%$$$$$$'''&&&%%%%%%%%%%%%&&&''''''%%%######%%%'''((((((&&&%%%%%%%%%%%%&&&''''''%%%%%%%%%&&&&&&&&&''''''$$$%%%%%%&&&'''((())))))&&&&&&'''((())))))((((((***))))))((('''&&&&&&&&&((('''&&&'''''''''&&&%%%))))))((('''&&&&&&''')))'''''''''&&&&&&%%%%%%%%%((((((((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&+++++++++,,,,,,+++++++++)))))))))))))))******+++))))))))))))))))))))))))))))))))))))***************+++,,,...//////.........---,,,,,,---///222444666888<<>><<<999666333111///---------+++***))))))))))))))))))))))))'''''''''''''''''''''''''''''''''&&&&&&&&&&&&%%%(((((((((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''&&&&&&&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&&&&%%%%%%%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$&&&)))++++++)))&&&$$$$$$%%%&&&''''''(((((((((%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$%%%&&&'''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%&&&'''&&&&&&&&&%%%$$$$$$######$$$$$$%%%'''&&&&&&%%%%%%&&&&&&'''&&&%%%%%%$$$$$$%%%%%%%%%&&&%%%%%%$$$$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&***(((&&&%%%&&&'''&&&%%%%%%%%%&&&&&&&&&'''&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''''''''''''''''''''(((((())))))((('''&&&&&&(((((((((''''''&&&&&&&&&&&&'''((())))))***,,,---******)))******)))'''%%%%%%%%%&&&&&&''''''((((((''''''''''''(((((((((((((((((((((((((((((((((((((((((())))))))))))(((((()))))))))))))))******+++************************++++++,,,,,,,,,---------,,,,,,,,,---------,,,,,,---...000111333777???DDDRRR```rrryyyooofffaaaYYYSSSKKKEEECCCDDDEEEEEEMMMRRRZZZccckkkssszzz~~~xxxtttjjjhhhfffeeeeeeaaaXXXPPPLLLJJJKKKRRRXXX^^^hhhqqq~~~zzzzzz~~~~~~{{{yyywwwwwwzzz{{{|||{{{uuunnnfffaaa[[[ZZZZZZ[[[```iiittt|||{{{kkk```[[[XXXWWW___fffqqq|||~~~sssfff[[[QQQIIIFFFHHHJJJGGGHHHLLLRRR]]]nnn~~~|||qqqbbbWWWQQQNNNOOOPPPMMMJJJFFFCCCAAA>>>;;;999777444111///...---+++)))*********)))))))))))))))'''''''''''''''''''''''')))))))))(((((((((((((((((((((((('''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%###$$$%%%&&&%%%###%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&'''''''''&&&&&&%%%$$$$$$######$$$$$$%%%'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%$$$$$$%%%%%%&&&&&&%%%%%%$$$%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$###$$$&&&'''&&&&&&$$$%%%&&&'''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%%%%&&&&&&'''(((((()))(((((())))))((('''&&&&&&''''''''''''&&&&&&&&&&&&))))))(((&&&&&&(((...222222///***(((((((((((('''&&&&&&&&&''''''(((((((((&&&'''''''''(((((())))))))))))))))))))))))))))))((((((((())))))((((((((()))))))))))))))******+++************************+++++++++,,,,,,,,,,,,---------------------.........000222444888AAANNNWWWfffttt|||rrrggg\\\UUUMMMHHHBBB???AAAGGGMMMQQQ\\\bbbjjjqqqwww|||xxxnnnhhh\\\XXXTTTSSSRRROOOMMMKKKMMMNNNUUU___hhhqqq}}}{{{xxx{{{~~~}}}|||vvvtttrrrooonnnqqqqqqrrruuuyyy}}}~~~~~~}}}}}}{{{yyyvvvqqqjjjddd___WWWVVVVVVWWW\\\eeeooowww}}}tttggg^^^XXXYYY]]]eeeppp{{{wwwlll___SSSNNNOOOLLLIIIIIIKKKNNNSSS___jjjyyyiii]]]VVVRRRPPPNNNKKKGGGEEECCCAAA???===:::777444111000...+++)))+++*********)))))))))((((((((((((((((((((((((((())))))))))))))))))))))))((((((((((((((((((((((((''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$$$$$$$$$$%%%&&&%%%%%%%%%&&&%%%%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%$$$$$$%%%%%%$$$###$$$$$$%%%%%%%%%%%%&&&&&&%%%%%%&&&'''''''''''''''%%%%%%$$$$$$$$$$$$%%%%%%'''&&&&&&%%%%%%&&&&&&'''%%%%%%$$$$$$$$$%%%&&&&&&%%%%%%%%%%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%&&&''''''(((''''''%%%&&&&&&''''''&&&&&&%%%###""""""###&&&'''&&&%%%$$$%%%&&&'''''''''&&&%%%%%%%%%%%%&&&&&&&&&''''''$$$$$$%%%&&&'''((()))***(((((((((((((((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&))))))(((&&&$$$'''---333555000)))&&&''')))(((''''''''''''''''''(((((((((&&&&&&''''''((()))))))))))))))))))))))))))))))))(((((())))))))))))(((((()))))))))))))))******++++++++++++++++++++++++++++++++++++,,,,,,,,,------------------...///000111///333777;;;AAAMMM]]]iiixxxuuuiii\\\QQQJJJAAA???>>>???EEEOOOYYY___kkkrrryyy|||yyynnnbbbZZZQQQMMMIIIIIIIIIIIIMMMRRRVVVZZZcccpppyyy|||xxxvvvwwwxxx|||yyyxxxzzz~~~|||{{{wwwqqqllllllkkkiiihhhjjjkkkmmmpppsssuuuvvvvvvuuussstttuuuuuusssooollliii^^^^^^^^^___bbbhhhpppuuuwwwzzz}}}}}}ppphhh[[[[[[]]]dddppp}}}~~~ooo```XXXXXXRRRNNNLLLMMMLLLLLLQQQWWWlllwwwrrrggg\\\UUUSSSPPPLLLIIIGGGEEEBBB@@@===:::777444222000...,,,+++++++++******))))))(((((((((((((((((((((((((((&&&''''''''''''((((((((('''(((((((((((()))))))))''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&'''%%%&&&&&&''''''&&&&&&%%%&&&&&&%%%%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%###$$$%%%&&&''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%(((&&&%%%%%%&&&&&&%%%###$$$$$$$$$%%%%%%&&&&&&&&&%%%&&&&&&'''''''''''''''&&&&&&%%%%%%%%%%%%&&&&&&'''&&&&&&%%%%%%&&&&&&'''%%%$$$$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&'''((((((((((((%%%%%%&&&''''''&&&%%%%%%%%%$$$$$$%%%&&&'''%%%$$$###$$$&&&(((((('''&&&%%%%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&&&&''''''((((((&&&'''((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&(((***(((&&&&&&+++///000,,,'''&&&(((***(((&&&((((((((((((''''''''''''&&&&&&''''''((())))))***((((((((((((((((((((((((((())))))******))))))((()))))))))))))))******+++++++++++++++++++++++++++,,,------------.........---------...///111333444333:::BBBIIIPPP[[[kkkvvvwwwiii]]]RRRHHHBBB>>>???CCCIIIRRR]]]iiipppvvv~~~}}}uuummmcccXXXQQQLLLGGGEEEGGGIIILLLUUU___dddjjjuuu~~~yyytttqqqqqquuuyyy||||||}}}~~~||||||~~~wwwooolllgggdddfffgggeeeeeegggiiikkkooorrrssstttttttttqqqsssvvvwwwwwwvvvuuutttkkklllmmmmmmmmmooorrruuuuuuwwwzzz|||}}}~~~xxxsssrrrlllkkkjjjiiilllwwwqqqkkkdddccckkkwww}}}nnneeeeee___ZZZVVVTTTPPPLLLLLLPPPYYYbbbrrrqqqeee]]]YYYTTTPPPMMMJJJFFFCCCAAA>>>:::888666444111///,,,,,,+++******))))))(((((((((((((((((((((((((((&&&'''''''''(((((((((((('''((((((((())))))))))))''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%&&&&&&''''''&&&&&&%%%'''&&&&&&%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%###%%%'''(((((('''%%%###"""###%%%'''((()))******%%%%%%%%%%%%%%%%%%%%%%%%)))(((&&&&&&''''''&&&%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%&&&''''''(((((('''''''''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&'''$$$$$$$$$$$$%%%%%%&&&'''%%%%%%%%%%%%%%%&&&'''(((&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&'''((((((((((((%%%%%%&&&''''''&&&%%%%%%((('''&&&&&&''''''$$$######$$$&&&(((((('''&&&%%%%%%%%%%%%&&&&&&&&&''''''(((''''''''''''&&&&&&&&&&&&&&&'''((()))))))))(((&&&&&&&&&&&&&&&&&&&&&&&&###'''++++++(((&&&(((+++***'''$$$&&&)))+++(((%%%))))))((((((''''''&&&&&&&&&&&&&&&'''((())))))***(((((((((((((((((((((((())))))************)))))))))))))))))))))******+++++++++++++++++++++++++++............/////////000...------...000222555666888AAAMMMUUU\\\gggttt~~~|||mmm___TTTKKKDDD???AAAEEEKKKTTT___kkkvvv}}}{{{~~~tttjjjbbbZZZSSSMMMJJJFFFEEEIIILLLPPP\\\hhhqqqwww}}}xxxuuurrrpppooopppvvv~~~{{{{{{zzz|||}}}{{{uuummmgggbbb```ccceeeddddddfffiiilllpppsssttttttuuuvvvuuuwwwzzz{{{zzzyyyxxxxxxuuuvvvwwwvvvtttssssssttttttvvvxxxzzz{{{}}}}}}~~~{{{vvvooofff```^^^YYYYYYYYYYYY]]]jjj{{{qqqiiilllvvvyyyqqqpppmmmggg```\\\VVVPPPOOORRRNNNTTT___jjjttt~~~wwweeeaaa[[[VVVQQQMMMHHHEEECCC@@@===:::999777444222,,,,,,++++++***))))))((())))))))))))))))))))))))((()))))))))******++++++'''((((((((())))))******((((((((((((((((((((((((''''''''''''''''''''''''%%%%%%%%%&&&&&&'''''''''%%%&&&&&&''''''&&&&&&%%%&&&%%%%%%$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%###$$$%%%&&&''''''''''''&&&%%%%%%$$$%%%&&&((()))%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''((('''&&&%%%$$$%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''&&&((()))(((%%%$$$$$$$$$'''&&&%%%%%%$$$$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&'''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%'''''''''&&&&&&%%%%%%%%%$$$%%%&&&&&&&&&%%%$$$###))))))((('''&&&%%%%%%$$$''''''''''''''''''''''''''''''&&&&&&&&&%%%%%%%%%))))))))))))))))))))))))(((((('''''''''&&&&&&&&&((()))***)))'''&&&&&&''')))((('''&&&&&&'''((()))***+++,,,,,,***)))))))))))))))))))))))))))))))))******************************+++++++++,,,,,,,,,...//////...---...000222000000///...///222888<<>>DDDEEEPPPZZZbbbkkkwwwuuuggg^^^VVVNNNKKKKKKJJJKKKMMMPPPWWWbbbnnnuuuwwwrrrqqqrrrsssrrruuu|||zzz}}}yyyrrrttt{{{vvvlllmmmfffbbbbbbccccccfffjjjnnnrrrvvvyyyzzzzzz{{{{{{~~~}}}}}}}}}}}}}}}}}}~~~}}}{{{zzz{{{|||}}}~~~~~~xxxrrriii```YYYTTTPPPNNNKKKNNNRRRRRRTTT[[[iiittt{{{|||zzz|||uuunnnooorrrqqqjjjccc___YYYSSSPPPPPPSSSYYY___fffsss|||pppddd^^^WWWOOOMMMQQQGGGCCC???<<<;;;999444000333000---+++,,,---...---***++++++++++++******))))))((('''&&&&&&'''((()))((((((((((((''''''''''''))))))))))))))))))))))))))))))((((((''''''''''''%%%&&&'''(((((((((&&&&&&'''&&&%%%%%%%%%%%%&&&'''&&&&&&%%%%%%$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%###$$$%%%&&&''''''''''''&&&&&&%%%%%%%%%&&&'''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%&&&&&&&&&''''''((('''&&&%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&'''((((((%%%$$$$$$$$$'''&&&%%%%%%$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&'''(((((((((((('''%%%%%%%%%%%%&&&&&&&&&'''''''''&&&&&&&&&%%%%%%%%%$$$%%%&&&&&&&&&&&&%%%$$$((((((((('''&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&&&&%%%(((((((((((((((((((((((())))))((((((((('''''''''((()))***)))'''&&&'''((()))(((''''''''''''((()))***+++,,,,,,***))))))******************************************************++++++++++++,,,,,,,,,+++,,,------,,,---///111111222222333666;;;CCCHHHTTT]]]iiipppsssuuuxxx|||uuubbbQQQJJJFFF@@@BBBIIIRRR]]]hhhooowwwvvvjjj\\\TTTNNNIIIHHHJJJOOORRRYYY```iiittt{{{tttpppppprrrtttttt~~~{{{{{{~~~vvvtttvvv}}}yyytttmmmhhhhhhiiijjjmmmqqqtttwww|||wwwrrrkkkeee\\\TTTOOOKKKIIIGGGFFFJJJLLLMMMMMMTTT___iiiuuu~~~zzztttsssuuuwwwyyyyyyttttttrrrooopppnnneee[[[NNNKKKLLLOOOSSSYYYcccnnn}}}xxxlll```TTTNNNNNNHHHEEEAAA??????>>>;;;777444111...------...---,,,*********++++++******))))))(((''''''''''''((()))((((((((((((''''''''''''((((((((((((((((((((((((((((((((('''''''''&&&&&&%%%&&&'''(((((('''&&&&&&'''&&&%%%%%%%%%%%%&&&'''''''''&&&%%%$$$$$$%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&$$$$$$%%%&&&''''''''''''''''''&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''''''''&&&%%%%%%%%%&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&'''((((((&&&$$$$$$%%%&&&&&&%%%$$$$$$$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&''''''(((((((((((((((%%%&&&&&&&&&''''''(((((('''&&&&&&&&&&&&%%%%%%%%%$$$%%%&&&&&&&&&&&&%%%%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&((((((((('''''''''&&&&&&'''''''''''''''''''''''')))))))))))))))(((((((((((()))***)))'''&&&'''((()))((((((''''''(((((())))))+++,,,,,,***))))))***************************************************++++++++++++,,,,,,,,,,,,***,,,......---...///111...000333666===FFFPPPWWWeeellltttyyyzzzzzz{{{|||}}}tttbbbSSSHHHFFFGGGHHHMMMUUUbbblllwww}}}ggg]]]RRRMMMJJJJJJNNNSSS[[[aaakkkuuu~~~~~~zzzuuuqqqrrrtttwwwxxx|||zzzyyy}}}zzzuuuvvvyyyzzzsssrrrrrrsssvvv{{{}}}tttmmmbbb]]]TTTMMMIIIFFFDDDCCCDDDGGGJJJKKKKKKPPPYYYaaaiiirrrzzz||||||}}}yyyuuuqqqnnnlllkkkkkkppp}}}|||xxxssstttzzz|||qqqcccPPPKKKHHHGGGHHHKKKSSS\\\iiivvvppp___SSSNNNJJJFFFAAA?????????<<<999555333111000000///---+++)))*********************)))((((((''''''(((((()))(((((((((((('''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&''''''(((''''''&&&&&&'''&&&&&&%%%%%%&&&&&&'''((('''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&'''''''''$$$%%%&&&&&&'''''''''&&&(((''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$%%%%%%&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''%%%'''((('''&&&$$$$$$%%%&&&%%%%%%$$$$$$%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&'''(((((())))))((((((((((((((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((('''''''''''''''''''''''')))(((((((((((('''''''''''''''''''''''''''''''''((((((((((((((((((((((((((()))***)))((('''((())))))(((((((((((((((((())))))***,,,,,,***)))******************************************************+++++++++,,,,,,,,,---------...000000//////000111...222888???IIITTT```gggnnnsssyyy}}}~~~}}}{{{zzzyyyzzz{{{}}}}}}xxxnnneeeSSSJJJEEEHHHNNNTTT]]]eeennnvvv~~~}}}yyytttppp[[[TTTMMMMMMPPPUUU]]]fffooottt||||||}}}zzzwwwvvvxxxzzz|||zzzuuurrruuu{{{|||xxxooonnnnnnrrrxxx||||||{{{zzz}}}~~~}}}zzzkkkddd[[[SSSMMMJJJGGGFFFFFFJJJNNNPPPRRRVVV]]]cccgggnnnuuuxxxzzz{{{xxxrrrsssooojjjhhhfffiiiuuuyyywww{{{}}}tttgggYYYRRRKKKGGGEEEEEEJJJQQQZZZeeewwwqqq```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fffpppvvvtttvvv{{{}}}yyyvvvsssqqqpppmmmeee\\\VVVLLLIIIJJJPPPYYYaaakkkrrrwww|||~~~zzzuuuooojjjeee```]]]RRRNNNNNNSSSZZZbbbnnnyyy|||xxxssspppooorrrzzz{{{zzz{{{|||sssmmmhhhjjjoooqqqmmmhhh```aaadddkkkvvv~~~{{{tttiii___WWWSSSPPPNNNKKKOOOUUUZZZ^^^bbbgggkkkooouuuzzz|||~~~{{{uuuwwwqqqkkkgggeeefffoooyyy}}}zzzyyyuuunnncccZZZPPPJJJFFFCCCEEEJJJPPPXXXggg{{{ssseee]]]VVVNNNIIIGGGFFFCCC@@@;;;:::888777666444000...,,,,,,+++***)))******+++((())))))))))))))))))(((((((((((((((''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&'''&&&&&&%%%&&&&&&'''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%&&&&&&&&&''''''$$$%%%&&&'''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$&&&''''''&&&%%%%%%&&&%%%%%%$$$$$$$$$%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&'''''''''''''''******)))((('''&&&&&&%%%%%%%%%%%%&&&&&&&&&&&&'''&&&%%%%%%%%%&&&'''((()))&&&&&&&&&'''''''''((((((((((((((((((((((((((((((((((((((('''''''''&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&''''''''''''''')))******(((((()))+++((())))))******))))))((((((***++++++*********+++++++++++++++++++++++++++************************,,,,,,,,,,,,---------------...///......///222444===EEESSSaaallltttzzz~~~}}}}}}}}}wwwpppjjjddd```[[[RRRLLLKKKMMMOOOTTT\\\eeemmmtttxxx}}}yyyqqqllleee^^^ZZZWWWTTTSSSPPPPPPUUU___hhhrrr~~~~~~vvvooolllfffgggjjjrrr}}}}}}{{{{{{}}}kkkfffbbbbbbdddeeeaaa]]]ZZZ[[[___hhhuuuwwwlllddd```]]][[[VVV[[[cccjjjooossswwwyyy}}}vvvooojjjfffeeejjjrrr~~~~~~|||nnndddYYYQQQKKKEEECCCEEEIIIMMMYYYlllzzzggg___VVVOOOLLLJJJGGGEEE???===;;;999888777444222000...---+++*********+++((())))))******))))))(((((((((((((((''''''''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&''''''''')))((('''&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%&&&&&&%%%&&&&&&'''((()))''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&'''&&&&&&%%%%%%$$$%%%&&&'''''''''&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%$$$%%%%%%%%%&&&&&&&&&''''''$$$%%%&&&'''''''''&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$&&&''''''&&&%%%%%%&&&%%%$$$$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%$$$%%%%%%&&&&&&&&&&&&&&&''''''''''''''''''''''''%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%%%%&&&''')))***&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&%%%((((((((((((((((((((((((&&&'''''''''((((((((((((''')))******))))))***+++((()))************)))(((((()))++++++******+++,,,++++++++++++++++++++++++************************,,,,,,,,,------------.........//////111555:::>>>JJJUUUfffvvvxxxqqqeee]]]UUURRRNNNIIIHHHLLLVVV\\\ccckkkrrrxxx|||}}}~~~vvvmmmccc^^^VVVQQQPPPRRRTTTUUUZZZ]]]gggsss}}}yyysssnnnjjjhhhdddhhhppp{{{{{{{{{uuuiiifffdddbbbbbbaaa___]]]^^^]]]```hhhttt{{{uuurrrqqqpppkkkqqqyyyyyysssmmmiiikkkpppzzzuuuhhh___VVVMMMGGGFFFFFFEEELLL\\\nnn{{{rrreee[[[TTTOOOJJJGGGCCC@@@===;;;::::::888777333111///,,,************((()))************)))(((((((((((((((''''''''''''((((((((((((((((((((((((&&&&&&'''''''''(((((((((***)))'''&&&%%%%%%&&&&&&%%%%%%&&&''''''&&&%%%%%%%%%%%%%%%&&&'''((()))***(((((((((((((((((((((((('''''''''&&&&&&%%%%%%%%%&&&&&&&&&'''&&&&&&%%%%%%###$$$&&&'''((('''&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&%%%%%%$$$$$$$$$%%%%%%%%%&&&&&&&&&''''''###$$$&&&'''((('''&&&&&&%%%%%%%%%&&&&&&&&&''''''$$$&&&''''''&&&%%%&&&'''$$$$$$$$$$$$%%%%%%&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&''''''&&&&&&%%%###$$$%%%%%%&&&&&&%%%%%%$$$$$$%%%&&&'''((()))***%%%%%%%%%&&&&&&'''''''''&&&&&&%%%%%%&&&''')))***''''''''''''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%))))))))))))))))))))))))'''((((((((())))))******''')))******))))))***,,,((()))***++++++***)))(((''')))++++++******+++,,,++++++++++++++++++++++++************************,,,,,,,,,---------......///000111222555;;;CCCHHHZZZgggzzz~~~sssiii\\\SSSKKKJJJIIIHHHMMMTTT___gggpppvvv|||yyymmmbbbZZZTTTNNNKKKMMMSSSYYY\\\hhhmmmxxxxxxqqqkkkiiiiiiiiikkkqqq|||zzzyyypppkkklllkkkiiigggeeecccccccccfffcccccchhhttt}}}vvvoooooorrrwwwwwwmmmbbbVVVNNNKKKEEEAAADDDQQQ```pppzzzkkk```XXXPPPLLLEEEBBB>>><<<;;;<<<;;;:::555333000---+++*********((()))***++++++***)))((()))(((((((((''''''''''''))))))))))))))))))))))))'''''''''((((((((())))))***)))'''&&&%%%%%%&&&&&&%%%%%%&&&''''''&&&%%%%%%)))'''$$$###$$$(((,,,///))))))(((&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$%%%%%%############%%%%%%########################%%%&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&''''''''''''((('''&&&&&&&&&&&&'''(((((())))))((('''&&&%%%%%%$$$###$$$$$$%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%'''((((((&&&%%%###)))((('''&&&&&&&&&&&&&&&((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((((((((('''&&&%%%)))((('''&&&%%%&&&&&&'''((((((''''''''''''((((((''''''''''''''''''''''''(((((((((((((((((((((((())))))))))))((((((((((((''''''(((((())))))******))))))))))))************)))************+++++++++))))))))))))))))))))))))******+++++++++,,,,,,,,,000...,,,---///000///,,,444111111666:::???KKKYYYmmmxxx~~~qqqeee^^^OOOJJJGGGIIIJJJLLLUUU___pppsssxxx|||~~~}}}{{{{{{sssmmmcccYYYQQQNNNLLLKKKPPPYYYccciiiyyy{{{tttnnnlllkkkjjjlllpppwww~~~{{{zzzxxxsssnnnlllnnnpppppprrrsssqqqllliiihhhjjjeeehhhmmmttt{{{zzzxxxwwwyyy}}}rrrdddWWWOOOKKKFFFCCCGGGOOO\\\mmm{{{}}}pppfffXXXLLLJJJFFFAAA;;;999888999:::999777444111...---------+++*********))))))((((((((((((''''''&&&&&&&&&%%%&&&&&&''''''(((((())))))&&&))),,,***&&&%%%)))---,,,)))&&&%%%'''((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&(((&&&%%%$$$%%%(((+++---******(((''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$$$$$$$$$$$$$$$$$$$''''''&&&%%%%%%&&&''''''%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&%%%%%%&&&''''''&&&&&&&&&''''''''''''((('''&&&&&&&&&&&&'''((((((((((((((('''&&&&&&%%%%%%&&&&&&&&&&&&%%%%%%%%%%%%''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&((())))))((('''&&&(((((('''&&&&&&&&&&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''&&&)))((('''&&&&&&&&&'''(((((((((''''''''''''((((((''''''''''''''''''''''''(((((((((((((((((((((((())))))))))))(((((((((((('''((((((((()))))))))***))))))))))))************)))************+++++++++***************************++++++++++++,,,,,,,,,...---,,,---000111000...333111333:::AAAIIIXXXfffuuu~~~uuufffXXXQQQGGGCCCDDDJJJPPPXXXdddpppzzz{{{~~~{{{oooggg```WWWNNNLLLLLLNNNSSSZZZeeeooovvvuuuooojjjjjjkkkmmmqqqwww~~~yyytttooohhhjjjjjjgggdddeeejjjpppxxxzzzyyyuuuoooiiihhhiiikkknnnsssyyy~~~{{{zzz}}}|||mmmccc^^^OOOHHHCCCDDDHHHQQQ^^^jjjrrr~~~qqq```RRRRRRNNNGGGBBB>>>======<<<;;;:::888555222000...,,,,,,+++++++++************((((((((((((''''''&&&&&&'''''''''((((((((((((((($$$&&&(((&&&###"""$$$&&&+++(((&&&&&&(((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&(((***+++******)))(((''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''((('''&&&%%%%%%&&&'''(((&&&&&&&&&''''''''''''((('''&&&&&&&&&&&&'''((((((''''''''''''''''''''''''((((((''''''&&&%%%%%%$$$'''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&((((((((('''&&&(((((('''&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((()))***)))((('''''''''((((((((((((''''''''''''(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))(((((((((((())))))))))))))))))))))))************)))************+++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,...111222111///444555;;;CCCLLLVVVeeerrr|||vvviiiYYYLLLFFFBBBBBBGGGPPPZZZfffuuuyyymmm```XXXTTTNNNGGGGGGMMMVVV```kkkwww~~~uuuoookkklllmmmooouuu|||}}}uuuoooiiiccc___\\\___bbb```]]]```iiiqqq|||~~~}}}yyysssnnnmmmmmmsssvvv||||||~~~{{{rrrnnn[[[RRRJJJFFFEEEGGGOOOWWWYYYbbbmmmvvvnnn^^^UUUPPPIIICCC???===:::999;;;<<<<<<;;;888444///---------,,,+++++++++++++++))))))))))))((((((((((((((((((((((((((('''''''''(((((((((((('''&&&%%%%%%((('''''''''(((((('''%%%''''''''''''''''''''''''%%%%%%&&&&&&'''((())))))))))))((('''''''''''''''%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%$$$$$$%%%%%%%%%''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&&&&''''''''''''((('''&&&&&&&&&&&&'''((((((&&&&&&&&&'''''''''(((((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&!!!"""###$$$%%%&&&%%%%%%(((''''''&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&''')))***+++***)))''''''(((((()))((((((''''''''''''(((((())))))))))))))))))))))))(((((((((((((((((((((((((((((((((((())))))))))))(((((((((((())))))))))))((()))))))))************))))))*********+++++++++,,,,,,,,,,,,,,,,,,,,,,,,+++++++++,,,,,,,,,------+++,,,---...000111111000888===GGGQQQZZZcccnnnvvv~~~yyyjjj\\\OOOGGGFFFHHHKKKSSS]]]hhhrrr}}}{{{ppp```SSSNNNMMMLLLJJJLLLUUUcccqqq~~~|||}}}xxxsssrrrqqqqqqvvv}}}wwwlllccc]]]XXXVVV]]]aaaccc```]]]___iiirrrwwwyyy{{{zzzvvvtttuuuwww{{{~~~}}}uuukkk```UUUNNNIIIFFFGGGLLLMMMRRRYYY```jjjyyy~~~nnnYYYSSSJJJDDD@@@===999777999;;;===>>><<<888333000...---,,,+++***+++++++++******))))))))))))))))))))))))((((((''''''&&&&&&))))))((()))+++***(((&&&&&&&&&'''((()))(((&&&%%%((((((((((((((((((((((((%%%%%%&&&''''''(((((((((''''''&&&%%%%%%%%%&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$&&&((())))))(((&&&$$$&&&&&&&&&''''''''''''((('''&&&&&&&&&&&&'''((((((%%%%%%&&&&&&'''(((((((((&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&!!!"""###$$$%%%%%%&&&&&&''''''&&&&&&&&&''''''(((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&%%%%%%%%%&&&''')))***+++***)))''''''(((((()))((((((''''''''''''(((((())))))))))))))))))))))))(((((((((((((((((((((((('''((((((((()))))))))***))))))))))))((((((((((((((()))))))))************))))))*********+++++++++,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,---------,,,---...///000111333444;;;EEETTT```iiiqqqxxx{{{mmm\\\OOOGGGFFFIIIQQQYYYdddnnnvvv}}}ttthhhXXXNNNJJJKKKOOORRR[[[fffvvv{{{wwwtttuuuyyy~~~}}}zzzuuurrruuu|||{{{oooddd\\\XXXUUUTTT[[[^^^```^^^\\\^^^gggoooqqquuuyyyzzzyyyyyy||||||wwwlll```XXXQQQJJJGGGGGGIIIJJJMMMQQQXXXcccrrr}}}}}}eee]]]RRRJJJEEEBBB>>>;;;777:::===??????<<<999666000///---+++*********+++))))))******************))))))((((((''''''&&&&&&&&&%%%%%%&&&((()))(((&&&$$$&&&'''(((((('''&&&&&&((((((((((((((((((((((((%%%%%%&&&&&&''''''''''''&&&&&&%%%%%%%%%%%%%%%&&&%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%''''''((((((((((((''''''&&&&&&&&&&&&&&&&&&&&&&&&###%%%'''))))))'''%%%###&&&&&&&&&''''''''''''((('''&&&&&&&&&&&&'''((((((&&&&&&&&&'''''''''(((((($$$%%%%%%&&&''''''((((((%%%%%%%%%&&&&&&&&&&&&'''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%&&&&&&''''''(((((('''&&&&&&&&&&&&'''((((((&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&'''((()))***)))((('''''''''((((((((((((''''''''''''((((((((((((((((((((((((((((((((((((((((((((((((((((((''''''(((((())))))******))))))))))))(((((((((((())))))))))))************)))************+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------------...000000222555:::>>>BBBPPPbbbnnnxxxrrr```QQQGGGDDDHHHPPP]]]gggrrrzzz|||wwwuuujjj```UUUOOOLLLOOOWWW___pppzzzzzzuuuqqqkkkjjjjjjlllqqq{{{}}}vvvvvv{{{||||||tttjjjaaa[[[XXXWWWVVVTTTVVVXXXYYY[[[___eeejjjrrrvvvzzz||||||}}}~~~uuuiiibbbZZZQQQKKKJJJGGGEEEEEEHHHKKKRRR^^^jjj{{{uuujjj[[[PPPJJJGGGBBB>>>999;;;===@@@@@@@@@>>>===444222///,,,*********+++))))))))))))************(((((((((((((((''''''''''''''''''&&&''''''((()))$$$&&&''''''&&&&&&&&&'''''''''''''''''''''''''''&&&&&&%%%%%%%%%&&&''''''&&&&&&%%%%%%%%%&&&&&&'''%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((())))))((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''((('''&&&&&&&&&&&&'''((((((&&&&&&&&&'''''''''''''''%%%%%%%%%%%%&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''((((((&&&&&&&&&&&&&&&'''((((((''''''''''''''''''''''''$$$$$$%%%%%%&&&''''''(((&&&&&&'''''''''''''''&&&)))((('''&&&&&&&&&'''(((((((((''''''''''''((((((''''''''''''''''''''''''(((((((((((((((((((((((('''''''''((()))************)))))))))((((((((('''))))))))))))************)))************+++++++++++++++++++++++++++++++++,,,,,,,,,------------......///111333666<<>>??????@@@AAAAAABBBBBB:::777333///,,,+++++++++((((((((()))))))))******'''''''''(((((((((((((((***+++***'''$$$###'''***$$$&&&'''&&&%%%%%%''')))&&&&&&&&&&&&&&&&&&&&&&&&'''&&&%%%$$$%%%&&&'''(((''''''&&&&&&&&&''''''(((%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%&&&''''''&&&%%%$$$'''''''''''''''''''''''''''%%%###!!!!!!###%%%'''&&&&&&&&&'''''''''(((((('''&&&&&&&&&&&&'''(((((('''''''''''''''''''''''''''&&&&&&%%%%%%$$$$$$###%%%%%%%%%&&&&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&'''((()))(((((((((((((((((((((((($$$$$$%%%%%%&&&'''((((((&&&'''((((((((('''&&&%%%)))((('''&&&%%%&&&&&&'''((((((''''''''''''((((((''''''''''''''''''''''''((((((((((((((((((((((((&&&''''''((()))******+++******))))))((((((((('''))))))))))))************)))************+++++++++++++++++++++++++++++++++,,,,,,,,,---------.........000222444999BBBMMMUUUbbbooo||||||xxxrrriiibbbUUUPPPLLLMMMQQQWWWbbbmmmvvv~~~xxxnnnddd]]]XXXVVVPPPPPPUUU\\\aaaiii{{{uuulllfffdddcccdddiiipppxxxyyyyyyyyy{{{ssslllhhhdddaaa___bbbaaabbbffflllppppppooosssxxx~~~}}}|||{{{zzz{{{~~~yyynnnddd```RRRMMMJJJIIIFFFDDDJJJTTTTTTfff}}}wwweee\\\UUUOOOJJJDDDCCCBBBAAAAAABBBDDDEEE===:::666111...,,,,,,,,,''''''(((((()))))))))***&&&'''''''''(((((())))))((()))(((###%%%$$$&&&'''%%%###$$$'''***&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%$$$%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&&&&&&&&&&%%%%%%''''''''''''(((((((((((('''''''''&&&&&&%%%%%%%%%'''((()))***)))(((&&&$$$((((((((('''&&&&&&%%%%%%%%%%%%&&&&&&'''&&&&&&%%%&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%'''(((((('''%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((('''&&&%%%$$$###""""""''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''((()))((((((''''''''''''(((((())))))))))))))))))))))))(((((((((((((((((((((((((((''''''&&&&&&((()))***))))))))))))************))))))*********))))))(((++++++******************++++++++++++++++++++++++------------------------111///...---...000000///---333:::>>>GGGUUU```eeerrrvvv~~~tttjjj```XXXSSSMMMNNNPPPSSSZZZdddpppxxx}}}~~~yyymmmdddZZZPPPKKKKKKOOOTTT\\\fffqqq~~~tttmmmhhhddddddffffffkkkvvv}}}{{{~~~vvvqqqooonnnnnnnnnnnnoooppprrrtttwwwxxx{{{~~~zzzyyywwwwwwyyy|||zzzpppjjj___YYYPPPGGGCCCBBBEEEHHHPPPWWWjjjvvvhhh```WWWOOOLLLHHHCCCAAACCCGGGJJJLLLDDDAAA<<<777222///------+++++++++++++++*********++++++***)))))))))))))))))))))))))))))))))))))))'''((((((((('''&&&%%%%%%''''''''''''''''''''''''((('''&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&''''''''''''((((((((((((&&&&&&&&&&&&&&&&&&%%%%%%'''((()))))))))(((&&&%%%%%%%%%&&&&&&'''(((((((((&&&&&&'''''''''&&&%%%%%%&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&$$$$$$$$$%%%%%%$$$$$$$$$&&&&&&&&&&&&&&&&&&&&&&&&((((((((('''''''''''''''''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''&&&&&&&&&&&&&&&'''((((((((((((''''''''''''(((((())))))))))))))))))))))))))))))))))))))))))))))))(((((('''&&&'''((()))***))))))))))))************(((((())))))***)))))))))************************++++++++++++++++++++++++------------------------111000......///111222333000888BBBMMM[[[kkkvvvzzzvvviii___WWWRRROOOQQQTTTYYY___eeennnwww}}}sssjjj___YYYSSSNNNNNNQQQ[[[aaalllwwwyyyoookkkiiigggiiilllrrrvvvzzzwwwyyy}}}}}}|||{{{zzzzzzzzz{{{|||}}}zzzyyywwwvvvxxxzzz~~~{{{kkkdddYYYNNNGGGEEEFFFGGGKKKPPP```wwwzzzooodddZZZPPPLLLGGGDDDEEEGGGIIIIIIGGGEEE@@@;;;777333000///************)))))))))))),,,+++******))))))******))))))))))))))))))))))))''''''((((((''''''&&&%%%''''''''''''''''''''''''''''''&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&'''''''''''''''''''''''''''&&&''''''''''''(((((((((%%%%%%&&&&&&&&&&&&&&&&&&''''''((())))))'''&&&%%%%%%%%%&&&&&&'''((((((((('''''''''''''''&&&%%%$$$&&&&&&&&&'''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&((((((''''''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((()))))))))''''''&&&&&&&&&&&&''''''(((((((((((((((((((((((('''&&&&&&&&&&&&'''((((((((((((''''''''''''((((((((((((((((((((((((((((((************************(((((('''''''''((()))***))))))))))))************''''''((()))*********)))************************,,,,,,,,,,,,,,,,,,,,,,,,------------------------111000//////000222555777888BBBPPP```sss{{{kkk\\\SSSPPPOOOPPPXXX]]]dddkkkrrrxxx}}}zzzwwweee\\\SSSOOOMMMNNNTTT[[[hhhooo{{{xxxpppjjjiiiiiiiiilllpppxxxqqqmmmooouuu~~~}}}}}}{{{yyyxxxxxxzzz|||~~~~~~~~~{{{{{{~~~}}}uuugggYYYNNNHHHFFFFFFIIIKKKUUUfffwwwuuuiii\\\WWWOOOJJJHHHHHHIIIIIIKKKIIIFFFBBB===888555222,,,,,,+++***************,,,++++++***************))))))))))))))))))))))))''''''((((((((('''&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&''''''''''''(((((((((((((((&&&&&&&&&'''''''''((((((%%%%%%%%%&&&&&&'''''''''&&&''''''(((((('''&&&&&&((((((((('''&&&&&&%%%%%%(((((((((((('''&&&%%%$$$''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&***)))'''''''''''')))***''''''''''''''''''''''''&&&&&&&&&''''''''''''(((''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''&&&&&&&&&''''''(((((((((''''''''''''(((((((((((((((((((((((((((((())))))))))))))))))))))))((((((((((((((()))))))))((()))))))))************(((((()))***++++++++++++***************+++++++++,,,,,,,,,,,,,,,,,,,,,,,,------------............000000///...///222777:::EEEPPP___ppp{{{ppp```SSSNNNQQQWWW[[[aaafffmmmsssxxx{{{~~~}}}wwwpppjjj^^^VVVOOOMMMNNNSSS^^^iiiwwwvvvpppmmmnnnnnnnnnqqqvvv}}}vvvqqqqqquuu|||~~~|||{{{{{{||||||~~~~~~~~~}}}|||{{{yyyxxxvvvzzz~~~wwwttttttwwwwwwfffXXXNNNIIIGGGKKKKKKPPPYYYdddrrryyynnnfffZZZPPPKKKKKKKKKLLLMMMMMMKKKHHHCCC>>>999666000///...,,,,,,+++,,,,,,+++******)))))))))******((((((((((((((((((((((((''''''((((((((((((''''''''''''''''''''''''''''''%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&'''''''''''''''(((((())))))&&&&&&&&&&&&''''''''''''%%%%%%%%%&&&&&&'''''''''&&&&&&'''''''''''''''&&&((((((((('''&&&&&&%%%%%%'''(((((((((''''''&&&%%%'''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%$$$###""""""###$$$%%%''''''''''''''''''''''''(((''''''''''''&&&&&&&&&''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&(((''''''&&&&&&&&&''''''((((((''''''''''''((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((()))))))))))))))((()))))))))************)))***++++++,,,,,,,,,+++))))))*********+++++++++,,,,,,,,,,,,,,,,,,,,,,,,---------....../////////000000///...///444;;;@@@QQQ\\\kkk{{{}}}zzzkkkbbbVVVOOOPPPYYYccciiiooorrruuuxxxzzz||||||vvvlllbbbZZZSSSOOOMMMOOOTTT]]]kkkxxxzzzwwwvvvxxxxxxwwwzzz|||{{{|||~~~~~~}}}}}}|||||||||{{{zzzxxxwwwvvvtttvvvyyy}}}~~~xxxtttpppooouuu~~~uuueeeXXXPPPMMMLLLJJJJJJOOOUUU___ooo}}}ttteeeWWWOOOMMMNNNOOOOOOOOONNNLLLHHHCCC>>>;;;444222000---,,,+++,,,,,,))))))((((((((())))))***((((((((((((((((((((((((''''''((((((((((((((('''''''''''''''''''''''''''$$$%%%&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&''''''(((((()))%%%&&&&&&&&&&&&'''''''''%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''%%%%%%&&&&&&'''(((((((((&&&''''''((((((((('''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%$$$$$$$$$$$$%%%%%%'''''''''''''''''''''''')))))))))(((((('''''''''''''''&&&&&&&&&&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&(((((('''&&&&&&&&&&&&'''((((((''''''''''''(((((((((((((((((((((((((((((('''''''''''''''''''''''''''((()))*********))))))))))))))))))***************+++++++++++++++******)))))))))***++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------...//////000000///000111222444;;;EEELLL[[[ggguuuzzzpppkkkZZZUUUPPPPPPVVVaaalllrrrzzz{{{}}}~~~~~~~~~{{{sssjjj___TTTMMMIIIIIINNNWWW```jjjzzz{{{{{{}}}~~~|||~~~~~~}}}{{{zzzyyyxxxxxxwwwwwwzzz|||xxxqqqlllnnntttvvvhhh^^^XXXNNNIIIGGGHHHLLLQQQ\\\fffwwwpppaaaWWWRRRQQQQQQQQQQQQPPPNNNKKKGGGCCCAAA888666222...,,,+++++++++))))))))))))))))))***+++))))))))))))))))))))))))''''''((()))))))))((((((''''''''''''''''''''''''$$$%%%&&&'''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&''''''&&&&&&%%%%%%&&&&&&'''$$$%%%%%%&&&''''''((((((%%%%%%&&&&&&&&&'''''''''&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&'''(((%%%%%%&&&&&&'''(((((((((%%%&&&'''(((((())))))((((((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((((((((('''''''''''''''''''''''''''''''''''''''''''''(((((((((''''''&&&&&&&&&&&&''''''''''''''''''''''''''''''(((((('''&&&&&&&&&&&&&&&((((((''''''''''''(((((())))))))))))))))))))))))(((((((((((((((((((((((('''((()))***+++***))))))))))))))))))***************************)))((('''((())))))***++++++,,,,,,---------------------------------...///000000000...111444777<<>>GGGPPP]]]nnn{{{}}}zzzyyy{{{xxxeeeXXXVVVXXX```dddkkksssxxx{{{||||||}}}xxxoooiii\\\YYYSSSNNNMMMQQQXXX^^^lllvvvuuuiiiccccccmmmjjjmmmyyy}}}{{{zzzyyyuuurrrmmmjjjiiihhhfffeee```______^^^]]]]]]]]]^^^^^^^^^^^^^^^___```aaabbbbbbaaabbbcccdddgggiiikkkllljjjgggfffhhhmmmrrrvvvxxxjjjfffaaa[[[XXXXXX[[[^^^ddddddhhhmmmqqqzzzrrrcccYYYRRRJJJFFFGGGHHHHHHMMMUUU^^^iiiwwwqqqdddZZZRRRSSSUUUSSSOOONNNKKKJJJGGGCCC???:::777555...---+++++++++,,,+++***)))************)))((((((((((((((((((((((((''''''(((((('''''''''&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''&&&$$$%%%&&&(((((('''''''''&&&&&&&&&&&&''''''((('''&&&&&&%%%&&&&&&&&&'''''''''''''''&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''''''''&&&&&&&&&&&&''''''&&&'''(((*********))))))&&&&&&&&&''''''''''''(((&&&&&&&&&&&&&&&''''''''''''((((((((('''&&&%%%%%%'''((()))(((&&&%%%&&&'''(((((('''&&&&&&&&&&&&'''&&&&&&&&&&&&''''''''''''&&&''''''((((((((((((((('''''''''''''''&&&&&&&&&''''''((((((((()))))))))***))))))))))))((((((((((((((())))))***)))))))))************))))))))))))))))))(((((((((((()))))))))))))))*********++++++---,,,,,,,,,,,,------...........................000...///111222111444999;;;FFFSSS^^^kkkyyy{{{wwwuuuwww{{{~~~}}}sssggg\\\WWWYYY\\\jjjnnntttzzz~~~{{{uuulllbbb[[[QQQPPPOOOOOOSSS[[[eeelll{{{xxxlllcccaaaccceeehhhqqq~~~{{{xxxuuurrrqqqpppmmmiiieeecccaaa```___]]]YYYXXXWWWVVVUUUTTTTTTTTTTTTTTTTTTTTTTTTUUUVVVWWWYYYYYYYYYZZZ[[[^^^```aaaeeebbb___]]]^^^aaaeeehhhpppssswww|||vvvpppfff\\\TTTQQQPPPQQQVVVVVVXXX[[[___fffuuussshhh^^^TTTLLLJJJEEEEEEHHHLLLOOOVVVcccpppmmm```TTTRRRUUUTTTPPPOOOOOONNNKKKHHHEEEAAA>>><<<444111...,,,,,,---,,,+++*********))))))(((((('''******)))(((((('''&&&&&&(((((((((''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''''''''&&&%%%%%%'''(((((('''''''''&&&&&&&&&&&&''''''''''''&&&&&&&&&&&&''''''((((((''''''&&&&&&&&&&&&%%%%%%%%%&&&&&&&&&''''''((('''%%%%%%%%%%%%'''(((&&&'''((())))))))))))(((&&&&&&&&&''''''''''''(((%%%%%%&&&&&&''''''(((((((((((((((((('''&&&%%%$$$&&&'''((((((&&&&&&&&&'''''''''''''''&&&&&&''''''&&&&&&'''''''''(((((((((&&&''''''(((((((((((((((((((((((('''&&&&&&&&&%%%(((((((((((())))))))))))))))))))))))))))))))))))'''((()))******+++***************)))))))))))))))++++++************++++++))))))*********+++++++++---,,,,,,,,,,,,,,,---------------...............111000111333333444999@@@GGGSSSaaalllvvv}}}wwwsssqqqppppppooojjjbbb[[[XXX\\\bbbgggqqquuu{{{~~~zzzuuulllbbbXXXRRRNNNPPPSSSXXX^^^hhhrrryyytttkkkeeefffkkklllrrr~~~~~~}}}}}}}}}zzzxxxuuuqqqnnnkkkiiihhheeeccc___]]]\\\ZZZXXXWWWVVVVVVTTTSSSQQQQQQPPPPPPPPPOOOOOOOOOOOOPPPPPPQQQSSSSSSSSSSSSUUUWWWYYYZZZ^^^\\\ZZZXXXXXXZZZ]]]______ccchhhnnnrrrttttttttt{{{|||qqqfff\\\UUUPPPMMMPPPNNNNNNQQQUUU[[[iiivvvyyymmmaaaVVVPPPLLLKKKJJJJJJIIIKKKVVVcccyyyzzzhhhVVVPPPRRRRRRPPPPPPQQQPPPNNNLLLIIIFFFDDDBBB<<<999444111///...,,,+++***)))))))))((()))))))))))))))))))))((((((''''''((((((((('''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''(((&&&%%%%%%'''(((((('''(((''''''&&&&&&''''''(((''''''&&&&&&&&&''''''((()))((('''&&&&&&&&&&&&'''%%%%%%%%%&&&&&&&&&'''''''''&&&%%%$$$$$$%%%&&&'''&&&''''''(((((((((((((((&&&&&&&&&''''''''''''(((&&&&&&&&&''''''(((((((((''''''(((((('''&&&&&&%%%###%%%'''(((''''''((()))&&&&&&''''''''''''''''''''''''((((((((()))))))))&&&''''''(((((((((((((((((((((((('''&&&&&&&&&%%%(((((((((((())))))))))))))))))))))))************'''((()))******+++******))))))))))))))))))******++++++************++++++************++++++++++++,,,,,,++++++++++++,,,,,,---------.........//////000///000333555888AAAKKKZZZeeerrr{{{yyyrrrlllhhheee___\\\YYYXXX]]]dddmmmrrryyy|||}}}wwwnnncccXXXQQQMMMOOOTTT[[[dddmmmwww|||tttnnnkkknnntttwww~~~}}}{{{yyyxxxwwwuuusssppplllhhheeecccbbb```^^^[[[YYYXXXWWWTTTRRRTTTSSSRRRPPPOOONNNNNNNNNMMMMMMLLLLLLKKKLLLLLLLLLJJJIIIIIIJJJKKKMMMOOOPPPRRRQQQPPPOOOPPPRRRTTTVVVSSSVVV[[[aaafffiiikkkkkkjjjnnntttyyy}}}xxxooofff]]]SSSMMMLLLIIIHHHKKKNNNTTT```kkk~~~rrreee[[[QQQNNNKKKIIIFFFGGGQQQ\\\nnn}}}ttt^^^SSSPPPPPPPPPQQQPPPPPPOOONNNLLLIIIGGGFFFEEEAAA<<<888444111...,,,))))))(((((()))***+++,,,(((((((((((())))))******((((((((((((((((((((((((&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''((('''%%%&&&''')))((((((((((((''''''''''''(((((('''''''''&&&''''''((())))))((('''&&&%%%&&&''''''%%%%%%%%%&&&&&&&&&''''''&&&&&&%%%%%%%%%%%%&&&&&&''''''&&&&&&''''''''''''&&&&&&&&&''''''''''''((('''''''''''''''(((((((((&&&&&&'''''''''''''''&&&"""$$$'''(((((((((((()))%%%&&&''''''((('''''''''(((((((((((()))))))))***&&&''''''((((((((((((((('''''''''''''''&&&&&&&&&''''''((((((((())))))))))))))))))************+++(((((())))))***)))))))))))))))))))))************))))))(((((((((((())))))*********++++++++++++,,,---,,,,,,+++++++++++++++,,,,,,------.../////////------000555999AAAQQQ___mmmvvvxxxppphhhbbb^^^WWWYYY\\\aaahhhpppvvv{{{{{{qqqdddXXXPPPMMMMMMRRRZZZeeeqqq|||yyyuuurrrpppsssxxx}}}}}}{{{wwwuuurrrqqqooommmjjjgggccc```^^^]]][[[YYYWWWUUUUUUSSSQQQNNNNNNNNNMMMKKKJJJJJJJJJJJJIIIIIIHHHGGGGGGFFFGGGGGGDDDDDDDDDDDDEEEGGGIIIJJJJJJJJJJJJJJJKKKMMMOOOPPPLLLNNNRRRWWW[[[___aaabbb___ccchhhmmmqqquuuyyy|||~~~{{{vvvqqqhhh]]]UUUKKKFFFCCCEEEGGGLLLVVV```wwwwwwkkkVVVOOOIIIFFFEEEFFFMMMUUU```pppmmm^^^VVVQQQPPPRRROOOOOONNNNNNMMMKKKJJJIIIKKKHHHDDD@@@<<<888333000++++++***)))***+++,,,---''''''((())))))***++++++'''(((((((((((()))))))))''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''((('''&&&&&&((())))))(((((((((''''''''''''(((((('''''''''''''''((()))))))))((('''%%%%%%&&&'''(((%%%%%%%%%&&&&&&&&&''''''%%%%%%%%%&&&&&&%%%%%%%%%'''&&&&&&&&&&&&&&&&&&'''&&&&&&&&&''''''''''''(((((((((((((((''''''''''''%%%%%%&&&'''((((((((((((###%%%((()))((('''''''''%%%%%%'''((((((((('''''''''''''''((((((((())))))&&&''''''(((((((((((((((&&&&&&&&&'''''''''''''''&&&&&&'''''''''((((((((())))))*********+++++++++(((((()))))))))(((''''''((()))))))))************))))))(((((((((((())))))*********+++++++++,,,,,,......---,,,,,,,,,,,,,,,,,,,,,------...//////000///000444;;;DDDRRRhhh{{{tttjjjbbb\\\ZZZZZZaaakkktttyyy}}}xxxrrrfffZZZPPPNNNQQQUUU^^^ggguuu|||xxxxxxvvvsssuuuxxx~~~}}}{{{xxxtttpppmmmkkkhhhfffddd```]]]ZZZXXXXXXVVVTTTRRRQQQPPPOOOLLLJJJHHHHHHGGGFFFFFFEEEFFFFFFFFFEEEDDDCCCBBBBBBBBBBBBBBBBBBAAAAAABBBDDDFFFGGGGGGGGGGGGGGGHHHIIIIIIJJJIIIJJJLLLNNNQQQSSSVVVWWWWWWYYY]]]```cccggglllooorrruuuzzz{{{xxxuuuooofff___PPPJJJDDDDDDDDDGGGOOOXXXnnn{{{eeeZZZOOOIIIGGGFFFHHHLLLQQQ```tttpppbbbWWWRRRSSSMMMNNNNNNNNNNNNMMMLLLLLLMMMKKKHHHFFFCCC???:::666000///---+++******+++,,,))))))))))))))))))******'''((((((((())))))))))))''''''''''''''''''''''''''''''''''''''''''''''''((((((((((((((((((((((((((('''&&&&&&((())))))(((((((((''''''''''''(((((('''''''''''''''((())))))***(((&&&%%%%%%%%%'''(((%%%%%%%%%&&&&&&&&&''''''$$$$$$&&&''''''&&&$$$$$$'''&&&&&&%%%%%%%%%&&&&&&&&&&&&&&&'''''''''(((((())))))((((((''''''&&&&&&$$$$$$&&&'''((()))))))))%%%''')))***(((&&&%%%%%%$$$%%%'''(((((((((''''''&&&&&&&&&'''''''''((((((&&&''''''(((((((((((((((%%%&&&&&&''''''(((((((((&&&&&&&&&&&&'''''''''((())))))******++++++++++++(((((()))(((((('''&&&&&&(((((())))))*********+++++++++************++++++******+++++++++,,,,,,,,,000///...---------------,,,,,,------...///000000222444:::CCCOOObbb{{{~~~pppddd]]]YYYWWWaaalllyyy}}}zzzmmmggg]]]RRRLLLOOOXXX```llluuu|||yyy{{{}}}~~~{{{zzz{{{zzzvvvuuuxxx}}}|||}}}|||zzzvvvrrrmmmiiigggcccaaa___\\\XXXVVVTTTTTTRRRPPPOOONNNMMMKKKIIIFFFEEEEEEDDDDDDCCCDDDDDDDDDEEEDDDCCCBBBAAA@@@@@@@@@>>>>>>======>>>@@@AAABBBBBBBBBCCCCCCCCCBBBBBBBBBIIIIIIHHHHHHJJJLLLNNNOOONNNPPPRRRTTTVVVYYY^^^aaahhhkkkppptttyyy~~~|||vvvtttrrrooohhhbbbWWWPPPIIIGGGFFFHHHNNNUUUhhh}}}xxxiiiYYYPPPKKKGGGEEEFFFIIISSSaaaooommm\\\TTTSSSMMMNNNNNNNNNNNNNNNMMMMMMLLLKKKKKKJJJHHHEEE???;;;444222///,,,***)))******++++++******)))((((((((('''((((((((())))))******$$$%%%&&&((()))(((((('''((((((((((((((((((((((((%%%&&&&&&'''((()))******''''''((()))))))))))))))(((''''''(((******)))((())))))))))))))))))))))))'''&&&&&&%%%%%%&&&&&&''''''&&&%%%$$$$$$$$$$$$$$$%%%%%%&&&&&&'''(((((()))((('''&&&%%%%%%&&&'''((((((&&&%%%'''***,,,+++)))''''''((((((((((((''''''&&&''''''(((((((((((((((''''''''''''((((((((((((''''''((()))******))))))(((((((((((((((((((((((((((((())))))))))))((((((''''''''''''''''''''''''(((((((((((()))))))))))))))***+++++++++)))((('''))))))))))))))))))))))))************************(((***++++++******+++,,,,,,,,,,,,---------........................------,,,...000000000111222444444999BBBNNN___vvvwwwiii\\\VVV[[[cccuuuuuuhhh```WWWQQQSSSVVVZZZbbbkkkzzzxxx}}}uuuooopppssssssuuuxxx}}}}}}|||zzzwwwyyy}}}{{{vvvsssoookkkiiigggdddbbb^^^\\\YYYWWWVVVTTTRRROOOMMMMMMKKKJJJHHHFFFEEEDDDCCCBBBBBBCCCDDDCCCAAA>>>============>>>>>>>>>>>>>>>>>>>>>>>>============??????@@@@@@@@@AAAAAAAAA???@@@AAACCCDDDEEEEEEEEEIIIJJJJJJJJJKKKMMMQQQTTT]]]```cccggglllrrryyy~~~}}}yyyuuurrroooiiieee]]]YYYTTTMMMIIIHHHKKKNNN\\\mmmwwwqqqzzzxxxjjj___RRRFFFBBBDDDJJJIIIOOO]]]nnn~~~qqq___QQQLLLNNNOOONNNNNNNNNPPPSSSMMMMMMLLLLLLKKKIIIHHHGGG999555000---++++++***))),,,++++++***************)))))))))))))))(((((('''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((((())))))***'''((())))))******))))))((((((((()))***+++***((())))))))))))))))))))))))'''&&&&&&%%%%%%&&&&&&'''''''''&&&%%%%%%%%%%%%%%%$$$$$$%%%&&&'''((()))***((('''&&&&&&&&&&&&'''((((((&&&%%%'''***+++***)))''''''((((((((((((''''''&&&&&&'''(((((((((((((((''''''''''''((((((((((((%%%&&&''''''''''''''''''(((((((((((((((((((((((('''(((((())))))(((((('''''''''''''''''''''''''''(((((((((((()))))))))))))))******+++***)))((('''))))))))))))))))))))))))************************(((***++++++******+++,,,,,,,,,,,,---------..............................,,,---.........///111333777>>>JJJXXXiii}}}{{{kkk___XXXXXXbbbmmm{{{oooccc^^^WWWSSSWWW]]]cccnnnxxxyyytttnnnjjjkkkmmmpppuuu{{{~~~{{{yyy}}}yyyvvvrrroookkkhhhfffccc```^^^[[[YYYVVVTTTSSSQQQOOOLLLKKKJJJIIIGGGFFFDDDCCCBBBAAA@@@??????@@@@@@>>>======<<<<<<<<<;;;:::::::::<<<<<<<<<<<<<<<;;;;;;;;;=========>>>>>>>>>>>>???>>>???@@@AAACCCCCCCCCCCCEEEFFFGGGGGGGGGJJJMMMPPPTTTVVVYYY]]]aaaffflllqqquuuzzz{{{vvvtttqqqllliiiaaa^^^ZZZTTTPPPNNNOOOPPPVVVdddzzz|||uuusssxxxuuujjj\\\NNNEEEDDDDDDDDDHHHQQQ\\\jjj}}}mmm___PPPOOONNNNNNNNNOOOOOOOOONNNNNNMMMMMMLLLJJJIIIHHH>>>:::444000---,,,+++***++++++***))))))))))))***)))))))))))))))(((((('''))))))((('''&&&%%%%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((((()))******++++++******))))))(((***+++,,,***)))(((((((((((((((((((((((('''&&&&&&%%%%%%&&&&&&'''''''''''''''&&&&&&&&&&&&$$$$$$%%%&&&'''((()))***((('''&&&&&&&&&&&&'''(((((('''&&&''')))******)))''''''((((((((((((''''''&&&&&&'''(((((((((((('''''''''''''''((((((((((((''''''''''''''''''&&&%%%(((((((((((((((((((((((('''''''''(((((('''''''''''''''''''''''''''''''''(((((((((((()))))))))))))))************)))(((((())))))))))))))))))))))))************************)))***++++++******+++---,,,,,,,,,---------..............................---...///......000333555===EEESSSbbbqqq}}}nnn]]]UUUVVV___nnn{{{zzzpppeee]]]]]]ZZZZZZ```iiisssyyyjjjgggfffhhhjjjooozzzzzz~~~}}}yyytttpppllliiieeebbb```^^^[[[YYYVVVTTTQQQPPPOOOMMMJJJHHHGGGGGGEEEDDDBBBAAA@@@???>>>===;;;;;;<<<===<<<;;;;;;;;;:::999888777666666999999999999999999999999::::::::::::;;;;;;;;;;;;<<<<<<>>>???@@@@@@AAAAAA@@@AAABBBCCCCCCEEEHHHKKKJJJLLLOOOQQQTTTXXX^^^aaaiiimmmssszzz{{{wwwtttooollleeedddaaa^^^ZZZWWWUUUSSSRRR]]]mmm}}}~~~rrrsssxxx{{{mmm[[[MMMGGGBBBBBBCCCGGGLLLVVVjjj{{{qqqYYYUUUPPPNNNOOOPPPOOOMMMOOOOOOOOONNNMMMLLLKKKJJJEEE@@@999444111...---++++++******)))))))))))))))))))))******))))))(((''')))((('''%%%%%%&&&&&&'''((((((((((((((((((((((((''''''''''''&&&&&&&&&&&&))))))***+++++++++++++++***))))))***,,,,,,+++***'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&''''''(((((((((((((((''''''&&&&&&&&&''''''''''''((('''''''''&&&&&&'''''''''''''''''''''((()))))))))''''''((((((((((((''''''%%%&&&''''''((((((''''''''''''''''''(((((((((((())))))******)))(((''''''((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&''''''''''''''''''''''''(((((((((((())))))))))))))))))*********)))))))))))))))))))))))))))))))))************************)))***,,,+++******+++---,,,,,,,,,---------......---------...............000000000000111444999===GGGOOO[[[gggsssrrrcccVVVSSS[[[hhhxxx|||nnnccc]]]ZZZ]]]```gggpppzzz~~~uuufffeeegggiiillluuu}}}zzztttnnniiigggddd```]]]\\\ZZZWWWUUURRROOOMMMLLLKKKIIIGGGEEEDDDDDDBBBAAA@@@>>>======<<<:::888888999:::::::::888888777777666666666555777777777888888888888888888888888888999999999999999:::;;;<<<============<<<>>>?????????AAACCCFFFFFFGGGJJJLLLMMMPPPTTTWWW\\\```eeekkksss{{{~~~xxxrrrnnniiihhhgggfffddd```\\\XXXUUU[[[dddnnnxxx}}}~~~lllYYYNNNIIIEEEBBBDDDGGGNNN\\\iiizzzhhh___SSSMMMNNNPPPPPPNNNPPPPPPPPPPPPOOONNNMMMLLLJJJEEE>>>888444111...++++++***))))))(((((()))))))))************)))(((((('''&&&&&&%%%%%%'''((()))((((((((((((((((((((((((%%%%%%%%%%%%%%%%%%%%%%%%))))))***+++++++++++++++***))))))***,,,,,,+++***&&&&&&&&&&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''''''''((())))))((((((''')))(((((('''&&&&&&%%%%%%&&&''''''''''''''''''&&&&&&'''((((((''''''((((((''''''((((((((((((''''''%%%&&&&&&'''''''''''''''''''''''''''(((((((((((())))))******)))(((''''''((((((((((((((((((((((((&&&&&&''''''''''''&&&&&&(((((((((((((((((((((((((((((((((((())))))))))))))))))))))))))))))******))))))))))))))))))))))))************************)))+++,,,,,,++++++,,,---,,,,,,,,,---------......---------.........//////000000000111444:::BBBHHHXXX]]]eeelllsss||||||fff\\\UUUXXXbbbnnn|||~~~pppcccZZZZZZ]]]ccclllyyywwwpppfffgggjjjnnnrrr}}}}}}{{{yyyvvvpppiiidddbbb```\\\YYYXXXVVVSSSQQQNNNLLLJJJHHHHHHGGGDDDBBBAAAAAA@@@???===<<<;;;;;;;;;999666666888999999999555555555666666777777777666666666777777888888888777777777888888888888999777888999::::::;;;;;;::::::<<<===>>>===>>>AAACCCCCCEEEGGGHHHIIIJJJMMMPPPRRRUUUZZZ___eeennnvvv|||xxxrrrnnnmmmllllllkkkhhhccc___\\\]]]```ccchhhooovvv{{{~~~jjj[[[QQQHHHBBBCCCGGGLLLQQQVVVbbbpppvvviiiXXXMMMKKKMMMNNNNNNPPPQQQQQQQQQPPPOOONNNMMMMMMIIICCC===888444///,,,+++******)))))))))))))))***************))))))(((%%%%%%%%%&&&'''((())))))&&&&&&&&&&&&&&&&&&&&&&&&$$$%%%%%%%%%%%%%%%%%%%%%((()))******++++++******))))))(((***+++,,,***)))'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&((()))))))))((('''))))))((('''&&&%%%%%%$$$&&&&&&'''(((((('''&&&&&&&&&'''((((((&&&&&&'''(((''''''((((((((((((''''''%%%%%%&&&''''''''''''&&&''''''''''''((((((((((((''''''''''''''''''&&&%%%(((((((((((((((((((((((('''''''''(((((('''''''''(((((((((((((((((((((((((((((((((((()))))))))))))))))))))((())))))***+++))))))))))))))))))))))))***************************+++,,,,,,++++++,,,...,,,,,,,,,---------......,,,,,,------...///////////////000222888BBBMMMUUUhhhkkkoooqqqtttzzznnn___ZZZYYY```iiisss}}}}}}pppddd\\\YYY^^^eeennn|||~~~yyysssnnniiijjjmmmrrryyy~~~{{{yyyvvvssspppkkkeee```^^^[[[XXXUUUTTTRRRPPPNNNKKKIIIGGGFFFEEEDDDBBB@@@>>>>>>===<<<;;;:::999999888777555666777999888777333333444555666777888888444444555555666666777777666666666777777777888888666777888888999999999888888:::<<<===<<<===>>>@@@???AAACCCDDDDDDEEEGGGIIIKKKNNNQQQUUUZZZaaahhhllltttwww|||yyyvvvsssrrrrrrooojjjeeecccaaa^^^]]]]]]```cccfffvvv}}}lll[[[OOOEEEDDDFFFGGGGGGHHHQQQ^^^nnn|||tttbbbSSSLLLKKKLLLMMMPPPQQQQQQQQQPPPPPPOOONNNMMMJJJGGGCCC>>>888222...,,,++++++*********************++++++******)))(((&&&&&&''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%&&&&&&''''''((('''((())))))******))))))((((((((()))***+++***((('''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''$$$%%%'''))))))((('''&&&''''''''''''''''''''''''&&&&&&'''(((((('''&&&&&&%%%''')))(((&&&%%%&&&(((''''''((((((((((((''''''$$$%%%&&&&&&''''''&&&&&&''''''''''''((((((((((((%%%&&&''''''''''''''''''(((((((((((((((((((((((('''(((((())))))(((((('''(((((((((((((((((((((((((((((((((((())))))))))))***)))((((((((()))+++,,,))))))))))))))))))))))))***************************+++---,,,++++++,,,...,,,,,,,,,---------......,,,,,,------...//////000000111333777@@@MMM[[[dddooorrruuuvvvwwwzzz}}}ooobbb^^^^^^ccckkkrrryyy{{{nnnbbb]]]\\\^^^fffooo{{{~~~xxxvvvtttrrrppppppooorrrxxx~~~|||{{{{{{vvvtttpppmmmiiieee```]]]ZZZWWWTTTRRRPPPOOOLLLKKKHHHFFFDDDCCCBBBAAA???===;;;:::999999888777666666555444444555777777666555333333444444555555666666111222222333444444555555444555555555555666666666666666777888888888777777777999;;;;;;;;;;;;<<<>>>;;;===???@@@@@@AAABBBDDDGGGIIILLLNNNQQQUUUZZZ^^^fffiiinnnsssxxx~~~}}}yyyxxxuuuoookkkjjjgggaaa]]]ZZZZZZZZZZZZdddppp}}}jjj]]]PPPIIIFFFCCCDDDFFFHHHQQQ]]]iiixxxqqqaaaUUUOOOMMMNNNPPPPPPQQQQQQPPPPPPOOOOOOMMMLLLJJJIIIEEE>>>666000---,,,,,,+++++++++++++++***++++++++++++***))))))'''(((((()))(((&&&%%%$$$((((((((((((((((((((((((&&&&&&''''''((()))******''''''((()))))))))))))))(((''''''(((******)))((((((((((((((((((((((((((('''&&&&&&%%%%%%&&&&&&'''###%%%'''((()))((('''&&&$$$%%%%%%&&&'''((())))))%%%&&&'''(((((('''&&&%%%%%%''')))(((&&&$$$&&&(((''''''((((((((((((''''''$$$%%%&&&&&&''''''&&&&&&''''''''''''((((((((()))''''''((()))*********)))(((((((((((((((((((((((((((((())))))))))))(((((())))))))))))))))))))))))(((((((((((())))))))))))***)))(((((((((***+++,,,))))))))))))))))))))))))***************************,,,------,,,+++---...,,,,,,,,,---------......,,,,,,------...///000000444555777===GGGVVVfffqqqooossswwwxxxxxxyyy|||zzztttoooeee\\\bbbdddkkktttzzz|||pppdddYYYYYY^^^cccllluuuxxxrrrqqqsssttttttvvvtttvvv~~~}}}|||zzzyyyxxxsssppplllhhheeeaaa]]]ZZZXXXUUUQQQOOONNNLLLJJJHHHEEECCCAAA@@@@@@???===;;;888888777666555444444333222222333555666777555333444444333333333333333333///000000111222333333333333333444444444555555555666666777777777777777777555777::::::::::::;;;<<<999<<<>>>?????????@@@BBBDDDFFFIIIKKKLLLOOORRRUUU]]]```dddiiinnnttt{{{~~~{{{xxxsssnnnppplllfff```\\\ZZZXXXVVVSSS^^^ooowwwkkk]]]QQQHHHCCCFFFLLLDDDKKKSSS\\\kkk|||ooo```VVVQQQPPPPPPPPPPPPQQQPPPPPPOOOOOOMMMMMMMMMMMMIIIBBB999333...---,,,,,,++++++,,,,,,***++++++++++++***))))))((((((''''''''''''(((((()))))))))))))))((((((((('''&&&&&&%%%%%%&&&&&&'''(((''''''''''''&&&&&&&&&'''''''''''''''''''''''')))((('''%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%((((((((('''&&&&&&&&&%%%''''''''''''''''''''''''''''''((((((((((((''''''''''''''''''(((((((((((((((((((((((((((((((((((('''((((((((((((((('''&&&''''''''''''((((((((((((((((((''''''''''''(((((())))))))))))))))))))))))))))))))))))))))))))))))*********)))))))))))))))*********)))))))))))))))***+++,,,---......---,,,*********++++++,,,,,,---,,,,,,,,,---------......---,,,,,,,,,,,,---......111......111222000111555333666>>>JJJVVVbbbnnnxxxzzz}}}~~~{{{xxxyyyzzzuuuuuuqqqjjjbbb^^^^^^```fffoooyyyyyyooofff___\\\aaagggmmmyyy|||tttoooqqqvvvxxxwwwuuuqqqvvv}}}~~~{{{yyyxxxvvvsssqqqqqqmmmfffaaa]]]ZZZWWWUUURRRQQQNNNLLLJJJHHHGGGGGGDDDBBB???======<<<:::888888777666555444333333333111111111111111111111111222222111111111111222222222222111111111111222222333444444555555444444333333333333444444444555555222444666777666777999;;;<<<;;;;;;<<<<<<===>>>???AAAAAACCCDDDFFFHHHIIIJJJRRRUUUXXX\\\aaahhhooouuu|||{{{wwwtttqqqmmmhhhdddbbb___ZZZUUUXXXZZZ```lll|||~~~nnncccXXXMMMHHHJJJAAAEEELLLTTT\\\hhh|||sss___RRRPPPPPPOOOQQQSSSRRROOOOOOSSSNNNNNNMMMLLLKKKGGGBBB>>>666333000,,,******+++++++++******++++++***(((%%%))))))(((((((((((())))))'''''''''''''''''''''''''''&&&&&&%%%%%%&&&&&&'''&&&&&&&&&'''''''''((((((''''''''''''''''''''''''(((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%'''''''''''''''&&&&&&&&&''''''''''''''''''''''''''''''((((((((((((''''''''''''''''''((((((((((((((((((((((((((((((((((((''''''((((((((((((((('''''''''''''''((((((((((((((((((''''''''''''(((((())))))))))))))))))))))))))))))))))))))))))))))))***)))))))))))))))))))))************************((())))))***++++++******+++++++++++++++,,,,,,,,,+++++++++,,,,,,,,,------------,,,,,,------...///...,,,---000111000222777888>>>IIIWWWcccnnnyyy}}}zzzxxxwwwpppmmmfff___\\\\\\```dddrrryyy~~~yyypppfff___\\\^^^gggqqqzzz~~~yyytttpppqqqtttuuuuuuttttttyyy~~~{{{yyywwwuuussspppnnnmmmiiiccc^^^[[[XXXUUUSSSMMMKKKIIIGGGEEECCCBBBBBBAAA???<<<;;;:::999888666666666555444333333333333111111111111111111111111222111111000000111111222222111111000000111111222333333444444444444333333333333333333444444444444333444666666666666888999::::::::::::;;;<<<===>>>>>>???@@@BBBDDDEEEGGGGGGKKKMMMPPPTTTXXX^^^eeejjjtttyyy}}}xxxsssooojjjfffeeebbb]]]YYYXXXXXXZZZbbbnnn{{{rrrdddUUUKKKIIIGGGHHHKKKPPPUUUaaauuuooo```WWWNNNLLLMMMQQQRRROOONNNQQQPPPOOONNNMMMLLLIIIEEEBBB:::777333...+++******+++++++++***+++,,,+++)))'''***))))))))))))))))))***%%%&&&&&&&&&&&&&&&&&&&&&''''''&&&&&&&&&&&&''''''$$$$$$%%%&&&'''((()))***''''''''''''''''''''''''''''''((((((''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&%%%%%%%%%%%%%%%%%%%%%%%%&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''((((((((((((''''''''''''''''''((((((((((((((((((((((((((((((((((((&&&&&&'''((()))))))))(((''''''''''''(((((((((((()))((((((''''''(((((()))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))******************************)))))))))((())))))***+++,,,,,,,,,,,,++++++++++++*********+++++++++,,,,,,---------,,,------...///...,,,---000111111555<<<@@@KKKZZZjjjwww}}}wwwssskkkddd\\\XXXZZZaaaiiinnn~~~|||tttmmmeee]]]^^^___fffsss}}}~~~|||wwwrrrwwwvvvuuutttssstttttttttwww{{{~~~~~~|||zzzwwwtttrrrqqqooollliiihhhddd___ZZZWWWTTTQQQNNNHHHGGGEEECCCAAA??????>>>>>>;;;999777777777555444555444333222111111111111111111111111111111111111222111111000000111111222222111111000000111111222222333333444444333333222222222333333333444444444333555666666555555666888888888888888999:::;;;<<<;;;<<<===???@@@BBBCCCDDDEEEFFFIIIKKKOOOTTTZZZ^^^ggglllsssyyy~~~yyytttooolllkkkiiidddaaa]]][[[YYY[[[bbbiiipppssswwweeeVVVOOOJJJGGGEEEFFFJJJSSSfffvvvppp___QQQLLLKKKOOORRRQQQOOOPPPRRRPPPOOONNNNNNLLLJJJGGGAAA>>>888222...+++++++++,,,+++***+++,,,,,,***((())))))(((((((((((())))))%%%%%%&&&&&&&&&&&&&&&'''''''''&&&&&&&&&&&&''''''%%%%%%&&&&&&'''(((((()))''''''''''''''''''''''''&&&'''((((((((('''%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&'''(((((((((''''''''''''''''''''''''''''''((((((((((((''''''''''''''''''((((((((((((((((((((((((((((((((((((%%%%%%'''((())))))))))))''''''''''''(((((((((((())))))(((((((((((())))))(((((((((((((((((((((((()))))))))))))))))))))))))))))))))))))))******************+++++++++++++++,,,+++***)))******,,,------------,,,,,,++++++***++++++++++++,,,,,,,,,,,,---------------...//////111///000222222444:::BBBLLLZZZnnn~~~wwwpppeee```[[[]]]eeeooowww{{{|||rrriiieeeaaa___gggkkkttt}}}tttqqqqqqooonnnnnnvvv{{{~~~{{{xxxwwwvvvuuuwww{{{wwwtttwww|||~~~}}}}}}}}}{{{yyyuuussspppnnnllljjjgggdddbbb___ZZZVVVSSSPPPMMMJJJGGGEEEDDDBBB@@@>>>>>>===;;;999666555555555444333333222111000000000000000111111111111111111111111111111000000000000111111111111000000000000111111222222333333333333222222222222222222333333333333333444555555444333444666666666666666777888999:::999:::;;;<<<>>>???@@@AAABBBDDDFFFHHHJJJMMMRRRUUUZZZ___ffflllqqqwww~~~xxxuuusssqqqmmmjjjiiieeeaaa___```cccfffggguuu}}}yyyggg\\\LLLFFFBBBBBBEEELLLZZZggg{{{jjj[[[RRRKKKMMMQQQQQQQQQRRRRRRPPPNNNNNNNNNNNNLLLKKKHHHEEE???888222///,,,,,,+++***)))***+++,,,***)))'''''''''&&&&&&'''''''''&&&&&&''''''((((((((()))(((''''''&&&&&&''''''(((''''''''''''''''''''''''''''''''''''''''''''''''&&&'''((((((((('''%%%$$$&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&%%%&&&&&&&&&'''(((((((((''''''''''''''''''''''''''''''((((((((((((''''''''''''''''''((((((((((((((((((((((((((((((((((((%%%%%%'''((())))))))))))''''''''''''(((((((((((())))))(((((((((((())))))(((((((((((((((((((((((())))))))))))))))))))))))(((((())))))***************+++++++++,,,,,,,,,------,,,+++******+++,,,---...------,,,,,,+++++++++,,,,,,,,,,,,------------...------------...//////222111111222333555>>>HHH\\\mmmuuummmaaabbbeeennnyyy}}}rrrhhhbbbbbbfffkkksssyyyuuuiiiffffffggglllrrrxxx}}}yyyxxxzzz~~~}}}rrrllllllqqqzzz}}}||||||{{{xxxvvvqqqnnnkkkiiigggdddaaa___]]]ZZZVVVRRRPPPMMMIIIGGGDDDCCCAAA???>>><<<<<<<<<999777555444555555444333111111000////////////000000000000000000000000000111000000000000000000111111000000000000000000111111111222222222222111111111111111222222222333333222333444444333222333555444444444555555666777888999999:::;;;===>>>??????AAABBBDDDEEEFFFIIILLLOOOPPPUUU[[[```dddjjjqqqwww~~~}}}{{{yyyuuuqqqrrrnnnjjjgggfffffffffeeejjjsss|||xxxyyyxxxiiiRRRKKKFFFFFFGGGLLLTTT]]]jjj}}}jjj^^^QQQMMMNNNNNNOOORRRQQQOOONNNNNNNNNNNNMMMLLLLLLIIIDDD???999444000...,,,***))))))***+++***)))'''&&&&&&%%%%%%&&&&&&'''''''''(((((()))*********((((((''''''''''''(((((((((((('''''''''&&&&&&&&&''''''''''''''''''''''''''''''((((((''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''''''''''''''''''''((((((((((((''''''''''''''''''((((((((((((((((((((((((((((((((((((&&&&&&'''((()))))))))(((''''''''''''((((((((((((***))))))(((((())))))***))))))))))))))))))))))))))))))))))))))))))))))))((((((((()))******+++++++++++++++,,,,,,------...,,,+++******)))*********------------,,,,,,,,,,,,,,,,,,---------...............------......///000000///000222333777DDDPPPkkk|||{{{qqqjjjaaaiiiwww{{{rrrhhhbbb```cccnnnyyy}}}xxxkkk```___aaaeeennnzzz}}}}}}~~~xxxooojjjjjjjjjqqqzzz~~~}}}{{{zzzxxxvvvssspppkkkiiieeecccaaa^^^[[[XXXWWWTTTQQQNNNLLLIIIFFFCCC???>>>===;;;999999888888777555333333444444444333000000///////////////000000000000000000000000000111000000//////000000111111000000//////000000111000111111222222111111000000000111111111222222222000222333333222222333555333333333444444555666777888888999:::;;;<<<=========???AAABBBBBBDDDGGGIIIJJJOOOTTTWWWZZZ^^^dddiiimmmttt|||~~~zzzyyyvvvsssqqqpppooommmkkkeeekkkuuu{{{ttttttvvvvvv\\\SSSJJJGGGGGGGGGKKKQQQ___ppp}}}nnn^^^TTTOOOLLLMMMPPPPPPOOONNNNNNOOOOOOMMMKKKLLLKKKIIIEEE@@@:::555222...,,,*********+++***)))''''''&&&&&&&&&&&&''''''''''''((())))))***++++++((((((''''''''''''((((((&&&&&&&&&'''''''''''''''''''''''''''''''''''''''(((((('''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''''''''''''''''''''''''''''''''''''''&&&&&&&&&''''''''''''''''''''''''''''''((((((((((((''''''''''''''''''((((((((((((((((((((((((((((((((((((''''''((((((((((((((('''''''''''''''((((((((((((******))))))))))))******))))))))))))))))))))))))))))))))))))))))))))))))'''(((((()))******++++++++++++,,,,,,---.........,,,,,,,,,,,,,,,+++******,,,,,,,,,---------------++++++,,,,,,,,,---------...............//////000//////111555777???NNN]]]rrrtttkkkggghhhwww}}}pppiiibbbaaabbbgggtttqqqeee]]]aaafffjjjvvv~~~xxxuuupppjjjiiimmmpppwww~~~{{{zzzyyyvvvuuussspppllliiifffccc```]]][[[XXXUUURRRQQQOOOLLLJJJHHHEEEAAA???<<<;;;:::888777666666666555333222111333333333222000000////////////000000000000000000000000000000000000////////////000000000000////////////000000000000111111111111000000000000000000111111111222...000222222111222333555333333333333444555666666777777888888999:::;;;;;;;;;===???@@@@@@AAACCCEEEGGGJJJNNNPPPQQQTTTYYY]]]^^^eeemmmtttzzz~~~zzzvvvllllllnnnssszzzssspppwwwpppbbbTTTLLLGGGEEEEEEHHHVVV^^^mmmrrrdddXXXOOONNNQQQPPPOOOPPPPPPQQQPPPMMMJJJJJJKKKKKKJJJFFF@@@:::666222000---,,,,,,,,,+++***((((((''''''''''''(((((('''''''''((()))******+++((((((''''''''''''(((((($$$%%%%%%&&&'''((())))))'''''''''''''''''''''''')))((('''%%%%%%&&&''''''&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''''''''''''''(((((((((''''''&&&&&&%%%''''''''''''''''''''''''''''''((((((((((((''''''''''''''''''((((((((()))(((((((((((((((((((((((('''(((((((((((((((''''''''''''''''''((((((((()))******))))))))))))******))))))))))))))))))))))))))))))))))))))))))))))))'''(((((()))***+++++++++++++++,,,,,,---...//////......///000///...,,,+++,,,,,,,,,------.........******+++++++++,,,,,,,,,...............///000000000111444999===FFFXXXhhhrrr}}}ooogggeeeppp|||ssshhhbbb___bbbdddiiiwwwmmmccc___gggmmmqqq}}}}}}|||}}}}}}{{{tttoooooommmjjjlllrrrxxx~~~|||zzzwwwuuusssqqqoookkkgggcccbbb___\\\YYYWWWTTTPPPNNNNNNLLLIIIGGGEEECCC???<<<<<<<<<:::999777777666666333222000000111222222111000000/////////000000111000000000000000000000000000000////////////000000000000////////////000000000000111111111111000000000000000000111111111111---///111111111222444555333333333333444555666666555666666777888999999:::;;;===???@@@@@@AAACCCEEEEEEHHHKKKLLLLLLNNNSSSWWWUUU\\\dddjjjnnnuuu~~~uuuqqqlllkkksssyyytttooovvvbbbUUUNNNIIIHHHJJJNNNPPP\\\qqqssscccUUUQQQSSSPPPPPPQQQRRRSSSQQQMMMJJJHHHJJJMMMMMMJJJDDD===999555333///...------,,,+++''''''''''''''''''''''''''''''(((((())))))******&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((('''&&&%%%%%%&&&'''((('''&&&&&&'''((('''''''''&&&&&&%%%%%%%%%%%%%%%%%%&&&&&&&&&''''''''''''((((((((((((''''''(((((('''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&))))))))))))))))))))))))((('''&&&%%%%%%&&&'''((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))))))))(((((((((((())))))++++++)))(((''''''''''''+++***)))))))))))))))***%%%&&&((()))*********)))))))))))))))))))))))))))*********++++++,,,,,,,,,*********++++++,,,,,,,,,------------------------///000000000000000000111444111444===EEEMMM[[[hhhuuu~~~oooffffffjjjyyyrrriii\\\YYY[[[ccckkkrrrxxxiiiiiilllqqqtttzzz~~~zzzwwwnnnkkkhhhgggiiiooovvvzzz|||~~~|||yyywwwuuurrrmmmiiifffccc___]]]YYYXXXVVVSSSPPPMMMKKKJJJIIIGGGEEECCC@@@===;;;:::777777666444444333333333444333222000///.........000000000000000000000000//////000000000000//////............////////////000000////////////000000222111111111000000//////000000000000000000000000000000000000111111111111111111222333333444555555444444444555666888::::::;;;;;;<<<===>>>???@@@@@@BBBCCCEEEGGGIIIKKKMMMNNNRRRVVVZZZ___ccciiinnnrrr~~~vvvmmmiiijjjsssvvv|||rrrdddXXXLLLGGGHHHFFFIIISSS```mmm}}}rrrdddXXXQQQSSSRRRPPPOOONNNNNNNNNNNNLLLLLLMMMMMMKKKHHHEEECCC;;;999555000---*********'''''''''''''''''''''''''''((((((((((((((())))))&&&&&&&&&&&&&&&&&&&&&&&&''''''(((((('''&&&&&&%%%&&&'''((('''&&&&&&'''((('''''''''&&&&&&%%%%%%%%%$$$$$$$$$$$$%%%%%%%%%%%%''''''((((((((((((''''''(((((('''''''''&&&&&&&&&************************''''''''''''''''''''''''((('''&&&&&&&&&&&&'''((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))))))))(((((((((((())))))''''''''''''((((((((((((***)))))))))))))))))))))&&&'''((()))*********)))************************++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,---------........................,,,---...//////000111111888888===HHHQQQXXXdddnnnsss||||||mmmgggjjjooovvvjjjddd^^^]]]aaajjjrrryyyvvvooooooqqquuuyyyyyytttmmmkkkiiiiiilllssszzz}}}|||{{{yyyvvvtttqqqmmmhhhdddaaa]]]ZZZWWWTTTSSSQQQNNNKKKIIIGGGEEECCCCCCAAA???===;;;:::999777666555444333333333333222111000000///000000000////////////////////////......////////////..................////////////000000000//////000000000111111111000000000//////000000000000000000000000//////000000000111111111111111222222333444444555555555555555666777888888:::;;;;;;<<<===>>>??????AAAAAACCCEEEGGGHHHJJJKKKNNNQQQUUUYYY]]]bbbgggkkkssszzztttllliiikkksss}}}pppaaaRRRIIIGGGEEEFFFLLLUUU```oooqqqddd[[[UUUSSSPPPOOONNNOOOOOOOOONNNNNNNNNNNNMMMKKKIIIGGG???<<<888333///,,,+++***''''''''''''''''''''''''((((((((('''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&'''''''''(((''''''&&&%%%&&&'''((('''&&&&&&'''((('''''''''&&&&&&&&&&&&&&&$$$%%%%%%%%%%%%&&&&&&&&&''''''(((((((((((('''''''''''''''''''''&&&&&&&&&((((((((((((((((((((((((''''''''''''''''''''''''((('''&&&&&&&&&&&&'''((((((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))))))))(((((((((((())))))"""###%%%'''))))))))))))((((((((((((((()))))))))''''''((()))************++++++++++++++++++++++++,,,,,,++++++++++++++++++......---------------,,,////////////////////////+++---///000000111333555888<<>>===<<<;;;:::999888888666555444333333222333333////////////000000111222////////////////////////------............------............////////////111111000000000000111111111111000000000000//////000000000000000000000000//////000000000000111111111111111222333333444444666666555555555555555666999999:::;;;<<<===>>>>>>??????@@@BBBCCCEEEFFFFFFIIIKKKOOORRRUUUYYY]]]```eeekkkttt}}}}}}ssskkkfffhhhmmmxxxooo^^^PPPJJJGGGEEEEEEJJJRRR^^^pppttthhhYYYVVVQQQNNNNNNPPPQQQQQQOOONNNNNNMMMLLLLLLKKKKKKDDDBBB>>>999444000---,,,''''''''''''''''''''''''((((((''''''&&&&&&%%%%%%''''''''''''''''''''''''&&&'''''''''''''''&&&&&&&&&'''((('''&&&&&&&&&((('''''''''''''''&&&&&&&&&'''''''''((((((((())))))''''''(((((((((((('''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&'''''''''(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((())))))(((((((((((())))))"""###&&&)))******)))((('''((((((((()))))))))((((((((())))))************++++++++++++++++++++++++,,,,,,,,,++++++*********......------,,,,,,++++++.............../////////---000222333222333777999<<>>>>>???@@@AAABBBBBBCCCFFFHHHKKKMMMOOORRRUUUXXX\\\aaagggnnnuuu{{{ssskkkhhhiiiiiiuuunnn]]]TTTKKKGGGEEEGGGKKKSSSaaammm}}}uuuaaa[[[SSSNNNNNNOOOPPPPPPMMMMMMLLLKKKKKKKKKLLLLLLIIIGGGDDD???:::555111///''''''''''''''''''''''''((((((''''''&&&&&&%%%%%%''''''''''''''''''''''''&&&&&&'''''''''''''''&&&&&&'''((('''&&&&&&&&&((('''''''''''''''''''''''''''''''''((((((((())))))''''''((((((((((((''''''&&&'''''''''''''''''''''))))))))))))))))))))))))((((((((((((((((((((((((&&&''''''''''''''''''&&&(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((())))))(((((((((((())))))%%%&&&(((***+++***((('''''''''((()))******)))))))))))))))))))))*********************************,,,,,,,,,++++++*********------,,,,,,++++++******,,,,,,---------............111333333222444:::???IIISSSaaammmuuuzzz||||||xxx}}}~~~uuusssnnnlllmmmsss|||wwwmmmddd```eeelllsss{{{~~~yyyxxxwwwvvvssssssyyy||||||||||||yyyxxxuuurrrpppnnnllliiieeebbb```]]]XXXTTTQQQNNNJJJGGGDDDDDDBBBAAA???===<<<;;;;;;:::999777666444333222333222222111111111111222111000000///.../////////......................../////////000000/////////............////////////111111000000000000111111//////////////////000000////////////////////////...////////////000000000000000111111111111111222111111111222333555666777666666777888999::::::;;;>>>>>>??????@@@AAAAAAAAAEEEGGGIIIJJJKKKNNNQQQTTTWWW[[[```dddiiiqqq{{{zzzqqqllllllhhhllluuu~~~}}}kkk^^^QQQLLLHHHHHHIIILLLUUU]]]kkkzzzmmmdddXXXPPPNNNOOOOOOOOONNNMMMLLLLLLLLLLLLMMMMMMMMMKKKIIIEEE@@@:::555333''''''''''''''''''''''''((((((((('''''''''''''''''''''''''''''''''''''''%%%&&&''''''((('''''''''&&&'''((('''&&&&&&'''((('''''''''''''''((((((((($$$%%%%%%%%%%%%&&&&&&&&&''''''((((((((((((''''''&&&&&&&&&'''''''''''''''''''''''''''''''''''''''))))))))))))))))))))))))&&&&&&'''(((((('''&&&&&&(((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))))))))(((((((((((())))))((())))))******)))((('''&&&((()))+++++++++************)))))))))******+++)))))))))))))))))))))))),,,,,,++++++++++++++++++,,,+++++++++++++++******++++++,,,,,,---............000222222111666???GGGVVVaaallltttzzz|||~~~~~~{{{vvvkkkkkkkkkmmmqqqwww|||~~~uuukkkeeebbbdddnnnxxx}}}xxxwwwxxxyyywwwttttttzzz~~~{{{xxxvvvtttooommmjjjhhheeebbb^^^[[[ZZZWWWSSSOOOMMMJJJGGGEEEAAAAAA@@@>>>===;;;::::::999888777666444333222111222111000000000000111111111000//////....................................//////000000000000//////............////////////000000////////////000000......////////////000000000000000000000000000000......////////////000000000000000000000000000000///000000111222444666777444444555666777888999999<<<======>>>???@@@AAAAAADDDEEEGGGHHHIIIKKKNNNPPPSSSVVVZZZ]]]```fffnnnuuu{{{wwwqqqpppooollllllrrrzzzuuuqqqvvvuuuzzzkkk\\\UUUNNNKKKIIIHHHKKKQQQ^^^lll}}}ppp```TTTPPPOOONNNMMMPPPPPPPPPPPPPPPOOOOOOOOOMMMMMMLLLIIIEEE@@@;;;888'''''''''''''''''''''''''''((((((((((((((())))))''''''''''''''''''''''''%%%&&&&&&'''((((((''''''&&&'''((('''&&&&&&'''(((&&&'''''''''((((((((()))$$$$$$$$$$$$%%%%%%%%%%%%''''''((((((((((((''''''&&&&&&&&&'''''''''((((((&&&&&&&&&&&&&&&&&&&&&&&&((((((((((((((((((((((((&&&&&&'''(((((('''&&&&&&(((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))))))))(((((((((((())))))(((((((((((((((((((((((('''(((***,,,---,,,++++++++++++***))))))******+++************************++++++++++++++++++,,,,,,+++++++++,,,,,,,,,,,,,,,,,,,,,,,,---.../////////...111333333444<<>>===<<<;;;:::999888777555555444333333222111111000000000//////000000111///............///000000...........................//////////////////...............//////////////////............//////........./////////000000000000000000000000000000........./////////000000000000000000000000000000000000000111111333444444333333444555666777888888:::;;;;;;===>>>???@@@@@@AAACCCDDDEEEFFFHHHKKKMMMMMMQQQUUUWWWZZZ^^^eeekkknnnvvv{{{zzzvvvnnnhhhjjjooouuuwwwkkkiiiccckkkzzz}}}lllbbbVVVOOOIIIFFFGGGLLLSSS```qqq~~~iiiZZZSSSQQQOOOLLLPPPQQQRRRRRRQQQPPPOOONNNMMMMMMMMMLLLIIIDDD???<<<''''''''''''''''''''''''''''''(((((())))))******((((((((((((((((((((((((%%%%%%&&&'''((((((((('''&&&'''((('''&&&&&&'''(((&&&'''''''''(((((())))))%%%%%%%%%&&&&&&&&&''''''''''''((((((((((((''''''&&&&&&&&&'''''''''((((((************************''''''''''''''''''''''''%%%&&&'''(((((('''&&&%%%(((((((((((((((((((((((((((((((((((((((((((((((())))))))))))))))))))))))))))))(((((((((((())))))&&&&&&&&&&&&&&&'''((()))''')))+++---...---,,,+++,,,+++***))))))***++++++++++++++++++++++++++++++*********++++++,,,,,,---,,,,,,,,,------.........---------...///000000111///222555666999CCCSSS```pppxxx}}}}}}|||xxxwwwxxxtttmmmooorrrxxx~~~yyyooofff___aaakkkwww|||{{{zzzzzz{{{{{{yyywwwssspppqqqxxx{{{{{{{{{yyyvvvssspppooofffccc```]]][[[WWWSSSOOONNNKKKHHHFFFDDDCCCAAA???::::::999888777666555555111111111111222222222222000000////////////000111,,,---------///000111222........................---..................---............/////////000......------------......---.........//////000000000000000000000000000000............/////////000000000000000////////////222111111111111111222222222333333444555666777777888999:::;;;===>>>???@@@>>>@@@BBBCCCDDDFFFIIIKKKHHHLLLQQQTTTVVVZZZaaafffeeellluuu}}}zzzoooffffffiiimmmwww|||kkkdddZZZ___jjj|||zzzmmm]]]RRRJJJFFFGGGLLLLLLXXXhhhzzzooo^^^VVVSSSOOOMMMOOOPPPQQQQQQQQQOOOLLLKKKLLLMMMNNNMMMKKKFFFBBB???)))(((''''''''''''((((((++++++***)))((('''&&&&&&((((((((((((((((((((((((''''''''''''''''''''''''((((((&&&%%%%%%&&&'''((()))((('''&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&''')))*********(((''''''(((&&&''''''((()))((((((((('''''''''''''''''''''''')))((('''&&&&&&'''((()))''''''''''''(((((((((((()))))))))(((''''''&&&&&&))))))))))))((((((((((((******))))))))))))******************)))))))))))))))************)))((((((******+++++++++,,,,,,,,,************************,,,,,,+++***)))))))))***++++++++++++++++++++++++---------........./////////000111000...------...333555777:::AAAOOObbbppp~~~~~~{{{vvvqqqppprrrxxx|||xxxttteeeeeeggglllvvv}}}|||~~~}}}vvvwwwttttttxxxzzz{{{~~~{{{xxxwwwuuutttrrrnnniiifffaaa^^^ZZZVVVSSSPPPMMMJJJGGGFFFCCCAAA>>>===<<<;;;999888777666444222111111000000000000000000000000////////////////////////000///...---------------,,,,,,------------,,,,,,..................---------------............/////////............//////////////////000000000000////////////////////////000000//////.........---////////////////////////000111111111111222222222444444444555555555555666888999999::::::;;;<<<<<<===>>>@@@BBBEEEFFFGGGHHHHHHJJJMMMOOOPPPSSSWWWYYY___bbbffflllttt}}}xxxmmmgggeeegggooowwwuuuhhhbbb^^^^^^iiizzz}}}kkkZZZOOOIIIGGGGGGHHHPPP]]]mmmtttcccUUUOOOOOOMMMOOOQQQRRRQQQPPPPPPQQQNNNNNNMMMMMMKKKJJJIIIHHH(((''''''&&&&&&''''''((((((((((((((())))))))))))((((((((((((((((((((((((''''''''''''''''''''''''((('''&&&&&&&&&&&&'''((((((((('''&&&&&&&&&&&&&&&'''&&&&&&%%%%%%&&&&&&'''((()))***)))'''&&&'''(((&&&''''''(((((((((((((((''''''''''''''''''''''''(((((('''&&&&&&'''((((((''''''''''''(((((((((((((((((())))))))))))))))))*********)))))))))))))))***))))))(((((())))))***************))))))))))))'''((()))************************+++++++++,,,,,,************************---,,,,,,+++******++++++++++++++++++++++++++++++------------...............///000000///...///111222555;;;CCCPPPcccwww|||yyyuuuwww{{{|||vvvppplllmmmnnnqqqvvv{{{vvvuuuxxx~~~zzzyyy{{{{{{{{{{{{xxxtttsssqqqooommmiiiddd```]]]ZZZVVVRRRPPPMMMJJJGGGDDDCCCAAA???<<<;;;:::999888777666555333222111000000000000000000000000000//////////////////////////////...---------------------............---------------------------------------............//////..................///000000000000/////////...////////////////////////000/////////............////////////////////////000000111111111222222222333333333333444444444444777777888999999::::::;;;;;;===???AAACCCEEEFFFFFFFFFHHHJJJKKKMMMOOOSSSUUUYYY\\\___ccciiiqqqzzzzzzooohhheeeeeelllttt|||pppeee___\\\```jjj{{{{{{gggXXXNNNIIIFFFCCCIIIRRR```qqq~~~mmm^^^TTTPPPNNNOOOQQQRRRQQQPPPPPPPPPNNNNNNNNNMMMLLLKKKJJJIII'''''''''&&&&&&''''''(((''''''((((((((()))))))))((((((((((((((((((((((((''''''''''''''''''''''''''''''&&&&&&&&&''''''((((((((('''&&&&&&&&&&&&''''''&&&&&&%%%%%%&&&&&&''''''((()))(((&&&&&&&&&(((&&&&&&''''''((((((((((((''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''''''''''''''((((((((((((((((((((()))***+++++++++************************)))((((((''''''(((((()))************))))))))))))&&&'''((()))+++++++++,,,*********++++++++++++,,,************************------,,,,,,+++,,,,,,,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,---------......---...////////////111333333777@@@OOOccczzz}}}}}}~~~zzzrrrmmmkkkjjjuuuwww|||{{{tttpppqqquuu~~~|||~~~|||wwwtttooommmjjjhhheeeaaa\\\YYYWWWTTTPPPMMMJJJHHHEEECCC@@@???===;;;999888777777666555444333222111000000000000000000000000000000//////////////////////////////...------------............//////.........,,,,,,,,,,,,,,,,,,,,,,,,---------............///......------------......000000000//////.........////////////////////////////////////............////////////////////////000000000111111111222222111111222222222333333333555666666777888888999999999;;;===???AAABBBCCCDDDCCCDDDFFFGGGHHHJJJMMMOOOTTTVVVXXXZZZ^^^dddjjjooo~~~tttmmmhhhfffjjjppp{{{|||nnnggg```]]]^^^iii~~~sss```RRRHHHCCCCCCEEEJJJRRR___rrr{{{iiiZZZQQQNNNOOOPPPQQQQQQQQQPPPOOOOOOOOOOOOOOONNNLLLKKKJJJ(((((('''''''''((())))))***))))))(((''''''&&&&&&((((((((((((((((((((((((''''''''''''''''''''''''&&&&&&&&&&&&'''''''''((((((''''''&&&&&&&&&'''''''''&&&&&&%%%%%%&&&&&&'''&&&'''((('''&&&%%%&&&'''&&&&&&&&&&&&''''''((((((''''''''''''''''''''''''''''''&&&&&&&&&&&&''''''''''''''''''((((((((((((((((((((())))))*********)))))))))))))))*********((((((''''''''''''((((((************)))))))))((('''''')))******+++++++++************++++++++++++************************---,,,,,,+++++++++,,,,,,+++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,---------------...///......///111333777<<>>@@@@@@AAAAAABBBDDDDDDEEEFFFIIIKKKRRRSSSUUUVVVYYY]]]cccgggqqqzzz|||ssslllhhhiiinnnsss}}}yyyrrrjjjbbb___fffyyymmm[[[MMMFFFHHHFFFGGGKKKSSScccyyyuuubbbTTTNNNNNNNNNNNNPPPQQQQQQPPPPPPPPPPPPPPPOOONNNMMMLLL))))))(((((()))******+++))))))((((((''''''&&&&&&((((((((((((((((((((((((''''''''''''''''''''''''%%%&&&&&&'''''''''((((((''''''&&&&&&&&&''''''((('''&&&&&&%%%%%%&&&&&&'''%%%'''((('''&&&&&&'''((('''&&&&&&%%%&&&'''((((((((((((((((((((((((((((((''''''''''''''''''''''''''''''''''''(((((((((((()))))))))(((((('''''''''''''''''''''(((((())))))((((((''''''''''''((((((************)))))))))((())))))************)))((())))))*********+++++++++************************++++++************++++++++++++,,,,,,,,,---------,,,,,,,,,---------.........//////......///111444<<>>>>>@@@AAABBBCCCCCCDDDGGGIIINNNPPPRRRTTTVVVZZZ___ccchhhppp{{{zzzqqqjjjiiilllooottt}}}}}}uuullleeegggvvvkkkYYYOOOHHHEEEDDDHHHMMMXXXlllooo___RRROOOLLLLLLOOOQQQRRRRRRPPPPPPQQQPPPPPPOOONNNMMM(((((((((((()))***++++++%%%%%%&&&'''((())))))***((((((((((((((((((((((((''''''''''''''''''''''''$$$%%%&&&'''(((((((((((('''&&&&&&&&&&&&'''(((((('''&&&&&&%%%%%%&&&&&&'''&&&'''(((((('''&&&((()))'''&&&%%%%%%%%%&&&((()))((((((((((((((((((((((((''''''((((((((((((''''''''''''''''''(((((((((((()))))))))((('''&&&&&&&&&%%%&&&&&&''''''(((((())))))((((((''''''(((((()))************))))))))))))***************)))(((((()))))))))************+++******************************))))))******++++++++++++,,,,,,------......---------.........////////////000//////111555888BBBLLL]]]rrr|||yyyyyywwwjjjeeehhhpppvvv{{{yyyxxxyyy}}}~~~zzzwwwtttpppjjjggg```]]]YYYVVVSSSPPPMMMJJJFFFDDDAAA??????>>><<<:::777666555444333333333333111111111111111111000000000000000000000000000000////////////////////////...------------...//////.........//////.........,,,------....../////////---------............///......------------......,,,,,,---...///000000111////////////////////////.........////////////////////////////////////////////////000000000111111111111222222222333333333222222222333444444555555555666777999;;;<<<<<<<<<>>>@@@AAABBBBBBCCCFFFHHHIIIKKKNNNPPPRRRVVV[[[^^^bbbhhhqqqxxx}}}xxxnnnkkkmmmppppppttt{{{yyyqqqmmmttt~~~|||fffYYYIIICCCAAAFFFJJJQQQ```pppppp\\\VVVPPPMMMOOORRRSSSSSSPPPPPPPPPPPPPPPOOONNNNNN&&&&&&&&&&&&'''((()))***$$$%%%%%%&&&'''((()))***((((((((((((((((((((((((''''''''''''''''''''''''$$$%%%&&&(((((((((((('''&&&&&&&&&&&&&&&'''(((((('''&&&&&&%%%%%%&&&&&&'''&&&'''))))))(((''')))***'''&&&%%%$$$$$$&&&''')))(((((((((((((((((((((((((((((()))******)))((((((''''''''''''(((((((((((()))))))))(((((((((((((((&&&&&&&&&'''((()))))))))***))))))(((((())))))***************))))))))))))((())))))************)))))))))))))))************************************+++************+++,,,---++++++,,,,,,---......///........./////////000000...///111111333777<<<@@@JJJVVVhhhzzzzzzxxx{{{zzzoookkkooovvv|||~~~yyyyyy{{{{{{~~~yyywwwssspppmmmhhhbbb^^^XXXVVVRRROOOLLLJJJGGGDDDAAA???===;;;;;;;;;999888666555444444333333333333111111111111111111111111000000000000000000000000////////////////////////---------------...//////------............------++++++,,,------...//////---------............//////..................///........................////////////////////////............/////////000////////////////////////////////////000000000111000000000111111111222222111222222333333444555555555666777999:::;;;;;;;;;<<<>>>@@@@@@AAACCCEEEHHHFFFHHHKKKMMMOOORRRVVVYYY]]]aaagggkkkooouuu|||xxxsssssstttooommmqqqtttxxxyyyjjjTTTJJJCCCFFFIIIJJJTTTaaannnkkkaaaVVVOOOOOORRRSSSSSSOOOPPPPPPPPPPPPOOONNNNNN$$$$$$$$$%%%&&&'''((()))'''''''''''''''&&&&&&&&&((((((((((((((((((((((((''''''''''''''''''''''''###$$$&&&((())))))((('''&&&&&&&&&&&&&&&'''((()))'''&&&&&&%%%%%%&&&&&&'''&&&((())))))(((((()))+++'''&&&%%%$$$$$$&&&''')))))))))))))))))))))))))))((()))***++++++***)))(((''''''''''''((((((((()))(((((())))))******++++++&&&''''''((()))******+++******))))))))))))******************))))))))))))&&&'''(((***++++++++++++))))))))))))************************************++++++++++++,,,,,,---...++++++,,,,,,---...//////////////////000000000000...///111333666<<>><<<:::999999888777666666555444444333333444444111111111111222222222222000000000000000000000000////////////////////////---------------...///000,,,------------------,,,******+++,,,,,,---......---------.........////////////............//////111000///...---,,,++++++////////////////////////---.........//////000000////////////////////////////////////000000000000////////////000000000000111222222333444444555555555555777888::::::;;;;;;;;;<<<>>>???@@@BBBEEEGGGEEEGGGJJJLLLMMMPPPSSSVVVZZZ]]]aaacccfffkkksssyyy{{{{{{wwwooojjjkkklllnnnuuu~~~cccTTTIIIIIIHHHFFFLLLVVV]]]rrruuujjj[[[RRRPPPRRRSSSSSSOOOOOOOOOPPPOOOOOONNNNNN''''''''''''''''''''''''(((((((((((('''&&&%%%$$$''''''''''''''''''''''''((((((((((((((((((((((((((('''&&&%%%%%%&&&'''(((''''''''''''''''''''''''(((''''''''''''((())))))'''&&&%%%%%%%%%%%%&&&'''$$$$$$$$$%%%&&&'''((()))(((((('''''''''(((((()))''''''((()))******++++++***))))))((('''&&&&&&%%%(((((())))))))))))((((((******))))))((((((''''''))))))))))))))))))))))))''''''''''''((()))***+++))))))))))))))))))))))))+++*********))))))((((((+++,,,---......---+++*********+++++++++******)))..................------.../////////------///111...333666444444;;;JJJWWWdddkkktttzzz~~~vvvyyy~~~|||yyyuuutttxxx~~~}}}yyyvvvsssmmmkkkgggdddaaa\\\WWWTTTLLLKKKIIIFFFCCC@@@>>>===888888777555555444444444333222111111222222000///000000////////////000000111000000000//////......111000000///...---------000//////.........//////------,,,,,,,,,+++++++++.........------,,,,,,,,,+++++++++,,,,,,,,,------111000///...............//////.........---------000///...---,,,---......------------------------............///////////////////////////000111111,,,,,,---...///000111111111111222222222333333333444444555666777888999999999999;;;<<<>>>@@@BBBBBBDDDEEEFFFFFFGGGJJJOOORRRRRRUUUYYY\\\___cccgggjjjwww~~~~~~{{{ppphhheeefffgggggg{{{}}}www```KKKGGGGGGEEEHHHNNNUUUaaappp|||uuuaaaTTTOOONNNPPPRRRSSSSSSRRRQQQPPPOOOPPPPPP''''''''''''''''''''''''(((((((((((('''&&&%%%%%%''''''''''''''''''''''''))))))))))))))))))))))))((('''&&&&&&&&&&&&'''(((''''''''''''''''''''''''''''''&&&&&&''''''((()))''''''&&&%%%%%%&&&'''''''''''''''''''''((()))******)))((('''''''''''''''(((((()))******+++,,,,,,+++++++++***)))((((((((((((((())))))))))))((((((***)))))))))(((((((((''')))))))))))))))))))))))))))))))))******,,,------))))))))))))))))))))))))************)))))))))(((++++++,,,,,,,,,,,,++++++***++++++,,,++++++******...........................///000///......///111000444777999===GGGVVVaaalllqqqvvvyyy{{{{{{uuutttyyy~~~|||yyyvvvuuuyyy|||zzzwwwsssqqqiiifffbbb^^^ZZZVVVRRROOOIIIHHHFFFCCC@@@>>>;;;:::888777666555444444444444333222000111222222000///000000////////////000000111111000000////////////000000000///...---------//////............//////------------,,,,,,,,,,,,......---------,,,,,,,,,,,,,,,,,,,,,------------///......------------...//////.........---------000///...---,,,------...------------------------............///////////////////////////000000111////////////000000000000111111111222222222333333333444555666777888888999999:::;;;<<<>>>???@@@AAACCCDDDEEEEEEFFFHHHLLLOOOOOORRRVVVYYY\\\```cccfffnnnttt~~~uuukkkccc___]]]]]]iiinnnzzznnnWWWMMMJJJEEEFFFKKKJJJUUUaaammm{{{}}}lll]]]TTTPPPOOOPPPRRRQQQQQQPPPOOOOOOOOOPPP''''''''''''''''''''''''&&&'''''''''''''''&&&&&&''''''''''''''''''''''''))))))))))))))))))))))))((('''&&&&&&&&&&&&'''(((''''''''''''''''''''''''&&&&&&&&&&&&&&&''''''(((''''''&&&%%%%%%&&&''''''(((((('''''''''(((((()))+++***)))'''&&&&&&&&&&&&'''(((((())))))*********++++++******))))))(((((((((((())))))))))))(((((())))))))))))(((((((((((())))))))))))))))))))))))************+++,,,------))))))))))))))))))))))))************))))))))))))++++++*********++++++,,,++++++,,,------,,,,,,+++...........................///000///...///000222///222666<<>>>>>???BBBCCCDDDDDDDDDFFFIIIKKKKKKNNNRRRUUUWWW[[[^^^aaaeeejjjqqqyyy}}}qqqeee\\\XXXVVVZZZ```nnn~~~}}}eeeVVVNNNGGGFFFJJJDDDJJJRRR[[[hhhxxxyyyjjj]]]TTTPPPOOOPPPPPPOOOOOONNNOOOOOOOOO''''''''''''''''''''''''&&&&&&''''''''''''''''''''''''''''''''''''''''''(((((((((((((((((((((((('''''''''&&&&&&'''''''''''''''''''''''''''''''''&&&%%%%%%%%%%%%&&&''''''''''''&&&&&&&&&&&&'''''''''&&&&&&%%%%%%%%%&&&&&&***)))((('''''''''''''''&&&&&&&&&''''''((((((((()))((((((((('''''''''&&&(((((())))))))))))(((((())))))))))))(((((((((((()))))))))))))))))))))))))))))))))))))))***++++++))))))))))))))))))))))))*********)))))))))))))))+++***)))))))))***+++,,,,,,,,,------...------------------..................///000000///000222444111444999DDDSSSbbbnnnttt{{{||||||{{{yyyyyy|||}}}tttllliiilllqqqvvvzzzzzzwwwsssooonnnqqqxxx}}}~~~{{{wwwsssoookkkgggddd^^^ZZZTTTOOOKKKIIIGGGEEE@@@???>>><<<:::888777666555444333222222222222222222000///000111222111////////////....../////////000000000000000000000000/////////......---------......---------...////////////.........---------,,,,,,,,,,,,,,,,,,,,,,,,---------.........//////,,,,,,,,,,,,---...//////........................//////......------------------------------------............///////////////............///000000000000//////////////////111111111111222222222222222222333444555666777777999999999:::;;;<<<<<<===@@@AAABBBBBBBBBCCCEEEGGGHHHKKKNNNQQQSSSVVVZZZ\\\```dddjjjpppuuu~~~{{{nnnbbb[[[YYYYYY\\\fffuuutttnnnooouuu{{{qqq```UUULLLIIIKKKGGGHHHKKKOOOYYYhhhwwwwwwggg\\\UUUQQQOOOOOONNNNNNNNNNNNNNNOOO''''''''''''''''''''''''&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''&&&''''''''''''''''''&&&''''''''''''''''''''''''&&&%%%%%%%%%%%%&&&'''''''''''''''''''''''''''''''''&&&&&&%%%%%%%%%&&&&&&'''''''''''''''((()))***''''''((((((((((((((()))((((((((((((''''''''''''(((((())))))))))))(((((((((((((((((()))))))))))))))))))))))))))))))))))))))))))))((())))))******))))))))))))))))))))))))))))))))))))))))))******+++***)))((()))***,,,---+++,,,---...............---------.........//////---///000000000111333555777;;;DDDRRRbbbqqq{{{~~~~~~}}}||||||{{{vvvoooiiikkksss{{{}}}wwwvvvsssqqqqqquuu||||||{{{wwwrrrmmmhhhccc^^^[[[XXXTTTOOOJJJHHHFFFDDDBBB===<<<;;;:::888777666555333222222111111111111111111000//////111222111/////////............//////////////////////////////............---------------------------...////////////.........---------,,,,,,,,,,,,,,,,,,,,,,,,---------.........//////...---------...///000000---....................................---------------------------------............////////////...............//////000,,,,,,------...///000000000000111111111222222222111111222333444555666666777888888999::::::;;;;;;>>>@@@AAAAAA@@@@@@BBBDDDFFFHHHLLLNNNPPPSSSVVVXXX]]]```eeeiiinnnuuu~~~xxxkkkaaa\\\[[[ZZZ^^^iiiuuutttiiieeegggjjj{{{mmm___TTTLLLJJJIIIGGGFFFHHHOOO\\\lllyyytttggg\\\TTTOOOOOONNNMMMMMMMMMNNNNNN''''''''''''''''''''''''&&&'''''''''''''''&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&'''(((((('''&&&&&&''''''''''''''''''''''''&&&&&&&&&&&&&&&''''''(((&&&'''(((((((((((('''&&&(((((('''''''''(((((()))&&&&&&&&&&&&''')))***+++************************************))))))))))))(((((())))))))))))(((((((((((((((((())))))))))))))))))))))))))))))))))))+++***************++++++))))))))))))))))))))))))))))))))))))***************************+++,,,---++++++,,,---............,,,,,,------.../////////---///000111111222555777999@@@MMM^^^ooo||||||xxxvvvrrrnnnnnnsss~~~|||zzzxxxvvvwww{{{uuuuuuuuutttuuuxxx~~~~~~zzzwwwtttpppkkkeee```[[[VVVRRRQQQNNNIIIFFFDDDCCC@@@???999999888888777666555555111111000000///000000111000///...///111111111000///......------......///------............//////------------------------,,,,,,,,,,,,---...//////.........------------,,,++++++++++++,,,,,,,,,,,,,,,------------.........//////.........///000000---------.....................//////......---,,,------------------------............////////////......------......///000***+++,,,---...//////000000000000111111111111222000000111222333444555555555666666777999:::;;;;;;<<<>>>???@@@??????AAACCCDDDFFFIIILLLMMMOOORRRUUUWWW[[[___bbbfffkkksssxxxuuuggg^^^\\\YYYXXX^^^gggsssxxxjjj```]]]^^^nnnzzzppp```SSSKKKHHHDDDBBBDDDIIISSScccqqqtttfffYYYQQQPPPOOONNNMMMMMMMMMMMM''''''''''''''''''''''''(((((((((((('''&&&%%%%%%''''''''''''''''''''''''''''''''''''''''''''''''&&&&&&'''(((((('''&&&&&&''''''''''''''''''''''''''''''&&&&&&''''''((()))&&&'''((())))))((('''&&&'''''''''''''''((()))***'''''''''''''''((()))***))))))))))))))))))))))))))))))))))))************(((((())))))))))))(((((('''((((((((()))))))))***))))))))))))))))))))))))******)))))))))))))))***))))))))))))))))))))))))((()))))))))************)))***+++,,,------------******,,,------.........,,,,,,------...//////000---...000111111333666888===HHHZZZmmm~~~}}}xxxvvvsssssswwwyyytttrrrtttuuuvvv{{{}}}|||~~~~~~|||yyyuuurrrjjjgggbbb]]]YYYTTTOOOLLLHHHFFFCCCAAA@@@???<<<:::666666666555555444444444000///////////////000000000///...///111111111000///......------......///,,,,,,,,,---------......------------------------,,,,,,,,,,,,---...///000------------,,,,,,,,,,,,******+++++++++,,,,,,,,,,,,,,,,,,,,,------------//////...---------......---------.........//////---.../////////...---,,,------------------------............////////////...------------...//////,,,---------......//////000000000000111111111111//////000111222333444444333444555666888999:::;;;:::<<<>>>?????????AAABBBBBBDDDGGGIIIJJJLLLOOOQQQRRRVVV[[[]]]___ccciiinnnwwwsssgggaaa]]]ZZZ\\\```gggsss}}}mmm___YYYYYYcccmmmrrr```TTTKKKGGGDDDEEEFFFKKKYYYgggzzzqqqaaaSSSRRRPPPOOOMMMMMMLLLLLL''''''''''''''''''''''''(((((((((((('''&&&%%%$$$''''''''''''''''''''''''((((((((((((((((((((((((%%%&&&'''(((((('''&&&%%%''''''''''''''''''''''''(((''''''''''''((())))))&&&'''((())))))((('''&&&$$$$$$$$$%%%&&&'''((())))))(((((('''''''''((((((&&&&&&&&&&&&&&&&&&&&&%%%''''''''''''(((((((((((((((((())))))))))))(((((('''((((((((())))))******))))))))))))))))))))))))((('''&&&&&&&&&&&&''''''))))))))))))))))))))))))(((((())))))*********+++)))***,,,---......------)))***+++,,,------------,,,,,,------...///000000---...000111222333666999FFFTTTjjj}}}{{{xxxvvvxxxzzzxxxooolllmmmtttyyy}}}}}}{{{yyyvvvrrrnnnccc```[[[XXXTTTQQQLLLIIIBBB@@@???>>>>>><<<999666444444444333333333333222//////.........//////000///......///000111111000.........------.........+++++++++,,,,,,---------------------------------+++++++++,,,---...///000------,,,,,,,,,+++++++++*********++++++,,,,,,,,,+++++++++,,,,,,,,,------///...------,,,,,,,,,,,,---------.........//////---.../////////...,,,,,,------------------------............/////////000...------------.../////////////////////.........000000000000111111111111//////000111222333444444222222444666888999;;;;;;999;;;>>>??????@@@AAABBB@@@BBBEEEGGGHHHJJJLLLOOOOOOTTTYYY\\\]]]```dddhhhllluuuqqqhhhccc```______aaahhhqqqppp```YYYZZZZZZddduuummm___QQQLLLIIIHHHFFFFFFQQQ^^^lll~~~yyyiiiTTTSSSQQQOOONNNLLLLLLKKK***)))(((''''''&&&&&&&&&''''''(((((('''&&&%%%%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&(((((('''''''''&&&&&&&&&(((((('''''''''&&&&&&&&&###$$$$$$%%%&&&'''((((((++++++***)))((('''&&&&&&''''''((((((((('''%%%$$$''''''((()))))))))))))))''''''''''''((()))+++,,,))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))************''''''''''''''''''''''''+++*********))))))(((((())))))***++++++++++++***+++*********))))))(((((())))))))))))************...------------.../////////......---------......---000222333333777>>>DDDPPPcccyyy|||uuusssuuu{{{xxxpppooommmnnnsssyyy}}}yyyuuurrrmmmhhheee___YYYRRROOONNNLLLFFFAAA???>>><<<:::888666555444333333222222111000//////000000000000000000000000////////////////////////........................000000000///......------111...,,,,,,......+++))),,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,,,,------------.........---,,,,,,------------------------......---,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,........................///......---+++******)))...------------...//////////////////////////////////////////000000000000000000000000000111111222333333444444555666666666999::::::;;;<<<===>>>>>>@@@AAABBBDDDFFFHHHJJJKKKOOOOOOPPPRRRUUUYYY\\\___hhhlllqqqwww}}}nnnkkkiiihhhdddaaaeeelllyyyrrrcccYYY[[[bbbooo}}}tttcccTTTKKKLLLLLLGGGJJJRRR___qqq~~~tttddd[[[QQQKKKJJJLLLKKKJJJ''''''''''''((()))***+++''''''(((((('''&&&&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&(((((('''''''''&&&&&&&&&(((((('''''''''&&&&&&&&&''''''''''''&&&&&&&&&%%%******))))))((('''''''''''''''((((((((('''&&&%%%''''''((())))))))))))))))))((('''''''''((()))***))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))************))))))))))))))))))))))))************)))))))))((())))))***++++++++++++***+++*********))))))))))))************++++++++++++...------------.../////////......------.........000111222333555;;;EEELLL```rrrxxxsssyyy}}}wwwqqqqqqoooqqqvvv~~~}}}|||yyytttppplllgggbbb^^^VVVQQQKKKHHHGGGEEE@@@;;;===<<<:::888666555444444333333222111111000//////////////////////////////////////////////////////....................................////////////111///------......,,,***........................,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,,,,------+++,,,,,,---------,,,,,,---------------------------------,,,------......------------------------------------------------......---------------,,,...------------...//////........................////////////000000000000000000//////000000111222333333333444555555666666999999:::;;;<<<======>>>???@@@BBBDDDFFFHHHIIIJJJMMMMMMNNNPPPRRRVVVZZZ\\\bbbeeejjjpppwww{{{vvvrrrqqqmmmhhhgggkkkuuu{{{kkkaaa[[[aaannn}}}uuucccSSSNNNKKKFFFGGGMMMTTTdddvvv|||kkkbbbUUUMMMKKKLLLMMMLLL&&&&&&&&&''''''((()))***'''''''''(((''''''&&&%%%&&&&&&&&&&&&&&&&&&&&&&&&&&&&&&''''''''''''&&&&&&'''''''''''''''&&&&&&&&&'''''''''''''''&&&&&&&&&((((((((('''''''''&&&&&&((((((((((((((((((((((((''''''((((((((('''&&&&&&''''''((()))))))))))))))))))))((('''''''''''''''(((((((((((((((((((((((())))))))))))))))))))))))))))))))))))************************************************))))))))))))))))))***++++++++++++******************)))))))))+++++++++,,,,,,,,,,,,---...------------.../////////......---......//////222333333444888BBBOOOYYYppp{{{uuuttt|||uuuqqqqqqqqqrrrxxx|||yyyvvvsssnnnhhhddd^^^YYYUUUQQQMMMGGGEEECCCAAA===:::888777666555444333333333222222222111111000000///////////////////////////////////////////////////........................,,,------...//////000000111///......//////---,,,........................,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,,,,------******+++,,,---------,,,------------------------------------...///000000........................,,,,,,,,,,,,,,,,,,,,,,,,---------....../////////...------------...//////------------------------////////////000000000000000000//////000000111222222333333444444555555666888888999:::;;;<<<<<<===>>>???AAABBBDDDFFFHHHHHHKKKKKKKKKMMMPPPSSSVVVXXX[[[]]]bbbgggmmmttt|||~~~|||zzztttppppppvvvyyynnndddhhhqqqvvv^^^SSSMMMGGGGGGKKKJJJUUUdddsssxxxnnn___SSSNNNMMMMMMMMM(((((('''&&&%%%%%%%%%%%%&&&'''''''''''''''&&&&&&''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&''''''''''''''''''''''''''''''''''''''''''''''''%%%&&&&&&'''((()))******'''''''''((((((((())))))'''(((((((((((('''''''''''''''((()))))))))))))))((((((''''''''''''''''''((((((((((((((((((((((((((((((((((((((((((((((((((()))))))))************))))))))))))))))))))))))*********)))))))))))))))))))))***++++++++++++***************************++++++++++++,,,,,,,,,,,,...------------...//////...............//////000333333444666<<>>;;;888444444333222222222222222222111111111000000000///////////////////////////////////////////////////........................---------....../////////000000////////////...---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++,,,,,,,,,------((()))***+++,,,------------------------------------------------...//////------------------------,,,,,,,,,,,,,,,,,,,,,,,,------------...............------------...//////------------------------////////////000000000000///////////////000111111222222222333444444555555666777777888999:::;;;<<<===>>>???AAACCCDDDFFFFFFIIIIIIJJJKKKNNNPPPSSSTTTUUUWWW[[[```dddjjjqqqvvv~~~~~~|||yyyxxx{{{lllZZZQQQLLLJJJKKKHHHMMMXXXgggwww|||kkk]]]SSSOOOMMMLLL***)))((('''&&&&&&&&&&&&&&&&&&'''''''''''''''&&&''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&&&&'''''''''''''''''''''&&&'''''''''''''''''''''%%%&&&&&&'''((()))******&&&&&&''''''(((((())))))((((((((('''((((((((((((''''''((()))))))))))))))%%%&&&'''(((((()))))))))((((((((((((((((((((((((((((((((((((((((((((((((((()))))))))************************************))))))))))))))))))******))))))***++++++++++++******************+++++++++*********++++++++++++,,,...------------...//////...............///000111222333666:::BBBPPPaaammmyyy}}}uuuwww|||~~~~~~}}}vvvtttvvvtttvvv|||{{{vvvrrrkkkgggaaa[[[VVVQQQLLLIIIAAA???<<<:::888777555444222111111111111111222222111111111000000000000000........................////////////////////////........................///.........---------,,,//////000///............,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++,,,,,,,,,------((()))***+++,,,---------------------------------...------,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------------------------------,,,,,,,,,,,,+++...------------...//////------------------------////////////000000000000/////////...///000000111111111222222333444444444555555666777888999::::::<<<===>>>???AAABBBDDDDDDGGGHHHIIIJJJLLLNNNPPPQQQQQQTTTXXX[[[___dddjjjmmmuuu{{{~~~hhhZZZQQQLLLJJJHHHHHHOOO]]]ooo~~~xxxiii\\\RRRLLLIII)))(((((())))))***+++,,,%%%&&&''''''((('''''''''''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&&&&&&&&&&'''''''''''''''&&&&&&&&&'''''''''''''''((((((((('''''''''&&&&&&&&&&&&&&&''''''((((((((((((((('''''''''((()))***''''''((()))))))))))))))%%%&&&''')))******++++++(((((((((((((((((((((((())))))))))))))))))))))))))))))))))))************++++++++++++++++++++++++))))))))))))************))))))***++++++++++++************+++++++++++++++************++++++++++++...------------...//////............///000111111000555;;;BBBKKKXXXfffppp{{{zzzuuuyyy|||{{{zzz{{{xxxzzz~~~{{{uuuoookkkccc___YYYSSSOOOKKKGGGEEE===<<<:::888777666555555222111111000000111222222000000000000000000000000........................////////////////////////........................//////......---,,,,,,+++---/////////------...///........................,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,,,,------******+++,,,---------,,,------------------------......---,,,+++******+++,,,,,,,,,,,,,,,,,,,,,,,,........................---------,,,,,,+++++++++...------------...//////------------------------////////////000000000000//////......//////000111000111111222222333333444444444555666777888888999;;;;;;<<<>>>???AAABBBBBBEEEFFFGGGHHHJJJKKKLLLMMMNNNQQQUUUXXX\\\```dddhhhmmmsss{{{|||{{{~~~zzzfffWWWMMMHHHGGGEEEIIIVVVfffuuuuuufffXXXNNNHHH(((((((((((()))***++++++%%%&&&&&&'''((((((''''''''''''''''''''''''''''''&&&&&&''''''''''''&&&&&&&&&&&&&&&'''''''''((((((&&&&&&&&&'''''''''((((((''''''''''''&&&&&&&&&%%%&&&'''''''''''''''''''''(((((('''''''''(((***+++''''''((()))))))))))))))'''((()))+++++++++******))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))************++++++++++++++++++++++++((()))))))))************))))))***++++++++++++************++++++,,,,,,,,,++++++++++++,,,,,,,,,---...------------...//////............///000111222000777AAAKKKTTT___jjjqqqxxx~~~wwwuuu{{{~~~{{{|||www{{{|||yyytttnnngggbbbYYYUUUPPPKKKGGGEEEBBB@@@;;;;;;:::888666555666666333222222111111111222222///000000000000000000000........................////////////////////////........................------------------------,,,...///...,,,,,,---///........................,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,,,,------+++,,,,,,---------,,,,,,------------------------...------,,,,,,,,,------------------------------------------------------,,,,,,,,,---------------...------------...//////........................////////////000000000000///............///000000000000111111222333333333333333444555666777888888:::;;;;;;===>>>???@@@AAABBBCCCDDDFFFGGGHHHHHHIIIKKKNNNRRRUUUXXX\\\```cccggglllrrrxxx~~~zzzwwwxxx{{{}}}tttaaaSSSKKKIIIFFFHHHPPP[[[gggwwwppp```RRRIII((((((&&&%%%%%%%%%%%%%%%%%%%%%&&&'''((((((((('''((((((((((((((((((((((((&&&''''''''''''''''''&&&&&&&&&&&&'''''''''((((((&&&&&&&&&'''''''''((((((###$$$$$$%%%&&&'''(((((('''''''''''''''''''''''')))(((''''''''')))***+++'''(((((()))))))))))))))******+++,,,,,,***)))(((************************))))))))))))))))))))))))))))))))))))************(((((((((((((((((((((((((((((())))))*********+++))))))***++++++++++++************++++++,,,,,,,,,,,,,,,,,,---------.........------------...//////............///000222222000999EEEQQQ[[[ccclllqqqsssyyyxxxsssuuu|||}}}zzzzzzuuuyyy~~~|||yyyuuuooohhh```[[[SSSOOOIIIEEEBBB@@@>>>===555555555333222111111222444333333222222222222222////////////000000000000........................////////////////////////........................+++,,,,,,------......///+++---///...,,,+++---///,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,---------------.........---,,,,,,---------------------------------------...///000........................,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,---...///000111...------------...//////////////////////////////////////////000000000000...............///000000000000000111222222333333222333333444555666777777::::::;;;<<<===>>>???@@@@@@AAABBBDDDEEEFFFFFFFFFHHHKKKOOOSSSVVVYYY]]]```cccggglllqqqwww~~~vvvtttuuuvvv~~~iiiZZZRRRNNNIIIIIIMMMRRR[[[kkk{{{wwweeeUUUKKK******))))))((((((''''''((((((((((((((((((((((((''''''&&&&&&&&&&&&'''''''''''''''''''''((()))))))))((('''&&&&&&'''((()))***)))'''&&&%%%%%%&&&&&&''''''''''''''''''''''''))))))))))))))))))))))))))))))))))))))))))))))))'''''''''''''''((())))))((((((''''''''''''((((((++++++***)))(((((())))))))))))))))))))))))))))))******+++++++++******)))************************)))************+++++++++++++++******************)))******++++++,,,,,,---......,,,,,,,,,,,,......---------.........//////000---...111111......111888AAALLLVVVbbbmmmqqqqqqsss{{{}}}sssmmmnnnsssyyy}}}zzzwwwyyyzzz}}}wwwuuuppplllfff```YYYTTTMMMIIICCC???>>>===<<<;;;666555333222111111222333000000000000000000000000111111111111111111111111////////////////////////......------------......------------------------......---,,,++++++******,,,++++++******++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,------,,,,,,,,,,,,++++++,,,,,,,,,+++++++++******,,,,,,------------............---,,,***)))+++---------------------------***+++------------+++***//////.........---------,,,---......//////....../////////...------,,,,,,//////.........---------000000//////.........---///////////////000111111000000000000000000000000333333444444555666777777666777888999:::;;;;;;;;;??????@@@@@@BBBDDDEEEFFFHHHKKKNNNQQQSSSUUUYYY[[[___aaadddggglllsss|||qqqkkklllyyyzzzeeeWWWPPPPPPQQQOOOLLLOOO___ppp}}}|||nnn\\\OOO***)))))))))((((((((('''((((((((((((((((((((((((&&&&&&&&&%%%%%%&&&&&&&&&'''''''''''''''((()))))))))((('''&&&&&&'''((()))+++***((('''&&&&&&''''''''''''''''''''''''''''''))))))))))))))))))))))))))))))))))))))))))))))))'''''''''''''''((())))))((((((''''''''''''((((((***))))))(((''''''(((((())))))))))))))))))))))))))))))***************)))************************)))************+++++++++******************************++++++,,,---------...---,,,++++++,,,---...---------.........//////000...///222222111222666>>>IIIWWWaaaiiiqqqtttsssuuuzzz}}}}}}~~~rrrooommmlllpppuuu{{{~~~zzzvvvwwwxxxzzz}}}zzzrrroooiiiddd___YYYSSSOOOIIIEEE@@@<<<;;;:::999888666555333222111111222222000000000000000000000000........................////////////////////////......------------......------------------------......------,,,,,,++++++,,,,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------,,,,,,,,,,,,++++++,,,,,,,,,+++++++++************++++++++++++,,,,,,---------,,,******,,,...------------------------,,,------......------,,,///.........------------,,,------...............---------...............///.........------------000/////////.........---///////////////000000111000000000000000000000000222222333444444555666666555666777999:::::::::;;;>>>??????@@@AAACCCDDDEEEFFFIIILLLNNNPPPRRRUUUXXXZZZ\\\___bbbgggnnnvvv{{{zzzoookkkmmmvvvxxxsssttt~~~ooo```UUUTTTSSSQQQMMMMMMWWWcccuuuvvveeeXXX))))))))))))((((((((((((((((((((((((((((((((((((&&&%%%%%%%%%%%%%%%%%%&&&'''''''''''''''((())))))((((((''''''''''''((((((+++***)))(((((('''((((((''''''''''''''''''''''''))))))))))))))))))))))))))))))))))))))))))))))))'''''''''''''''((()))))))))((((((''''''(((((())))))(((((('''''''''''''''))))))))))))))))))))))))''''''((()))************************************)))************+++++++++************************+++++++++,,,------......---,,,,,,++++++,,,,,,---------........./////////111///000333333333888>>>GGGUUUeeemmmrrrwwwyyyxxxzzzzzzyyyxxxyyyzzzvvvpppbbbfffkkkrrrwww{{{~~~}}}}}}{{{{{{~~~}}}~~~~~~yyyxxxxxxyyy{{{vvvrrrjjjfff___YYYTTTOOOKKKHHHCCC@@@;;;888777777666555555444333222111111111222000000000000000000000000000000000000000000000000////////////////////////......------------......------------------------......------------------------,,,,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,------,,,,,,,,,,,,++++++,,,,,,,,,+++++++++************++++++++++++,,,,,,+++,,,---,,,++++++---...------------------------......------------..................------------,,,,,,---...............+++,,,,,,---......//////............------------/////////...................../////////000000000000000000000000000000000111111222222333444444444444555666888999999::::::======>>>???@@@BBBCCCDDDDDDFFFIIIKKKLLLNNNPPPSSSTTTVVVYYY\\\```fffmmmrrr}}}vvvnnnffflllyyy{{{iiidddbbbjjjwwwooo___[[[WWWUUUQQQMMMOOOTTTgggtttrrrddd))))))))))))(((((((((((((((((((((((((((((((((((('''&&&&&&%%%%%%&&&&&&''''''''''''''''''((())))))(((((((((''''''(((((((((***))))))(((((('''''''''''''''''''''''''''''''''(((((((((((((((((((((((((((((((((((((((((((((((('''''''''''''''((())))))))))))(((((((((((()))))))))(((((('''''''''(((((())))))))))))))))))))))))&&&&&&'''))))))*********************************))))))*********+++++++++***************+++++++++++++++,,,------......///,,,,,,,,,++++++,,,,,,,,,............////////////111///000333444666>>>FFFRRRaaapppvvvxxx|||~~~{{{xxxvvvrrriiiaaa___gggsss}}}~~~{{{zzzxxxvvvwwwzzz}}}||||||{{{uuuooojjjccc^^^VVVPPPKKKGGGDDDBBB???<<<888666555555444222444444333222222111111111000000000000000000000000111111111111111111111111////////////////////////......------------......------------------------------.....................------,,,,,,------...,,,,,,,,,,,,,,,,,,,,,,,,------,,,,,,,,,+++++++++,,,,,,,,,+++++++++******,,,,,,,,,---------......***+++,,,,,,++++++---///------------------------...---,,,++++++,,,---...------------------------,,,,,,---.........------,,,,,,,,,------.........------------------------.................................///////////////000000000000000000000000000111111111222222222333333444555666777888888888<<<<<<<<<===>>>@@@BBBBBBCCCEEEGGGHHHIIIJJJMMMOOOQQQRRRUUUXXX[[[```gggkkkttt{{{wwwmmmlllqqq}}}jjjccc]]]```hhhuuunnneee\\\XXXTTTOOOMMMNNNXXXfffxxx~~~rrr(((((((((((())))))))))))((((((((((((((((((((((((((((((''''''''''''(((((('''''''''''''''((())))))'''(((((((((((((((((('''''''''''''''''''''&&&&&&''''''''''''''''''''''''(((((((((((((((((((((((((((((((((((((((((((((((('''''''''''''''((())))))))))))(((((((((((()))))))))))))))(((((()))******))))))))))))))))))))))))&&&&&&'''))))))*********************************))))))*********+++++++++))))))*********+++++++++++++++,,,------......///,,,,,,,,,,,,,,,,,,,,,,,,........./////////000000111000111555777<<>>@@@AAABBBDDDFFFGGGGGGHHHKKKMMMOOOQQQSSSVVVXXX]]]bbbfffmmmsss{{{yyyppplllrrr~~~nnneee\\\ZZZ^^^hhhxxxqqqbbb[[[VVVQQQOOOOOOPPP^^^ppp(((((((((((())))))))))))(((((((((((((((((((((((())))))(((((((((((())))))'''''''''''''''((())))))''''''((((((((((((''''''&&&&&&''''''''''''&&&&&&''''''''''''''''''''''''))))))))))))))))))))))))))))))))))))))))))))))))'''''''''''''''((())))))***))))))(((((())))))******))))))))))))******+++))))))))))))))))))))))))''''''((()))************************************)))************+++++++++)))))))))***++++++,,,,,,+++++++++,,,------......,,,------......------,,,....../////////000000000111111444999???IIIZZZiii{{{wwwkkkcccaaagggrrr}}}}}}|||~~~~~~yyyxxxyyyyyysssmmmfff___ZZZSSSOOOHHHCCC@@@>>>===;;;999777555444555555444222333333333333222111000///000000000000000000000000////////////////////////////////////////////////......------------......------------------------......------------------------,,,,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,------,,,,,,,,,,,,++++++,,,,,,,,,+++++++++************++++++++++++,,,,,,***+++------,,,+++,,,---------------------------++++++************++++++,,,,,,,,,,,,------------++++++,,,---------------......------,,,++++++***,,,,,,,,,,,,---------------------------.........,,,---...///000///......////////////////////////111111111111111111111111000111222444555555666666888888999:::;;;===>>>???@@@BBBDDDEEEFFFGGGIIIKKKNNNPPPRRRTTTVVVYYY^^^aaaggglllssszzzxxxllljjjqqq|||ooofff[[[VVVXXX```qqqpppccc[[[TTTQQQQQQOOOZZZiiiyyy'''((((((((()))))))))***((((((((((((((((((((((((((((((''''''''''''(((((('''''''''''''''((())))))&&&'''((())))))((('''&&&&&&'''((())))))((('''&&&''''''''''''''''''''''''))))))))))))))))))))))))))))))))))))))))))))))))'''''''''''''''((())))))******))))))))))))******((((((((((((((()))******))))))))))))))))))))))))))))))***************)))************************)))************+++++++++((())))))***++++++,,,,,,******++++++,,,------------......//////......---.../////////000000000000111222888@@@JJJYYYooouuukkkkkkpppttt}}}|||~~~zzzrrrjjjbbb\\\UUUQQQJJJFFFAAA>>><<<:::888777777555444444444555333222222222333333222111//////000000000000000000000000111111111111111111111111////////////////////////......------------......------------------------......------,,,,,,++++++,,,,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------,,,,,,,,,,,,++++++,,,,,,,,,+++++++++************++++++++++++,,,,,,***,,,......,,,+++++++++------------------------***++++++,,,,,,++++++***++++++,,,,,,,,,---------++++++,,,------------,,,---,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,---------,,,,,,,,,------.........+++,,,...000000///...---////////////////////////111111111111111111111111///000111333444444555555777777888888:::<<<===>>>===???BBBCCCDDDFFFHHHJJJKKKMMMOOOQQQRRRUUUYYY[[[```eeelllsssyyyuuulllkkkqqq~~~wwwlllaaaZZZXXX___ooo}}}tttfffZZZTTTSSSNNNVVVaaaooo'''((((((((())))))******((((((((((((((((((((((((''''''&&&&&&&&&&&&'''''''''''''''''''''((())))))&&&'''((())))))((('''&&&'''((()))******)))((((((''''''''''''''''''''''''))))))))))))))))))))))))))))))))))))))))))))))))'''''''''''''''((())))))******))))))))))))******'''''''''''''''((()))***))))))))))))))))))))))))***++++++++++++******)))************************)))************+++++++++((())))))***++++++,,,,,,)))******++++++,,,---------...///000000///...---////////////000000000000111333;;;FFFSSSeee~~~ssskkkqqq}}}|||zzz|||}}}|||vvvlllccc[[[UUUOOOKKKCCC@@@===:::999777555444555444333333444444333111222222333333222111///...000000000000000000000000........................////////////////////////.........------.........------------------------......---,,,++++++******,,,++++++******++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,---------,,,,,,,,,++++++,,,,,,,,,+++++++++******,,,,,,---------.........+++---///...,,,+++******------------------------++++++---......---+++++++++++++++,,,,,,---------++++++,,,---------,,,,,,***++++++,,,,,,------...+++++++++,,,,,,---------,,,,,,,,,------.........+++,,,...000000///...---////////////////////////222222222111111111111111///000111222333444444444666777777888999;;;<<<===;;;===@@@BBBCCCDDDGGGIIIHHHJJJMMMNNNOOORRRUUUWWW\\\aaahhhnnnssszzzssskkkllluuuwwwjjjaaa]]]aaaooo}}}qqqaaaXXXUUUMMMRRRYYYfffxxx((()))***)))((('''((()))''''''''''''(((((((((((('''''''''''''''((()))***''''''''''''''''''''''''((((((((((((((('''''''''''''''((((((((((((''''''(((((((((((((((((((((((())))))))))))((((((((((((''''''''''''(((((((((((())))))))))))))))))))))))************************))))))))))))))))))))))))))))))))))))))))))))))))---,,,***)))))))))******++++++++++++++++++++++++...---+++*********++++++************************)))******++++++,,,---------,,,,,,+++++++++,,,,,,///...///000333444444444444777>>>KKK^^^vvvxxxrrrsss|||~~~yyy}}}{{{}}}uuuooofff]]]UUUNNNHHHDDD???>>>;;;888666666777777444444444333333333222222333333222222111111000000111111111111111111111111000/////////......................../////////000////////////////////////000/////////..............................------//////.........---------+++++++++,,,,,,---------.........------,,,,,,,,,,,,+++***)))***+++---...,,,,,,++++++,,,,,,---...---,,,,,,++++++,,,,,,---......---------,,,,,,,,,........................++++++++++++++++++++++++++++++,,,,,,,,,,,,------,,,,,,,,,---------......,,,,,,,,,---------..............................---------...........................////////////333333222111000000000111222222111111222444666777777777666666777999;;;<<<===>>>???@@@BBBCCCDDDDDDIIIJJJKKKNNNPPPSSSTTTUUU[[[^^^bbbgggmmmttt|||}}}qqqlllooossszzzwwwmmmgggfffooo{{{mmm___YYYUUUPPPQQQ[[[iiiyyy'''))))))((('''&&&'''(((******)))((('''&&&%%%%%%(((''''''''''''(((((()))''''''''''''''''''''''''((((((((((((((((((((('''''''''((((((((((((''''''((((((((((((((((((((((((''''''(((((())))))******((((((((())))))))))))***))))))))))))))))))))))))************************)))))))))))))))))))))))))))))))))))))))))))))))),,,,,,***)))))))))******++++++++++++++++++++++++---,,,+++*********++++++************************+++++++++,,,------......///......---------....../////////000222333444444777;;;DDDRRReeezzzwwwvvv|||zzz|||}}}|||~~~zzzoooiii```VVVOOOIIIDDDAAA>>><<<999777555555666666444333333333222222222222222222111111111111111111111111111111111111111111000000000/////////.............../////////000000////////////////////////000000/////////.............................................------------,,,,,,---------............---------,,,,,,,,,,,,---,,,,,,++++++,,,,,,,,,,,,,,,++++++,,,,,,---...---,,,,,,++++++,,,,,,---------------,,,,,,,,,,,,------------------------++++++++++++++++++++++++++++++,,,,,,,,,,,,------,,,,,,,,,---------......,,,,,,,,,---------......------------------------------------........................////////////222111111000000000000111333222222111111222333444666666555666777888:::;;;======>>>???AAABBBCCCDDDFFFGGGIIIKKKNNNPPPRRRSSSWWWZZZ^^^ccchhhooovvv{{{zzzqqqnnnmmmnnnvvv|||uuuqqquuu}}}xxxfff^^^XXXRRROOOUUUaaappp'''((()))(((&&&%%%&&&'''******)))((('''&&&%%%%%%)))((((((''''''''''''(((''''''''''''''''''''''''''''''((((((((((((((((((''''''((((((((((((''''''((((((((((((((((((((((((&&&&&&'''((()))***++++++))))))))))))************))))))))))))))))))))))))************************)))))))))))))))))))))))))))))))))))))))))))))))),,,+++******)))*********++++++++++++++++++++++++---,,,+++*********++++++++++++++++++++++++++++++,,,,,,,,,---......//////000000////////////000000//////000000111222333444:::AAAMMM\\\mmm~~~{{{uuuyyyzzzyyy~~~~~~~~~zzzuuufff___VVVMMMGGGBBB???===;;;999777555444444444444333333333222222222111111000000000111111111111111111111111111111111111111111111000000000/////////////////////000000000000////////////////////////000000000000////////////............////////////.........---------,,,,,,.............../////////------,,,,,,,,,,,,++++++,,,,,,---------,,,++++++,,,,,,++++++,,,,,,---...---,,,,,,++++++,,,,,,---,,,,,,,,,,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++++++++,,,,,,,,,,,,------,,,,,,,,,---------......,,,,,,,,,---------......,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------........................////////////000////////////000000111333333222111000000111111444444444555666777888999;;;<<<===>>>???AAABBBBBBCCCDDDEEEHHHJJJLLLNNNOOOSSSVVVYYY]]]bbbgggnnnrrrwww~~~rrrjjjfffnnnwww}}}qqqddd\\\VVVPPPQQQXXXfff}}}((()))))))))'''&&&'''(((''''''''''''((((((((((((***)))((('''''''''''''''''''''''''''''''''''''''''''''''''''((((((((((((''''''((((((((((((''''''(((((((((((((((((((((((('''''''''((()))*********(((((()))))))))*********))))))))))))))))))))))))************************))))))))))))))))))))))))))))))))))))))))))))))))++++++******************++++++++++++++++++++++++,,,+++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,---......//////000000/////////000111111///000000000111222444666<<>>>>>@@@@@@BBBCCCEEEGGGIIIIIINNNQQQUUUXXX[[[___cccfffkkkrrr|||~~~rrrjjjiiirrr~~~rrr```ZZZTTTPPPPPPXXXkkk|||***+++,,,+++)))((()))*********)))((('''&&&%%%%%%)))((((((''''''''''''(((((((((((((((((((((((((((&&&&&&''''''((()))))))))''''''((((((((((((''''''((((((((((((((((((((((((***)))))))))((((((((('''''''''''''''(((((((((((((((((((((((((((((((((((())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))***++++++++++++***++++++++++++++++++++++++******+++,,,,,,,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,+++++++++,,,------.........------......///000111///111333222222444999===DDDNNN]]]hhhpppwwwwwwqqqvvv}}}}}}tttjjj___XXXKKKGGG@@@;;;999999999999555555555555555555555555444444444333333333222222222222222333333333333333333333333333333333333333444333333333333222222222000111111111222222222222111111111111111111111111222222222222111111111000//////000000111111222222000000000/////////...............---------------,,,,,,------------......'''((()))+++,,,---......,,,,,,++++++,,,,,,---...---,,,,,,++++++,,,,,,---,,,,,,,,,,,,++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,------,,,,,,,,,---------......,,,,,,,,,---------......,,,,,,,,,,,,,,,,,,,,,,,,******+++,,,---......///............///////////////............//////000---...///111222222222222000000222333444555555555555666777888:::;;;<<<<<<>>>???@@@BBBDDDFFFGGGGGGKKKNNNRRRUUUXXX[[[___bbbffflllvvv~~~zzzllldddmmm}}}ccc[[[RRRMMMKKKOOO]]]jjj)))***+++***)))((((((*********)))((('''&&&%%%%%%(((''''''''''''(((((()))((((((((((((((((((((((((&&&&&&''''''((())))))***''''''((((((((((((''''''(((((((((((((((((((((((((((((((((((())))))))))))'''(((((((((((()))))))))(((((((((((((((((((((((())))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))((()))***+++,,,++++++***++++++++++++++++++++++++)))***+++,,,,,,,,,,,,+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---......//////...------......000111111///111444444333555<<>>DDDPPPZZZeeelllooottt|||xxxrrruuuwww|||}}}~~~|||ssshhh^^^SSSHHHBBBAAA>>>:::888888888777666666777888888888888888888666666555555555444444444666666666555555444444444555555555555555555555555555555444444444333333333111111222222222333333333222222222222222222222222333333333222222222111111///000000111222222333333222222222222111111111000111111000000/////////............/////////000000222111///...------......,,,,,,++++++,,,,,,---...---,,,,,,++++++,,,,,,---......------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++++++++++++++++++++,,,,,,,,,---------,,,,,,,,,---------......,,,,,,,,,---------..............................)))******+++---...//////............/////////000222111000///////////////111111222333333222000//////000222444555555555444333444555666777999::::::;;;<<<===???@@@BBBCCCCCCBBBEEEJJJNNNQQQTTTWWWYYYZZZ```hhhpppwwwuuutttxxxwwwtttxxx~~~xxxhhh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gggpppqqqooossszzz~~~wwwnnnooouuurrrxxx~~~~~~{{{ttthhh]]]SSSKKKDDDAAA:::::::::999888777777666555555666666666666555555666666666666777777777777777777777777777777777777555555555666666666666777666666666555555444444444444444444444444444444444666666555444444444444555333333333333333333333333000000111111111222222222111111111111111111111111111111111111000000000000000000000000000000000000111111111111000///...---,,,,,,,,,,,,,,,,,,,,,,,,*********+++,,,---...///------------------------,,,,,,,,,++++++*********+++++++++*********)))))),,,,,,,,,++++++*********,,,++++++******++++++,,,,,,,,,,,,---------.........------,,,,,,------...............////////////........................111111000000///////////////000111333333222222111//////000111222222333333111444666777777666666777999:::<<<===???@@@@@@AAADDDGGGJJJLLLNNNQQQTTTVVVYYY[[[```fffnnnxxxxxxtttxxxuuukkkiiikkkxxxmmmYYYOOOJJJGGGHHHLLL***)))))))))((((((((('''(((((((((((((((((((((((())))))))))))))))))))))))***)))(((''''''((()))***(((((((((((())))))))))))))))))))))))))))))))))))'''''''''''''''((()))*********)))))))))((((((((('''((()))++++++***)))((('''''''''((((((((())))))************)))))))))(((+++++++++************))))))************+++++++++))))))(((((((((((())))))++++++++++++++++++++++++---------,,,,,,,,,++++++,,,+++***+++---...---,,,,,,,,,,,,------------...000//////.........//////111222444777999>>>KKKYYYdddnnnvvvvvvuuuxxx|||}}}~~~yyyooofffhhhooouuu{{{||||||rrrjjj___TTTKKKEEE@@@===::::::999888888777666666555666666777777666666555555555555666666666777777777777777777777777777777555555555555666666666666666666555555555444444444444444444444444444444444666666555444444444444444333333333333333333333333222222222222333333333444222222222222222222222222222111111111000000000000000000000000000000000000000111111000000///...---,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,---,,,,,,,,,++++++++++++,,,,,,,,,,,,++++++******,,,,,,,,,+++++++++******,,,,,,++++++++++++,,,,,,,,,,,,,,,---------.........------,,,,,,------...............////////////..............................---------,,,,,,,,,//////111222222222111000//////000111111222333333222444666666666555666777:::;;;<<<===>>>?????????BBBDDDHHHJJJLLLNNNQQQTTTXXXZZZ^^^cccjjjrrr{{{~~~uuurrryyyuuuhhhbbb```iiivvvxxxeeeXXXNNNHHHGGGKKK))))))))))))(((((((((((((((((((((((((((((((((((((((((((((((((((((((((((())))))(((((((((((())))))(((((((((((())))))))))))))))))))))))))))))))))))(((((('''''''''(((((()))************))))))))))))&&&'''(((******)))((((((''''''((((((((()))))))))************))))))))))))+++++++++************))))))************+++++++++++++++************++++++++++++++++++++++++++++++------------,,,,,,,,,,,,---,,,++++++---------+++,,,,,,,,,------------.../////////......//////000444333555:::???HHHXXXgggrrrxxx|||||||||~~~~~~||||||xxxsssmmmddd___dddlll{{{zzzxxxzzz{{{}}}~~~tttfff___TTTKKKDDD???<<<:::999999999888777777666666666777777777777777777666555555666666666777777777777777777777777777777777555555555555666666666666555555555555444444444444555555555555555555555555666555444444333333444444444444444444444444444444333333444444444444555555222222222222222222222222222222222111111111000000000000000000000000000000000000000000///...------------,,,,,,,,,,,,,,,,,,......---,,,,,,,,,,,,,,,++++++++++++++++++++++++------------,,,,,,,,,,,,---------,,,,,,,,,,,,+++,,,,,,,,,,,,++++++++++++,,,,,,++++++++++++,,,,,,,,,,,,,,,---------.........------,,,,,,------...---............/////////........................000000////////////.........//////000111000000000///000000111111222222222333444555555444444666888;;;;;;<<<===============???BBBEEEGGGIIIKKKNNNPPPUUUWWW[[[^^^cccjjjrrrwww{{{qqqnnnppp}}}xxxiii___YYY^^^gggrrruuueeeVVVLLLIIIKKK))))))))))))(((((((((((())))))))))))))))))))))))(((((((((((((((((((((((((((((())))))))))))(((((((((((((((((())))))))))))(((((((((((((((((((((((()))((((((''''''''''''((())))))))))))))))))))))))'''((()))*********))))))'''(((((((((((()))))))))*********)))))))))))))))+++++++++*********))))))))))))*********+++++++++---,,,,,,++++++,,,,,,---++++++++++++++++++++++++++++++++++++++++++++++++...,,,++++++------,,,***.........////////////000//////////////////000111555444777>>>FFFSSSfffvvv}}}|||wwwooogggbbb^^^^^^gggqqq{{{vvvyyy~~~xxxyyy|||uuukkk]]]VVVMMMDDD@@@===<<<;;;999999888888888777777777777777888888888888777777777777777888888888999999777777777777777777777777555555555666666666777777555555555555555555555555666666666666666666666666666555555444333444444444444444444444444444444444444444444444444444444444333333333333333333333333333333222222222111111111111111111111111111111111000000000000///...---------------------,,,,,,,,,...------,,,,,,,,,------++++++++++++++++++++++++------------------------,,,,,,,,,,,,,,,,,,,,,+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,,,,,,,,,,---------.........------,,,,,,------...---------.........//////........................000000000000000000000000.........//////////////////000000000111111111222333444444333222333666888999999:::<<<<<<=========>>>@@@CCCEEEFFFIIILLLNNNQQQSSSVVVZZZ^^^dddkkkooo|||vvvlllgggnnnrrrzzz}}}nnnbbb[[[\\\bbbhhhwwwsssbbbTTTMMMLLL(((((((((((())))))))))))))))))))))))))))))))))))(((((((((((((((((((((((((((((())))))))))))(((((((((((((((((())))))))))))(((((((((((((((((((((((()))((((((''''''''''''((((((((((((((((((((((((((())))))*********++++++***(((((((((((()))))))))***))))))))))))))))))******+++++++++*********))))))))))))*********+++++++++))))))(((((((((((())))))++++++++++++++++++++++++++++++++++++++++++++++++...,,,++++++------,,,***.........////////////000///////////////000111111666555:::DDDPPP___sss~~~vvvlllbbb]]]]]]bbbmmmxxx{{{{{{~~~zzz{{{~~~xxxlllaaaTTTNNNFFF@@@===<<<<<<<<<999999999999888888888888888888999999999999888888::::::::::::;;;;;;;;;;;;888888888888888888888888666666666777777777888888666666666666666666666666777777777777777777777777777666555555444444555555555555555555555555555555444444444444444333333333333333333333333333333333333333333333222222222222222222222222222222222222111111111111000///...---.........------,,,,,,,,,,,,,,,,,,,,,---...///000------------------------------------------------************++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,---,,,,,,,,,,,,,,,,,,---,,,,,,,,,---------.........------,,,,,,------...------------....................................------------------------.............../////////000000000000000111111111222333333222222333555888555666888:::<<<===>>>>>>===???BBBDDDEEEGGGJJJMMMLLLOOORRRVVVZZZ```gggkkkuuu||||||lllaaacccfffllluuutttggg]]][[[]]]```nnnqqq```SSSLLL(((((((((((())))))))))))(((((((((((((((((((((((((((((((((((((((((((((((())))))(((((((((((())))))(((((((((((())))))))))))))))))))))))))))))))))))(((((('''''''''(((((()))''''''''''''((((((((((((***************+++++++++((((((((()))))))))******))))))))))))************+++++++++************))))))************++++++++++++******))))))******+++++++++++++++++++++++++++------------............---,,,++++++---------+++,,,,,,,,,------------...////////////000111222222666777>>>LLL\\\mmmxxxmmmbbb^^^aaahhhttt~~~|||}}}~~~vvvmmmbbbWWWKKKFFFAAA===;;;;;;::::::::::::::::::::::::::::::999999::::::::::::999999;;;;;;<<<<<<<<<=========999999999999999999999999888888888888999999999999777777777777888888888888888888888888888888888888888777666666555555666666666666666666666666666666555444444444444333333333444444444444444444444444444444444333333333222222222222222222222222222222222222222222111000////////////......---,,,,,,,,,++++++,,,,,,---///000111------------------------,,,,,,,,,,,,------------)))***************++++++,,,,,,,,,,,,------------------,,,,,,,,,,,,------,,,,,,,,,---------.........------,,,,,,------...,,,------------................................................////////////............///000000000000000000000000000000111222333333222222444666333444666999;;;===>>>???===???BBBCCCEEEFFFIIIKKKIIIKKKOOOSSSXXX]]]cccgggmmmttt}}}qqqbbb^^^]]]^^^eeeqqq{{{kkk___YYYWWWYYYfffyyyrrr___QQQ'''((((((((()))))))))***(((((((((((((((((((((((())))))))))))))))))))))))***)))(((''''''((()))***(((((((((((())))))))))))))))))))))))))))))))))))'''''''''''''''((()))***''''''(((((()))))))))))))))))))))))))))***++++++(((((()))))))))*********((()))))))))************+++++++++************))))))************+++++++++---,,,,,,,,,,,,,,,,,,---++++++++++++++++++++++++---------.........//////,,,+++***+++---...---,,,,,,,,,,,,------------...////////////000111222333888:::EEEVVVhhhxxxwwwkkkaaaaaahhhqqq}}}uuulllcccXXXNNNEEEBBB???===<<<;;;:::999;;;;;;;;;;;;;;;;;;;;;;;;::::::;;;;;;;;;;;;::::::;;;<<<<<<<<<<<<=========::::::::::::::::::::::::999999999:::::::::;;;;;;888888999999999:::::::::999999999999999999999999999999888777777777777777666666666666666666666666666666666555555555444444444444444444444444444444444444444444333333333333333333333333333333333333333333444333333222111000/////////...------,,,,,,---------------...///000,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++,,,,,,,,,---*********++++++,,,,,,,,,,,,,,,,,,---------......------,,,,,,,,,,,,------,,,,,,,,,---------.........------,,,,,,------...,,,,,,---------.................................000000000000111111111222//////.........///000111000000000000000000000//////111333333333222333555333444666888:::<<<======<<<>>>@@@BBBCCCEEEGGGIIIGGGJJJNNNQQQUUUYYY___bbbgggmmmuuu{{{~~~mmm```[[[VVVXXXbbbppp|||wwwiii```\\\YYYeeexxxttt```'''((((((((())))))******************************************************+++)))(((&&&&&&((()))+++(((((((((((())))))))))))))))))))))))))))))))))))&&&&&&&&&'''''')))***+++(((((())))))*********+++((((((((((((((()))******))))))))))))************(((((())))))*********++++++++++++************))))))************+++++++++***))))))))))))))))))***+++++++++++++++++++++++++++++++++,,,,,,---------+++******+++---///...---........./////////000000////////////000111222333999===III\\\ooorrrhhh```cccmmmyyyzzzoooeee]]]RRRIIIEEEBBB@@@??????>>><<<:::<<<<<<<<<<<<<<<<<<<<<<<<:::;;;;;;<<<<<<;;;;;;:::;;;;;;;;;<<<<<<<<<<<<===;;;;;;;;;;;;;;;;;;;;;;;;:::::::::;;;;;;;;;<<<<<<999999999::::::;;;;;;;;;999999999999999999999999:::999999888888888888888777777777777777777777777888888777777666666666555555555555555555555555555555555444444444333333333333333333333333333333333444444444444333222111111000000///...------,,,,,,//////...------------...++++++++++++++++++++++++*********++++++,,,,,,,,,+++++++++,,,,,,---------,,,,,,,,,------............------,,,,,,------...,,,,,,,,,---------.........------,,,,,,------...,,,,,,,,,---------..............................,,,---------......//////000//////......000111222000000000000////////////...000333444333333333333555555777888::::::;;;;;;:::===???AAABBBCCCFFFHHHGGGJJJMMMPPPSSSVVV[[[^^^ccciiipppvvvzzz{{{eee]]]TTTRRRZZZgggttt{{{|||vvvlllggg___jjjzzzppp+++)))(((''''''((()))+++))))))(((((((((((())))))))))))))))))))))))))))))+++++++++*********))))))))))))((((((''''''&&&&&&))))))************))))))((((((''''''''''''((((((''''''((()))***+++,,,,,,(((((((((((())))))))))))******************************************************))))))))))))******************************''')))+++,,,,,,,,,***)))******+++++++++,,,,,,,,,------------------------//////.........---------,,,,,,------.../////////333000000222222000000444888EEEWWWeeeooo{{{lllfffbbbiiixxxzzzooofff[[[OOOFFFDDD???>>>>>>======<<<<<<;;;============<<<<<<<<<<<<<<<<<<;;;;;;;;;;;;;;;<<<======<<<<<<<<<===>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>===<<<;;;;;;;;;<<<======<<<<<<;;;<<<<<<============<<<<<<<<<;;;;;;;;;999999999999999999999999::::::999999888777777666666777777888999999::::::888888888888777777777777666666555555555444444444555555444333222222111000555555555444333222111000111111111111000000//////...---,,,+++,,,---...///...........................---+++))))))***+++,,,,,,,,,,,,,,,,,,,,,,,,,,,******+++++++++,,,,,,,,,.........------,,,,,,,,,,,,,,,,,,---------......---------,,,,,,+++++++++---------............///........................---------............///111111000000/////////.............../////////////////////000111111222222333333444666777999:::::::::;;;<<<===@@@BBBDDDEEEJJJJJJJJJLLLPPPTTTXXXZZZ^^^bbbhhhooowww{{{lll[[[RRRRRRYYYeeepppsssuuu{{{wwwkkkiiiooozzz***)))(((''''''((()))******))))))(((((())))))***((((((((((((((((((((((((*********)))))))))((((((************))))))))))))(((((())))))))))))(((((())))))(((((((((((())))))((((((((((((((()))))))))(((((((((((()))))))))***************************************************++++++************++++++************************((()))***,,,,,,+++***)))***++++++++++++,,,,,,,,,------------------------//////.........---------,,,,,,---......//////000222///000333333111333888>>>KKK\\\hhhqqqzzzzzzjjjgggfffnnn~~~vvvjjj```VVVKKKDDDCCC@@@@@@@@@??????>>>>>>>>>========================BBBAAAAAA@@@@@@@@@AAAAAAAAAAAA@@@@@@@@@AAAAAABBB??????>>>>>>>>>>>>>>>======<<<;;;::::::;;;<<<=========<<<<<<<<<<<<======>>>>>>>>>>>>============::::::::::::::::::::::::;;;;;;:::999999888777777:::::::::999999999999999999888888888777777777777666666666555555555444444555555555555555444444444444444444444333333222111222222111000000000000000......---,,,,,,---...///------------------------...---+++***)))***+++,,,,,,,,,,,,,,,,,,,,,,,,,,,***++++++++++++,,,,,,,,,......---------,,,,,,,,,,,,,,,,,,---------...............---------,,,,,,---------............///........................---------............//////.........------------............/////////////////////000111111222222333444444666777888999999::::::;;;===???AAACCCEEEGGGHHHHHHJJJMMMQQQUUUWWW]]]```fffmmmsss{{{{{{gggYYYSSSTTT\\\dddjjjmmmwwwzzz|||***)))(((''''''((()))************))))))*********'''''''''''''''''''''''')))))))))((((((((((((((())))))))))))************''''''((((((((((((''''''***))))))))))))))))))***)))((((((((('''''''''&&&((((((((()))))))))******************************************************,,,,,,++++++++++++,,,,,,++++++++++++++++++++++++((()))***+++,,,+++******++++++++++++,,,,,,,,,,,,------------------------...............---------,,,------......///000000000...///333333333777===HHHSSScccmmmsssyyyttthhhjjjnnnwww}}}qqqdddZZZPPPHHHDDDEEEBBBBBBAAAAAAAAAAAAAAAAAA@@@@@@@@@@@@@@@@@@@@@@@@CCCCCCBBBBBBBBBCCCCCCDDDCCCBBBBBBAAAAAAAAABBBBBBAAAAAAAAA@@@@@@@@@??????>>>>>>============>>>>>>????????????????????????@@@@@@@@@@@@????????????<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<;;;;;;::::::999999===<<<<<<;;;:::999999888999999999888888888777777666666666666555555555555333333444444555555555555333333444444444333333222333222111000///000111111//////...------......///------------------------...---+++*********+++,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++++++++,,,,,,,,,,,,...------------,,,,,,,,,,,,,,,,,,---------......//////............---------------............///........................---------............///............------------............////////////...//////000000111111222444444555555666777777888999:::;;;<<<>>>@@@BBBCCCDDDEEEEEEGGGJJJNNNQQQSSSZZZ^^^ccchhhnnnuuu|||vvvdddXXXQQQSSSXXXaaaeeerrr******)))(((((()))******++++++************++++++(((((((((((((((((((((((())))))))))))))))))))))))&&&&&&''''''(((((())))))'''(((((())))))(((((('''))))))(((((((((((())))))(((((((((((((((((((((((((((((()))))))))*********************************************************+++++++++******+++++++++++++++++++++++++++++++++((()))***++++++++++++***+++++++++,,,,,,,,,------------------------------........................---------...//////000000000...000222333333999@@@PPPZZZhhhrrrvvvzzzqqqjjjpppxxxxxxlll^^^UUUMMMGGGEEEHHHBBBBBBBBBBBBBBBCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDDDDFFFEEEEEEEEEEEEFFFFFFGGGGGGGGGFFFEEEDDDDDDEEEEEEFFFEEEEEEDDDCCCBBBBBBAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBCCCCCCBBBBBBAAAAAABBBAAAAAAAAAAAA@@@@@@@@@>>>>>>>>>>>>>>>>>>>>>>>>>>>=========<<<<<<<<<;;;<<<<<<<<<;;;::::::999999::::::999999999888888888777777777666666666555555222222222222222333333333333333444444444444444444333222000//////000222333000000//////////////////------------------------...---,,,++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++,,,,,,,,,------------------------------,,,,,,,,,---------..................---------------------............///........................---------............///000000000000000/////////............////////////......//////000111111111444444444555555666666666999999:::;;;===???AAABBBBBBCCCDDDFFFIIILLLOOOPPPVVVYYY^^^dddjjjqqqxxx}}}ppp```TTTPPPQQQYYY___mmm******))))))))))))******++++++************++++++))))))))))))))))))))))))************************&&&&&&''''''(((((())))))((())))))******))))))((('''''''''&&&&&&'''''''''''''''((())))))***++++++))))))))))))******************************************************************))))))))))))******++++++++++++++++++++++++))))))******++++++++++++++++++,,,,,,,,,------------------------------------.....................------......///000000111000///111333333444;;;EEEVVV___kkktttxxx|||~~~tttpppwww~~~~~~ooodddWWWPPPJJJFFFFFFIIICCCCCCCCCDDDDDDEEEEEEFFFEEEEEEFFFFFFGGGGGGGGGGGGKKKKKKJJJJJJKKKLLLMMMMMMOOONNNMMMLLLKKKKKKJJJJJJHHHHHHGGGFFFEEECCCCCCBBBCCCCCCCCCDDDDDDEEEEEEEEECCCDDDDDDDDDDDDCCCBBBAAABBBBBBBBBAAAAAAAAAAAA@@@@@@@@@@@@@@@@@@@@@@@@@@@????????????>>>>>>>>>>>>;;;;;;;;;;;;;;;;;;;;;;;;::::::::::::999999999999888888777777777666666666555555444444333222111111333333444555555555444444222222111000000111222333111111111000000/////////------------------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,---------------------------------,,,,,,,,,---------......,,,,,,,,,,,,,,,,,,,,,------------............///........................---------............////////////000000000000000............////////////.........///000000111111333333444444555555555666888888888:::;;;===???@@@AAABBBCCCFFFHHHKKKMMMOOOQQQUUUZZZ```gggnnnvvv{{{}}}kkkZZZPPPNNNQQQVVVdddxxx*********************************))))))*********************************************++++++++++++))))))))))))************))))))************))))))'''&&&&&&%%%%%%&&&&&&'''''''''((()))***+++,,,,,,)))))))))*********++++++***************************************************))))))))))))))))))***,,,,,,,,,,,,,,,,,,,,,,,,***************+++++++++,,,,,,,,,,,,---------------------------------------------...............---......//////000111111000000222555555777AAALLL\\\cccmmmuuuyyy|||zzzwwwwww~~~|||}}}~~~~~~tttddd[[[RRRMMMJJJFFFGGGJJJGGGGGGHHHHHHIIIJJJKKKKKKJJJJJJKKKKKKLLLLLLMMMMMMOOOOOOOOOOOOPPPQQQQQQRRRSSSRRRQQQOOONNNMMMMMMMMMLLLKKKJJJIIIGGGFFFDDDDDDDDDEEEFFFGGGGGGGGGGGGGGGEEEEEEFFFFFFFFFDDDCCCBBBCCCCCCCCCCCCBBBBBBBBBBBBAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA@@@@@@@@@@@@@@@<<<<<<<<<<<<<<<<<<======;;;;;;;;;:::::::::999999888888888888777777777777999999888777666555444444444444555555555444444333111111111222222222222222222222222222111000//////........................------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,------------,,,,,,,,,------------...,,,,,,,,,---------......+++++++++,,,,,,,,,,,,------------............///........................---------............///---------...........................////////////---......//////000000111222222333333444555666666777777777888:::<<<===>>>@@@AAACCCEEEHHHJJJLLLMMMNNNRRRWWW]]]dddkkksssxxx~~~xxxbbbRRRLLLJJJNNNYYYlll~~~*********++++++************))))))(((((())))))***))))))))))))))))))))))))))))))))))))*********+++************))))))))))))(((((())))))))))))((((((''''''&&&&&&&&&&&&'''''''''((((((((())))))******))))))*********+++++++++************************************************+++******))))))******+++,,,,,,,,,,,,,,,,,,,,,,,,***************++++++,,,,,,,,,,,,------------...---------------------------------.........//////.........///000000111111000000444777999===JJJWWWaaagggooouuuyyy|||yyyvvvyyy~~~|||}}}~~~vvvkkk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```gggnnnrrr{{{mmmYYYPPPKKKKKKRRR___oooyyyvvvxxx}}}******++++++++++++******))))))(((((((((((())))))))))))))))))))))))))))))'''((((((((())))))******))))))((((((''''''&&&&&&''''''((((((((((((''''''((((((''''''''''''(((((((((((((((((((((''''''''')))************+++++++++************************************************,,,++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,******))))))******+++,,,,,,,,,,,,---------......---------------------------------.........//////......//////000000111111///000555999<<>>===<<<<<<;;;;;;;;;:::::::::999999999888888888888777666666666666777777777777666666666666555444333222...000333555555444222000333333444444333222000///000000000000000000000000------......------,,,+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------......,,,,,,,,,------.........,,,,,,,,,---------......---------.........//////---------.........//////........................---------.........//////.../////////000000111111............/////////000------......///000000000///000111222444555666777666666666777888:::;;;<<<===???AAACCCFFFGGGHHHIIINNNPPPUUUYYY]]]ccciiinnnxxx|||uuuaaaWWWPPPNNNPPPXXXdddrrrsssooopppkkksss************************))))))(((((((((((())))))))))))))))))))))))))))))'''((()))******)))((('''''''''(((((())))))******&&&'''''''''(((((())))))***(((&&&'''***+++)))'''))))))***++++++++++++***************************+++*********))))))((((((************************++++++++++++++++++++++++******+++++++++,,,,,,,,,...------,,,++++++++++++++++++******++++++,,,------,,,,,,++++++,,,,,,------------.........//////---///000111000111222444333555888===GGGUUUcccmmmrrrtttvvvvvvuuuwww{{{wwwvvv~~~~~~|||~~~yyykkk```ZZZ[[[]]]]]]\\\[[[[[[\\\\\\___cccfffggghhhhhhiiimmmmmmnnnnnnoooqqqrrrsssvvvwwwyyyzzzzzzzzzzzzyyyxxxsssmmmiiihhhhhhggggggffffffdddbbb```]]][[[YYYYYYYYYYYY[[[^^^___^^^]]]___^^^^^^]]]\\\[[[ZZZZZZRRRQQQPPPMMMKKKIIIHHHGGGHHHFFFDDDAAA@@@AAAAAABBB???@@@BBBDDDEEEEEEDDDDDDCCCDDDDDDDDDCCCAAA???>>>??????>>>>>>======<<<<<<<<<<<<;;;::::::999999888777888888999999999888888999999999999888777555555444444444333333333222222444444444444333333222111000111333444444333222111//////...------------...,,,,,,------------------,,,,,,+++***+++,,,...///+++,,,------......------000000000//////......---.........------,,,,,,,,,---...//////000000//////------------------------///............------------------------...///000111111000000//////......---------............///444333222111111333555666666666777777888:::;;;<<<<<<<<<>>>AAADDDGGGJJJKKKMMMOOOQQQUUUYYYaaaiiinnnuuuzzzooo]]]TTTOOOOOOUUU^^^iiiwwwtttlllkkkkkkkkkrrr******************************))))))))))))******))))))))))))))))))))))))'''((()))******)))(((''''''((((((((()))))))))***'''''''''((((((((())))))***(((''''''******)))'''))))))***++++++++++++***************************************)))))))))(((************************++++++++++++++++++++++++******+++++++++,,,,,,,,,+++,,,------,,,+++***))),,,,,,++++++,,,,,,---...---,,,,,,++++++,,,,,,------------.........//////---///000000000000222333333555;;;EEESSScccqqqyyywwwyyy{{{{{{yyyyyy{{{}}}~~~|||wwwwww~~~~~~~~~~~~}}}vvvllleeeaaaccceeeeeeeeeeeeggghhhhhhkkkppptttuuuwwwyyyzzz}}}}}}~~~~~~xxxtttrrrrrrqqqppppppoooooommmkkkhhheeeccceeeeeeeeegggjjjkkkkkkjjjggggggfffeeeeeedddcccccc______]]]ZZZWWWTTTQQQOOOLLLJJJGGGDDDBBBBBBBBBBBBBBBCCCDDDDDDEEEEEEEEEDDDBBBCCCDDDDDDDDDCCCBBBAAAAAA@@@@@@???>>>======<<<<<<<<<;;;::::::999999888888888999999999999888888777777777777666555444333444444444333333333333222444444444444444333222111///000111222222111000/////////...------------...------------------------,,,,,,+++++++++,,,---...,,,,,,------......---------------,,,,,,,,,,,,,,,......---------,,,,,,,,,+++,,,------......---------------------------------------.........//////......---------......///000000000000//////.............../////////000000333222111111111222444555666666666666777999:::;;;===>>>???@@@CCCEEEGGGIIIMMMOOOQQQTTTYYY___gggllltttyyyvvveeeUUUOOOLLLOOOWWWaaannnzzzqqqiiihhhiiigggjjjuuu))))))))))))))))))))))))******))))))))))))******))))))))))))))))))))))))(((((())))))))))))(((((((((((((((((())))))))))))''''''(((((((((((())))))***((('''((()))***)))'''))))))***++++++++++++***************************************))))))))))))******************************************************+++++++++,,,,,,,,,***+++,,,---,,,+++)))(((------,,,,,,------...///------,,,,,,,,,,,,------------........./////////...///000000//////111333555888AAAPPPcccttt}}}|||}}}|||zzzzzz~~~~~~{{{wwwssspppmmmooopppqqqsssuuuyyy|||}}}~~~}}}}}}}}}|||zzzwwwsssqqqsssssssssvvvxxxzzzyyyxxxrrrrrrrrrqqqqqqpppppppppkkkkkkjjjgggccc___ZZZXXXUUUSSSPPPLLLIIIGGGFFFFFFDDDCCCBBBAAAAAAAAAAAAAAAAAAAAACCCDDDEEEEEEEEEEEECCCCCCBBBAAA@@@???>>>===<<<<<<;;;;;;:::999999999999999999::::::999999888777777777777666555444444555555444444444333333333333444444444444333333222000111222222222111000///000///......------......///.........---,,,,,,,,,,,,,,,,,,+++,,,,,,---...,,,,,,,,,---------......++++++++++++,,,,,,,,,,,,...------------,,,,,,,,,+++,,,------......------------------------------++++++,,,---...///000111//////...---------......000000000////////////...////////////000000000111111111111111111222222222444444444555666777999999>>>>>>???@@@AAACCCEEEFFFMMMNNNQQQSSSWWW]]]dddiiiqqqvvv|||qqq^^^UUUNNNMMMQQQYYYfffrrr{{{qqqjjjggggggcccccckkkuuu}}})))))))))))))))))))))))))))))))))(((((()))))))))))))))))))))))))))))))))(((((())))))))))))(((((((((((((((((())))))))))))(((((((((((((((((()))))))))((((((((()))))))))((())))))***++++++++++++************************************)))))))))))))))************************))))))))))))))))))))))))******+++++++++,,,,,,,,,+++*********************,,,,,,,,,,,,,,,---......------,,,,,,,,,,,,------............////////////...///000/////////111444999===III\\\rrr{{{{{{~~~{{{}}}~~~~~~}}}~~~||||||||||||{{{{{{{{{{{{vvvvvvvvvtttqqqlllhhheeeccc```]]]XXXSSSPPPMMMLLLIIIHHHEEECCCAAA@@@@@@@@@@@@@@@BBBCCCEEEFFFGGGGGGEEEEEEDDDCCCAAA@@@??????===<<<<<<;;;;;;:::999999::::::::::::::::::999888999999999999999888777666555555555555444444444444333444444444444444333333333444444555444444333222000//////...............000//////...---,,,,,,+++------,,,,,,,,,---------,,,,,,,,,,,,------......,,,,,,,,,------.........---------------------------...//////000/////////........................,,,,,,------...//////000000///...---------------////////////////////////....../////////000000000//////000111111111111000333333333444555666777888<<<<<<===>>>@@@BBBDDDFFFKKKMMMPPPRRRVVV[[[aaaeeelllrrrxxx~~~|||kkkaaaUUUPPPPPPVVVaaalllrrr{{{yyyoooiiihhhcccbbbiiiqqq{{{)))))))))))))))))))))))))))((((((''''''(((((()))))))))))))))))))))))))))))))))(((((((((((())))))))))))))))))(((((((((((())))))))))))))))))((((((((()))))))))((((((((()))))))))***++++++++++++***************************))))))))))))))))))******************************))))))))))))))))))))))))******+++++++++,,,,,,,,,---+++)))''''''))),,,---+++++++++++++++,,,,,,---...------,,,,,,------............/////////000000//////000//////000333666<<>>>>>======<<<;;;;;;;;;;;;;;;;;;;;;;;;:::999999888999999999999888888777666666666555555555444444333444444555555444444444555555555555444444333333000000///............///000000///...------,,,,,,------------------------------,,,,,,,,,---...///,,,,,,,,,------.........---------------------------...//////000/////////................................................000///...---------------.............../////////------........./////////...///000111111111000000222222333333444555777888888999:::<<>>======<<<<<<<<<<<<<<<;;;:::999999666777777888777777666666777666666666666555555555333444444555555555555444555444444333333222222222111000//////......//////000/////////...------------............---,,,,,,------,,,+++,,,---...///++++++++++++,,,,,,,,,,,,,,,,,,,,,------------...+++,,,------......------........................//////.........---------//////...---------......---............/////////------------............000000000000000111111111222222222333444555777777666777888;;;>>>BBBDDDFFFGGGIIILLLOOOSSSWWW\\\```dddjjjssszzz{{{lll```VVVRRRTTTZZZgggnnnyyy~~~nnngggeeeeeekkkrrrzzz++++++++++++++++++++++++++++++************++++++))))))))))))))))))))))))***)))(((''''''((()))******)))))))))((((((((('''*********)))))))))((((((''')))******''''''(((***))))))***++++++++++++***************************((()))))))))************************************++++++++++++++++++++++++******+++++++++,,,,,,,,,***+++++++++,,,,,,,,,,,,,,,++++++++++++,,,------......------------........./////////000000000000...///000000111444999===DDDRRRjjj}}}~~~wwwrrroooiiihhhddd```[[[VVVQQQOOOMMMKKKIIIGGGEEEDDDCCCCCCEEEEEEDDDDDDDDDDDDDDDDDDBBBAAAAAA@@@@@@???>>>>>>=========<<<<<<;;;:::999666777777888888777777777777777777666666666555555333333444555555555555555666555444333333222222222111000000///////////////////////////............---.../////////...,,,+++...---,,,++++++---...000---------,,,,,,,,,,,,,,,,,,,,,,,,---------......+++,,,------......------........................---------.....................---------......///---------.........//////............////////////111111000///000111222333333333333333444666777888777777888:::===@@@BBBCCCDDDGGGJJJNNNRRRVVV[[[___ccciiiqqqxxx}}}rrrcccXXXUUUVVVaaahhhrrrzzzxxxkkkhhhhhhlllrrr|||,,,,,,,,,,,,,,,,,,,,,,,,---,,,,,,++++++,,,,,,---))))))))))))))))))))))))***)))(((''''''((()))*********))))))((((((((('''+++*********))))))((((((''')))+++***'''&&&(((***))))))***++++++++++++***************************(((((())))))*********+++************************++++++++++++++++++++++++******+++++++++,,,,,,,,,(((***---///000...,,,***---,,,,,,,,,,,,---............------------......////////////000000000000...///000111222666;;;???JJJYYYrrr|||xxxwwwtttpppjjjddd^^^[[[RRRPPPMMMIIIFFFDDDCCCCCCDDDDDDDDDDDDEEEEEEEEEEEECCCCCCBBBAAAAAA@@@@@@???============<<<;;;:::999888999999:::::::::999999777777777777666666666666333333444555666666666555999888777555555444444444111111000///////////////.........///////////////....../////////...,,,+++...---,,,++++++---...000000000000//////.........,,,,,,,,,------.........---...//////000000//////////////////////////////+++,,,,,,---...///000000---------------...///000---------.........//////////////////000000000000333222000//////111333444333333333444555666777888888888999:::<<<>>>@@@AAABBBEEEIIIMMMQQQVVV[[[___ccciiiqqqwww{{{qqqaaaZZZYYY]]]dddmmmuuu{{{qqqmmmkkkmmmsss~~~...---,,,+++************************************))))))))))))))))))))))))%%%&&&&&&'''((()))******))))))************))))))))))))))))))))))))))))))***)))((((((((()))+++,,,(((...222111***&&&(((+++++++++,,,,,,***((()))++++++++++++************)))++++++************++++++++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,++++++,,,,,,---...******,,,---.../////////........................000///.........///111222---///111111222666===CCCPPP___uuuzzzssslllggg___ZZZSSSNNNKKKJJJIIIHHHDDDEEEEEEDDDBBBBBBCCCDDDCCCBBBAAAAAACCCCCCBBBAAA======<<<<<<;;;;;;;;;:::::::::;;;<<<<<<;;;;;;;;;888888888888777777777777444444444444444444444444999888777666555444333333222222111111000//////...000///...------...///000////////////............---------------------------------,,,,,,+++++++++......---------,,,,,,,,,+++,,,,,,---...///000000,,,,,,,,,---------......---......///////////////........................//////.........---------...............---------000000000000000000000000000000111222444555555666888888999:::;;;===>>>>>>AAACCCFFFIIIMMMQQQVVVZZZ___ccckkkrrrxxx~~~pppaaaWWWWWWbbbnnnvvv|||vvvmmmqqqxxx~~~------,,,+++************++++++++++++++++++++++++))))))))))))))))))))))))(((((())))))))))))))))))))))))************))))))))))))))))))))))))))))))***)))((((((((()))++++++---111555444000,,,,,,......---------,,,******+++++++++++++++************++++++************++++++++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,++++++,,,,,,---...,,,,,,------...---------........................//////......//////000111///111222222444999AAAGGGXXXeeewww{{{wwwsssmmmeee]]]WWWRRRNNNKKKGGGGGGFFFDDDBBBAAABBBCCCEEEDDDBBBBBBCCCCCCAAA@@@>>>>>>======<<<<<<<<<<<<;;;;;;<<<<<<<<<<<<<<<;;;999888888888777777777777888888888888888888888888888888777666555444444333333333222111111000000///111000000//////000000111////////////............------------------------...---------,,,,,,,,,+++......---------,,,,,,,,,,,,,,,------.../////////,,,,,,,,,---------......------...///////////////........................//////.........---------------..................000000000000000000000000000111111222333444555666777888999:::;;;<<<===>>>AAACCCFFFIIILLLQQQVVVZZZ^^^ccckkkrrrxxx~~~mmm^^^WWW___iiirrr}}}xxxzzz~~~---,,,+++******))))))***,,,,,,,,,,,,,,,,,,,,,,,,))))))))))))))))))))))))+++++++++******)))))))))))))))************)))))))))))))))))))))))))))))))))))))))((()))******+++,,,...000222111000---,,,///...---,,,---...---+++,,,+++++++++************++++++************++++++++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,++++++,,,,,,---...------......------,,,+++........................------...////////////...111222333333666<<>>>>>>>>>>>>>><<<<<<=========<<<<<<;;;999999999888888888777777777777777777777777777777777777666666555555555444444444333333222222111111222222111111111111222222////////////............------------------------.........---------------......---------,,,,,,,,,------------------------,,,,,,,,,---------......------...////////////..........................................---------,,,---------.../////////000000000000000000000000000111111222333444555555666777888999;;;<<<===>>>@@@BBBEEEHHHKKKOOOUUUXXX^^^cccjjjrrrxxx~~~}}}hhh\\\^^^cccmmmzzz---,,,+++******))))))***,,,,,,,,,,,,,,,,,,,,,,,,))))))))))))))))))))))))************************))))))************)))))))))))))))))))))))))))))))))))))))))))))******+++))))))+++///333444111...,,,,,,+++***,,,///...***,,,,,,+++++++++*********++++++************++++++++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,++++++,,,,,,---...,,,------...------,,,,,,........................+++,,,.../////////...---222333333444777@@@LLLUUUgggooozzzzzzssskkkbbb]]][[[WWWQQQLLLIIIGGGEEEDDDEEECCCAAA@@@AAABBBAAA@@@@@@@@@@@@@@@@@@@@@@@@???<<<<<<======<<<<<<;;;;;;::::::999999999888888888777777777777777777777777666666666666666555555555555555444444333333333333222222111111111111222222////////////............------------------------..............................---------,,,,,,,,,.........------,,,,,,,,,,,,,,,,,,---------......,,,---......//////......................................................,,,,,,,,,---...///000000////////////////////////000111111222333333444444555666777999:::<<<===>>>???AAADDDGGGJJJNNNSSSWWW]]]bbbiiiqqqwww}}}uuueee```^^^fffuuu...---,,,+++************++++++++++++++++++++++++))))))))))))))))))))))))''''''((())))))***++++++))))))************))))))))))))))))))))))))))))))((()))))))))***************)))***///666999888555))),,,,,,)))***......***,,,,,,,,,++++++++++++***++++++************++++++++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,++++++,,,,,,---...***+++,,,---....................................+++,,,.../////////...---111222333444999DDDQQQ[[[hhhnnnwww}}}~~~{{{{{{zzz}}}tttnnnfffaaaZZZTTTPPPLLLHHHEEEBBB@@@>>>>>>???AAABBBAAA@@@AAAAAAAAAAAAAAAAAAAAA<<<<<<<<<<<<<<<;;;::::::::::::::::::999999999999::::::::::::::::::::::::666666666666666555555555555555555444444444444444111111111111111111111111////////////............------------------------..............................---------,,,,,,,,,.........---,,,,,,++++++,,,,,,,,,---------......,,,------.......................................---.....................,,,,,,,,,---...///000000////////////////////////000111111222222333333333444555666888:::;;;======>>>@@@CCCFFFHHHLLLQQQUUU[[[```hhhooovvv|||mmmbbb[[[```nnn~~~///...---,,,,,,+++++++++************************))))))))))))))))))))))))&&&&&&'''((()))***+++,,,))))))************))))))))))))))))))))))))))))))(((((()))************)))'''&&&'''+++111666777666,,,222222,,,)))------))),,,,,,,,,,,,++++++++++++++++++************++++++++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,++++++,,,,,,---...)))***,,,---.../////////........................------...////////////...000222444777===HHHVVV```ggglllsssyyy}}}zzzzzzyyy{{{sssmmmeee^^^YYYSSSLLLGGGCCCAAA>>>>>>???AAABBBBBB@@@AAAAAAAAAAAABBBBBBBBB============<<<<<<;;;:::;;;;;;;;;:::::::::999999999999999999999999999999777777666666555555555444555555444444444444444444000111222222222222111000////////////............---------------------------------------...............---------,,,,,,,,,...---------,,,,,,++++++,,,,,,,,,---------......,,,,,,---............---........................---------...............,,,---------.../////////000000000000000000000000111111111111222222333333333444555777999;;;<<<======???BBBDDDGGGKKKOOOSSSYYY^^^fffmmmttt{{{xxxhhh[[[]]]gggvvv000000///...------------++++++++++++++++++++++++)))))))))))))))))))))))))))))))))******+++++++++))))))************))))))))))))))))))))))))))))))'''((()))***+++******)))&&&%%%%%%&&&***...111333333======222***+++,,,)))------,,,,,,,,,+++++++++++++++************++++++++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,++++++,,,,,,---...+++,,,,,,---.........---........................//////......//////000111000222666:::AAAMMM[[[eeehhhkkkpppuuu{{{~~~||||||||||||tttmmmggg```VVVNNNHHHEEEAAA???@@@AAAAAAAAA@@@@@@@@@AAAAAABBBBBBBBB@@@@@@@@@??????===<<<<<<;;;;;;;;;;;;::::::::::::666666666666666666666666888888777666555444444333444444444444444444444444111222333444444333222111////////////............------------------------+++,,,,,,,,,------------......---------,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,,,,---------......+++,,,------......------........................---------.........//////------..................000000000000000000000000111111111111222222222222222333555777999;;;<<<======???AAACCCFFFIIINNNRRRVVV\\\dddlllsssyyyuuuccc^^^bbbkkk111000///......---......,,,,,,,,,,,,,,,,,,,,,,,,)))))))))))))))))))))))),,,,,,,,,++++++++++++***))))))************))))))))))))))))))))))))))))))'''((()))++++++******)))+++***)))((())),,,111444;;;EEEFFF888+++++++++(((---------,,,,,,,,,++++++++++++************++++++++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,++++++,,,,,,---...------......------,,,+++........................000000///......000111222000333888===DDDPPP^^^hhhiiilllooosssxxx~~~~~~zzzsssjjj___VVVMMMJJJEEEBBBAAAAAA@@@???@@@@@@@@@AAAAAABBBBBBBBBBBBBBBBBBAAA@@@???>>>>>><<<<<<;;;;;;;;;:::::::::888888888888888888888888999888777666555444333333333444444444444444444444333333444555555444333333000/////////............------------------------+++++++++,,,,,,---------......---------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------......+++,,,------......------........................---------.........//////...............---------000000000000000000000000111111111111111222222222222333444666999;;;<<<======>>>AAACCCEEEIIINNNQQQUUUZZZbbbjjjrrrxxx~~~kkkaaa^^^cccvvv{{{999444///------...---++++++,,,,,,---,,,+++***))))))************+++++++++))))))))))))))))))))))))************************+++*********))))))(((((()))))))))))))))))))))))),,,,,,,,,---...///000111NNNIII<<>>===<<<;;;:::999999999999999999999999999999888888888888777666444444333333444444555666666666666555444444333333333333111111000///...---,,,,,,///000111111111000...---///............---------,,,,,,,,,,,,,,,,,,,,,,,,------------------------------------------------000000000///.........---///............---------//////............//////......//////////////////+++---///000111000...---000000000111222222333333444444555777888999:::;;;<<<>>>AAACCCEEEIIINNNQQQVVV\\\ccciiinnnttt|||xxxjjjaaa^^^kkk|||}}}ttt===888222///.........---+++,,,,,,,,,,,,+++***))))))************+++++++++************************************************************)))))))))((())))))))))))))))))))))))++++++++++++,,,---......EEEAAA777---))),,,///......+++((())),,,...,,,)))++++++************++++++***++++++,,,,,,++++++******+++,,,------,,,+++***++++++,,,,,,,,,,,,------------..................///////////////////////////000111000//////000222222555;;;FFFSSS```kkkppptttuuuuuuvvvxxx{{{}}}|||}}}~~~zzzxxxwww|||xxxpppccc___YYYPPPIIIDDDBBBBBBFFFDDDBBBBBBCCCCCCBBB@@@DDDDDDDDDDDDCCCCCCCCCBBB??????>>>===<<<;;;::::::999999999:::::::::::::::888888888888777666555444444444555555555555666666555555444333333333444444222222111000///...------///000000000000///......///............---------////////////////////////------------------------------------------------------------,,,,,,,,,,,,---------.........////////////............/////////////////////.........,,,---.../////////......000000000111222222333333444444555777888999:::;;;<<<>>>AAACCCEEEIIINNNQQQWWW\\\ccciiinnnttt|||qqqccc\\\bbbnnn|||{{{rrrCCC>>>777222/////////...++++++,,,,,,,,,+++******)))************+++++++++++++++++++++++++++++++++************************************))))))))))))))))))))))))))))))))))))+++******)))******++++++888777222+++(((,,,...,,,...+++((())),,,---,,,***++++++************++++++***++++++,,,,,,++++++*********++++++++++++******++++++,,,,,,,,,,,,------,,,---------...////////////////////////////////////000111111000000222444444:::EEERRR```mmmuuuzzz}}}}}}}}}~~~~~~vvvssssssxxxzzztttrrrwww~~~qqqmmmddd[[[RRRKKKFFFDDDFFFEEECCCCCCDDDCCCAAA@@@BBBBBBCCCDDDCCCBBBAAA@@@@@@@@@???>>>===<<<<<<;;;::::::::::::::::::::::::999999999999888777666555666666666666555555555555444444444444444444555555444333333222111000///...000000///...............///............---------////////////////////////------------------------------------------------,,,,,,,,,,,,------------++++++,,,---...///000111//////............//////000000//////.........---------............//////000000000111222222333333444444555666888999::::::<<<>>>@@@BBBEEEIIIMMMQQQWWW\\\dddiiinnnttt{{{}}}lll^^^]]]cccmmmzzz}}}sssGGGBBB;;;444000/////////++++++++++++++++++++++++))))))*********+++++++++++++++++++++++++++++++++*********************************)))))))))))))))))))))))))))))))))))))))+++******)))))))))******///222000+++)))+++,,,***---+++)))***+++,,,,,,***++++++************++++++***++++++,,,,,,++++++***************************+++++++++,,,,,,,,,------,,,,,,,,,---...///000000///////////////////////////000111111000222444666999CCCRRRbbbqqq{{{wwwtttsssyyy~~~tttpppttt|||wwwooofff]]]UUUOOOKKKFFFDDDCCCCCCDDDCCCBBB@@@@@@AAACCCDDDDDDCCCAAA@@@AAAAAA@@@@@@???>>>>>>===<<<<<<<<<;;;;;;;;;;;;;;;999999999999999888777777888888777777666555444444444444444444444555666777555555444333222111000000111000...---------...//////............------------------------------------------------------------------------------------------....../////////,,,,,,------...//////000///......------......///000000000///......------//////.........///000111000000000111222222333333333444555666777999::::::;;;===@@@BBBEEEHHHMMMQQQWWW]]]dddjjjnnnttt{{{yyyhhh``````dddpppyyyIIIEEE???777111......///+++++++++++++++++++++,,,))))))*********+++++++++++++++++++++++++++++++++************************))))))))))))))))))******)))))))))))))))))))))))),,,++++++************+++---111222---*********(((,,,+++******+++,,,,,,+++++++++************++++++***++++++,,,,,,++++++***************************+++++++++,,,,,,,,,------,,,,,,,,,---...///000000........................///000111111111333777999AAANNNaaatttxxxvvvwww~~~yyysssttt}}}yyyqqqhhh```XXXRRRGGGEEECCCBBBCCCDDDCCCBBBCCCDDDFFFHHHHHHGGGEEEDDDBBBBBBBBBAAAAAA@@@@@@???=========<<<<<<<<<;;;;;;::::::::::::::::::999888999999888777666555555444444444444444555555666777666666555444333222111111111000///------.../////////............---------++++++++++++++++++++++++------------------------------------------------,,,---------......//////..............................------------......000000//////.........---000000//////000000111222000000000111222222333333333333444666777888999:::;;;===@@@BBBDDDHHHMMMPPPXXX]]]dddjjjnnnttt{{{sssfff______hhhxxxJJJHHHCCC;;;444000//////++++++******++++++,,,---)))************+++++++++++++++++++++++++++++++++************************))))))))))))************)))))))))))))))))))))))),,,+++++++++++++++,,,,,,,,,222444000,,,+++***(((,,,++++++******++++++,,,++++++************++++++***++++++,,,,,,++++++***,,,+++************+++,,,++++++,,,,,,,,,,,,------,,,---------.../////////........................///000111111222555999<<>>>>>===<<<<<<<<<::::::;;;;;;;;;;;;:::::::::999999888777666666555555555555444555555666666777666555555333333222111111111000//////////////////............---------,,,,,,,,,,,,,,,,,,,,,,,,------------------------------------------------++++++++++++,,,,,,,,,,,,//////.........---------......------------......//////////////////////////////000000000111111111000000000111222222333333333333444555777888999999;;;===???AAADDDHHHLLLPPPXXX^^^dddjjjnnnssszzzmmmaaa^^^bbbnnn~~~KKKJJJGGG@@@888222000111++++++*********+++,,,---)))************+++++++++************************************************((()))))))))************))))))))))))))))))))))))************+++,,,,,,---+++222555111,,,++++++***+++,,,++++++******+++,,,++++++************++++++***++++++,,,,,,++++++***---,,,+++******+++,,,---++++++,,,,,,,,,,,,------------..........................................///000111111222666;;;>>>QQQccc}}}~~~xxx|||~~~xxx}}}~~~vvvllldddYYYSSSLLLFFFDDDDDDDDDDDD@@@@@@AAAAAAAAABBBBBBBBBDDDDDDDDDDDDDDDCCCCCCCCC@@@@@@???>>>>>>===<<<<<<;;;;;;<<<<<<<<<<<<;;;;;;999999999888888777777777777666666555555555555666777666555444333222222111111111111111111000000//////............---------------------------------------------------------------------------------,,,,,,++++++++++++++++++---------..................------,,,,,,------...------......///000000000,,,---...000000//////...000000000111222222333333222333444555666888999999;;;<<>>======<<<;;;;;;<<<<<<<<<<<<<<<;;;999999999888888888888888888777666555555555555555666666555444333222222111111111222333333111000/////////.........---------,,,,,,,,,,,,,,,,,,,,,,,,------------------------------------------------.........------,,,,,,,,,+++,,,,,,---...///000000...------,,,,,,------...,,,,,,---...///000111111***+++---//////...---,,,000000000111222222333333222333444555666888999999:::<<>>III\\\mmm{{{rrrwww}}}~~~~~~yyylllcccXXXPPPKKKHHHEEECCCDDDDDDCCCBBBAAAAAAAAAAAAFFFFFFEEEEEEDDDDDDCCCCCCEEEDDDCCCBBBAAA@@@??????>>>>>>>>>===<<<<<<;;;;;;===;;;::::::;;;<<<:::999999888666555444444444555777777666666666555555555444444444333222111000///------------------------------------------------******+++,,,,,,---......,,,,,,,,,++++++*********---,,,,,,++++++,,,,,,---........................---------............///---------............///000000000000////////////000000000000000000000000111111222333444666777888;;;===>>>@@@BBBFFFJJJNNNVVV]]]gggnnnrrruuuyyy|||nnnddd\\\___iiiwwwOOOMMMJJJGGGCCC===666222000...,,,+++,,,------,,,,,,***))))))++++++***'''++++++++++++++++++++++++************+++++++++,,,+++++++++++++++***))))))***)))((((((((()))+++,,,,,,******+++......,,,***,,,,,,,,,,,,,,,+++***)))************************+++++++++,,,------......,,,,,,,,,+++++++++******,,,------,,,++++++,,,.........------,,,,,,++++++---------.........//////000000//////...//////000000111333555555777BBBMMMaaappp~~~vvvzzz~~~}}}ssskkk```XXXRRRNNNIIIFFFFFFEEEDDDBBBAAAAAABBBBBBEEEEEEEEEDDDDDDDDDDDDDDDFFFEEEDDDCCCBBBAAA@@@???>>>>>>>>>===<<<<<<;;;;;;<<<;;;::::::;;;;;;:::999999888777666555555555666555555444444444333333333444444444333333222111000------------------------........................***++++++,,,------......---------,,,,,,,,,,,,,,,---,,,,,,++++++,,,,,,---........................---------............///---------............///000000000000////////////000000000000000000000000111111222333444666777888999;;;===@@@BBBGGGLLLQQQWWW^^^gggnnnsssvvv{{{~~~wwwjjj^^^\\\cccpppQQQOOOLLLIIIFFFAAA:::666222000---++++++,,,+++***+++***))))))******)))'''************************)))))))))*********++++++***++++++++++++***)))))))))))))))((())))))***+++***))))))***,,,---+++***++++++,,,,,,,,,+++******++++++++++++++++++++++++******++++++,,,---------,,,,,,,,,+++++++++******---,,,******,,,,,,,,,+++///...------+++******)))------.........///////////////............//////222111333555777;;;GGGSSSgggsss}}}~~~|||uuukkkddd^^^XXXQQQLLLJJJHHHEEEBBBAAAAAABBBCCCCCCCCCDDDDDDDDDEEEEEEEEEHHHGGGFFFEEECCCBBBAAA@@@???>>>>>>======<<<;;;;;;<<<:::999999:::;;;999888:::999888777777666777777555555555444444444333333444444444444333222111111........................////////////////////////+++++++++,,,------......------------............------,,,,,,,,,,,,------........................---------............///---------............///////////////000000000000000000000000000000000000111111222333444666777888888:::<<>>:::333111...,,,,,,,,,+++*********))))))))))))(((((())))))))))))))))))))))))((())))))))))))***************+++++++++******)))))))))))))))))))))***************+++,,,,,,++++++++++++,,,,,,,,,++++++***++++++++++++++++++++++++)))******++++++,,,,,,---,,,,,,,,,+++++++++******...+++((())),,,---,,,***------,,,,,,+++++++++***............////////////..................///000333111222555999???MMMZZZkkkttt~~~|||uuuooojjjccc[[[VVVNNNKKKGGGBBB@@@@@@AAACCCBBBBBBCCCCCCDDDEEEEEEFFFIIIHHHGGGFFFDDDCCCBBBBBB?????????>>>======<<<<<<<<<:::999999::::::999888::::::999999888888888888777777777777666666666666444444444444444333222222000000////////////..............................,,,,,,,,,,,,------......,,,,,,------.........///------,,,,,,,,,,,,------........................---------............///---------............///////////////000000000000000000000000000000000000111111222333444666777888888:::===@@@CCCHHHNNNSSSXXX___hhhpppuuuzzzooo```\\\bbbrrrRRRPPPMMMKKKHHHEEE@@@===444111...---------,,,+++************))))))))))))))))))))))))))))))))))))((())))))))))))*********)))******+++++++++******))))))*********)))))))))***+++,,,,,,,,,,,,,,,,,,***++++++,,,,,,,,,++++++++++++++++++++++++++++++)))******++++++,,,,,,---,,,,,,,,,+++++++++******...+++((())),,,---,,,***+++++++++,,,,,,---------........./////////000000...............///000000222000111555<<>>======<<<;;;999:::;;;;;;:::888:::::::::::::::999999999888888777777777666666666444444555555555444333333111111111000000/////////------------------------,,,,,,------------......++++++,,,,,,------.........------,,,,,,------...........................---------............///---------............///.../////////000000000111000000000000000000000000111111222333444666777888:::<<<>>>@@@CCCHHHMMMQQQYYY```iiipppuuuzzz|||iii___```lllxxxRRRPPPMMMKKKIIIFFFBBB@@@666333000.........---,,,***+++,,,+++)))))))))+++************************)))))))))*********++++++))))))***++++++++++++***)))************)))(((((()))+++------,,,+++,,,---******+++,,,,,,,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,******++++++,,,---------,,,,,,,,,+++++++++******---,,,******,,,,,,,,,+++***+++,,,,,,---...///000....../////////000000000//////...//////000111222222000111888@@@KKKYYYffflllqqqwww~~~}}}}}}}}}|||zzzvvvooojjj[[[XXXRRRLLLFFFCCCBBBAAAAAAAAABBBCCCDDDDDDEEEEEEGGGGGGFFFFFFFFFEEEEEEEEECCCBBBBBBAAA@@@@@@??????===;;;::::::;;;<<<:::999999999::::::::::::999999666666666555555555444444444555555666555555444444333222222111111000000///------------------------------------------......,,,,,,,,,,,,,,,---------......------------..............................---------............///---------............///......//////000000111111000000000000000000000000111111222333444666777888;;;===???AAACCCHHHMMMQQQ[[[aaaiiippptttyyyvvvgggaaafffnnnSSSQQQNNNLLLJJJHHHEEEBBB:::777333000///...---++++++,,,...---***)))***,,,++++++++++++++++++++++++************+++++++++,,,))))))***+++++++++++++++)))******+++***)))((('''(((***,,,,,,******+++,,,)))***+++,,,,,,,,,,,,+++,,,,,,,,,,,,,,,,,,,,,,,,+++++++++,,,------......,,,,,,,,,+++++++++******,,,------,,,++++++,,,...---------....../////////.../////////000000000000/////////000000111333333333111444<<>>===;;;<<<======<<<:::888999::::::::::::999888666666666666555555555444555555666666666666555555444333333222111111000000..........................................------............------------......------------..............................---------............///---------............///.........///000111111111000000000000000000000000111111222333444666777888999;;;>>>AAADDDIIIOOOSSS\\\bbbiiiooosssxxxtttfffdddhhhyyyTTTRRROOOMMMLLLJJJGGGDDD===:::555222000...,,,***+++---///...+++)))+++---++++++++++++++++++++++++***++++++++++++,,,,,,,,,((()))***+++++++++++++++)))***+++++++++)))((('''&&&)))++++++)))((()))+++)))***+++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,------......///,,,,,,,,,+++++++++******,,,...///...+++***---000//////////////////......////////////000000000000000000000000111222333444555333666???JJJVVVcccooooooqqqvvvzzz{{{yyyyyyyyyzzzwwwxxx}}}}}}wwwssshhheee```YYYQQQKKKFFFCCCBBBBBBBBBCCCCCCCCCCCCCCCCCCDDDDDDEEEFFFFFFGGGGGGEEEEEEEEEDDDCCCCCCBBBBBB???===<<<<<<======<<<;;;777888999:::::::::999888888888888888777777777777555555666666666666666555444444333333222111000000////////////////////////..................------000000//////.........---......------------..............................---------.........//////---------.........//////---......///000111111222000000000000000000000000111111222333444666777888777:::===@@@EEEJJJQQQVVV]]]bbbiiiooosssxxx~~~~~~llleeefffoooVVVUUUSSSPPPMMMJJJGGGEEEBBB>>>777222///...---,,,...//////...,,,,,,---///...---,,,+++***************++++++,,,,,,++++++***)))))))))))))))******************)))))))))))))))++++++,,,,,,,,,,,,------++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------------------------......///////////////222111000//////000111222444555999CCCRRRaaannnuuusssxxx}}}|||zzzvvvttttttwww{{{~~~{{{zzznnnjjjccc]]]WWWRRRNNNKKKJJJHHHEEECCCBBBAAA???===EEEEEEFFFFFFGGGHHHHHHIIIHHHHHHFFFEEEDDDDDDDDDDDDBBBAAA@@@>>>===;;;:::999;;;:::::::::::::::::::::999999999999999888777777666555333222222333444555333333444444333333222111///////////////.........---...///000000///......------------------------+++++++++,,,,,,---------...------,,,,,,------...000000//////.........---////////////////////////000000000000////////////......///000111222222333111222333444666777888888:::<<<>>>AAAEEEJJJQQQVVV^^^bbbhhhnnnsssxxx}}}zzzjjjfffiiitttTTTSSSRRRPPPNNNKKKIIIHHHDDD???999444111000...---...//////---,,,+++---......---,,,+++***************++++++,,,,,,++++++***++++++++++++*********************************************+++++++++,,,,,,++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------------------------......///////////////111111000//////000222333333555;;;HHHYYYiiitttyyy{{{yyytttsssxxx}}}tttoooiiibbb]]]XXXSSSPPPPPPNNNJJJHHHFFFEEECCCAAABBBCCCCCCDDDEEEGGGHHHHHHHHHGGGFFFEEEEEEEEEEEEEEEDDDCCCBBB@@@>>>===;;;;;;;;;;;;;;;;;;::::::::::::777777888888777666666555777666444333222333444555555555555555555444333333000000000//////.........---...////////////...---------------------------,,,,,,,,,,,,,,,,,,------...------,,,,,,------...000/////////............////////////////////////000000000000//////////////////000000111111222222111111222444555666777888:::<<<>>>AAAEEEKKKRRRWWW___cccjjjoootttyyy~~~rrrkkkiiipppRRRRRRQQQPPPOOOMMMKKKJJJEEEAAA;;;666444222///...---......---+++***,,,---------,,,+++***************++++++,,,,,,++++++***------,,,,,,+++*********************************))))))*********+++++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++,,,,,,------------------------------------......///////////////111111000000000111333444444777@@@PPPdddttt|||yyyuuu|||{{{wwwqqqkkkfffaaa\\\YYYUUURRRNNNKKKIIIFFFDDDAAABBBBBBCCCDDDEEEGGGIIIJJJGGGGGGFFFFFFEEEFFFFFFFFFEEEDDDCCCBBB@@@???======<<<<<<<<<;;;;;;;;;::::::888888888888888777777666777777555444333444555555666666666777666555555444222222111000///......------......///......------------------------------------------,,,,,,,,,,,,...------,,,,,,------...////////////............////////////////////////////////////000000000000000000000000000111111111000111222333555666777777:::<<>>>>>======<<<<<<;;;;;;;;;::::::;;;;;;;;;;;;::::::888888666555555555555555666666777777666666555444444333222111000///.....................---------------------------------......------,,,,,,,,,+++...------,,,,,,------...///////////////.........////////////////////////////////////000000000000111111111000000000000000000111222333444666777777:::<<>>>>>===<<<;;;;;;;;;;;;<<<<<<<<<<<<;;;;;;999999888777666666555555666666666666666555444444555444444222111000////////////......------------------------------------.........------,,,,,,,,,...------,,,,,,------............///////////////////////////////////////.../////////000000000111111111111000000000000000000111222333555666777777:::<<<@@@DDDJJJQQQYYY^^^dddiiipppuuuyyy|||{{{tttsssUUUUUUTTTRRRQQQNNNLLLKKKHHHFFFBBB???;;;777222...---......---+++***,,,---,,,,,,++++++***++++++,,,***++++++,,,,,,++++++***+++*********)))(((((((((+++++++++,,,,,,------...++++++,,,,,,,,,---------++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++++++++,,,,,,------------------------------------......///////////////000000000111333555777888@@@KKK___vvv}}}~~~|||xxxuuummmjjjeee```\\\XXXTTTQQQNNNLLLJJJHHHHHHHHHIIIJJJIIIIIIHHHHHHGGGHHHHHHHHHFFFEEEDDDCCCBBBAAA@@@@@@AAA@@@??????>>>===<<<<<<999::::::;;;;;;;;;;;;;;;::::::999999888777666555666666666666666555555444555555444333222111111000111000///...............------------------------.........---------------...------,,,,,,------............///////////////////////////////////////......//////000000111111000000000000000111111111111222333444666777888888:::<<<@@@EEEKKKSSS[[[aaaggglllsssxxx|||~~~yyyttt~~~SSSSSSSSSSSSQQQPPPOOONNNKKKIIIFFFCCC???:::444000...//////---,,,+++---...,,,++++++***++++++,,,,,,***++++++,,,,,,++++++***************************++++++,,,,,,---.........***+++++++++,,,,,,,,,,,,++++++++++++++++++++++++------------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------------------------......///////////////000000000111333666888:::CCCRRRjjj~~~|||uuuqqqlllhhhddd```\\\YYYWWWTTTQQQMMMKKKKKKKKKLLLKKKJJJIIIHHHHHHHHHHHHHHHGGGGGGFFFEEEDDDCCCCCCBBBBBBAAA@@@???>>>===<<<<<<::::::;;;<<<<<<<<<<<<<<<;;;;;;::::::999777666555777777888888777777666555555444444444333333222222333222000///......//////------------------------------------...............------,,,,,,------.............../////////000////////////////////////.........///000111111111//////000000111111222222222333444555777888999999:::===AAAFFFLLLUUU]]]ccckkkpppwww|||xxxzzzQQQRRRRRRRRRRRRRRRQQQQQQMMMKKKIIIFFFBBB===777222...//////...,,,,,,---///+++++++++***++++++,,,,,,+++++++++,,,,,,+++++++++++++++++++++++++++,,,,,,++++++,,,,,,---...//////)))************+++++++++++++++++++++++++++++++++------------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---,,,,,,,,,,,,,,,,,,,,,---------------------------......///////////////000000111222444666999:::DDDVVVppp~~~~~~}}}xxxtttppplllhhheee___\\\XXXTTTQQQOOOOOOPPPLLLKKKJJJIIIHHHGGGGGGGGGIIIHHHHHHGGGFFFEEEDDDDDDBBBBBBAAA@@@???>>>===<<<<<<<<<===>>>??????>>>>>>;;;;;;;;;:::999888666555888999999999999888777777444444444444444444444444444333111000/////////000------------------------,,,---------.../////////...------,,,,,,------...---.........//////000000////////////////////////---......///000111111222...//////000111222222333333444555666777999:::::::::===AAAFFFMMMUUU^^^dddnnnssszzz|||www}}}TTTSSSRRRRRRRRRRRRPPPNNNMMMLLLJJJIIIFFFAAA;;;777000...+++***+++,,,++++++++++++,,,,,,,,,,,,------++++++++++++++++++++++++---,,,+++*********+++,,,++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,+++*********+++---///000---,,,,,,++++++,,,,,,------------,,,,,,+++++++++++++++++++++++++++++++++---------............///000111111111222222222222111///000111000111777@@@KKK```xxxwww{{{}}}xxxtttqqqoookkkgggbbb^^^[[[WWWSSSQQQPPPMMMIIIGGGFFFFFFFFFEEEHHHHHHHHHGGGGGGGGGGGGGGGEEEDDDCCCBBB@@@???>>>===AAA???>>><<<<<<<<<===>>>===<<<;;;:::999999999999999888888777777777777777777777666555555555555555333333222222111000000000------..........................................000///...---,,,------...------------------------000000//////.........------------...///000000111,,,------///000111222333666555444444555777:::;;;;;;>>>CCCIIIQQQ[[[dddjjjoootttzzz}}}~~~tttrrrxxxUUUTTTSSSSSSSSSSSSQQQOOONNNLLLKKKIIIFFFBBB<<<888222000---,,,,,,------,,,++++++,,,,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,---,,,+++*********++++++++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,...---,,,+++++++++,,,,,,---,,,,,,++++++,,,,,,------------,,,,,,,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,---------............///000000000111111111222222000///000222222444;;;DDDRRReeezzz~~~www|||~~~{{{zzzrrrooojjjeeeaaa]]]YYYVVVTTTQQQMMMJJJIIIIIIHHHGGGHHHHHHHHHHHHGGGGGGGGGGGGEEEEEEDDDBBBAAA@@@>>>>>><<<<<<<<<;;;<<<<<<=========<<<;;;:::999999999999999999888777777777777777777777666555555555555666444444333222111000000///................................................000///...---------......------------------------000/////////..................//////000111111222/////////000000111111111444333222222444666888:::===@@@EEELLLSSS\\\ffflllqqqvvv|||wwwooooooxxxXXXVVVUUUUUUUUUTTTRRRPPPOOOMMMKKKJJJGGGCCC>>>:::555333///............---++++++,,,,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,---,,,++++++******++++++++++++++++++++++++++++++++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,...---,,,+++++++++,,,,,,---,,,,,,++++++,,,,,,---------------,,,,,,,,,,,,---------------------------------............////////////000000000111111000///000333444777@@@III[[[lll~~~~~~vvvvvv{{{}}}}}}~~~}}}||||||~~~}}}zzztttoookkkfffaaa^^^ZZZVVVRRROOOMMMLLLKKKJJJIIIIIIHHHHHHHHHGGGGGGGGGFFFEEEDDDCCCBBBAAA@@@???>>>>>>???@@@AAAAAAAAAAAA===<<<;;;::::::::::::::::::999888888777777888888888777666666555555666666555555444333222111000///////////////////////////........................000///......------......------------------------////////////............//////000000111111222222111111111111111111111111444333222333444777999;;;???BBBHHHNNNVVV___hhhnnntttyyy~~~ppphhhkkksssZZZYYYWWWWWWWWWVVVTTTQQQPPPNNNLLLKKKIIIEEEAAA===888555111............---+++++++++,,,,,,,,,------------------------------,,,,,,++++++++++++***+++***+++++++++++++++,,,,,,++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,*********+++,,,---...///---,,,,,,++++++,,,,,,---------------------,,,,,,........................---------............///////////////000000000000111///000444666999CCCMMMbbbppp|||tttrrrtttyyyxxxnnnrrrxxx~~~|||{{{{{{zzz}}}~~~yyytttoooiiieee___\\\VVVRRRPPPNNNLLLKKKJJJJJJJJJIIIHHHHHHHHHGGGGGGFFFEEEDDDCCCBBBAAAAAA@@@AAABBBCCCCCCCCCBBBAAA======<<<;;;;;;;;;;;;;;;::::::999888888888888999888777777666555666666666777666555444333111111000000000000000000/////////........................//////..........................................///////////////........./////////000000111111111111111111111111222222222555555555555777:::===???@@@DDDJJJPPPXXX```iiinnnuuuzzzzzzjjjgggkkk}}}\\\ZZZYYYXXXXXXWWWTTTRRRQQQOOOMMMLLLJJJGGGCCC@@@:::666111...---------,,,+++++++++,,,,,,,,,------------------------------,,,,,,,,,,,,++++++***************++++++,,,,,,,,,++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,)))***+++,,,---.........---,,,,,,++++++,,,,,,---------------------------........................---------............///////////////000000000000222000111444777;;;EEEPPPdddqqq{{{sssrrrttttttwww|||uuuiiieeelllvvv}}}{{{zzzzzzzzz}}}~~~{{{vvvpppllleeeaaa[[[VVVSSSPPPNNNLLLLLLLLLLLLKKKJJJIIIIIIIIIHHHGGGGGGFFFEEEDDDCCCCCC???@@@@@@@@@???>>><<<;;;======<<<<<<;;;;;;<<<<<<;;;::::::999999999999999888888777666666666666666777777666555444333222222222222111111111000000000..............................//////////////////.................................///////////////......///////////////000//////000111222333444444555555555666888;;;>>>@@@AAAEEEKKKRRRYYYaaaiiinnnuuuzzzsssjjjjjjttt]]][[[ZZZYYYYYYXXXUUUSSSRRRPPPNNNLLLKKKIIIFFFCCC===999333///---------,,,++++++,,,,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,+++,,,,,,,,,,,,+++***)))*********++++++,,,,,,---++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------,,,+++***---,,,,,,++++++,,,,,,---------------....................................---------............////////////000000000111111222000222666:::???KKKVVVeeeppp{{{zzzrrrpppuuu{{{yyyzzz{{{}}}~~~uuujjjcccdddkkkuuu~~~~~~}}}|||{{{zzzzzz|||~~~~~~xxxtttmmmiiibbb\\\XXXUUURRROOOOOOOOONNNMMMLLLKKKKKKJJJHHHHHHHHHGGGFFFEEEEEEEEECCCCCCBBBBBB@@@>>>===<<<>>>======<<<<<<<<<======<<<;;;::::::999999::::::999888777777666666777777777777666666555444444444333333333222222111111000..............................///000000000//////.................................///////////////............////////////---...///000222333444444333333333444777:::>>>@@@BBBGGGMMMTTT[[[bbbjjjnnnuuuyyyppplllmmm{{{]]]\\\ZZZYYYYYYWWWUUURRRSSSQQQOOOMMMLLLKKKHHHFFF@@@;;;555000............++++++,,,,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,,,,,,,+++***))))))******+++,,,,,,------++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,---------,,,+++***---,,,,,,++++++,,,,,,---------------.........///---------------------------------............///000000000111111111222222111000222888>>>FFFSSS___eeennnwww|||xxxpppmmmqqq{{{~~~|||{{{|||}}}}}}~~~{{{rrrhhhcccccchhhmmmuuu|||~~~~~~}}}||||||||||||zzz|||~~~~~~~~~~~~}}}vvvqqqkkkddd___[[[XXXUUUQQQQQQPPPOOONNNMMMLLLLLLIIIIIIHHHHHHGGGGGGFFFFFFGGGFFFEEEDDDCCCBBBBBBBBB>>>===============>>>>>><<<<<<;;;:::::::::::::::999888777777666666777777666666666666666666666666444444444333222222111111........................---...///000111000000///..................................../////////000////////////////////////......///000000111222222333333333444777;;;???AAAEEEIIIPPPWWW]]]eeelllpppuuuzzzxxxoookkkxxx^^^\\\ZZZYYYYYYWWWUUURRRTTTRRROOONNNMMMKKKIIIGGGCCC>>>777222000/////////++++++,,,,,,,,,---------++++++++++++++++++++++++++++++,,,---,,,+++***)))))))))***+++,,,,,,------++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,((()))+++---.........------,,,,,,++++++,,,,,,------------.........//////---------------------------------.........//////111111111111222222222222//////333:::AAAKKKYYYffffffmmmtttwww{{{|||vvvwww}}}zzzqqqkkkkkksss|||zzzzzz{{{|||ttttttsssooofff``````dddkkkooouuu{{{}}}|||{{{{{{}}}~~~}}}}}}}}}}}}}}}xxxzzz|||}}}||||||}}}~~~}}}xxxqqqjjjeee```\\\ZZZSSSRRRRRRQQQOOONNNMMMMMMIIIIIIIIIHHHHHHGGGGGGGGGDDDDDDBBBAAAAAABBBCCCDDD>>>>>>============>>>???<<<<<<;;;::::::::::::;;;999888888777777777777777666666666666777777777777555555444333333222111111........................---...///111111111000///////////////////////////---.........//////000000111111111000000000000000//////////////////000000444444555777:::>>>AAADDDGGGKKKRRRYYY```gggmmmrrrvvv{{{ssskkkvvv\\\\\\[[[YYYXXXVVVUUUUUUTTTSSSRRRPPPNNNKKKHHHGGGCCC@@@;;;555111............---,,,,,,++++++,,,,,,++++++++++++++++++++++++......---,,,,,,+++*********+++,,,,,,,,,,,,+++***,,,+++*********+++,,,---,,,,,,,,,,,,,,,,,,,,,,,,...------,,,,,,------...,,,++++++******++++++,,,...---,,,+++++++++++++++---------,,,,,,+++++++++---------.........//////......//////000000111111333444777>>>IIIWWWdddllllllooosssvvvyyy|||{{{vvvsssuuu}}}{{{tttmmmkkknnnwww}}}{{{xxxuuutttllleee```^^^^^^dddkkkqqqssswwwzzz|||}}}}}}}}}{{{{{{|||}}}~~~~~~}}}}}}~~~||||||{{{xxxxxxyyyzzz{{{|||~~~~~~zzzsssmmmhhheeeccc]]]ZZZWWWTTTQQQOOOKKKHHHKKKKKKJJJIIIHHHGGGFFFEEECCCEEEFFFHHHHHHFFFEEECCCAAA@@@@@@@@@@@@@@@@@@@@@<<<;;;;;;;;;;;;;;;;;;::::::::::::999999999888888888888777666666666666666888777777666555444444444111111000000/////////......222...000<<<<<<444444......//////////////////............////////////000000000000000000000000111111111111111222222222333222444999;;;<<>>>>>======<<<<<<<<<<<<999999999999888888888888888888777666666666666777888777777666666555555444222222111111111111000000***...111AAAWWWTTT<<<---....................................////////////////////////////////////000000111111111222222222444333555999;;;<<>>>>>======<<<<<<;;;;;;:::999999999888888888888999888777777666666777777777777777777666666555555333333222222222222222222111111---666IIIIII888///............------------............////////////////////////////////////000000000111222222333333555444555:::<<<===CCCJJJSSSYYYaaagggkkkqqqxxx}}}~~~~~~[[[[[[ZZZYYYXXXWWWWWWVVVUUUTTTTTTRRRPPPNNNLLLKKKIIIGGGDDD???:::555111...///...------,,,,,,------++++++++++++++++++++++++------,,,,,,,,,,,,++++++,,,+++)))(((((()))+++,,,++++++,,,,,,------------+++++++++,,,,,,---------...------,,,,,,------...---,,,,,,,,,,,,,,,,,,---//////............//////------------------------........./////////000000//////000111222333444444;;;<<>>>>>>>>===<<<;;;;;;:::::::::::::::999999999888999999888777777777777777777777777777777666666666333333444444444444444444666666......999888000000//////.........---------............///////////////////////////////////////000000111222222333333666444666:::===@@@FFFMMMWWW]]]dddjjjoootttzzz[[[ZZZZZZYYYXXXXXXWWWWWWUUUTTTTTTRRRPPPNNNMMMLLLIIIHHHEEEBBB===777222//////......---------------------------------------,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,+++******+++,,,,,,++++++,,,---------------***++++++,,,,,,------......------,,,,,,------...------,,,,,,,,,,,,---------------,,,------...///------------................../////////000000000//////000222333444555666<<>>===<<<;;;;;;;;;;;;;;;;;;::::::::::::999999888777777777777888777777777777777777777777444444555555555555666666444999444111666222+++///000000000///......------............//////////////////////////////////////////000111222333333444777555777<<>>>>>=========<<<<<<<<<;;;;;;;;;:::999888888777777888888777777777777777777777777555555555666666777777777111888555333777333---222222111111000//////..................////////////000000000000000000000000...///000111222333444444777555777===AAAFFFNNNWWWaaafffmmmrrrvvvzzzZZZZZZYYYYYYXXXXXXWWWWWWWWWWWWVVVUUUSSSQQQPPPOOOJJJJJJIIIGGGBBB===888444//////...------------...++++++++++++++++++++++++,,,,,,,,,,,,,,,,,,,,,,,,,,,------......------,,,+++,,,---.........---,,,******+++,,,,,,---.........------,,,,,,------......------,,,,,,------...------------......///000---------.........//////////////////000000000000///000111222444555666777;;;III```{{{|||}}}}}}kkkiiiqqqyyy~~~~~~}}}|||yyyxxxvvvuuuuuuvvvvvvvvvxxxzzz~~~~~~~~~~~~~~~{{{{{{zzzyyyxxxxxxxxxxxxyyyzzz}}}~~~yyyuuupppkkkhhh```___\\\YYYUUUQQQNNNLLLKKKKKKJJJJJJJJJJJJKKKKKKHHHGGGGGGGGGGGGGGGGGGGGGEEEDDDDDDCCCAAA@@@??????>>>============<<<<<<<<<:::999888888777888888888777777777777777888888888555555666666777777888888222666222000666555222777333222222111000//////.............../////////000111111111111111111111111...///000111222333444444777666888>>>CCCHHHQQQYYYdddiiipppuuuyyy}}}\\\[[[YYYWWWVVVVVVUUUUUUXXXWWWVVVTTTRRRQQQOOOOOOJJJIIIHHHFFFDDD???888333222000...---------,,,+++******+++,,,,,,---......,,,,,,,,,,,,,,,,,,,,,,,,***+++,,,------,,,***)))***++++++,,,,,,++++++***,,,,,,---------------------,,,++++++++++++,,,---+++,,,------......---------------............//////......------///000111000000000000////////////222//////222333333666;;;CCCNNNbbb|||~~~yyylllooovvvvvvwww|||yyyxxxwwwvvvvvvvvvwwwxxxxxxzzz|||}}}~~~}}}|||{{{{{{{{{{{{{{{{{{{{{||||||||||||yyy|||~~~yyysssoooiiigggeeeaaa]]]YYYVVVUUUQQQOOOLLLKKKKKKKKKJJJHHHGGGHHHIIIJJJIIIHHHFFFDDDEEEEEEDDDCCCBBBAAA@@@@@@>>>>>>???>>>>>>===<<<<<<;;;;;;::::::999888888777777777777777777777777777666555444444555777:::;;;666666555555555444444444111111111000000000000000111000///...............111111111000000000000000///111333333222222333444222555:::===BBBIIISSSZZZgggllltttyyy|||wwwwww}}}[[[[[[ZZZYYYXXXXXXWWWVVVWWWVVVUUUSSSQQQPPPNNNNNNKKKJJJIIIGGGEEE@@@:::555222000...---......---,,,------,,,,,,,,,,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,+++++++++,,,,,,++++++***++++++,,,,,,,,,,,,++++++000///...---,,,++++++***...---,,,++++++,,,---...+++,,,------......---------------............//////......---...///000111000000000000////////////333000111444555444777<<>>===<<<<<<;;;;;;;;;:::999999888888888888888888888888888888666666555555666777999999666666555555555444444444222222111111111000000000000000///.........//////111000000000000000000000///111333333222222333444444777;;;???DDDLLLVVV^^^jjjpppwww}}}uuuppprrrZZZZZZ[[[[[[[[[ZZZXXXWWWVVVUUUTTTRRRQQQOOONNNMMMLLLKKKJJJIIIFFFBBB<<<888222000...---.........---//////...---+++***)))))),,,,,,,,,,,,,,,,,,,,,,,,,,,++++++***++++++,,,,,,,,,,,,------------,,,,,,//////...---,,,++++++***......------------......,,,,,,---............------------............//////............///000000////////////000000000000333222333666777666999>>>JJJWWWjjj}}}}}}rrrlllssszzzyyyxxxzzzvvvvvvuuuuuuvvvwwwxxxyyyzzz|||~~~}}}|||{{{{{{}}}}}}}}}|||||||||||||||zzz|||~~~zzzxxxvvvrrrmmmhhheeeccc]]]ZZZVVVSSSQQQNNNLLLIIIJJJJJJJJJKKKJJJIIIHHHHHHHHHHHHGGGFFFEEEDDDCCCCCCBBBBBBAAAAAA???>>><<<<<<<<<<<<;;;;;;:::999999999888888888888888888888888777777777777777777777777666666666555555555555444444333333222111000000/////////.........///000000000000000000000000111111///111333333222222444555777:::>>>AAAFFFOOOZZZbbbnnnttt|||zzzooolllyyyWWWYYYZZZ[[[[[[ZZZXXXWWWVVVUUUTTTSSSQQQPPPOOONNNNNNLLLKKKJJJHHHDDD???;;;333111...---...//////...///......---+++******))),,,,,,,,,,,,,,,,,,,,,,,,,,,+++***)))***+++,,,---,,,------......------,,,+++,,,,,,------.................................,,,------...............---------............///............/////////000////////////000000000000222111444777777666:::@@@PPP]]]ooo}}}~~~}}}xxxrrrmmmmmmuuu{{{zzzxxxxxxttttttttttttuuuwwwyyyzzz{{{}}}}}}||||||{{{|||||||||{{{{{{zzzzzzzzzyyyzzz|||||||||}}}~~~zzzvvvqqqllljjjeeeaaa]]]YYYUUURRRNNNLLLNNNMMMMMMLLLLLLKKKKKKKKKJJJJJJIIIHHHGGGFFFEEEEEEDDDDDDDDDBBBAAA???===<<<======<<<<<<;;;::::::999999999999999999999999999777888888888888777666555666666666555555555555555666555444333222111000//////.........///000111111000000000000000111111111000111333333222333555777999;;;???CCCHHHRRR^^^gggrrrxxxxxxooouuuVVVWWWYYYZZZZZZYYYWWWVVVVVVVVVUUUTTTRRRQQQPPPPPPOOOMMMLLLJJJIIIFFFAAA>>>666333///---...//////...,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++***)))***+++---...,,,------......------,,,++++++,,,,,,---...//////........................,,,---......//////......---------............///---......///////////////.../////////000000000111000000333666555555<<>>>>>>>>======<<<;;;;;;;;;999999999999999999999999888999999999888777666555666666666666666666666666777666555444333222111000///////////////000111222//////000000111111111111000111222222222333666888888<<<@@@EEEKKKUUUaaaiiitttyyytttpppzzzWWWXXXYYYYYYYYYWWWVVVUUUVVVVVVUUUTTTSSSRRRQQQQQQOOOMMMLLLJJJIIIGGGCCC@@@999555111...............******+++,,,,,,---......,,,,,,,,,,,,,,,,,,,,,,,,************+++,,,------,,,,,,------------,,,,,,......---------,,,,,,,,,------............------------...////////////...---------............///---......///000/////////......//////000000111111///000222444444666???JJJZZZeeeqqqxxx|||~~~xxxwwwyyyxxxzzz}}}|||yyyzzz~~~}}}pppiiigggjjjoootttvvvvvvuuuuuussssssrrrssstttvvvxxxyyy{{{~~~~~~}}}||||||zzzzzzyyyxxxwwwvvvuuutttuuuwwwyyyzzzzzzzzz|||~~~~~~zzzwwwuuurrrmmmhhhdddaaa]]]ZZZTTTRRROOOLLLJJJJJJJJJKKKLLLLLLKKKJJJIIIHHHGGGGGGGGGGGGFFFFFFDDDCCCAAAAAA??????>>>>>>===<<<<<<;;;::::::::::::::::::::::::999999999888888777777777555666666666666777777777777666666555444333333222000000/////////000111111/////////000111111222222111222222222222444777999888===CCCHHHOOOYYYdddllluuuzzzvvvkkkrrr[[[ZZZZZZYYYXXXWWWVVVVVVUUUUUUTTTSSSRRRQQQQQQPPPOOOMMMKKKJJJIIIGGGDDDAAA;;;777222...------------******+++,,,,,,---......,,,,,,,,,,,,,,,,,,,,,,,,))))))***+++,,,,,,,,,,,,++++++,,,,,,,,,,,,++++++...------------,,,,,,,,,+++,,,---......---,,,+++------...///////////////---------............///------///000000000///............///000111111111000000222444444777CCCPPP^^^fffooouuuzzz|||xxxwwwxxxwwwxxx{{{{{{xxxzzz~~~{{{mmmffffffgggkkkppprrrsssssstttsssssssssrrrrrrsssuuuvvvxxxzzz~~~}}}||||||{{{{{{zzzxxxwwwuuuttttttuuuwwwzzz|||||||||}}}~~~~~~~~~}}}zzzuuuqqqnnnjjjgggddd]]]ZZZUUUQQQNNNMMMNNNNNNLLLLLLKKKJJJIIIHHHGGGGGGGGGGGGGGGGGGFFFEEEDDDCCC@@@??????>>>>>>===<<<<<<;;;;;;;;;;;;;;;;;;;;;;;;:::999888777777777888999555666666666777777777777666666666555555555444444111111000000///000000000...//////000111111222222111222222222222444777:::999>>>FFFMMMTTT]]]gggnnnvvv{{{}}}mmmqqqxxx]]]]]][[[YYYXXXWWWWWWWWWTTTTTTSSSRRRQQQPPPPPPOOOOOOMMMKKKJJJIIIGGGDDDBBB===999333///---------,,,+++++++++,,,,,,---------,,,,,,,,,,,,,,,,,,,,,,,,((()))+++,,,------,,,,,,***++++++,,,,,,++++++*********+++,,,---//////000++++++,,,------,,,++++++---......///////////////---------.........//////,,,---///000000000///...---......///000111111222111111222444444999GGGUUU```fffnnnsssxxx~~~{{{{{{yyywwwxxx{{{zzzxxx{{{~~~pppaaa^^^bbbggglllpppqqqpppqqqsssssstttsssrrrrrrssstttvvvwwwyyy}}}}}}||||||||||||{{{yyywwwvvvuuutttuuuxxx|||~~~~~~}}}~~~~~~}}}~~~zzzvvvtttqqqmmmkkkeeeaaa\\\WWWTTTSSSSSSTTTLLLLLLKKKJJJIIIHHHGGGGGGGGGGGGGGGGGGGGGFFFEEEDDD@@@@@@??????>>>=========;;;;;;;;;;;;;;;;;;;;;;;;:::999777666666777999;;;555666666666777777888888666666666666666555555555222222111000//////000000...//////000111222222222111222222222222444888;;;999???HHHPPPWWW```iiipppwww|||ssstttwwwbbb___ZZZWWWYYY[[[YYYVVVTTTSSSRRRPPPOOOOOONNNNNNRRRPPPMMMKKKIIIGGGDDDBBB>>>;;;777222///---------------------------------++++++++++++++++++++++++***++++++,,,,,,++++++***++++++,,,,,,,,,,,,------...---,,,,,,......---,,,,,,,,,,,,,,,,,,,,,,,,,,,........................,,,,,,,,,,,,,,,,,,,,,,,,---......///////////////............/////////000444333333555777<<>>>>>;;;;;;:::999999999::::::999999:::;;;:::999888777:::999888666666666777888777666666666555555555555444444444333222111//////111111222222222333333333222333444444444555777999===BBBKKKUUU^^^gggoootttuuuyyysssllluuuddd```ZZZWWWXXXZZZXXXUUUYYYXXXVVVTTTSSSRRRQQQQQQRRRPPPMMMKKKJJJHHHFFFDDD@@@===888444000///...///------------------------------------------------++++++,,,,,,,,,,,,++++++++++++,,,,,,,,,,,,------...---,,,,,,......---,,,,,,,,,,,,,,,,,,,,,,,,,,,........................---------------------------......///////////////........./////////000000111000222444777>>>LLLZZZiiilllqqqtttwwwyyy}}}~~~|||||||||vvvoooddd[[[[[[___iiillloooqqqqqqpppppppppoooqqqsssssssssssstttuuu{{{~~~{{{zzzyyyzzzyyyyyyxxxwwwwwwvvvvvvyyyyyyyyyzzz{{{}}}~~~|||}}}{{{yyywwwtttnnnhhhbbb]]]ZZZYYYUUUSSSQQQPPPOOONNNLLLJJJJJJJJJIIIHHHGGGFFFEEEDDDCCCCCCBBBAAA@@@???>>>>>><<<;;;;;;:::::::::::::::999::::::;;;:::999888777:::999888777666777777888777777666666666555555555666666555555444222111000111111222222222333333333222333444444444555888:::@@@EEENNNWWW___gggooosssvvvzzz{{{ppptttkkkcccZZZWWWXXXYYYXXXVVV\\\[[[YYYWWWUUUSSSRRRRRRPPPOOOLLLKKKKKKJJJHHHFFFAAA???;;;666333111000000------------------------------------------------++++++,,,,,,,,,,,,++++++++++++,,,,,,,,,,,,------...---,,,,,,......---,,,,,,,,,,,,,,,,,,,,,,,,,,,................................................---......///////////////....../////////000000000111000222666:::BBBRRR```lllpppuuuyyy{{{}}}~~~yyy|||}}}}}}}}}ssshhh]]]WWW\\\eeekkknnnpppqqqpppooooooooonnnpppssstttssstttuuuvvv{{{}}}{{{{{{yyyyyyxxxxxxwwwvvvvvvvvvxxxxxxxxxyyyyyy{{{||||||~~~|||wwwqqqjjjeee```^^^[[[XXXUUURRRQQQPPPOOOMMMMMMLLLKKKKKKJJJIIIHHHHHHDDDDDDCCCBBBAAA@@@??????======<<<;;;;;;;;;;;;;;;::::::;;;;;;::::::999888:::999999888888888888999777777777777666666666666777777777666555444333222111111222222222222333333222333444555555666999<<>>===<<<<<<<<<<<<<<<;;;;;;;;;;;;;;;::::::999:::::::::999999999999:::888888888777777777666666777777777777666555444333222222222222222333333333333444555555555888;;;>>>DDDIIIRRR\\\dddkkkqqquuuxxx{{{wwwyyytttccc]]]\\\[[[ZZZ[[[ZZZYYYWWWTTTRRRPPPOOOOOOMMMKKKJJJJJJKKKKKKIIIHHHBBB@@@===888444111000///........................++++++++++++++++++++++++,,,,,,,,,------,,,,,,,,,+++++++++,,,,,,,,,------...---,,,,,,......---,,,+++++++++,,,,,,---------........................---------------------------......///////////////////////////000000000111777666777:::???HHHXXXhhhsssyyy~~~wwwhhh]]]YYY```iiinnnooopppooommmlllnnnoooqqqtttwwwxxxyyyzzz{{{}}}|||{{{zzzyyyyyyxxxxxxwwwvvvvvvvvvvvvvvvuuuvvvvvvwwwxxxxxx~~~zzzuuuqqqnnnhhhddd___[[[XXXVVVTTTSSSOOOOOONNNLLLKKKJJJIIIHHHGGGGGGFFFEEEDDDCCCBBBBBBAAA@@@???>>>============<<<<<<<<<;;;;;;;;;;;;;;;:::::::::;;;;;;;;;;;;:::999888888888888777777777666777777666666555444333444444444333333333333333333444555555666999===AAADDDJJJTTT]]]fffmmmssswwwxxx{{{~~~zzz~~~~~~iiiaaa___[[[ZZZ]]][[[ZZZXXXUUUSSSRRRQQQQQQNNNLLLKKKKKKKKKKKKJJJHHHCCCAAA>>>:::666222000///........................------------------------,,,,,,------------,,,,,,++++++,,,,,,,,,,,,------...---,,,,,,......---,,,***++++++,,,,,,------...........................---------------------------......////////////////////////000000000111111555555777<<>>>>>>>>>>>>>>===<<<;;;;;;;;;;;;<<<:::;;;;;;<<<<<<<<<<<<;;;999999999999888888888777666777777777666666555444666666555555555555444444444555555666777:::???CCCGGGNNNWWWaaaiiioootttwwwxxxzzz}}}~~~|||lllccc```[[[YYY]]]ZZZYYYWWWUUUTTTSSSRRRRRRPPPOOOMMMMMMMMMMMMLLLJJJEEECCC@@@<<<888444111000........................------------------------,,,,,,------------,,,,,,++++++,,,,,,,,,,,,------...---,,,,,,......---,,,******+++,,,,,,---......................................................---....../////////////////////000000000111111111333444888AAAKKKZZZppp{{{{{{|||rrrccc___```eeejjjmmmmmmllljjjiiijjjmmmooorrruuuxxxzzz{{{}}}~~~}}}|||{{{{{{zzzzzzyyyxxxxxxxxxssssssttttttvvvwwwyyyyyyyyyzzz|||~~~{{{xxxtttooolllhhhccc```YYYXXXVVVTTTQQQNNNLLLKKKIIIIIIHHHGGGFFFEEEDDDDDDDDDCCCBBB@@@??????>>>>>>>>>>>><<<;;;;;;;;;<<<===:::;;;<<<===>>>======<<<::::::999999999888888888888888888888888777777666888777777777666666666555444555555666777;;;AAAEEENNNTTT]]]ffflllqqquuuwwwxxxyyy||||||nnnddd```ZZZXXX\\\XXXWWWUUUTTTSSSRRRRRRRRRSSSQQQOOOOOOOOOOOOMMMLLLFFFEEEBBB>>>:::666333111////////////////////////++++++++++++++++++++++++,,,------......------,,,++++++,,,,,,,,,---------...---,,,,,,......---,,,******+++,,,,,,---..............................000000000000000000000000---......///////////////000000000000111111111111333444;;;FFFTTTfff~~~|||||||||~~~mmm^^^\\\aaagggllllllkkkjjjiiihhhiiimmmpppqqqtttxxxzzz{{{}}}~~~}}}|||{{{{{{zzzzzzyyyyyyxxxrrrsssssstttvvvxxxyyyzzzxxxyyy{{{}}}|||xxxtttoooiiifff^^^]]][[[XXXTTTQQQOOONNNJJJIIIIIIHHHGGGFFFEEEEEEEEEDDDBBBAAA@@@????????????>>>===;;;;;;<<<<<<===:::;;;===>>>>>>>>>===<<<:::::::::999999999888888999999:::::::::999888888999999888888777777666666555555666666888<<>>===<<<<<<===>>>??????????????????@@@@@@@@@<<<;;;::::::999999::::::===<<<:::999999999::::::;;;:::999999888999999999666555666999:::===EEEOOOYYY___hhhmmmoooqqqtttvvv{{{||||||~~~xxx|||nnn^^^ZZZ[[[[[[ZZZ\\\[[[ZZZYYYXXXWWWWWWWWWUUUTTTQQQOOOMMMMMMMMMMMMKKKHHHDDD@@@===999444000000000///..................------------,,,,,,,,,---,,,,,,++++++,,,,,,---,,,,,,------------------------,,,,,,,,,---......,,,,,,,,,,,,,,,,,,,,,,,,...------,,,,,,,,,,,,---//////............//////000000////////////000000...///111222333333333333888888???RRRiii{{{|||}}}}}}qqq\\\XXXZZZ\\\aaahhhjjjjjjiiihhhiiikkkmmmnnnnnnpppsssvvvyyy}}}}}}|||{{{~~~|||zzzzzzzzzyyywwwuuusssssssssssstttuuuwwwwwwyyy{{{}}}~~~~~~}}}~~~}}}yyyvvvooolllfff```ZZZUUUQQQPPPNNNLLLJJJJJJJJJJJJHHHFFFFFFEEEEEEDDDDDDCCCCCCBBB@@@???>>>>>>>>>???@@@@@@????????????????????????===<<<<<<;;;;;;;;;;;;;;;;;;:::999888777888888999999999888777777777777777777666888;;;===@@@IIIRRR]]]ccckkkppprrrtttwwwzzz||||||}}}~~~kkk]]]ZZZ[[[\\\[[[\\\\\\[[[[[[[[[[[[[[[[[[XXXVVVSSSPPPNNNMMMLLLLLLKKKIIIEEEAAA>>>:::555111000000///..................------------,,,,,,,,,---,,,,,,++++++,,,,,,---------------------,,,,,,......---,,,,,,,,,------,,,,,,,,,,,,,,,,,,,,,,,,------........................///////////////...000000////////////000000///000111333444555555555888;;;FFFZZZppp|||{{{}}}}}}|||~~~tttcccTTTSSSWWWZZZ___eeeffffffggghhhjjjkkklllmmmnnnqqqtttwwwzzz~~~~~~||||||~~~|||zzzyyyyyyxxxvvvtttpppqqqssstttuuuvvvvvvvvvwwwyyy{{{||||||}}}~~~~~~~~~~~~~~~~~~}}}}}}~~~|||yyyuuupppiiibbb]]]XXXVVVQQQOOOLLLKKKLLLLLLKKKJJJGGGFFFFFFEEEDDDDDDCCCCCCAAAAAA@@@@@@@@@@@@AAAAAA????????????????????????>>>>>>===<<<<<<<<<<<<<<<;;;;;;:::999999999999::::::999888888777777888888999888:::===@@@CCCMMMWWWbbbgggnnnsssuuuwww{{{~~~}}}~~~~~~iii[[[WWWZZZ\\\]]]]]]]]]]]]]]]]]]\\\[[[[[[ZZZYYYUUURRROOOMMMLLLLLLLLLJJJFFFCCC???;;;777333000000///...............000////////////.........---,,,,,,++++++,,,,,,---.........------,,,,,,,,,///...---,,,,,,,,,,,,,,,------------------------,,,---...000000000///...------///000000000///...000000////////////000000///000111222333444555555:::>>>KKK___qqq}}}}}}|||}}}|||cccXXXPPPQQQVVVYYY^^^cccbbbcccfffiiikkkllllllllloooqqqtttxxx{{{~~~~~~|||zzzyyyyyyxxxuuutttoooppprrrtttuuuuuuuuutttsssuuuxxxyyyzzzzzz|||}}}}}}~~~}}}}}}}}}}}}}}}}}}||||||{{{|||}}}~~~zzzsssllleeeaaa^^^WWWTTTPPPNNNNNNNNNNNNMMMHHHHHHGGGFFFFFFEEEDDDDDDBBBBBBBBBAAAAAAAAAAAAAAA???????????????>>>>>>>>>>>>>>>===<<<<<<<<<<<<===========================<<<<<<;;;:::::::::::::::999888;;;???BBBFFFOOOZZZdddiiiooosssuuuwww{{{~~~|||gggWWWRRRUUUYYY[[[^^^^^^^^^^^^]]][[[ZZZYYY[[[YYYVVVSSSQQQOOONNNNNNMMMKKKGGGDDDAAA===888555000000///...............000////////////.........---,,,,,,++++++,,,,,,---.........------,,,,,,,,,///...---,,,,,,,,,,,,,,,------------------------,,,---///000111000//////,,,---///000000000///...000000////////////000000...//////111222444555666;;;AAAOOObbbqqq|||~~~zzzzzz~~~xxxeeeXXXTTTQQQTTTXXX[[[___bbb```bbbeeeiiikkklllmmmlllooorrruuuyyy}}}}}}zzzyyyyyyxxxuuusssoooppprrrtttttttttssssssppprrruuuvvvvvvwwwxxxzzzzzz|||||||||||||||||||||||||||{{{{{{|||~~~|||uuuooojjjggg^^^[[[VVVSSSRRRQQQPPPOOOKKKJJJJJJIIIGGGFFFFFFEEECCCCCCCCCCCCBBBBBBAAAAAAAAA@@@@@@@@@?????????>>>>>>======<<<<<<<<<<<<<<<>>>>>>>>>?????????>>>>>>===<<<<<<;;;;;;;;;;;;;;;999999;;;???BBBGGGPPP[[[bbbhhhooossstttvvvzzz}}}yyyeeeVVVPPPQQQUUUXXX^^^^^^^^^^^^]]][[[YYYXXX[[[YYYWWWTTTRRRQQQQQQQQQNNNKKKHHHEEEBBB>>>:::777000000///..................------------,,,,,,,,,---,,,,,,++++++,,,,,,---------------------,,,,,,......---,,,,,,,,,---------------------------------...//////////////////,,,---...///000000000000000000////////////000000......///000222444555666;;;CCCSSSeeeqqqzzz}}}wwwwww{{{jjjZZZQQQQQQSSSVVVYYY]]]aaacccaaabbbeeeiiikkklllmmmmmmppprrrvvvzzz~~~~~~|||zzzzzzxxxvvvtttqqqrrrrrrssssssrrrrrrqqqoooqqqsssttttttuuuvvvwwwxxxzzz}}}~~~~~~||||||||||||}}}}}}}}}}}}||||||}}}~~~~~~xxxsssqqqhhheee```[[[XXXVVVSSSQQQNNNMMMLLLKKKJJJIIIHHHGGGEEEEEEEEEEEEEEEDDDCCCBBBBBBBBBBBBAAA@@@@@@??????>>>>>>===<<<<<<<<<<<<<<<<<<===>>>>>>???>>>>>>>>><<<;;;::::::999999:::::::::999<<<@@@CCCGGGQQQ[[[aaahhhoootttvvvvvvyyy{{{~~~xxxhhh[[[UUUTTTVVVWWW\\\]]]^^^___^^^]]][[[ZZZYYYXXXVVVUUUTTTTTTTTTUUUOOOLLLIIIFFFCCC@@@;;;888000000///..................------------,,,,,,,,,---,,,,,,++++++,,,,,,---,,,,,,------------------------,,,,,,,,,---..............................//////......---.........---------......///000111000000////////////000000//////000111222555777888===FFFUUUfffqqqwwwxxxwww{{{ppp___UUUJJJNNNRRRVVVYYY^^^bbbeeecccdddfffhhhkkklllnnnnnnpppssswww{{{}}}{{{{{{yyywwwuuutttsssrrrqqqppppppppppppppprrrtttuuuttttttuuuvvvuuuxxx{{{}}}}}}~~~~~~}}}}}}}}}}}}~~~~~~~~~}}}~~~~~~}}}zzzsssooojjjeee```[[[VVVSSSPPPPPPOOONNNLLLKKKJJJIIIHHHHHHIIIIIIHHHGGGEEEDDDDDDDDDCCCBBBBBBAAA@@@@@@??????>>>============>>><<<===>>>@@@@@@@@@???>>><<<;;;;;;:::::::::::::::<<<;;;===AAADDDHHHQQQ[[[bbbiiirrrxxxyyyyyyyyyzzz~~~yyylllbbb\\\ZZZZZZYYY[[[\\\^^^``````___^^^]]]XXXWWWVVVUUUUUUUUUVVVWWWOOOMMMIIIFFFDDD@@@<<<999000000///...............000000/////////.........---,,,,,,++++++,,,,,,---,,,,,,,,,------.........,,,,,,,,,,,,------...///........................111///...,,,,,,,,,---.........------...///111222000000////////////000000111111111222333666888:::@@@HHHWWWfffooossszzz{{{zzz|||}}}~~~{{{pppaaaUUUOOODDDJJJQQQUUUYYY^^^cccfffdddeeefffhhhjjjlllnnnooopppssswww{{{~~~|||{{{zzzwwwuuuvvvtttrrrpppoooooooooppprrrtttvvvvvvuuuuuuuuuvvvtttvvvzzz||||||}}}~~~{{{|||}}}~~~~~~~~~~~~}}}}}}~~~~~~~~~zzzvvvqqqkkkfff___YYYTTTRRRQQQPPPOOOMMMLLLKKKJJJKKKKKKLLLLLLKKKIIIHHHFFFEEEEEEDDDCCCBBBBBBAAAAAAAAA@@@@@@???>>>????????????@@@AAABBBCCCBBBBBBAAA>>>>>>===<<<<<<<<<<<<===>>>===???CCCEEEIIIRRR\\\ccckkkuuu{{{|||{{{{{{{{{~~~~~~yyypppeee\\\XXXZZZ^^^^^^[[[[[[___^^^YYY[[[YYYWWWVVVVVVUUUSSSQQQNNNLLLIIIGGGEEEBBB>>>;;;888666222///......///000///............---------///...---,,,,,,,,,,,,,,,..................------+++,,,------......------........................////////////////////////////////////000000000000111000///......------...222//////333555555888===FFFSSS```eeegggoooyyy~~~~~~zzzzzz}}}|||{{{wwwmmm___SSSKKKHHHFFFKKKQQQVVVZZZ]]]```bbbfffggggggiiijjjmmmnnnooossssssvvv|||}}}|||{{{zzzxxxvvvxxxtttppplllkkkmmmppprrrrrrrrrrrrrrrsssuuuvvvwwwyyyyyyxxxwwwxxxyyyzzz{{{~~~~~~}}}|||{{{zzzyyyyyy}}}~~~~~~~~~~~~}}}||||||~~~~~~{{{vvvqqqkkkddd___\\\XXXTTTPPPOOONNNMMMKKKNNNMMMLLLLLLMMMNNNMMMKKKHHHHHHGGGFFFEEEDDDCCCBBBDDDCCCBBB@@@???@@@@@@AAAAAAAAACCCDDDDDDDDDCCCBBB???@@@@@@???======>>>???@@@@@@@@@AAAEEEKKKTTTZZZjjjqqqyyy}}}|||{{{|||}}}~~~vvviiibbbZZZ^^^^^^\\\\\\```___ZZZ[[[YYYWWWVVVVVVUUURRRPPPNNNLLLIIIGGGEEECCC???<<<888666333000......///000///............---------///...---,,,,,,,,,,,,---........................++++++,,,---------------............................................................////////////000000///............///333000000333444444888>>>IIIWWWeeeiiikkkpppvvvyyy|||yyyrrrfffYYYNNNHHHFFFGGGKKKQQQVVVYYY[[[^^^```eeefffggghhhjjjlllnnnoooqqqssswww}}}}}}||||||{{{yyywwwwwwuuuqqqnnnmmmnnnppprrrrrrrrrrrrssstttuuuvvvwwwyyyyyyxxxxxxxxxyyyzzz{{{}}}}}}}}}|||{{{zzzzzzyyy{{{{{{|||}}}}}}~~~~~~}}}~~~~~~~~~{{{wwwqqqjjjeeeaaa^^^YYYVVVTTTRRRQQQOOOQQQPPPOOOOOOPPPPPPNNNMMMKKKKKKJJJIIIHHHGGGFFFFFFEEECCCBBB@@@????????????@@@AAACCCDDDDDDDDDCCCBBB???@@@AAA@@@>>>>>>@@@BBBBBBCCCEEEGGGKKKQQQXXX^^^nnnttt|||~~~{{{|||}}}~~~vvviii\\\^^^^^^]]]___aaa```\\\[[[YYYVVVUUUUUUTTTRRRPPPMMMKKKIIIGGGFFFDDDAAA>>>999777333000......///000///............---------......---,,,,,,,,,------........................++++++,,,,,,------------........................------------------------------------..................////////////000000444111000333444444:::AAAQQQ___lllpppqqqsssvvvwww}}}{{{oooaaaSSSJJJFFFFFFGGGKKKQQQUUUXXXZZZ]]]___ddddddeeegggiiilllnnnoooooosssyyy}}}}}}}}}|||zzzyyywwwuuussspppooopppqqqqqqrrrrrrsssssstttuuuwwwxxxyyyyyyxxxxxxyyyyyyzzz{{{|||||||||{{{{{{zzzzzzzzzyyyyyyzzz{{{|||}}}~~~~~~|||}}}}}}~~~~~~~~~yyysssoooiiifffaaa]]][[[YYYWWWUUUUUUTTTRRRRRRRRRRRRPPPNNNNNNNNNMMMLLLKKKJJJIIIIIIHHHFFFDDDBBB@@@?????????@@@AAABBBCCCCCCCCCBBBBBB???@@@AAA@@@???@@@CCCEEEFFFIIILLLOOOSSSYYY___cccqqqvvv}}}}}}{{{{{{|||}}}~~~|||kkk```___^^^^^^aaabbbaaa^^^[[[YYYVVVUUUUUUSSSQQQOOOLLLJJJIIIHHHGGGEEECCC@@@:::888444111//////000000///............---------...------,,,,,,,,,---------------...............---------------......///................................................------........./////////------...///000111111111444222111333444666>>>GGG[[[gggsssvvvwwwyyy|||}}}qqq^^^PPPIIIGGGHHHGGGKKKQQQVVVZZZ\\\___aaabbbcccdddfffiiilllnnnoooqqqvvv}}}~~~~~~~~~}}}|||zzzvvvuuutttsssrrrqqqqqqqqqrrrrrrrrrssstttuuuwwwwwwxxxxxxxxxxxxyyyyyyzzzzzzzzzzzzzzzzzzzzzzzzzzzyyyxxxxxxyyyyyyzzz{{{||||||{{{{{{{{{|||}}}}}}~~~~~~~~~zzzwwwqqqnnniiieeeccc```]]][[[YYYWWWTTTSSSSSSRRRPPPNNNNNNNNNNNNMMMLLLKKKKKKKKKKKKJJJGGGDDDBBBAAAAAAAAA???@@@AAABBBCCCBBBBBBAAA>>>???@@@@@@@@@BBBEEEHHHJJJNNNSSSWWW[[[```dddhhhppptttzzz}}}~~~|||zzzzzz{{{{{{{{{|||}}}~~~sssgggccc______bbbbbb```___\\\ZZZWWWVVVUUUSSSQQQOOOLLLKKKIIIHHHHHHFFFDDDAAA;;;999555222000///000000///............---------------,,,,,,,,,------...---------.........//////.........---...///000000........................////////////////////////....../////////000000000,,,---///000111111111111444222222333555999DDDOOOcccmmmvvvxxxzzzuuu^^^NNNHHHGGGIIIGGGLLLRRRXXX\\\___bbbdddaaabbbdddfffiiilllooopppuuuzzz~~~|||zzzvvvuuuuuusssrrrrrrqqqqqqrrrrrrrrrrrrsssuuuvvvwwwwwwwwwwwwxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxyyyyyyyyyyyyyyyxxxwwwwwwxxxxxxyyyyyyyyyzzzzzz{{{|||||||||}}}~~~{{{wwwtttpppmmmjjjgggdddaaa\\\ZZZWWWUUUTTTRRRPPPNNNNNNMMMMMMMMMLLLKKKKKKKKKLLLJJJGGGDDDBBBAAA@@@@@@>>>???AAABBBBBBBBBAAA@@@===>>>??????@@@DDDHHHLLLNNNRRRXXX]]]aaaeeehhhkkkooossswwwzzzzzzyyyxxxxxxzzzzzzzzz{{{|||}}}qqqggg``````aaaaaa______]]][[[XXXWWWVVVTTTQQQOOOMMMLLLJJJIIIIIIGGGDDDBBB<<<:::666333000000000111///............---------------,,,,,,,,,---......,,,,,,------...////////////...---------...000111........................000000000000000000000000////////////000000000111,,,...///111222222111111222111222444777===KKKYYYiiirrrzzz}}}|||```NNNGGGGGGHHHIIIMMMTTTYYY]]]```ccceeeaaabbbdddgggjjjmmmppprrrxxx~~~~~~|||zzzvvvuuutttsssrrrqqqqqqqqqppppppqqqqqqrrrsssuuuvvvuuuuuuvvvwwwwwwwwwwwwvvvuuuuuuuuuvvvvvvwwwwwwwwwyyyxxxwwwuuuuuuuuuvvvwwwwwwxxxxxxyyyzzzzzz{{{{{{{{{||||||zzzvvvsssqqqnnnkkkhhhaaa___\\\YYYXXXUUURRRPPPNNNNNNNNNMMMMMMMMMLLLLLLJJJHHHFFFCCCAAA?????????>>>???@@@AAAAAAAAA@@@@@@===>>>???@@@BBBFFFLLLPPPSSSWWW]]]aaaeeehhhkkkmmmpppssswwwzzzzzzyyyzzzzzzzzzzzzyyyzzz{{{|||~~~yyylllaaa___```___^^^___^^^\\\YYYXXXWWWUUURRRPPPOOOMMMKKKJJJIIIGGGDDDAAA===;;;777333111000000111///............---------,,,,,,,,,,,,,,,---...///,,,,,,------...//////000...---+++++++++,,,...///........................000000000000000000000000........./////////000000---...000222222222111000000000222555999AAARRRbbbrrr{{{fffRRRJJJIIIIIIKKKOOOUUUYYY\\\^^^```bbbaaabbbdddgggkkknnnrrrsssyyy~~~|||yyyvvvuuusssqqqppppppqqqqqqooooooooopppqqqrrrssstttssssssuuuvvvvvvvvvuuutttrrrrrrsssttttttuuuvvvvvvwwwvvvtttssstttuuuvvvxxxvvvvvvwwwxxxxxxyyyyyyzzzzzzzzzzzz{{{}}}~~~{{{yyywwwuuuqqqnnniiifffccc```]]]ZZZWWWTTTQQQQQQQQQQQQPPPPPPPPPPPPKKKIIIGGGDDDBBBAAAAAAAAA===>>>@@@AAAAAAAAA@@@???>>>???AAABBBEEEJJJPPPUUUXXX\\\aaaeeegggjjjmmmppppppssswwwyyyyyyzzz{{{|||zzzzzzyyyyyyzzz|||~~~ooobbb___```]]]\\\^^^___]]]ZZZXXXWWWUUUSSSPPPOOONNNKKKJJJIIIGGGDDDAAA>>>;;;777333111000000111//////.........---------,,,,,,,,,,,,,,,---...///,,,,,,------...///000000,,,+++***))))))+++---...........................////////////////////////---------.........//////...///111222333222000/////////111555:::DDDWWWhhhyyylllWWWNNNLLLLLLNNNQQQVVVYYYZZZ[[[]]]^^^bbbccceeehhhkkkooorrrtttxxx~~~{{{yyywwwuuussspppooopppqqqqqqnnnnnnnnnooopppqqqssssssqqqrrrtttuuuuuuuuutttssspppqqqqqqrrrssstttuuuuuutttsssrrrrrrsssuuuxxxyyyvvvvvvvvvwwwxxxxxxyyyyyyyyyyyyxxxxxxyyy{{{~~~}}}{{{yyyuuurrrnnnlllhhheeebbb___[[[XXXTTTTTTTTTSSSSSSSSSSSSSSSNNNLLLJJJHHHFFFEEEEEEEEE===>>>???@@@AAA@@@??????@@@AAABBBDDDGGGMMMTTTYYY\\\___cccgggiiillloooqqqooorrruuuwwwxxxyyyzzz{{{zzzyyyxxxxxxyyy{{{~~~~~~~~~~~~~~~tttccc^^^``````^^^\\\]]]\\\[[[XXXVVVSSSQQQPPPPPPNNNKKKIIIHHHGGGDDDBBB???===999555222111000000////////////....................................000///...---------------)))+++,,,...//////......------......//////000000......///......---,,,,,,000000//////.........---,,,---///111111111000000111222555999>>>JJJaaauuurrrZZZLLLKKKNNNRRRUUUZZZ]]]___```bbbcccdddfffiiijjjlllooorrruuuzzz}}}zzzxxxwwwuuusssrrrssstttuuuqqqqqqqqqrrrrrrrrrrrrssssssssstttttttttsssrrrqqqpppqqqrrrtttuuuvvvvvvwwwssstttttttttuuuuuuvvvvvvuuuuuuvvvwwwwwwwwwwwwwwwyyyyyyzzzzzzyyy{{{}}}~~~|||yyywwwvvvsssoookkkhhheeeaaa^^^\\\\\\]]]]]]]]]\\\[[[ZZZWWWTTTPPPMMMKKKHHHFFFCCC@@@@@@???>>>>>>???@@@AAAAAABBBEEEIIINNNSSSXXXZZZdddgggiiilllnnnrrrwww{{{vvvuuutttssstttwwwyyy{{{zzzyyyyyyyyyyyyzzz{{{{{{~~~rrraaa\\\___```___^^^]]]\\\[[[XXXVVVSSSRRRQQQQQQOOOLLLJJJIIIGGGEEECCC@@@===:::666333111000000////////////.......................................---,,,++++++++++++,,,***+++,,,...//////......------------...............//////000///...---,,,000000/////////.........---...///000111111111000333333555999@@@OOOhhh~~~qqq\\\QQQOOOQQQRRRVVVZZZ^^^___```aaacccccceeehhhjjjlllooosssvvv{{{}}}yyyxxxvvvsssrrrrrrssstttqqqqqqrrrrrrsssssstttttttttssssssssssssrrrrrrrrrqqqqqqrrrtttuuuuuuuuuuuusssssssssttttttuuuuuuuuutttuuuuuuvvvvvvvvvvvvvvvwwwxxxyyyyyyyyyzzz|||~~~|||yyywwwssspppnnnkkkgggdddccccccddddddcccbbb```___[[[XXXTTTQQQOOOLLLIIIGGGBBBAAA@@@???>>>???@@@@@@AAACCCEEEIIIOOOUUU[[[^^^gggiiilllnnnpppsssxxx{{{xxxwwwuuuuuuuuuwwwzzz{{{zzzzzzyyyyyyzzzzzz{{{|||~~~ooo___ZZZ]]]___```aaa]]]\\\[[[XXXVVVTTTRRRQQQRRRPPPMMMKKKJJJIIIFFFDDD@@@>>>;;;777444222111000////////////....................................------,,,+++++++++,,,,,,+++,,,---...............---------------,,,,,,,,,...///000111111000...,,,000000////////////......---...///000111111111111444333555:::DDDUUUpppjjj[[[SSSQQQSSSSSSWWW[[[^^^___```aaacccccceeegggjjjllloootttwww}}}~~~{{{yyywwwtttrrrrrrrrrsssqqqqqqrrrsssttttttuuuuuuuuutttrrrqqqqqqqqqrrrsssrrrrrrssstttttttttttttttrrrsssssssssssssssttttttsssssstttuuuuuuuuuuuuuuuuuuwwwxxxxxxwwwxxx{{{}}}~~~|||yyywwwvvvssspppmmmlllmmmmmmlllkkkiiigggfffaaa___[[[WWWUUURRRNNNKKKEEEDDDBBB@@@????????????CCCDDDGGGLLLRRRZZZaaaffflllnnnppprrrsssuuuyyy{{{{{{zzzxxxwwwwwwxxxzzz{{{zzzzzzzzzzzzzzz{{{{{{|||~~~~~~~~~~~~}}}}}}~~~}}}mmm]]]XXXZZZ\\\^^^```]]]\\\[[[YYYVVVTTTSSSRRRSSSQQQNNNMMMLLLJJJGGGEEEAAA???<<<888555333111000////////////....................................///......---------......,,,------...............///......------,,,,,,,,,---///111222222000...---000000//////////////////...//////000111111222222444333777>>>IIIZZZsssqqq^^^VVVRRRRRRSSSUUUXXX\\\___``````aaabbbbbbdddfffiiilllpppuuuyyy~~~}}}{{{xxxtttrrrqqqrrrrrrqqqrrrrrrssstttuuuvvvvvvuuutttrrrppppppqqqrrrssssssssssssttttttssssssrrrrrrrrrrrrrrrrrrrrrrrrrrrqqqrrrssssssttttttsssssssssuuuvvvwwwvvvwwwyyy{{{{{{|||}}}~~~~~~}}}{{{xxxuuutttttttttsssqqqnnnlllkkkgggeeeaaa]]]ZZZVVVRRROOOHHHFFFDDDBBB@@@?????????EEEFFFIIIOOOWWW```hhhmmmppprrrtttuuuvvvwwwyyy|||}}}|||zzzyyyxxxyyyzzz{{{zzzzzzzzzyyyzzz{{{{{{|||}}}~~~~~~}}}|||||||||}}}~~~xxxiii[[[VVVWWWXXXZZZ]]]]]]\\\[[[YYYWWWUUUTTTSSSTTTRRROOOMMMLLLKKKHHHFFFBBB@@@>>>:::777444111000////////////..........................................---------......///...------.........//////000/////////......---------///000111222111///...//////000000000000000000/////////000111111222333333444999BBBMMM\\\pppxxx```TTTRRRRRRSSSTTTVVVZZZ^^^`````````aaabbbaaaccceeehhhkkkqqqwww{{{~~~|||~~~|||xxxuuusssqqqqqqrrrrrrrrrsssssstttuuuvvvvvvuuusssqqqppppppppprrrsssssssssssssssssssssrrrqqqqqqqqqqqqpppppppppppppppppppppqqqrrrrrrrrrrrrqqqrrrtttvvvvvvvvvvvvxxxyyywwwxxxzzz|||~~~}}}zzzxxxxxxwwwvvvtttrrrooonnnllliiieeebbb^^^YYYTTTPPPJJJHHHFFFCCCAAA@@@??????CCCDDDIIIOOOXXXbbbkkkpppsssuuuwwwxxxxxxxxxzzz{{{}}}|||{{{yyyyyyyyyyyyzzzyyyyyyyyyyyyyyyzzz{{{{{{|||}}}~~~~~~~~~~~~||||||||||||}}}~~~qqqdddWWWSSSUUUVVVXXX[[[]]]\\\[[[YYYWWWVVVTTTTTTTTTRRROOOMMMLLLKKKHHHFFFCCCBBB???<<<888444222000////////////....................................,,,,,,+++++++++,,,------///......---....../////////////////////...............//////000000////////////000000000000111111000000000000000222333333444444:::DDDOOO\\\nnn}}}vvvzzzxxxhhhWWWQQQQQQSSSVVVYYYXXX[[[___aaaaaaaaaaaabbb```bbbdddgggkkkqqqxxx}}}~~~|||~~~|||xxxuuusssrrrrrrrrrsssssssssssssssttttttttttttsssqqqpppppppppqqqrrrrrrrrrsssssssssrrrrrrqqqpppppppppoooooooooooonnnnnnoooooopppppppppppppppqqqsssuuuvvvvvvvvvwwwxxxvvvwwwxxxzzz}}}}}}zzzzzzzzzyyywwwuuurrrqqqpppmmmiiieeeaaa\\\VVVQQQKKKJJJGGGDDDBBBAAAAAAAAA@@@CCCHHHQQQZZZdddkkkppptttvvvxxxyyyyyyxxxzzz{{{{{{zzzyyyyyyxxxxxxxxxxxxxxxxxxxxxxxxxxxyyyyyyzzz||||||}}}~~~~~~~~~~~~}}}||||||||||||}}}~~~~~~yyywwwvvvggg]]]SSSRRRTTTUUUXXX[[[]]]\\\[[[YYYXXXVVVUUUTTTTTTQQQOOOMMMLLLJJJHHHEEEDDDBBB@@@===999555222000////////////....................................+++++++++++++++,,,---...000///...------...//////------...............///......---------...000000//////000000000111111111111000000000000222333444666555:::CCCOOO]]]ooo}}}zzzqqqtttzzzjjj___TTTQQQQQQSSSVVVZZZYYY\\\```aaaaaaaaaaaabbb```aaadddgggkkkqqqyyy~~~~~~}}}{{{xxxuuussssssssssssssssssssssssrrrrrrrrrrrrrrrrrrrrrqqqqqqqqqqqqpppqqqrrrrrrsssssssssrrrrrrooooooooonnnnnnnnnmmmmmmmmmmmmnnnoooooooooooooooqqqsssvvvwwwvvvvvvwwwxxxwwwxxxxxxzzz{{{|||}}}~~~~~~~~~}}}}}}}}}|||{{{yyyvvvuuussspppmmmiiiddd^^^WWWRRRLLLJJJHHHEEECCCBBBBBBBBBAAAEEEMMMVVV```hhhooorrrsssuuuxxxyyyxxxxxxyyyzzzxxxxxxxxxwwwwwwwwwwwwwwwwwwwwwvvvvvvwwwwwwxxxyyy{{{|||}}}}}}~~~~~~}}}}}}|||||||||}}}~~~{{{tttqqqppp```WWWPPPPPPTTTVVVYYY]]]]]]\\\[[[YYYXXXVVVUUUUUUSSSQQQOOOMMMLLLJJJGGGEEEDDDCCCAAA>>>:::666222000000/////////....................................---------------...///000000///...------...///000,,,,,,,,,------.........///...,,,+++,,,---000111//////000000111111111222111000000000000222333444888666999BBBNNN]]]qqq}}}xxxqqqssswww}}}}}}xxxccc[[[SSSQQQQQQQQQUUUZZZZZZ]]]```bbbaaaaaaaaabbb___aaacccfffkkkrrrzzz}}}{{{xxxuuutttssstttttttttssssssrrrrrrqqqppppppqqqrrrrrrrrrrrrqqqpppooopppqqqrrrrrrsssssssssrrroooooonnnnnnmmmmmmmmmllllllmmmmmmnnnooonnnnnnnnnqqqsssvvvwwwwwwvvvwwwxxxyyyyyyyyyzzzzzzzzz{{{{{{}}}}}}|||||||||~~~~~~|||zzzxxxuuusssoookkkfff___XXXTTTLLLKKKHHHFFFDDDCCCCCCCCCFFFJJJRRR\\\fffnnntttwwwrrrtttwwwxxxxxxxxxyyyzzzvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvuuuvvvwwwwwwxxx{{{||||||}}}}}}}}}}}}}}}|||||||||}}}~~~{{{{{{qqqkkkhhhddd^^^VVVPPPOOORRRVVVXXX[[[[[[[[[ZZZYYYWWWVVVUUUVVVSSSPPPNNNLLLJJJGGGEEEGGGEEEBBB???===999444000000//////............///........................---------............///111000///...---,,,,,,,,,------------------------000000000///......------///////////////.........111111111111222333444444888666:::FFFTTTaaaoooyyyyyywwwrrrrrrtttyyy|||yyyqqqiii\\\XXXSSSRRRUUUYYY[[[\\\[[[[[[\\\\\\]]]^^^___```ccceeegggiiimmmttt{{{~~~||||||{{{zzzxxxwwwvvvuuurrrqqqpppoooooopppqqqrrrqqqqqqqqqqqqooonnnmmmlllmmmllllllmmmpppqqqqqqpppmmmmmmmmmmmmmmmmmmmmmmmmlllllllllllllllmmmnnnoootttsssrrrqqqrrrssstttuuuxxxxxxxxxxxxyyyzzz{{{||||||}}}}}}~~~~~~~~~}}}}}}~~~~~~}}}zzzvvvtttqqqmmmhhh```YYYSSSNNNIIIFFFFFFDDDAAAAAADDDEEENNNXXX```iiisssvvvuuuwwwwwwxxxxxxxxxwwwwwwvvvuuuvvvvvvwwwwwwvvvvvvuuuvvvuuuuuuttttttttttttuuuyyyzzz{{{{{{|||{{{{{{{{{{{{{{{{{{{{{|||~~~~~~~~~ttt|||wwwqqqnnngggccc\\\WWWUUUVVVWWWXXX[[[[[[[[[ZZZYYYXXXVVVVVVVVVTTTQQQOOONNNLLLIIIGGGFFFDDDBBB???===999444111000000///............///........................---------............///000///...---------------------------------------111000000000000/////////000000000000000000000000111111111111111222333444888777===IIIWWWbbbnnnwww|||yyyttttttuuuyyy|||xxxnnnfff[[[XXXTTTTTTVVVYYY[[[[[[\\\\\\\\\\\\]]]___```aaadddfffiiilllpppwww~~~~~~}}}{{{zzzxxxvvvuuuuuutttsssqqqpppooooooooooooqqqqqqqqqpppooonnnmmmllllllkkkkkkllloooppppppooolllllllllllllllllllllllljjjjjjjjjjjjjjjkkklllmmmrrrqqqqqqppppppqqqssssssuuuuuuuuuvvvwwwyyyzzz{{{}}}}}}~~~~~~~~~~~~~~~~~~~~~}}}}}}~~~}}}zzzwwwtttqqqmmmgggaaaYYYTTTNNNIIIFFFFFFDDD@@@AAADDDGGGOOOYYYaaajjjssswwwuuuuuuuuuvvvvvvwwwvvvvvvvvvwwwwwwxxxxxxxxxxxxwwwwwwvvvuuuuuutttttttttuuuuuuyyyyyyzzz{{{{{{{{{{{{{{{{{{zzzzzzzzz{{{|||}}}}}}}}}}}}}}}}}}~~~~~~~~~~~~~~~~~~lllwww}}}yyyoookkkfff```\\\ZZZYYYYYY\\\\\\[[[[[[ZZZYYYWWWWWWVVVTTTRRRPPPPPPNNNLLLIIIFFFDDDBBB@@@>>>:::555222111000//////.........///........................---------............//////......---------......------------------------+++++++++,,,,,,,,,------000000000000111111111111000000000000111222333444888999AAANNNZZZdddmmmuuu|||xxxwwwxxxzzz{{{vvvlllccc[[[XXXVVVVVVXXXYYYZZZYYY[[[\\\\\\\\\^^^___```aaaeeehhhkkkpppuuu|||~~~|||zzzwwwuuuttttttuuutttrrrqqqooonnnnnnnnnqqqqqqppppppooommmlllkkkjjjiiiiiikkkmmmnnnnnnmmmkkkkkkkkkkkkkkkkkkkkkkkkhhhhhhhhhhhhhhhiiiiiijjjooonnnnnnnnnnnnooopppqqqqqqrrrrrrsssuuuwwwxxxyyy{{{|||}}}~~~~~~~~~~~~~~~}}}|||||||||}}}}}}zzzxxxuuuqqqlllgggaaaZZZUUUOOOJJJFFFFFFCCC@@@AAADDDJJJRRR\\\cccllltttwwwvvvsssssstttuuuuuuvvvuuuuuuvvvvvvwwwwwwwwwwwwvvvvvvuuuuuutttttttttuuuuuuvvvxxxyyyzzzzzz{{{{{{zzzzzzzzzyyyyyyyyyyyyyyyzzzzzz{{{{{{{{{{{{|||||||||}}}}}}~~~jjjvvvyyyvvvoooggg```[[[YYYYYY\\\\\\\\\\\\[[[ZZZYYYXXXVVVTTTRRRPPPPPPOOOLLLJJJFFFDDDBBB@@@>>>;;;777333111111000///....................................---------............///---------------...///000------------------------)))))))))***+++,,,,,,---///000000000000000111111/////////000111222333444888;;;FFFTTT___fffmmmuuu}}}}}}{{{}}}|||~~~}}}wwwkkkbbbZZZYYYYYYYYYYYYYYYYYYXXXZZZZZZ[[[[[[]]]^^^``````eeehhhmmmsssxxx}}}yyywwwtttsssssstttsssrrrqqqpppoooooonnnpppppppppooonnnmmmkkkkkkiiihhhhhhiiikkkllllllkkkiiiiiiiiiiiiiiiiiiiiiiiigggggggggffffffggghhhhhhkkkkkkkkkllllllmmmmmmnnnmmmnnnoooppprrrtttvvvwwwyyyyyyzzz||||||}}}}}}}}}||||||||||||}}}~~~}}}zzzyyyuuupppkkkfff```ZZZVVVOOOJJJFFFFFFDDDAAABBBFFFNNNVVV___eeemmmuuuxxxvvvrrrssstttuuuuuuvvvuuuuuuttttttuuuuuuuuuuuutttttttttttttttttttttuuuvvvwwwxxxxxxyyyzzzzzzzzzzzzzzzxxxxxxwwwwwwvvvwwwwwwwwwzzzzzzzzz{{{{{{{{{||||||~~~nnnzzz{{{pppddd]]]ZZZYYY]]]]]]]]]]]]\\\[[[ZZZZZZUUUSSSQQQPPPOOONNNLLLJJJFFFDDDBBBAAA???<<<888555222222000//////.................................---------............///---------------...///000------------------------,,,---......///000111111.........//////000000000/////////000111333444555888===KKKZZZeeejjjqqqxxx|||ooojjjllltttzzzzzzmmmcccZZZ[[[[[[[[[ZZZYYYXXXXXXXXXYYYYYYZZZ\\\]]]___```dddhhhnnnuuu{{{}}}yyyvvvtttssssssrrrrrrrrrrrrqqqqqqqqqpppooooooooonnnmmmlllkkkjjjhhhgggfffgggiiikkkjjjiiihhhhhhhhhhhhhhhhhhhhhhhhggggggffffffeeeffffffgggggghhhiiijjjjjjkkkkkkkkkkkkkkklllmmmoooqqqssstttuuuvvvwwwxxxzzzzzz{{{{{{|||||||||}}}}}}~~~}}}zzzyyyuuuoooiiiddd___ZZZVVVPPPKKKGGGFFFEEECCCEEEIIIQQQYYYaaagggnnnvvvwwwuuusssttttttuuuvvvvvvvvvuuuttttttuuuuuuuuuuuuttttttsssssssssttttttvvvwwwwwwwwwxxxxxxyyyyyyyyyyyyyyywwwvvvuuuuuuuuuuuuuuuvvvzzzzzzzzzzzz{{{{{{{{{|||yyyoooccc^^^\\\]]]]]]^^^^^^]]]\\\\\\[[[VVVTTTRRRPPPOOONNNKKKIIIFFFDDDBBBAAA@@@===:::777333222111000///.................................---------............///---------------...///000------------------------------......///000111111------......//////000000000000000111222444555666999AAAPPPaaakkkqqqxxxssseee^^^```iiitttpppeee\\\]]]]]]\\\YYYXXXXXXYYYXXXXXXYYYZZZ\\\^^^___```dddiiipppwww}}}|||xxxuuutttttttttqqqqqqrrrrrrrrrrrrqqqqqqoooooonnnnnnmmmkkkjjjiiihhhgggfffgggiiijjjiiihhhffffffffffffffffffffffffffffffeeeddddddddddddeeeeeefffggghhhiiijjjjjjjjjiiijjjjjjkkkmmmooopppqqqrrrssstttvvvxxxyyyyyyzzz|||||||||}}}}}}~~~~~~~~~~~~}}}{{{yyytttnnngggbbb]]]YYYVVVPPPKKKGGGGGGGGGFFFIIINNNSSS[[[ccchhhooouuuwwwttttttuuuuuuuuuuuuuuuttttttuuuuuuvvvvvvvvvvvvuuuuuurrrrrrssssssuuuvvvxxxxxxvvvwwwxxxxxxyyyyyyxxxxxxuuutttttttttttttttuuuuuuyyyyyyyyyzzzzzzzzz{{{{{{~~~~~~~~~oooddd```^^^^^^^^^^^^^^^]]]]]]\\\YYYWWWTTTRRRPPPOOOLLLIIIEEEDDDBBBBBBAAA>>>;;;888444333222000///.................................---------............///......---------......///------------------------++++++,,,,,,------......---......///000000111111000000111222333555777888<<>>HHHZZZlllxxx~~~nnnaaaZZZ]]]jjjzzz}}}uuuggg^^^______\\\XXXWWWYYY[[[[[[[[[\\\]]]___aaacccdddggglllttt{{{{{{xxxuuuuuuuuuvvvttttttttttttsssqqqooommmnnnnnnnnnmmmlllkkkiiiiiihhhgggfffggghhhiiihhhgggddddddddddddddddddddddddbbbbbbaaa```````````````cccdddfffhhhiiiiiiiiihhhjjjjjjjjjjjjkkklllmmmnnnqqqrrrtttvvvxxxzzzzzz{{{yyyyyyzzz{{{{{{{{{zzzzzz}}}~~~}}}{{{xxxssskkkddd___[[[WWWUUUPPPKKKHHHIIIJJJKKKOOOUUUVVV]]]dddiiioootttuuurrrtttttttttsssrrrqqqpppooooooooooooppppppoooooooooqqqqqqrrrsssuuuwwwxxxyyyvvvvvvwwwxxxxxxxxxxxxxxxrrrrrrrrrssstttuuuvvvwwwvvvvvvvvvvvvwwwwwwwwwwwwvvvxxx{{{~~~}}}}}}}}}}}}}}}~~~~~~~~~}}}}}}~~~oooeee^^^^^^]]]\\\[[[[[[[[[[[[]]]YYYWWWXXXUUUOOOIIIHHHHHHGGGDDDCCCBBB@@@===:::222222111///............//////............//////////////////////////////,,,---...//////...---,,,,,,,,,,,,---------..................////////////000000000000////////////222333333222111444;;;@@@CCCVVVlllyyylll___^^^eeerrr~~~tttggg______^^^^^^^^^______```^^^]]]]]]___aaacccddddddfffllluuu~~~}}}xxxtttrrrqqqqqqttttttttttttsssrrrqqqpppnnnnnnmmmlllkkkiiihhhggghhhhhhhhhhhhggggggggggggdddcccccccccbbbaaaaaaaaaaaaaaaaaaaaaaaa``````___ddddddeeeeeeeeeeeeeeeeeeiiiiiiiiijjjkkklllnnnooonnnoooqqqsssuuuwwwxxxyyyzzzzzzzzzzzzyyyyyyyyyyyyzzz|||~~~|||zzzvvvpppggg___YYYUUURRRPPPMMMMMMMMMNNNOOOQQQRRRSSS[[[^^^dddiiinnnqqqrrrrrrvvvvvvwwwvvvuuurrrooonnnmmmmmmnnnoooppppppoooooorrrrrrsssssstttuuuuuuvvvuuuuuutttuuuwwwwwwvvvtttppppppooopppqqqsssuuuwwwttttttuuuuuuvvvvvvvvvwwwyyyxxxyyy{{{~~~~~~~~~~~~}}}||||||}}}~~~sssggg^^^^^^]]]\\\\\\\\\\\\\\\\\\ZZZ[[[^^^]]]UUUNNNLLLHHHGGGEEECCCBBB@@@===:::333222111///............//////............//////////////////////////////------...//////...------,,,,,,---------.....................////////////000000000000000000000///111111222222666???LLLUUULLL```xxxmmmbbbccckkkwwwmmm```^^^^^^^^^^^^^^^^^^______^^^]]]]]]___aaaccceeeeeehhhnnnwww}}}xxxuuusssrrrrrrttttttttttttsssrrrqqqpppnnnnnnnnnmmmkkkjjjhhhggghhhhhhgggggggggfffffffffdddccccccbbbbbbaaaaaa```]]]^^^^^^^^^^^^]]]\\\\\\bbbbbbbbbccccccdddddddddeeeeeeeeeeeefffggghhhiiilllmmmoooqqqsssuuuvvvwwwyyyyyyyyyyyyyyyyyyyyyxxxzzz|||~~~|||zzzsssmmmeee]]]WWWSSSPPPNNNMMMNNNPPPRRRUUUWWWYYYZZZ]]]```eeejjjoooqqqrrrrrruuuvvvwwwwwwuuusssqqqooommmnnnooooooppppppppppppqqqrrrrrrssssssttttttuuutttsssssstttvvvvvvuuusssqqqpppppppppqqqsssuuuvvvttttttuuuuuuvvvwwwwwwxxxwwwvvvwwwyyy|||}}}}}}|||}}}}}}|||||||||}}}uuuggg___^^^]]]]]]]]]]]]]]]^^^ZZZZZZ]]]bbbaaaYYYPPPMMMIIIGGGEEECCCBBB@@@===;;;444333111000///....../////////............//////////////////////////////------...//////...------,,,------------.....................////////////000000000000000000000000111111000111888FFFWWWdddTTTkkkooofffjjjsss}}}{{{fff[[[\\\\\\\\\]]]]]]^^^^^^___]]]]]]^^^___aaaccceeefffjjjoooxxx}}}yyyvvvuuutttttttttttttttssssssrrrqqqpppoooooonnnmmmllljjjiiihhhggggggfffffffffeeeeeeeeecccccccccbbbaaa`````````\\\\\\\\\\\\\\\[[[[[[ZZZ^^^______```aaabbbccccccfffeeeeeeeeefffggghhhhhhjjjkkklllnnnppprrrssstttwwwxxxxxxxxxxxxxxxxxxxxxyyy{{{~~~|||yyypppjjjaaaZZZTTTQQQMMMLLLLLLOOOSSSXXX\\\```bbbcccaaacccgggllloooqqqrrrrrruuuvvvvvvvvvvvvtttrrrqqqnnnnnnoooooopppqqqqqqqqqppppppqqqqqqrrrsssssssssrrrqqqqqqssstttuuutttrrrrrrqqqqqqqqqqqqrrrssstttsssssstttuuuwwwxxxyyyyyyuuuuuuuuuwwwzzz{{{{{{zzz|||{{{{{{{{{|||}}}uuueee^^^^^^]]]]]]]]]^^^______YYYXXXZZZ^^^]]]UUUMMMJJJIIIGGGEEEDDDCCCAAA===;;;666444222000///...////////////............//////////////////////////////---..................---------------........................////////////000000000000000111111111333222000000555@@@PPP\\\XXXpppoooiiioooxxxqqqaaaZZZYYYZZZ[[[\\\]]]]]]^^^^^^\\\]]]___```aaacccfffgggkkkqqqyyy~~~zzzxxxvvvvvvvvvssssssssssssrrrqqqppppppoooooonnnmmmllljjjiiihhhffffffeeeeeeeeedddddddddccccccbbbaaa```______^^^]]]^^^^^^^^^^^^]]]\\\\\\\\\]]]]]]___```aaabbbbbbfffeeeeeeeeeffffffggghhhiiiiiikkklllnnnpppqqqrrrvvvvvvvvvwwwwwwxxxxxxxxxxxxzzz}}}~~~zzzwwwlllggg^^^WWWRRROOOLLLJJJJJJNNNTTT[[[aaafffiiijjjeeegggjjjmmmoooqqqqqqqqqtttuuuuuuvvvvvvuuuttttttnnnnnnnnnnnnooooooppppppooooooppppppqqqqqqrrrrrrrrrqqqqqqrrrtttuuutttrrrsssrrrrrrrrrrrrrrrrrrrrrrrrssstttuuuwwwxxxyyyzzzuuutttuuuwwwzzz{{{{{{yyyzzzzzzzzzzzz{{{}}}tttddd]]]]]]]]]]]]^^^^^^___```]]]YYYWWWYYYVVVPPPJJJIIIIIIHHHEEEDDDCCCAAA>>>;;;888666333000/////////000//////............//////////////////////////////.........------.........---------.........//////............///////////////000000000111111111222444444333111333:::DDDMMMZZZqqqooolllssszzzwwwdddZZZWWWWWWXXXYYY[[[\\\]]]]]]]]][[[^^^```aaaaaacccfffiiimmmrrrzzz|||yyyxxxxxxxxxssssssssssssrrrqqqpppoooooonnnnnnmmmllljjjiiihhheeeeeeeeeeeeddddddddddddccccccbbbaaa```___^^^]]]]]]^^^^^^^^^^^^]]]\\\\\\[[[\\\]]]^^^___```aaaaaaaaaaaaaaaaaabbbbbbcccdddhhhiiijjjkkkmmmnnnppppppttttttuuuvvvvvvwwwxxxxxxvvvxxx{{{|||}}}~~~}}}wwwsssiiiddd\\\UUUPPPMMMKKKIIIGGGKKKRRRZZZaaagggjjjlllgggiiikkkmmmooopppqqqqqqrrrssstttuuuuuuvvvvvvvvvoooooonnnmmmmmmmmmnnnooonnnnnnoooooopppqqqqqqrrrrrrqqqqqqsssuuuvvvuuusssrrrrrrsssrrrrrrrrrqqqqqqqqqrrrssstttvvvwwwyyyyyyuuuuuuvvvxxxzzz|||{{{zzzyyyyyyyyyyyy{{{|||~~~|||ssseee\\\\\\\\\\\\]]]^^^``````bbb\\\XXXWWWTTTOOOLLLLLLJJJHHHFFFDDDCCCAAA>>>;;;999777333000//////000111//////............/////////////////////////////////...------------...///------........./////////............///////////////000000111111222222222222444555555555999@@@EEE[[[pppsssrrrwww{{{}}}zzzdddWWWQQQQQQTTTUUUXXXZZZ\\\\\\\\\\\\[[[^^^aaaaaaaaabbbgggjjjpppuuu|||}}}zzzyyyxxxxxxsssssssssrrrrrrqqqpppooonnnnnnmmmlllkkkiiihhhgggffffffeeeeeeeeedddddddddcccbbbaaa```___^^^]]]\\\[[[[[[[[[\\\[[[ZZZZZZYYY[[[[[[\\\\\\]]]^^^______`````````aaabbbcccdddeeegggggghhhjjjkkklllmmmnnnppppppqqqrrrtttuuuvvvvvvtttvvvyyyzzz{{{|||zzzsssnnnfffaaaYYYRRRNNNKKKIIIGGGEEEIIIOOOWWW^^^dddhhhjjjhhhiiikkkmmmooopppqqqqqqpppqqqrrrssstttvvvwwwwwwrrrqqqooommmmmmmmmmmmnnnnnnnnnoooooopppqqqqqqqqqqqqpppqqqrrruuuvvvuuutttrrrrrrsssssssssrrrqqqqqqqqqqqqrrrsssuuuvvvwwwwwwvvvvvvvvvxxx{{{}}}|||{{{zzzyyyyyyyyyzzz{{{}}}~~~ttt||||||ooodddZZZZZZ[[[[[[]]]^^^___```bbb\\\XXXXXXVVVQQQOOOOOOJJJHHHFFFEEEDDDBBB>>><<<:::888444000//////000111//////............/////////////////////////////////...------------...///............////////////............///////////////000000111111222333333111333666777777:::@@@EEEZZZmmmyyyyyy|||}}}~~~tttdddWWWPPPMMMMMMRRRTTTVVVYYY[[[\\\[[[[[[ZZZ^^^aaabbbaaabbbggglllsssxxx~~~{{{yyyxxxxxxrrrrrrsssrrrrrrqqqpppooommmmmmlllkkkjjjhhhgggfffffffffffffffeeeeeeeeeeeecccbbbaaa```^^^]]]\\\[[[YYYZZZZZZZZZZZZYYYXXXXXXYYYZZZZZZZZZ[[[[[[\\\\\\^^^^^^___```bbbdddfffgggdddeeefffggghhhjjjkkkkkkkkklllmmmnnnpppqqqrrrsssrrrtttwwwxxxyyyzzz}}}~~~xxxpppjjjbbb]]]VVVOOOKKKIIIGGGEEEFFFHHHMMMSSSYYY___dddfffhhhiiikkklllnnnpppqqqqqqnnnooopppqqqsssuuuwwwxxxwwwuuurrrooonnnmmmmmmnnnnnnooooooppppppqqqrrrrrroooooooooqqqsssuuutttssspppqqqrrrsssssssssrrrqqqqqqqqqrrrrrrsssttttttuuuvvvuuuvvvxxx{{{||||||{{{zzzzzzyyyyyyyyyzzz|||}}}pppwww}}}vvvkkkaaaYYYZZZZZZ[[[\\\^^^___```___ZZZXXXYYYXXXSSSPPPQQQJJJHHHFFFEEEDDDBBB>>><<<;;;888444111//////000222//////............/////////////////////////////////...---,,,,,,---...///............/////////000............/////////000///000000111222222333333111444666777777:::@@@EEEXXXiii{{{~~~~~~~~~~~~~~~ssskkk```VVVPPPNNNNNNNNNQQQSSSVVVYYY[[[[[[[[[[[[ZZZ^^^bbbbbbaaabbbggglllvvv{{{{{{yyyxxxxxxrrrrrrrrrrrrqqqpppoooooollllllkkkkkkiiigggfffeeeggggggfffffffffeeeeeeeeecccbbbaaa```^^^]]]\\\[[[ZZZZZZZZZZZZZZZYYYYYYXXXXXXXXXXXXYYYYYYYYYYYYYYYXXXYYYZZZ[[[]]]```aaacccccccccdddeeefffhhhhhhiiihhhhhhiiikkkmmmnnnooopppqqqsssuuuwwwxxxyyy{{{}}}~~~}}}vvvmmmggg```[[[SSSMMMIIIGGGEEECCCGGGHHHLLLQQQWWW]]]bbbdddhhhiiijjjlllnnnoooqqqqqqmmmmmmnnnppprrruuuwwwxxxzzzxxxuuuqqqooonnnnnnnnnooooooooopppqqqqqqrrrrrrnnnmmmnnnppprrrssssssrrrpppqqqrrrssstttsssrrrrrrqqqqqqqqqrrrrrrsssssssssuuuuuuuuuxxxzzz|||{{{zzz{{{zzzyyyyyyyyyzzz{{{|||~~~~~~~~~ooottt|||}}}vvvnnnddd^^^WWWUUUWWW\\\]]][[[[[[]]]]]]ZZZXXXVVVVVVTTTRRROOOLLLJJJHHHGGGFFFEEEBBB@@@>>>;;;666222/////////000........................---......///////////////111111000000//////..................////////////000//////............///...///111222222111111000222111222555777:::DDDNNNZZZdddsss|||xxxzzz|||tttmmmbbbXXXPPPNNNMMMJJJIIIKKKOOOQQQTTTXXXZZZ[[[\\\[[[]]]___``````aaaeeelllrrrzzz~~~~~~|||zzzwwwrrrrrrsssttttttrrrnnnjjjnnnmmmlllkkkjjjhhhggggggeeegggiiijjjjjjhhhfffdddcccbbbaaa___^^^]]][[[[[[YYYYYYYYYXXXWWWUUUTTTSSSXXXXXXWWWWWWWWWVVVVVVVVVXXXXXXYYYZZZ[[[]]]___```____________aaaccceeefffjjjkkkkkklllmmmnnnoooooopppqqqrrrtttwwwyyyzzz{{{|||}}}~~~~~~~~~~~~|||xxxpppfff___ZZZVVVPPPKKKHHHFFFCCCAAABBBEEEJJJOOOTTTYYY^^^bbbeeehhhjjjkkkllllllnnnoooqqqpppoooooooooppprrrrrrxxxyyyyyywwwsssooonnnmmmqqqqqqqqqpppppppppppppppoooooopppppppppqqqqqqqqqoooooopppppppppqqqqqqqqqrrrrrrrrrrrrrrrrrrrrrrrrqqqsssuuuwwwyyyzzz{{{|||yyyxxxxxxwwwwwwxxxxxxyyyzzzzzz{{{|||}}}~~~oooooorrr{{{~~~wwwoooeee^^^WWWTTTTTTXXXZZZZZZ[[[___]]][[[XXXWWWVVVTTTRRRPPPMMMKKKHHHGGGFFFEEEBBB@@@>>>;;;777222000///000000........................---......///////////////............////////////............////////////.........------.../////////000000111111111111111222000111444555999CCCMMMZZZcccpppzzzyyyuuurrruuu}}}zzznnndddXXXPPPIIIHHHIIIHHHHHHJJJOOOQQQTTTWWWZZZ[[[[[[[[[]]]___```aaabbbfffmmmsss{{{~~~|||zzzuuuttttttttttttsssooolllmmmmmmllljjjiiihhhgggfffdddfffgggiiihhhgggdddcccbbbaaa```___^^^\\\[[[[[[YYYYYYXXXXXXWWWVVVUUUTTTWWWWWWWWWWWWVVVVVVVVVVVVWWWWWWWWWXXXZZZ[[[]]]^^^]]]]]]]]]]]]___aaacccdddiiiiiijjjkkkllllllmmmmmmmmmnnnppprrruuuwwwyyyzzzzzzzzz|||}}}||||||{{{zzzvvvmmmddd]]]RRRNNNIIIEEECCCBBB@@@>>>AAADDDHHHLLLPPPVVV\\\aaadddgggiiikkkkkklllmmmoooooonnnnnnmmmnnnooopppqqqxxxyyyzzzyyyuuuqqqooonnnppppppppppppppppppppppppoooooooooppppppqqqqqqqqqpppppppppppppppppppppqqqrrrrrrrrrrrrrrrrrrrrrrrrrrrsssuuuwwwxxxyyyzzzzzzxxxwwwwwwvvvvvvwwwwwwxxxyyyzzz{{{|||}}}~~~rrrmmmiiimmmzzz{{{rrrhhh```XXXSSSRRRVVVYYY[[[^^^bbb]]][[[XXXWWWVVVUUUSSSQQQMMMKKKIIIGGGGGGEEECCCAAA>>><<<777333111000000000........................---......///////////////,,,,,,------...//////000............////////////------------...//////000111000000000000111222222333222222444666:::DDDNNN\\\dddmmmuuu|||qqqooonnnsss{{{yyyiii\\\OOOHHHBBBDDDGGGHHHIIILLLOOOPPPSSSVVVYYYZZZZZZZZZ\\\^^^```aaacccgggooouuu}}}}}}xxxwwwuuuttttttsssqqqooommmlllkkkjjjiiigggffffffcccdddfffgggfffeeecccaaaaaa```___^^^]]]\\\[[[ZZZWWWXXXXXXXXXWWWVVVVVVUUUWWWWWWWWWVVVVVVVVVUUUUUUUUUUUUUUUVVVWWWYYYZZZ[[[[[[[[[[[[[[[\\\^^^```bbbfffgggggghhhjjjkkkkkkllljjjkkkmmmpppsssvvvxxxyyywwwwwwyyyzzz|||~~~~~~~~~|||yyyyyyxxxvvvrrriii```YYYNNNKKKGGGDDDCCCBBBAAA@@@@@@AAADDDHHHLLLRRRZZZ___bbbeeehhhiiijjjjjjlllnnnmmmllllllllllllmmmnnnnnnvvvyyy{{{{{{xxxssspppooooooooooooooooooooooooooooooooooooooopppppppppppppppppppppppppppppppppoooqqqqqqqqqqqqqqqqqqqqqqqqssstttuuuvvvwwwxxxxxxxxxvvvvvvvvvuuuuuuvvvvvvvvvyyyzzzzzz{{{|||}}}~~~~~~xxxnnnfffgggqqqyyymmmccc[[[UUUSSSXXX\\\^^^```bbb]]][[[YYYXXXWWWVVVTTTRRRNNNLLLIIIHHHGGGFFFCCCAAA>>><<<888444222000000111........................---......///////////////---------....../////////............////////////---------...///000111222222111000///000111222333666444444777999===HHHSSS```fffnnntttzzz{{{nnnooorrrxxx~~~}}}zzziiiZZZLLLFFFBBBEEEIIIKKKLLLOOOOOOQQQSSSVVVXXXYYYZZZZZZ\\\^^^aaabbbdddiiiqqqwwwzzzxxxuuussssssrrrqqqpppllllllkkkjjjhhhgggffffffdddeeeeeefffeeedddbbbaaa______^^^]]]\\\[[[ZZZZZZWWWWWWWWWXXXWWWWWWVVVVVVVVVVVVVVVVVVUUUUUUUUUUUUTTTTTTTTTUUUVVVXXXYYYZZZZZZZZZZZZZZZ[[[]]]___```dddeeefffggghhhiiijjjkkkhhhiiikkknnnqqquuuwwwxxxuuuvvvwwwyyy{{{|||~~~~~~~~~~~~}}}}}}}}}~~~~~~{{{zzzwwwvvvuuusssnnneee\\\UUUMMMIIIEEEBBBBBBAAA@@@??????@@@CCCEEEIIIPPPXXX]]]```ccceeeggghhhiiijjjlllkkkkkkkkklllllllllmmmmmmsssvvvzzzzzzwwwssspppnnnmmmmmmmmmnnnnnnoooooooooooooooooooooooooooooooooppppppppppppooooooooooooppppppppppppqqqqqqqqqqqqssstttuuuuuuvvvvvvvvvvvvwwwvvvvvvuuuuuuvvvvvvwwwyyyyyyzzz{{{{{{|||}}}}}}~~~sssjjjiiiooozzzuuuiii^^^XXXUUUYYY^^^^^^]]]^^^]]][[[YYYXXXXXXWWWUUUSSSOOOLLLJJJIIIHHHGGGDDDBBB???===999666333111111111////////////////////////---......///////////////000000000/////////..................////////////////////////000111222333222111000000000111333444555333444777:::@@@LLLXXXccciiipppwww}}}yyymmmrrryyy}}}{{{jjj[[[MMMFFFCCCFFFKKKLLLNNNPPPQQQRRRSSSUUUWWWYYYZZZ[[[[[[^^^aaaccceeekkksssyyy{{{xxxtttrrrqqqqqqqqqpppmmmlllkkkjjjiiigggffffffeeeeeefffeeeeeecccbbbaaa^^^^^^]]]\\\[[[ZZZZZZYYYWWWWWWWWWXXXWWWWWWVVVVVVVVVVVVUUUUUUUUUTTTTTTTTTTTTTTTTTTUUUVVVWWWXXXYYYZZZYYYYYYYYYZZZ\\\]]]^^^bbbcccdddeeeggghhhiiijjjggghhhjjjmmmqqqtttvvvwwwvvvwwwxxxyyyzzz|||}}}}}}}}}~~~~~~~~~~~~~~~~~~~~~{{{{{{||||||}}}~~~~~~|||yyyxxxuuutttrrroooiiiaaaXXXQQQIIIFFFAAA>>>===<<<;;;:::???@@@BBBEEEIIIOOOWWW\\\^^^```ccceeefffgggiiikkkkkkkkkkkklllllllllllllllnnnrrruuuwwwtttqqqnnnlllkkkkkklllmmmnnnnnnoooooonnnnnnnnnnnnnnnnnnnnnnnnoooooooooooooooooooooooooooooooooppppppqqqqqqqqqrrrssstttuuuuuuuuuuuutttwwwwwwwwwvvvvvvwwwwwwwwwyyyyyyzzzzzz{{{{{{||||||{{{rrrqqqsssxxxuuueee]]]WWWYYY\\\\\\ZZZZZZ]]]\\\ZZZYYYYYYXXXVVVTTTOOOMMMKKKIIIIIIGGGEEECCC???===:::777444222111111////////////////////////---......///////////////222111111000//////..................////////////////////////000111222222111111111111111222333333333111222777<<>>======<<<;;;>>>@@@BBBEEEIIIOOOVVVZZZ[[[^^^aaacccdddeeegggiiiiiijjjkkklllllllllkkkkkkjjjmmmqqqrrrpppnnnlllkkkiiijjjjjjlllmmmnnnoooooonnnnnnnnnnnnmmmmmmmmmmmmnnnnnnnnnoooooooooppppppnnnnnnnnnoooppppppqqqqqqqqqrrrssstttttttttttttttxxxwwwwwwvvvvvvwwwwwwxxxyyyyyyyyyzzzzzzzzz{{{{{{}}}~~~}}}{{{zzz{{{sssggg[[[YYY[[[[[[[[[\\\^^^\\\ZZZYYYYYYYYYWWWUUUPPPNNNKKKJJJIIIHHHEEECCC???===;;;888555333222111////////////////////////---......////////////////////////////////////...............///////////////...............//////000111222222333333222222333222444:::AAAJJJYYYgggooouuu~~~tttnnnuuummm\\\MMMGGGEEEIIIMMMOOOPPPRRRTTTUUUUUUWWWXXXZZZ\\\]]][[[^^^aaadddgggnnnwww}}}|||zzzwwwuuutttsssqqqoooooonnnmmmlllkkkiiihhhhhheeeddddddcccbbb``````___\\\[[[[[[ZZZZZZYYYYYYXXXYYYYYYXXXXXXWWWVVVUUUTTTUUUTTTTTTTTTSSSSSSSSSSSSRRRQQQQQQRRRRRRSSSTTTUUUWWWVVVVVVUUUVVVWWWYYYZZZ[[[\\\]]]___aaabbbcccdddeeefffhhhjjjllloooqqqrrrxxxxxxxxxxxxxxxxxxxxxxxxwwwwwwxxxxxxyyyzzz{{{{{{yyyyyyyyyyyyzzzzzz{{{|||yyyzzzzzz{{{{{{{{{{{{{{{zzz|||}}}}}}{{{{{{}}}}}}}}}}}}}}}}}}}}}}}}~~~||||||{{{zzzwwwtttrrrpppnnnllliiiddd^^^VVVMMMGGGGGGDDD@@@>>>>>>???>>>>>><<<>>>BBBEEEIIINNNTTTXXXYYY\\\___aaacccdddfffhhhggghhhiiijjjjjjjjjiiiiiihhhkkkmmmnnnmmmlllkkkkkkhhhhhhiiikkklllnnnoooooonnnnnnnnnmmmmmmllllllllllllmmmmmmnnnooopppqqqqqqmmmmmmnnnnnnoooppppppqqqppppppqqqsssssstttttttttvvvvvvvvvuuuuuuvvvvvvvvvyyyyyyyyyyyyyyyzzzzzzzzz||||||}}}~~~ppp```[[[[[[]]]___aaa^^^\\\ZZZYYYZZZYYYWWWUUUPPPNNNKKKJJJIIIHHHFFFDDD???>>>;;;888555333222111000000000000000000000000---......///////////////,,,,,,------.../////////............/////////000...------,,,,,,,,,------000111222333444333222222666555888???GGGQQQaaaooowww}}}{{{ppppppxxxppp]]]NNNIIIGGGLLLQQQRRRSSSVVVUUUVVVVVVWWWYYY[[[\\\]]][[[^^^aaadddhhhnnnwww~~~|||}}}}}}{{{xxxwwwvvvuuurrrpppoooooonnnmmmkkkjjjiiiiiidddcccbbbaaa```___^^^^^^[[[[[[ZZZZZZYYYYYYXXXXXXYYYYYYYYYXXXWWWUUUTTTSSSTTTTTTTTTTTTSSSSSSSSSSSSPPPPPPPPPPPPPPPQQQRRRSSSUUUUUUTTTTTTTTTUUUWWWXXXXXXYYYZZZ\\\^^^```aaabbbdddeeefffhhhjjjlllnnnoooyyyxxxxxxxxxwwwwwwvvvvvvttttttuuuvvvwwwxxxxxxyyyxxxxxxxxxxxxyyyzzz{{{{{{wwwwwwxxxyyyyyyyyyyyyxxxxxxzzz|||zzzxxxxxxzzz}}}{{{|||||||||||||||||||||zzzzzzyyywwwuuurrrooommmkkkiiieeeaaa[[[RRRIIICCC@@@===:::999:::<<<<<<<<<:::===AAAEEEIIIMMMRRRUUUXXX[[[^^^aaabbbccceeegggeeefffhhhiiiiiiiiihhhggghhhjjjlllllllllkkkkkklllggghhhiiijjjlllmmmoooooonnnnnnmmmmmmmmmlllllllllkkklllmmmnnnooopppqqqrrrlllmmmmmmnnnoooppppppqqqooooooqqqrrrssstttttttttuuuuuuttttttttttttuuuuuuyyyyyyyyyyyyyyyyyyzzzzzz{{{{{{|||}}}oooaaa___```___\\\^^^]]]\\\\\\\\\ZZZVVVTTTPPPNNNJJJHHHGGGGGGEEEDDDBBB???;;;777555333111///000000000000////////////------...///000111222222////////////////////////222222111111000...---,,,000///...///000111000///111111111222333333444444222222555<<>>@@@BBBDDDHHHLLLPPPUUUXXX[[[^^^___aaaccceeefffggghhhiiiiiihhhffffffggggggggggggggghhhhhhhhhgggggghhhiiijjjlllmmmnnnnnnnnnnnnmmmlllkkkiiiiiillllllmmmnnnooooooooonnnmmmmmmnnnnnnooooooppppppooooooooopppqqqrrrttttttttttttttttttuuuvvvwwwxxxxxxxxxxxxyyyzzz{{{|||}}}}}}~~~~~~~~~iiiaaa```^^^\\\___]]]\\\\\\\\\ZZZWWWTTTQQQNNNJJJHHHHHHGGGEEEDDDCCC???;;;888666444111///000000000000////////////////////////000000000000////////////////////////000000000000000//////...000///...///000111000///000000111111222333333444666666888@@@MMM^^^nnnxxxvvvjjjffflllqqq{{{cccTTTOOOKKKMMMOOOOOOQQQTTTVVVVVVWWWXXXYYY[[[]]]^^^^^^```bbbeeejjjrrr{{{}}}wwwssspppnnnllljjjkkkmmmqqqxxx~~~}}}|||zzzwwwuuuqqqpppnnnmmmkkkjjjjjjjjjhhheeebbb```______]]]\\\ZZZZZZYYYXXXXXXXXXXXXYYYXXXXXXXXXWWWUUUSSSRRRQQQRRRRRRRRRRRRQQQPPPOOOOOONNNNNNNNNOOOOOOPPPPPPQQQPPPPPPQQQRRRSSSTTTUUUUUUVVVVVVVVVWWWXXXYYY[[[[[[^^^```cccdddfffhhhlllnnnppppppqqqqqqrrrqqqqqqqqqpppppppppqqqrrrsssssstttssssssssstttttttttuuuuuuuuuuuuttttttttttttttttttssssssssssssssssssssssssvvvwwwyyyzzzzzzyyywwwvvvtttrrrppppppooonnnllljjjbbb___YYYTTTOOOIIICCC>>>:::999999999999999::::::;;;===@@@BBBDDDGGGLLLOOOSSSVVVYYY\\\]]]___aaaccceeeeeefffggggggfffeeedddfffffffffffffffggggggggghhhhhhhhhiiijjjkkklllmmmmmmmmmmmmlllkkkjjjiiihhhkkkkkklllmmmnnnnnnnnnnnnmmmmmmmmmnnnooooooppppppooooooooopppqqqrrrssstttuuuttttttuuuuuuvvvwwwxxxxxxxxxxxxyyyzzz{{{|||}}}}}}~~~qqqddd```___]]]___^^^]]]\\\\\\ZZZWWWTTTQQQNNNKKKIIIIIIHHHFFFDDDCCC@@@<<<999777555222000000000000000////////////111000000000/////////...////////////////////////.........//////000000000000///...///000111000///000000000111222222333333888888:::BBBPPPccctttooofffeeekkkoooxxxhhhVVVOOOKKKLLLNNNNNNQQQUUUUUUUUUVVVWWWYYY[[[]]]^^^___aaacccggglllttt|||~~~vvvooojjjfffbbb```___```ccchhhqqq}}}|||{{{yyyvvvtttqqqpppnnnlllkkkjjjiiiiiihhhfffcccaaa```___]]][[[ZZZZZZYYYXXXXXXXXXXXXXXXWWWVVVVVVUUUTTTRRRQQQPPPQQQQQQPPPPPPOOONNNNNNMMMNNNNNNNNNNNNNNNNNNNNNNNNOOOOOOPPPPPPQQQRRRSSSSSSSSSSSSTTTTTTUUUVVVXXXYYY[[[]]]___aaabbbdddhhhkkklllmmmnnnooooooooooooooonnnnnnoooooopppppppppqqqppppppppppppqqqqqqqqqqqqqqqqqqpppoooooopppqqqrrrppppppppppppppppppppppppsssuuuvvvwwwwwwvvvuuusssqqqooommmlllllljjjgggeee^^^ZZZSSSMMMHHHDDD???<<<666666666777888999:::;;;;;;===???AAACCCFFFJJJNNNPPPSSSVVVXXXZZZ[[[^^^```ccccccdddeeeeeeddddddcccddddddeeeeeeffffffffffffiiihhhhhhhhhiiiiiijjjkkkllllllkkkkkkjjjiiihhhgggjjjjjjkkklllmmmmmmmmmmmmlllmmmmmmnnnnnnoooppppppooooooooopppqqqrrrssstttuuuuuuuuuuuuvvvwwwxxxxxxxxxxxxxxxyyyzzz|||}}}~~~}}}tttfffaaa```______^^^]]]]]]\\\ZZZWWWTTTQQQOOOLLLJJJJJJHHHFFFDDDCCCAAA===:::888666222000000000000000////////////000000000000////////////////////////////////////............//////000000000///...///000111000/////////000111111222222333555666:::CCCTTTiii|||nnnggghhhooorrrxxx~~~jjjVVVOOOKKKLLLNNNNNNQQQUUUUUUUUUVVVWWWYYY\\\^^^______aaadddhhhnnnuuu}}}}}}wwwooohhhbbb^^^ZZZWWWXXXYYY\\\bbbmmm{{{~~~|||{{{zzzyyyvvvsssqqqpppnnnlllkkkjjjiiiiiihhhfffcccaaa```___]]]ZZZ[[[ZZZYYYXXXXXXWWWXXXXXXUUUUUUUUUTTTSSSQQQPPPOOOPPPOOONNNNNNMMMMMMLLLLLLMMMMMMMMMMMMMMMLLLLLLLLLMMMNNNNNNOOOPPPQQQQQQQQQRRRRRRRRRRRRSSSUUUVVVWWWYYY[[[]]]^^^___bbbeeegggjjjjjjlllmmmnnnnnnnnnnnnllllllmmmmmmmmmmmmmmmmmmmmmmmmnnnnnnnnnooooooooonnnmmmlllkkkkkklllmmmnnnnnnnnnnnnnnnnnnnnnnnnnnnqqqrrrtttuuuuuutttrrrqqqnnnllljjjjjjiiigggccc```ZZZUUUNNNGGGCCC@@@===;;;666666666666777888999::::::<<<>>>???AAADDDIIILLLMMMPPPTTTVVVWWWYYY[[[]]]aaabbbbbbbbbccccccccccccdddddddddeeeeeeffffffgggiiihhhhhhgggggghhhhhhhhhkkkkkkjjjhhhggggggffffffhhhiiijjjkkkllllllmmmmmmllllllmmmmmmnnnoooooopppnnnnnnooooooppprrrssstttuuuuuuuuuuuuvvvwwwxxxxxxxxxxxxxxxyyy{{{|||~~~~~~~~~uuuhhhbbb``````___^^^]]]]]]]]][[[WWWUUUQQQOOOMMMLLLKKKIIIGGGDDDDDDAAA>>><<<:::777333111000000000000////////////.........///000111111111////////////////////////000000///...---.........000///...///000111000///000000000111222222333333333555;;;HHH[[[rrr~~~lllfffgggrrrtttxxx}}}dddTTTNNNKKKLLLNNNOOORRRVVVUUUUUUVVVXXXZZZ]]]___```___aaaeeejjjooowww~~~tttoooggg```\\\XXXUUUSSSRRRSSSVVV]]]hhhwww~~~}}}|||yyyvvvrrrqqqooommmkkkjjjiiiiiihhhfffdddbbbaaa```]]][[[[[[[[[YYYXXXXXXWWWWWWWWWTTTTTTTTTSSSRRRQQQPPPOOOOOONNNMMMLLLKKKKKKLLLLLLLLLLLLLLLLLLLLLLLLLLLKKKMMMMMMNNNNNNOOOOOOPPPPPPQQQQQQQQQRRRSSSTTTUUUVVVXXXYYY[[[]]]^^^```ccceeehhhhhhjjjkkklllmmmnnnnnnkkkkkkkkkkkkkkkjjjjjjjjjlllllllllmmmmmmmmmnnnnnnmmmllljjjiiiiiijjjjjjkkklllllllllllllllllllllllloooppprrrssssssrrrpppoookkkjjjhhhgggfffccc___\\\VVVQQQIIICCC???===;;;999888888777777777777888888999;;;===>>>@@@CCCGGGJJJLLLNNNRRRTTTUUUWWWZZZ[[[````````````aaaaaabbbbbbccccccddddddeeefffgggggghhhhhhgggfffffffffggggggjjjiiihhhfffeeeeeeeeeeeefffggghhhjjjkkkkkklllllllllllllllmmmnnnnnnoooooonnnnnnnnnooopppqqqssssssttttttttttttuuuvvvwwwxxxxxxxxxyyyzzz{{{}}}~~~uuuhhhaaa______```___^^^]]]]]][[[XXXUUUQQQOOONNNMMMLLLJJJGGGEEEDDDBBB???===;;;888444111000000000000////////////------...///000111222222////////////////////////111000...---,,,---......000///...///000111000///000111111222333333444444555888@@@OOOddd{{{{{{hhhcccfffrrrsssxxx}}}pppZZZQQQLLLJJJMMMPPPQQQSSSVVVVVVVVVWWWYYY[[[^^^```aaa```cccggglllrrryyy{{{vvvjjjeee^^^XXXTTTRRROOOMMMKKKLLLOOOVVVbbbsss~~~}}}}}}{{{xxxvvvtttsssqqqooommmkkkjjjjjjfffeeeccccccbbbaaa^^^\\\\\\[[[ZZZXXXXXXWWWWWWWWWSSSSSSSSSSSSRRRQQQPPPOOOOOONNNMMMKKKJJJKKKKKKLLLLLLLLLLLLLLLLLLLLLLLLLLLMMMMMMMMMNNNNNNOOOOOOOOOPPPQQQQQQQQQRRRTTTUUUVVVWWWXXXZZZ[[[\\\^^^aaaccceeefffhhhiiikkklllmmmmmmkkkkkkjjjjjjiiiiiihhhhhhkkkkkkkkkllllllllllllmmmmmmllllllkkkjjjiiihhhhhhiiiiiiiiiiiiiiiiiiiiiiiilllmmmnnnppppppnnnmmmlllhhhgggfffeeeccc```[[[WWWQQQLLLFFF@@@===;;;999777888888777666666666777777888:::<<<===>>>AAAEEEHHHIIILLLOOORRRSSSUUUWWWYYY]]]]]]]]]]]]^^^___``````aaaaaabbbcccdddeeeffffffggggggfffeeeeeefffffffffiiihhhfffdddcccccccccddddddeeeggghhhiiijjjkkkkkkkkkllllllmmmmmmnnnoooooonnnnnnnnnooopppqqqrrrssssssssssssssstttuuuvvvvvvxxxxxxyyyzzz{{{}}}~~~~~~qqqddd^^^^^^``````___^^^]]]]]][[[XXXUUUQQQPPPNNNNNNMMMKKKGGGEEEEEECCC@@@>>><<<999555111000000000000////////////......//////000000111111///////////////////////////...---,,,,,,---///000000///...///000111000///222222222333444444555555666;;;DDDTTTiiiyyyiiihhhnnntttvvv{{{yyy```RRRNNNJJJJJJOOORRRRRRSSSVVVWWWWWWXXXZZZ]]]___bbbcccbbbeeejjjpppuuu}}}{{{qqqjjjaaa\\\UUUPPPLLLJJJGGGFFFDDDFFFJJJSSS```sss~~~}}}|||zzzwwwuuuvvvtttrrrpppnnnlllkkkkkkeeedddcccccccccbbb```]]]\\\[[[ZZZYYYWWWWWWWWWWWWSSSSSSSSSSSSSSSRRRQQQPPPPPPOOOMMMKKKJJJKKKLLLLLLKKKKKKKKKLLLLLLMMMMMMNNNMMMMMMNNNNNNNNNNNNOOOOOOOOOOOOOOOPPPQQQRRRTTTTTTUUUWWWXXXYYYZZZ\\\___aaabbbccceeeggghhhjjjkkkkkkkkkjjjjjjiiihhhhhhggggggiiiiiiiiijjjjjjjjjkkkkkknnnnnnnnnnnnllljjjgggeeeffffffffffffffffffffffffhhhiiijjjlllllljjjiiihhheeedddbbbaaa```\\\VVVRRRLLLHHHBBB>>>;;;888666444555444444444555666777888888999;;;<<<===@@@DDDGGGFFFIIILLLOOOPPPRRRTTTVVVZZZYYYYYYYYYZZZ[[[\\\]]]^^^______```aaabbbcccdddfffeeeeeeeeeeeeeeeffffffhhhgggeeecccbbbbbbbbbccccccdddeeegggiiijjjjjjjjjkkkkkklllmmmmmmnnnnnnooonnnnnnnnnnnnoooqqqrrrsssrrrrrrqqqrrrrrrssstttuuuxxxxxxyyyzzz|||~~~}}}}}}~~~{{{lll```\\\^^^bbb```___^^^^^^]]][[[XXXUUUQQQPPPOOONNNMMMKKKHHHEEEEEECCCAAA???===999555222000000000000////////////000000000000////////////////////////////////////---,,,++++++,,,///111333000///...///000111111///222333333444444555555666666;;;FFFUUUjjjyyynnnpppyyyyyyzzz~~~iiiWWWPPPLLLIIIJJJPPPSSSSSSTTTVVVWWWXXXYYY[[[^^^```cccddddddhhhmmmrrrxxxuuuiiiaaa[[[WWWPPPJJJFFFDDDAAA@@@AAADDDIIIRRRaaauuu|||yyywwwuuusssqqqooommmlllkkkdddcccccccccdddccc```^^^\\\[[[ZZZYYYWWWWWWVVVVVVSSSTTTTTTTTTSSSRRRQQQQQQPPPOOOMMMKKKJJJKKKLLLMMMJJJKKKKKKLLLMMMNNNNNNOOONNNNNNNNNNNNNNNOOOOOOOOONNNNNNNNNOOOPPPQQQSSSSSSTTTUUUWWWXXXXXXZZZ]]]______```bbbeeeggghhhiiiiiikkkkkkjjjiiihhhggggggfffhhhhhhhhhhhhiiiiiiiiiiiiooopppqqqpppnnnjjjfffdddddddddddddddddddddddddddeeefffgggiiiiiigggfffeeebbbaaa```___]]]YYYSSSOOOHHHEEE@@@<<<999777444222111111222333444666777888777999;;;<<<===@@@CCCFFFDDDGGGJJJLLLNNNOOORRRTTTWWWWWWVVVVVVWWWXXXZZZ[[[\\\\\\]]]^^^___```aaabbbeeeddddddddddddeeefffggghhhfffdddbbbaaaaaabbbcccbbbccceeeggghhhiiijjjjjjkkkkkkllllllmmmnnnnnnooommmmmmnnnnnnoooqqqrrrsssqqqqqqqqqqqqrrrsssttttttxxxxxxyyyzzz|||~~~}}}}}}~~~~~~zzz|||wwwkkkaaa]]]\\\\\\____________^^^]]]\\\[[[WWWTTTPPPMMMLLLKKKJJJHHHFFFCCC@@@>>>;;;888444111000000///...............//////000000000000//////////////////000000000000111000...---,,,,,,------111111111000000000000000...000111111000111333666777:::FFFXXXiiiwwwtttpppssswww|||~~~}}}mmm\\\RRRMMMIIIJJJLLLNNNQQQTTTVVVWWWWWWYYY[[[]]]]]]___aaacccdddiiipppvvv{{{{{{sssjjjaaa[[[PPPNNNIIIEEEBBBAAAAAABBB???AAAFFFQQQcccwww~~~|||{{{zzzwwwvvvtttrrrqqqooollliiijjjgggccc`````````___^^^ZZZZZZYYYYYYXXXXXXXXXWWWUUUTTTSSSRRRQQQPPPOOOOOOOOOMMMKKKJJJJJJJJJIIIHHHKKKJJJJJJJJJJJJKKKKKKLLLMMMLLLLLLKKKKKKKKKKKKKKKPPPQQQQQQRRRSSSRRRRRRRRRSSSSSSTTTVVVXXXYYYZZZ[[[^^^^^^___aaabbbeeeggghhhhhhhhhggggggfffffffffeeegggfffeeeddddddeeefffgggmmmoooqqqrrrpppkkkeeebbb``````aaabbbccccccddddddcccdddeeeeeeeeeccc```______]]]ZZZXXXVVVSSSNNNKKKCCCAAA>>>:::777555444333222222222222333444555555555666888:::===@@@BBBCCCCCCEEEHHHIIIJJJLLLNNNPPPSSSSSSSSSSSSTTTVVVXXXZZZ\\\\\\\\\]]]]]]^^^^^^^^^`````````aaabbbbbbccccccffffffgggfffeeedddbbbaaa``````bbbdddfffhhhiiijjjjjjjjjjjjjjjkkklllmmmmmmllllllmmmnnnoooqqqssstttssssssssstttttttttuuuuuuyyyyyyzzz{{{|||}}}~~~~~~|||tttsssuuurrreee\\\XXXYYYZZZ````````````___^^^]]]\\\WWWTTTPPPNNNMMMLLLJJJIIIFFFDDDAAA>>><<<888444111000000///............///......////////////............/////////000000000111000///.........//////111000000000000000000000...000111111111111444666888;;;GGGWWWfffqqq}}}rrroootttxxx}}}|||ooo```SSSLLLJJJIIIJJJLLLNNNQQQSSSUUUVVVWWWYYY\\\]]]^^^___bbbdddgggkkkrrrxxx~~~yyyrrrjjjbbbYYYTTTMMMJJJFFFBBB@@@????????????AAAHHHTTTeeezzz}}}|||{{{yyywwwuuusssrrrpppmmmkkkkkkhhhdddbbbaaa```___^^^ZZZZZZYYYXXXWWWWWWVVVVVVTTTTTTSSSRRRQQQPPPOOOOOOOOOMMMKKKJJJJJJJJJIIIHHHJJJIIIIIIIIIJJJKKKLLLLLLLLLLLLKKKJJJIIIIIIIIIIIINNNOOOOOOPPPPPPPPPPPPPPPQQQRRRSSSUUUWWWYYYZZZ[[[^^^^^^___```aaaccceeeffffffffffffeeeeeedddddddddgggfffeeedddcccddddddeeeiiikkkmmmnnnmmmiiidddaaa^^^^^^___``````aaabbbbbb```aaabbbcccbbb```^^^]]]]]][[[XXXVVVSSSOOOKKKGGG@@@???;;;888555333222222222222111222222333444555444555777999;;;>>>???@@@BBBDDDFFFHHHIIIJJJMMMOOOPPPPPPPPPQQQRRRTTTVVVXXXYYYYYYZZZZZZ[[[[[[\\\\\\]]]]]]^^^______``````aaaeeefffffffffeeedddbbbaaabbbbbbcccdddeeefffggggggjjjiiiiiijjjjjjkkklllmmmlllllllllmmmoooqqqrrrsssrrrrrrssssssttttttuuuuuuyyyyyyzzz{{{|||}}}}}}~~~|||rrrnnnmmmtttzzzmmm```WWWUUUWWWYYY```aaaaaaaaaaaa```^^^]]]XXXUUUQQQNNNMMMMMMKKKIIIGGGDDDAAA???<<<999555222111000//////......//////---......//////......---------........./////////000////////////000111111000000000000000000111111///000111111111222444666:::>>>IIIXXXdddmmmvvv~~~oooooouuuzzz}}}qqqaaaTTTKKKIIIIIIJJJKKKLLLNNNQQQSSSTTTUUUXXXZZZ\\\]]]^^^___bbbeeeiiinnnuuu|||zzzuuummmfff^^^WWWPPPLLLGGGEEEBBB>>><<<<<<<<<<<<>>>BBBJJJXXXjjj~~~~~~|||||||||yyyuuusssrrrqqqooonnnmmmjjjfffcccbbbaaa```^^^[[[ZZZYYYXXXWWWVVVUUUTTTTTTTTTSSSRRRQQQPPPPPPOOOOOOMMMKKKJJJKKKJJJIIIHHHHHHHHHHHHIIIJJJKKKLLLMMMLLLKKKJJJIIIHHHGGGGGGGGGKKKLLLMMMMMMNNNNNNMMMMMMOOOPPPRRRTTTVVVXXXZZZ[[[]]]]]]^^^^^^___aaabbbcccdddddddddccccccccccccbbbfffeeedddbbbaaaaaaaaaaaabbbdddggghhhhhheeebbb```[[[\\\\\\]]]]]]^^^^^^^^^]]]]]]^^^^^^^^^\\\[[[ZZZZZZXXXUUURRROOOKKKFFFBBB===;;;888555222111000000111111111111222333444555444555666888:::;;;<<<===@@@BBBDDDEEEFFFGGGJJJLLLKKKLLLLLLNNNPPPRRRTTTUUUUUUUUUVVVWWWXXXXXXYYYYYYZZZZZZ[[[[[[\\\]]]]]]]]]ddddddeeefffeeedddbbbaaaddddddddddddddddddddddddiiiiiiiiiiiijjjkkkllllllkkkkkklllmmmnnnoooqqqrrrqqqqqqrrrsssssstttuuuuuuyyyyyyzzzzzz{{{{{{{{{|||~~~uuuooommmiiizzzzzzlll___VVVTTTVVVYYYaaaaaabbbccccccaaa___^^^YYYVVVRRROOONNNMMMLLLJJJHHHEEEBBB@@@===:::666333111000000///.../////////......////////////......------------.........///---......//////000111111000000000000000111111111///000111111111222444666;;;AAAMMM\\\eeekkkttt|||{{{nnnooowww||||||kkk[[[PPPKKKJJJKKKJJJKKKLLLNNNPPPRRRTTTTTTYYYZZZ\\\]]]]]]___ccceeejjjooowww~~~{{{rrrlllddd\\\UUUOOOJJJFFFBBBAAA>>><<<;;;::::::;;;>>>CCCMMM\\\nnn~~~|||{{{}}}yyyuuurrrqqqpppooonnnooolllhhheeedddbbb```^^^]]]\\\[[[YYYXXXVVVUUUUUUTTTSSSSSSRRRQQQQQQPPPPPPPPPNNNKKKJJJKKKKKKJJJHHHGGGGGGHHHHHHIIIJJJLLLLLLLLLKKKJJJHHHGGGGGGGGGGGGJJJJJJKKKLLLLLLLLLLLLLLLMMMNNNPPPRRRUUUWWWXXXYYY\\\\\\\\\\\\]]]^^^___```ccccccbbbbbbbbbbbbbbbbbbddddddbbbaaa___^^^]]]]]]\\\^^^```bbbbbbaaa___^^^YYYZZZZZZZZZ[[[[[[[[[\\\YYYZZZZZZZZZZZZYYYXXXWWWXXXUUURRROOOLLLGGGBBB>>>:::888555333111000//////000000000111111222333444555555666888999:::;;;;;;===???BBBCCCCCCDDDGGGIIIHHHHHHJJJKKKMMMOOOQQQRRRRRRRRRSSSTTTUUUVVVWWWWWWWWWWWWXXXYYYYYYZZZZZZ[[[aaabbbcccddddddcccbbbaaaccccccccccccddddddddddddhhhhhhhhhhhhiiijjjkkkkkkjjjjjjkkkkkklllnnnooopppooopppqqqrrrssstttuuuuuuyyyyyyyyyyyyzzzzzzzzzzzz}}}~~~xxxooojjjeeesss~~~oooaaaWWWTTTUUUXXX```aaacccddddddbbb```___ZZZWWWSSSPPPOOONNNMMMKKKIIIFFFCCCAAA>>>;;;777444111111000///////////////000000111111111111000000------------.........///+++,,,---...///000000000//////000000111111111111///111222222111222555777:::AAAOOO^^^gggkkksss{{{yyynnnrrrzzz~~~zzzhhhYYYPPPMMMKKKJJJIIIJJJLLLNNNPPPRRRTTTUUUYYYZZZ[[[\\\]]]___cccfffjjjpppxxx{{{uuupppkkkeee]]]UUUOOOKKKFFFDDD???>>><<<;;;;;;;;;;;;;;;>>>DDDPPP```rrr}}}{{{zzz|||xxxtttqqqpppooonnnmmmooollliiigggeeeccc```^^^^^^^^^]]][[[ZZZXXXWWWVVVSSSSSSRRRRRRQQQQQQPPPPPPPPPNNNLLLKKKKKKKKKJJJIIIGGGGGGGGGGGGHHHIIIJJJKKKLLLKKKJJJIIIHHHHHHHHHHHHJJJJJJKKKLLLLLLLLLLLLLLLLLLMMMOOOQQQSSSUUUVVVWWWYYYYYYYYYZZZ[[[\\\]]]^^^bbbbbbbbbbbbbbbbbbbbbbbbcccbbbaaa```^^^\\\[[[ZZZYYYZZZ[[[]]]]]]]]]\\\[[[XXXXXXXXXXXXYYYYYYYYYYYYVVVWWWWWWWWWWWWVVVVVVUUUUUURRROOOLLLIIIDDD???;;;888666444222111000000000000000000000111222333333666666777888999:::;;;;;;;;;===???@@@AAABBBDDDFFFEEEFFFHHHJJJLLLMMMNNNOOONNNOOOPPPQQQSSSTTTVVVVVVUUUUUUVVVVVVWWWXXXXXXXXX\\\]]]___```aaaaaa```______```aaabbbccceeeffffffgggggggggggghhhiiijjjjjjiiiiiijjjjjjkkklllmmmnnnnnnnnnoooqqqrrrtttuuuvvvxxxxxxxxxxxxyyyyyyyyyyyy}}}~~~zzzmmmggghhhrrrwwwggg\\\VVVUUUVVV___aaaccceeeeeecccaaa___[[[XXXTTTQQQPPPOOONNNLLLJJJGGGDDDBBB???<<<888555222111000000//////000000000111111222222111111000------........./////////++++++---.../////////////////////000111111222222000111222222222333555777888AAAQQQaaaiiilllsss{{{yyyqqqvvv}}}uuucccUUUNNNLLLIIIGGGGGGIIIKKKMMMPPPSSSUUUVVVYYYZZZZZZ[[[[[[^^^bbbeeejjjpppxxx~~~{{{xxxssslllfffaaa]]]VVVOOOKKKGGGCCCAAA<<<<<<;;;;;;;;;<<<<<<<<>>??????@@@BBBDDDDDDDDDFFFHHHIIIJJJJJJJJJKKKKKKMMMOOOPPPRRRTTTTTTRRRRRRSSSTTTTTTUUUUUUVVVWWWXXXZZZ\\\]]]]]]]]]]]]]]]]]]___aaaccceeeggghhhffffffffffffggghhhiiiiiiiiiiiiiiiiiijjjkkklllllllllmmmnnnppprrrtttuuuvvvvvvwwwwwwwwwxxxxxxyyyyyy}}}}}}~~~~~~ssskkklllsssssseee]]]ZZZYYY^^^```ccceeeeeeccc```___[[[XXXUUURRRQQQPPPOOOMMMJJJHHHEEEBBB@@@===888555222111000000//////000000000000111111111111000000....../////////000000000,,,---...///000000//////...//////000111111222222000111222222222333555777===GGGXXXhhhoooqqqwwwzzztttzzzppp\\\OOOJJJIIIGGGDDDFFFGGGIIIMMMPPPSSSUUUWWWXXXYYYYYYYYYZZZ]]]aaaeeekkkqqqzzz~~~{{{wwwtttqqqkkkccc]]]WWWSSSMMMHHHEEEAAA>>>;;;:::::::::;;;;;;<<<<<<===???GGGTTTdddttt~~~}}}{{{xxxvvvtttsssqqqnnnlllllljjjhhhgggfffdddaaa___]]]]]]\\\\\\[[[ZZZYYYYYYRRRRRRRRRRRRQQQQQQQQQQQQQQQNNNLLLKKKLLLLLLKKKIIIIIIHHHHHHGGGGGGGGGGGGGGGHHHGGGGGGGGGGGGHHHHHHIIIIIIIIIJJJKKKKKKKKKKKKJJJLLLLLLMMMNNNOOOPPPQQQRRRTTTTTTTTTVVVWWWYYY[[[\\\^^^_________`````````aaa____________^^^\\\ZZZYYYZZZYYYYYYXXXWWWVVVVVVVVVSSSSSSSSSSSSSSSSSSSSSSSSOOOOOOOOOOOOOOOOOOOOOPPPLLLJJJGGGEEEBBB>>>999666333222111000///000000111///////////////000222222222333444555777888:::::::::;;;===>>>>>>???AAABBBAAABBBDDDEEEFFFFFFEEEEEEGGGHHHIIIKKKMMMOOOQQQRRROOOOOOPPPPPPQQQRRRRRRRRRRRRSSSVVVXXXYYYZZZZZZZZZ\\\]]]___aaaccceeefffgggeeeeeeeeeeeefffggghhhiiihhhhhhhhhhhhiiijjjkkkkkkkkklllmmmooorrrtttuuuvvvtttuuuuuuvvvwwwxxxyyyyyy}}}}}}|||}}}~~~{{{tttnnnuuu}}}nnnddd___]]]^^^```bbbeeeeeeccc```^^^\\\YYYUUUSSSRRRQQQOOONNNKKKIIIEEECCC@@@===999666222111111000000000000000//////000000000000//////////////////000000000000---...000111111111000///...//////000111222222222000111222333222333555777CCCNNN___ooouuuvvv{{{{{{www}}}oooYYYKKKGGGHHHGGGDDDEEEFFFIIILLLPPPTTTVVVXXXXXXXXXXXXXXXYYY\\\```dddlllrrr{{{uuurrrnnnkkkgggaaaYYYRRROOOKKKGGGCCC@@@===:::777888888999:::;;;<<<<<<<<<@@@GGGUUUdddsss{{{yyywwwvvvuuusssooommmkkkiiiggggggfffdddbbb___\\\[[[[[[[[[ZZZZZZYYYYYYRRRRRRRRRRRRRRRQQQQQQQQQQQQOOOLLLLLLLLLLLLKKKIIIJJJIIIHHHGGGFFFFFFFFFFFFEEEEEEEEEEEEFFFGGGHHHIIIHHHHHHIIIJJJJJJJJJIIIIIILLLMMMMMMNNNOOOOOOPPPPPPRRRRRRSSSTTTVVVYYYZZZ\\\]]]]]]]]]^^^^^^_________^^^_________^^^\\\[[[YYY[[[ZZZYYYWWWVVVUUUUUUUUUQQQQQQQQQQQQQQQQQQQQQQQQMMMMMMLLLLLLLLLLLLMMMNNNHHHFFFDDDBBB@@@<<<777444222111000///...///000000.........//////000111222000111222444666777999999:::;;;===>>>>>>>>>@@@BBB@@@AAABBBCCCDDDCCCBBBBBBDDDEEEGGGIIIKKKMMMOOOPPPMMMMMMMMMNNNOOOOOOPPPPPPOOOQQQSSSUUUWWWXXXXXXXXX]]]^^^___aaabbbdddeeefffeeeeeeeeeeeeeeeggghhhhhhhhhhhhggghhhhhhiiijjjjjjjjjkkkmmmoooqqqtttuuuvvvssstttuuuvvvwwwxxxyyyzzz||||||||||||}}}~~~|||{{{ttthhhbbb______^^^aaaggghhhdddaaaaaa___]]]XXXTTTQQQPPPPPPPPPKKKHHHEEEBBB@@@===:::777222222111111000/////////000000////////////000000111111000///////////////......///000000000000000000000000000111111111111777222///111222222444777CCCUUUhhhrrrxxx}}}{{{{{{}}}lllWWWOOOKKKEEECCCDDDGGGIIIMMMOOOPPPRRRTTTVVVWWWYYY\\\]]]\\\^^^cccgggnnnwww}}}wwwrrrmmmkkkgggccc___YYYQQQMMMEEEDDDBBB@@@>>><<<;;;;;;777999:::::::::;;;>>>@@@CCCIIITTT```mmmyyy}}}{{{xxxvvvuuussspppnnnmmmllljjjgggdddbbb___^^^```___]]][[[YYYYYYYYYYYYUUUTTTRRRRRRSSSTTTSSSRRRMMMMMMLLLLLLKKKKKKJJJJJJIIIIIIIIIIIIIIIIIIIIIIIIGGGGGGGGGGGGGGGGGGGGGGGGFFFFFFGGGHHHHHHIIIJJJJJJJJJKKKMMMMMMMMMMMMOOOQQQMMMNNNOOOQQQSSSVVVWWWXXX\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\[[[ZZZXXXVVVUUUTTTWWWYYYWWWTTTSSSUUUXXXRRRPPPNNNMMMNNNNNNMMMLLLIIIIIIJJJJJJKKKJJJJJJJJJGGGDDD@@@===;;;999666444000000000000////////////000000000000111111111111222222222333555777888999999::::::;;;<<<===>>>>>>@@@@@@AAAAAABBBCCCCCCDDDCCCCCCDDDFFFHHHJJJLLLMMMMMMKKKJJJIIIIIIJJJKKKMMMPPPPPPQQQRRRTTTVVVWWWXXXYYY[[[]]]```bbbcccccccccddddddccccccddddddeeeeeeeeefffggghhhiiijjjkkkkkknnnnnnoooppprrrssstttuuuuuutttsssrrrrrrsssuuuvvv{{{{{{{{{{{{|||}}}uuujjjbbbcccaaabbbfffgggdddaaabbb___]]]YYYVVVSSSQQQPPPPPPKKKIIIEEECCCAAA>>>:::888222222111111000/////////000000////////////000000111111000///////////////...//////000000000000000000000000000111111111111555111000333555555777;;;FFFXXXkkkvvv{{{yyyzzz~~~rrrXXXOOOLLLHHHFFFHHHFFFIIILLLOOOQQQRRRUUUWWWWWWZZZ]]]]]]]]]___dddiiioooxxx}}}wwwqqqlllgggddd```\\\WWWRRRKKKGGGBBBAAA???===;;;:::999999777888:::::::::;;;>>>@@@DDDJJJUUU```lllwww~~~|||yyywwwvvvtttqqqoooooonnnllliiifffdddbbbaaa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```aaabbbbbbaaaaaaaaabbbccceeeggghhhhhhhhhhhhiiiiiikkkllllllmmmnnnooopppqqqssstttttttttssssssrrrssstttuuuuuuzzzzzzzzz{{{|||~~~|||nnnjjjfffdddfffgggdddbbbddd___^^^\\\YYYUUUSSSPPPOOOLLLJJJFFFDDDBBB???<<<999333222222111000000000000111000000//////000000111111000000///////////////////////////000000000000000000000000111111111111333000111555777888:::???JJJ[[[ooozzzyyyuuuyyy~~~{{{[[[NNNKKKIIIHHHIIIFFFHHHLLLOOOQQQSSSVVVXXXXXX[[[]]]^^^^^^aaafffkkkpppzzzzzzuuuooohhhddd___\\\VVVQQQMMMHHHDDD@@@>>>===;;;999888777666666777888999::::::;;;===@@@DDDJJJTTT^^^iiisss|||~~~{{{yyyxxxuuussspppooonnnllljjjgggeeecccbbb^^^]]]\\\ZZZYYYXXXWWWWWWWWWUUUSSSSSSTTTUUUTTTSSSOOONNNMMMLLLKKKJJJIIIHHHIIIIIIIIIIIIHHHHHHHHHHHHFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFGGGHHHHHHIIIIIIGGGHHHJJJJJJJJJJJJLLLNNNMMMNNNOOOQQQSSSUUUVVVWWWXXXXXXXXXXXXXXXXXXXXXXXXWWWXXXXXXXXXXXXWWWVVVUUUVVVUUUTTTTTTTTTUUUSSSRRRSSSQQQNNNMMMMMMLLLJJJIIICCCDDDDDDEEEEEEDDDCCCCCCAAA>>>:::888666444222000000000000/////////......//////000000000000111111111111111222222444555555888888999:::;;;<<<======<<<======>>>>>>???@@@@@@@@@@@@@@@AAABBBCCCEEEEEEFFFHHHJJJKKKKKKJJJHHHFFFIIIIIIJJJLLLNNNPPPRRRTTTVVVWWWZZZ]]]___`````````_________```bbbeeeiiikkkjjjjjjiiiiiiiiikkklllmmmmmmmmmnnnoooqqqrrrssssssssssssrrrrrrssstttuuuuuuxxxyyyyyyzzz|||~~~|||ssslllfffggggggddddddeee```___^^^[[[XXXTTTQQQOOOMMMJJJGGGDDDCCC@@@===:::444333222000000000000000111000000000000000000111000000////////////000000///////////////000000111///000000000111111111111222000222666888888;;;@@@NNN___rrr~~~rrrrrrxxx~~~```NNNJJJHHHFFFGGGEEEHHHLLLOOOQQQTTTVVVYYYYYY\\\^^^______bbbiiinnnsss||||||xxxrrrmmmggg```\\\XXXTTTNNNHHHDDDAAA>>><<<::::::888777666666555555777888999::::::;;;===@@@EEEJJJTTT]]]fffooovvv{{{}}}{{{yyywwwtttrrrmmmlllkkkhhhfffcccbbbaaa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```^^^^^^^^^^^^aaadddhhhjjjjjjiiihhhhhhhhhiiikkklllllllllmmmnnnpppqqqrrrrrrrrrrrrrrrrrrsssttttttuuuwwwwwwxxxyyy{{{~~~{{{rrrjjjhhhhhheeedddeee``````___]]]YYYUUUQQQNNNLLLJJJGGGEEECCCAAA>>>;;;555444222000///000111111111111000000000000111111000000////////////000000000//////...///000111111///000000000111111111111222111333666777666:::@@@RRRcccvvvyyyoooqqqxxxgggRRRLLLHHHEEEFFFFFFIIIMMMPPPRRRTTTVVVXXXYYY\\\^^^^^^___cccjjjpppuuu~~~yyyuuupppkkkeee___YYYUUURRRMMMGGGCCC@@@>>><<<:::999888777777666666666777777999:::::::::<<<>>>@@@HHHNNNVVV___gggnnnuuuxxx|||{{{xxxuuurrrnnnmmmkkkiiigggdddcccbbb``````___^^^]]][[[ZZZYYYXXXVVVTTTSSSTTTTTTSSSRRROOOOOONNNLLLKKKIIIHHHHHHIIIIIIHHHHHHHHHGGGGGGGGGEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEFFFFFFFFFFFFFFFGGGFFFHHHJJJJJJJJJJJJLLLMMMLLLMMMNNNOOOQQQRRRTTTTTTSSSSSSSSSRRRRRRQQQQQQQQQSSSSSSSSSSSSSSSTTTTTTTTTUUURRROOOPPPRRRRRRPPPMMMNNNKKKHHHGGGFFFEEECCCBBBAAAAAABBBBBBAAA@@@??????===:::777555444333111///////////////...............////////////000000000000000000000000111222333666666777888999:::;;;;;;;;;;;;;;;<<<======>>>>>>???????????????@@@AAAAAAGGGFFFEEEDDDDDDEEEFFFGGGEEEFFFGGGHHHJJJMMMOOOPPPRRRTTTWWWZZZ\\\^^^_________^^^^^^^^^```bbbeeefffggggggfffffffffhhhiiijjjjjjkkklllmmmooopppqqqqqqpppqqqrrrsssssstttttttttvvvwwwwwwyyy{{{}}}wwwmmmjjjiiigggeeeeeeaaa```___\\\YYYTTTQQQNNNLLLIIIFFFDDDCCCAAA>>>;;;666444222000///000111222222111111000000111111222///////////////000000111000///.........///111222000000000000111111111111333222333666555666<<>>>>>>>>>>>===<<<;;;;;;;;;999666444444333111000/////////.........------......////////////000000/////////000000222333333555555666777888999::::::999::::::;;;<<<<<<======>>>>>>>>>>>>???@@@AAAAAAFFFEEECCCBBBBBBCCCEEEFFFEEEEEEFFFGGGIIIKKKMMMNNNOOOQQQTTTWWWZZZ\\\]]]]]]^^^^^^______```aaabbbcccccccccdddeeefffggghhhhhhjjjjjjkkklllnnnoooppppppooopppqqqsssttttttttttttvvvwwwwwwxxxzzz|||}}}~~~{{{ooolllkkkhhheeedddbbbaaa___[[[WWWTTTPPPOOOKKKIIIFFFDDDBBB@@@>>>;;;666444222000///000222333222111111000000111111222///////////////000111111000000.........///111222000000000000111111111111333222333555555777@@@JJJaaasssyyyrrruuu|||dddTTTNNNIIIHHHKKKJJJLLLOOOQQQRRRSSSUUUVVVYYY[[[\\\]]]___dddlllrrryyyyyyuuuqqqooofffbbb]]]WWWSSSNNNIIIFFFCCC@@@===;;;::::::999777777666666666777888999999:::;;;=========>>>AAACCCIIIOOOWWW```ggglllqqqtttuuuzzz}}}{{{yyyuuussspppooonnnllljjjhhhgggfff````````````^^^\\\ZZZYYYWWWUUURRRQQQRRRRRRPPPOOONNNMMMMMMLLLKKKJJJJJJIIIIIIIIIHHHHHHGGGFFFFFFEEEDDDDDDDDDDDDDDDDDDDDDDDDEEEEEEEEEEEEEEEEEEEEEEEEDDDFFFGGGHHHHHHHHHJJJKKKIIIJJJKKKLLLMMMNNNOOOPPPQQQPPPPPPOOONNNNNNMMMMMMQQQQQQPPPOOOOOOOOOPPPQQQPPPQQQQQQOOOMMMKKKKKKLLLHHHFFFDDDCCCCCCCCCBBB@@@============<<<;;;::::::999777444333333222111/////////.........---------........./////////000000/////////000111333444555444555555666777888999:::777888888999::::::;;;;;;<<<<<<<<<===>>>???@@@AAACCCCCCBBBBBBBBBBBBCCCCCCEEEEEEEEEFFFGGGHHHJJJJJJLLLNNNQQQTTTWWWYYYZZZZZZ\\\]]]^^^```aaaaaaaaaaaa___```cccfffggghhhggggggiiiiiijjjlllmmmnnnooopppnnnoooqqqsssttttttttttttwwwwwwwwwxxxyyy{{{|||}}}|||}}}qqqmmmmmmiiieeeccccccaaa^^^ZZZVVVSSSPPPOOOJJJHHHEEECCCBBB@@@===;;;777555222000///000222333222222111111111111222222///////////////000111111111000...---...///111222000000000000111111111111333222333666666999DDDOOOhhhyyy{{{tttwww}}}vvv[[[OOOJJJGGGGGGLLLKKKMMMPPPQQQRRRRRRTTTVVVXXXZZZ\\\\\\^^^ccclllrrrzzzxxxrrrmmmiiiggg___[[[VVVQQQLLLHHHDDDAAA===;;;999888888888777555666555555666666888999999;;;<<<===>>>>>>???AAADDDDDDJJJSSS[[[bbbggglllooorrrvvv|||}}}{{{xxxuuurrrnnnmmmllljjjhhhfffeeeddd______```___^^^\\\ZZZXXXVVVTTTRRRQQQQQQQQQPPPNNNMMMMMMLLLLLLKKKKKKJJJJJJIIIIIIHHHHHHGGGFFFEEEEEEDDDDDDDDDDDDDDDDDDDDDDDDEEEEEEEEEEEEDDDDDDDDDDDDCCCDDDFFFFFFFFFGGGHHHJJJHHHIIIJJJKKKLLLMMMNNNOOOPPPPPPOOOOOONNNMMMMMMLLLQQQQQQOOONNNMMMNNNOOOOOONNNPPPQQQOOOKKKIIIJJJMMMHHHFFFCCCCCCCCCCCCBBBAAA????????????>>>===<<<;;;888555333222222111000...//////.........---------............/////////000......///000222333555666444444555666777888999999666666666777888888999999;;;;;;;;;<<<===>>>???@@@@@@AAACCCDDDDDDCCCAAA@@@DDDDDDDDDEEEEEEFFFGGGHHHIIIKKKNNNQQQTTTVVVWWWXXXYYY[[[^^^```bbbbbbaaa```]]]___cccgggiiiiiihhhggghhhiiijjjkkkmmmnnnoooooonnnoooqqqsssttttttttttttxxxxxxxxxxxxyyyzzz{{{|||}}}}}}vvvnnnkkkkkkkkkhhhddddddccc```\\\WWWRRRNNNLLLJJJJJJIIIGGGDDDAAA>>><<<888555111//////000//////111111000//////...//////111111000///////////////111111000000//////........./////////000000000111222333555777777;;;HHHUUUrrr{{{~~~~~~}}}~~~{{{eeeRRRMMMKKKFFFGGGMMMLLLNNNPPPQQQRRRSSSUUUWWWZZZZZZ[[[]]]```fffnnnsss}}}wwwnnnfff```[[[XXXSSSQQQNNNJJJFFFBBB???>>><<<;;;999777666777888999777888888999;;;<<<=========>>>>>>>>><<<<<<>>>@@@EEEGGGJJJNNNSSSZZZccchhhiiiooovvv{{{~~~|||yyywwwtttrrrrrrpppmmmlllkkkiiifffdddbbbaaa^^^\\\YYYWWWVVVVVVVVVUUUSSSQQQPPPOOOPPPPPPPPPOOOMMMLLLJJJIIIIIIHHHIIIIIIHHHHHHHHHHHHGGGGGGGGGFFFFFFEEEEEEEEEEEEEEEEEEEEEEEEEEEFFFFFFFFFFFFGGGHHHHHHHHHHHHHHHHHHIIIKKKKKKKKKKKKKKKLLLMMMNNNNNNNNNMMMMMMMMMMMMNNNNNNOOOOOOOOONNNNNNNNNMMMMMMOOOMMMLLLKKKLLLKKKIIIHHHGGGFFFEEECCCAAA@@@@@@@@@;;;;;;:::999888777666555222222111111000/////////............---,,,+++***////////////////////////111000///...///111333444888555222111222444444444555666777888888999999888666777999;;;<<<<<<<<<;;;<<<<<<===???@@@AAABBBCCCBBBBBBCCCCCCDDDEEEEEEEEEJJJKKKLLLNNNPPPRRRSSSTTTWWWYYY[[[]]]```aaabbbcccaaaaaaaaa```aaaaaabbbccceeefffhhhjjjlllmmmnnnnnnmmmmmmnnnpppqqqrrrssstttuuuwwwxxxyyyyyyyyy{{{}}}~~~}}}sssooojjjiiiiiiiiihhhfffdddbbb```\\\WWWSSSOOOMMMKKKJJJIIIHHHEEEBBB???===888555111000000000000///222111000000/////////000111111000///////////////111000000000/////////...000000000000111111111111111222444777777;;;IIIWWWwww{{{}}}~~~}}}yyy{{{ooo\\\KKKHHHHHHDDDEEEKKKLLLNNNPPPQQQRRRSSSVVVXXXXXXYYY[[[]]]aaahhhpppvvv}}}wwwnnneee___YYYTTTQQQNNNLLLJJJFFFBBB???<<<;;;999888666555444555666777888888999:::;;;<<<======<<<===>>>===<<<<<<>>>@@@BBBDDDGGGJJJOOOWWW___eeeggglllsssxxxzzz}}}}}}{{{yyyvvvtttssspppnnnlllkkkiiigggdddcccaaa___]]]ZZZXXXWWWWWWVVVUUUSSSQQQPPPOOOOOOPPPPPPOOOMMMLLLJJJIIIIIIIIIIIIIIIHHHHHHHHHGGGGGGGGGFFFFFFEEEDDDDDDDDDDDDEEEDDDDDDEEEEEEEEEFFFFFFFFFGGGGGGGGGHHHHHHHHHHHHHHHKKKKKKJJJJJJKKKKKKLLLLLLLLLLLLKKKKKKKKKKKKLLLLLLMMMMMMMMMMMMLLLLLLLLLLLLMMMLLLJJJIIIJJJIIIHHHFFFEEEDDDBBBAAA???>>>>>>>>>;;;::::::999777666666555222222111111000/////////............---,,,+++***------------------------000///......///000222444777555222111222333444333555555666777888888888888777888:::;;;<<<<<<<<<<<<>>>>>>>>>??????@@@@@@@@@AAABBBBBBCCCCCCDDDEEEEEEIIIJJJKKKMMMOOOQQQRRRSSSVVVXXXZZZ]]]___aaabbbbbbaaaaaa```aaaaaabbbcccccceeefffgggiiikkklllmmmmmmlllmmmnnnoooqqqrrrssssssuuuwwwyyyzzzyyyyyyzzz|||}}}zzzxxx{{{sssmmmffffffffffffggggggggggggdddbbb```\\\XXXSSSPPPNNNKKKKKKJJJHHHFFFBBB???===888666222000000000000///222222111000000000000111111000000///////////////000000000000////////////222222222111111111111111000111444666777===KKKZZZzzz{{{|||}}}}}}vvvvvvxxx|||ttt```QQQFFFEEEFFFDDDFFFJJJKKKNNNPPPRRRRRRTTTVVVYYYWWWYYY[[[___dddkkksssyyy|||wwwooojjjbbbZZZTTTOOOJJJHHHGGGEEECCC@@@===:::888777888777666555444555666777888999999:::;;;<<<======<<<=========<<<<<<>>>@@@@@@BBBDDDGGGLLLSSS[[[```eeejjjooosssuuuyyy~~~}}}{{{xxxvvvsssqqqnnnmmmllljjjgggeeedddccc```^^^[[[ZZZXXXXXXWWWUUUSSSQQQPPPOOOOOOOOOOOOOOOMMMKKKJJJIIIIIIIIIHHHHHHHHHHHHGGGGGGGGGGGGFFFEEEDDDDDDCCCCCCDDDDDDDDDDDDEEEEEEEEEEEEFFFFFFFFFFFFGGGGGGGGGHHHHHHHHHKKKJJJJJJJJJJJJIIIIIIIIIJJJIIIIIIHHHHHHIIIIIIJJJLLLKKKKKKKKKJJJJJJJJJJJJKKKIIIHHHGGGGGGGGGEEEDDDBBBAAA@@@>>>===<<<<<<;;;::::::999888777666555555222222111111000/////////............---,,,++++++,,,,,,,,,,,,,,,,,,,,,,,,//////......///000222333666444111111222333333222444444666777777777777777777888999;;;<<<<<<<<<<<<>>>>>>>>>>>>>>>>>>>>>>>>@@@AAAAAABBBBBBCCCDDDDDDGGGHHHIIIKKKMMMOOOQQQRRRUUUVVVXXX[[[]]]___aaaaaa````````````aaabbbddddddeeeeeeggghhhiiijjjjjjjjjllllllmmmnnnpppqqqrrrsssuuuwwwzzz{{{zzzyyyyyyyyy{{{}}}wwwoooxxxuuukkkeee^^^```ccceeeeeeeeefffgggcccbbb```]]]YYYUUUQQQOOOLLLLLLKKKIIIGGGCCC@@@>>>999666333111111111111000222222111111111111111222000000////////////000000000000000000////////////222222111111111111000000000000333666888>>>MMM\\\xxx{{{|||~~~}}}}}}~~~wwwvvvuuuuuuyyyyyynnnbbbVVVLLLEEEFFFHHHGGGHHHJJJKKKMMMPPPRRRSSSUUUXXXZZZXXXZZZ]]]aaafffmmmuuu{{{}}}wwwppplllccc^^^WWWQQQMMMHHHDDDBBB@@@???>>><<<:::777666555888888777777777888999999999::::::;;;<<<=========;;;<<<======<<<<<<>>>@@@@@@BBBDDDFFFKKKQQQYYY^^^eeeiiimmmppprrrvvv|||~~~|||zzzxxxtttrrrooonnnmmmkkkhhhfffeeedddbbb___]]][[[ZZZYYYWWWVVVSSSQQQOOOOOOOOOOOOOOONNNMMMKKKJJJJJJIIIIIIHHHHHHHHHGGGGGGGGGGGGFFFEEEEEEDDDCCCCCCCCCCCCCCCDDDDDDDDDDDDEEEEEEEEEFFFEEEEEEFFFFFFGGGGGGHHHHHHJJJJJJJJJJJJIIIHHHHHHGGGHHHHHHHHHGGGGGGHHHHHHHHHKKKKKKJJJJJJJJJIIIIIIIIIIIIHHHFFFFFFFFFFFFDDDBBB@@@???>>>===;;;;;;::::::999999888777666666555555222222111111000/////////---.........------,,,+++,,,,,,,,,,,,,,,,,,,,,,,,...............000111222444222000000111222222111333444555666666777666666666666777888999:::;;;;;;==================>>>>>>??????@@@@@@AAABBBBBBCCCEEEFFFGGGIIIKKKMMMNNNOOORRRTTTVVVYYY\\\^^^___```_________```aaabbbcccddddddeeefffggghhhhhhhhhhhhkkkkkklllmmmooopppqqqrrrtttwwwzzz{{{zzzxxxwwwwwwzzz{{{}}}~~~}}}~~~vvvkkkqqqxxxjjjaaa\\\___bbbddddddddddddeeecccbbb```]]]ZZZVVVSSSQQQMMMMMMLLLJJJHHHDDDAAA???:::777333111111222111111222111111111111111222222000000////////////000000////////////000000000000000000000000000000000000000111333666888???OOO___uuu}}}}}}}}}||||||~~~yyyxxxtttqqqqqqnnnbbbVVVOOOIIIEEEEEEGGGGGGGGGHHHJJJMMMPPPRRRSSSVVVYYY[[[[[[]]]```dddhhhooovvv{{{yyyrrrlllfffbbbYYYVVVPPPLLLHHHEEEAAA???<<<;;;:::999888777666666888888888888888999::::::;;;;;;;;;<<<<<<======>>>;;;===>>>=========???AAACCCDDDFFFHHHKKKQQQXXX]]]eeehhhllloooppptttzzz~~~}}}{{{xxxuuussspppooonnnllliiigggfffeeebbb```]]][[[ZZZZZZWWWVVVTTTQQQOOONNNNNNNNNNNNNNNMMMKKKJJJJJJJJJJJJHHHHHHGGGGGGGGGFFFFFFFFFEEEEEEDDDCCCCCCCCCCCCCCCCCCDDDDDDDDDDDDEEEEEEEEEDDDDDDEEEEEEFFFGGGHHHHHHIIIIIIJJJJJJIIIHHHGGGFFFIIIHHHHHHGGGGGGHHHHHHIIIKKKJJJJJJJJJIIIIIIIIIIIIIIIGGGEEEEEEEEEEEECCCAAA??????===<<<;;;;;;;;;;;;888777777666666555555555222222111111000/////////---------...------,,,,,,---------------------------------......///000000222000///000111222111000222222333555555555555555444444444555666777888999999::::::<<<===>>>>>>???>>>>>>>>>???@@@@@@AAAAAABBBCCCEEEGGGIIIKKKLLLMMMPPPQQQTTTWWWZZZ\\\]]]^^^____________```aaabbbcccbbbcccdddeeeffffffffffffjjjjjjkkklllnnnooopppqqqrrruuuyyyzzzyyywwwvvvuuuyyyzzz|||}}}}}}~~~zzznnnoooyyy{{{jjj```]]]^^^```bbbddddddddddddcccbbb```^^^ZZZWWWTTTSSSNNNNNNMMMKKKIIIEEEBBB@@@:::777444222222222222111111000000000000111222222///////////////000000111////////////000000000000......//////000000000000111111444666888@@@PPP```sss}}}~~~}}}zzz{{{~~~wwwwwwtttpppmmmggg[[[NNNHHHFFFCCCCCCDDDEEEEEEEEEJJJLLLPPPRRRTTTVVVZZZ\\\\\\___bbbfffkkkqqqxxx||||||tttmmmfffaaa[[[XXXQQQNNNJJJFFFDDDBBB???<<<999999999888888888777777555666777888888999::::::<<<<<<<<<=========>>>>>><<<===??????>>>???AAACCCDDDEEEGGGHHHKKKQQQWWW\\\aaaeeejjjmmmnnnqqquuuyyy{{{~~~|||zzzvvvtttqqqpppooommmjjjhhhfffeeebbb```]]]\\\ZZZZZZXXXVVVTTTQQQOOONNNNNNNNNNNNMMMLLLKKKJJJJJJJJJJJJGGGGGGGGGGGGFFFFFFFFFFFFFFFEEEDDDDDDCCCCCCDDDDDDCCCCCCDDDDDDDDDDDDEEEEEECCCCCCDDDEEEFFFGGGGGGHHHHHHIIIJJJJJJJJJIIIHHHGGGIIIHHHHHHGGGGGGHHHHHHIIIJJJJJJIIIIIIIIIHHHHHHHHHGGGEEEDDDCCCDDDCCCBBB@@@???>>>===<<<;;;;;;;;;;;;777666666666555555555444222222111111000/////////,,,------...------,,,,,,------------------------,,,,,,------.../////////000///...///111111111///111222333444444555444444333222333333444666777888777888999:::<<<===>>>???<<<======>>>??????@@@@@@@@@AAABBBDDDFFFHHHJJJKKKMMMOOORRRUUUXXXZZZ\\\]]]^^^^^^^^^^^^^^^______``````aaabbbccceeeeeeeeefffiiiiiijjjkkkmmmnnnooopppqqqsssvvvwwwvvvuuuuuuuuuwwwyyy{{{|||}}}~~~tttrrrvvvpppfff^^^\\\\\\___cccfffeeeccccccbbb```^^^[[[XXXUUUTTTOOOOOONNNLLLIIIFFFCCCAAA;;;888444333333333333222000/////////000000111222///////////////000111111.../////////000000000111......///000111222222333222222444666888@@@PPP```oooxxx}}}zzzzzz~~~uuuvvvuuuqqqmmmfffXXXLLLDDDCCCBBBBBBCCCEEEFFFFFFIIILLLOOORRRTTTWWW[[[]]][[[^^^ccchhhmmmttt{{{vvvppphhhaaa[[[VVVRRROOOGGGEEEBBB@@@???===:::888777777777777888888888888666666888999:::;;;;;;<<<===============>>>>>>>>>===>>>@@@@@@???@@@CCCEEECCCDDDEEEGGGIIINNNUUUYYY\\\```fffiiijjjkkkooorrrwwwyyy}}}~~~|||wwwuuurrrpppooonnnkkkiiifffdddbbb___]]][[[ZZZZZZXXXWWWTTTQQQOOONNNNNNNNNNNNMMMLLLKKKKKKJJJJJJKKKGGGGGGGGGGGGFFFFFFFFFFFFFFFFFFEEEDDDDDDDDDDDDEEECCCCCCCCCDDDDDDDDDEEEEEEBBBBBBCCCDDDEEEFFFGGGHHHGGGHHHJJJKKKKKKJJJIIIHHHHHHHHHGGGGGGGGGGGGHHHHHHHHHHHHHHHGGGGGGGGGFFFFFFEEECCCAAAAAAAAAAAA???>>>======<<<;;;::::::::::::666666555555555555444444222222111111000/////////,,,,,,------...------,,,,,,,,,,,,,,,,,,,,,,,,,,,++++++,,,---............///...---///000111000///000111222333444444444444333222222333444555777888888999999:::;;;<<<<<<===;;;<<<<<<===>>>>>>????????????AAACCCEEEGGGHHHIIILLLMMMPPPSSSVVVYYY[[[\\\^^^^^^]]]]]]\\\\\\]]]]]]]]]^^^```bbbdddeeeeeeeeehhhhhhiiikkklllmmmnnnooooooqqqssstttsssssstttvvvtttvvvyyy{{{|||}}}yyyvvvuuu{{{wwwooo]]]ZZZYYY]]]cccgggfffccccccbbb```^^^[[[XXXVVVTTTOOOOOONNNLLLJJJFFFCCCBBB;;;888555333333333333222//////...//////000111111///////////////000111111.../////////000000111111......///111222333444555333333555777888@@@PPP```kkkttt}}}}}}yyyzzz}}}uuuwwwwwwsssooohhhZZZMMMBBBCCCCCCBBBDDDGGGIIIIIIIIILLLOOORRRUUUWWW[[[^^^YYY]]]bbbhhhooovvv~~~~~~yyynnnhhh```YYYSSSOOOKKKIIIAAA???<<<;;;:::999666444555555666777777888888999888999:::<<<===>>>>>>???============>>>>>>>>>>>>>>>???@@@AAA@@@AAADDDFFFBBBCCCDDDEEEGGGLLLRRRWWWWWW\\\bbbfffggggggjjjmmmsssvvvzzz}}}~~~wwwuuurrrqqqpppnnnkkkiiieeedddbbb___]]][[[ZZZYYYYYYWWWTTTQQQOOONNNNNNMMMNNNMMMLLLKKKKKKJJJKKKKKKGGGGGGGGGFFFFFFFFFFFFEEEGGGGGGFFFEEEEEEEEEEEEEEECCCCCCCCCCCCDDDDDDDDDEEEBBBBBBCCCDDDEEEFFFGGGGGGGGGHHHJJJLLLLLLKKKJJJIIIGGGGGGFFFFFFFFFFFFGGGGGGFFFFFFFFFFFFEEEEEEEEEEEECCCAAA@@@?????????===<<<<<<<<<;;;:::999999999999555555555555555555444444222222111111000/////////,,,,,,------...---------++++++++++++++++++++++++***+++,,,---...............------...000111000...000000111222333333333333444333333333444666888999::::::::::::::::::::::::;;;;;;<<<<<<===>>>>>>>>>>>>>>>@@@BBBDDDFFFGGGHHHKKKLLLOOORRRVVVXXXZZZ[[[^^^^^^]]]\\\[[[[[[[[[[[[\\\]]]___aaacccdddeeefffhhhhhhiiijjjlllmmmnnnooonnnpppqqqrrrrrrrrrtttvvvrrrtttwwwyyy{{{}}}|||zzzzzzzzzsssdddaaa___```dddffffffdddeeeccc```___]]]ZZZVVVTTTQQQOOOMMMKKKJJJGGGDDDAAA>>>:::666333222222111111333222111/////////000111000000000000000000000000000000000000000000000000222222111111111111111111777555666999<<>>>>>>>>>>>@@@@@@@@@@@@@@@@@@@@@@@@AAAAAA@@@@@@AAACCCDDDEEEFFFFFFGGGGGGGGGIIIMMMPPPWWWZZZ___ccceeegggiiikkkmmmoootttyyy}}}~~~wwwvvvtttrrrooommmkkkjjjhhhgggeeeccc```^^^\\\[[[XXXWWWUUUSSSQQQOOOOOONNNOOONNNMMMLLLKKKKKKKKKKKKIIIIIIJJJJJJIIIIIIHHHGGGEEEEEEEEEDDDCCCCCCBBBBBBAAABBBBBBBBBCCCDDDDDDDDDBBBCCCCCCCCCDDDDDDEEEEEEEEEFFFGGGHHHIIIHHHGGGGGGFFFFFFGGGGGGFFFEEECCCBBBDDDDDDEEEEEEEEEEEEEEEDDDDDDCCCBBBAAA???>>>======<<<;;;:::999888888888888555555555555444333222111000000000000////////////------------------------...---+++++++++,,,---...------------------,,,,,,---------............///111111000000000000000111444444444444444444444444666666777888888888888888888999999:::;;;<<<============>>>???AAACCCEEEFFFGGGJJJMMMOOOQQQTTTXXX[[[\\\\\\\\\\\\\\\\\\\\\\\\]]]^^^^^^___aaacccdddeeeggggggggghhhiiijjjllllllmmmmmmnnnooopppqqqrrrrrrttttttuuuvvvwwwyyy{{{|||~~~|||zzz{{{{{{hhhccc___```dddggggggfffeeecccaaa___]]]ZZZVVVTTTSSSQQQNNNLLLKKKIIIEEEBBB>>>;;;666333222222111111333222000/////////000111000000000000000000000000000000000000000000000000111111111111111111111111444333444777;;;DDDUUUdddnnnqqqwww}}}~~~sss```PPPGGGFFFDDDCCCDDDFFFIIIKKKLLLNNNQQQRRRSSSUUUXXXZZZ[[[^^^bbbiiirrrzzzzzzqqqhhhccc\\\WWWPPPIIIEEEBBB???===::::::999999888888888777777777888888888888888888;;;<<<===>>>????????????@@@@@@@@@@@@@@@@@@@@@@@@BBBAAAAAA@@@AAABBBDDDDDDEEEFFFGGGGGGHHHIIIMMMOOOTTTWWW\\\```bbbeeegggjjjjjjmmmrrrwww{{{~~~~~~xxxwwwuuussspppnnnlllkkkhhhgggeeeccc```^^^\\\[[[XXXWWWVVVTTTRRRQQQQQQPPPPPPOOONNNLLLKKKJJJJJJJJJIIIIIIJJJJJJIIIIIIHHHGGGEEEEEEEEEDDDCCCCCCBBBBBBBBBBBBBBBCCCCCCCCCCCCCCCCCCCCCCCCCCCDDDDDDDDDEEEEEEEEEGGGHHHHHHHHHGGGFFFFFFFFFGGGGGGFFFEEECCCBBBCCCCCCDDDDDDDDDDDDDDDCCCBBBBBBAAA???>>>===<<<;;;::::::999777777666666777555555555555444333222111000000000000////////////------------------------+++*********++++++,,,---,,,,,,------------------------------............111000000//////000000111111222222333444555555666666666777888888888888777888888999:::;;;<<<============>>>???AAACCCEEEFFFFFFIIILLLNNNPPPSSSWWWZZZ[[[[[[\\\\\\\\\\\\\\\\\\^^^^^^^^^___```bbbcccdddggggggggghhhiiijjjkkkllllllmmmmmmnnnooopppqqqrrrsssttttttuuuwwwyyy{{{|||~~~}}}~~~ppphhh```___dddiiiiiigggfffcccaaa___]]]ZZZWWWTTTTTTRRROOONNNLLLJJJGGGDDD???;;;666333222222111000222111000000///000000000000000000000000000000000000000000000000000000000111111111111111111111111222111222666<<>>???@@@@@@@@@@@@AAAAAAAAAAAAAAAAAAAAAAAABBBBBBAAAAAAAAABBBBBBCCCCCCEEEGGGHHHIIIJJJLLLNNNPPPSSSXXX\\\___bbbeeehhhhhhkkkoootttxxx{{{||||||~~~}}}zzzyyywwwtttrrrooommmlllhhhgggeeecccaaa^^^]]]\\\XXXXXXVVVUUUTTTSSSSSSSSSQQQPPPNNNMMMKKKJJJIIIIIIIIIIIIJJJJJJIIIIIIHHHGGGFFFEEEEEEDDDDDDCCCCCCBBBCCCCCCCCCCCCCCCBBBBBBBBBCCCCCCCCCCCCDDDDDDDDDDDDDDDEEEFFFGGGGGGGGGFFFFFFFFFFFFFFFFFFEEEDDDCCCBBBBBBBBBCCCCCCCCCCCCBBBBBBAAA@@@???>>>===;;;::::::999888777666555555555666555555555555444333222222000000000000////////////------------------------******+++,,,------,,,,,,++++++,,,,,,------......------------............000000////////////000000///000111222444555666777555666666777777777777777888888999:::;;;<<<<<<===<<<======>>>@@@BBBDDDEEEEEEGGGJJJLLLNNNQQQUUUXXXZZZZZZ[[[[[[\\\\\\\\\]]]^^^^^^^^^^^^___```aaabbbfffffffffggghhhiiikkkkkkllllllmmmnnnoooppppppqqqsssssstttuuuwwwyyyzzz{{{}}}~~~}}}rrrfffbbbeeeiiiiiigggfffdddaaa___]]][[[WWWTTTSSSQQQOOONNNMMMKKKGGGEEE@@@<<<777333222222111000111111000000000000000000000000000000000000000000000000000000000000000000111111111111111222222222444222444888===HHHZZZjjjtttxxxhhhRRRHHHGGGEEEDDDEEEGGGIIIKKKMMMOOORRRTTTUUUWWWYYY[[[\\\___dddlllttt|||~~~vvvnnneee[[[SSSMMMIIIEEEAAA===<<<:::888777444555555666777888888999444555777888:::<<<>>>?????????@@@AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAACCCBBBBBBBBBBBBAAABBBBBBBBBDDDGGGIIIIIIJJJKKKMMMNNNQQQUUUYYY]]]```dddggggggjjjnnnssswwwyyy{{{{{{}}}}}}}}}}}}}}}{{{zzzwwwuuurrrooommmlllhhhgggeeecccaaa___]]]]]]WWWWWWVVVTTTTTTSSSSSSSSSRRRQQQOOOMMMKKKIIIIIIHHHIIIIIIJJJJJJIIIIIIHHHGGGFFFFFFEEEEEEDDDCCCCCCCCCDDDDDDDDDCCCBBBBBBBBBAAACCCCCCCCCDDDDDDDDDDDDDDDDDDDDDEEEEEEEEEFFFFFFFFFEEEEEEEEEEEEDDDCCCBBBBBBAAAAAABBBBBBBBBAAA@@@@@@AAA@@@???>>>===;;;::::::888777777666555555666666444555555555444444333222000000000000////////////,,,,,,,,,,,,,,,,,,,,,,,,,,,---...///...---+++*********+++,,,------......,,,,,,---------.........//////.........///000000000000111222333444555555444555666666777777666666777777888999:::;;;<<<<<<<<<<<<======???AAABBBCCCCCCEEEHHHJJJLLLNNNRRRUUUYYYYYYZZZZZZ[[[\\\]]]]]]^^^^^^^^^^^^^^^___```aaaeeeeeeeeefffggghhhjjjjjjkkkkkklllmmmnnnooooooppprrrrrrssstttvvvxxxzzz{{{|||}}}rrriiihhhiiihhhgggfffdddbbb```^^^[[[WWWUUURRRQQQNNNMMMLLLJJJGGGEEEAAA===888444222222111000000000000111111111000000000000000000000000000000000000000000000000000000000000111111111222222222777666777;;;AAALLL___ooouuuzzzmmmSSSHHHGGGEEEDDDEEEGGGJJJLLLMMMOOORRRTTTUUUWWWYYY[[[]]]```fffnnnvvv~~~~~~xxxpppfff^^^UUUMMMIIICCCAAA===<<<;;;:::999777666666666666666777777777555666777999<<<>>>???@@@@@@AAABBBBBBBBBBBBBBBBBBAAAAAAAAAAAAAAAAAAAAAAAABBBBBBBBBBBBBBBBBBAAAAAABBBDDDGGGHHHIIIIIIKKKLLLMMMPPPTTTXXX[[[___dddgggiiikkkoootttxxxzzz{{{{{{||||||{{{{{{|||}}}}}}{{{yyywwwtttqqqnnnlllkkkggggggeeecccaaa```^^^]]]WWWVVVUUUTTTSSSRRRRRRRRRRRRQQQOOOMMMKKKIIIIIIHHHIIIIIIJJJJJJIIIIIIHHHGGGFFFFFFFFFEEEDDDDDDCCCCCCDDDDDDDDDCCCBBBBBBBBBAAADDDDDDDDDDDDDDDCCCCCCCCCCCCCCCCCCDDDDDDDDDEEEEEEEEEEEEDDDCCCCCCBBBBBBBBBAAAAAAAAAAAAAAA@@@??????AAAAAA@@@>>>===<<<;;;:::888888777666666666666777444444444555444444333333000000000000////////////,,,,,,,,,,,,,,,,,,,,,,,,---.........,,,***(((&&&******++++++,,,---......,,,,,,,,,------------.........------...//////000111111111222222222222222444444555666666666666555666777777888999:::;;;;;;;;;;;;<<<===>>>???AAABBBBBBDDDFFFHHHJJJLLLPPPSSSWWWWWWXXXYYY[[[\\\]]]]]]^^^^^^^^^^^^^^^___```aaadddddddddeeefffgggiiiiiijjjjjjkkklllmmmnnnnnnoooqqqrrrrrrtttuuuwwwyyyzzz{{{|||~~~vvvmmmjjjhhhggggggdddbbb```^^^[[[XXXUUURRRPPPNNNMMMMMMKKKHHHEEEAAA===888444333222111000//////000111111111111000000000000000000000000000000000000000000000000000000000000111222222333333888777888===DDDPPPdddvvvxxx}}}qqqVVVHHHGGGFFFEEEEEEHHHJJJLLLMMMOOORRRSSSTTTVVVYYY[[[^^^bbbiiiqqqyyyuuuoooggg^^^VVVOOOIIIEEE@@@>>>;;;;;;;;;:::999777777777777777666666666666777888999;;;<<<>>>???@@@AAABBBBBBCCCCCCBBBBBBBBBAAAAAAAAAAAAAAAAAAAAAAAAAAAAAABBBCCCCCCBBBBBBAAABBBDDDFFFGGGHHHIIIKKKMMMNNNPPPTTTWWWZZZ^^^bbbfffjjjmmmqqquuuyyy{{{||||||}}}|||{{{zzzzzz{{{}}}}}}~~~{{{zzzxxxtttqqqnnnllljjjggggggeeedddbbb```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```aaabbbcccccccccdddeeefffhhhhhhiiiiiijjjkkklllmmmmmmnnnqqqqqqrrrsssuuuwwwxxxzzz{{{{{{}}}~~~tttkkkhhhhhhgggeeebbb```^^^\\\XXXUUUSSSQQQPPPOOONNNLLLIIIGGGBBB>>>999555333222111000...///000111222111111000000000000000000000000000000000000000000000000000///000000111222222333333666555777===FFFTTTjjj|||pppWWWIIIGGGFFFEEEFFFHHHJJJLLLLLLNNNQQQRRRSSSUUUXXXZZZ```dddkkksss{{{yyyuuuiiiddd\\\TTTNNNIIIDDDAAA<<<;;;999999999999777666777777777777777777777777::::::;;;<<<===>>>>>>???AAABBBBBBCCCCCCBBBBBBAAABBBBBBBBBBBBBBBBBBBBBBBB???@@@BBBCCCCCCCCCCCCBBBCCCDDDEEEFFFFFFHHHKKKNNNNNNPPPSSSUUUXXX[[[```ccckkknnnrrrvvvyyy{{{||||||~~~}}}}}}{{{{{{zzzzzzzzz|||}}}~~~}}}|||yyyvvvrrrooommmkkkggggggeeedddbbbaaa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```bbbcccdddbbbbbbccccccdddfffggghhhhhhhhhiiijjjkkklllmmmmmmpppqqqqqqssstttvvvxxxyyyzzz{{{|||}}}~~~~~~~~~yyymmmiiijjjgggeeebbb```___\\\XXXUUUTTTSSSQQQPPPOOONNNKKKHHHBBB>>>999555333222111000...///000222222222111000000000000000000000000000000000000000000000000000///000000111222222333333222222555===GGGWWWnnnlllUUUIIIHHHFFFEEEFFFHHHKKKLLLKKKNNNPPPRRRSSSUUUWWWZZZaaaeeellluuu}}}zzzrrrmmmaaa[[[TTTMMMGGGDDD@@@>>>:::888777777777777555444666666777777888888999999<<<<<<<<<<<<======>>>>>>AAABBBBBBBBBBBBBBBAAAAAABBBBBBBBBBBBBBBBBBBBBBBB>>>???AAACCCDDDDDDCCCCCCDDDEEEEEEEEEEEEHHHKKKOOOMMMOOORRRTTTVVVZZZ^^^bbbkkknnnrrrvvvyyy{{{||||||~~~}}}{{{zzzyyyyyyzzz{{{{{{}}}}}}{{{wwwtttpppnnnmmmggggggeeedddbbbaaa```___\\\ZZZXXXVVVTTTSSSRRRRRROOONNNMMMLLLKKKKKKKKKKKKIIIIIIJJJJJJIIIIIIHHHGGGGGGGGGFFFFFFEEEDDDDDDDDDAAABBBBBBCCCCCCDDDDDDDDDEEEEEEDDDDDDCCCCCCCCCBBBBBBBBBAAA@@@AAABBBCCCDDDEEEDDDBBBAAA@@@@@@AAABBBCCCCCCCCCBBBAAA@@@???>>>>>>>>>===<<<:::999888777444444333333333444444555333333444444555444444444000000000000////////////++++++++++++++++++++++++---,,,+++++++++,,,...///,,,,,,++++++++++++++++++++++++,,,,,,,,,---------,,,++++++,,,---...///000---...///000111222333444222333444444555555444444555555666777888999:::::::::::::::;;;<<<===>>>???AAACCCEEEGGGHHHJJJNNNPPPTTTTTTVVVXXXZZZ\\\]]]^^^]]]^^^^^^___aaacccdddeeebbbbbbbbbcccdddeeegggggghhhhhhiiijjjkkkllllllmmmppppppqqqrrrtttvvvxxxyyyzzzzzz|||}}}~~~~~~~~~~~~|||}}}~~~yyypppkkkgggeeeeeeeeedddbbb___]]][[[XXXVVVSSSRRRQQQOOOKKKIIIDDDAAA===888444222111111222111111000000000000000222111111111000000//////000000000000111111111111222222222222222333333333444555888===III^^^vvv~~~zzz```PPPFFFFFFEEEEEEFFFHHHIIIJJJOOONNNOOOSSSTTTTTTXXX]]]```eeelllttt|||vvvjjjbbbTTTOOOIIIDDD@@@>>><<<;;;777777777777666666666666444555777666555555666777;;;;;;<<<>>>???AAABBBBBBBBBBBBBBBBBBAAAAAA@@@???AAAAAAAAA@@@@@@@@@??????AAAAAAAAABBBBBBBBBCCCCCCEEECCCBBBAAAAAADDDFFFHHHLLLNNNQQQSSSVVVZZZ^^^bbbmmmppptttxxx{{{|||||||||yyyxxxwwwvvvuuuuuuuuuuuusssuuuwwwxxxyyyzzz}}}}}}zzzxxxvvvsssooolllhhhhhhgggfffdddaaa___^^^___\\\ZZZXXXVVVTTTQQQOOONNNNNNMMMKKKJJJJJJJJJJJJKKKJJJJJJIIIIIIHHHGGGGGGEEEEEEEEEDDDCCCCCCBBBBBBCCCBBBBBBAAAAAABBBBBBCCCBBBCCCCCCCCCBBBAAAAAA@@@BBBAAAAAA@@@@@@@@@AAAAAADDDDDDCCCBBBAAA@@@@@@???AAAAAAAAA@@@???>>>===<<<>>>>>>>>>===<<<:::999888777777777666555555444444444444333333333222222222000000000///......------,,,,,,,,,+++++++++******+++++++++*********))))))111---******...///---***+++++++++,,,,,,---------,,,,,,++++++,,,,,,---...............////////////222222333444444555555666666666777777888888999999999::::::;;;<<<===>>>>>>@@@BBBDDDFFFFFFHHHJJJLLLPPPRRRTTTUUUWWWZZZ^^^bbbaaa`````````aaabbbccccccdddcccbbbbbbcccdddfffgggiiiiiiiiiiiijjjkkklllmmmnnnnnnoooqqqsssvvvxxxyyywwwzzz|||}}}}}}|||}}}~~~~~~~~~wwwpppllliiihhhhhhgggfffccc```]]][[[YYYWWWTTTSSSQQQOOOKKKHHHDDDAAA===888555222111111222222111000000000000000111111111111000000000///000000000000111111111111000000000000111111111111444666999@@@NNNddd}}}|||}}}iiiTTTHHHFFFFFFEEEEEEFFFHHHIIIKKKNNNLLLNNNRRRSSSRRRVVV\\\aaafffnnnvvv}}}}}}qqqddd\\\OOOKKKEEE@@@>>><<<:::999777777777777666666666666555777888888777666777999;;;<<<===>>>???AAABBBBBBBBBBBBBBBBBBBBBAAA@@@@@@AAAAAAAAAAAA@@@@@@@@@@@@AAAAAAAAABBBBBBBBBBBBCCCDDDCCCBBBAAABBBDDDFFFHHHJJJLLLOOOQQQUUUYYY___ccclllnnnrrruuuwwwxxxwwwvvvuuutttsssrrrqqqqqqqqqqqqpppqqqtttuuuvvvxxx{{{~~~}}}zzzxxxvvvssspppmmmiiiiiihhhfffdddbbb```___^^^\\\YYYXXXWWWUUURRRPPPOOONNNMMMKKKKKKJJJJJJJJJJJJJJJJJJIIIHHHHHHGGGGGGEEEEEEEEEDDDCCCCCCBBBBBBBBBBBBAAAAAAAAAAAABBBBBBBBBBBBCCCBBBBBBAAAAAA@@@DDDCCCCCCBBBBBBCCCCCCCCCDDDDDDCCCBBBAAA@@@@@@?????????@@@@@@@@@???>>>>>>======<<<<<<;;;999888777777777777666555555444444444444444444333333333333000000000///......------,,,,,,,,,+++++++++******+++++++++*********))))))---++++++...222222...***+++++++++,,,,,,,,,------,,,,,,++++++,,,,,,---...............////////////111222222333333444555555333333333444444555555666999999:::;;;<<<===>>>>>>@@@BBBEEEFFFGGGHHHJJJMMMPPPRRRTTTVVVXXX[[[___bbbccccccbbbbbbaaaaaaaaaaaaccccccccccccdddeeefffggghhhhhhhhhiiijjjkkkmmmnnnnnnooopppqqqsssvvvxxxyyyvvvxxx{{{|||{{{zzzzzz{{{}}}}}}}}}~~~}}}sssnnnllljjjjjjjjjjjjhhheeeaaa]]][[[[[[XXXVVVTTTRRROOOKKKHHHEEEBBB>>>999555333222111222222111000000000000111111111111111000000000000000000000000111111111111000000000000111111222222444666:::CCCSSSlll~~~xxxwwwrrr[[[NNNGGGEEEEEEEEEEEEFFFHHHJJJKKKLLLKKKLLLPPPQQQQQQUUUZZZbbbgggoooxxxtttggg[[[SSSHHHDDD???<<<::::::888777666666666666777777777777777888999999888888999;;;<<<<<<===>>>@@@AAABBBBBBBBBBBBCCCCCCCCCBBBAAAAAABBBBBBAAAAAAAAA@@@@@@@@@AAAAAAAAAAAABBBBBBBBBBBBDDDCCCBBBAAABBBDDDFFFGGGHHHJJJMMMOOOSSSYYY```eeekkkmmmppprrrsssrrrpppooonnnmmmlllkkkkkkkkkkkkkkkjjjllloooqqqrrruuuyyy{{{~~~}}}zzzwwwvvvssspppnnnjjjjjjiiigggeeecccaaa```]]][[[YYYWWWWWWVVVTTTRRROOOOOOMMMLLLKKKJJJJJJJJJJJJJJJIIIIIIHHHHHHGGGGGGEEEEEEEEEDDDCCCCCCBBBBBBBBBBBBAAAAAAAAAAAABBBBBBBBBBBBBBBBBBAAAAAAAAAAAACCCCCCCCCBBBBBBCCCCCCDDDDDDDDDCCCBBBAAA@@@??????===>>>??????@@@@@@??????;;;;;;;;;;;;:::888777666777777777666555555444444555555555444444444444333111000000//////......---,,,,,,,,,+++++++++******+++++++++***************((())),,,111555444///***++++++++++++,,,,,,,,,,,,,,,,,,++++++,,,,,,---...---............/////////000000111111222333333444111111222222333444444555888888999:::;;;<<<======@@@BBBEEEFFFGGGHHHKKKMMMOOOQQQTTTVVVYYY\\\```cccfffeeedddcccbbbaaa``````ccccccdddeeefffffffffffffffgggggghhhjjjlllmmmnnnoooooopppqqqsssvvvxxxyyyuuuwwwzzzzzzyyyxxxxxxxxxzzz{{{|||~~~uuunnnjjjiiiiiihhhiiiiiihhhfffccc___]]]\\\ZZZWWWUUURRROOOKKKHHHEEECCC>>>:::666333222222333222111111000000111111111111111000000000000000///000000000111111111111111222222333333444444444666777<<>>???@@@AAABBBCCCCCCCCCDDDDDDDDDCCCCCCBBBBBBBBBBBBBBBAAAAAAAAAAAA@@@@@@AAAAAAAAABBBBBBBBBCCCCCCBBBBBBBBBDDDFFFGGGGGGIIIKKKNNNSSSYYYaaaffflllmmmooopppooommmkkkiiihhhgggffffffeeeeeeeeefffeeegggjjjmmmooorrrvvvyyy|||~~~|||yyyvvvuuussspppnnnkkkkkkjjjhhhfffdddbbbaaa\\\ZZZXXXXXXXXXWWWUUUSSSPPPOOONNNLLLKKKJJJJJJJJJJJJJJJIIIIIIHHHGGGGGGFFFEEEEEEEEEDDDCCCCCCBBBBBBBBBAAAAAAAAAAAAAAAAAABBBBBBBBBAAAAAAAAAAAAAAAAAAAAAAAA@@@@@@@@@AAABBBBBBDDDCCCCCCBBBAAA@@@??????>>>>>>????????????>>>>>>;;;;;;;;;;;;:::999888777777777777666555555444444666666555555555444444444111111000000///.........,,,,,,,,,+++++++++******************************((())),,,000333111---)))+++++++++++++++++++++,,,,,,,,,++++++,,,,,,---...---------.........////////////000000111222222222222333333444555666777777777777888999:::;;;<<<<<<@@@BBBDDDFFFFFFHHHJJJLLLNNNQQQTTTWWWYYY\\\```ccceeeeeeeeedddcccbbbaaaaaabbbccceeefffggggggfffeeeeeeffffffhhhjjjlllnnnooooooooopppqqqsssuuuwwwxxxvvvxxxzzzzzzxxxwwwvvvwwwwwwyyy{{{}}}~~~~~~~~~~~~{{{tttmmmhhhfffeeefffeeefffhhhhhhgggdddaaa___]]][[[XXXVVVSSSPPPLLLIIIFFFCCC???:::666444333333333222222111111111111111000000000000000000111111///000000000111111111111111222222333444444555555777888===GGGXXXooo~~~|||xxxqqqmmmrrr|||qqqZZZKKKEEECCCCCCCCCCCCDDDFFFHHHKKKLLLNNNMMMNNNRRRSSSSSSVVV\\\bbbgggpppxxxyyylll```TTTJJJDDD>>><<<999888888888777666555666666666777777777888666888999999999999:::<<<>>>>>>???@@@AAABBBBBBCCCCCCDDDDDDEEEEEEEEEDDDDDDCCCCCCCCCBBBBBBBBBAAAAAA@@@@@@@@@AAAAAAAAABBBBBBCCCCCCBBBBBBCCCDDDFFFFFFGGGIIILLLOOOSSSYYY```eeekkklllmmmnnnmmmkkkhhhfffcccbbbbbbaaaaaaaaaaaabbbaaadddgggiiilllooosssvvvzzz{{{~~~{{{wwwuuusssrrrpppnnnkkkkkkjjjiiigggdddbbbaaa\\\ZZZXXXXXXXXXXXXVVVTTTQQQPPPNNNMMMKKKJJJJJJIIIJJJIIIIIIHHHGGGGGGFFFFFFEEEEEEEEEDDDCCCCCCBBBBBBAAAAAAAAA@@@@@@AAAAAAAAAAAAAAA@@@@@@@@@AAAAAABBB@@@@@@@@@@@@@@@AAABBBCCCCCCCCCBBBAAA@@@??????>>>???@@@@@@???>>>===<<<<<<;;;;;;<<<;;;;;;:::999888777777777666555555444444666666555555555444444444111111111000//////......,,,,,,,,,+++++++++******************************+++++++++,,,---,,,+++)))++++++++++++++++++++++++,,,,,,++++++,,,,,,---...------------..................///000000111111222222333333555666777888888666666777888999:::;;;;;;???AAACCCEEEEEEGGGIIIKKKMMMPPPTTTWWWYYY[[[___aaaaaabbbcccddddddddddddcccbbbcccdddfffgggffffffeeeeeeeeefffgggiiilllmmmooonnnnnnoooppprrrtttuuuvvvwwwyyyzzz{{{yyywwwwwwxxxvvvwwwzzz|||}}}~~~~~~}}}}}}tttlllhhheeebbbbbbeeeccceeegggiiihhhfffcccaaa^^^[[[YYYVVVUUURRRNNNKKKFFFDDD@@@;;;777555444333333333222111111111111222000000000000111111111111000000000000111111111111///000000111222333444444777888===GGGXXXmmm~~~{{{wwwooojjjnnnuuuxxxzzzsssbbbPPPGGGCCCAAAAAAAAABBBCCCFFFHHHKKKMMMOOONNNOOOSSSTTTTTTXXX]]]bbbhhhqqqyyyyyymmm```UUUKKKDDD@@@<<<:::888888888888777666555555666666777777888888666888999:::999:::;;;===??????@@@AAABBBBBBCCCCCCDDDDDDEEEFFFFFFFFFEEEEEEDDDDDDCCCCCCCCCBBBBBBBBB@@@@@@@@@@@@AAAAAAAAAAAABBBBBBBBBCCCCCCDDDEEEFFFFFFIIILLLOOORRRWWW\\\```ggghhhiiijjjiiigggdddbbb______^^^^^^]]]^^^^^^___^^^```cccfffhhhkkkooorrrvvvwww{{{~~~|||yyyuuusssrrrqqqooonnnkkkkkkjjjhhhfffdddbbbaaa\\\[[[YYYXXXXXXXXXVVVTTTRRRQQQOOOMMMKKKJJJJJJIIIIIIIIIHHHHHHGGGGGGFFFFFFEEEEEEEEEDDDCCCCCCBBBBBBAAAAAA@@@@@@@@@@@@AAAAAAAAAAAA@@@??????@@@BBBCCCBBBBBBBBBBBBCCCDDDDDDEEECCCCCCBBBAAA@@@???>>>>>>@@@@@@@@@???>>>===;;;:::;;;;;;;;;;;;;;;:::999999777777777666555555444444555555555444444444444333222111111000000//////...,,,,,,,,,+++++++++*********************+++++++++,,,+++***)))))))))******+++++++++++++++*********,,,,,,++++++,,,,,,---...,,,------------...............///000000111111222000000111222444555666666555555666777888999::::::===???BBBCCCDDDEEEHHHJJJMMMPPPSSSVVVXXXZZZ\\\^^^^^^___aaaccceeeeeeeeeeeebbbbbbcccdddeeeeeeeeeeeeeeeffffffgggiiikkklllmmmmmmmmmnnnoooppprrrssstttwwwyyy{{{{{{zzzyyyyyyyyyvvvwwwyyyzzz|||}}}~~~~~~}}}|||qqqgggeeecccaaabbbfffeeegggjjjkkkjjjgggdddaaa]]][[[YYYWWWUUUSSSOOOMMMGGGDDD@@@;;;888555444444444333222222111111222222///000000000111111111111000000000000111111111111///000000111222333444555555777<<>>???@@@BBBCCCBBBBBBBBBBBBCCCDDDEEEEEECCCBBBBBBAAA@@@???>>>>>>>>>>>>??????>>>===<<<<<<:::::::::::::::999999888777777777666555555444444444444444444333333333333222222111111000/////////,,,,,,,,,+++++++++******))))))*********+++++++++************)))***+++,,,++++++++++++*********))),,,,,,++++++,,,,,,---...,,,,,,---------............//////000111111222222...///000111222444555555444555555666777888999:::<<<>>>@@@BBBBBBDDDFFFHHHMMMOOOSSSVVVWWWXXXZZZ[[[\\\^^^```cccdddeeeddddddbbbbbbbbbbbbcccdddeeeeeeffffffgggggghhhjjjkkkllllllllllllmmmoooppprrrrrruuuwwwzzz{{{zzzyyyyyyzzzwwwwwwxxxyyy{{{}}}~~~{{{oooeeeccccccaaaccchhhhhhjjjlllmmmlllhhhdddaaa]]][[[YYYWWWVVVTTTPPPNNNGGGEEE@@@<<<888666444444444333222222111111222222//////000000111111111222000000000000111111111111111222222333555666777777444666<<>>>>>@@@BBBCCC?????????@@@AAABBBCCCDDDCCCBBBBBBAAA@@@???>>>>>><<<======>>>>>>>>>>>>>>>888888999999999888888777777777777666555555444444444444333333333222222222222222111111000/////////,,,,,,,,,+++++++++******))))))******++++++++++++''')))+++,,,,,,,,,---...++++++++++++******)))))),,,,,,++++++,,,,,,---...,,,,,,,,,---------......//////000000111111222222...///000222333444666666444444555666777888999999;;;===???AAAAAACCCEEEGGGMMMOOOSSSUUUVVVWWWXXXYYY\\\^^^```cccddddddcccbbbbbbaaaaaa```aaacccdddeeegggggggggggghhhiiijjjkkkkkkkkkllllllnnnooopppqqqtttvvvyyyzzzyyyyyyyyyzzzxxxxxxxxxxxxzzz}}}