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KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK00000000000OOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkxxxkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddddddddddddddddooooooooooollllllllllllllllllllllllllcccccccccccccccccccccccccccccccccccccccccc:::::::::::::::::::::::::::::::::::::::::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,,,,,,,;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;,,,,,,;,;,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;:::::::::::::::::;;;;;;;
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KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK0000000000000OOOOOOOOOOOOOkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddddddddddddddddoooooooooooollllllllllllllllllllccccccccccccccccccccccccccccccccccccccc:::::::::::::::::::::::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''...'''''''''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,;;;;,,,,,,,,,,,,,,,,,,,;,,,,,,,;;;,,,,,,,;;;;;;;;;;:::::::::::::::::::::::::::::
KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK00K000000000000O0OOOOOOOOOOOOOkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddoooddddddooooooooooooooooooooooolllllllllllllcccccccccccccccccccccccccc:cccccc::::::::::::::::::::::::::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''................''...''''''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''',,,,,'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;,,,,,,;;;,;;;;;;;;;;;;;;;;;;;;;::::::::::::::::::::::::
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KKKKKKKKKKKKKKKKKKXXKXXKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK0000000000000000OOOOOOOOOOkkkkkkkkxxxxxdddddddddddddddddddddddooooooooooooolooolllllllllllllllllllllllllllllllllllllllcccccccccccccccccccccccccc::::::::::::::::::::::::::::::::::::::::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,''''''''',,,,,,,,,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....''''''........'''''''''''''''''''''''..'....'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,,'',,,,,,'',,,,,,,,,,,,,',,''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,
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XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK000000000000OOOOOOOOOOOOOOOkkkkkkkkkkkxxxxxxxxxxxxxdddddddddddooooooooooolllllllllllllcccccccccccccccccccccccccccccccccccccccc:::cc:::::::::::::::::::::::::::::::::ccccccccccccccccccccllcccccccccccccccccccccc:ccccccccccc::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''''''',,,,,,,'''''''''''',,,,,,,,,,',''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK000000000000OOOOOOOOOOOOOOOOOkkkkkkkkkxxxxxxxxxxxxxxdddddddddddooooooooooollllllllllllllllccccccccccccccccccccccccccccccccccccc::::::::::::::::::::::::::::::::::ccccccccccccccccccccccccccccccccccccccccc::cccccccccccccc::::::::;;;;;;;;;;;::::;;;;;;,,;;;;;;;;;;,,,,;;;;;;;;;;;;;;;;;,,,;;;,,,,,,,,,,,,,,,,;,,,,,,,,,,,,,,''''''''''',,''''''''''''''''''',,,,,,,,,,,''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,,,,''''''''''',,,,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;,,;
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK0000000000000000OOOOOOOOOOOOOOOkkkkkkkkkkxxxxxxxxxxxxxxxdddddddddddooooooooooolllllllllllllllllllcccccccccccccccccccccccc::::::cc:::::::::::::::::::::::::::::::::::cccccccccccccccccccccccccccccccccccccccccccc::::::::::::::::::::::;;;;;;;;;;;;:::;;;;;;;;;;;;;;;,,,,,,;;;;;;;;;;;;;;;,,,,,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,,''''''''''',,,,,,,'''''''''',,,,,,,,,,,,,,,,,,,,,,'''''''''''''''''''''''''''''''''''''''''''''''',,'''''',,''''''''''''''',,''''''''''''',,,,,,,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,''',,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;,,,;
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK0000000000000000OOOOOOOOOOOOOOOOOOkkkkkkkkkxxxxxxxxxxdddddddddddddddooooooooooolllllllllllllllllccllllccccllcccccccccccccc:::::::::::::::::::::::::::::::::::::::::::::ccccccccccccccccccccllcccccccccccc:::::::::::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,;;;;;;;,;;,,,,,,;;,,,,,,,;;;;,,,,,,,,,,,,,,,,,,,,,''''''''''''',,,,,,,''''''''',,,,,,,,,,,,,,,,,,,,'''''''''''''''''''''',,'''''''''''''''''',,,,,,,'''''',,,'''''',,,,,,,,,,,,''''',,,'''''''''''',,''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''..'''''''',,''',,,,'''''''',,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;,,,,
XXXXXXXXXXXXXXXXXXXXXXXXXXXXKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK00000000000OOOOOOOOOOOOOOOOOOOOOOkkkkkkkxxxxxxxxxxxdddddddddddddddoooooooooolllllllllllllllllllcccllllllclllccccccccc:::::::::::::::::::::::::::::::cc::::::::::::::::ccccccccccccccccccccccccc:::::::::::::::::::::::::::::::;:::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,;,,,,,;;;;;;;;;;;;,,,,,,,,;;;;,,,,,,'''''''''''',,,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,'''''''''''''''''''',,,,,,,'''''''''''''',,,,,,,,,,,,,,,,,',,,,,,,,,,,',,,,''',,,,,,,,,,,,,'''''''''''''''''''''''''''''''''''.'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'''''',''',,,,''''''''',,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;,,,,
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK00000OOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkxxxxxxxxxxdddddddddddddddooooooooooollllllllllllllllllccccccclllccccccclcccccc::::::::::::::::::::::::::::ccccc:::::::::::::::cc::cccccccccccccc::::::::::::::::ccccccccc:::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:;;;;;;;;;;;;;,,,,,,,,,,,,,;;;;;,,,,,,,,,,,;;;,,,,,,,,,'''''',,,,,,,,,,,,,,,,,'''''',,,,,,,,,,,,,,,'''',,,,,,,,,,,,,''''''',,,,,,'''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''........'''''''''''''''''''''''',,,'''..'''''''''',,,,,,,,,'''',,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;,,,
XXXXXXXXXXXXXXXXXXXXXXXXXXXXKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK0000OOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkxxxxxxxxdddddddddddddddoooooooooooollllllllllllllllccccccccccccccccccccccccccc:::::::::::::cccccccc:::cc:cc::::::::::::::::::cccccccc::ccccc::::::::::::::ccccccccccccccc:::;;;;;;;;;;;;;;;:::::;;;;;;;;;;;;;;;::::::;;;,,,;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,''''''',,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,'''',,,,,,,,,,,,,'''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''''''''''''',,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''.......'''''''''''''''''''''',,,''''..'''''''''',,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;
XXXXXXXXXXXXXXXXXXXXKKXXKXXXKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK00000OOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkxxxxxxdddddddddddddddddoooooooooooollllllllllllcccccccccccccccccccccccccccccccccc::::::::::ccccccccccc:::::::::cccccc:::::::ccccccccccccc:::::::::::::::ccccccccccc::::::::;;;;;;;;;;;;;:::::::::::::;;;;;;;;;;;::;;;;;,,,,,,,,;;;,,,,;;;;;;;;;,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,'',,,,,,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''''''''''',,,,,,,,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,,'''''''''''''''',,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;
XXXXXXXXXXXKKXXXXXXXXKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK000000OOOOOOOOOOOOOOOOOOkkkkkkkkkkxxxxxxxxdddddddddddddodooooooooooooooollllllllllllcccccccccccccccccccccccccccccccccccc:::::::cccccccccccccc::cccccccccccccccc::ccccccccccccc::::::::cccccccc:::cccccccccc:::::::;;;;;;;;;::::::;;;:::::::::;;;;;;;;;;;;;;,,,,,,,,;;;;;,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,''',,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''',,,,,'''''''''''''''''''''''''''''',,,,,,,''''''''''''''''''''''''''''''''''''''''''''''''''''''..''''''''''''''''''''''''''''''''''''''''''''''''''''''',,'',,,'',,'''',,'',,,,,,,,,,,,,,,,;;,;;;;;;;;;;;;;,,;;;;;;;;;;;
XXXXXXXXXXXXXXXXXKXXXKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK000000OOOOOOOOOOOOOOOOOOOkkkkkkkkkxxxxxxxddddddddddooooooooooooooooollllllllllllllcccccccccccccccccccccccccccccccccccccccc:::::ccccccc:::::::::::cccccccc::::ccc::::::::cc:::::::::ccccccccccccccccccccc:::::::::::::::::::::::::::;;;;;;;;;;;;;;::::;;;;;;;,,,,,;;;;;;,,,,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,'''''''''''''''''''''''''''',,,,'''''''''''''''''',,,,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,,,,,,,''''''',,,,,,,,,,,,,,,,;;;;;;;;;;,,,,;,,,;;;;;;;;;;
XXXXXXXXXXKKKKKXXKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK0000000OOOOOOOOOOOOOOOOOkkkkkkkkxxxxxxxxxdddddddooooooooooooooooollllllllllllllccccccccccccccccccccccccccccccccccccccccccccc:::cccc::::::::::ccc:::::c::::::::::::::::::::::::cccccccccccccccccccccccc::::::::::::::::::::;;;;::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;,;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,'',,,'',,''',,,'''''''''',,,,,,,'''''''''''''''''''',,,,''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''..''''''''',,,,,,,,',,,,,,,,,,,,,,,,,,,,,;;;;;;;,,,,;;,,,,;;;;;;;;;;
XXXXXXXXXXKKKKKXXXKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK00000000OOOOOOOOOOOOOOOkkkkkkkkxxxxxxxxxddddddddooooooooooooooollllllllllllllcccccccccccccccccccccccccccccccccc::::::ccccccccc:::::::::::::::::::::::::ccc::::::::::::::::::cccccccccccccccccccccc::::::::::::;;;;;::;;::::;;;;::::::;;;;;;;;;;;,,,,,,;;;;;;;;;;,,,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,''''',,,,,,'''''''',,,,''''''''''''''''''''''''''',,''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,''''''''''''''''''....''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,;;;;;;,,,,,;;;;;;;;;;
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KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK0000000000000000000000000000OOOOOOOOOOOOOOkkkkkkkxxddddoooooooooooolllllllllllllllllccccccccccccccccccccclcccccccccccccccccccccccccccc::::::::c:::::::::::::::::::::::::::::::::::::::::cccc:ccccccc:::::;;;;:::::::::::::::;;;;;;;;;;;:;;;;;;;;,,,,,,,,,,;;;,,,,,,,,,,,,,,,,,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;::::::::::::::::::::::::::::::::ccccccccccccccccccccccccccccc::::::::::::::::::::::::::::::::::;::::::::::cccc:::::::::::::::::::::::::::;;::::::::::::::::::::::::::::::::cc:::::::::::;;;;;,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''''''',,'''''''''''''''''''''''''''''''''''''''''''''''''''''',,,,,,''',,,,',,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,;;;;,,,;;;;;,,,,,
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KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK0000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOkkkxddddoooooooooolllllllllllllllccccccccccclccccccccccccccccccccccccccccccccccccccc:cccc::cccc:::::::::::::::::::::::::::::::::::ccccc:::::::::::::::::::::::::::::::;;;;;::::;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;:::::::::::::::::::::::::ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:::::::::::::::::::::::::::::::::cccccccccccccccccccccccccccc:::::::::::ccccc::cccc::::::::::::::cccccccc::ccccc:::;;;,,,,,,,,,,,,,,''',,,,,,,,,''''''''',,,,,,,,,,''''''''',,,'''''''''.''''''''''''''''''''''''''''''''''',''''''''',,,,'',,,,',,,,,,'''',''',,,,,,,'',,,,,,,,,,,;,,,,,,,;,,,,;,,,,,,,,,,,,;;;,,,,,,,;;;,
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KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK00000000000000000000000000000000000OOOOOOOOOOOOOOOOOOkkkkkkkkkkxxxddddooooollllllllllccccccccccccccccccccccccc::::::::c::cccccccccc::::::::::::::::::::::::;:::::::::::::::::::::c:::::::::::::::::::::;;;;;;;;:::::::;;;;;;,,,;;;;;;,;,,,;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,;;;;;,,;;;;;;;;;;;;;;;;;;;;;;;;;:;;;;;;;;;;;;::::::ccccccccccccccccccccccccccccccccccccllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooolllllooooollllllcccc:::::::::::::::cc:::cccccccccccccc::::ccccccccccc::cccccc:::::::;;::;;;;;;;::;;;;;;,,,,,,,'''''',,,,,,''',,,,,,,,,''''','',,,,,,,,,,''''''''''',,,,'''''''''''''',,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,;;;,,,',,,,,,,,,,
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KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK0000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOkkkkkkkkxxxxdddddddddooooooolllllllllllcccccccc::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;::::::::::::ccccccccccccccccccccccclllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooollllllllllcclccccccclllllllcccc::::::::::::::::::::::::::::cccccccc::::::::;;;;::::::::;::::c::ccccc:;;;;;;;;;;,,'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'
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KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOkkkkkkkkxxxxxxddddddddoooooooollllllllcccccccccccccccccc::::::::::ccc:::::::::::::::::::::::::::::::::::::::::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,;;;;;;;;;;;;;,;;;;;;;;,;;;;;;;,,,,,,,,;;;;;;;;;;;;;;;;;:::::::::::::::::::::cccccccccccccccccccllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooooooooooooooooooooddoooooodoooooooooodooooooooooooooodoooooodddddddoddoddooooooooooooooooddddddddoooddooooolllllllllllllcclllllcccccllllcclllccccc::::::::;;;;;;:::::::::ccllllccccc:;;;;;;,,;;:::::;;::::::ccccclllc:;;;;;;;;;;;;,,,,',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,,,,,,,,'''','','''',',,,,,,'',,,,,,,'
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KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK00K0000000000000000000000000000000000000000OOOOOOOOOOOOOOOOkkkkkkkkkxxxxxxdddddddooooollllllllllccccccccccccccccc:::::::::::::::ccccccccc:::::::::::::::::::::::::;;;;;;;;::::::;;;;:::::;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,;;;;,,,,;;;;;;;;;;:;;;;;;::::::::::::::::::cccccccccccccccccclllllllllllllllllllllllllooooooooooooooooooooooooooooooooooooooooooooooooddoddoddddddddddoooddddooodooooooooooddoooooooooooddooooodddddddddddooooooooooooooodddddddddddodoooooolllllllllllllcclllllccccccllcccccccccccccccc:::::;::;;;:::cllllllllcccclllccc::::;;,;;;:::::::::c:::::cccc:::;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,,,,,,,,,'''',,,'''''''',,,,''',''',,,''
KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK00K000000000000000000000000000000000O0OOOOOOOOOOOOOOOOOkkkkkkkkkxkxxxxdddddddoooooollllllllccccccccccccccccccc:::::::::::::ccccccc::::::::::::::::::::::::;;;;;;;;;;:;;;;;;;;;;::::;;;;;;;;;;;;;;;;;;;;;;;;;,,;,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,;;,,,;;;;;;;;;::::;;;::::::::::::::::::ccccccccccccccccllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooooooooooooooodddddddddddddddddddddddddddddddoooooooooooooooooooooodddoodoodddddodddddoooooooooooooooddddddddddddoooooooolllllllllllllcccccccllccclccccc::cccc::ccllcc:::::::;;:::cllllllllllllllllcc:cc:;;;;;;::cc::::::::::cccc:::;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,'''''''',,,,''''''',,,,',
KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK0000000000000000000000000000000000000OOOOOOOOOOOOOOOOOkkkkkkkkkkkxxxxddddddddoooooolllllllccccccccccccccccc::::::::::::::cccccc:c::::::::::::::::::::::::;;;;;;:;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,;;;;;;;;;;;;;;;;;;;::::;;;:::::::::::::::cccccccccccccccccllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddooddooooooodoooooooooooooodddddddddddddddddoooooooooooooooddddddddddddoooooooollllllllllcccc:cccccllcccccccccccccc::::cccccc:::::::::ccllllllllllllllllllcccccc::;;:::::::::::::::ccccc::;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,,,,,,,,,,,,',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,''''',,,,,,,
KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK0KK000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOkkkkkkkkkkkxxxdddddddddooooollllllllllccccccccccc::::::::::cc:::ccccc::::::::::::::::::::::::::::::;::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:::::;:::::::::::::::::ccccccccccccccclllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddooooooodoooodooooooooooddddoddodddddooodoooooooooooooddddddddddddddooooooolllllllllcccc:::cccllcccclccccccccc:::::::c::ccc::::::;:llllllloooooooolllllccccc::;;::::;;::::;;;::cccccc:;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,,,,'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,'',,,,,'.'',,,,,,,,
KKKKKKKKKKKKKKKKKKKKKKKKKKKKKK000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOkkkkkkkkkkkkxxxdddddddddoooollllllllllcccccccccc:::::::::::ccccccccc::::::::::::::::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;::::::::::::::::::cccccccccccccccclllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooooooooodddddoddddddddddoodddddddddddddddddddddddddddddoooooddddoooooooooooooodddddoooodddddodddoooooooooooodddddddddddddddooooooolllllllllcccc::ccllllcccllllccclccc:::::;;;;;:ccc:cc:::::cclllloooooooolllllcccc:;,,;;;;:::;;:;;;;::cccccc:;;;;;;;;;,,;;;,,,,,,,,,,;;,,,,,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,;;,,,,,,,,,,,,,,,,,,,,'''','''''''',,,,,,,'',,,,,,,,,,
KKKKKKKKKKKKKKKKKKKKKKKKKK0KKK0000K000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkxxxxxddddddddooollllllllccccccccccc:::::::::::::::::::::::::::::::::::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,;;;;;;;::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:::::::::::::::::cccccccccccccccclllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooooooodoodddddddddddddddddddddddddddddddddddddddddddddoooooooooooodoooooooooddooddooodddddddddddddooooooddooooddddddddddddddddooooooolllllllllccccccclllollccllllllllccc::::;;;;;;;:cccccccc::cccllooooooollllllllccc;;;;;;;;;:;;;;;;;;::cccccc::;;;;;;;;,;;;;,,,;;;,,,,;;,,,,,;,,;,,,,,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,''''''''''''',,,,,,',,''',,,,,,,,,
KKKKKKKKKKKKKKKKKKKKKKKKKK00000K00000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkxxxxxddddddddooooollllllccccccccccc::::::::::::::::::::::::::::::::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,;;;;;;;;:::::;;;;;,,,,;;;;;;;;;;;,,,;;;;;;;;;;;;::;;;;:::::::::::::::cccccccccccccccllllllllllllllllllllllllllloloooooooooooooooooooooooooooooooooodoooooddddddddddddddddddddddddddddddddddddddddddddddddddooooooooooddooooooooooddooddddddddddddddddooddooooooooodddddddddddddddddooooolllllllccccccccclllllllcccllolllcccc:::;;;;;;;;::cccccccc:cc:cloooooooolllllllllc:;:cc:::;;;;;,;;;;:cccc:cc::::;;:;;,,;::;;,;;;;,,,;;;,,,,;;;,,;,,,;;;;,,,,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,;;;,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,''''''....'',,,,,,,,''''',,,,,,,,,
KKKKKKKKKKKKKKKKKKKKKKKKKKKKK00000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOkkkkkkkkkkkkkxxxxxxxxxxxxdddddooollllllcccccccccc::::::::::::::::::::::::::::::::::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,;;;;;;;;::::;;;;,,,,,,,;;;;;;;;;,,,,;;;;;;;;;::::::::::::::::::::c::cccclllllcccccllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooodddoddddddddddddddddddddddddddddddddddddddddddddddddddddddooodoodooooooddooooooooooooooooodddddddddddddooooooooooododdddddddddddddddoooooolllllcclcccccc:cclcclllllllloollcc::::;;;;;;;;;:::ccccccc::::cloooooooooollllllcccccccc:;;;,,,,;;;;::ccccccc::::;;;;;;;;;;,,;,;;,,;;;;,;;,,;;,;;;,;;;;,,,,,,,;,,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,;,,,,,,,,,,,,',,,'''',,,,,,,,,,,,,,,,,,,,,,,''''.....'',,,,,,,,''...',,,,,,,,,
KKKKKKKKKKKKKKKKKKKKKKK0KKKK0000000000000000000000000000000000000000OOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkxxxxxxxxxxxxxxdddddooollllllccccccccc:::::::::::::::::::::::::::::::::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,;;;;;;;;::;;;;,,,,,,,,,;;;;;;;,,;;;;;;;;;;;;;;::::::::::::::::::cccccccllllllcclllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooddoddooodoooooooooooooooooooooodddddodddddoodoooooooododdddddddddddddddoooooollllllcccccccc:ccllllllclllloolc::;;;;;;;;;;;:::::clcccc:::::clooooooolllllolllccc::;::;,;,,,,;;;;:::ccccccccc::;;;;;;;;;;;;;,,;,,;;;;;;;,,;;;;;,;;;;;,,,,,,,;,,,,;;;,,,,,,,,,,,,,,,,,,,,,,,,;;,,,,,,,,,,,,'',,,,,,,''',,',,,,,,,,,,,,,,,,,,''''..'''',,,,,,,,,,''..'',,,,,,,,,
KKKKKKKKKKKKKKKKKKKKKK0KK00KKK000000000000000000000000000000000000000OOOOOOOOOOOOOOOOkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxddoooolllllcccccccccc:::::::::::::::::::::::::::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;,,;;,,,,;,,,;;,;;;;;;;;;;;;;;::::::::::::::::::cccccclllllllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooooddoddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoddddddddooodooodoooooooooooooooodoooooddddooooooooooddoddddddddddddddddooooolllllllcccccccc:ccllllllcccccolcc:;;;;;;;;;;;::::::ccccc::::::clloooooollllollllc::;;;;:;;,,,,,;;;:::cccccccccc:::::;;;;:::;;,;;;,,;;;;;,,,,;;;,,,,;;,,,,,,,,,,,,,,;;;;;;,,,,,,,,,,,,,,,,,,,,;;,,,,,,,,,,,,,',,,,,,,'''',,,,,,,,,,,,,,;,,,,,''','''',,,,,,,,,,,,,'''.',,,,,,,,,,
KKKKKKKKKKKKKKKKKKKKKKKKK000KKKK00000000000000000000000000000000000OOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxddoooolllllccccccccccccc::::::::::::::::::::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,;;;;;,,,,,,,,,,,,;;;;;;;;;;;;;;;;;::::::::::::::::::ccccclllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooooddoddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddodddddooodooooooooooooooooooooooodoooodoooooooooooodddddddddddddddddddooooollllllccccccccccccllllllcc:cllc::;;;;;;;;;;;;;;;::::ccccc:::::cclooooooolloollcc::;;:;;,,,,,,,,;;;::ccccccc::cc::::;;;:::::;;;;;;,;;:;;;,,,;;,,,,,,,,,,,,,,,,,,,,,,,;;;;;,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,,,''''''',,,,,,,,,,,,,;;,,,,,'''''',,,,,,,,,,,,,,,,'''',,,,,,,,,,
KKKKKKKKKKKKKKKK0KKKKKKKKK000K0000000000000000000000000000000000000OOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxddddoooolllllccccccccccccc::::::::::::::::::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,;;;;;,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;:::::::::::::::::::cccccllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooddddddddoooooooodoooooooododdoooooooooooooooooddddddddddddddddddddddoooollllllcccccccccccccllllllccclcc:;;;;;;;;;;;;;;;;;;::::ccc::::::clooooooooooolc:;;;;;;,,,,,,,,,,;;;:::::cccc:::::::::;;:;;;;::;;;;;;::;;;,,,;,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,,,,,,,,,,,,,,,,,,;;,,,,,,,,',,,,,,,'...''',,,,,,,,,,,,,,;;,,,,,',,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,
KKKKKKKKKKKKKKKKKKKKKKK00KK00000K000000000000000000000000000000000OOOOOOOOOOOOOOOOkOkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxddddddoooolllllcccccccccccc::::::::::::::::::::::::::::::::::::;;;;;;;:;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,;;;;,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;:::::::::::::::::::ccllllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoddoddooddooooooooooddddoooddoooooooooooooooddoddddddddddddxddddddddddoooolllllccccccccccc:cclllolcccccc::;;;;;:::;;::;;:::::::::ccc:::::clooooooooooolc:;;,,,,,,,,,,,,,,;;;:::::ccccccccc:ccc::::;;;:::;;;:::;;;;;,,,;;;,,;;;;,,,;;,,,,,,,,,;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,,,,,,,,,,,,
KKKKKKKKKKKKKKKKKKKKKKKKKK00KK00K000000000000000000000000000000000OOOOOOOOOOOOOOOkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxdddddddoooollllccccccccccc::::::::::::::::::::::::::::::::;:::::;;;;;:;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,;;;,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;:::::::::::::::::::::cccllclllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooooddooooooooooooddooooooooooooodoooooooodddddddddddddddddddddddoooooolllccccccccccc::clllollcc:cc::::;;;;;;;:::;:::;;;;:::;:cc:::::cloooooooollllcc:;;,,,,,,,,,,,,,,;::::::ccccc:ccccc::ccc:::::;;::::::::;:;;;;;;;;;;;;,,,,;,,,,,,,,,,,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,;;,,,''''''''',,,,,,,,,,,,,,,,,,,,',,'',,,,,,,,,,,,,,,,,,,,,,,,'',,,,,,,
KKKKKKKKKKKKKKKKKKKKKKKKK000KK0KKKK0000000000000000000000000000OOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxdddddddooooollllcccccccccc:::::::::::::::::::::::::::::::::;::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;:::::::::::::::::::ccccccclllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooooooooddoooodddoddddddoooooooooooooooooooddddddddddxdddddddddooooollolllccc::ccc:cc:cccllllcc::c::::;;;;;;;;;::::;;;;;;;;;;::cc:::::loooooooollllc:;;;,,,,,,'',,,,,,;;::::cc::cccccc:::cccc:::::::::::::::;;::::;;,;;;;;;,,,,,,,,,,,,,,,,;,,,,,,,,,,,,,,,,,,;;,,,,,,,,,,,,,,;;,,',,,,,',,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,,,,,,,,,,'',,,,,''
KKKKKKKKKKKKKKKKKKKKKK0KK0K00KK00000000000000000000000000000000OOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxddddddoooooollllllcccccccc:::::::::::::::::::::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;::::::::::::::::::cccccccllllllllllllllllllllllllloooooooooooooooooooooooooooooooooddoddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooooooooddooddddooddddddddooooooooooooooodddddddddxxxxxddddddddoooollllllcccccccc::cccccllllc:::::;;;;;;;;;;;;;:;;;;,;;;;;;;;:::cccc::clloooooollllc:;,,,,;,,,,,,,,,,;;;;:cc::::cccccc::::::::::::::c::::::;;;::::;;;;;;;;;;,;,,,,,,,,,,,,,,;;,,,,,,,,,,,,,,,,,;,,,,,,,,,,,,,,;,,,,,,,,,,,,,,,,,;,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''...
KKKKKKKKKKKKKKKKKKKKKKKKKKK00KK0000000000000000000000000000000OOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkxkxxxxxxxxxxxxxxddddddoooooolllllllccccccccccccc:cc:::::::::::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,;;,,,,,,;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;::;:::::::::::::cccccccllllllllllllllllllllllloooooooooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoddddooodddddddddddddddddoooooollllooddodddddddddxxxxxxdddddddoooollllllccccccc::cclllllllcc::c::;;;;;;;;;;;;:;;,;;;,,;;;;;;::;::ccc::clooooolllllcc:;,,,,,,,,,,,,,;;;;::cc:::::::::::::::;;:::;:::::::::::;;;:::::::;;;;;;;;,,,,,,,,,,,,,,,,,,,;;,,,,,,,,,,,,,,,,,,,,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'....
KKKKKKKKKKKKKKKKKKK0KKKKKKKK00KK00000000000000000000000000000OOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxdddddddooooolllllllcccccccccccccccc:::::::::::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;:::::::::::::cccccccclllllllllllllllllllllllooooooooooooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoodoodddddddddddddddddool:,........,:odddddddddddddxxddddddooooollllllcccc:::::ccloollccc:ccc::;;;;;;;::::::;;;,,,;,;;;;;;;;;;::ccc:cloooollllllllc:::::::;,,,,,;;;;:::cccc::;::::::::::;;:::::c::cc::::::;;:::::::;;;;;;;,,,,,,,,,,,,,,,;,,,;;,,,,,,,,,,,,,,;;;,,,,,,,,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''..'
KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK0000000000000000000000000000OOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkxxxxxxxxxxxxxddddddddooooolllllllccccccccccccccc:::::::::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;:::::::::::ccccccccclllllllllllllllllllloollooooooooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooooddddddddddddddddoo:.            'lddddddddddddddddddddooollllllllcc::::::cclloollcccccc::;;;;;::cc::;;;;;;;;,,,,;;;;;;;;;;;:cccclllooolllllllllllllcc;;;;;;;::;;;::::::::::;:::::::;;;:::::::c::::::::;:::::::;;;;;;;,,,,,,,,,,;,,,,;;,;;;;;,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,...'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,'.....'
KKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK0000000000000000000000000000OOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkxxxxxxxxxxxxdddddddddooooollllllllccccccccccccc:::::::::::::::::::::;;::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;:;;;;;:::::::::::cccccccccllllllllllllllllllloloooooooooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddodddddddddddddddo:.              .cddddddddddddddddddoolllllllllcccc::::ccclollllcccccc::;;;;:clc:;;;;;;;;,,,,,,,;;;;;;;::;;:cccclllllllllllllcllllcc:;;;::;;:;;::::::cc::;;;;:::;;;;::::::::::::::;;;;;::::::;;;;;;;,,,,,,,,,;;;,,,;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,,,,,,,,,,,,..'',,,,,,,,,,,,,,,,,,,,,'',,,,,,,.......
KKKKKKKKKKKKKKKKKKKKKKKK00KKK0000000000000000000000000000000OOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkxxxxxxxxxxdddddddddddoooolllllllcccccccccccccccc:::::::::::::::::::;;::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;::::::::::::cccccccccccccllllllllllllllllllloooooooooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddl'                'odddddddddddddddddolllllllccccccc::::::clllllcccccc:::;;::clll:;;;;;;;;,,,,,,;;;;;;;::;;;;:ccccclllllllllllllllc:;;,;;;:;;;;;;::::cc:;;::;;::;;;::::::::::::::::::::::;;::;;;;;;;;;,,,,,,,,;;,,,,;;;;;,,;;,,,;;;,,,,,,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,''',,,,,,'...''''
KKKKKKKKKKKKKKKKKKKKKKKKKK0000000000000000000000000000000OO0OOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkxxxxxxxddddddddddddooooolllllllccccccccccccccccccc::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;::::::::::::ccccccccccllllllllllllllllloooooooooooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddo:.                .:ddddddddddddddddollllllllccccc:::::ccccllllccc:cc::;;:::clolc:;;:;;;;,,,,,,,;;;;;;::;;;::::ccccccllllllllllllcc:;;;;::;;;;,;;;:::lc:;:::;;;::::::;;;;::;;:::::::::::;;;;:;;;;;;;;;,,,,,,;;;;,,,,,,,,,,,,,,,;;;;;,,,,,,,,,,,,'''',,''',,,,,,,,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,''''''',
KKKKKKKKKKKKKKKKKKKKKKKK00000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkxxxxxxxxdddddddddooooooollllllllccccccccccccccccc:::::::::::;;:;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;:::::ccc:::cccccccclllllllllllllllooooooooooooooooooooooooooooooooooodooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddo:.                 .lddddddddddddddoolllllllcccccc::::::ccllllc::::::::;;:::lllc:;;;::;;,,,;;,,;,;;;;;;;;;;:;;:ccccccllllllllccccclc:;;;;;;;;;;;;;:cccc::::::;;::;;;;;;;;::;;;:::::::;:::;;:;;;;;;;:;;,,,,,,;;;;;,,,,,,,,,,;;,,,,,;,,,;;,;;,,,,'..''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,''.'
KKKKKKKKKKKKKKKKKKKKKKK000K00000000000000000000000000000000OOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkxxxxxxxxxdddddddooooooooolllllllllccccccccccccccc:::::::::::;;::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;:::::ccccccccccccclloollllllllllllooooooooooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddc.                 .cddddddddddddoollllllllccccccc::::::clllll::::::;;;;::cllccc:;;;;;;;,,;;,,,,,;;;;;,;,;;;;::cc:cccclllllllllcccc:;;,,;;;;;;,;;:cccc::::::::;;;;;;;;::::::::::::::::::::::;;;;;::::;,,,,,,,;;;;;;;;;;,,,,;;,,,,;;,,,,,,,,,',''..'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,''',,,,,,'''..
KKKKKKKKKKKKKKKKKKKKKKKK00000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkxxxxxxxxdddddddooooooooolllllllllcccccccccccccc:::::::::;:::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;:::::::::cc:ccccccccllllllllllllllloooooooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddo,        .        .cddddddddddoolllollllcccccccc:::::::clllc::::;;;;;;;:clcc::;;;;::cc:;;;,,,,,,;;;;,,;,;;:::::c::cccllllolllllcc:;;,,,;;;;,,,;;ccc::;:::::::;;;:::::;;:::::cccc::::::::::;;:::::::;,,,,,,,,;;;;;;;;,,,;,,,,,,,;;;;,,,,,''',''.',,,,,,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''','..',,,,''.'...
KKKKKKKKKKKKKKKKKKKKKK000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkxxxxxxxddddddddoooooooollllllllllcccccccccccc:::::::::::;:;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;:::::::::::::ccccccclllllllllllllooooooooooooooooooooooooooooooddodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoc. ..   .....  .  'oddddddddddolllllllccccccc::::cc::::cllcc:;::;;;;;;:cllc:;;;;;::ccc:;;;,,,,,;,,,,,,;;;::::::cc::ccclllllllllcc;,;;;;;;;,,,;;:c:::;;;;:::;;;;::::::::::ccccccccc:cc::::::::::::;;,,,,,,,;;;;;;;;;;;;;;,,,,,;;,,,,,,,,,',,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,'',,,''',,'''''''...
KKKKKKKKKKKKKKKKKKKK00000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkxxxxxxdddddddddoooooooooollllllllcccccccccccc::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;:::::::::ccc:ccccccllllllllllloooooooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxddddddddddddddddddddddddddddddddddddddddddddo;..'...'','....  .:looddddddoolllllllccccc:::::::::::cllccc:;::;;;;;:cllc;;;;;;:c:::::;:;,,,,,;,,;,,;;::;;;;::c:::ccclllloollc::;;,,,;;;,,,;;:::::;;;;;:::;;;::::::ccccclcccclcccccclllcc::::::,,,,,,;;;;;;;;;;;;,,,;;,,,,,;;;,,,,,,,',,,,,,,'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,'..'','''''..','''..'''''
KKKKKKKKKKKKKK0K00K00000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkxxxxxxxddddddddoooooooooollllllllcccccccccccc:::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;::::::::ccccccccccllllllllllloooooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxdddddddddddddddddddddddddddddddddddddddddddddo:. ..'''''....      ....',,,,;:cllllcccc::::::::::::cllcc::::;;;;;;:ccc:;;;;;;;;:;;:::::;;,,;;;,;;;;;::::;;;;:cc::ccclloooolc;;,,;;,;;;;,,,;;:;;;::;;;;;;;;;:::::::ccccllcccllcllcllllllc::::;;;,;,,;;;;;;;;;;;,,,,,,;;,,,,,,,;;;,,'',,,,,,,'',,,,,,,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'....',''''..'''.....'',,,
KKKKKK0KKKKKKKK00000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkxxxxxxddddddddoooooooooolllllllcccccccccccc::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,;;;,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;:::::::::::::::cccccccllllllllllllooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxddddddddddddddddddddddddddddddxxxddddddooc;.     ....                      ..';cc:::::::::::::cclllc:::::;;;;;;:cc:;;;;;::;;;;::cc::;;;;;;;;;:::cccc:::;;:ccccclllooolllc:;;::;;;;,,,,,;;;;;;::;;;;;;;;:::cccccclllllcclllllllllllccc:c:;;;;;,,,;,,;;;,,,;,,,,,,;;;,,;,,,,;;,,,',,,''',,,,,,,,,;;,,,,,,,,,,,,,,,,;;,,,,,,,,,,,,,,,,,,,,,,,,,,'''..'''',,...'''.......',,
KKKKKKKKKKKKK000K0000000000000000000000000000000000000O0OOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkxxxxxxddddddddddoooooollllllllccccccccccccc::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;:;;;;;;;;;;;;;;;;:;;;;;;;;;;;;,,,,,;;,;,,,,,,,,,,,,,;;;,;;;;;;;;;;;;;:::;;:::::::ccc:::ccccccllllllllllloooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxdddddddl:'...                                      .';::::;:::;::ccllc::::;;;;;::::cc::;::::c:;;;:cccc::::;;;;::::::cccccc::cclllcclooooollcccccc:;;;,,,,,,;;;:;;;;;;;;;;;;:::clllloooollllolllllllllcccccc:;;;;;;;;;;;;;;;,;;;;;;;;,,,,,;,,,,,,,,,,''''',,,,,,,;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,;;,'''''................
KKKKKKKKKKKK0K00000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkxxxxxxdddddddddoooooooolllllllllcccccccccccc:::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:::;;;;;;;;;;;;,,;;;;;;,,,,,,,,,,,;;;;;;;;;;;;;;;;;;::;;;;:::::ccccccccccccllooollllooooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxdxxdddddxxxdddddddddddo;.                                              ..,;;:;;;:ccclc::;;;;;;;;:ccc:::;:::::c:;;;;:::::::::;;:c::::::::::c::::ccccloooooollccc:::;;,,,,,,,,;;;;;;;;;;;;;;;::ccclloooooooooooolllllollcccc::;;,;;;;;;;;;;;;;;;;;;;;;;,;;;;;;;,,,,,,'...',,,,;,,,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,','''......''.....''
KKKKKKKKKKKKKK0000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkxxxxxxdddddddddoooooooollllllllllcccccccccc:::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:::;;;;;;;;;;;;;;;;;;,,,,,,,,,;;;,;;;;;;;;;;;;;;;;:::;;;;::::cccccccccccclloooolllloooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxddddddddddxxxxxxxxxxxxxxxddddddddddo,                                                   ..'';::clcc::;;;;;;;;;:cc:c:;;;;;;::::;;;;;::;;;;;;;::::::::::;;:::::cccclloooolllccc:;;;,,,,,,,,,;;:::;;;;;;;;;;::cclllooolllooloolllllllllllc::;;;;;;;;;;;;;;;,,;;;;;;;;;;;;;;;;,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,,,,,'',,,,'',,,''''',,,,,,,,,'........'''''',,,
KKKKKKKKKKKK00000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkxxxxxdddddddddddoooooolllllllllllcccccccccccc:::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,;;;;;;,,,;;;;;;;;;;;;;;;;;;;;;;;;;:::::;;::::ccccccccccccllooollllooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxddxxxxxxxxxxxddddxdddddddddo,                                                        ..,:c::;;;;;;;;:;;;::c::;;;;;;;;;;;;;::::;;;;;;;::::;;;;;;;:::;::ccccloooolllcc::;;;;,,,,,,,,;::::;;;;;;;;;;;;::clllllllllloooolllloolllcc:;;,,;;;;,;;,,;;;;,;;;;;;;;;;;;;,;;,,;,,,,,,,,,,,,,,,,,,,,,,,',,,,,,'',,,,,,,,,,,,,,,,,,,,,,,,''',,,'...',,,,,,,,,,........''''',,,,,
KK0KKKKKKKK0000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkxxxxxddddddddddooooooolllllllllllccccccccccc:::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;::::::::::::cccccccccccllooollllloooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxddddxxxdxxxxxxxxxxxxdddddddddddddoc;.                                                             ...',;;;;;;::;;::::;;;;;;;;;;;;;;;::;;;;;,;;;;:;;;;;;;:::;::clcclloooolllcc:;,,;,,,,,,,,,;::;;;;;;;;;;::::::ccclllooooooooollllolllc::;;,,,;;;;,;;;;;;,,,,,,;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,;;;,'',,;;,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,''',,,,,'',,,,........'''''''''''
KKKKKKKK0000000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOOkOOOkkkkkkkkkkkkkxxxddddddddoooooooooooollllllllccccccccccc::::::::::::::::;;;;;;;;;;;:;;;;;;;;;;;;;;;;;;;;;;:;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:::::::::::::ccc::cccccllooolllllooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxdddddddddddddddddddddddddddddddddddddxxxdddddddddddddddddxxxdxxxxxxxxxxxxxxxxxxxddddddddddddl'                                          .....                     ..,;;:::::;:::;;;;;;;;;;;;;,;;;;,,;;,,;;;;;,,,;;;:cc::::clllllloolllccc:;;,,,,,,,,,,;;;;;;;;;;:::::ccccccclllllllooooollloolllc::;;;;;;;;;;,;;;;;;,,,;;;;;;;;;;;;;;;;;,,,,',,,,,,,,,,;;,,;;;;,,,,,;;,,,,,,,,,,,,,'..',,,,,,,,,,,,,,,,,,,,,,,,'',,,'....'...'''''.''''''
KKKKKKK000000000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkxxdddddddddoooooooooooollllllllccccccccc:::::::::::::::::::;;;;;;;;;::;;;:;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:::::::::::ccc::ccccclllllllllloooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxddddddxxdddddddddddddddddddddddddddddxddxddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxddddddddddo;.                                          'ccc::;'..                   .':::::;;:::;;;;;:::;;,,,,,,,,,,;;,,,,;;;,,;;;;:;;;;;:clllllllolllcc:;;;;;,,,,,,,,,;;;;;;;;;::::ccc::ccllllllllooooolloolllc::;;;;;;;;;;,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,;,,,,,;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,,,,,,,,,,,,,',,,'..........'''....'''''
KK0K0000000000000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkxxxdddddddddoooooooooooolllllllccccccccccc::::::::::::::::::;::::;:::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;::::::::::::cccccccccllllllllllllooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxdxdddddddddddddddddxdddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxddddddddddddl;.                                           .:ccc::::;;,.....              .;::::cc::;;;;;;::;;,,,,;,,,,,,,,,,,,,;,,,,;;;,;;;;;:cllccclllllc:;;;;;;,,,,,,,;;,;;;;;;;;;::::ccccccllloooooloooooooolllc:;;;;;;;;;;;;,,,;;;;;;;;;;;;;;;;;;;;,,;;;;;,,,,;;,,,,;;;;;;;;;;,,,,,,,,,,,,,,,,,;,,,,,,,,,,,,,',,,,,,,,,,,,,'''''''....'''..'''''.'..'''''
0KKKK000000000000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkxxxxdddddddddooooooooooollllllcccccccccccccccc:::::::::::::::::::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:::::::::::cccccccllllllllllllloooooooooooooooooooooddodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxdddddxxxxddxdxxxdddddddddddddddddddddddddddddddddddddxddddddxxxxxxxxxxxxxxxxxxxxxxxddddxdddddddddddl,.                                            .;c:::::::;;;;:::::;'..         .,cccllc:;;;;;;:::;;;,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;clccccccllcc:;;,,,,,,,,,;;;;;;;;;;;:::ccccccclllllloooooooooooollllc:;;,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,'',;;;;,,,;;;,,,;;;,;;;;;;,,,,,,,,,,,;;,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,'''','''''''',,''.'''''''''',,,,
KK00K000000000000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkxxxxxxxdddddddoooooooooollllllccclcccccccccccc::::::::::::::::::::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:::::::::cccllllllllllllllllllooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxddxxxxxdxxdddxxddddddddddddddddddddddddddddddddddddddxxddddxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddc.                                              '::::::::::;;::cccc:;;;'.        .,;:ccc:;;;;;:::;;;,,,,,,,,,,,,,,,,;,,,;;;;;;,,,;;;:cccc::::clc:;;;,,,,,,,,;:::;;;;;:::::cccccccclllllloooooooooollllcc:;;,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,'''',,;;,,,,;;;,,,;;;,,,;;,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,''',,,;;;,,''''''''''''',,,''..'''''''''',,,,
KK000000000000000000000000000000000000000000000000000000000OO0OOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkxxxxxxxxxddddddoooooooolllllllllcccccccccccc:::::::::::::::::::::::::::::::::::;;;:;:;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;::::::::cccclllllllllllllllllooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxddddddddxdxxddxxxxddxxxxxxxxxxdxxdxxddxxxxxxdddddddddxxxxxxxdxxddddddddxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddxxxddddddoc,.                                              .;c::c::;;;;;;::ccc:;;;;;'.          .'::;::;;;;;;;;,,,,',,,,,,,,,,,;;,,,,,,,,,,,,;;:ccc::;;;:cll:;;;,,,,,,,;;:::;;;::::cccccllcccclllloooooooooollllcc:::;,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,;;,,,,,;;;,,,;;;,,,,,,,;,,,,,,,,,;;,,,;;,',,,,,,,,,,,,,,,,,,,,,;;;,;;;,,,'','''''''''.''''.'''',,,,,,
00000000000000000000000000000000000000000000000000000000000O00OOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkxxxxxxxxdddddddoooooooolllllllcccccccccccccccc:::::::::::::::::::::::::::::::;;;::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:;::::::::c:ccclllllllllllllllloooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddxxdxddxdddddxdxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxdddddddddxxxxxxxxxxxxddxxxxdxxxxxxxxxxxxxxxxxxxxxxxdddddddddxxxxddddo:.                                                 'ccccc:;;;;:::cccc::;;;;'              .,;;:;,,,,,,,,''',,,,,',,,,,,;,,,,,,,;;;;;;;::cc:;;;;::clc::::;;,,,,;:ccc:::;:::cccccclllllllllllloooooollllcc::;;;;,,;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,;;,,,,;;;,,,;;;;,,,,;;;;;,,,,,,;;;;;,,,,,,,,,,,,,;;;;;;;,,,,,'',,,;;:;;;;,,,,',,''''''''''',,,;;;;,,,
000000000000000000000000000000000000000000000000000000000000O00OOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkxxxxxxxxxddddoooooooooolllllllccccccllcccccccc:::::::::::::::::::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;::::::::ccccccllllllllllllllllooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxddxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddxddxxxxxddoc'               ..                                 .:cccc:;;;;::ccccc:;;;;;;.         .... .,;;;,,,,,,,,''',,,,,,'',,,,,,,;;;,,,;;;;;;:c::::;;;::ccc:;;::;;,,,;ccccc:::::ccccllcllllllllllllloooollllcc:::;;;;,,;;;,;;;;;;;;;;;;;;;;;;;;;;;,,,;;;,,,,,,,;;;;,,;,,;;;;,,,,,,,,,,,,,,;;,,,,,,,,,,,,,,,,;;;;;;;;,,;;,',,,,,;;;,,,,,,,,'''''',,,,,'',,,,;;;;,
000000000000000000000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkxxxxxxxxddddddoooooooolllllllllcclllccccccccc:::::::::::::::::::::::::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:::::::::cccccllllllllllllllllloooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxddxxxddxxxdxxxxxxxxxxxxxxxxxxxxxdddddxxxxxxxxxxxdxxxxxddxxxxdddddddo:'              .;ldo.                                'c:::;;;;;::cccc:;;;;;;;;'  ....',,::;;,,;;;;,,,,,,,,'',,,,,''',,,,,,,,,,,,,,,;;,,,;::;;;;;;:cc:;,,;;:;;,;;:c::ccc:cccccclllllllllllllllllooollllcc:::;;;;;,,;;;;;;;;;;;;;;;;;;;;;,;;;;;,;;;;;,,,,,,,,;;,,,,,,,,;;,,,,,,,,,,,,,,;,,,,,,,,,,,,,,,,,,,,;;;;,',,,'''''''',,,,,,;,,''''''',,''....'',,,,,,
000000000000000000000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkxxxxxxxxddddddooooooollllllllllcccccccccccccccc::::::::::::::::::::::::::::::::::;;;::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:::::::::::ccclllllllllllllllllllloooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddxddddxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxdddxxxxxxxxxxxxxxxxdxxxxxxxxxdddxxxxxxxddxxxxxxxxxxxxdddddddo:.             .'cdxxxd;                               .,:;;;;;::::ccc::;,;::;;:;;,.';::::c::;;;,;;,,,,;,,,,,',''''''',,,,,,,,,,,,,,;,,,,,;;;,,,;;;:cc::;;;;;;:;;;:cc::ccclllllllllooollllllllllllllllllcc::;;;,,;;;;;;;;;;;;;;;;;;,,,;;,,,;;;;;;;;;;,,,,,,;;;;;;,,,,,,;;;,,,,,;;,,;;;,;,,,,,,,,,,,,,,,,,,'''',;,''''..'''''''''',,;;,'''''..........'''',,,,,
00000000000000000000000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkxxxxxxxddddddddoooooolllllllllllccccccccccccccc:::::::::::::::::::::::::::::::::::::::;;;;;;;;;;;;;;;;;;::;;;;;;;;;;;;;;;:::::::cc:::ccccllllllllllllllllllloooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxdddddxxxxxdc.            .':odxxxxxxl.                              .;;;;;;;;::ccc:;;;;;;;;::::::::::;;;;;;;,,,,,,;;,,,,,,''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,;;::cc:;;;;;;;;;;:ccccclllllllllllllllllllollllllllllllcc:;;;;;,,;;;;;;;;;;;;;;;;,,,,,,',,;;;;;;;;;;;,,,,,,;;;;;;,,,,,,;;;,,,,;;;;;;;;;;,,,,,,,,,,,,,,,,,'''',,,,,'''''',''''''',,,,''....'....'''''''',,,,,,,
0000000000000000000000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkxxxxxxxddddddddooooooollllllllllccccccccccccccc::::::::::::::::::::::::::::::::::::::;;;;;;;;;;;;;;;;;:::;;;;;;;;;::::::::::::::::cccllllllllllllllllllloooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddo;          .';coxxxxxxxxxxd,                              ';;;;;;;;:cc:;;;;;;;;;;:::::;;::::;;;;;,,,,,,,;,,,,,,'''''''''',,;,,,,,,;,,,,,,,,,,,,,,;;;:ccc::;;;;;;;:::clccllolllllllllllllllllllllllllllllcc::;;;;;;;;;;;;;;;;;;;;;;;,'',,,,,,;;;;;;;;;;;;;,,,,,;;;,;;,,,,,,,,,;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,'''',,'',,'',,,,,'....',,,,'''.......''''''''',,,,,,;;
0000000000000000000000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkxxxxxxxdddddddoooooooollllllllllccccccccccccccc::::::::::::::::::::::::::::::::::::::::::::::;;;;::::::::::::;;;::::::::::::::::cccclllllllllllllllllllooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddl'         .;odxxxxxxxxxxxxxd;                             .,;;;;;;::cc:;;:::;;;:::::::;;::;;;;;;;,,,,,;,,,,,,,,,'''''''''',,;;;,,,,,,,,,,,,,;,;;;;;;:ccc::;;;;;;;:ccllllooollllllllllllllllllllllllllllccc:;;;;;;;;;;;;;;;;;;;;;;;;,'',,,,,;;;;;;;;;;;;;;,,,,,;;;;;;;,,,;;;,;;;;;;;;;;;;;;;,,;;,,;,,,,,,,,,''''',,,,,,,;,,''''....''''...........'''''',,,,,,,;;::
00000000000000000000000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkxxxxxxxddddddooooooooolllllllllllcccccccccccccc::::::::::::::::::::::::::::::::::::::::::::;;;;;::::;;:::::::::::::::::::::::ccccccllllllllllllllllllooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddc.         .cdxxxxxxxxxxxxxxxd,                            .,;,;;;;::c::;;;;;:;:::::;;;;;;;;;;;;;;,,,;;,,,,,,,,,,''''''''',,,;;;;;;,,;;;;,,,;;;;;::c:::cc::::;;;;;:cclllloollllolllloooollllllllllllllllcc::;;;;;;;;;;;;;;;;;;;;,,;;;,,,,,,;;;;;;;;;;;;;;;;;,,,;;;,;;;;;;;;;;;;;;;;;;;;;;;;;,,,;,,,,,,''',,,,,''',,,,,,;;;;,''..''''''..........''',,,,,,,,,,,;;;;;;
0000000000000000000000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkxxxxxxxddddddooooooooolllllllllllccccccccccccccc::::::::::::::::::::::::::::::::::::::::::::::;::::::::::::::::::::::::ccccccccclllllllllllllllllloloooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddc.         .ldxxxxxxxxxxxxxxxxo'                           .,,,,;;;:::::;;;;;;:;:::::;;,,;;;;;;;;,,,,,;,,,,,,,,,''''''''''',,,,;;;;;;,;;;;,,,;;;;;:cccccc::::::;:cccclooolllllloooolooollllllllllllllllccc::;;;;;;;;;;;;;;;;;;,,,,;;;;;,,,,;;;;;;;;;;;;;,,;;;,,,;;;,,;,,,,;;;;;;;;;;;;;;;;;;;,,,,;,,,,''',,,,,,,,,;;,,,;;::;;,'''''''...........'',,,,,,,,,,,;;,,,'',
0000000000000000000000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkxxxxxxxxddddddooooooooooollllllllllccccccccccccc::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::cccllllllclllllllllllllllllloooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdc.         ,oxxxxxxxxxxxxxxxxdxo.                          .,,,,;;::::;;:;;;;;:;::::::;,,,;;;;;;;,,,,,,,,,,,,,,'''''''''''',,,,,;;;;;;;;::::;;::::::ccccccc::::::ccllloooollooooooooooollllllllllllllllccc::;;;;;,;;;;;;;;;;,,,''',;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,;;,,,,,,,,,;;;;,,,,;;;;;;;;,,,,,;;,,,,,,,,,,,,,;;::;;;;;:::;;,,''''''..'........',,,,,,,,,,,;;,''''',
000000000000000000000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkxxxxxxxxxdddddoooooooooooollllllllllccccccccccccc:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::cccc::ccccllllccllllllllllllllllloooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxc.        .cdxxxxxxxxxxxxxxxxdddl.                          .,;;;::c::;;;:::c::::::cc:,,,,,,;,,,,,,,,,,,,,,,,''''',,,'...'',,,,,,,,;;;;;;::cc::cccclllllllcc::::cclloooooooooooooooooooolllllllllllllllcc:::;;;;;;,;;;;;;;;,,,,''',;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,;;,,,,,,;;,,,,,,;;,,,,,,,,;;;;;;;;;;;,,,,,;;;;;;;;;;;:::;,,,'...'.........''',,,,,,,,,,,,,,,,''',,
00000000000000000000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkxxxxxxxxxdddddooooooooooolllllllllllcccccccccccc::::::::::::::::::::::::::::::::::::::::::::::::::::::::::cccccc::::ccclllcclllllllllllllllllloooooooooooooooooooooodddddddddddddddddddddddddddddddddddddxddddddxxxxxxxxdddxddxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdc.       .:dxxxxxxxxxxxxxxxxddddd:                            .,:::::::;;;::::;;::::::,,,,;;,,;,,;;,,,,,,,,,'''',,,,''.....'',,,,;;,;;;;::::ccccclclllllllllccccclloooooooollooooooooooolllllllllllllllcc::::;;;;;;;;;;;;;,..,,;,,,;;;;,;;;;;;;;;;;;;;;;:;;;;;;,,,;;;;;;,,,;;;;,,,,,,,,,,''''',,;;;;;;;;::;;,,',,,,;;;;;;;;;:::;,,'....''.....',,,,,,;;,,,,,,;;;;;,,''''
000000000000000000000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkxxxxxxxxdddddooooooooooolllllllllllccccccccccc:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::ccc:::::ccclllllllllllllllllllllloooooooooooooooooooodooddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxdddddddxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdc.       'oxxxxxxxxxxxxxxxxxxddddo'                              ..,::;;;;;;;;;;;:::;;,,,,,,''',,,;;,,,,,,,,'''',,,,'.....''',,,,;;;;;;::::::ccclllllllooooolllccloooooooooooloooooooooolllllllllllllcccc::::;;;;;;;;;;;,'..',;;;;;;;;,,;;;;;;;;;;;;;;;;;;;;;;;;,,;;;;;;;,,;;;;;,,,,,,,,,''.',,;;;;;;;;:::::;;,'''',;;;;;;;;;;;;,,,''''..'''.'',,,,;;;;,,,,,,;;;,,,,,,,,,
00000000000000000000000000000000000000000000000000000000000000000OOO0OOOOOOOOOOOOOOOkkkkkkkkkkkkkkxxxxxxxxxddddddddddooooooooollllllllcccccccccc::::::::::::::::::::::::::::::::::::::::::::::::::::::::ccccc:::ccccllllllllllllllllllloooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdc.      .;dxxxxxxxxxxxxxxxxxxdddddc.                                 .',,;;::;::;;;:;,,,,'''',,,,,,,,,,,,,,''''',,,,'....''',,,,,;;;;;;:cc:::ccclllllooooooolllllloooooooooooooooooooooolllllllllllcccccc::;;;;;;;;;;;,,'...,,;;;;;;;;,,;;;;;;;;;;;;;;;;;;;;;;;;,;;;;;;;;,,;;;;;;,,;;,,,'''',,;;;;;;;;;:::::::;;,;;;;;;;;;;;;,,;;;;,,,,,''',,,,,;;;;;;,,,,,,,,,,',,,,,,,,'
0000000000000000000000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkxxxxxxxxxxxdddddddddooooooooolllllllcccccccc::::::::::::::::::::::::::::::::::::::::::::::::::::::::ccccc:ccccclllllllllllllllllllloooooooooooooooooooooooodddoddddddddddddddddddddddddddddddddddddddddddddddddxdddxxxxxxxxddxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxd;.      .:dxxxxxxxxxxxxxxxxxxdddddo'                                     .';:;;;;;;;;,,,,''',,,,,,,;;,,,,,,,'''',,''.....''',,,,,;;;;;;::cccccccllllllloooooollloooooooooooooollooooooollllllllllcccccccc;;;;;;;;;;;,'.....',;;;;,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,;;;;;;;;;;;;,;,,,;;;;,,,'',,,;;;;;;;;;::::::;;;;,;;;;;;;;,,;;;,,;;,'''''''',,,,,;;;,,,,,,,,,,,,,,,,,,,,,,'
00000000000000000000000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkxxxxxxxxxxxddddddddooooooooolllllllcccccccc:::::::::::::::::::::::::::::::::::::::::::::::::::ccccccccccccclllllllllllolllllooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddxdddddddddddddxxxxxxxxxxxxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxd;       .:dxxxxxxxxxxxxxxxxdddddddo,                                         ..,;;;;,,,,''''',,,,,,,,,,,,,,,,,'''''...'''''',,,,,,;;;;;::ccccccccllllllloooooooooooooooooooooolloooooollllllllllcc::::cc::::;;;;;;;;,'....',,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,;,,,,,,;;;;;;;;,,;:::::::::::;;,;;;;;,,'',,,'',,''',,,,,,,,,,,,,,,,,,,;;;,;;;,,,,,,,,,,,
0000000000000000000000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkxxxxxxxxxxxddddddddoooooooooollllllccccccccc::::::::::::::::::::::::::::::::::::::::::::c::::ccccccccccccllllllllllloolllllooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddxddxxxdddddddxxxxxxxxxxxxxxxxxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxd:.       .:dxxxxxxxxxxxxxxxxxdddddddl.                                            ..'''''...''',,,'',,,,,,,,,'''''''...'''''',,,,,,,,,;;;;::cccccccccllllloooooooooooooooooooollloooollllllllllccc::::cc::;;:::;;;;;;,''''',,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,;;;;;;;;;;;;;;;,,,;,,,,;;;;::;;;;;;;:::::::c::::;;;;;;;;,,',,,,,,'',,,,,,,,,,,,,,,,,,,,,,,;;,,,,,,,,,,,,,;;;
00000000000000000000000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkxxxxxxxxxxxxddddddddoooooooooolllllcccccccc:::::::::::::::::::::::::::::::::::::::::::cc::::ccccccccccclllllllllllloooolloooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddxxddxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdc.         ,dxxxxxxxxxxxxxxxddddddddddl.                                               ......'',,,,,,,,,,,,,'''''''''''''''''',,,,,,,,',,;;;;;:cccccccclllllooooooooooooooooooolllloooollllllllcccc:::clc:;;;;::::;;;;,'''',,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,;;;;;;;;;;;;,,;,,;,,,;;;;;;;;;;;;;;::::::::::;;;,,,,,,;;;;;;;;,,,,,,,;,,,,,,,,,,,,,',,,,,,,,,,,,,,,,,,,,,;;:
00000000000000000000000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkxxxxxxxxxxxxddddddddddoooooooollllllcccccccc::::::::::::::::::::::::::::::::::::::::ccc::::ccccccccclllllllllllllloooooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddxxdddxxxxddxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxo,           ,dxxxxxxxxxxxddddddddddddddo:.                                                 ..',,,,,,,,'',,,''''.'''''''''''',,'',,,,,,,,,,,;;;:ccc::::ccllllloooooooooooooooooolllllllolllllllc::ccc:::cc:;;;;::::;;;,,'',,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,;;,;;;,,,;;;;;;;,,,,,;;,,,;;;;,,;;;;;;;;::;;;;;;,,,,,,,,,,;;;;;;;,,,',,,;;;,,',,,,,,,,,'',,,,,,,,,,,,,,;,,,,,;;;;
000000000000000000000000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkxxxxxxxxxxxxdddddddddddooooooolllllllccccccc::::::::::::::::::::::::::::::::::::::::::::::cccclllllllllllllllllllooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddxddxxxxxxxxdddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxo'            'dxxxxxxxxxddddddddddddddoool;.                                                  .',,,,'''',,,,'''...'''''''.''',,,,,,,,,,,,,;;;;:ccc::::ccclllllooooooooolooooollllllllllllllllcc:::cc:;;;:;;:::::::;;;;,,,,,;;;;;;;;;;;;;;;;;;;::;:;;;;;;;;;;;;;;;;,,;;;;;;;;;;;;;,,,;;;;,,,,;;;;;::;;;,,,,,,,,,,,,,,,,,,,,'',,,;,,,'',,,,,,,,,,,,;,,,,,,,;,,,,,,,,,,,,,;;;;,,;,,,;
0000000000000000000000000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkxxxxxxxxxxxdddddddddddoooooooolllllllccccccc::::::::::::::::::::::::::::::::::::::::::c:ccccclllllllllllllllloooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxdddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxd;            ,dxxxxxxxdddddddddddddddooollc'                                                    .','''',,,''''.''.''...''''',,,,'',,,,,,,,;;;:ccc::::ccclllllloooooollollloollllllllllllllllcc::::cc:;;;;;;:::::;;;;;;,,,;;;;;;;;;;;;;;;;;;;;;:;::;;;;;;;;;;;;;;;,,,,;;;::;;;;;;;;;;,,,,,,,,,,;;;;,,,'''','',,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,;;,,,;,,,;;,,,
0000000000000000000000000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkxxxxxxxxxxxxxddddddddddoooooooolllllllcccccccc:::::::::::::::::::::::::::::::::::::ccccccccclcccllllllllllloooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddxxxxxdxxxxxxxxxxxxxxxxxdxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxl.       ..  :xxxxxxxdddddddddddddddoollccl:'                                                    .'',,,,''''''........'''''',,,,,,,,,;;,,,;;;:c:::::ccccllllllloooollllllloollllllllcclllcc:::::::::;;::;;::::;;;;;;;,,,,;;;;;;;;;;;;;;;;;;;;;:;;;;;;;;;;;;;;;;;;;,,;;;::;;;;;;;;;;;,,,,,;,,,,,,,,,,,,,,,,,,,,;,,,,,,,,,,,,,,,,,,;;;;,,''',,,,,;;,,'',,,,,,,,,,,,,,;;;;,,,,,',,,,,
00000000000000000000000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkxxxxxxxxxxxxxdddddddddooooooooollllllccccccccc:::::::::::::::::::::::::::::::::::cccccccccccccllllllllllllooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddxxxxxdxxxxxxxxxxxxxdxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxd:'     .c:.,oxxxxxdddddddddddddddooollccccc:,.                                                     .','...'''...''''''',,,,,,,,,,,,,;;;,;;::::::::cccccclllllooollllllllllllllllcccccccc:;;;;:::::::::::::::;;;;;;;;;;,;;;;;;;;;;;;;;;;;::::;;;;;;;;;;;;;;;;;;;;,,;;;;;;;;;;;;;;;;;;;;;;;,;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;::::;;,'',,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;,'''''''',
00000000000000000000000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkxxxxxxxxxxxxxddddddddddooooooollllllccccccccc:::::::::::::::::::::::::::::::::::cccccccccccclllllllllllloooooooooooooooooooooodoooddddddddddddddddddddddddddddddddddddddddddxdxxxxxxxxxxxxxxxxxxxxxxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdc;...ldxddxxxxxdddddddddddddddooolllccc::;,,'.                                                     .'''''''..'''',,',,,,,,,,,,,;,,;;;,;::;;::cccc:::cclllllllllllllllllllllcccccc:::::;;;;:::::::::;;:::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:::;;;;;;;;;;;;;;;;;;;;,;;;;;;;;;,,,;;;;,,,;;;;;,,;;::;;,,,,,,,,,,,;;,,,,,,,,,,;;;:::::;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;,'''',,,,,
00000000000000000000000000000000000000000000000000000000000000O00OOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkxxxxxxxxxxxxxxdddddddddoooooooollllllccccccccc:::::::::::::::::::::::::::::::::::ccccccccccclllllllllllloooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxdxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdodxxxxxxxxxddddddddddddddooollllcc::;,,,,,,..                                                   .''',,''''''',,,,,,,,,,,,;:,,,,,,;;;;;;;:cc::::cllllllllllllllllllllllcccc::::::c:;;;;::;:::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,;;;;;;;;;;,,,;:;;,,,;;;::;,,,,,,,;;,,,,,,,,,,,,,,,,,;;;;;;;;;;;,,,,,,,,;;;;;;;,,,,,,,,,,,,,,,,;,,,,;;;;,,'',,,,,,,
00000000000000000000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkxxxxxxxxxxxxxxdddddddddoooooooollllllccccccccc::::::::::::::::::::::::::::::::::ccccccccccclllllllolloooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddoooollccc::;,,,,,;;::;,'...                                               .'''..'''''',,,,,;;;,,;;:;,,;;;;:;;;;;;:c::ccllllollllllllllllllllccccc:::;;::cc;;;;:::::;:::;;;;;;,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,;;;;;;;;;;;;:;;,,,,,;;;;,,,,,,,,,,,,,'',,;,,,,,,;;,,,,,,,;;;;;,;;;;,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,,
0000000000000000000000000000000000000000000000000000000000O0000OOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkxxxxxxxxxxxxddddddddddoooooooollllllcccccccccc:::::::::::::::::::::::::::::::cccccccccccccclllloooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddooooolllcc:;;,,,,,;;:::;;;;;;;,'...                       ...                .''...'''',,,,,,;;,;:::c:;;:cc::;,,;;:::cclllooollllllllllllllccccc::::::;;;:cc:::::::::::::;;;;;,,'',;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,;;;;;;;;;;;;;;,,;;;;;;;;;;;;;,,,;;;;;:::;;;;;,,,,,,;;;,,,,,'',,,''''''',,,,,,,,,;;,,,,,,,;;,,,,,;;;,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,,;
0000000000000000000000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkxxxxxxxxxxxxxddddddddddooooooollllllccccccccc:::::::::::::::::::::::::::::::ccccccccccccccclllloolooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddooooolllc:::;,,,,;;:::;;;;;;;;;;;;;;,'....                  .,,'..              .'...'..',,,,,,;;;;;;;;;;;;;;;;;;;:cclllloooooolllllllllllllcccc::;,;;;;;;;::::::::::::::;;;;;;,'',,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,;;;;;;;;;;,,,;;;;;;;;;;;;,,;;;,,,;;;;;;;;;;;,,,,,;;;;;;;,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;,,,;;;;;,,,,,'',,'''',,,,,,,,,,,,,,,,,,,,,,,;
0000000000000000000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkxxxxxxxxxxxxxddddddddddoooooooolllllccccccccc:::::::::::::::::::::::::::::ccccccccccccccccllllooooooooooooooooooooodddddddddddddddddddddddddddddddddddxxddddxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddoooollllcc::;;,,,,;;::::;;;;;;;;;;;;;;,,,,,,,,..              .',,,''.             .'...'''',,,,,,;;;;;,,,,,,,;;;;;:ccllllloooolllllllllllccccc::::;;,,,;;;;;;;;;;;;;;;;::;;;;;;,,',,;;;;;;;;;;;:::;;;;;;;;;;;;;;;;;;,,;;;;;;;;;;,,,;;;;;;;;;;;;;;;;;;,,,,;;;;::;:::;;;;;;:::::::;;;,,,,,,,,,,,,,;;:::;;,,,,,,,,;;;;;;;,,,,,''',,'',,,,,,,,,;;::;;,,,,,,,,,,,
000000000000000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkxxxxxxxxxxxxxddddddddddoooooooollllllccccccccc:::::::::::::::::::::::::::cccccccccccccclllllllooooooooooooooooooodddddddddddddddddddddddddddddddddddddxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddoolllllc:::;;;,,,;:::::::;;;;;;;;;;;;,,,,,,,,,''..             .,,,,''..            ..'''''',,,,,;;;;;,,,,,,;;;;;;::cllllloolloollllllllcc:::::::::;,,,,,;;;;:;;;;;;;;;;;;;;;;;;,,,,;;;,;;;;;;;:::;;;:;;;;;;;;;:;;;;;;,,;;;;;;;;;;;;;;;;;;;;;;;;;;;:;;;,;;;;::c:::cc::::;,,,;;;::;;;;,,,,,,,,,,,;;;::;;,,,''',,,,;;;,,,,,,,,'',,,,,,,,,,,,;;;;;;;;,,,,,,,,,,,,
00000000000000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkxxxxxxxxxxxxxdddddddddoooooooolllllllccccccccc::::::::::::::::::::::::::cccccccccccccclllllllooooooooooooodddddddddddddddddddddddddddddddddddddddddddxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddoddoooooollcc::;;;,,,;;:::::::;;;;;;;;;;;,,,''',,;;,'...             .'''''''..             .''''',,,,;,;;;,,,,,;;;;;;::cccllllllllllllllllccc::::;;::;;;;,,;;;;;;;:;;;;;;;;;;;;;;;;;;,;;;;;,,;;;;;;;::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;::;;::::::;;,'',,,,,,,,,,,,,,,,,,,,,,,,,;,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;,,,,,,,,,,,,
00000000000000000000000000000000000000000000000000000000OO0OOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkxxxxxxxxxxxxdddddddddoooooooollllllccccccccccc:::::::::::::::::::::::ccccccccccccccllllllllooooooooooooooddddddddddddddddddddddddddddddddddddddxdxxxxxxxxdxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxdddddddoooooooolllcc:::;;;,;;::::::;;;;;;;;;;;,,,,,''''',,,,'...             ..'....''..             .''',,,,,;;,,,,,,;;;;;;;;:cccllooolllccllllccc:::;;;;;;;;;,,,,;;;;;;;;;;;;;;:;;;;;;;;,,;;;;;;;;;;;;;;;::::;;;;;;;;;;;,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,;;;;;;;;;,,,,,,,;;,,,,,,,,'',,,',,,,,,,,'',,,,,,,,,,,,,,,,',,,,,,,,,;;;;,,,,,;;;,,,,,,,;;:;;;,
00000000000000000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkxxxxxxxxxxxxdddddddddddoooooolllllllllccccccccc::::::::::::::::::::cccccccccccccccclllllllloooooooooooooddddddddddddddddddddddddddddddddddddxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddooooooollllcc:::;;,,;;::::::::;;;;;;;;;,,;,,,''''',,'''''...            ..'''...''..             .'',,,,,,,,,,;;;;;::::::cclllloolllllccllcc::;;;;;;;;;;;,,,,;;;;;;;;;;;;;:::;;;,,,,,,,,;;;;,,,;;;;;;;::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,;;;;;;;,;;;;,;;;;;,;;;;,,,,,,,;;;;;;;,,,,,,;;;,,,,,,,',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;,,,,,,,,,,;;;;;;;;::::;:::
0000000000000000000000000000000000000000000000000000000OO00OOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkxxxxxxxxxxxxxdddddddddoooooooolllllllllcccccccc::::::::::::::::::::ccccccccccccccccccllllloooooooooooodddddddddddddddddddddddddddddddddddddxdddddxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddoooooolllccc:::;;;;;;:::c::::;;;;;;;;;;;,,,,,''''',,,,,,,,,.             .''''..'....             .',,,,,'',,;;:::::cccclllllllloolllccccc:::;;;;;;;,;;;;,,;;;;;;;;;;;;;;;:;;,,''',,,,,;;;,,,,;;;;;;;;;;;::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,;;;;;;;,,,,,;;;,,,;,,,,,,,,,,'',,;;,,,,,,,,,,,,,;;;;;;;;;;,,;;,,,,,,,,,,,,,;;;;;;;;;;;;;;:;
000000000000000000000000000000000000000000000000000OOOO000OOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkxxxxxxxxxxxxddddddddddoooooooollllllllccccccccc:::::::::::::::::ccccccccccccccccllllllllooooooooooooodddddddddddddddddddddddddddddddddddddddddddxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddooooollllccc::;;;,;;;:::::::::;;;;;;;;;;;,,,,''''',,;;;;;;,,,.             .......'..'.             ',,,'''',;;;::cccccllllllllllllllllcc::;;;;;;;;;;;;;;,,;;;;;;;;::;;;;;;;;,'''',,,,,;;;;;,,,;;;;;;;;;;;;;;;;;;;:::;;;;;;;;;;;;;;;;;;::;;;;;;;,;;;;;;;;;;;;;,,;;;;;;,,;;,,,,,,,;;;;;;;;;;;;;;::;;;;;,,,,,,,,,,,;::::;;;;;;,,,,,;;;;;;,,;,,,,,,;,,,,,,;;;;;,,,;;;,,;;;;;;;;;
000000000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkxxxxxxxxxxxxdddddddddoooooooollllllllllcccccccccc:::::::::cccccccccccccccccccccllllllloooooooooooddddddddddddddddddddddddddddddddddddxxxdddddxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddoooooollllcc:::;;,,;;:::cc::;:;;;;;;,,;;;,,,,,'''',,,,,,,,,,,,,,.             ...''....'''.            ',''',,;;;:ccccccclllllllcllllllc:::;::;;;;;;;;;;;;;;;;;;;;;;;;;;;:;;;,,,,,,,;;;;;;;;;;;;;;;::;;;;;,,;;;;;,;;:::;;;;;;;;;;;;;;::;:::;;;;;;;,,;;;;;;;;;;;;;;;;;,,,;;;;;;;,,,,;;;;;;;;;;;;;;;;:;;;;;,,,,,,,;;;;:::;;;;,,,,,,,,;::;;;;;,,,,,;;;;,,,,;;:::;;;;;,,;,,;;;;;;;;;
0000000000000000000000000000000000000000000O0000OOOOOOOOOOOOOOOOOOOOOOOOOOOOkOkkkkkkkkkkkkkkkkxxxxxxxxxxxddddddddddoooooooollllllllccccccccccccc::cccccccccccccccccccccccclllllllllooooooooooodddddddddddddddddddddddddddddddddxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddodooooooollllccc:::;;;;;;:cccc:::;;;;,,,;;;;;;,,,,,,''',,,,,,'',,,,,,,.            ..',,''',,',,'.           .',,,,;;;::ccccclllccccccclllcc:;;;;::;;;;;;;;;;;;;;;;;;:;;;::;;;;;;;,,,,,,;;;;;;;;;;;;;;;;::;;;;;;;;;;;;;;;:::;;;;;;;;;;;;;:::::::;;;;;;;;,;;;;;;;;;;;;;;::;;,,,;;;;;;;;;;;;;;;;;;;;;;;;:;;,,;;;;;;;;,,;;;;;;;;;;;,,,,,,,;;::::::;;;;;;;;;;,;;,,;;:::::;;,,,,,,;;;;::;;;
00000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkxxxxxxxxxxxddddddddddoooooooolllllllllccccccccccccccccccccccccccccccccccccclllllllllloooooooooddddddddddddddddddddddddddddddddddxdxxxxxxxxxxxxxxxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddxddddddddddddddddddoooooolllccccc:::;;,;;::cccc:::;;;,,,,,,,;;;;,,,',,''',,,,,,,,,,,,;;;;'           .,,,,''''''',,,,.          .',,,;;;::cccllllccccccccccc::;;;;;;;;;;;;;;;;;;;;;;;;:::;;;;;;,,,,;;,,,;;;;;;;;;;;;;;;;;::::::;:::;;;;;;;;;;;;;;;;;;;;;;::;:;;:::;;;:::;;;;,,,,,,;;;;;:;;;;;;;;;;;;;;;,,;;;;;;;;;;;;,,;;;;,,,,;;;;;;;;;;;;,,,;;;;;;;,,;;;;;::::;;;;;;,,,,;;;::::::::::;;;;;;;;;;;;;:;;;,
0000000000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkxxxxxxxxxxxdddddddddoooooooollllllllllccccccccccccccccccccccccccccccccccccllllllllloooooooooodddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddoooooooolllllcccc::::;;;;;:ccccc:::;;;,,,;,,,,;;;,,'''',,,,,,,,,,,,,,;;;;;::,          .,;;;,,''',,,,,,,'.           .,;;::ccccccccccccccccc::;;;;;;;;;;;;;;;;;;;;::;;;;;;;;;;;;;,,',,,;;;;;;;;;;;;;;;;;;;::::;;;;;:;;;;;;;;;;;;;;;;;;;;;;;::;;;;::;;;;:::;;;;;;,;;;;;;;;;;;,,,;;;;;;;,,,,,,,,,;;;;;;;;,,,,,,,,,;;;;;;;;;;;;;;;;:::::;;:::;;;;;;;;;;;;;;;;;;;;:;:::;;;,;;;,,;;;,,,,,,;;;;,,,
00000000000000000000000000000000000000000OO00OOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxdddddddoooooooooolllllllllccccccccccccccccccccccccccccccccccclllllllloooooooooodddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddoooooooollllcccccc::::;;;;::cccc::;;;;;,,;;;;,,,,,,,,,,,,,,,;,,,,,,,,,,,;;;;;::;.         .,,;;;;,;;;;;;;;;,.           .;;::ccclllccccccccc::;;;;;;;;;;;;;;;;;;;;;;::;;;;;;;;;;;;;;;;,,,,;;;;,;;;;;;:;;;;;;;::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;::;;::::;;;;,,;;;;;;;,;;;;;;;;,,,;;;;,,,,,,,,,,,;;;;,,,;,,,,;;;;,,;;;;;;;;;;::::::;::::::;;;,;;;;;;::::c:::::;;;;;;;;;::;;,,,,''''',,,,,,;;
000000000000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxddddddddoooooooooolllllllllcccccccccccccccccccccccccccccccccllllllllloooooooodddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddooooooooolllccccccc::;;;;;::ccccc:;;;;;,,,;;;;;;;,,,,,,,,,,,,;;,,,,,;;;;;;;;;;;;;:;.        .;:;::c:::ccccc::;;.           .;;:cccccccccccc:::;;;;;;;;;;;;;;;;;;;;;;;;;;::::;;;;;;,;;;;;;;,,;;;;,;;;;:;;;;;;;:::::;;;;;;;;;;;;:;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;:::;;;::;;;;;;;;;;;;;::ccc:::::;;;;;;::::;;;,,,,,''',,,,,,;;;;
00000000000000000000000000000000OO0OO00OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxddddddddddooooooooollllllllllccccccccccccccccccccccccllllllllllllllloooooooodddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddoooooooolllllcccccc::::;;;;:clccc::;;;;,,,,,,;;;;;,,,,,,'',,,,,,,,,;;;;;;;;;;;;;;;;;:;.        'ccccccccccccccc:,..      ......';cccc::::c::;;;;;;;;;;;;;;;;;;;;;;;:;;;;;;;;:;;;;;;;;;;;;;;;;;;;;;,;;;;;;;;:;;;;;;;;;;;:;:::;;;;:;;;;;;;;;;;;;;;;;;;;;;;;;;;:;;;;;;;,,,,,,,,;;;;;;::::;;;;;;;;;;;,,,,,,,,,,,,,;:::;;;;,,,,;;;;;;,,;;;;;;;;,,;;;;;;;;,,;,;;;;::::::;;;;;;;::::;;,,,,,,,,,,,,,,,,,;;;,,
00000000000000000000000000000000OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxdddddddddoooooooooollllllllllllcccccccccccccccccccclllllllllllllllooooooooodddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddooooooooooollllcccccc:::;;;;;;:cccc::::;;;;,,,,,,;;;,,,,,,,,,'',,,,,,,,,;;;;;;;;;;;;;;;;;:,.        ,cccllllcclccccccc;'.....';::;;:::cccc::::;;,,;;;;;;;;;;;;;;;;;;;;;::;;;;;;;;;;;,,,,,,;;;;;;;;;;;;,;;;;;;;;:::;;;;;;;;::;;;;;;;;;;;;;;;;;:;;,;;;;;;;;;;;;;,,;:;:::::;,,,,,,,;;;;;;;;;;;;;;;;;;::::;,,,;;;;,,,,,,;;;;;,,,,,;;;;;;,,;;:;;;;;;;,,,;,,,;;;;:::::;;;;;;;;;;::;;;;;;;,,,,,,,,,,,,,;;;;;;,,,,
00000000000000000O000000O000OOO00OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxdddddddddoooooooooolllllllllllllclllcccccccccclllllllllllllllllooooooooooooddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddooooooooolllllccccccc:::;;;;;;::c::::;;;;;;,,,,,,;;,,,,,,,,,,,,,,',,,,,,,,;;;;;;;;;;;;,;;;;;'        .;cccllccccccccc::cccc;;::cclllclllcc:;;,,,,;;;,,''',;;;;;;;;;;;;;;;;::;;;,;;;;,,,,,,,,,;;;;;;;;;;;;;;;;;;;:;;;;;;;;;;::;;;;;;;;;;;;;;;::::;;;;:;;;;;;;;;;;;;;;;::::;;;;;,,,;;;;,,,,,,;;;;,;;:::::;,,;:c::;;;,,,,;;;;,,,,;;;;;::;;;;;;;;;;;;;:;;,,,;;:::c:::;;;;::::;;,,,,,,;;;,,,,,,;;;;;::::;;,,,;;::
00000000000000OO0OOO00OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxdddddddddoooooooooolllllllllllllllllcclllclllllllllllllllllllloooooooooooodddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddoooooooollllllccccccc:::;;;;;;;:::::;;;;;;;,,,,,,;;,,,,,,,,,,,,,,,,,,,,,,,,,;,;,,;;;,,,,;;;;;;'        .;:::cccclcc::cc:::ccc::clllllllcc:;'...',,'...    .',;;;;;:::;;;;;;;;;;;,,,;;,,,,,,,,;;;;;,,;;;;;;;;;;;;;:;;;;::;;;;;;:;;;;;;;;;;;;;;;::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,;;;,,,,,;;;;;;,,;::::;;;;;:::;;;;;,,,,;;;,,,,,;;;;:;;;;;;;;;;;;;;::;;;;;;;;;;;;;;;;;;;::;,,,,,,,,;;;,,,;;:::::::;;;,;;;:clll
0000000000OO00OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxdddddddddooooooooooollllllllllllllllllllllllllllllllllllllloooooooooooooodddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddoooooooooollllllcccccccc::;;;;;::;;:::;;;;;;;,,;,,,;;;;,,,,,,,,,,,,,,,'',,',,,,,,,,,,,,;,,,,,;;::;;;.        .,:::::ccll:::cc:ccclcclllllcc:;;,.   ....      ..',,,;,,,;;;;,;;;;;;,;;;;,;;,,,,,;;;;;;;;;;;;;;;;;;;;;;::;;;:::;;;;;;;;;;;;;;;;;;;;;;:::;;;;;;;;;;;,,;;;;,;;;;;,,;;;;,,,;;;;,,,;;;;;;;;;;;;;:;;;;;;;;;;;;;;;,,;;;;,,,,;;;;;;;;,,;;;::;;;,,;;;;:;;,,,,,,;;,,,,,,,,,,,,,,,,,,,,;;;;;;:::;;;;;;;;:clloool
0000000O00OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxdddddddddoooooooooooolllllllllllllllllllllllllllllllllloooooooooooooooddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxdddddddddddddddddddoooooooolllllllccccccc:::;;;;;:::::::;;;;,,,,,,,;;;;;,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,;;:;;;,.         .,,;::ccc:::c:::cllooolllc:;,,,,'.         .....''....   .....',,;'',;;;;,,,,,,,,;;;;;;;;;;,,,;;;;;;;;;:;;::;;;;;;;;;;;;;;;;;;;;;::;:::;;;;;;;;;;:;,,,,,,;;;;;;;;;;;;;;;;;,,,;;;;;;;::;;;;;;;,,,;;;;;;;;;;,,,,,,;;;;;;;;;,,;;;,,,,;;;;;,,,;::::;,,,,,,,,,,,,,,,,,,,,,,,,,;;;:::;;:::::;;,,;::cloooooll
0000O00O00OOOOOOOOOOOOOOOOOOO0OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxddddddddddooooooooooooolllllllllllllllllllllllllllllloooooooooooooooddddddddddddddddddddddddddddddddxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddddooooolllllllcccccccccc:::;;;;;::::::;;;;;,,,,,;;;;;;,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,;;;;,.              .':cccclllloooollc:;,,,,,;;,.          ... .....        ..,,,,'',,,,,',,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;::;;;;;::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;'',,;;;;;:::::;;;;,;;,,;;;;;;;;,,,,,,,,;;,,;;;;;;;;,,,,,,;;::;;,;;;;;,,,,,,,,,,,,,,,,,;;;;;,;;:::::cc:::::;;;;,;;:ccloddolc::
000OO0OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxdddddddddddooooooooooooololllllllllllllllllllllloooooooooooooooooodddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxxddddddddddddddddddddddddddddddddddooooolllllccccccccccc::::;;;;:::::::::;;;;,,,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,.           ..';coooodoooolc:;;;;;,'......              .....    ...'''',,,,,,,,,,'',,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;::;;;;;;;;;:::::;;:;;;;;;;;;;;;;;;;;;;;;;;;:;,''',,;;;:::::;;;;;;;;,,,,;;;;;,,,;;;;;;;;;;;;;;;;;;;;,;;::c:::;;,,,,,,,,;;;,,,,,,,;;;::::;;:::cc::::::;;;;;;;;;:ccllodolc:::c
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxdddddddddddooooooooooooooolllllllllllllllooooooooooooooooooooooodddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddddddoooooollllllccccccccccc:::::;;;::::c::::;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;'.   ..',;:cooooooolccc::;,,,,;,'..  ......          ......      .'','..',,,,,,,'..',,,;;;;,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;::::;;;::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;::;,''',,,;;;;;;;;;;;;,,,,,,,;;;;;;;;;;:::;::::;;;;;::;;;;;:::::;;;;,,,,,,,,,,,,,,,;;:::::::::::::cc::::;;,;;;;;:cccloooolc:::cll
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxdddddddddddddoooooooooooooooooooooooooooooooooooooooooooooooooddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxdxxddxddddddddddddddddddddddddddddddddooooollllcccccccccccccc::::;::::::::::;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;::cc:;:clooooollcc:;;;;,'....',,'........',,;,.           ..   .... ....'...',,,,,,,',,,,;;;,,;;,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:::::::;;;:::::;;;;;;;;;;;;;;;;;;;;;;;;:;;;:::c:;;,,;;;;:;;;;;;;;;;;,,;;;:::::;;:;;::::::::::::::::;;;,;;;;;;::;;;;,,,,,,,,,,,;;:::::::cccccc:::::;;;,,,;;;::lllloolcc::::ccccc
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxdddddddddddddooooooooooooooooooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddddddddddddooooollllllccccccccccccc::::::;:::::::::;;;;;,,,,,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;::ccllloooooollc::;'.....       ..'',,,'.',,,,,,;;,........           .',. .''....',,,,,,',;;,,;;;;,,,,,,,,;;;;;;;;;;;;;;;;;:;;;;:::;;;;;;;::::::::;;:::::;;;;;;;;;;;;;;;;;;,;;;::::::::c::;;;,,;;;;;;;;;;;,,;:::::::::::::c::::;::::::::::::::;,,,,,,;;;;,,;,;;,;;::;,,;;::::::::::::::;;;;;;;;;;;:::ccclllcccccccclcccccc
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxddddddddddddddoooooooooooooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxddxxddddddddddddddddddddddddddddddddddddoooollllllccccccccccccccc:::::::::::::::;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;:::ccclloooolllc:;;,'....               .'''.',,;,,,,,,;;,...,;;;'.             ..   ...'''...,''.';;;;;;;;;,,;;;,,;;;;;;;;;;;;;;;;;;:;;:::;;;;::::::::::;;;;;;;;;;;;;;;;;;;;;:;;;;;;;:::::::::;::;;,,,,,;;;;;:;;;;;;;::cc:::::::::::;;;;;::cccc::;;;;;;;,,,,,,;;;;;;;;;;;:::;;;;;:::::::::;;;;;;,;;;;::ccclccc::;;;;;:clllllllccccc
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxddddddddddddddddddooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddxdddddddddddddddddddddddddddddddddooooolllllcccccccccccccc:::::::::::::::::;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;::::ccclllllllc::;,''....                        ..... ..'''........',;:;,.                    ..,,''.','..',;;;,,,;,,,;;;;;;;;;;;;;;;;;:::;;;::;;;;;;:::::::::;;;;;;;;;;;;;;;;;;;;;;:::::::;;;:::::;;;;;;;;,,,,,;;;;::::::::::::::::;;:;;;;;;;;:::;;;::;;;;;;;;;;;,,;;:::;;;::::::::::::::;;;;;;::;;;;;;;;:ccccclollc::;:::;::ccllllccccccccc
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxdddddddddddddddddddooooooooooooooooooooddddddddddddddddddddddddddddddddddddddxxdxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddddddddddddddddooooooooooollllccccccccccccc:::::::::::::::::::;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;:::::ccccccccc::;;,''.....                                 ..''.   .''....  ..',;;,,.    .             ....',,,,',,,'',;,,,,,,,,'',,;;;;;;;;;;;;;;;;::;;;;;;;;;:::::::;;;;;;;::;;;:;;;;;;;;;;;;;;:::::;;;;;;;;;;;;;;;;,,;;;;;;;:::::ccccc:::::;;;;;;;;:::;::::;;;;;;,,;;;;;;,,;;;:ccccccccccccc:::::c:::;;,;;;;::::::ccllllllolcc:::clllllllccllcccc:::::c
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxdddddddddddddddddddddddoddoddddddddddddddddddddddddddddddddddddddddxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxddddddddddddddddddddddddddddddoddddddoooooooollllccccccccccc::::::::::::::::::::::;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''......                                             .....   ...     .',;;;,'.    .   .         ....',,,,,''',,,,,,,,,,''''',;,,,;;;;;;;;;;;;;:;;;;;;;;;;:::;;;::;;;::;;;;;;:;;;;;;;;;;;;;;::::;;;;;;::;;::;;;;;;;::::::::::::ccccc:::::;;;;;;;;;;;;;;;;;;;;;;;,,,;;;;;;;;::cccccccccccccc::::::::::;;:::ccccclloololllllllllllllllllollllcc::::::ccc
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddxxxxxxxxddxdddddxxxddddddddddddddddddddddddddddddddddddooooolllllccccccccc:::::::::::::::::::::::::;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,'.                                                                ..'.    .      .',,,'..        .'.. ........''''',,''',,''',''',,,,,,;;,''';:;;;;;;;;;::::;;;;;;;;;::;;;;;;;;;;:;;;;;;;;;;:;;;;;;;::;;;;,,,;:::::::;::::;;;:::::::::::cc::::::::;::::;;;;:::;::;;;;;;,,,;;;;;;;;;;;:::ccccccccccc:ccc:::;;:::::::cccllllloolcccllloollllcclcccllccccc::ccccccclc
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddxxxxxdddxxddddddddddddddddddddddddddddddddddddddoooooooolllcccccccccccc::::cc::::;;::::::::::::;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,.                                                           .....',,.. .........'...          ..........','..',''',,'',,''....',,;;;,,,,,,;;;,,,;;;;;;;;;;;;;;;;;::::;;::;;;;;;;;;;;;;;;;::::::::::;;,'''',::cc:::::::::;;,;;;::::::::::::::::::c:::;;;::::;;;;;;;;;;,;;::::::::::::cccccccc:::ccccc:::;;;::ccllllllcccccccccccllllllllllcc:;;;;;;;;:::::;;:cllll
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxddxddxddddddddddddddxxxdddddddddddddddddddddddddddddddddddddddoooooollllllccccccccc::::::c:::::::::::::::;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;,,;;;,,,.                                    ....                 .''.....'''''.......                ....''..'''..'',''',,'',,''.',;;;;;,..,;;,,;;;,;;;;;;;;;;;;;;;;;;;:;;::::;;;;;;;;;;;;::::;;;::::::;;;,,,,,;;:::::::;;;:::;;;;;;;;;;;::;;;;;;;;;::::::;;:::::;;;;;;;;;;;;::;;;;::::::cccccc::::::::::::;;;:cllolllllcc:::ccccccccllllclllllcc:;;;;::ccc::::::clllll
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooooooolllllccccccccc:::::::::::::::::::::::::;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,;;;;;;;;;,,,;,,'..                          .....'''.                 ........'',,',,,'''..              ........ .......',,,'',''...'',;;,,,,,,,;;;,,;;;;;;;;;;;;;;;;;;;;;;;:;;;;;;;;;;;;;::::::::::::::::::;;;::;;,,,,;;;;:::::::;;;::::;;;;:::::::::;;::::::::;:::::::;;;;;;;;,;;;;:::::::::::::::::::;;;;;;;;;::cooooolllllcc:::cccllcclooooloooooolcccclllllllllllcclc:::
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddddddddxxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxdddddddddddddddddddddddddddxxxxddddddddddddddddddddddddddddddooooooooollllllccccccccccc::cccc::::::::::::::::;;;;;;;;,,,,,,,,,,,,,,,,,,,;;,,,,,,,,;;,,;;;,;;;;;;;,;;;,,,,;;;,'......      .........',,,,;;;,..                  ... ..'.',,'''''....        .........''''.   ......',,,,,''....',,,,,,;;;;,;;,,,;;;;;;;;;;;;;;;:::;;;;;;::::;;;;;;;;:::::::::::::::::::::::::;;;;;:::cc::::::;;;::c::;;;::::;;;:::;;::::::::::;;;;;;:;;;,,;;;;::::::::;;;;;:::;;;;;;;;,;;;;:cclllllcllllcccccccccllllllllloooolllclllllllollooolllccc:;;:
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxddddddddxxxddxxxdddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddxxxdxdddddddddddddddddddddddddddddooooooooollllccccccccccccc::::::cc:::::::::::::;;;;;;;;;;,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,;;;;;;;;;;;'.                  ......',,;;;;,,,,,''.....  .........'''''.......'''......... ...,,;;;;;;;;;,,;;,,;;;;;;;;;;;;;;;;:::;;;;;;;;::;;;;;;;;:::::::::::::::::::::::::::c:::cc:::::::;;;;;::::;:::::;::::::::;;::;;;;;;;;;;;;;;;;;;;;;:::c:::::::;;;;;;;;;;;;;;;;::::ccccccccccllllcccclccclllccllclloollcccllllllllllllc:;,,,,,;::
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxdxxxxdddddddddddddddddddddddddddddxddddddddddddddddddddddddddddddoooooooolllllcccccc::ccccc::::::::::::::::::::;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,;,,,,,,,,,,;;,,;;,;;;;;;;;;;,,,,;;;;;;;,,,,,,,;;;;;,,,;,;;;;;;;;;;,'..                   .....,;;;;;;;;,,,,,''',,'...'''...',,,,,''...',,,,,,,'.......'',,;;,;;,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;,,;;:;;;;;;:::::::::::::::::::::::ccc:::::cc::::ccc:::;;;;:::::::::;;;;;;;::::::::::;;;;;:::::::::::::::::::::;;;;;;;;;;;;:c::cc::cccccccccllc:cccllllccllcllllllcclloollccccclllllcc:;;;;;,,,;::ccc
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxdxxxxdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooooooolllllcccccccccccccccc::::::::::c:cc:::::;;;;;;;;;;;,,,,,,,,,,,,,,;,,,,,,,,,,,,,,,,;;;,,,;;;;,,;;;;;;,,;;;;;;;;;,,,,;;;;;;;;;;,,;;;;;;;;;;,.                     .'''',;;;;,,,,,,,,,,,,,;;,,,..,,''',,,,,,,'''''...',,'...',,;;;;;;;,,'...',,,,;,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;::;;::::::::::::::::::::::::ccccccc:::ccccccc:::;;;;;;;;;::::;;;;;;;;;:::::;;;;;:;:::::::ccccc:::;;;;;:;;;,,,,,;;,;;;::c::cllllllllllllllcccllloooolooooollllccloooollcccllolc::;;;;;;;;::cloolcc
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddooooooollllllllccccccccccccccc:c::::::::::::::::;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,,,,;;;;,,,;;;;;;;,,;;;,,;,;;;;;;;;;;;;;;;;;;;;;;;;,'..                    .',,,,;;,'''..',,,,,;;;;,''',,,,,....'',,'...'''....''...,;;;;;;;;,'.... .',;;,,,'',;;;;;;;;;;;;;;;;;;;;;;;;;;:::::::::::::::::::::::::ccccccc::::::::::::::::;:;;;;;;;;;;;:;;;;;;;;;;;;;;;;;;;;::::cc:cccc::;;;,,,;;;;;,,,,,,;,;;:clccccccllllllloooooolllclloolllooollllllllooooolllllooolc::;::ccc:::cccllllll
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddddddddddddddddddddddddddddoooooooooollllllccccccccccc:::c::::::::::cc:::::::;;;;;;;;;;;;;;;;;,,,;;,,,,,,,,,,,;,,,,;;,,,;;,,,,,,,;;;,;;;;;;;;;;;;;;;;;;;,;;;;;,,;;;;;;;;;;;;;;;:;'.                       .,,,;;,'....''''',;;;;:;;,',,,,,,,'',;;;;,'.',,,.. ..''',,,;;;,,'..   ...',,;;;;,,;;;;;;;;;;;;;;;;;;;;;;;;::;:::::::::::::::::::::::::::c::::::::c::ccc:::;;:;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;::cccccc::::::::::;;,,,,,,,,,,,;;;;:ccllllllllllllllollllllcllllloolloooc:::ccllllllllllllllcc:::cccccc:::::cccclooo
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxkxkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddddddddddddddddddddddddooooooooollllllllcccccccccccccc:::::::::::ccc::::::::;;;;;;;;;,,;;;;,,;,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,;;;;;;;::::;;;;;::;,'.                       ..',,;,.....',,,,,,,;;;::;;;;;,',,,;;;;;;;;;,,'...  ..'',,;,,''''..    .',;,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;::;:::::::::;;:::::::::::::::cc::::::cccccc:::;;;:::::;;:;;;;;;;;::;;;;;;;;;;;;;::::c:::;;;;;:::::::;;;,,,,,,,,,;;::cclcclloloooollllllcc:cccllllllcclllllc:;;:::::::::coolllllc:;;::::;,,,;;;:clloollcc
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxddddddddddddddddddddddddddddddddddddddddddddooooooooollllllcllcccccccccccccc::c:::::c:cc::::::::;;;;;;,,,,;;;,,,,;;,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,;;;;:::;;;;::::::;'.                    .....'''',,'.....',;;;;,,,;;;;:::;;;;;;;,,,,',,''.........,;;,;;;;,;;,'.    .',,,,,,;;;,;;;;;;;;;;;;;;;;;;;:::;;:::::;:::::::::::::::cc::::::cccc:::ccccccc:::::::::::::::::;;;;;;:::;;;;;;;;;:::::::;;;;;;;;;;;;;;;,,,;;;;;;;;::::cccclllllllllllllllcc::::cllllllllccc::::::::::cccllloooololll:::::;;,,,;:::cllllllc:cc
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddddddddddddddddoooooooooollllllllccccccccccccccccccccc::ccc:cc:::::::;;;;;;;,,,,;;;;;,,,;;;;,,,,,,,,,,,,,,,,,,,,,,,,;;,,,,;,,;;;;,,;,;;;;;;;;;;;;;;;;;;,,,;;;;;::::;;;:::::;;'.                    .',,,,,'...''.  .',,;;;;;;;;;::::;;;:;;;,,,;,,''.....',,,,;;;;;;,,.....'''...'..,,,,,,,,',,;;;;;;;;;;;;;;;;;;;;;:::::::::::::::ccccccc::::::::c::ccccccccc:::::::::::::::::;;;;;;:::;;;::::::::::::::;;;::::;;;;;:::;;,,;;;;;;;:::cccc::cllollolllloolllclcclllllccccccc:::::cc::clloooddooooollcclc::::::::cllllllcccclllll
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddddddddddoooooooooooollllllllllccccccccccccccccccccccccccc::::;;;;;;;;;;;;,,,;;;;;,,,,,;;;;,,,,,,,,,,,,,,,,,,,,;,,,,,;;,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;:;;:::::::::::::;,'..         ..        ..''',,'''','...',;;;::;;;;;::::::::::;;;,,;;;;;;,'''',;;;::;,'.....  .'''',,,'.',;;;;,,,,,,;;;;;;;;;;;;;;::;;;;;;;;::::::ccc::cc:::c::::::cccc::::cccc::::::::::::::c:::;;;;;;;:;;;::::::;;;;;;;;;;;;;;:::;;;;;;:::;;;::;,;;;:ccccllcccclooloolllllllooooooooooolc::ccc::::cccccloodddddoollllc:::c:::cclllllcccccccclllllll
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxxdxxxdddddddddddddddddddddddddooddddddoooooooooooooolllllllllllclllcccccccccccccccccc:::c::::::::;;;;,,;;;;,,,,;;;;,,,,,,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,;;;;;;;;;;;;;;,,;;;;;;;;;;;;:::::::::::::::;;;;,'.  .........   .   ..''',,,,''''''';;::::;;;;;:::::::::::;;;;;;;;;::;,,,,;,;;,'... ..',,,,,,,,;;,'',,;;;,,;;;;,;;;;;;;;;;;;;;;;;;;;::::::cc::::ccc:::::::::::::ccc::::::::::::::::::::::c:::;;::;;:;;;;;:::::;;;;;;;::::::;;;;;;;;;;;;;::;;:;,,;:cloolcc:::clodoolccccc:clooollllooolc:;;;ccclllolllooodooollllcccc::::cllllollc:::;;::ccccloolcc
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OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkOkkOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxkkkkxxxxxkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddxdddddddddddddddddddddddddddddooooooooooooolllllllllllllllclllcccccccccccccc:::::::::::::;;;;:;;;;;,,,,,,;;;;;;;;,,,,,,,,;;;;;;;;;;,,,,,,,,,,,;;;,,,,,,,,,,,;,,,,,,,,,,;;;;;,,;;;;::::::;::::::::::c:::;;;;;;;;;;;::::;,............''..''',,;;;:::::;;;;;:::::::;;,,',,;:::;;::::::::::;;;;;;;;;;;;;;;;,;;;;,,,,,,,;;;;;;;;;;;:::;;;;;;;;::ccccccc:::::::::::cccc:cccccccc::::::::::cc::;:::c:::::::cc:::;;:::;;:::;;;;:::cc::;;;;;;;;;;;;;;::::c::::ccllc:ccllollc:;,,;;:loddlc::cc:;;,;:cclodoloollllcccllollccccc:::::::clllllloolllloooodddlc:clllloooollc::cc
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddddddddddddddooooooooooolllllllllllllllcccccccccccccccccccc::::;::::::;;;;;,,,;;;;;;;,,,,,,;;;;;;;,,,,,,;;;;;;;;;;;,,,,,,,,;;;,,,,,,,,,,,,,,,,,,,;;,;;,;;;;;;;;;;::::::::::::::::::::::::::::::::::::;;'.......'',,,''''',;;;;;:::::;;:::::::::::;;;;,,,;;::::::::::::;,,,;;;;;;::;;;;;,,'',,,,,,,,;;;:;;,,;;;;::::;;;;;;;::ccccccc::::::::ccccccccccccccccc::cccc::cccc::;::::::::::::::::;:::;;;;:::::::::;;;;;:::::;;;;;;::::ccc:::cllllllooooll::;;;;;:cloolc::ccc:::::ccloddoooooooollllclllllllllcclccllllooollllllllooooooc:clooooodoooolc:ccl
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OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddxxdddddddddddddddddddddddddddddddddddoooooooooooollllllllllllllllllccccccccccccc::::::::::;;;;;;;;;;;,,,,,,,,,,,;;;;,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,;;;;;,,,;,,,,,,,,,,,,;;;;;;;;;;;;;;;:::;;;;:::::::::::::::ccccccc:ccccc:::;;;;,,;;;'.....''''',;;::::;;;::::::::::::::;;;;;:::::::::;;;::::::;;;;::::::::::::;:::;,,,,,;;;,'.',,;;;;;;;;::::::::cccc::::::::::::c::ccccc:::::ccc::ccccc:ccc:cccc::::::;;::::::;;;;:;;;;;;;;;;;;;;;;;;;;;:::ccc::;:::::::ccloolcc:::;;::::colccc::ccloooolloooollllllllllollcllooooolcccc:ccloddolcccllloooddddoooolloollcccccccllllooooollcccclll
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkOOOOOOOOkkkkOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxddddxddddddddddxdddddddddddddddddddddddddddddooooooooooooooollllllllllllllllllllcccccccccccc::::::::::;;;;;;;;;;;;,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,;;;;,,,,,,;;,;;;;;,,;;;;;;;;::::::::::::::::c:::::cccccccccccccc::;;;;::::::,.   ...,,,;;:::::::;::::::::::;;;::;;;:::::::::::;;:::c:::;;:::::::::::::;;;;:;;,;,'',,,'',;;;;;,,;;::cccc:::::cc::::c:::::::c::::::ccc:::cccccccc:cccc:::;;;:::;::;;::::::;;;;;;::::::::::;;;::;;:::::::c:::;;;;::ccc:::c:;,,,,;;::::coolooolllllllooooloooooooooollllccllloolcc::clllcllooolllllllllllllloodoolooollcccllllllllllllllllcccclc
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkOOkkkkOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxdddxxddddddddddddddddddddddddddddddddddddddddoooooooooooolllllllllllllllllllllllcccccccccccc::::::::;;;;;;;;;;;:::;;;,,;;,,,,'',,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,;;;;;;;;;;;;;;;;,;;;;;;;;;;;;;::::::::::::::ccc:ccccccccccccccccc:::::::ccccc:;'....',;;:::::::::::::::::::;;;;:::::::::::::::::::::ccc:::;;;::::::;;;,,,,;;;;;;;;,'...'',,;;;,,,;;::ccccc:::::c::::::::::cccc:::::ccccccccccccc::ccccc::::::::;;;;:::::::::::::::cccccc:::;;;;:::::::::;:::::::cccccc;,,;;,'',;:::::cooooooooooolcllooollloooddoooollllllollcc:::ccllllccccccccccccllllllllllllccllccccllllllllccccccllc::;::cc
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxddxxdddddddddddddddddddddddddddddddddddddooooooooollllllllllllllllllllllllllccccccccccc::::::;;;;;;;;;;;;;;;;;;;;,,,;,,,,,,,,,,,;;;;;;;;;;;;;;:;;;;;;;;;;;;;;;;;;;;;,,,;;;;;;;;;;;;;;;;;;;;;;;;;;:::;;;;;;;::::::::::cccccccccccccccccccc:::::::::cccccccc:;;:::::::::::::::::::;::;;;;;;;:::::::::::::::;:::::c:::::::::::::::;,,,,,;;;;;;;;;;,'..',,'',;;::::::::::::::::::::::::::c::::;;::cccccccccc::::ccc:::::::;:::::::::::::::::::::::::::::::;;:::ccccc::ccc::cclllllcllc;'',,,,,;::cclloooollllloooolllollllooooooooooollllllllllcclllcllcc:::::::::::clllllllcccccllllcllllllclllllcccllc:;;::cccl
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OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddoooooooooolllllllllllllllllllllllcccccccccccc:::::::;;;;;;;;;;;;;;;;;;;;;;;;,;;;;;,,,',,,,;;;;;;;;;;;;;;;;;;;;::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:::::;;;:::::::::::::ccccccccccccccccc::::ccccccccccccccc::cc:::cccc:::::::::::::;;;;;;:::::::cc:::::::::::::::::::::::::::::::::::::::;;;;::;;;;::;,;:::::::::c:::::cccccccccc:;;;,,,,;;;;;::::::ccccccc:::::::::::::::::::c:::::::::::;;;::::;::::::::::::clllc:::cloollllllllllcc:;;;::ccllooooollllllloollclllooooolllllcclllooooooooooolc::clllll:;;:;:ccc::ccccllllllllloooooolllllllcllllllcccc::ccloooolll
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddooooooooooollllllllllllllllllcccccccccccccc::::::::;;;;;;;;;;;;;;,,,;;;;,,,,;;;;;;;;,,,''',,;;;;;;;;::;;;:::;;;;;::::;;;;;;;;;;;;::;;;;;;;;;;;;;;;;;;;;;;;;;;;::::::::::::::::::;;:::ccccccccccccccccccccccccccccccccccccc::::cccccccc::::::;;;;;::;::::::::::::ccc::::::::::::::::::::::::::::::::::::::::::::::;;:::;;::cccccccccc:::ccccccc:;;;;;;;;;;;;:::cccccccccc::::::::::::::::::::::::::::::::;;;;::::::::ccccc:::::::ccc::clllolllllllllllcccccllllooooollloollloooollllooddoolllllllllllllloolloolc:;:cloll::cccccllllllllccccloooooolloooooollllllloolccclllllllllllllcc
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkOOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddoooooooollllllllllllllllllllccccccccccccccccc::::::;;;;;;;,,;;;,,,,,,,,,,,,,,,'',,,;,,,,,,,,,,,;;;::::::::::::::::::::::::;;;;;;;;;;;::::;;;;;;;;;;;;;;,;;;:::::::::::::::::::::::;;;;::cccccccccccccccccccccccccccccccccccccc::ccccccccc:::::::;;:::::::::::::::cc:::::::::::::::::::::::::::c:::::::::::::::ccc::::::::::cc::cccccccccccccccc:::;,,;;::;;::::ccccccccccccc::::::::::::::::::::;:::::::::ccc:::::::::ccccccc:ccc:;;:cllcclooooolllllllllllccclloooooolccloolllloolccloooolllllccllolccloollllccc:;;:cllllcccllllloooooolllllllooooooolodddddolccccclllllllllllccclllllccc
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkOOkkkkOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddoooooooooollllllllllllllllllccccccccccccccccccccccc:::::;;;,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,;;;;;::::::::::::::::::::;;;;;;;;;;;;;;::::::;;;;;;;;;;;;;;;;;::::::::::::::::::::::;;;;::::ccccccccccccccc:::cccccccccc:::::cccccccccc:::::::::::::::::::cc::::cccccc:::::::::::ccc:::::::ccc::::::::::::::::::cc:::::ccc:ccccccccccccccccc::::::::::;;;;:cccc:ccccccccccccccc::::::::::::::::::::::::::::cccccc::::::::::ccccccccclc:::clllllloooooollcllllllllcclllclloolloooollllooolllllc:::ccclllllccclooollllc:;;:clooolllollllooooooooollllllllooooooooooollclccccllllllllllccclllllooll
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddooooooooooooolllllllllllllllccccccccccccccccccccccccc:::::;;;;;;;,,,,,,,,,,,;;;;;;,,,'''',,;;,,,,,;;;;;;:::::::::;::::::::::;;;;;;;;;;;;;:::::::;;;;;;;;;;;;;:::::::::::::::::::::::::;;;;;::cccccccccccccccccccccccccccccc:::::ccccccccc::::;;;;:::::::::::cccc:::ccccc:c::::::::::c:::c::ccccccc:::::::::::::::::::ccc:::::ccccccccccccccccc::;;;;;;;;;:::::ccccccc::ccccccccc::::::::::::::::;;;;;;;::::::::::::::::::::::::clloolllllc:::cloooooooloollccclllllllool:::::ccllooooooooooooollc::;;:::clooolcclooooollllccclodddoooooooooooollloooooooooooooolloooooolcccccccllllllloollllllllooolll
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxkkkxxkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddooooooooooooooooollllllllllcccccc::::::::cccccccccc::::::::::;;;;;;;;;;;;;,,,,;,,;;;;;;;,,,,,;;;;;;;;;;;:::;;:::::::::::::::::::::::;;;;;;;:::::::::::;;;:::;;::::::::::;;;;;;;::::::::::;;;;;;:::cccccccccccccccccccccccccccc:::::ccccccccc:::::::;:::::::::::cccccccccccccc:::::::::cccc::::ccccccc:cc:::::::::::::::::::::::::::::ccccccccc:::ccc:;,,;;;;::::::cccccccccc:ccccc:::::::::::::::::::;;::::::::::::::::::::cccc::::::looooooollc;;:clloooooollollclloollloooooc;;:clllooooooooooooooolc::::::cllooollllllooolllllooddddoooooooooooollclllllloooollllllllooolc:::cclcllllllllllllllllllllooooo
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxkkxxxxkkkkkkxkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddoooooooooooooollllllllccccccc:::::::::ccccccccccccc:::::::::;;;;;;;;;;;;;;;;,,,,,,,,,,,,,;;;;;;;;;;;;;;;::::::::::::::::::::::::;:::::::::;;::::::::::::::::::::::::::;;;;;;;;;;;::::::::::;:::::::::::c:ccccccccccccccccccccccccc::ccccccc:::::::::::::::::::ccccccccccccccccc::::::::ccc:cc::::::::cccc::::::::::::::::::cccc:::::::::ccccccc::::::::;;;;::::cccccccccccccccccccc::::::::::::::::::::::;;:::ccc::::::cc:::c:::c::::::cloooool:;;;::cclloooooooooolllooooooddoolc:ccllooooollllllollllllcc::cclllllllccllloollcccloooooolloooooolllllccccccccclllooooloooooolc::;:cllcclllcccllllllolllllooooooo
OOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOkkOOOOOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxkkxxxxxkxxxxkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddxxxddddddddddddddddddddddddddooooooooooooollllllccccc::::::::::::ccccccccccccccc::::::::::::;;;;;;;;;;;;;;;;;,,,,,,,,;;;;;::::::::::;:::::::::::::::::::::::::::::::::::::::::c::::;;;::::::::::::::::;;;::::::::::::::::::::::::::::::ccccccccccccccccccccccccccccccccc:::::::::;;;::::::::cccccccccccccc:::::cccccccccccccccccccc::::::::::::::::c::::cc::cccc:cccc:cccccccccc:;;;;;:::;::cccccccccccccccc:::::::::::::::::::::::::::;;::::cccc::::::ccccc:::::::ccccclodoollc;,,;:ccllllloooooodolllooooodoolcllllllllllc::::clllllllollllllloooccccccllllcc:ccloooollllllllllllllllllcc:::::cllooooolloooolcccclolccccc::cloddollooollooooolllc
OOOOOOOOOOOOOOOOOOOkkOOOOOOOOkkOOOOOkkkkkkOOkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxkkxxkxxkkxxxxxxxxxxxxkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddxdddddddddddddddddddddddddddooooooooooooooolllllllccc::::::;;;::::::cccccccccccc::::::::::::::::::;;;;;;;;;,,;;,,,,,,,,,,;;;;;;;;:::::::::::::::::::::::::cc:::::::::::c:::::::::ccccc:::;;;::::::::;;:::;;::::::::::::::::::::ccc::;;;:::cccccccccc::cccccccc::cccccccccccccc:::::::;;;;;;::::cc:ccccccccccccccc::::ccccccccccccc::::cccccc:::::::::::::ccc:cc:::::c::::ccccccc::cccc::;,;;::::::cccccccccccccccc::::::::::::::;;;;;;:::::::::;::cc:::::cccccc:::::::::cccccclodddolcc:;::clllcloooooddddolccclloodolccclllllllllc:::cllcccloooooooooooooc:::cccc::;::cloooollllllllllllooooollc:;:c:::clooooollloolccllllolcllc::ccodxdolooolloooollllllc