spidyswing.go

package frames

var Spidy = DefaultFrameType(spidyframes)

var spidyframes = []string{
	`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
	dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxdddxxxxddddddddddddddddddddddddddddddxxxxxxxxxxxxxddddddddxxxxddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxdddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddoooooooooooooooooooolcccodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxdol:;;cxO
	ooooooooooooooodddddddddddddddddddddddoooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddoolllllllllllllllllllc:;:lddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddddddol:,',:lk0
	dddddddoodddddddddddddddddddddddddddddoooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxddddxxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddoolllllllllllllllllllc:::lodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddddddddol:;,,:ldO0
	dddddddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddollllllllllllllllllllc:::coddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddxxxdddddddddddddddddddddddddolcc:::cloxO0
	dddddddooddddddddddddddddddddddddddooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdollllcccclllllllllllllc:;:cldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddddddddooccccccclodxO0
	ddddddddodddddddddddddddddddddddddddoooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdolllcc::ccllllllllllllc:;:cldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxdddddddddddddddddddxxxxdddddddol:;:clc:coddxO0
	ddddooooooodddddddddddooddddddddddddoooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddolllc:;;:cllllllllllllc:;:cldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxxxxddxxxddxxxxdddxxxddddddddddxxxxddddoc:;::llcclddodkO
	ooooooooooooooodddddddddoddddddddddoooooooooooodddddooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddolllc:;;:cllllllllllllc:;;:loxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxddddxxddddddxddddxxddddxxxddddddddddxdddddolc:;:clccccllc:cdk
	oooooooooooooooodddddddddddddddddddoooooooooooodddoooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddolllc::::cllllllllllllc:;;:lodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddxxxxxxxdddddddddddddddolc:;;:cll:;:cc:;;:dO
	ooooooooooooooodddddddoodddddddddddoooddoooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddollllcccccllllllllllllc::::lodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddxxxxdddddddxxxxdddddol:;;::cccc;,;::::cok0
	oooooooddoooddddddddddddddddddddddddooddoooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddollllllllllllllllllllllc::clodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddxxddddddddxxdddddddddddddddddddddddddddlc:;;:cccc:::ccccclodO0
	oooooooddoooddddddddddddddddodddddddoooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddollllllllllllllllllllll::::coddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxdddddddddxdddddddddddddddddddddddddoc:;;:::;:::::cllccoooxO0
	ooooooooooooddddddddddddddddodddddooooooooodddddddddddddddddddddoooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddolllllllllllllllllllllc:;;:coddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddddoc:;;;::;;:ccccllllodddxO0
	oooooooooooooddddoddddddddddodddooooooooooddddddddddddddddddddddoooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddolllllllllllllllllllllc:;;;clddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddxxddddddddddddxxxdxxxdddddddddddddddolcc:;;;:::ccllccclooddddxO0
	ooooooddddooooodddddddddddddodddoddddoooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddoolllllllllllllllllllllc:;;;:lodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddxxddxxddxxxxxxxddddddddddddddoc:::::ccccllcc:;:coddddddxO0
	ooooooddddooooddddddddddooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdolllllllllllllllllllllllc::;;:lodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddxddddxxxxxxxxxxxdddddddddddolc:;;;:cllccllc;;:lodddddddxO0
	oddddoooooooddddddddddddooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdollllllllllllllllllllllllc:;;:clddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddxddddxxxxxxxxxxxddddddddddol::;;:cllollccc:::lddddddxddxO0
	dddddddoddddddddddddddoooooooooooooooooodddddddooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxdxxxxddddxxxxxxxxxxxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdollllllllllllllllllllllllc::;:clodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddxddddxxxxxxxxxxdddddddddolc:::c:cloolccc::clodddddddxddxO0
	ddddddddddddddddddddddoooooooooooooooooooddddddddddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxddddddxdddddxxxxxxxxxxxxxxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddollllllllllllllllllllllllc::;:cloddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddxddddxxxxxxxxddddddddddol::cccccloooc;;;:coddddddddddddxO0
	ddddddddddddddddddddddddooooooooooooooooodddddddddoooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddodddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxddddddxddddddxxxxxxxxxxxxxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddoooooooollllllllllllllllllllllllllccccclloolooddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddxxxxxxxxxxdxdddddolcclooccllol:;,;:lodddddddddddddxO0
	ddddddddddddddddddddddddooooooooooooooooodddddddddddooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddollllllllllllllllllllllllllllllllllllllllcc::clodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddxxxxxxxxxxxxxxdddocclodol::clc:,',:ldddddddddddddddxO0
	ddddddddddddddddddddddddoooooooooooooooooddddddddddddooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddoollllllllllllllllllllllllllllllllllllllllc::;:clddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddxxxxxxxxxxxxxxxddolcclooolc:cll:;;:coddddddddddddddddxO0
	ddddddddddddddddddddddddoooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddollllllllllllllllllllllllllllllllllllllllc::;:clddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddxxxxxxxxxxxxxddolccloolc::cllc::coddddddddddddddddddxO0
	dddddddddddddddddddooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddollllllllccccllllllllllllllllllllllllllllc::;:clddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddxxxxdxxxdddolccllllcc::::::clodddddddddddddddddddxO0
	ddddddddddddddddddooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddolllllllc:;;:clllllllllllllllllllllllllllcc:;:clddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddxdddxddolc::cllllc::::::cldddddddddddddddddddddxO0
	dddddddddddddddooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddolllllllc:;;:cclllllllllllllllllllllllllllc:;:clddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddl:;;:clllcc::cc:cloddddddddddddddddddddddxO0
	dddddddddddoooddooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxddddddddddddddddddxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddolllllllc:,;:cclllllllllllllllllllllllllllc:;:clddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddoooolc:;;:cllllc::::cloddddddddddddddddddddddddxO0
	ddddddddddddddddddooodddddddooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxddddddddddddddddddxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddolllllllc:,;:cclllllllllllllllllllllllllllc:;::lodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddxxdddolc::;;;,,;::ccclool:;;clodddddddddddddddddddddddddxO0
	ddddddddddddddddddddddddddddddddooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddollllllll:;;:cclllllllllllllllllllllllllllc:;;:lodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddoooooodddooc:;;,,,'''',,;:cooolc;;cldddddddddddxxddddddddddddddxO0
	dddoooddddddddddddddddddddddddddddddddddodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddollllllllcccccllllllllllllllllllllllllllllc:;;:lodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddlc::;;:::cc:;,,,,,;,,'''',,;coolc::loddxdddddddddddddddddddddddddxO0
	dddoooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddolllllllllllllllllllllllllllllllllllllllllc:;;:lodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:;,,,,,,,,,''',,;;;;,,,,,,,,;;:::clodddddddddddxxxdddddddddddddddxO0
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	ddooooooooooodddddddddddddddddddddddddddoddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddoollllllllc:::cclllllllllllllllllllllllllllc:;;:codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddol:,,,,,,,,,,,''''',,,,,,',,;;,,,,,,,,;clooddddddddddddddddddddddddddxO0
	ddoooooooooooodddddddddddddddddddddddddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddoollllllllc;;;:clllllllllllllllllllllllllllc:;;:codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:;,,,,'',,,,,,''.'',,,,,,,;,,',,,,,'',,;:cloodddddddddddddddddddddddxO0
	ddoooooooooooddddddddddoodddddddddddddoooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddollllllll:;;;:clllllllllllllllllllllllllllc:;;:codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddoc;,,,,,,,,,,,,,,,,''''',,,,,,,,,,,;,,'',,,'',;clodddddddddddddddddddddxO0
	oooooooooooooooddddddoooodddddddddoooooooooooddddddddddddddddddddddddddddddoooodddooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxddxxxxxxxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddollllllll:;;;:clllllllllllllllllllllllllllc:;;:codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc;,'',,,,'''',,,,,,'....''''',,,,;;,,,,,,,,''.',;coddddddddddddddddddddxO0
	ooooooooooooooooooooooodddddddddooooooooooooodddddddooooddddooooooooolllllllllllllllloooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxddddddddxdddddddxxxxxxxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddollllllllc;;;:clllllllllllllllllllllllllllc:;;:codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddoc;,,,''',,,,,,,,,,'.....'''...'',,,,,,,,;;,,'',,,,,:coddddddddddddddddddxO0
	ooooooooooooooooooooodddddddddddoooooooooooooddddddoooollllcccccclllllllllcc::::::::::cccccc::ccccccclloooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxddddddxxxxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddollllllllc:::cclllllllllllllllllllllllllllc:;;:codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddol:;,,,,'',,,;;;;;;,,'....',,,''.''''..',,,,,,,,,,;,,',;lddddddddddddddddddxO0
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	ooooooooooooooodddooooooooddddddoooooooddooodddddddooddooollllccc::;;;;;;;;;;;;;;::::;;;;;:ccccllc::::cllcc::::ccc::::cclllooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxdddddddxxxxxxxxxxxxxxxxxxxxxxxdddddddooooollllllllllllllllllooodddddxxxxxxxxxxxxxdddolllllllllccccllllllllllllllllllllllllllllc:;;:codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxddoc;''''',,''',,;;;;;;,''..',,;;;;,,,,,,,,,;;,'',,;;;;,,;;:lodxxdddddddddddddddxO0
	ooooooooooooooooodooodddddddddddoooooooddooodddddddoooolc:;;;;::::::::::;;;,,'''',;;;:::;;;;;::ccllllcccclllllcc:ccccc::::::cllooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxdddddddddddddddxxxxxxxxxxxxxxxxdddoollcc::;;;;;,,,,,,,,,,,,,,,;;::cllodddxxxxxxxxxxdddollllllllc:;;:clllllllllllllllllllllllllllc:;;:coddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc;,''',,'''..',,,,;,,,'..',,;;,,,,,,,,,',,;;,,',,;,,,,;;clddddddddddddddddddddxO0
	oooooooooooooooddddoodddddddddddoooooooooooooooooodddoolc::::cccc::;,,,,;;;;;;,,;;;;;;;;;;;;;;;:clloolllcccclllccc:ccccc::::cccccclloooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxdddddddxxdddddddxxxdxxxxxxddddoolc:;;;;,,,,,,,,,,,,,,,,'''''',,,,,'',;:cloddxxxxxxxddoollllllllc;,,;clllllllllllllllllllllllllllc:;;:coddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdl:,,,,,,,''''''',,,,,''..'',,,,,,',,,,,,,,;;,,,,,;;;;;;;cldddddddddddddddddddddxO0
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	''',:loooooooooooooooooddddddooooooooooddoodddoooollllllllllllllllcclllc;'...',;:clloodddddddddddddodddddddoc,''''''''''..'',,,''''',,,'''..',,,'',:lodddddddolc;,'''''''''''''''';coodddddddddddddddddddddddddddoc,'''''''',,,;;;;;;;;;;;,,'',,,,,,,,,,,,,,,;,,,'',,;;;;;;;;,,'',;;;;;;;,,,'',,;;,,',:clllllllllllllllllccccllllllllllllllllllllllllllllcc:;;;;;;:clodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddl:;,,;;;,,',,;;;;;;;;;;;;;;,,,,,,;;;;;;;;;;;,,;:oddlc::cc;,,::;,,;cdxxxxxxxxxxxxxxxxdddddddddddddxO0
	''',:looooooooooooooooodddddddoooooooooddodddoooolcccclcccccccllcccccllc;'.......',;:clooooodddddddooddddooc;''''''''''''''',,'''''''''''...''''''';coodddddol:;'''','''''''''.'',:loddddddddddddddddddddddddddddoc,..',,,,''',,,,;;;;;;,,,,,,,;;;;;,,,,,''',,,''',,;;;;;;;;,,,'',;;;;;;;;,,''',,,''',:cllllllllllllllllllllllllllllllllllllllllllllllllllc:;;;;;;:clodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol;,',,;;,,,,,,;;;;;;;;;;;;;;,,,,,,;;;;;;;;;;;,,;:oddoc;;:c;,:clc:,,cdxxxxxxxxxxxxxxxxxddddddddddddxO0
	'',;:lloooooooooooooooodddoooooooooooooooddddoooolcccllccccccccccc:ccllc;'...........';:clooddddddoooddddoc:,'',,'''''''''''',,''',,,,,,,'..''''''',:loddddol:,'''''''''''''.'',:loddddddddddddddddddddddddddddddoc'..',,;;,,,',,,,;;;;,,'',,,;;;;;;;;;;,,,,'''.'',,,,,,,,,,,,''',,;;;;,,,,,'''','''';clllllllllllllllllllllllllllllllllllllllllllllllllllc:;;;;;;:clodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc;,'',,,,'',,;;;;;;;;;;;;;;;;,,,,,;;;;;;;;;;;;,,;:oddoc;;:c:;clll:,;codxxxxxxxxxxxxxxxxxdddddddddddxO0
	'',;:loooooooooooooooooooooooooddddoooooodddoooolc::cllccc:cccccc:;:cll:;'..............';cloddddddddddddl:,,,,,,'''''''',,,,;;;;,,;;;;;,,,'''''''',;coddool:,'''''''''''''',;:loddddddddddddddddddddddddddddddddl:'..',,;;,,,,,,,,,;,,,'',,;;;;;;;;;;;;;;;,''...',,,,,,,,,''''''',,,,,,,,,'...'''',,:cllllllllllllllllllllllllllllllllllllllllllllllllllcc:;;;;;;:clodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddl:,',,,'''..',;;;;;;;;;;;;;;;;,'',;;;;;;;;;;;;;,,;:odol:;;clcccll:;,;coddxxxxxxxxxxxxxxxxdddddddddddxO0
	''';:loooooooooooooooooooooooooddddooooooddooooolc::cclcc:::cccc::;:cllc,'...............';cooddoddddddddl:'''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',:odolc;,'''''''',,'''';cloddddddddddddddddddddddddddddddddolc;'''',,;;,,;,,,'',,,,'',,;;;;;;;;;;;;;;;;,,''',,,,,,,,,,,''....'',,,,,,,''...'''',:clllllllllllllllllllllllllllllllllllllllllllllllllllcc:;;;;;;:clodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdl:,',,;;,,''.',;;;;;;,;;;;;;;;,,'',;;;;;;;;;;;;;,,;:odol:,;lolcccc:;;:coddxxxxxxxxxxxxxxxddddddddddddxO0
	''',:loooooooooooooooooooooooooddddooooooddooooolc::cllcc:::cccc::;:cllc;'................,:looooodddddddl:''''',,,,,,,'''''''''''''''',,,,,,,,,,,,'';ccc;,'''''''''',,'',:lodddddddddddddddddddddddddddddddddolc;,,,'',,;;;;;;,,,''''',,,;;;;;;,,,,;;;;,,,,,,,,,;;;;;;;;;;,,''',,,,,,,,,,,,''',,'';cllllllllllllllllllllllllllllllllllllllllllllllllllllcc:;;;;;;:clodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc;,,,;;;;,,,'',,,;;;;;;;;;;;;;;,'',;;;;;;;;;;;;,,,;:lolc;;:llc::clll::lodddxxxdxxxddxxdddddddddddddddxO0
	''';:looooooooooooooooooooooooooooooooooodoooooolc::cllcc:::cccc::;:cllc:;,'''',,,,,,,,,''',;:cclooodddddl:'',,,,,,,'''''''''''''''''''''''''''''''..'''''''''',,'''''',;coddddddddddddddddddddddddddddddddddoc:,'',,''',,,;;;;,,,'..'',,;;;;;,,,,;;;;;;,,''',,;;;;;;;;;;;;,,'',;;;;;;;;;;;,,''',,,:clcclllllllllllllllllllllllllllllllllllllllllllllllllcc:;;;;;;:clodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc;,,;;;;;,,,,,,,,,;;;;;;;;;;;;;,''',,;;;;;;;;;;,,,,,:clc:;;:cc:;clolc:clodddddddddddddddddddddddddddddxO0
	''',:loooooooooooooooooooooooodddddddooodoooddool:::cllcc:::cccc::;:cllccccccccccccccccc:;'...',;clooddddl:'',,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''...'''''','''..';codddddddddddddddddddddddddddddddddolc;''',,,,,'',,;;,,,,''''''',,,;;;;;;;;;;;;;,,''',;;;;;;;;;;;;;,,'',;;;;;;;;;;;,'..'',:clllllllllllllllllllllllllllllllllllllllllllllllllllllcc:;;;;;;:clodxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxxxdol:,,,;;;;;,'',,;;;;,,,,,,,,;;,,,,'..',,,;;;,,,,,,,,,,,;:cc:::cc:;:lc::cloddddddddddddddddddddddddddddddxO0
	''',:looddooooooooooooooooooooddddddddddddddddolc:;:cllcc:::cccc::;:clllllllllllllllllllc:,......,;coddddo:,''',,,,,,,,,,,,,,,,,,,,,,',,,,,;;,,,,,'''''''''''''','''',;coddddddddddddddddddddddddddddddddolc;''''',,;;,,'',,;;,,,'',,,,,,,,,,,,;;;;;;;,,,''',,;;;;;;;;;;;;,,,',,;;;;;;;;;;;,'..',;::cccccccclllllllllllllllllllllllllllllllllllllllllllllcc:;;;;;;:clodxxxxxxxxxxxxxxxxxxdddddddddxxxxxxdl:,,,,;;;,,,'',,;;;,,,,,''',,,,,''...',,,,,,,,,,,,''''',;cll::cc:::cc::lddddxxdddddxxdddddddddddddddddddxO0
	''',:looddooooooooooooooooooooodddddddddddddddolc:;:cllcc:::cccc::;:clllllllllllllllllllc:,.......,:odddddl:,'',,,,,,'''''''''''''''..'''',,,,''''''''''''''''''''''';lodddddddddddddddddddddddddddddddol:;'..',,'',,;,,'',,,;,,,,,,;;;;;,,''',,,;;;;;,''',,,;;;;;;;;;;;;,,'',,;;;;;;;;;;;,,'..,;;;;;;:::::::ccccccllllllllllllllllllllllllllllllllllllllcc:;;;;;;:clodxxxxxxxxxxdddxxddddddddooooooooool:,'',,,,,''''',,'''',,,,,''''''''....'''''''''','''..',;clolccc::::ccclddxxxxxddddxxxddddddxddddddddddddxO0
	''',:looddooooooooooooooooooooodddddddddddddddolc:;:ccccc:::ccccc:;:clllcccllllllcccllllc:,.......,:oddddol:,'.''''''',''''''''',,''..'''''','',,,,,,,,,,,,''''''''',:oddddddddddddddddddddddddddddoolc:,'...',,,''',,,,'''''''',,;;;;;;;;;,,,,,,,,,,,,'',,,;;;;;;;;;;;;;,,',,;;;;;;;;;;;,,'..',;:;;,,,,,;;;;;;;;:::::::ccccccccccccccccccclcccccllllllllcc:;;;;;;;:cloooooddooooooolllllllllcc::::clllc:,...'''''....'''''''',''''''',,'......'''''''''''''''.';cllcc:;;;::clodxxxxxxxddxxxxxdddddddddddddddddddxO0
	''',:looddoooooooooooooooooooooooodddddddddoddolc:;::cccc::::ccc:;;:cclccccclllllcccclllc:,.......,:oddddol:,..''',,,,,,,,,,,,,,,;,,'',,,,,,,,,,,,,,,,,,,,,''''''..',:clooodddddddddddddddddddddoolc:;,'...',,;,,'''''''''''..'',,;;;;;;;;;;;;,,,,,,,'''',,,,,,,,,;;;;;;;,,',,;;;;;;;;;;;,'..',,;;;;;;;,,,;;;;,,,,,;;;;;;;;:::::;;;;::::::::::::::::::::::::;,,,,,,;:cccccccccccccc::::::ccc::;;;;:cllc:,''''',,,''..'',,,,,,,,,,''',,,''......''',,,,,,,,,,,'.';cc:;:;;;:cloddxxxxxxxxxxxxddddddddddddddddddddddxO0
	''',:looddoooooooooooooooooooodooddooodddddoooolc:;;;:::;;,,;;;;;,;;::cc::::ccclccccclllc:,.......,:loooolc;'.',,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,'''''''''''''''''...',,;:cclloooooooololooooooolc::,,''''',,,,,,,''..'',,,,'..',,;;;;;;;;;;;;;;;;,,''..',,,,,,,,,,,,,,,,,,'',,;,,,,,,,,,,''.',;;;;,,;;:;;;;;::;;;;;;;;;;;;;;;;;;,;,,,;::::;;;;;;;;,,''',;;:;;,,,,,,;;;:;;:::ccc::::::ccccc::::clllllc:;'..',,,,,,''''',,,,,,,,,,,,,,,,'''.....',,,,,,,',,,,''..,:c:::cloooddddxxxxxxxxxxxxxddddddddddddddddddddddxO0
	''',:looddoooooooooooooooooooodooddooddoooollcc:;,'''''''''...''''''',,,,,,;;::cc::cccllc:,.......';:c::c:;,''',,,,,,,,''''''''''''...'',,''''''''''''''',,'''''...',,,,,,,,,;;;;;;;;;;;;;;::;;;,,'''''',,,;,,,,,'...',,;;;,''',,;;;;;;;;;;;;;;;;,,'''',,,;,,,,,,,,,,,''''''',,,''',,,,''''',,,;;::;;;;;::::;;;:;,''.',;:::::;;;:::;;;;;;;:::::cc::;;,,,,,;;;:::::;,,,,,;:cloolcccllllllllcccclllcccc:;'..''''''''',,,,'''''',,,''',,,,,,'....',,,'',,,,,,,'..',:llooddddxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddxO0
	''',:looddooooooooooooodddooooooddooooollc:;,,,''''...'''''''''''''''',,'',,,'',,,,;:cccc;'........''''',,'..'',,''''''''''''''''''.....'''',,,,,,,,,,,,,,,,''....',,,,,,,,,,,''''',,,,,,,,',,,''....',,,,,,,,,,'....',,;;;;,,'',,;;;;;;;;;;;;;;,,,'',,,;;;;;;;;;,,,,,,''...'',,,,,,,,,,,,;:::::::::::;;;;;;;;;,,''...';;:ccc::;;;;;:::::::::::::ccc:::;;;:::;:::;;,,,,,;;::cccllooolllllllllllcc:::;;,...........'',,''''',,,'''''''''''....''''''''',,,,,''',:lddddxdddxxxxxxxxxxxxxxxxxxxddddxxdddddddddddddddxO0
	''',:looddooooodddddddddddoooooooooolc:;,,''''''''''''',,,,,,,,,,,,,,,,,,,,''''''''',,,,,'...'''''''''',,,'..''','',,,,,,,,,,,,,,,,''..'',,,,,,,,,,,,,,'''''''...',,,;,,,;;,,,,,,,,,,,,,,,,,''''''..'',,,;;,,,''''''''',,;;;;,'''',,;;;;;;,,,,,,,''',,,;;;;;;;;;;;;;;;;,'''',,,;;;;;,,;;:cclllllccccccc:::::::;;,,'...',,;;;;;;;;;;;;:::::::::;;;;;;::ccccc::;;;;;;,,,,,,;;:ccccccccccllllllllllllcc:,'.....''''''',,,,,,,,,,,,,,,,,,,,,,'..,,,,,,,,,,,,,,,,,,:codxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddxO0
	''',:looddooooodddddddddddddddooolc:;,,,'''''''''''',,,,,,,,,,',,',,,,,,,,,''''',,,,,'''....'''''',,,,,,,,'..'',,,,,,,,,,,,,,,,,,,,,''.'',,,,''','''''''''''''...,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,''''',,,,'''',,,,,,,,,,,,;;,''''',,,;;;;,,;,,,''',,,;;;;;;;;;;;;;;;;;,'',,;;;;;;;,,,;:cllllllllllllllcccccccc:::;,,,;;;;;;,;;::;;;;;;;;;;::;;,,,,,,;::::::;;;:::;,,''',;:cloolllcclllooodddooodddoc;'''''',,'''',,;;;;;;;;;;;;;;;;;;;;,'.',;;;;;;;;;;;;;;,,,:lodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddxO0
	''',:looddoooooddddddddoooddoolc:;,'''',,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,''','''''''',,,,,''.'',,,,,,,,,,,,'''''''''''....'''''''''',,,,,,,,,,''.',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''','''',,;;;;,,;,,',,,,,''',''',,,;;,,;,,,',,;;;;;;;;;;;;;;;;;;;,,'',,;;;;;,,,,;:cllllllllllllllllllllllllcccccccccccccccccc::::::::::::::::::::::::::::cccc:;,,,,;:lodddddddddddddddxxxxxxxdoc;,,,,,,,,'''',,;;;;;;;;;;;;;;;;;;;;,'.',;;;;;;;;;;;;;,'',:odxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddxO0
	''',:looddoooooddddddddooooolc;,'''',,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,''''''..''...'',,'''''''',,',,,'',,,''....''',,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''..'''',,,;;;;,,;;,,'',,'',,,,,,''',,,,,,,,,,,;;;;;;;;;;;;;;;;;;;,,'',,;;;;;,,,;:ccllllllllllllllllllllllllllllllllllllllllllllcclllllllllllllllllllllllllllllc:;;;;:coddxxxxxxxxxxxxxxxxxxxxxdl:;,,;;;;;,,'''',,,;;;;;;;;;;;;;;;;;;,'.',;;;;;;;;;;;;;,'',codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxddddddddddddxO0
	''',:looddoooodoooooooooool:;''''',,,,,,,'''''',,,,,,,,,,,,,,,,,,,,;,,'''',,,,,,,,,,,,,,,,,,,,,,,,,'''.'''...'''''',,,,,,,,,,;;;,,,,,'..'',,,,,,,,,,,,''''''..',,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'....',,,,,,,,,,,;;,,'''''',;;;;,,,'''',,''',,;;;;;;;;;;;;;;;;;;;;,'',,;;;;;;;;:ccllllcllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllc:;;;;:coddxxxxxxxxxxxxxxxxxxxxdoc;,,,;;;;;,,'',''',,;;;;;;;;;;;;;;;,,'..',;;;;;;;;;;;;;,'';lddxxxxxxxxxxxxxxxxxxxxxxxxxdddddxdddddddddddddddddxO0
	''',:looddooddddooooooool:,....',,,,,,,,,''..'',,,,,,,,,,,,,,,,,,,,,,,''',,;;,,,,,,,,,,,,,,,,,,,,,,'''',,,'..',,,,,,,,,,,,,,,,,,,,,,,''..'''',''''''''''''...',,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,'''....'',,,,,,,,,,;;,,''..'',,,;;;;;,,'''...',;;;;;;;;;;;;;;;;;;;;,,'',;;,,,;;::cllllllllllllllllccccccccclllllllcccccclllllllllllllllllllllllllllllllllllllllllc:;;;;:coddxxxxxxxxxxxxxxxxxxxxdl;,,,,;;;;;,,,,,,,'',,,,;;;;;;;;;;;,,'...',;;;;;;;;;;;;;,'';ldxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddxO0
	''',:looddooooooooooool:,'....',,,,,,,,',''..',,,,,,,,,,,,,,,,,,,,,,,'''',,;;,,,,,,,,,,,,,,,,,,,,,,''',,,,'..',,;;,,,,,,,'''''''''''''.....''''''',,,,,,''..',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,'''',,,,,,,,;,,,'''''''',,;;;;;,,'....',,,,;;;;;;;;;;;;;;;;,,''',,,,;;;:cllllllllcccccc::::;;;;;;;;;:::c:::;;;;:clllllllllllllllllllllllllllllllllllllllllc:;;;;:coddxxxxxxxxxxxxxxxxxxxdoc;,,;;;;;;;;,,,;;,,,,',,,;;,,,,,,,,,'....',;;;;;;;;;;;;,,'';ldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxdddddddddddxO0
	''',:loodddoooooooool:;'.....',,,,,,,,,,,''..',,,,,,,,,,,,,,,,,,,,,,,''',,,;;,,,,,,,,,,,,,,,,,,,,,,''',,,,'..'',,,,''''''''''''',,,,,'''...',,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,;;;;,,''',,,,,,,,,,'',,,,,,,,,,,,;,,'''''''''',,,,;,,,;;;;;;;;,,'''',,,;::ccllcccc:::;;;;;;,,,,,,,,,,,,,,,,,,,,,''',;:clllllllllllllllllllllllllllllllllllllllc:;;;;:coodxxxxxxxxxxxxxxxxxxdol:,',;;;;;;,,,;;;;;;;,,,,,,,''',''',,'..',,,,,,,,,,,;;;,''',coxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxdddddddddddxO0
	''',:loodddoooooool:;'......'',,,,,,,',,,''..',,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,''...'''''',,,,,,,,,,,,,,,,,,'..',,;;;,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,'''',,,,,,,'',,,;;;,,,,,,,,,,''',,,,,,,'''''''',,,,,,,,,,'...',;::ccccc:;,,',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,;;:::ccllllllllllllllllllllllllllllllllcc:;;;;:cloddxxxxxxxxxxxxxxxxxdl:,'',;;;;;,,,,;;;;;;;;;;;;,,,,,,,,,,,,''',;;;;,,,,'',,,'..,:ldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxddddddddddddxO0
	''',:looodooodoooc;,.......'''',,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,'''''',,,,,,;;;;,,,,,,,,,,,'''',,;,,,''...',,,;,,,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,'',,,,;;;,,,,;;,,''''',,;;;;;,,,,''.'''''''''''.....',;;,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,;;::ccccllllllllllllllllllllllllllcc:;;;;:codddxxxxxxxxxxxxxxxxxdl;'..,,;;;;,,,,;;;;;;;;;;;;;;;;;;;;;;,,'',,;;;;,,,,,,,,,,'';coddxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddxxdddddddddddddxO0
	''',;cllllllolllc;'........'',,,,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,,'''',,;,,,,,,,,,,,,,,,,,,,,,,'''',,,,,''''',,,,;,,,,,,,,,,,,,,''..'',,,''.......''',,,,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,,,''',,;,,,,,,,,;;,,'...'',,,,;;;;;,,''',,,,,,,,,'...''',,''.''',,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,;;,,,,,,,,,,,;;;;::ccccllllllllllllllllllllllc:;;;;:coddxxxxxxxxxxxxxxxxxdoc;'''',,;;;,,,,;;;;;;;;;;;;;;;;;;;;;,,''',;;;;;;;;;;;;;,,'';coooddddddddddddxxxxxxxxxxxxxxxddddddddddddddddddddddxO0
	'''',;;;;::::;;;,'.........',,,,,,,,,,,,,''''''',,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,''''',,,,,,;,,,,,,,,,''''.''.................',,,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''','''',,;;,,,,,,,,;;,,''.''''',,,,,,,,'',,;;;;,,,,,,'''',,;,,,,,,,;;;;;;;;;;,,;;;;;;;;;;;;;;;;;;;;;;,,,,;,,;;;;;;;;;,,,,;;;;::ccllllllllllllllllcccc:;,,,;;:loooooddddddddxxxxxxdoc,',,,',,,,,,,;;;;;;;;;;;;;;;;;;;;;;,,',,,;;;;;;;;;;;;;,,'';clllllooooollllodddxxxxxxxxxxxxxxddddddddxxxdddddddddxO0
	'''''''''''''''............',,''',,,,,''''''''...''',,,,,'''''''''''''''''''''',,,,,,,,,,,,,,,,,,,,,''''''',,,,'''''''',,,,,''''''''''.......................''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'...''',,,,;;;,,,,,;;;,,''',,,''''',,,''''',,,,,,,,,,'.'',,;;;;;;;;;;;;;;;;;;;;;;,,,,,;;;;;;,,,,,,,;;;;,,;;;;;;;;;;;;;;;;;,,,,,;;::cccccc:::::::;;;;;;;,,''',,;:::::ccllllllllooodol:,',,,,,'''',;;;;;;;,,,,;;;;;;;;;;;;,'',,;;;;;;;;;;;;;,,',,:cllcccccllccc:;:loddxxxxxxxxxxxxxxxxxdddxddddddddddddxO0
	'''''''.'''''''............''''''''''''''''''.......''''''''''''''''''''''.....'''''''''''''''''''''''''...'''''''''..'''''''''''''..............................,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,'.....''''',,,,,,,,,,,,,''',,;,,,,,,,,'...'''',,,,,,,''..',,;;;;;;;;;;;;;;;;;;;;;;,,,,,,;;;,,,,,,,;;,;;;,,,,;;;;;;;;;;;,;;;;;,,,,'',,;;;;,,'''''''''''',,,,',,,,,,'',,;;;;;,,,,;;::::,'',;;,,'...',,;;;;;;,,;;;;;;;;;;;;,,'',;;;;;;;;;;;;;;,'',:ccllccccclccc:;,;:cloddxxxxxxxxxxxxxxxxdddddddddddddddxO0
	''''''....'''''.............'''''''''''''''''''''''''''''''''''',,,'''''''...'''''''''''''''''''''''''''''...''''',,'''''','''...................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''',,,''''',,,,;;,,,'',,,;;;,,,;;,,'''',,,,,,,;;;;,'..'',,;;;;;;;;,,,;;;;;;;;,,,,;;;;;;;;,,,,,;;;;;;;;,,;;;;;;;;;;;;;;;;;;,,,,'''',,,,,,,,,,,,,,,,,,,;;,,;;;;;,,,,,;;;;;,,,,,,,''''.',;;,'.....',,,;;;;;;,,;;;;;;;;;,,''',;;;;;;;;;;;;;,,'';cclllcc:cccccc:;,,,;:clodxxxxxxxxxxxxxxxdddddddddddddddxO0
	'''''......''''............''''''',,,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''',,,,,,''''.........................................',,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,''',,,;,,'',,;;;;,,,,;;,,'',,,;;,;;;;;;;,'..',,,,,,,,;,,,,,;;;;;;,,,,,,,;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;,,,,,,,,,;;,,'..'''''',,,,,;;;;;;;;;;;;;,'',,,;;;;;;;;;;;;,,'',:clllccc:cclccc:;;,,,;:clodxxxxxxxxxxxxxxddddddxxdddddddxO0
	''''.......''''.............'',,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,'''',,;,,,,,,,,,,,,,,,,,,;;,,,,,,,,'''.''''''''............................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,,,,''',,,,'',,;;;;,,,,,;;,,',,;;,,,;;;;;;;,'..',,,;,,;;;;;,,;;;;;,,,,,,,,,,;;;;;,,,,,,'''''''''''''''''''''''',,,,,,,,,,,,,,,,'''''''''''''''''''''''''''''',,,,,,;;;;;,;;;;;;,,'''',,,,,,''''',,,,;;;;;;;;,,'',;;;;;;;;;;;;;;,'',;:clllccc:cclccc:;,,,,,;:cloddxxxxxxxxxxxxxdddddddxddddddxO0
	'''''.....'''''..............'',,,,,,,,,,,,,,''..'',,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''..'''.................................................',;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,;,,,,,,,,,,,''.'''',,,;;,,,;;;;,,,,,,,;,,,,,,,;;;;,'.',,;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,''''''''''''''',,'',''''''''''''''''''''''''''''''''''''''''''''''',''''''''''''''''',,,'',,,,,,,'''',,,,,,,,'''''''',,,,;;;,,,',,;;;;;;;;;;;;,,'..,:cllllccc:cclccc:;,,,,,,,;:codxxxxxxxxxxxxxddddddddddddddxO0
	''''''''''''''...............',,,,,,,,,,,,,,,''...',,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,;;,,,,,,,,,'''''''''''''''...................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'....',,,,,,;;;;;;,,',,,;;;,,,,,,,,,,,'.',;;;;;;;;;;;,;,,,,,,,,;;,,,''''''''''',,''',,,,,,,,,,,,''',,,,'''''''''''''''''',,,,'''''''',,,,,,,,,,,,'',,,,''''''',,''''',,,''..',,,,,,,,,,,,'''''''''''''''',,;;;;;,;;,,,''..',:ccllllccc:cclccc:;,,,,,,,,;:ldxxxxxxxxxxxddddddddddddddddxO0
	''''''''''''''................',,,,,,,,,,,,,,,'...',,,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,'''''''''''''''''........................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,...'',,,,,,,;;;;;,'',,;;;;;;,,,,,,,,'..',;;;;;;;;;;,,,,,,,,,,,,,''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''.''',,,,,,,,,,,,,,,,'''''''....''''''''''',''...',::ccllllcc::cccccc:;,,,,,,,,;:ldxxxxxxxxxxdddddddddddddddddxO0
	'''''''''''''''..''............',,,,,,,,,,,,,,''.'',,,,,,,,,,,,,,,,,,,,,,,''''''''''''''''''''''''',,''''''............................................................',,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.',,,,,,,,,,,,,,,'',,;;,,,,,,,,,,,,'..',;;;;;;;;;;,,,,,,,,;;,''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,'''''''''''''''''''''''',:c::cllcccc:::ccccc:;,,,,,,,,;:ldxxxxkkkkkxdolloodddddddddddxO0
	'''''''''''''''''''''...........',,,,,,,,,,,,,''''''',,,,,,,,,,,,,,,,,,,,'''''......''''''''',,,,,,''...................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,''''',,,,,,,,,,,,;;;;,'.',;;;;;;;;,,,,,;,,;;,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',;:ccc:cclcccc:::ccccc:;,,,,,,,,;coxkkkkkkkkkxoc::cloddddddxxddxO0
	''''...''''''''''''''''..........''',,,,,,,,,,''''''''',,,,,,,,,,,'''''''''''..''...''''''''''''''.......................................................................',,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,,,'...'',,,,,;;;;;;;;;;,,'',;;;;,,,,,,,,,;;;,,,'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',;ccccc:ccccccc::ccccc::;,,,,,,,,:coxkkkkkkkkkxdlcc:cclodddddxddxO0
	'''''''''''''''''''''''''..........''',,',,,,,,','''''''''''''''''''''''''','',,,,'''''''''...............................................................................,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,;,,'...',,,,,,;;;;;;;;;;,,',,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',:cclcc::cclccccc:cclcc:;,,,,,,,,,:ldxkkkkkkkkkkxxxdoc:cclodddxxxkO0
	'''''''''''''''''''''''''''''........''''',,,,''''''''''.......''''''''''',,,,,,,,'''.....................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,;;,''',,,;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,,''...'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.',;cccccc::cclccccc:cclcc:;,,,,,,,,,:loxkkkkkkkkkkkkkxoc:;::coddxxkk0K
	,,'''''''''''''''''''''''''''''''........''''''''''''''''''....'',,,,,,,,,,,,,,,'''.......................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,'',,;;;;;;,,,,,,,;;;;;;;;;,,,,,,,,;;;;,''''',,,,,,,,,,,,,,,,,,,,,,,,,''..''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.';:cclccc:::cclccccc:cclcc:;,,,,,,,,,:loxkkkkkkkkkkkkkxoc:;,;:ldddxxk0K
	,,,,'''''''''''''''''''''''''''''''..........''''''',,,,,,,''.''',,,,,,,',,,''.............................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',;;;;;,,,,,,,,,,,,,;;;;;;;,,,,;;;;;,,'''',,,,,,,,,,,,,,,,,,,,,,'''...'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'...,:clllcc::::cccccccc:cclcc:;,,,,,,,,,:ldxkkkkkkkkkkkkkxoc;,,;:loddxxk0K
	,,,,'''''''''''''''''''''''''''''''''''........''',,,,,,;;,,,''''''''''''''''.....'.........................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,'',;;;;;;,,,,,,,,,,,,,,;;;;;;,;;;;;;,''.'',,,,,,,,,,,,,,,,,,,,,,''...'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''..',;:clllcc::::cccccccc:cclcc:;,,,,,,,,,:ldxkkkkkkkkkkkkkxoc;,,;clodxxkk0K
	,,,,''''''''''''''''''''''''''''''''''''''''...'''''''',,,,,,,'''....''',,,;;;;;;,,,'',,,'..................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,;,,'',;;;;;;,,,,,,,,,,,,,;;;;;;;;;;;;;;,'..',,,,,,,,,,,,,,,,,,,,,,'''.'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''...',;:cclcccc::::cccccccc:cclcc:;,,,,,,,,,;coxkkkkkkkkkkkkkxoc;,;:codxkkkk0K
	,,,,''''''''''''''''''''''''''''''''''''''''''',;,,',,,,,,,,,,'''''',,;:::::ccccccc::::c:;'.................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,,,,'',;;;;,,,,,,,,,,,,,,,,;;;;;;;;;;;;,,'.',,,,,,,,,,,,,,,,,,,,,'..''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'....';:::ccccccc:::ccccccccc:cclcc:;,,,,,,,,,;:coddxxkkkkkkkkkxoc;,;:ldxkkkkk0K
	,,,,'''''''''''''''''''''''''''''''''''''''''',;::;;:::;;,,,,,;;;;;:ccccc:::clllllccccccc;'.................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',;;;;,,,,,,,,,,,,,,,,,,;;;;;;;;;,,'''',,,,,,,,,,,,'''',,,''..'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''....,::::ccccccc::cccllccccc:ccccc:;,,,,,,,,,,,,;:cloxxkkkkkkkxoc:;;:ldxkkkkk0K
	,,,,'''''''''''''''''''''''''''''''''''',,,,,;:cc:;:cllcc:::cccccc:cllllcc:::cllllcccccc;,'.................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',;;;,,,,,,,,,,,,,,,,,,,,;;;;;;;;,''''',,,,,,,,,,,''..''''..'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''...';c:::ccccccc::ccllcccccc:ccccc:;,,,,,,,,,,,,,,;;:codxkkkkkxdolcclodkkkkkk0K
	,,,,''''''''''''''''''''''''''''''''''',;::cccccc:;:cllccc:cccllc:::clllcc:;:cllllccccc:,..................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'.'',,,,,,,,,,,''.......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'.',:cc:::ccccccc::ccllcccccc:ccccc:;,,,,,,,,,,,,,,,,,;:ldxkkkkkxxxxxxxxkkkkkk0K
	,,,,''''''''''''''''''''''''''''''''''',:cclllllc:;:cccc::::ccllc:;:clllcc:;:cllllccccc;'..................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,;,,,'..',,,,,,,,,,,''.......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',:cccc::ccccccc::cccccccccc:ccccc:;,,,,,,,,,,,,,,,,,,:coxkkkkkkkkkkkkkkkkkkk0K
	,,,,''''''''''''''''''''''''''''''''''',;cccclllc:;::ccc:;::ccllc:;:cllccc::clllllccc::,'.................................................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,;,,'...',,,,,,,,,,'''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''''';:cccc:::ccccccc::cccccccccc:ccccc:;,,,,,,,,,,,,,,,,,,;coxkkkkkkkkkkkkkkkkkkk0K
	,,,,''''''''''''''''''''''''''''''''''',;:ccclllc:;::ccc:;::ccllc:;:cccccc::clllllcc::,'..................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,,,,,,,,,,,,,,;;,,,,;,,'..'',,,,,,,,,'''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''........'''..',;ccccccc::ccccccc::cccccccccc:ccccc:;,,,,,,,,,,,,,,,,,,:coxkkkkkkkkkkkkkkkkkkk0K
	,,,,''''''''''''''''''''''''''''''''''',;:ccllllc:;::ccc:;;::cllc:;::cccc::;:cllllcc:;'..................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,;;;;;;;;;;;;;;;,,,,;,,'''',,,,,,,,,''.....''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''......',,,,,,;;,,;:cccccccc::ccccccc::cccccccccc:ccccc:;,,,,,,,,,,,,,,,,,,:coxkkkkkkkkkkkkkkkkkkk0K
	,,,,''''''''''''''''''''''''''''''''''',;:ccccccc:;::ccc:;;;:cccc:;::cccc::;:cllllc:;'..................................................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,;;,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;,,,,,,,,,;;;;;;;;;;;;;;;;;,,;,,'',,,,,,,,,,,'.....'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''...'',,,,,,,,,;:::ccccc:;:ccllccccc::ccccccc::ccccccccc:::cccc:;,,,,,,,,,,,,,,,,,,:coxkkkkkkkkkkkkkkkkkkk0K
	,,,,'''''''''''''''''''''''''''''''''''';:ccccccc:;::ccc:;;;:cccc:;::ccccc:;:cclllc:,'..................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,;;;,,,,,,;;;;,,,,,,;;,,,,,,,,;;;,,;;;;;;;;;;;;;;;;;;;;,,''',,,,,,,,,,''....'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''''',,,,,;:ccccccc::ccccccllc:;:ccccccccc::ccccccc::::ccccccc:::cccc:;,,,,,,,,,,,,,,,,,,:coxkkkkkkkkkkkkkkkkkkk0K
	,,,,''''''''''''''''''''...''''''''''''';:ccccccc:;::ccc:;;;:cccc:;::ccccc:;:cccllc:,..................................................................................',,,,,,,,,,,,,,,,,,,,,'''''''''........',,,;;;;;;;;;;;;;;;;,,,,,,,,;;;;;,;;;;;;;;;;;;;;;;;;;;;;;;;,,'''',,,,,,,,,''....',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''''''',;;:::c:::ccccccccc::ccccccccc:;:ccccccccc::cccccccc:::cccccc:;;:cccc:;,,,,,,,,,,,,,,,,,,:coxkkkkkkkkkkkkkkkkkkk0K
	,,,,'''''''''''''''''''''''''''''''''''';:ccccccc:;::cccc::;:ccc::;::cccc::;:cclllc;'.................................................................................',,,,,,,,,,,,,,,,,,,,,,''''',,,''''''.....'',,,;,,,,,,,,;;;;,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;,''',,,,,,,,,,''...'',,,,,''''''''''''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''',,,,,;;::ccccccc::::cccccccc:::cccccccc:;:ccccccccc::ccccccc:::cccccc::;;:clcc:;;;;,,,,,,,,,,,,,,,;coxkkkkkkkkkkkkkkkkkkk0K
	,,,,,''''''''''''''''''''''''''''''''''';:cccccc::;::cccc::;:cccc:;::cccc::;:cllllc;'................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'......',,,'......',,,,,,,,,,'..........',,;;;;;;;;;;;;;;;;;,,''',,,,,,,,,''....''''''''''',,,,,,,,,,,,,,,,,,,,'''''''''''''''''''''''',,,,,''''''''''''''...'''''''',,;;;;:::::;;::ccccccccc:;::cccccccc:::cccccccc:;:ccccccccc::ccccccc::ccccccc::;;:ccccccccc::::;,,,,,,,,,,:coxkkkkkkkkkkkkkkkkkkk0K
	,,,,,,''''''''''''''''''...''...'...'''',:cccccc::;::ccc::;;:cccc:;::cccc::;:cllllc;'................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,'''''''''',,,,,''........      ..'',,''................'',,,,;;;;;;;;;;;,,''.',,,,,,,,''......',,;;;;::::::cccccccccc:::::::::;;;;;;,,,'''''''''''''''''''''''''''''''''''',,;::::::cc::ccccc:;::ccccccccc:;:ccccccccc::ccccccccc:;:cccccccc:::cccccccc:ccccccc::;;:ccccccccccccc:;,,,,,,,,,:coxkkkkkkkkkkkkkkkkkkk0K
	,,,,,,''''''''''.''''''''..'....'...'''',;:ccccc::;::ccc:;;;:cllc:;::ccccc:;:cllllc,................................................................................',,,,,,,,,,,,,,,,,,,,''''..............',,,,'..             ...............''''''....'',,;;;;;;;;;;,'...',,,,,,,''......',::ccccccllllllllllllccllllllllllccccccc::::::::::;;;;;;;;;;:::::::::;,,,,,,;;:cllccccccc:ccccc:;:cccccccccc:::cccccccccc:ccccccccc:;:ccccccc::::ccccccc::cccccccc:;;:ccccccccccccc:;,,,,,,,,,:coxkkkkkkkkkkkkkkkkkkk0K
	,,,,,'''''''''''..''''''''''''.'''..'''',;:ccccc::;::ccc:;;;:cccc:;::ccccc:;:cllllc,...............................................................................',,,,,,,,,,,,,,,,'''''''.'''''''...........''''..               .....'',,,,,,,,,,,,'''''',,;;;;;;;;,,'.'',,,,,,,''...'''',:ccclllcccllccclllcccccccccccccccllllllllllllllllllllcccccllllllllllcc:;;;;;;;:cccccccccc:ccccc:::cccccccccc::::ccccccccc:ccccccccc:;:ccccccc::::cccccccccccccccc::;;:ccccccccccccc:;,,,,,,,,,:coxkkkkkkkkkkkkkkkkkkk0K
	,,,,'''''''''''''''''''''''''''''''''''',;:ccccc::;::ccc:;;;::ccc:;::cccc::;:cllllc;'.............................................................................',,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,''...........             ...'',,,,,''''....',,,,,,,,,,;;;,,,,,,'..',,,,,,,,'.',;;;'',:cccccccccccccccccccccccccccccccccllllllllllllllllllllllllllllllllllcc:;;;;;;;:cccccccccc:ccccc:::ccccccccccc:::cccccccc::ccccccccc:;:ccccccc::::ccccccc::cccccccc::::ccccccccccccc:;,,,,,,,,,:coxkkkkkkkkkkkkkkkkkkk0K
	,,,''''''''''''''''''''''''''''''''''''',;:cccccc:;::ccc:;;;::ccc:;::cccc::;:cllllc;'............................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,''''......              ..'''''''............'',,,,,,,,,,,,;,,'''',,,,,,,,''',:::;,',:cccccccccccccccccccccccccccclllclllllllllllllllllllllllllllllllllllcc:;;;;;;::cccccccccc:ccccc:::ccccccccccc::ccccccccc:::cccccccc:;:ccccccc::::ccccccc:::ccccccc:::cccccccccccccc:;,,,,,,,,,:coxkkkkkkkkkkkkkkkkkkk0K
	,,,,'''''''''''''''''''''''''''''''''''',;:cccccc:;::cc::;;;::ccc:;::cccc::;:cllllc;...........................................................................',,;,,,,,,,,,,,,,,,,,,,,,,,,'''..............''...               .......................',,;;;,,,,,,,,'''',,,,,,,,'..';:cc:,',:cccccccccccccccccccccccccclllllllllllllllllllllllllllllllllllllllllcc:;;;;;;;:ccccccccc::ccccc:::ccccccccccc:::cccccccc::ccccccccc:;:ccccccc::::ccccccc::cccccccc:::cccccccccccccc:;,,,,,,,,,:coxkkkkkkkkkkkkkkkkkkk0K
	,,,,,''''''''''''''''''''''''''''''''''',;:cccccc:;::cc::;;;:cclc:;:ccccc::;:cllllc,..........................................................................',,,,,,,,,,,,,,,,,,,,,,,''''.......................                ......''',,,,,,,,,''..'',,,;;;,,,,,,'.'',,,,,,,'..,;:ccc:;;;:cccccccccccccccccccccccccclllllllllllllllllllllllllllllllllllllllllcc:;;;;;;;:cccccccc:::ccccc:;:ccccccccccc::ccccccccc::ccccccccc:;:ccccccc::::ccccccc::ccccccccc::cccccccccccccc:;,,,,,,,,,:coxkkkkkkkkkkkkkkkkkkk0K
	,,,,,,''''''''''''''''''...''''''''''''',;:ccccc::;::cc::;;:ccllc:;:ccccc::;:cllllc,.........................................................................',,,,,,,,,,,,,,,,,,,,,'''.......''.................              ....''''''''''',,,;;;,,,,'',,,,;;,,;,,'''',,,,,,'''',;cccccccccccccccccccccccccccccccccccclllllllllllllllllllllllllllllllllllllllllcc:;;;;;;;;ccccccc::::ccccc:::ccccccccccc:cccccccccc:::cccccccc:;:ccccccc::::cccccc::::ccccccc:::cccccccccccccc;,,,,,,,,,,:coxkkkkkkkkkkkkkkkkkkk0K
	,,,,,,'''''''...'''''''''''''''''''''''',;:ccccc::;::cc::;::ccllc:;:ccccc::;:ccccc:,........................................................................',,,,,,,,,,,,,,,,,,,,'''''''',,,,,,,,,,,,,,,,,,,,'...            ..''''.''.........'',,;;;;,,,,,,,,,,,,'..',,,,,''..',:cclcccccllccccccccccccccccccccccccccccllllllllllllllllllllllllllllllllllllllllc::;;;;;;;;ccccccc::::ccccc:::ccccccccccc:cccccccccc:::cccccccc:;:ccccccc::::cccccc::::cccccccc::cccccccccccccc;;,,,,,,,,,:coxkkkkkkkkkkkkkkkkkkk0K
	,,,,,,''''''''.'''''''''''''''''''''''.',;:ccccc::;::cc::;;::cccc:;::cccc::;:ccc:;'.......................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;,,,,,,,,,,,,,,..          .....................',,;;;;;,,,,,,,,,'..',,,,,''.',;:cccccccccccccccccccccccccccccccccccccccllllllllllllllllllllllllllllllllllllllllc::;;;;;;;;cccccccc:::cclcc:;:ccccccccccc::cccccccc:::ccccccccc:;:ccccccc::::cccccc::::ccccccccc:cccccccccccccc;,,,,,,,,,,:coxkkkkkkkkkkkkkkkkkkk0K
	,,,,,,''''''''''''''''''''''''''''''''.',;::cccc::;::cc::;;;::cc::;:ccccc::;::;,'........................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,'..       .......''''',,,,,,'''...',,;;;;,,,,,,;,'..'',,,,'''',:ccccccccccccccccccccccccccccccccccccccccllllllllllllllllllllllllllllllllllllllllllc:;;;;;;;;cccccccc:::cclcc:;:ccccccccccc::ccccccc::::ccccccccc:;:ccccccc::::cccccc::::ccccccccc:cccccccccccccc;,,,,,,,,,,:coxkkkkkkkkkkkkkkkkkkk0K
	,,,,,,''''''''''.''''''''''''''''''''''',;::cccc::;::cc::;;;::cc::;:cllcc:;,'''.........................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'....      ...'',,,,,;;;;;;;;;;;,,,'.'',,;;;;;,,,,,'...',,,,'..';:cccccccccccccccccccccccccccccccccccccccccllllllllllllllllllllllllllllllllllllllllllc:;;;;;;;:ccccccc::::cclcc:;:cccccccccc:;:ccccccc::::ccccccccc:;:ccccccc::::cccccc::::cccccccc::cccccccccccccc;,,,,,,,,,,:coxkkkkkkkkkkkkkkkkkkk0K
	,,,,,,''''........''''''''''''.''''''..'',;:ccccc:;:ccc::;;;::cc::;::cc::,'...........................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..          .',,;;;,,;;,,,,,,,,,,,,,,,''',;;;;;;;;,'...',,,'...';:cccccccccccclllllllcccccccccccccccccccccccllllllllllllllllllllllllllllllllllllllllllc:;;;;;;;:ccccccc:::cccccc:::cccccccccc:::ccccccc::::ccccccccc:;:ccccccc::::cccccc::::ccccccc:::cccccccccccccc;,,,,,,,,,;:ldxkkkkkkkkkkkkkkkkkkk0K
	,,,,,,''............'''''''''...'''....'',;:ccccc:;::c::;;,;;:::;;;,,,,''............................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''...            .',;;;;,,,,,,,,,,,,,,,,,;,,,,,,,,;;;,,,''''',''...,;cclcccccccccllllllllllllllllllllllllllcccccccccccccllllcclllllllllllllllllllllllllllllc:;;;;;;;:cllcccc::cccllcc:::ccccccccccc::ccccccc::::ccccccccc:;:ccccccc::::cccccc::::cccccc::::cccccccccccccc;,,,,,,,,,;cdxkkkkkkkkxxxxkkkkkkkk0K
	,,,,,,''...............''''''''''''....'',;:c::::;,,,;,,''''''''''''''''...........................................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..                ..,;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,'..'''''....';:cllccccclllllllllccccccccllllcccccccccccccccccccccccccccclllllllllllllllllllllllllllllc:;;;;;;;:cllcccc::cccllcc:::ccccccccccc:cccccccc::::ccccccccc:::ccccccc::::cccccc::::cccccc::::cccccccccccccc;,,,,,,,,,,:lodxxxxxxxdoodxkkkkkkk00
	,,,,,,''''...............''''''''''''..'',,;;,''''..............'''''''''.........................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,...                   .,;;;,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,'...''''...'',;:cllccccllllllllllllllcccccllllllccccccclllllccccclllllllllllllllllllllllllllllllllllllc:;;;;;;;:cllcccc::cccclcc:::ccccccccccc:cccccccc::::cccccccc::::ccccccc::::cccccc::::ccccccc:::cccccccccccccc;,,,,,,,,,,;:clllllllllcccloxxxxkk0K
	,,,,'''''''.'''''''''....''''''.....................'''''.......'',,,,,,''......................................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'...                    ..,;;,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,''..''.....'',,;:clllcccclllllllllllllllllllllllllllllllllllllcccllllllllclllllllllllllllllllllllllllllc:;;;;;;;:cllcccc::ccccccc:::ccccccccccc:cccccccc::::cccccccc::::ccccccc::::cccccc::::ccccccc:::cccccccccccccc;,,,,,,,,,,;::ccccccccc:;;;:ccldxk0K
	,,,,,''''''''''''''''''.'''''...................''''''''''.....'',,',,,,,'....................................................................'',,,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,..                      .',,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,'''.........'''',;:ccccccccccccccccccclllllcccccccccccccccllllllllllllllllcccllllllllllllllllllllllllllllc:;;;;;;;;ccccccc::cccccc:::cccccccccccc::ccccccc::::cccccccc:;;:ccccccc::::cccccc::::ccccccc:::cccccccccccccc;,,,,,,,,,,;:::ccccccc:;;;;;;;:cldO0
	,,,,,,,''''''''''''''''''''..............'..'''''''''''''.....''',,,,,,,,'...................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'.                      ..',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.........''''''',;;;;;;;;;;;;;;;;;;;;:::::::::::::::::::::::::::::::cccc::::::::ccccccccccccccccccccccccc:;,,,;;;;:ccccc:::ccccc::::cccccccccccc::ccccccc::::cccccccc:;;:ccccccc::::cccccc::::ccccccc:::cccccccccccccc;,,,,,,,,,,;:ccccccccc:;;;;;;;;;cok0
	,,,,,,,,,,,,,,,'''''''................''''''''''''''''''.....',,,,,,,,,,,'..................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..                     ..',,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..........'''''''''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,;;;;;;;,;:cccc::::cccccccccccc::ccccccc::::cccccccc::::ccccccc::::cccccc::::cccccc::::cccccccccccccc;,'',,,,,,,;:ccccccccc:;;;;;;;;;cok0
	,,,,,,,,,,,,,,,'''.............'''''''''''''''''''''''''.....',,,,,,,,,,,'................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..                    ..',,;,,,,,,,,,,,,,,,,,,,;;;,,,'........'','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,;:cc::::ccccccccccc:::ccccccc::::cccccccc:::cccccccc::::cccccc::::cccccc::::cccccccccccccc;,''',,'',,;:cccccccccc:;;::::::coxO
	,,,,,,,,,,,,,,,''..........'''''''''''''''''''''''''''''.....',,,,,,,,,,,'..............................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..                   ...',;;,,,,,,,,,,,,,,,,,,,,,,,'.......'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',;;:::::ccccccccccc:;:ccccccc::::cccccccc:::cccccccc::::cccccc::::cccccc:::ccccccccccccccc;,,'''''',,;:cccccccccc::::::::::lxO
	,,,,,,,,,,,,'''.........''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,''..........................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,..                 ...',,,,,,,,,,,,,,,,,,,,,,,,''......'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,;;::ccccccccccc:::ccccccc::::cccccccc:::cccccccc::::cccccc::::cccccc::ccccccccccccccc:;,,,,,,,,,,;:ccccccccccc:::::::::lxO
	,,,,,,,,'''...........''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,''......................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..             ...',,;;,,,,,,,,,,,,,,,,''''''......'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,;;::ccccccccc:::ccccccc::::cccccccc:::cccccccc::::cccccc::::cccccc::ccccccccccccccc:;,,,,,,,,,,;:cccccccccccc::::ccc:lxO
	,,,,''''.......'''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,''....................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'...       .....',,,;,,,,,,,,,,,,,,,,,,,,,,'......''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,,;;:ccccccc:::ccccccc::::cccccccc:::cccccccc:::ccccccc::::cccccc:::ccccccccccccc::;,,,,,,,',,;:cccccccccccc:::::c::lxO
	'''.........''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,,'.................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'.......'',,,,;,,,,,,,,,,,,,,,,,;;,,;,,'.....''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,;;:ccccc::ccccccc::::cccccccc::ccccccccc::cccccccc::::cccccc::::cccccccccccc::;,,,,,,'',,;:ccccccccc:::::::::::lxO
	.........'''''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,,,'.............................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,,,,,,,,,,,,,;;;,,,''..'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',;;:::::cccccccc::::cccccccc:cccccccccc::cccccccc::::cccccc::cccccccccccccc::,,,,,,,'',,;:ccc:::::::::::::::::lxO
	.....'''''''''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,;,,,,,''.........................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,''...'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,;:::cccccccc::::cccccccc:cccccccccc::::cccccc::::cccccc::cccccccccccccc:;,,,,,,,''',;:cc::::::::::::::::::lxO
	.'''''''''''''''''''''''''''''''''''''''''''''''''''''''.....'',,,,,,,,,,;,,,,,,,'.....................................',,,,,,,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''...'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,;::ccccccc::::cccccccc:cccccccccc::::cccccc::::cccccc::cccccccccccccc:;,,,,,,,''',;:c:::::::::::::::::::lxO
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,'................................''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,;;::cccc::::ccccccc:::cccccccc:;;::cccccc::::cccccc::cccccccccccccc:;,,,,,,,'',,;::::::::::::::::::::clxO
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....',,,,,,,,,,,,,,,,,,,,''...........................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,,;::cc::::ccccccc:;::ccccccc:;;:ccccccc::::cccccc::cccccccccccccc:;,'',,,,'',,;::::::::::::::::::::clxO
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,,,''.....................'''',,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,'',;;;;,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,;::::::ccccccc:;::ccccccc:;:cccccccc::::cccccc::cccccccccccccc:;,''',,,',,;::::::::::::::::::::::lxO
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,,,,''...............'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',;;:c:;,''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,;::cccccccc:;:cccccccc:;:cccccccc::::cccccc::cccccccccccccc:;,''''''',,;::::::::::::::::::::::lxO
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,,,,,,'''..''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,,,,;::::ccc:;,''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',;:cccccccc:::cccccccc:;:cccccccc::::cccccc::cccccccccccccc:;,''''''',,;::::::::::::::::::::::lxO
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,'',,;;::cccccccc:;,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',;:ccccccc:;:cccccccc:;:cccccccc::::cccccc::cccccccccccccc:;,''''''',,;::::::::::::::::::::::lxO
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,''',;::cccccccc::::;,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',;:ccccccc:;:cccccccc:;:cccccccc::::cccccc::cccccccccccccc:;,''''''',,;:cc:::::::::::::::::::lxO
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,',,,,;;:ccccccccc:::c::;,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',;:ccccccc:;:cccccccc:;:cccccccc:;::cccccc::cccccccccccccc:;,''''''',,;:cc:::::::::::::::::::lxO
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,;:ccccccccc:cccc:ccc:;,,''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',;:ccccccc:;:cccccccc:;:ccccccc::;::cccccc::cccccccccccccc:;,''''''',,;::::::::::::::::::::::lxO
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''',,;;::::cccccc:ccc:ccc::::::;,,''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',;:ccccccc:;:cccccccc:;:cccccccc:;::ccccccc:cccccccccccccc:;,''''''',,;::::::::::::::::::::::lxO
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''.''',,;::::::ccccc:::::::::::::::::::;,,''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',;:ccccccc:;:cccccccc:;:cccccccc:;:ccccccc::cccccccccccccc:;,''''''',,;::::::::::::::::::::::lxO
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''',,,;;:::::::::cccc:::::::::::::::::::::;,,''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',;:ccccccc:;:cccccccc:;:cccccccc:;::cccccc:;::cccccccccccc:;,''''''',,;::::::::::::::::::::::lxO
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''.'''',,,;;;::::::c::::::::::::::::::::::::::::::::;,,''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',;:ccccccc:;:cccccccc:;:ccccccc::;::cccccc:;::cccccccccccc;;,''''''',,;::::::::::::::::::::::lxO
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''',,;;;;:::::::c:::cccc::::::::cc:::::::::::::::::::;,,''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',;:ccccccc:;:cccccccc:;:ccccccc::;::cccccc:;:cccccccccccc:;,,''''''',,;::::::::::::::::::::::lxO
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......'',,,,,,,,,,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''',,,,;;:::::::::::::::::ccccc::::::cc::::::::::::::::::::;,,''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',;:ccccccc:;:cccccccc:;:ccccccc::;::cccccc:::ccccccccccc:;;,'''''''',,;::::::::::::::::::::::lxO
	''''''''''....'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''.......''',,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''',,;;;:::::::::::::c::::::::::ccc:::::::::::::::::::::::::::::;,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',;:ccccccc:;:cccccccc:;:ccccccc::;::cccccc:::ccccccccccc:;,''''''''',;;::::::::::::cc::::::::lxO
	''''...''......'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''........''',,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''...'',;::::::::::::::::ccccc::::::::::::::::::::::::::::::::::::::::;,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',;:ccccccc:;:cccccccc:;:ccccccc::;::cccccc:::ccccccccccc:;,''''''''',;::::::::cc:::cc::::::::lxO
	`,
	`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	ddddddddddddddddddooodddddddooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxddddddddddddddddddddddolllllllc:;,;:clllllllllllllllllllllllllllcc:;;:cldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddxxdddolc::;;;,,;::ccclool:;;clodddddddddddddddddddddddddxO0
	ddddddddddddddddddddddddddddddddooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxddddddddddddddddddddddoollllllcc::::clllllllllllllllllllllllllllcc:;;:cldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddoooooodddooc:;;,,,'''',,;:cooolc;;cldddddddddddxxddddddddddddddxO0
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	ddoooooooooooodddddddddddddddddddddddddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxdddoollllllc:;,,;:clllllllllllllllllllllllllllcc:;;:ldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:;,,,,'',,,,,,''.'',,,,,,,;,,',,,,,'',,;:cloodddddddddddddddddddddddxO0
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	ooooooooooooooooooooooodddddddddoooooooooooooddddddooooddddddoooodddddddolc::::::cccccccccccllloooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxddddddddddddddddollllllllc:;;;:clllllllllllllllllllllllllllc:;;;cldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddoc;,,,''',,,,,,,,,,'.....'''...'',,,,,,,,;;,,'',,,,,:coddddddddddddddddddxO0
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	ooooooooooooooodddooodddddddddddoooooooooooooddddddoooddddddddddddddddddoolccccccccccccclllcc::;;;;::::ccccllllodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxddxxdddxxxxdddollllllllllllllllllllllllllccllllllllllllllcc:;;:lddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:;,,,,''',,,,,,,,,,,'...',;;;,,'''''..''''''',,;;;;,,,;lodddddddddddddddddxO0
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	ooooooooooooooooodooodddddddddddoooooooddoooddddddddoddddddddddddddddddoolc::;;,,,,,;;;:;;;;;:cclllc::::ccclc::;;;:clllloooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxddddddxxdddolllllllllllccllllllllllcccc::ccc:::::::::::;,,,;cloddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxddoc;''''',,''',,;;;;;;,''..',,;;;;,,,,,,,,,;;,'',,;;;;,,;;:lodxxdddddddddddddddxO0
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	ooooooooooooooodddooodddddddddoooooooooooooooooodddodddddddddddddddddddddddooooooooooooooooollcc:;;;;;::ccccccccc:::::;;;;;:cclooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxddddddddxxddddollllllllc:;;;:cc::;;,,,,,,,,,,,,,,,,,,,,'''''',,,,''',;:clodddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdl:,,,,,,,''''''',,,,,''..'',,,,,,',,,,,,,,;;,,,,,;;;;;;;cldddddddddddddddddddddxO0
	ooooooooooooooodddooooodddddddddooooooooooooooodddddddddddddddddddddddddddddddddddddoddddddddoooolllc:::clllccccllllc::;;;;;,,;:clooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxdddddddddxxddddoolllllllc:;,,;;;'....''',,,,,,,,,,,,,''''',,,,;;,,,'''',,;:clodddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxdoc,',,,,,,,,,,,,,,,,,,''',,,,,'''''',,'',,,,,,,,,;;;;;,;:lodddddddddddddddddddddxO0
	ooooooooooooooodddooooodddddddddoooooooooooooooddddddddddddddddoodddddddddddddddddddoodddddddddddddooolllollcc::ccllllc:::cc:;,',;::cloodddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxddddddddddddddddddddddddoolllllllc;,''',,''''''..........''''''',,,,,;;;;;;;,,''',,,;;:cloddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddol:''',,,,,,'',;;;;;;;,,,,;;,,,,,,,,,,'''',,,,,,,;;;;;,,;coddxdddddddddddddddddddxO0
	ooooooooooooooodddooooodddddddddoooooooooooooooddddoodddddddddddddddddddddddddddddddddddddddddddddddddddoooollccc::::ccc:::ccc:;,,,,,;:clooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoolllllc:;,'''',,,,,'''''''......'',,,,,,;;;;;;;;;;;;,,,',,,,,,;;:loddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddoc;,,,,,,,,,'',;;;;;,,,,;;;,,,,,,;;;,,'''''''',,;;;;;;,;:lddxxdddddddddddddddddddxO0
	ooooooooooooooodddooooodddddddddddddddddddooooooddddoooddddddddddddddddddddddddddddddddddddddddddddddddddddddoooll:;;;:cccccccccc:;,,,,;;:clooddddddddddddddddddddddddddddddddddddddddddddddddddxxxdddxddddddddddxdddddddddoolllc:;,,',,,,,,,,'''',,,,,'''''''',;;;;;;;;;;;;;;;;;,,''',,;,,,,,;cloddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdlc;,,,,,,,,'''',,,,,,,,,;;;,,,,;;;;;,,',,,,,',,;;;;;;;:clddxxxxddddddddddddddddddxO0
	ooooooooooooooooooooooodddddddddddddddddddddooooddddooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddolcccclllcccclllc::::;,,;:cclloodddddddddddddddddddddddddddddddddddddddddddddxxxxddxdddddddddddxddddddddoollc:;'...'''''''',',,,,,;;;;;,,,,''',,;;,,,,,,,,;;;;;;,'..',;;;,,'',;clddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdlc;'',,,,''''','''''',,,,,,,,,;;;;,,,,,,;,,,,,,;;;;;:loddxxxxxxxxddddddddddddddddxO0
	ooooooooooooooooooooooodddddddddddddddddoddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooolllccclllollccc::::::;::clooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooooollcc;,''..........',,,;;;,,,,,;,,,,,''',,,,,;;,,,;;;;,,,,'..'',;;;;,,'',;coddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc;,,,,,,,',,,,,,''',,,,''',,,;;;,,,,,,;,,,,,;;;,;:codxxxxxxxxxxxxdddddddddddddddxO0
	ooooooooooodddddddddddoooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoolcccccccllc::cccc:;;;;:ccloooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddollllllc:;,'',,,'.......'',,,;;;,,,,,;;;;;,,''',,;;;;;;;,,,,'''''...',,;;;;,,'',:codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:;,,,,,,,,,;;,,,,,,,,,''',,,,,,',,,;;;,,,,,;;,,;coddxxxxxxxxxxdddddddddddddddddxO0
	odddddooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoddddddddddddddddddddddddddddddddddddddddddoolcc:;;;::::::cc:;,;::::;:clooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddollllll:,'',,;,,,''',,,''.'',,,;;,,,,;;;;;;,,''',,,,,,,,,,''',,,''..'',,;;;;,,'.';coddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddo:,,,,,,,,,;;;;,,,,;;,,,,,,,,,'..',,,,,,,,,;;,,,;codxxxxxxxxddddddddddddddddddddxO0
	odddddooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoollc::cllcc::;;,;;:::;,,;cloodddddddddddddddddddddddddddddddddddddddddddddddddddddddoollllc:;,',,;,,'''',,,,,,,'''',,,,,,,;;;;;;;,'....'''''',,,,,;,,,''''''',,;;,,'..';clddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxddoc;,,,,''',,;;,,,,;;;,,,,;;;,,''',,,'''',,;;,,;:codxxxxxxxxxddddddddddddddddddddxO0
	odddddooodddddooooooooodddddddddddddddddddoooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooollccccc:;;;:::::;;,,',;clodddddddddddddddddddddddddddddddddddddddddddddddddddddoolllc:,',,,;,,''''''.'',,,,,,''',,,,,;;;;;,,'.....',,,,,,;;;;;,,,''',,,''',,,,''''',:lodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxdoc;,,,''..',,,,,,;;,,,,,;;;;,,',,;;,'',,;;;;;;:loddxxxxxxxxdddddddddddddddddddddxO0
	ooooooooddddddooooooooooddddddddddddddddddodddddddddoddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddolllcc:;,;cllcc:;;,,,,,;:cooddddddddddddddddddddddddddddddddddddddddddddddddddoollc:;'',,;,,'''','.....',,;,,,'''''',,,,,'''''''',,;;;;;;;;;;,,,''',;,,,,,'''.',,,,,;lddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdc;,',,,''',,,'',,,,,,,;;;;,,,,,;;,,,,,;;;;:clodddxxxxxxxxxxddddddddddddddddddddxO0
	oooooooooddddooooooooooddddddddddddddddoooodddddddddddddodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddool:;,,;clllc:;;;:;;,,,;cloodddddddddddddddddddddddddddddddddddddddddddddddoollc:,'',,,'''',,,'.    ...',,,,'...''''',,,,,,,'',,,;;;;;;;;;,,,''',;;;,,,,'..',,,,',:lodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdc,''',,,,,,,'''''''',,;;,,,,,,;,,,,,,,,,;:loddxxxxxxxxxxxddddddddddddddddddddddxO0
	oooooooooooooooooooooooddddddddoddddoooooooooooodddddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddollc:;;;clol:;;:cc:;''';cloddddddddddddddddddddddddddddddddddddddddddddddoolc:,,,,,,'''',,,,..       ..',,,'''',,,,,;;;;;,,,',,;;;;;;;;;,,,''',;;;;;;,,..',,,,'',:ldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxoc,'',,,,'',,,,''....'',,,,,,,,,,'',,,,,;;codxxxxxxxxxxxxxdddddddddxddddddddddddxO0
	oooooooooooooooooooooooooddddoooodddoooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddolc:::cccc:::cllc;'',;:cloodddddddddddddddddddddddddddddddddddddddddddoll:,'',,'''''',,,'..         ...''''',,,;;;;;;;;,,'',,;;;;;;;;;,,'',,;;;;;,,'...',,,,,',coxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc,'',,,,,'''',,,'.....'''',,,,'''',,,,;:codxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddxO0
	oooooooooooooooooooooooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoolcc::::ccccc::;;;;;;:clloodddddddddddddddddddddddddddddddddddddddolc:;'..'''..''',,''..             .....'',;;;;,,;;,'',;;;;;;;;;;,,',,,;;;;;,''..'',,;,,'':oddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdc,''',,,,,,,,,,,'.........''''''''''',:lodxxxxxxxxxxxxxxxxxxxxxddddddddddddddddxO0
	ooooooooooooooooooooooooooooooooooooooooooooooodddooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoolc::clll:;;;:llc:::::cloodddddddddddddddddddddddddddddddddddddolc;,''',,,''',,,,,,'.                 ....',,;;;;;,'',,;;;;;;;;,,'',,,,;;;,,'',,''',,,'.';lddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc,'',,,,,,,;;;,,'...........',,,,,'',:lodxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddxO0
	ooooooooooooooooooooooooooooooooooooooooooooooodddoooooddddddooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddolccccc:;,;:lollcc::;;:coddddddddddddddddddddddddddddddddddddol:,''',,;,,'',,,,;,'.       ...          ...',,,;;,'''',,;;;;;;,,'',;;;;,,,,,,,,,,''''''';codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdo:'.',,,,,,,,,,,,'''''...'...',,,,,',;lddxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddxO0
	ooooooooooooooooooooooooooooooooooooooooooooooodddddoooddddddodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoollc:;;,:clolc:;;,'',;clloooddddddddddddddddddddddddddddddol:,'',,;,,''',,;;;;,..     .,cl:'.         ...'',,,,''',,;;;;;;,,',,;;;;,,'',,;,,,'..''',;codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddo:''',,,,,,,,,,'''''.....'.....'''',;codxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddxO0
	ooooooooooooooooooooooooooooooooooooooooooooooodddddddddddddddddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddolc::;::::;,''''',,,,;;::clodddddddddddddddddddollllllllc:,'',;;,,''',,;,,;,'.     .;okOxo:'.          ..''''',,,;;;;,'''',,;;,,,'',,;;;;,''',''';codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:,'',,,,,,,,,,,,,''...'........'.';codxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddxO0
	ooooooooooooooooooooooooooooooooooooooodddddddddddddddddddddddoddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddol:;,,''''''''',,''','',:oddddddddddddddddddolcccclllc:;'',,;;,,''',,,,,;,'..     .ck0K0Oxl:'...       ...'',,,;;,,'..',,;;;,,'',,,;;,''''''...':ldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc;,''''''',,;;;;;,,'''','........';codxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddxO0
	ooooooooooooooooooooooooodddooooooooooodddddddddoooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoollcc:;;,'''''',,,'''...','..;cooddddddddddddddddollllcccc:;,'',,;;,,''',,,,,,,''..     'cx0KKK0Oxdoc,.       ...'',,,,''..',;;;,,'',,,,'''......  ..:ldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddl:;,''''''',,,,,,,,,''''''........,codxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddxO0
	ooddddoooddddoooooooooooodddddoooooooooooooooooooooooooooooooooddddddddddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoolc:;;,'.''',''...',,,'....'''.',:clooddddddddddddddollllcccc;,'',,;;,,'''',',,,,,,''..     .:x00KKKKK0Oko;.       ..'',,,,,''',,,,''''''.....        .'codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddlc;;,,'''',,,,,,,,,,,''.'..........':ldxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddxO0
	ddddoooooooddoooooooooooooooooooooooooodddddddddoooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddolc:;,''''''..'','....''''...'''''',:ccccclooddddddddddoollllccc:,..',,,,,'..'',,,;,,;;;;,..     .;ok0KKKKKK00kl,.     ..',,,;;,,,''.........             .'codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddl:;;,,,'.'',,,,,,,,,,,,,'...........',:odxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddxO0
	oodooooooooooooooooooooddoooooooooooooooooooooooooooodddooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoolc;,'.....''''...'....'.....''',,',;:cccc::::cloodddddddoollllccc:,..'''',,,'''',,,,;;;;;;,'..      .:dkO0KKKKKKOo,.    ..',,,;;;,'...            .....    .,lddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddl:,,,,,'',,,,,,,,,,,,,,,,,'....''..,;,';codxxxxxxxxxxxxxxxxxddxxddddxdddddddddddddddxO0
	ooooooooooooooooooooooooooooooooooooooooooooooooooooodddoooooooddoooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooolc:,,'''......'''''..........''...''',;cccc:::;;;;:cloodddddolcccccc:,...',,,,,,,,'',,,;;;;;;;,'..      ..;ldkkO00K0kl,.   ..',;;;,,'..       ...'',:codo:'.  .:oxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:,'',,'',,,,;;;,,,,,,,'',,,,'......;:;'';:oddddxxxxxxxxxxxxxxdxxddddddddddddddddddddxO0
	oooooooooooodddoooooooooooooooooooooooooooooooodddooooooooooooooddooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooolc:;,'..'''''..................''''.',,,,,;:c:::cllc:;;::clodddollllccc:,'.',,;;;;;;,,,',,;;;;;;;,,'...       .',;coxkkdl'    ..',;;,,'.       .':ldxkkOO0Od:.. .,cdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddl:,'''''',,;;;;;;;;;;,,,',,;;,,''...',,,'',;clodxdxxxxxxxxxxxxxxxxddddddddddddddddddddxO0
	oooooooooodddoooooooooooooooooooooooooooooooooodddooooooooooooooodooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddooddddoolc:;,'''''''''''................'','''',;cll:;,,,;;:ccllc::;;::cloolllllllc:;''',,,,,;;;;,,'',,,;;,,,'''''...         ...''...    ..',,,,'.     ..;lxk00KKKK0ko;.  .'codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:;,,,'..',,;;;;;;;;;,,',,,;;;;,,''',,;,,;;;;;:lodddxxxxxxxxxxxxxxdddddddddddddddddddddxO0
	dddooooooooooooooodddddoooooooooooooooooooooooooooooodddoooooooooddddddddddddddddddddddddddddddddddddddddddddddddoodddddddddddooddooc:;,''....''''''.........'''........''.';cldddolc:,,;::cccccc:;:ccccccccclllc:;'.',;,,,,,;;,,''',,,,'''',,,,,,'...                  ...',,'..    .:ok00KKKK0Oxo:'.  ..:oddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddl:;,;;,''.'',;;;;;;;;;,,',,;;;;;;,''';:::::::;;;:loddxxxxxxxxxxxxxxdddddddddddddddddddddxO0
	ddddoooooooooooooodddoooooooooooooooooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddodddddddddddddooc:;,''''''................''''...''''...';codddddddolccccccccclccccc:::::::::cc:,'.',;,,,,,,;,,,'''''',,,,;;;;;;,,,'....       .........''''..    .,oO000OOkxoc,..   ..;lddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:;,,;;,,,,,,,,,,,,,,,,,''',,,,,;,,''',;:c:;,;;;,;:codddxxxxxxxxxxxxdddddddddddddddddddddxO0
	ddddddoooooooooddooooooooooooooooooooooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddol:;'''',,,''''......'.............''''''';:lodddddddddddooollccccllcc:::::;;,,;::;,..',,,,,,,,,,,'....',,;;;;;;;;;;;,,,''.....''''''''.'',,,''..    ..;cllc::;'.      ..;codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc:;,;;,,,,;;;;;,,,,,,,,,''',,,,,,,,,,''',;;,''',,,',;coddxxxxxxxxxxxxdddxdddddddddddddddddxO0
	ddddddoooooooooddoodddoooooooooooooooooooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddool:,'''''''''''......''.....'......'','..,;coodddddddddddddddoolc:;;;:c::::;;;,,,,,'....'',,,,,,,,'''''',,,,,,;;;;;;;;,,,''''',,,;;;;,,''',;;;;,,......  ....         ..',clddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:,,,;;,,',,;;;;;;;;;;;,,,,,,,;;;;;;,,,;;,,',,,,,;;,,,:codxxxxxxxxxxxddddddddddddddddddddddxO0
	dddddoooooooodddddddooooooooooddooooooooooooooodddooooooooodddodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddol:;''''''''''''...''''.....',,'...''',,,',:loddddddddddddddddddddol:;,,;::::;;;;,,,,'.....',,,,,,''',,,,,,,'',,,,;;;;,,,'''',,,;;;;;;,,'',,,;;;;,,''','.....      ....',,,;ldddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc:;;,;,,,',,,;;;;;;;;;;;,,,,,;;;;;;;;;;;;::;;:::;;:::;;:coddddxxxxxxxxddddddddddddddddddddddxO0
	ddddddoooodoodddodddooooooooooooooooooooooooooodddodddooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooc;,''''''''''''....''.......''.....','''',:coddddddddddddddddddddddoolc:;::cc:;;::::;''.''''',,,,'',,,;;;;,,,,'',,,,;,,'''',,;;;;;;;;,,,'',;;;;;;,,'',,,,,,''....'''',,,,,,:ldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:,,;;;,,,,,;;;;;;;;;;,;;,,',;;;;;;;;;;;;;:cllc:;,,,,,;::cclodxxxxxxxdddddddxxxddddddddddddddxO0
	dooooooooodooooooooooooooooooooooooooooooooooooddoodddoooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddol:;'.''''''''......',,,''...'''.....',,,'',:loddddddddddddddddddddddddddoollccc:;;:::::;,'''''''',,,,,;;;;;;;;;;,,'',,''''',,,,;;;;;;;,,'',,,;;;;;;,,'',,;;;;;,,''',,;;;;,,,;codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:;,,;;;,,,,;;;;;;;;;;;,;;,'',;;;;;;;;;;;;;:cooc;,,,',,;;;;;:ldxxxxxxxxxxxxxxxxxxdddddddddddddxO0
	oolllloooodooooooooooooooooooooooooooooooooooooddooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddooool:,'..'''''''.......''''''...'''.....''''',;ldddddddddddddddddddddddddddddddoolc:;,,,,;;;,'.'''..',,;;,;;;;;;;;;;;;,,''..'',,;;;;;;;;;;,,'',,;;;;;;;,,'',,;;;;;;,,'',,;;;;,,;:coxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc:;,;;;;,,,;;;;;;;;;;;;;;;;,'',,;;;;;;;;;,,;:codoc;,,,;;;;,,;:lddxxxxxxxxxxxxxxxxxddddxdxxxxxddxO0
	lc;,,;clooooodddddddddoodddddooooooooooooooooooooodddoooooooooooodddddddddddddddddddddddddddddddddodddddddddddddddddddool:;'''',,'''''.....''''''....''''....''''.',:ldddddddddddddddddddddddddddddddddoolc:;,'''''..''...',,;;;;;;;;;;;;;;,,,'''''',,,,,,;;;;;;,,',,;;;;;;;;,,'',,;;;;;;,,''',,;;,,,;cldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:;,,;;;,,,,;;;;;;;;;;;;;;;;,'',;;;;;;;;;;,,;;coddoc;;:::;;,;:clodxxxxxxxxxxxxxxdxxddddxddxdddddxO0
	c;,...',;:clooodddddddddddddddooooooooooooooooooooododdddddddodddddddddddddddddddddddddddddddddddddoddddddddddddddddddol:,''''',''''''....'''''''...''''''...''''.';coddddddddddddoooooooddddddddddddddddollc::;;,'''''''''',,,;;;;;;;;;;;,,'',,,,,,,,,,,,,,,;,,,'',,;;;;;;;;,,'',;;;;;;;,,,'',,;;,,,;codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddl:;,,;;;;,'',;;;;;;;;;;;;;;,,,',,;;;;;;;;;;;,,;:ldxdl:;:c:;;;:ccclodxxxxxxxxxxxxxxxxdddddddddddddxO0
	:;'......'',;:clooodooddddddddddoooooooooodddooooddddddddddddoddddddddddddddddddddddddddoooddddddddodddddddddddddddddooc,'''''''''''''''',,,,,'''..'''''''..'''''.':loddddddollcc:::;::::ccclooddddddddddollllllc:;'..',,,,''',,,,;;;;;;,,,,,,,;;;;;,,,,,''',,,''',,;;;;;;;;,,,'',;;;;;;;;,,''',,,''';lddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol;'',,;;,,,,,,;;;;;;;;;;;;;;,,,,,,;;;;;;;;;;;,,;:ldxdl::cc:,,,;cc::ldxxxxxxxxxxxxxxxxxddddddddddddxO0
	c;,...........';:cloooddddddddddooooooodoodddooddddddoodddddddodddddddddddddddddddddddddooooodddddoooddddddddddddddddol:,'',,,,,,,,,,,,,,,,,,,,,'''',,,'''.''''''',codddddolc;,,'''''','''',;clodddddddddolllllllc;'..',,;;,,,',,,,;;;;,,'',,,;;;;;;;;;;,,,,'''.'',,,,,,,,,,,,''',,;;;;,,,,,'''',''',:odxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc;,'',,,,'',,;;;;;;;;;;;;;;;;,,,,,;;;;;;;;;;;;,,;:ldxdoc:::;,,,;::;;ldddxxxxxxxxxxxxxxxxdddddddddddxO0
	:;'..............';:lodddooddddddddoooodooddooooddddodddddddddddddddddddddddddddddddddddddooodddoooodddddddddddddddddoc;''',,,,,'',,,,,,,,,,,,,,''',,,,,''..'''''';codddolc;,''''''''''''''',;codddddddddolllllllc;'..',,;;,,,,,,,,,;,,,'',,;;;;;;;;;;;;;;;,''...',,,,,,,,,''''''',,,,,,,,,'...'''',;coxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddol:,'''''''..',;;;;;;;;;;;;;;;;,'',;;;;;;;;;;;;;,,;:odxdoc:;;;;;;,,,,;coddxxxxxxxxxxxxxxxxdddddddddddxO0
	c;'................;codddddddddddddooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddoooddddddddddddddddoc;,''''''''''''''',,,,,,,,,,,,,,,,,''',,,'''',codool:,''''''''''''''''',:lodddddddddollcclc:;,'''',,;;;,;,,,'',,,,'',,;;;;;;;;;;;;;;;;,,''',,,,,,,,,,,''....'',,,,,,,''...'''';cldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddooooolooooolc:,'''''''....',,,,,,,;;;;;;;;,,'',;;;;;;;;;;;;,,,;:ldxdolc::::;,,,;;:coddxxxxxxxxxxxxxxxddddddddddddxO0
	c:,................,:loooodooddddddoooooooooooooooooooodddddddddodddddddddddddddddddddddddddddddddoodddddddddddddddol:'.''''''','''''''''''',,,,,,,,,,,,,,,,,,,''',coolc:,'''''''''','''''',:loddddddddddollllcc;,',,'',,;;;;;;,,,''''',,,;;;;;;,,,,;;;;,,,,,,,,,;;;;;;;;;;,,''',,,,,,,,,,,,''',,',:lddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddooollcccc::cccc:::::clloc;,'''''''......''''',,,,;;;;;;;,'',;;;;;;;;;;;;,,,;:ldxdoc::::;,,,;;;:lodddxxxxxxxxxxxdddddddddddddddxO0
	c:;,,'''''''''',,''',,;cloooooddoooooooooooooooooooooooodddddddoodddddddddddddddddddddddddddddddddooddddddddddddddolc;''',''''',,,,,,,,,,,,''''''',,,,,,,,,;,,,'..';:::;,''''''''''''''',;:clodddddddddddolllc:;,',,,''',,,;;;;,,,'..'',,;;;;;,,,,;;;;;;,,''',,;;;;;;;;;;;;,,'',;;;;;;;;;;;,,''',,;codddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddoolllllcccclc::;:::ccccccccccccclll:,'',,,,,'...''........''''',,,,'.',,;;;;;;;;;;,,,,,:ldddl:;;::;,,',,;:ldddddxxdddddddddddddddddddddddxO0
	cccc:::::::::::cc:;,...',;:cooddddoddoooddddddddddddooddooooooodddddddddddddddddddddddddddddddddddddddddddddddddddoc;,''','''''''''',,,,,,,,,,,,,,,'''''''',''''...'''''''''''''''''',;:cloodddddddddddddooll:,''',,,,,'',,;;;,,,''''''',,,;;;;;;;;;;;;;,,''',;;;;;;;;;;;;;,,'',;;;;;;;;;;;,'..'',;:cccllloooodddddddddddddddddddddddddddddddddddddddddddddddoooooolllcc:::cccc:;;::::;;:::::ccllooooolllc:,'.',,,,,,''''''............''''....'',,,;,,,,,,,,,;:loolc::ccc;,''',;codddddxddddddddddddddddddddddddxO0
	llllllllllllllllll:;......';clodddodddddddddddddddddoddddoooooddooooddddoddddddddddddddddddddddddddddddddddddddddol:,'''''''''''''''''',,,,,,,,;;;,,,,''''''''.........'''''',''''',;clodddddddddddddddddol:;,'''',,;;,,'',,;;,,,'',,,,,,,,,,,,;;;;;;;,,,''',,;;;;;;;;;;;;,,,',,;;;;;;;;;;;,'..',;:cccccc:::clllllcccccccclllllllllllllloooollllloooooooooooooooolllcccccllllccccclllllcccclllllllcccccc:;,''''','''..'',,,'''''''................'''',,,,,''',;:cc::::cc:;,,'';coddxxxdddddxxdddddddddddddddddddxO0
	lllllllllllllllllc:;'......';lodddddddddddddddddooooodddoooooooooooodddoodddddddddddddddddddddddddddddddddddddddooc;''',,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,''...'''''''''''''''';clodddddddddddddddddol:;'..',,'',,;,,'',,,;,,,,,,;;;;;,,''',,,;;;;;,''',,,;;;;;;;;;;;;,,'',,,;;;;;;;;;;,,'..,;:llllllcc::ccllcccccc::;;;;;;;::ccc:::::cc:::::clooooddddoooooollccllloooolccclooooollcllllllllc:;;::::;'..',,,,,'...',,;,,,,,,,''''''''............''',''''..';:::::cc:;,,,,;coddxxxxddddxxxddddddxddddddddddddxO0
	llllllllllcccclllc:;'......';lodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddolc;'',,,,,,,,,,;;;,,;;,,,,''''''''''''',,,,,,''''','''''''''.'';:lodddddddddddddddoolc:,'...',,,''',,,,'''''''',,;;;;;;;;;,,,,,,,,,,,,'',,,;;;;;;;;;;;;;,,',,;;;;;;;;;;;,,'..';:clllllllllllllllccllllccccccc::cccccc:ccccccccclooooooooollllllllccllllllcc:ccclcccccccclllcllllccclll:;''',,,;;,,'.',,,;;,,,,,,'''',,,,'...'',,'''''''''''...';ccccc:::;,,;:lodxxxxxxddxxxxxdddddddddddddddddddxO0
	lccccllllccccclllcc;'......';loddddddddddddddddddooooolllllllllllllllllllooooddddddddddddddddddddddddddddddddddolc;'''',,,,',,,,,,,,,,,,,,,,,,,,'''''''''''''''''''''''''''''',:loddddddddddddddoolc:;,'...',,;,,'''''''''''..'',,;;;;;;;;;;;;,,,,,,,'''',,,,,,,,,;;;;;;;,,',,;;;;;;;;;;;,'''',:clllllllllloollolccclllllloollllcccccllloooooolllllccclllcc:cclloollc:cclloollccc::cclllllllloodddddddoc;,,,;;;;;;,'',,;;;;;;;;;;,,,,,,,,'...',,,''',,,'',,'...':cc:;;;;;,;:loddxxxxxxxxxxxddddddddddddddddddddddxO0
	cc:ccllllccccclllcc;'......';lodddddoooddddooooollc:::;;;;;;;;;;;;;;;;;;;::cllloooooddddddddddddddooooooooooollc:,'...''''''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,'''''''''...,;:cloooooooooooooolc::,,''''',,,,,,,''..'',,,,'..',,;;;;;;;;;;;;;;;;,,''..',,,,,,,,,,,,,,,,,,'',,;,,,,,,,,,,'''',;::clooollllllcccllllllllcc::::ccclloooooooooooollllcccclllllccccccllccclooooodddoooddddddddddddddxxxxddl:,,,;;;;;;,,,,,;;;;;;;;;;;;;;;;;;,'..'',,,,,,''''''''...,:lc:;;;::cloddxxxxxxxxxxxxxddddddddddddddddddddddxO0
	cc::cllllccccclllcc;'......';loddddddddoooollcc:;,,'''..'''.'',,,,,,,,''''',,;;::ccllloooooooollllcc:::::::;;;,,'...''',,,,,,,,,,,,,,','''''',,,,,,,',,,,,,,,,,,,''''''.....',,,;;;;:::::::::;;;,,'''''',,,,,,,,,'...',,;;;,''',,;;;;;;;;;;;;;;;;,,'''',,,;,,,,,,,,,,,''''''',,,''',,,,'''',,;;;:clooddddddooooooooolllllllllllllllloooooolllllccllllloooooooooooooooddddddddddxxxxxxxxxxxxxxxxxxxxxdol;'',;;;;,,,,,,;;;;;;;;,,,,,;;;;;;,'..',,;;;;,,,,,,,,'..',:lccclooodddxxxxxxxxxxxxxxxxdddddddddddddddddddddxO0
	c:::cclllccccccllc:;'......';loddddoooollc:;,,''''''..'''''''''',',,,,'',,,,',,,,,,'',;:::;;;;;;;,,''''',,,,,'''....'''',,,'''',,,,,,,,,,'''''''''''''',,,,,,,,,''''''..''',,,'''',,,,,,,,,',,,''....',,,,,,,,,,'....',,;;;;,,'',,;;;;;;;;;;;;;;,,,'',,,;;;;;;;;;,,,,,,''...'',,,,,,,,,,,,;:::::::clddxxxddddddddddddddddddddddddddddddddddddddooddddddddddddddddxxdxxxxxxxxxxxxddddxxxxxxxxxxxxxxxxdl:,'',,;;;,,',,;;;;;;;;;;;,;;;;;;;;,'..,,;;;;;;;;;;;;,,'',:loddddddddxxxxxxxxxxxxxxxxxxddddxxdddddddddddddddxO0
	cc:;:cccccccccclcc:;.......';lodddoolc:;,,''''''''''''',,,,,,,,'',,,,,,,,,,,,,,,''''.'''''..''',''''''',,,,''''....',,'',,,,'''''''''',,,,,,,,,,,,,,,'''','''''''..''...',,,,,,,,,,,,,,,,,,,''''''..'',,,;;,,,''''''''',,;;;;,'''',,;;;;;;,,,,,,,''',,,;;;;;;;;;;;;;;;;,'''',,,;;;;;,,;;:cclc:::::coddxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxxxxxxxxxxxdoc,'''',,;;,,,,,;;;;;;;;;;;;;;;;;;;;,'.',;;;;;;;;;;;;;;,,,:codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddxO0
	cc:::ccclcccccclcc:;'......';looolc:;,'''''''''''''',,,,,,,,,,''',,,,,,,,,,,,,''',,,,,'''''.'''''',,,,,,,'''''....',,,,,,,,,,'''''',,'''',,,,,,,,,,,,,,,,,,,,,,''......',,,,,,,,,,,,,,,,,,,,''',,,''''',,,,'''',,,,,,,,,,,,;;,''''',,,;;;;,,;,,,''',,,;;;;;;;;;;;;;;;;;,'',,;;;;;;;,,,;:clllc:;;;:codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxxddl;'',,,,,,,'',,,;;;;;;;;;;;;;;;;;;;;,'.',;;;;;;;;;;;;;;,,,:lodxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxddddddddddddxO0
	c:::ccllllcccccllcc;'......';clc:;,'''',,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,''''''''''''..'''''..'',,,,,,,,,,,,,,,,,,,,,,'''''',,,,,;;;;;;;,,,,''.....',,,,,,,,,,,,,,,,,,,,,,,,,,,,''''','''',,;;;;,,;,,',,,,,''',''',,,;;,,;,,,',,;;;;;;;;;;;;;;;;;;;,,'',,;;;;;,,,,;:cllllc:;;;:loddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc;,,,;;,,,'''',,;;;;;;;;;;;;;;;;;;;;,'.',;;;;;;;;;;;;;,'',:oddxxxxxxxxxxxxxxxxxxxxxddddoooooooddoooooodddoooodk0
	lc::clllllccccllllc;'......',;;,'.'',,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,,;,,,'''',,,,,,,,,,,,,,,,,,,'''....'',,''...',,,'''',,,,,,,,,,,,,,,,,'',,,,'',,,,,,,,,,'''''..'',,,,,,;,,,,,,,,,,,,,,,,,,,,,,''..'''',,,;;;;,,;;,,'',,'',,,,,,''',,,,,,,,,,,;;;;;;;;;;;;;;;;;;;,,'',,;;;;;,,,;:cclllllc::;;:loddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdl:;,,;;;;;,,'''',,,;;;;;;;;;;;;;;;;;;,'.',;;;;;;;;;;;;;,'',codxxxxxxxxxxxxxxxxxxxxxddoolllllllllllllllllllllccoxO
	lcccclllllccccclllc;'............',,,,,,,,''.'',,,,,,,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,''..'',,,,''..'',,,,',,,,,,,,,,'''''',,,,,,,,,,'',,,,,,,,,,,''..',,,,,,,,;,,,,,,,,,,,,,,,,,,,,,,'....',,,,,,,,,,,;;,,'''''',;;;;,,,'''',,''',,;;;;;;;;;;;;;;;;;;;;,'',,;;;;;;;;:ccllllcllc:::::cldddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc;,,,;;;;;,,'',''',,;;;;;;;;;;;;;;;,,'..',;;;;;;;;;;;;;,'';lddxxxxxxxxxxxxxxxxxxxxddoolllccccllllllclllllllccclxO
	lcccclllllccccclllc;'...........',,,,,,,,''..'',,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,'..',,,,,,,''',,;;,,,,,,,,;;;;,,,''''''''',,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,;,,,,,,,'''....'',,,,,,,,,,;;,,''..'',,,;;;;;,,'''...',;;;;;;;;;;;;;;;;;;;;,,'',;;,,,;;::clllllllllc:::::cloodddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdl;,,,,;;;;;,,,,,,,'',,,,;;;;;;;;;;;,,'...',;;;;;;;;;;;;;,'';ldxxxxxxxxxxxxxxxxxxddddollclllllllllllllllccllllcclxO
	lcccclllllccccclllc:'..........',,,,,,,,,''..',,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,''',,,,,,,,,,,;;;;;;;;,,,,''''''''',,,,,'',,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,'''',,,,,,,,;,,,'''''''',,;;;;;,,'....',,,,;;;;;;;;;;;;;;;;,,''',,,,,;;:cclllllllcccc::;;;:::cccccccllooooddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc;,,;;;;;;;;,,,;;,,,,',,,;;,,,,,,,,,'....',;;;;;;;;;;;;,,'';ldxxxxxxxxxxxxxxxxxddooolllccllllccllllllllcclllccclxO
	lcccccllllccccclllc;'.........',,,,,,',,,''..'',,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,''','',,,,,,,,,,,,,,;;,,,,,'',,,,,,,,,,,',,,''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,;;;;,,''',,,,,,,,,,'',,,,,,,,,,,,;,,'''''''''',,,,;,,,;;;;;;;;,,'''',,,;;::cllcccc:::;;;;;,,,,,,,,,,,,,;;;;::::ccclloodddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:,',;;;;;;,,,;;;;;;;,,,,,,,''',''',,'..',,,,,,,,,,,;;;,''',coxxxxxxxxxxxxxxxxdddollllccccccclllllllllllccclllcclxO
	lcccccllllcccclllc:,..........',,,,,,',,,'''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,,,,,,,,,,''''',,,,,,''''''',,;;;,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,'''',,,,,,,'',,,;;;,,,,,,,,,,''',,,,,,,'''''''',,,,,,,,,,'...'',;:ccccc:;,,',,,,,,,,;,,,,,,,,,,,,,,,,,;;;;;;;;;:ccllooddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdl:,'',;;;;;,,,,;;;;;;;;;;;;,,,,,,,,,,,,''',;;;;,,,,'',,,'..,:ldxxxxxxxxxxxxxxxxddollllcccccccllcccclllllcccccllcclxO
	cc::ccllccccccllc:,'.........'',,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,'''''',,,,,,,,,,,'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,'',,,,;;;,,,,;;,,''''',,;;;;;,,,,''.'''''''''''......',;;;,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,;;;;:::clloddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdl;'.'',;;;;,,,,;;;;;;;;;;;;;;;;;;;;;;,,'',,;;;;,,,,,,,,,,'';codxxxxxxxxxxxxxxxxddollcc:;;;:cclcccccclllccccclllcclxO
	cc::cclllcccccccc;'..........'',,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,'''''',,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,''''''....'',;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,,,''',,;,,,,,,,,;;,,'...'',,,,;;;;;,,''',,,,,,,,''....'',,,'''',,,,,;;;;;;,,;;;;;;;;;;;;;;;;;;;;;;,,,,;,,,,,,,,,,;;::cloooddddddddddoooodddddddddddddddddddddddddddddddddddddddoc;'''',,;;;,,,,;;;;;;;;;;;;;;;;;;;;;,,''',;;;;;;;;;;;;;;,'';lddxxxxxxxxxxxxxxxxddollcc:;,,;:cllcccccclllccccccccclxO
	cc::cclllccccccc:,...........'',,,,,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,''''''',,,,,,,,,,''''',,,,,,,,,,'''''''''.............'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''','''',,;;,,,,,,,,;;,,''.''''',,,,,,,,'',,;;;;,,,,,,''',,,;,,,,,,;;;;;;;;;;;,,;;;;;;;;;;;;;;;;;;;;;;,,,,;;;,,;;;;;;;;;;;;;;:clllllooollllllllllllllllllllllllllllllllloooooooolllc:,',,'',,,,,,,;;;;;;;;;;;;;;;;;;;;;;,,',,,;;;;;;;;;;;;;,,,,:odxxddxxxxxxxxxxxxxddollcc:,,,;:clllcccllcccccccccccclxO
	ccccccllccccccc:;'...........'',',,,,,'''''''''....',,,,,''''''''''''''''''''...''',,,,,,,,,,,,,,,,,''''''''''''',,,,,''''......''''''''''....................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'...''',,,,;;;,,,,,;;;,,''',,,''''',,,''''',,,,,,,,,,''.',,;;;;;;;;;;;;;;;;;;;;;;,,,,,;;;;;;,,,,,,,;;;;;,,;;;;;;;;;;;;;;;;,,,,,;;;;::ccc::::::::;;;;;;;;;;;;;;;;;;;;;;;;::::::::ccc:;'',,,,,'''',;;;;;;;,,,,;;;;;;;;;;;;,'',,;;;;;;;;;;;;;,,,,;ldxxxddxxxxxxxxxxxxxddollcc:,,,;:clllllllccccccccccccclxO
	cc::cccclcccccc:;'............'''''''''''''''.......''''''''''''''''''''''.........'''''''''''''''''''''''......'''''''''''......'''''''.........................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,'.....''''',,,,,,,,,,,,,''',,;,,,,,,,,'...'''',,,,,,,''..'',;;;;;;;;;;;;;;;;;;;;;;,,,,,,;;;,,,,,,,;;;;;;,,,;;;;;;;;;;;;;;;,;;,,,,'''',,;;,,'''''''''',,,,,,,,,,,,,''''''''''''',,;;;;,'',;;,,'...',,;;;;;;,,;;;;;;;;;;;;,,'',;;;;;;;;;;;;;;,'';codxxxdddxxxxxxxxxxxxddollcc:,,,;:cllllllllcccccccccccclxO
	cc:::cccllccccc:;'.............''''''''''''''''''''''''''''''''',,,'''''''''...''''''''''''''''''''''''''''''''..'',,''''',,''''''.................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''',,,''''',,,,;;,,,'',,,;;;,,,;;,,'''',,,,,,,;;;;,'..'',,;;;,;;;;,,,;;;;;;;;,,,,;;;;;;;;,,,,,;;;;;;;;,,;;;;;;;;;;;;;;;;;;;,,,'''.'',,,,,,,,,,,,,,,,,;;,,;;;;;,,,,,,,,,,,,,,,''''''.',;;,'.....',,,;;;;;;,,;;;;;;;;;,,''',;;;;;;;;;;;;;,,,,:lddddddddxxxxxxxxxxxxddollcc:;,,;:cllllllllcccccccccccclxO
	lc:::cccllccccc:;'.............''',,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,'''''''.......................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,''',,,;,,'',,;;;;,,,,;;,,'',,,;;,;;;;;;;,'..',,,,,,,,;,,,,,;;;;;;;,,,,,,;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;,,,,,,,,;;,,'..'''''',,,,,;;;;;;;;;;;;;,'',,,;;;;;;;;;;;;,,,,;coddddddddxxxxxxddxxxdddollcc:;;;;:clllllcclcccccccccccclxO
	lcc:cccclccccccc:,.............'',,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,;,,,,,,,,,,,,'''''''''............................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,,,,''',,,,'',,;;;;,,,,,;;,,',,;;,,,;;;;;;;,'..',,,;,,;;;;,,,;;;;,,,,,,,,,,,;;;;;,,,,,,'''''''''''''''''''''''',,,,,,,,,,,,,,,'''''''''''''''''''''''''''''''',,,,,;;;;;;;;;;;;,,'''',,,,,,''''',,,,;;;;;;;;,,'',;;;;;;;;;;;;;,,'';:clllllllloddddddddddxdddollcccc:::ccllllllllcccccccccccclxO
	lcccccccllccccccc;'............'',,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''....................................................',;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,;,,,,,,,,,,,''.'''',,,;;,,,;;;;,,,,,,,;,,,,,,,;;;;,'.',,;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,''''''''''''''',,'',''''''''''''''''''''''''''''''''''''''''''''''',''''''''''''''''',,,'',,,,,,,'''',,,,,,,,'''''''',,,,;;;,,,',,;;;;;;;;;;;;,,'',:ccllllcccllllllloodddxxddoolccccccccclcllllcccccccccccccclxO
	lcc::ccclccccccllc;,'...........'',,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,;;;,,,,,,,,'''''''''''''.....................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'....',,,,,,;;;;;;,,',,,;;;,,,,,,,,,,,'.',;;;;;;;;;;;,;,,,,,,,,;;,,,''''''''''',,''',,,,,,,,,,,,''',,,,'''''''''''''''''',,,,'''''''',,,,,,,,,,,,'',,,,''''''',,''''',,,''..',,,,,,,,,,,,'''''''''''''''',,;;;;;,;;;,,''.',:cllllllccccllcccclloodddddollccllcccccllllllcccccccccccccclxO
	lcc::ccclcccccllllc:,'...........',,,,,,,,',,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,'''''''''''''''..........................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,...'',,,,,,,;;;;;,'',,;;;;;;,,,,,,,,'..',;;;;;;;;;;,,,,,,,,,,,,,''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''.''',,,,,,,,,,,,,,,,''''''''...''''''''''',''...';ccclllccccccclcccccclllooooollccllcccccccccllcccccccccccccclxO
	ccc:cccclccccclllllc;,...........',,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,''''.''''''''''''',,''''''''.............................................................',,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.',,,,,,,,,,,,,,,'',,;;,,,,,,,,,,,,'..',;;;;;;;;;;,,,,,,,,;;,''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,'''''''''''''''''''''''';:ccccllccccccccccccccccccclllllccccccccccccccccccccccccccccclxO
	lcc:cccclccccccllllc:,............'',,,,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,''''''''...'''''''''',,,,,''...................................................................',,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,''''',,,,,,,,,,,,;;;;,'.',;;;;;;;;,,,,,;,,;;,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',;:clccccccccccccccccccccc::ccccccccc::::cccccccccccccccccccccclxO
	lcc:cccclccccccclllc:,'.............',,,,,,,,,,,,'''''''',,,,,,,,,'''''''''''..'''''''''''''''''''......................................................................'',,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,,,'...'',,,,,;;;;;;;;;;,,'',;;;;,,,,,,,,,;;;,,,'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',;ccccccccccccccccccccccccc::;::ccccc:;,,,:ccccccccccccccccccccclxO
	lcccccccllcccccclllc:,'.......''.....'''',,,,,,',,,,''''.........''''''''''''',,,,''''''.................................................................................',;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,;,,'...',,,,,,;;;;;;;;;;,,',,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',::cccccccccccccccclllcccccc:;;,;;:::::,''';:cccccccccccccccccccclxO
	ccc:ccccllcccccclllc:,'......,;::;,'....''',,,''''',,''''''.....'''''''''',,,,,,'''......................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,;;,''',,,;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,,''...'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''';:cc:::cccccccccccccclllcccccc:;;,;;::c:;,''';:cccccccccccccccccccclxO
	ccc:cccclcccc:cclllc:,.......,:lolc:,'.....''''..''',,,,,,,'''''''''',,''''''''...........................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,'',,;;;;;;,,,,,,,;;;;;;;;;,,,,,,,,;;;;,''''',,,,,,,,,,,,,,,,,,,,,,,,,''..''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''';lool:;;;::cccccccccccccccccccc:;,,;;::c:;,,',;:cccccccccccccccccccclxO
	ccc:cccclcccc:cclllc:,'.....',:lodoolc:;,''.......',,,,,,,,,,,,,''...'''''................................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',;;;;;,,,,,,,,,,,,,;;;;;;;,,,,;;;;;,,'''',,,,,,,,,,,,,,,,,,,,,,'''...'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',;ldxdl:;,,,;;:cccccccccccccccccc::,,,;::c:;,'',;:cccccccccccccccccccclxO
	ccc::cccllccc:cclllc:,'.....',:loddoooollc:;,''....'''',,,,,,,,''.....',,,;;;;;;::;;;;;;;,''...............................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,'',;;;;;;,,,,,,,,,,,,,,;;;;;;,;;;;;;,''.'',,,,,,,,,,,,,,,,,,,,,,''...'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',:ldxxdl:,,,,,,;::cccccccccccccccc:;,,,,;:c:;,,',;:cccccccccccccccccccclxO
	ccc::ccclccc::cclllc:;'......,:lodddooodddooolc:;,,'''''''','''''''',;:cclloooooooooollllc;'...............................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,;,,'',;;;;;;,,,,,,,,,,,,,;;;;;;;;;;;;;;,'..',,,,,,,,,,,,,,,,,,,,,,'''.'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''..,:lxkkxol:;,,,,,,;:cccccccccccccccc::,,,,;:c::;;,,;:cccccccccccccccccccclxO
	cc:::ccclccc::ccllllc;'......,:loddoooodddddoooooollc:;;;;;;;;;;;::cloooooddddddddddddddol;'...............................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,,,,'',;;;;,,,,,,,,,,,,,,,,;;;;;;;;;;;;,,'.',,,,,,,,,,,,,,,,,,,,,'..''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''...;ldxkkxdoc;,,,,,,;:cccccccccccccccc::;,,,;:c:::::::ccccccccccccccccccccclxO
	cc:::ccclccc::ccclllc;'......';loddddodddooooddddddooooooooooooooooddddddddddddddddddddol:,.................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',;;;;,,,,,,,,,,,,,,,,,,;;;;;;;;;,,'''',,,,,,,,,,,,'''',,,''..'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''..',cdkkkkkkxl:;,,,,,,:cccccccccccccccc::;;,;::c:::::::ccccccccccccccccccccclxO
	ccc::ccclcccc:ccclllc;'......';cododddddddddoodddddddddddddddddddddddddddddddddddddddddl:,'.................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',;;;,,,,,,,,,,,,,,,,,,,,;;;;;;;;,''''',,,,,,,,,,,''..''''..'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.',:oxkkkkkkxo:,,,,,,;:cccccccccccccccc::;;;;::c:::::::ccccccccccccccccccccclxO
	ccc::ccclcccc:ccclllc:,......';codddooddooooooodddddddooddddoddddddoodddddddddddddddddoc;'.................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'.'',,,,,,,,,,,''.......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',:ldxkkkkkkxl;,,,,,,;:cccccccccccccccc::;;;;::::::::::ccccccccccccccccccccclxO
	ccc::ccclcccc:ccclllc:,'.....';coddooodooooddoodddddddoddddddddddddddddddddddddddddddol:,.................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,;,,,'..',,,,,,,,,,,''.......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',;:odxkkkkkkkxl;,,,,,,,;cccccccccccccccc::;;;;::c:::::::ccccccccccccccccccccclxO
	cc:::cccllcc:::cclllc:,'.....';coddddddooooooooooddddddddddddddddddddddddddddddddddddoc;'.................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,;,,'...',,,,,,,,,,'''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''''',;:ldxkkkkkkkkkxl:,,,,,,,;ccccccccccccccccc:;;;;::c:::;;:::cccccccccccccccccccclxO
	cc:::cccllcc:;;:clllc:,'.....';codddooooddoooooooddddddddoodddddddddddddddddddddddddol:,'.................................................................................,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,,,,,,,,,,,,,,;;,,,,;,,'..'',,,,,,,,,'''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''......''',,,;cldxkkkkkkkkkkkxo:,,,,,,;:ccccccccccccccccc:;,;;::c::;,,,;:cccccccccccccccccccclxO
	ccc::cccllcc:;;:clllc:,......';codddddddddooooooooddddooooodddddddddddddddddddddooddoc;'.................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,;;;;;;;;;;;;;;;,,,,;,,'''',,,,,,,,,''.....''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''.......',,,;:::ccloodxkkkkkkkkkkkkkxo:;,,,,,;;:ccccccccccccccc::;,;;::c:;,,,,;:cccccccccccccccccccclxO
	ccc::cccllcc:;;:clllc:'......';coddddddooooooooooooooooooodddddddddddddddddddddddoddoc,.................................................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,;;,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;,,,,,,,,,;;;;;;;;;;;;;;;;;,,;,,'',,,,,,,,,,,'.....'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''...........',cloodxkkkkkkkkkkkkkkkkkkkkkkxo:;;,,,,,;:ccccccccccccccc::;,;;::c:;,,,,;::ccccccccccccccccccclxO
	ccc::cccllcc:;;:clllc:'......';coddddddooooooooooooddddooodddddddddddddddddddddoooool:'.................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,;;;,,,,,,;;;;,,,,,,;;,,,,,,,,;;;,,;;;;;;;;;;;;;;;;;;;;,,''',,,,,,,,,,''....'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''............''',,,;:ldxkkkkkkkkkkkkkkkkkkkkkkkkkxo:;;,,,,,;::cccccccccccccc:;;,;;::c:;,,,,;::::ccccccccccccccccclxO
	ccc::cccllcc:;;:clllc:,.......,coooododoooodddoooodddddoddddddddddddddddddddddddddool;'................................................................................',,,,,,,,,,,,,,,,,,,,,'''''''''........',,,;;;;;;;;;;;;;;;;,,,,,,,,;;;;;,;;;;;;;;;;;;;;;;;;;;;;;;;,,'''',,,,,,,,,''....',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''.'''''..'''',,,,,,,,,,,,,,;coxkkkkkkkkkkkkkkkkkkkkkkkkkxo:;;,,,,,,;;::cccccccccccc:;,,;;::c:;,,,,;::::ccccccccccccccccclxO
	ccc:::ccllcc:;;:clllc:,'.....';cooooooooooooooooooooooooddddooooddoooooooddddddddddol;'...............................................................................',,,,,,,,,,,,,,,,,,,,,,''''',,,''''''.....'',,,;,,,,,,,,;;;;,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;,''',,,,,,,,,,''...'',,,,,'''''''''''''''''..'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''''...',;;::;;;;;;;;;,,,,,,,,,,,:oxkkkkkkkkkkkkkkkkkkkkkkkkkkxo:;,,,,,,,,,,;;::ccccccccc::;,,;::c:;,,,,;::::ccccccccccccccccclxO
	ccc:::ccllcc:;;:cllccc:;,,,,,;:looooooooolllllllloooooooooooolloooolc::cloooodoodddoc;'..............................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'......',,,'......',,,,,,,,,,'..........',,;;;;;;;;;;;;;;;;;,,''',,,,,,,,,''.....''''''''',,,,,,,,,,,,,'''''''''''''''''.'''''''''''''',,,,'''''''''.'''''..'''''''''',;;;;;;;;:cccccccccccc::;,,,,,,,,,:okkkkkkkkkkkkkkkkkkkkkkkkkkkxo:;,,,,,,,,,,,,;;;::::cccc::;,,;::c::;;;;::c::ccccccccccccccccclxO
	ccc:;;:cllcc:;;:cllllccccccccccllllllllllllccccclllllllllllllllllllc;,'',:clooooodolc,...............................................................................',,,,,,,,,,,,,,,,,,,,,,,,,'''''''''',,,,,''........      ..'',,''................'',,,,;;;;;;;;;;;,,''.',,,,,,,,'.........',,,,;::::::::::;:::::;;;;:::;;;;,,,''''''''.......'''''........'......'',;;;;;;;;::ccccc:::cccccccccccccc:;;,,,,,,,;cdkkkkkkkkkkkkkkkkkkkkkkkkkkkxo:;,,,,,,,,,,,,,,,,;;;;::c:;;,,;::c:::::::::::ccccccccccccccccclxO
	ccc:;;:ccccc:;;:cllclllllllllllccccccclllccccccccclllcccccclccccllc:,.....,;:clooool:,..............................................................................',,,,,,,,,,,,,,,,,,,,''''..............',,,,'..             ...............''''''....'',,;;;;;;;;;;,'...',,,,,,,''..'',,,,,;;;;::ccllcccccc:ccclcc::cclcccccc::;;;::;;;;;,,,;;;;;;;;;,,,;;;;;;;;;;;::cccccc:cccccccc:::cccccccccccccc:;;,,,,,,,;cdkkkkkkkkkkkkkkkkkkkkkkkkkkkxo:;,,,,,,,,,,,,,,,,,,,,;;;;;,,;;::cc:::::::::::::::cccccccccccclxO
	ccc:;;:ccccc:;;:clllcccllccccccccllcccclllccc::cccllcccccclcc::cllc:,.......';:llool:,............................................................................'',,,,,,,,,,,,,,,,'''''''.'''''''...........''''..               .....'',,,,,,,,,,,,'''''',,;;;;;;;;,,'.'',,,,,,,''..';::cc::;;;;::cclcccccc:::cccc:::ccllcccccccc:ccccccccc::cccccccccc::ccccccc::::cccccccc:cccccccc:::cccccccccccccc:;;,,,,,,,;cdkkkkkkkkkkkkkkkkkkkkkkkkkkkxo:;,,,,,,,,,,,,,,,,,,,,,,,,,,,;;:::c:::::::::::::::::cccccccccclxO
	ccc:;;:cllcc:;;:cllllccllcc::::cclcc::ccllllc:::ccclcc:::clcc:;:ccc:,.........';:llc:,...........................................................................',,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,''...........             ...'',,,,,''''....',,,,,,,,,,;;;,,,,,,'..',,,,,,,,'.',;:ccc::;;;;;::cclccccc:::cccccc::cccccllllccc:cclllccccccccccclllcc:cccccccc::::ccccccc:::ccccccc::::ccccccccccccc:;,,,,,,,,;cdkkkkkkkkkkkkkkkkkkkkkkkkkkkxo:;;,,,,,,,,,,,,,,,,,,,,,,,,,,;;:::::::::::::::::::::cccccccccclxO
	ccc:;;:cllcc:;;:cllllccllcc:;;:cclcc:;:ccllc::;:ccccc:;;:clcc;;:ccc:'...........';::;'..........................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,''''......              ..'''''''............'',,,,,,,,,,,,;,,'''',,,,,,,,''',:cccc::;;;;;;;:cclccccc:::ccccc:::cccccccccccc:cccccccccc:ccclllllcc:cccccccc::::ccccccc:;::cccccc:::cccccccccccccc:;,,,,,,,,;cdkkkkkkkkkkkkkkkkkkkkkkkkkkkxo:;;,,,,,,,,,,,,,,,,,,,,,,,,,,;;:::::::::::::::::::::cccccccccclxO
	ccc:;;:cllcc:;;:cllllllllcc:;;;:clcc:;:cclcc:;;:ccccc:;,:clcc:::clc:,.............'','.........................................................................',,;,,,,,,,,,,,,,,,,,,,,,,,,'''..............''...               .......................',,;;;,,,,,,,,'''',,,,,,,,'..';cllcc::;;;;,,;:cllccccc:cccccccc::cccccccccccc:cccccccc:::ccllllllcc:cccccccc::::ccccccc:;:cccccccccccccccccccccccc:;,,,,,,,,;cdkkkkkkkkkkkkkkkkkkkkkkkkkkkxo:;,,,,,,,,,,,,,,,,,,,,,,,,,,,,;::c::::::::::::::::::cccccccccclxO
	ccc:;;:cllcc:;;:cllllccllcc;;;;:clcc:;:ccllcc:;:ccccc:,,;clcc:::ccc:,...............''.......................................................................'',,,,,,,,,,,,,,,,,,,,,,,''''.......................                ......''',,,,,,,,,''..'',,,;;;,,,,,,'.'',,,,,,,'..,;:ccllcc:;;;;;;::ccllcccc:cccccccc::cccccccccccc:cccccccc:::ccccccllcc::cclcccc::::ccccccc:;:cccccccccccccccccccccccc:;,,,,,,,,;cdkkkkkkkkkkkkkkkkkkkkkkkkkkkxo:;,,,,,,,,,,,,,,,,,,,,,,,,,,,,;::c::::::::::::::::::cc::cccccclxO
	ccc:;;:cllcc:;;:clllllcllcc:;;;:clcc:;:ccclcc:;:ccccc;,,;clcc:;:clc:,...............''......................................................................'',,,,,,,,,,,,,,,,,,,,,'''.......''.................              ....''''''''''',,,;;;,,,,'',,,,;;,,;,,'''',,,,,,'''',;cccccccc:;;;;;;::cclccccc:ccccccc:::cccccccccccc:cccccccc:::cccccccccc:ccclcccc::::ccccccc:;:cccccccccccccccccccccccc:;,,,,,,,,;cdkkkkkkkkkkkkkkkkkkkkkkkkkkkxo:;;,,,,,,,,,,,,,,,,,,,,,,,,,,,;::ccccc::::::::::::::cc::cccc:clxO
	ccc:;;:cllcc::;:cllllllllcc:;;;:clcc:;:ccllcc:;:ccccc:,,;cccc:;:ccc;'......................................................................................',,,,,,,,,,,,,,,,,,,,,'''''''',,,,,,,,,,,,,,,,,,,,'...            ..''''.''.........'',,;;;;,,,,,,,,,,,,'..',,,,,''..',:ccccccccc:;;;;;;::cclccccc:ccccccc:;:cccccccccccc:cccccccc:::ccccccccc:::ccccccc::::ccccccc:::cccccccccccccccccccccccc:;,,,,,,,,;cdkkkkkkkkkkkkkkkkkkkkkkkkkkkxo:;;,,,,,,,,,,,,,,,,,,,,,,,,,,;::ccccccccccccccc:::::cc:::ccccclxO
	ccc:;;:cllcc:;;:cllllllllcc;;;;:clcc:;:ccccc::;:ccccc:,,;:ccc:;:ccc;'.............. ......................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;,,,,,,,,,,,,,,..          .....................',,;;;;;,,,,,,;,,'..',,,,,''.',;:cccccccccc:;;;;;;::cclccccc:ccccccc:;:cccccccccccc:cccccccc:::cccccccccc:cccccccc::::ccccccc:::cccccccccccccccccccccccc:;,,,,,,,,;cdkkkkkkkkkkkkkkkkkkkkkkkkkkkxo:;;,,;,;;;,,,,,,,,,,,,,,,,,,,;;:ccccccccccccccc:::::cc:::ccccclxO
	ccc:;;:cllcc:;;:cccclllllcc;;;;:clcc:;:ccccc:;;:ccccc:,';:ccc:;:ccc;'...................................................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,'..       .......''''',,,,,,'''...',,;;;;,,,,,,;,'..'',,,,'''',:cccccccccccc:;;;;;;::cclccccc:ccccccc:;:cccccccccccc:cccccccc:::cccccccccc::ccccccc::::ccccccc:::ccccccclcccccccccccccccc:;,,,,,,,,;cdkkkkkkkkkkkkkkkkkkkkkkkkkkkxdollllllllllllllllc::::::::::::::ccccc::ccc::c:::::::cc:::ccccclxO
	ccc:;;:cllcc:;;:cccllllllc::;;:cclcc:;:ccccc:;;:ccccc:,,;:ccc:;:ccc:,.........  ......................................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'....      ...'',,,,,;;;;;;;;;;;,,,'.'',,;;;;;,,,,,'...',,,''..';:ccccccccccccc:;;;;;;::cccccccc:ccccccc:::cccccccccccc:cccccccc:::cccccccccc::ccccccc::::ccccccc:;:ccccccclcccccccccccccccc:;,,,,,,,,;cdkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxdoooooooooolcccc::::::::::::::::::cc:::ccccclxO
	ccc:;;:cclcc:;;:cccllllllcc:;:ccclcc:;:ccccc:;;:ccccc:,,;:ccc:;:ccc:,'...............................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..          .',,;;;,,;;,,,,,,,,,,,,,,,''',;;;;;;;;,'...',,,''.'';ccccccccccccclc:;;;;;;;:cccccccc:cccccc:::ccccccccccccc:cccccccc:::cccccccccc::ccccccc::::ccccccc:;:cccccccccccccccccccccccc:;,,,,,,,,;cdkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxolcc::::::::::::::::::cccc:cccccclxO
	ccc:;;:ccccc:;;:cccllllllc::;:ccclcc:;::cccc:;::ccccc:,',::::;;;:::;,'.............................................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''...            .',;;;;,,,,,,,,,,,,,,,,,;,,,,,,,,;;;,,,'''',,'''',;:cllcccccccccllll:;;;;;;;;:ccccccc:cccccc:::ccccccccccccc:cccccccc:::cccccccccc::ccccccc::::ccccccc:;:cccccccccccccccccccccccc:;,,,,,,,,;coxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxolccccc:::::ccccccccccccccccccccclxO
	ccc:;;:ccccc:;;:ccclllcllc::;:ccclc::;:ccccc:;;;:::;;,''',,,,'''',,'''............................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..                ..,;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,'..'',''..';:cclllccccclllllllc:;;;;;;;:cccccccc:cccccc:::ccccccccccccc:cccccccc:::cccccccc::::ccccccc::::ccccccc:;:ccccccc:cccccccccccccccc:;,,,,,,,,;:codxxxxxxxxxxxxxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxolccccccc::cccccccccccccccccccccclxO
	ccc:;;:ccccc:;;:ccccllcllc::;:ccccc:;;:::::;,,'''''''...........'''''''''.......................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,...                   .,;;;,,,,,,,,,,,,,,,,,,,,,;,,,,;,,,'...''''.',;cllllllccccllllllllc:;;;;;;;:cccccccc:cccccc:::ccccccccccccc:cccccccc:::cccccccc::::ccccccc::::ccccccc:;:ccccccc:cccccccccccccccc:;,,,,,,,,;::clllllllllccclodxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxolccccccccccccccccccccccccccccccclxO
	cc::;;:ccccc:;;:cccclccllc::;:cccc:;,,,,''''.......''''''.......'','',,,''.....................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'...                    ..,;;,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,''..''''',;:ccllllllllccclllllllc:;;;;;;;;:ccccccc:cccccc:::ccccccccccccc:cccccccc:::cccccccc::::ccccccc::::ccccccc:;:ccccccc:cccccccccccccccc:;,,,,,,,,;::cclcccccc::;;;:cllodxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxolccccccccccccccccccccccccccccccclxO
	ccc:;;:ccccc::;:cllcllcclc:;;::c:;,''..........'''''''''''.....'',,',,,,,'...................................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,..                      .',,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,'''.....',;:ccccclllllllccccccccccc:;;;;;;;;:ccccccc:cccccc:::ccccccccccccc:cccccccc:::cccccccc::::ccccccc::::ccccccc:::ccccccc:::cccccccccccccc:;,,,,,,,,;::ccllcccccc:;;;;;;::oxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxolccccccccccc::cccccccccccccccccclxO
	ccc:;;:ccccc::;:cclclllllc:;,,,,,'......'..''''''''''''''.....''',,,,,,,,'.................................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'.                      ..',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.......';::ccccc::::::::ccccccccc::;,,,;;;;::ccccc:::ccccc:::ccccccccccccc:cccccccc:::cccccccc::::ccccccc:::cccccccc:::ccccccc::::ccccccccccccc:;,,,,,,,,;::ccclcccccc:;;;;;;;:lxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxolccccccccccccccccccccccccccccccclxO
	ccc:;;:ccccc::;:cclcllcc::,'.........'''''''''''''''''''.....',,,,,,,,,,,'................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..                     ..',,,,,,,,,,,,,,,,,,,,,,,,,,,,,'.........'',;;;;;;;;,,,,,,;;;;;;;;;;;,,'',,,,,,;;;;;;;;;:cccc:::cccccccccccc:::ccccccc:::cccccccc::::cccccccc:cccccccccc:cccccccc::ccccccccccccccc:;,,,,,,,,;::cccllccccc::;;:;;::ldxkkkkkkxdxxkkkkkkkkkkkkkkkkkkkkkkkkkxolccccccccccccccccccccccccccccc::lxO
	ccc:;;:ccccc::;:cccc::;;,'.....'''''''''''''''''''''''''.....',,,,,,,,,,,'..............................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..                    ..',,;,,,,,,,,,,,,,,,,,,,;;;,,,'........'',,''''''''''''''''''''''''''''''''''''''''''',,,;:ccc:::cccccccccccc:;:ccccccc::ccccccccc::::cccccccc:cccccccccc:cccccccc:cccccccccccccccc:,,,,,,,,,;::cccllcccccccccc::cccllddddddolloddxxkkkkkkkkkkkkkkkkkkkkkxolccccccccccccccccccccccccccccc::lxO
	cc::;;:cllcc:;;;;;;,,'.....'''''''''''''''''''''''''''''.....',,,,,,,,,,,'''...........................................................',,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..                   ...',;;,,,,,,,,,,,,,,,,,,,,,,,'.......'''''''''''''''''''''''''''''''''''''''''''''''''''''',;;::::cccccccccccc:::ccccccc::ccccccccc:::ccccccccc:cccccccccc:cccccccc:cccccccccccccccc;,,,,,,,,,;;:cccllcccccccccccccccccccllllcc::ccloxxkkkkkkkkkkkkkkkkkkkxdolcccccccccccccccccccc::::::::::lxO
	ccc:;;:cccc:;,'''''......'''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,''........................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,..                 ...',,,,,,,,,,,,,,,,,,,,,,,,''......'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,,;::ccccccccccc::cccccccc::ccccccccc::cccccccccc:cccccccccc:cccccccc:cccccccccccccccc:,,,,,,,,,;;:ccclllcccccccccllcccccccccllcc::;::clodxkkkkkkkkkkkkkkkkkkkxoccccccccccccccccccccc:::::::::lxO
	cc::;;;:::;,''........''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,'......................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..             ...',,;;,,,,,,,,,,,,,,,,''''''......'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,;:cccccccccccc:cccccccc:cccccccccc::cccccccccc:cccccccccc:cccccccc:ccccccccccccccc:;,,,,,,,,,,;:ccclllllccccccclllccccccllllcc:;;;;;;:lodxkkkkkkkkkkkkkkkkkxocccccccccccccccccccccc::::::::lxO
	:::;,'','''...''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,'...................................................',,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'...       .....',,,;,,,,,,,,,,,,,,,,,,,,,,'......''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,;:::cccccccc:cccccccc:cccccccccc::cccccccccc:cccccccccc:cccccccc:cccccccccccccccc:,,,,,,,,,,;:ccllccllccccccclllllllllllcccc:;;;;;;;;:codxkkkkkkkkkkkkkkkxolccccccccccccccccccccc::::::::lxO
	:;,'........''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,,''...............................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'.......'',,,,;,,,,,,,,,,,,,,,,,;;,,;,,'.....''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,,;;:ccccc::cccccccc:cccccccccc::cccccccccc:cccccccccc:cccccccc:ccccccccccccccc:;,,,,,,,,,,;:cccccccccccccclllllllllllccccc:;;;;;;;;;;:cloodxkkkkkkkkkkkxolcccccccccccccccccc:::::::::::lxO
	''........''''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,,,'............................................''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,,,,,,,,,,,,,;;;,,,''..''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,;::::::cccccccc:cccccccccc:ccccccccccc:cccccccccc:cccccccc:ccccccccccccccc:;,,,,,,,,,,;:ccccccccccccccllllllllllllllcc:;;;;;;;;;;;;;:clodxkkkkkkkkkxolcccccccccccc:::::::::::::::::lxO
	.....'''''''''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,;,,,,,''........................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,''...''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,;;:::cccccccc:cccccccccc:cccccccccc::cccccccccc:cccccccc:ccccccccccccccc:;,,,,,,,,,,;:cccccccccccccclllllclllllccccc:;;;;;;;;;;;,,;;::codxkkkkkkkxolccccccccccc::::::::::::::::::lxO
	.'''''''''''''''''''''''''''''''''''''''''''''''''''''''.....'',,,,,,,,,,,,,,,,,,'....................................'',,,,,,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''...''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,;;::ccccccc:cccccccccc:cccccccccc::cccccccccc:cccccccc:ccccccccccccccc:;;,,,,,,,,;;:ccccccccccccccccccccclllllllcc:;;;;;;;;;;,,,,;;;;:cldxkkkkkxolcccccccccc:::::::::::::::::::lxO
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,'...............................'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,,,''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,;;::ccccc:cccccccccc::ccccccccc:::ccccccccc:cccccccc:ccccccccccccccc:;;,,,,,,,,;;:ccccccccccccccccccccccllllllcc:;;,,,;;;;,,,,,,;;;;;:cldxxkkxolccccccccc:::::::::::::::::::clxO
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....',,,,,,,,,,,,,,,,,,,,''...........................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,,,,,,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,;;::ccc:ccccccccc:::ccccccccc:::ccccccccc:cccccccc:ccccccccccccccc:;,,,,,,,,,;;:ccccccccccccccccccccccllllllcc:;;,,,;;;,,,,;,,,;;;;;;codxkkxolcccccccc::::::::::::::::::::clxO
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,,,''.....................'''',,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,;;::::ccccccccc:;:ccccccccc::cccccccccc:cccccccc:ccccccccccccccc:;,',,,',,,;;:cccccccccccccccccccccccllllccc:;;;;;;;;,,,,;;;;;;;;;;ldxkkkxocccccccc::::::::::::::::::::::lxO
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,,,,''.............''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,,;;;:cccccccc:;:cccccccccc:cccccccccc:cccccccc:ccccccccccccccc:;,''''''',;:ccccccccccccccccccccccccclllccc:;;;;;;;;;;;;;;;,,,,,,;cldxkkxoccc:::::::::::::::::::::::::::lxO
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,,,,,,''''',,,,'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,''.''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,;cccccccc:;:cccccccccc:cccccccccc:cccccccc:cccccccccccccc:;,,''''''',;::ccccccccccccccccccccccclllcccc:;;;;;;;;;;;;;,,,,,,,;;:coxkkxolc::;;;;::::::::::::::::::::::lxO
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....''',,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',;cccccccc:;:ccccccccc:::ccccccccc:cccccccc:cccccccccccccc:;,'''''''',;:ccccccccccccccccccccccccllccccc:;;;;;;;,,;;;;,,,,,;;;;:coxkkxdlc:;,',;::::::::::::::::::::::lxO
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,,,'''....'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',;cccccccc:::ccccccccc:::ccccccccc:cccccccc:cccccccccccccc:;,'''''''',::ccccccccccccccccccccccccllccccc:;;;;;;;,,;;;;;,,,,,,,;:coxkkxdlc:;,',;:cc:::::::::::::::::::lxO
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,'''....'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',;cccccccc:::ccccccccc:::cccccccc::cccccccc:cccccccccccccc:;,'''''''',:cccccccccccccccccccccccccllccccc:;;;;;;;;;;;;;;,;;;,,,,;coxkkxdlc:;,',;:cc:::::::::::::::::::lxO
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''.....'''''''''''''''''''',,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',;cccccccc:::ccccccccc:::ccccccc:::cccccccc:cccccccccccccc:;,'''''''',:cccccccccccccccccccccccccccccccc:;;;;;;;;;;;;;,,,,;;;,,;coxkkxdlc:;'',;::::::::::::::::::::::lxO
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.....'''''''''''''''''''''''''''',,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',;cccccccc:;:ccccccccc:::ccccccc:::cccccccc:cccccccccccccc:;,'''''''',:cccccccccccccccccccccccccccccccc:;;;;;;;;;;;;;,,,,,,,,,;coxkkxoc::;,,,;::::::::::::::::::::::lxO
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''........'''''''''''''''''''''''''''''',,,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',;cccccccc:;:ccccccccc:;:ccccccc:::cccccccc::ccccccccccccc:;,'''''''',:cccccccccccccccccccccccccccccccc:;;;;;;;;;;;;;,,,,,,,,,;coxkkxoc:::;;::::::::::::::::::::::::lxO
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.........'''''''''''''''''''''''''''''''''''',,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',;cccccccc:;:ccccccccc:;:ccccccc:::ccccccc:::ccccccccccccc:;,'''''''',:cccccccccccccccccccccccccccccccc:;;;;;;;;;;;;;,,,,,,,,,;coxkkxocccc::cc::::::::::::::::::::::lxO
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''.........''''''''''''''''''''''''''''''''''''''''',,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',;ccccccc::;:ccccccccc:::ccccccc:::ccccccc:;:ccccccccccccc:,,'''''''',::ccccccccccccccccccccccccccccccc:;;;;;;;;;;;;;,,,,,,,,,;coxxdolccccccc:::::::::::::::::::::::lxO
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''...........'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',;:cccccc::;:ccccccccc:::ccccccc::::cccccc:;:ccccccccccccc;,''''''''',::ccccccccccccccccccccccccccccccc:;;;;;;;,,;;,,,,,,,,,,,;:clllcccccc::::::::::::::::::::::::::lxO
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......''',,,,,,,,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''..........''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',;:cccccc::;:ccccccccc:::ccccccc:;;:cccccc:;:ccccccccccccc;,''''''''',::ccccccccccccccccccccccccccccccc::;;;;;;,;;;;,,,,,,,,,,,;::ccccccc:::::::::::::::::::::::::::lxO
	''''''''''....'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''.......''',,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''........''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',;:cccccc::;:ccccccccc:::ccccccc:;;:cccccc:;:ccccccccccccc;,''''''''',::cccccccccccccccccccccccccccccccc:::::::::::::::::::::::::ccccccc::;,,;;:::::::::::cc::::::::lxO
	''''...''......'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''........''',,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''........''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',;:cccccc::;:ccccccccc:::ccccccc:;;:cccccc:;:ccccccccccccc;,''''''''',::ccccccccccccccccccccccccccccccccccccccccc::ccccccccccccccccccccc:;,,,,;::::::cc:::cc::::::::lxO
	`,
	`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
	dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxdddxxxxdddddddddddddddddddddddddddddddollllllllllllllllllllccloddxddddddddddddddddddddddddddddddxxxxxxxxxxxxxdddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxdol:;;cxO
	ooooooooooooooodddddddddddddddddddddddoooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoolcccccccccccccccccccc::cloddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddxddddddddddddddddddddddddol:,',:lk0
	dddddddoodddddddddddddddddddddddddddddoooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoolllllccccllllllllllcc::cloddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddddddddol:;,,:ldO0
	dddddddoodddddddddddddddddddddoddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoolccccccllllllllllllcc::clodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddxxxdddddddddddddddddddddddddolcc:::cloxO0
	dddddddooddddddddddddddddddddddddddoooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoollcccccclllllllllllccc:::loddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddddddddooccccccclodxO0
	ddddddddodddddddddddddddodddddddddddooooooooooodddddddddddooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoolccc::;:cllllllllllccc:::coddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxdddddddddddddddddddxxxddddddddol:;:clc:coddxO0
	ddddooooooodddddddddddooodddddddddddooooooooooodddddddddddodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoolccc:;,;cllllllllllccc::;clodddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxxxxddxxxddxxxxdddxxxddddddddddxxxxddddoc:;::llcclddodkO
	oooooooooooooooddddddddooddddddddddoooooooooooodddddooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddollccc:;,;cclllllllllccc::;:loddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxddxxxxddddddxddddxxddddxxxddddddddddxdddddolc:;:clccccllc:cdk
	oooooooooooooooodddddddddddddddddddoooooooooooodddoooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoollcccc;;;cccccccccccccc:;;:cooddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddxxxxxxxdddddddddddddddolc:;;:cll:;:cc:;;:dO
	ooooooooooooooodddddddoodddddddddddoooddoooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoollcccc:::cccccccccccccc:;;:cloddddddddddddddddddddddddddddddddddddddddddddddxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddxxxxdddddddxxxxdddddol:;;::cccc;,;::::cok0
	oooooooddoooddddddddddddddddddddddddooddoooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoollccccccccccccccccccccc:;;:cloddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddxddddddddxxdddddddddddddddddddddddddddlc:;;:cccc:::ccccclodO0
	oooooooddoooddddddddddddddddodddddddooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddollcccccccccccclllcccccc::;::loddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxdddddddddxdddddddddddddddddddddddddoc:;;:::;:::::cllccoooxO0
	ooooooooooooddddddddddddddddodddddooooooooodddddddddddddddddddddooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddolcccccccccccccllllccccc::;;:coddddddddddddddddddddddddddddddddddddddddddddddxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddddol:;;;::;;:ccccllllodddxO0
	oooooooooooooddddoddddddddddodddooooooooooddddddddddddddddddddddoooooddddddddddddddddddddddddddddddddddddddddddddddddddddddoolcccccccccccccccllccccc::;;:coddddddddddddddddddddddddddddddddddddddddddddddxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddxxddddddddddddxxxdxxxdddddddddddddddolcc::;;:::ccllccclooddddxO0
	ooooooddddooooodddddddddddddodddoddddoooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddolcccccllccccccccllccccc:;;;:codddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddxxddxxddxxxxxxxddddddddddddddoc:::::ccccllcc:;:coddddddxO0
	ooooooddddooooddddddddddoooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoolcccccllccccccccccccccc::;;:coddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddxddddxxxxxxxxxxxdddddddddddolc:;;;:cllccllc;;:lodddddddxO0
	oddddoooooooddddddddddddoooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoolcccccllccccccccccccccc:;;;:codddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddxddddxxxxxxxxxxxddddddddddol::;;:cllollccc:::lddddddxddxO0
	dddddddoddddddddddddddoooooooooooooooooodddddddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddolcccccclccccccccccccccc::;;:clodddddddddddddddddddddddddddddddddddddddddddddxxxxxxxdxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddxddddxxxxxxxxxxdddddddddolc:::c:cloolccc::clodddddddxddxO0
	ddddddddddddddddddddddoooooooooooooooooooddddddddddooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoolcccccccclllcccccccccccc:;;;:loodddddddddddddddddddddddddxddddddddddddddddddxxxxddddddxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddxddddxxxxxxxxddddddddddol::ccccclodoc;;;:coddddddddddddxO0
	ddddddddddddddddddddddddooooooooooooooooodddddddddoooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooooollllllcccccccccllllccccccccccc::::ccllllloodddddddddddddddddddddddddddddddddddddddxxxxddddddxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddxxxxxxxxxxdxdddddolcclooccllol:;,;:lodddddddddddddxO0
	ddddddddddddddddddddddddooooooooooooooooodddddddddddooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddoollllllllllccccccccccllllccccccccccccccccccc:::cloddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddxxxxxxxxxxxxxxdddocclodol::clc:;,;cldddddddddddddddxO0
	ddddddddddddddddddddddddoooooooooooooooooddddddddddddoooooodddddddddddddddddddddddddddddddddddddddddddddddddddddollllllllcllccclcccccccccccccccccccccccccccc:;;;:lodddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddxxxxxxxxxxxxxxxddolcclooolc:cll:;;:coddddddddddddddddxO0
	ddddddddddddddddddddddddooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddollllllcccccccllccccccccccclcccccccccccccccc:;;;:lodddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddxxxxxxxxxxxxxddolccloolc::cllc::coddddddddddddddddddxO0
	dddddddddddddddddddoooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddolllllcccccc:ccccccccccccccccccccccccccccccc:;;;:lodddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddxxxxdxxxdddolccllllcc::::::clodddddddddddddddddddxO0
	ddddddddddddddddddooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddollllllcccc:;;:ccccccccccccccccccccccccccccc:;;;:loddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddxdddxddolc::cllllc::::::cldddddddddddddddddddddxO0
	dddddddddddddddoooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddollcccccccc:;,;:cccccccccccccccccccccclccccc:;;;:loddddddddddddddddddddddddddddddddxdddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddl:;;:clllcc::cc:cloddddddddddddddddddddddxO0
	dddddddddddoooddooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddollcccccccc:;,;:cccccccccccccccccccccclccccc:;;;:lodddddddddddddddddddddddddddddddxxxdddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddoooolc:;;:cllllc::::cloddddddddddddddddddddddddxO0
	ddddddddddddddddddooodddddddooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddollcccccccc:;,;:cccccccccccccccccccccccccccc:;;;:lodddddddddddddddddddddddddddddddxxxdddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddxxdddolc::;;;,,;::ccclool:;;clodddddddddddddddddddddddddxO0
	ddddddddddddddddddddddddddddddddooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddollccccccccc:;:ccccccccccccccccccccccccccccc:;;;:lodddddddddddddddddddddddddddddddxxxddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddoooooodddooc:;;,,,'''',,;:cooolc;;cldddddddddddxxddddddddddddddxO0
	dddoooddddddddddddddddddddddddddddddddddodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddollcccccccccc:cccccccccccccccccccccccccccccc:;;;:lodddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddlc::;;:::cc:;,,,,,;,,'''',,;coolc::loddxdddddddddddddddddddddddddxO0
	dddoooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddollccccccccccccccccccccccccccccccccccccccccc:;;;:loddddddddddddddddddddddddddddddddddddddddxxdddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:;,,,,,,,,,''',,;;;;,,,,,,,,;;:::clodddddddddddxxxdddddddddddddddxO0
	ddooooooooodddddddddddddddddddddddddddddddddddddddooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddollcccccccccc::ccccccccccccccccccccccccccccc:;;;:looddddddddddddddddddddddddddddddddddddddddxxxddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxdoc:;;,,,,,,,,''.',,;;;;,'',;;,,''',;:lodddddddddddxdddddddddddddddddxO0
	ddooooooooooodddddddddddddddddddddddddddodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddollcccccccc:;,;::ccccccccccccccccccccccccccc:;;;:cloddddddddddddddddddddddddddddddddddddxddddxxddddddxxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddol:,,,,,,,,,,,''''',,,,,,',,;;,,,,,,,,;clooddddddddddddddddddddddddddxO0
	ddoooooooooooodddddddddddddddddddddddddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddollcccccccc:;,;::ccccccccccccccccccccccccccc:;;;:cloddddddddddddddddddddddddddddddddddddddddddddddddddxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:;,,,,'',,,,,,''.'',,,,,,,;,,',,,,,'',,;:cloodddddddddddddddddddddddxO0
	ddoooooooooooddddddddddoodddddddddddddooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddollcccccccc:;,;:cccccccccccccccccccccccccccc:;;;:cloddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddoc;,,,,,,,,,,,,,,,,''''',,,,,,,,,,,;,,'',,,'',;clodddddddddddddddddddddxO0
	oooooooooooooooddddddoooodddddddddooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddollccccccccc;,;::ccccccccccccccccccccccccccc:;;;:cloddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc;,'',,,,'''',,,,,,'....''''',,,,;;,,,,,,,,''.',;coddddddddddddddddddddxO0
	ooooooooooooooooooooooodddddddddoooooooooooooddddddooooddddddoooodddddddddddoddddddddddddddddddoooodddddddddddddollccccccccc;,;::ccccccccccccccccccccccccccc:;,,;cloddddddddddddddddddddddddddddddddddddddxddddddddxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddoc;,,,''',,,,,,,,,,'.....'''...'',,,,,,,,;;,,'',,,,,:coddddddddddddddddddxO0
	ooooooooooooooooooooodddddddddddoooooooooooooddddddoooodddddddooddddddddddddooddddddddddddddddooooddddddddddddddollccccccccc:;::cccccccccccccccccccccccccccc:;,;;:loddddddddddddddddddddddddddddddddddddddxxxddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddol:;,,,,'',,,;;;;;;,,'....',,,''.''''..',,,,,,,,,,;,,',;lddddddddddddddddddxO0
	ooooooooooooooodddooodddddddddddoooooooooooooddddddoooddddddddddddddddddddddoooddddddddddddoddooddddddddddddddddollccccccccccccccccccccccccccccccccccccccccc:;,,;:codddddddddddddddddddddddddddddddddddddxxxxddxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:;,,,,''',,,,,,,,,,,'...',;;;,,'''''..''''''',,;;;;,,,;lodddddddddddddddddxO0
	ooooooooooooooooddooodddddddddddoooooooooooooddddddooddddddddddddddddddddddooooddddddddddddooooddddddddddddddddoollccccccccccccccccccccccccccccccccccccccccc:;,,;:codddddddddddddddddddddddddddddddddddxxxxxxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc:,',,,,,'',,,,,,,,,,''..',,;;;,,,,,,,',,,''.',,,;;;;,,,:lddddddddddddddddddxO0
	ooooooooooooooooodooodddddddddddoooooooddoooddddddddodddddddddddddddddddooooddooddddddooddooooodddddddddddddddddollccccccccc:::ccccccccccccccccccccccccccccc:;,,;:codddddddddddddddddddddddddddddddddddddddddxxdddddddxxxxxxxxxxxxxxxxxxxxxxxxdddddddoooollllllllllllllllloooodddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxddoc;''''',,''',,;;;;;;,''..',,;;;;,,,,,,,,,;;,'',,;;;;,,;;:lodxxdddddddddddddddxO0
	ooooooooooooooooodooodddddddoooooooooooddooodddddddoodddddddddddddddddddooodddddddddddddddddddddddddddddddddddddollccccccccc;,,;:ccccccccccccccccccccccccccc:;;;;:codddddddddddddddddddddddddddddddddddddddxxddddddddddddxxxxxxxxxxxxxxxxxxxdddoollcc::;;;;;,,,,,,,,,,,,,,;;;::cllodddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc;,''',,'''..',,,,;,,,'..',,;;,,,,,,,,,',,;;,,',,;,,,,;;clddddddddddddddddddddxO0
	ooooooooooooooodddooodddddddddoooooooooooooooooodddoddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddollccccccccc;',;:ccccccccccccccccccccccccccc:;;;;:codddddddddddddddddddddddddddddddddddddddxxdddddddxxdddxxxxxxxxxxxxxxxdddoolc:;;;;,,,,,,,,,,,,,,,,'''''',,,,,'',;:clodddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdl:,,,,,,,''''''',,,,,''..'',,,,,,',,,,,,,,;;,,,,,;;;;;;;cldddddddddddddddddddddxO0
	ooooooooooooooodddooooodddddddddoooooooooooooooddddddddddddddddddooooooddddddddddddooodddddddddddddddddddddddddoollccccccccc;'',;ccclllccccccccccccccccccccc:;;;;:coddddddddddddddddddddddddddddddxxxxxxxxxxdddddddxdddddxxxxxxxxxxxddddolc:;,'''''',,,,,,,,,,,,,,''''',,,,;;,,'''',,;:clodddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxdoc,',,,,,,,,,,,,,,,,,,''',,,,,'''''',,'',,,,,,,,,;;;;;,;:lodddddddddddddddddddddxO0
	ooooooooooooooodddooooodddddddddoooooooooooooooddddddddddddddddoooolccllodddddddddddoodddddddddddddddooooddddddoollccccccccc;'',::clllllcccccccccccccclllccc:;;;::lodddddddddddddddddddddddddddddxxdddddddddddddddddddddddxxxxxxxxxddlc::;;,,,''''..........''''''',,,,,;;;;;;;,,''',,,;;:cloddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddol:''',,,,,,'',;;;;;;;,,,,;;,,,,,,,,,,'''',,,,,,,;;;;;,,;coddxdddddddddddddddddddxO0
	ooooooooooooooodddooooodddddddddoooooooooooooooddddooddddddddddooooolc::ccllooodddddddddddddddddddddddoddddddoooollccccccccc:;;;:cclllllcccccccccccccccccccc:;;;;:coddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxdddolc;,,,,,,,,,'''''''......'',,,,,,;;;;;;;;;;;;,,,,,,,,,,;;:loddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddoc;,,,,,,,,,'',;;;;;,,,,;;;,,,,,,;;;,,'''''''',,;;;;;;,;:lddxxdddddddddddddddddddxO0
	ooooooooooooooodddooooodddddddddddddddddddooooooddddoooddddddddoolcccc:;;;:ccccclloodddddddddddddddddddddddddoooollcccccccccc::ccccccccccccccccccccccccccccc::;;;:loddddddddddddddddddddddddddddxxxdddxddddddddddxxdddddddddddddoc:;,,,,,,,,,,'''',,,,,,''''''',;;;;;,,;;;;;;;;;;,,''',,;,,,,,;cloddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdlc;,,,,,,,,'''',,,,,,,,,;;;,,,,;;;;;,,',,,,,',,;;;;;;;:clddxxxxddddddddddddddddddxO0
	ooooooooooooooooooooooodddddddddddddddddddddooooddddooddddddddddolc:::;;;;;:::;:::ccllllooodddddddddddddddddooooollcccccccccccccccccccccccccccccccccccccccccc::::ccloooodddddddddddddddddddddddxxxxddxddddddddddddddddddddddddol:,'..'''''''',',,,,,;;;;;,,,,''',,;;,,,,,,,,;;;;;,,'..',,;;,,'',;clddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdlc;'',,,,''''','''''',,,,,,,,,;;;;,,,,,,;,,,,,,;;;;;:loddxxxxxxxxddddddddddddddddxO0
	ooooooooooooooooooooooodddddddddddddddddoddddddddddddddddddddddoooolcc:::;;;;:::;;;;;;;;::cclloooooooodddooolllccccccccccccccccccccccccccccccccccccccccccccccccccccccccloddddddddddddddddddddddddddddddddddddddddddddddddddddoc;,'..........',,,;;;,,,,,;,,,,,''',,,,,;;,,,;;;;,,,,'...',;;;;,,'',;coddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc;,,,,,,,',,,,,,''',,,,''',,,;;;,,,,,,;,,,,,;;;,;:codxxxxxxxxxxxxdddddddddddddddxO0
	ooooooooooodddddddddddooodddddddddddddddddddddddddddddddddddddolllllllcc:;;;;;;;,,,,,,,,,,;;::cclcccccllllcccccc:ccccclllcccccccccccccccccccccccccccccccccccccccccc:;;;clodddddddddddddddddddddddddddddddddddddddddddddddddol:,'',,,'.......'',,,;;;,,,,,;;;;;,,''',,;;;;;;;,,,,'''''...',;;;;;,,'',:codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:;,,,,,,,,,;;,,,,,,,,,''',,,,,,',,,;;;,,,,,;;,,;coddxxxxxxxxxxdddddddddddddddddxO0
	odddddooooddddddddddddddddddddddddddddddddddddddddddddddddddddoolc:;:::::;;;,,,,,,;;;;;::::::cccc::;;;::::;;;;;;;;;:::ccccccc:ccccccccccccccccccccccccccccccccccccc:;;;cloddddddddddddddddddddddddddddddddddddddddddddddddol;,,,,;,,,''',,,''.'',,,;;,,,,;;;;;;,,''',,,,,,,,,,'',,,,''..'',,;;;;,,'.';coddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddo:,,,,,,,,,;;;;,,,,;;,,,,,,,,,'..',,,,,,,,,;;,,,;codxxxxxxxxddddddddddddddddddddxO0
	odddddooooodddddddddddddddddddddddddddddddddddddddddddddddddddddoollc::;;::;;;;;;;;;;;;;:::::::ccllcc:;;;;;,,,,',,;;;;,,,,,,,,,,,,;;;;;;;,;;;;;;:::::cccccccccccccc:;;;clodddddddddddddddddddddddddddddddddddddddddddxdddoc;,',,;,,'''',,,,,,,'''',,,,,,,;;;;;;;,'....'''''',,,,,;,,,''''''',,;;,,'..';clddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxddoc;,,,,''',,;;,,,,;;;,,,,;;;,,''',,,'''',,;;,,;:codxxxxxxxxxddddddddddddddddddddxO0
	odddddooodddddooooooooodddddddddddddddddddooooodddddddddddddddddddddoolllcccc:::::;;;;;;;;;;;;::::cccccc::;;:::;;;;;;,,'''',,,,;;,,,,,;,'''''',,,;;;;;;;;;;;;;:::::;;;;cloddddddddddddddddddddddddddddddddddddddddddxxddoc;,,,,;,,''''''.'',,,,,,''',,,,,;;;;;,,'.....',,,,,,;;;;;,,,''',,,''',,,,''''',:lodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxdoc;,,,''..',,,,,,;;,,,,,;;;;,,',,;;,'',,;;;;;;:loddxxxxxxxxdddddddddddddddddddddxO0
	ooooooooddddddooooooooooddddddddddddddddddodddddddddoddoodddddddddddddddooooollllllc::::;;;;;;;;:::::clollc:::::;;;;;,,,,;;;;;;;;;;;,,,,',,;;;,,,,,;;;;,''''''',,,,,,,,:cloddddddddddddddddddddddddddddddddddddddddddxdol:,',,,,,'''','.....',,;,,,'''''',,,,,'''''''',,;;;;;;;;;;,,,''',;,,,,,'''.',,,,,;lddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdc;,',,,''',,,'',,,,,,,;;;;,,,,,;;,,,,,;;;;:clodddxxxxxxxxxxddddddddddddddddddddxO0
	oooooooooddddooooooooooddddddddddddddddoooodddddddddddddddddddddddddddddddddddddddooolllccccc::ccc::;::ccc:;;;,,,;:::;;,;;;;;;;;;,,;;;,,,,,;;;;,,,,,,,,,,,,,,''',,,,,'',;:cccccllloodddddddddddddddddddddddddddddddddddl:;,',,,,''',,,'.    ...',,,,'...''''',,,,,,,'',,,;;;;;;;;;,,,''',;;;,,,,'..',,,,',:lodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdc,''',,,,,,,''''''''',;;;,,,,,;,,,,,,,,,;:loddxxxxxxxxxxxddddddddddddddddddddddxO0
	oooooooooooooooooooooooddddddddoddddoooooooooooodddddooddddddddddddddddddddddddddddddddddddooooooolcc:::::;;;;,'',;;;;,,,,'',,,,,,',,,,,,,,,,,,,,;;;,,,,;;;;;;;,,;,,'''',,;;;;;;;;:cloooodddddddddddddddddddddddddddddoc;,,,,,'''',,,,..       ..',,,'.'',,,,,;;;;;,,,',,;;;;;;;;;,,,''',;;;;;;,,..',,,,'',:ldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdc,'',,,,'',,,'''....'',,,,,,,;,,'',,,,,;;codxxxxxxxxxxxxxdddddddddxddddddddddddxO0
	oooooooooooooooooooooooooddddoooodddooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddoollllc:::;;,,,,,,;;;,,,,,,,,,,,,,,,;;;;;;;,,,,,,,,,,,,,,;;;;;,,''';::::;;:::;;;:clllllllooddddddddddddddddddddddol;'',,'''''',,,'..         ...''''',,,;;;;;;;;,,'',,;;;;;;;;;,,'',,;;;;;,,'...',,,,,',codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc,'',,,,,'''',,,'.....'''',,,,'''',,,,;:codxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddxO0
	oooooooooooooooooooooooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddoollccccccccccc::::::::;;;;;::::;;:;:::::;;;;;;,;;;;;,,,,,,,,,'',;:cc:::ccc::::c:::::;:clloooddddddddddddddddoc:,.''''.'''',,''..             .....'',;;;;,,;;,'',;;;;;;;;;;,,',,,;;;;;,''..'',,,,,'':oddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc,''',,,,,,,,,,,,'.........'''''''''',:lodxxxxxxxxxxxxxxxxxxxxxddddddddddddddddxO0
	ooooooooooooooooooooooooooooooooooooooooooooooodddoooddddddddddddddddddddddddddddddddddddddddddddddddddollccccccccccccccccccccccccccccccccccccccccccc::::::;,,''..''....',;:cc::::cccc::::cc:;;;;::ccloooddddddddddol:;''',,,''',,,,,,'.                 ....',,;;;;;,'',,;;;;;;;;,,'',,,,;;;,,'',,''',,,'.';lddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc,'',,,,,,,;;;,,''...........',,,,'',:lodxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddxO0
	ooooooooooooooooooooooooooooooooooooooooooooooodddoooooddddddoodddddddddddddddddddddddddddddddddddddddoolccccccccccccccccccccccccccccccccccccccccccccccc:;,,''......'....',;:ccc:::cccc:::cccc:;;;;;;;::cloodddddddol;''',,;,,'',,,,;,'.      ....          ...',,;;;,'''',,;;;;;;,,'',;;;;,,,,,,,,,,''''''';codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdo:'.',,,,,,,,,,,,,,'''...'.....',,,',;lddxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddxO0
	ooooooooooooooooooooooooooooooooooooooooooooooodddddoooddddddodddddddddddddddddddddddddddddddddddddoooollccccccccccccccccccccccccccccccccccccccccccccc:;,'..'''...'',''''',;;::;;,,,,;:clcccclllc::::cc:::ccllooddolc,'',,;,,,'',,;;;;,..    .':cl:'.         ...'',,,,''',,;;;;;;,,',,;;;;,,'',,;,,,'..''',;codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddo:''',,,,,,,,,''''''.....'........',;codxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddxO0
	ooooooooooooooooooooooooooooooooooooooooooooooodddddddddddddddddooddddddddddddddddddddddddddddoollllllllcccccccccccccccccccccccccccccccccccccccccc::;,'....'''.....',''..'',;;,,,',;::clllcc:cclllccclllcccccccclllc:,'',;;,,''',,;,,;,'.     .;oOOxo:'.          ..''''',,,;;;;,'''',,;;,,,'',,;;;;,''',''';codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:,'',,,,,;,,,,,,,''..............';codxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddxO0
	ooooooooooooooooooooooooooooooooooooooodddddddddddddddddddddddodddddddddddddddddddddddddddddddollccccccccc::cccccccccccccccccccccccccccccccccc:::;;,'''...''''.....''....',,;;;,,,:cloooollc:;;;;::::::cccc::::c::;;,'',,;;,,''',,,,,;,'..     .ck0K0Oxl:'...       ....',,,;;,,'..',,;;;,,'',,,;;,''''''...':ldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc;,'''''',,,;;;;;,,''.............,:odxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddxO0
	ooooooooooooooooooooooooodddooooooooooodddddddddooooooooooooooodddddddddddddddddddddddddddddddollccccccccc:::ccccccccccccccccccccccccccccccc:;;,''''',,'..''''...',,''..'',,;;;;;;:loddddoollc:;,;;::::ccllcc:cccc;,''',,;;,,''',,,,,,,''..     'cx0KKK0Oxdoc,.        ..'',,,,''..',;;;,,'',,,,'''......  ..:ldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddl:;,''''''',,,,,,,,,''''''.........,coxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddxO0
	ooddddoooddddoooooooooooodddddoooooooooooooooooooooooooooooooooddddddddddoodddddddddddddddddddollllccccc:;;;:ccccccccccccccccccccccccccccc:;,'''''''''''..''.....',,,''',,,,,;;;;;:lodddddddddolccclllcccccllllllc:,',,,;;,,'''',',,,,,,''..     .:x00KKKKK0Okl;.       ..'',,,,,''',,,,''''''.....        .':odxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddlc;;,,'''',,,,,,,,,,,''.''..........,:lddxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddxO0
	ddddoooooooddoooooooooooooooooooooooooodddddddddooooooooooooooodddddddddddddddddddddddddddddddollllcccc:;,,,;cccccccccccccccccccccccccc::;''.'''''''''''''''.....'''''',;;,,;;;;;;:loddddddddddddooooolc:;;;:clllc;,'',,,,,'..'',,,;,,;;;;,..     .;ok0KKKKKK0Oxc'.     ..',,,;;,,,''.........             .,codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddl:;;,,,'.'',,,,,,,,,,,,,'.......  ...',:ldxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddxO0
	oodooooooooooooooooooooddoooooooooooooooooooooooooooodddooooooodddddddddddddddddddddddddddddddollllcccc:;,',;cccccccccccccccccccccccc:;,''...',,,,'''...''...'''''...';:::;;;;;;;;:coodddddddddddddddddolc:::cclol:,''''',,''''',,,,;;;;;;,'..      .:dkO0KKKKK0ko,.    ..',,,;;;,'...            .....    .;ldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddl:,,,,,'',,,,,,,,,,,,,,,,,,'...... ....';codddxxxxxxxxxxxxxxddxxddddxdddddddddddddddxO0
	ooooooooooooooooooooooooooooooooooooooooooooooooooooodddoooooooddoooodddddddddddddddddddddddddolllllccc:;,,,;ccccccccccccccccccccc::;,''''''...',,''''''''''''''''..';:c::;;;;;;;;:cloddddddddddddddddddddoolccccc:,''',,,,,,,,'',,,;;;;;;;,'..      ..;ldkkO00K0kl,.   ..',;;;;,'..       ...',;:cool:'  ..:oxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:,'',,'',,,,;;;,,,,,,,',,,,,'........''',;:lodxxxxxxxxxxxxxxxdxxddddddddddddddddddddxO0
	oooooooooooodddoooooooooooooooooooooooooooooooodddooooooooooooooddooooddddddddddddddddddddddddolllllcccc:::::ccccccccccccccccccc:;,''.'',,,'...''''..'''..''''''''',;:cc::;;;;;;;;:coddddddddddddddddddddddddoolc:;'.',,;;;;;;,,,',,;;;;;;;,,'...       .',;codkkdl'    ..',;;;,'.       .':ldxkOOO0Oo;. ..;ldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddl:,'''''',,;;;;;;;;;;,,,,,,;;,,'...''''''',,,;coddxxxxxxxxxxxxxxxxddddddddddddddddddddxO0
	oooooooooodddoooooooooooooooooooooooooooooooooodddooooooooooooooodooooddddddddddddddddddddddddollllcccccccccccccccccccccccccc::;,'''.''',''...''''''''...''''''...';:ccc::;;;;;;;;:lodddddddddddddddddddddddddddol:''',,,,,,;;;,,'',,,;;,,,'''''...         ...''...    ..',,,,'.     ..;lxO00KKKKOxl,.  .,lodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:;,,,'..',,;;;;;;;;;,,',,,;;;;,,'.',,,'',,;;;;:cldddxxxxxxxxxxxxxdddddddddddddddddddddxO0
	dddooooooooooooooodddddoooooooooooooooooooooooooooooodddoooooooooddddddddddddddddddddddddddddoollllcccccccccccccccccccccccc:;,''.'''''''''.......''''...'',,,'...';:cccc::;;;;;;;;:loddddddddddddddddddddddddddddo:,.',,,,,,,;;;,''',,,,'''',,,,,,'...                  ...',,'..    .:ok00KKKKKOxl;..  .':odxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddl:;,;;,''.'',;;;;;;;;;,,',,;;;;;;,''',;,,''',,;;;;:lodxxxxxxxxxxxxxdddddddddddddddddddddxO0
	ddddoooooooooooooodddoooooooooooooooooooooooooooooooooooooooooooddddddddddddddddddddddddddddddolllllcccccccccccccccccccccc;,''..'''''''''......'''''....'',,,''',;:ccccc::;;;;;;;;:loddddddddddddddddddddddddddddo:'.',,,,,,,,;,,,'''''',,,,;;;;;;,,,'....       .........''''..    .,oO000OOkxo:,..   .';lddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:;,,;;,,,,,,,,,,,,,,,,,''',,,,,;;,''''',,,,'',;;;,;:lodxxxxxxxxxxxxxddddddddddddddddddddxO0
	ddddddoooooooooddoooooooooooooooooooooooooooooooooooooooooooooooodddddddddddddddddddddddddddddolllllcccccccccccccccccccc:;,'.''''''''''...'''''''''...''''''''',;:cccccc::;;;;;;;;:loddddddddddddddddddddddddddddo:'.',,,,,,,,,,,'....',,;;;;;;;;;;;,,,''.....''''''''.'',,,''..    ..;cllc::;'.      ..;codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc:;,;;,,,,;;;;;,,,,,,,,,''',,,,,,;,,,''..',,;;;;cc;'',:lddxxxxxxxxxxxddxxxddddddddddddddddxO0
	ddddddoooooooooddoodddooooooooooooooooooooooooooooooooooooooooooooodddddddddddddddddddddddddddollllcccccccccccccccccccc:;,''''''''''.....''.''''''....'''',,'',;:ccccccc::;;;;;;;;:loddddddddddddddddddddddddddddo:'..'',,,,,,,,'''''',,,,,,;;;;;;;;,,,''''',,,;;;;,,''',;;;;,,......  ....         ...,clddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:,,,;;,,',,;;;;;;;;;;;,,,,,,,;;;;;;,,,,,,,,;::;;::;,,,;:lodxxxxxxxxxdddddxddddddddddddddddxO0
	oodddooooooddoodddddooooooooooddooooooooooooooodddooooooooodddodddddddddddddddddddddddddddddddollcccccccccccccccccccccc;,''''''''''.....''..'''''....''''',,'';:cccccccc::;;;;;;;;:loddddddddddddddddddddddddddddo:'...',,,,,,''',,,,,,,'',,,,;;;;,,,'''',,,;;;;;;,,'',,,;;;;,,''','.....      ....',,,;ldddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc:;;,;,,,',,,;;;;;;;;;;;,,,,,;;;;;;;;;,,;:::;;::;;;;;;;;;,:ldddddxxxxxxxddddddddddddddddddddxO0
	ooddoooooodddoooodddooooooooooooooooooooooooooodddodddooooooooooddddddddddddddddddddddddddddddollcccccccccccccccccccc:;,'.''''''''....'''''''''''...'''''''',;:ccccccccc::;;;;,,,;:loddddddddddddddddddddddddddddoc,.'''',,,,'',,,;;;;,,,,'',,,,;,,'''',,;;;;;;;;,,,'',;;;;;;,,'',,,,,,''....'''',,,,,,:ldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:,,;;;,,,,,;;;;;;;;;;,;;,,',;;;;;;;;;;,,;:ccc;,,;:;;;:;;,',:looooddddddddooooooodddddddddddoxO0
	ooodoooooodddooooooooooooooooooooooooooooooooooddoodddooooooooooooddddddddddddddddddddddddddddollccccccccccccccccccc:;,''''''''''...'''''''''',,'...'''''''',:cccccccccc::;;;;;;;;:loddddddddddddddddddddddddddddoc,''''''',,,,,;;;;;;;;;;,,'',,''''',,,,;;;;;;;,,'',,,;;;;;;,,'',,;;;;;,,''',,;;;;,,,;codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:;,,;;;,,,,;;;;;;;;;;;,;;,'',;;;;;;;;;;;;;;:cc;'',,,'''''...;:ccccccccclllccccccccccccccllllloxO
	ooooooooooddoodooooooooooooooooooooooooooooooooddoooooooooooooooooodddddddddddddddddddddddddddollllcccccccccccccccc:;,''''''''''''''''....''''''''''',,,''',;:cccccccccc::;;;;;;;;:clooddddddddddddddddddddddddddoc,''''..'',;;,;;;;;;;;;;;;,,''..'',,;;;;;;;;;;,,'',,;;;;;;;,,'',,;;;;;;,,'',,;;;;,,;:coxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc:;,;;;;,,,;;;;;;;;;;;;;;;;,'',;;;;;;;;;;;,,,;:c;'..'',,'''..',;::::ccccccccccc::;;:cccccccccccldk
	oooddoooooddooodddooooodddoooooddddoooddddddddoooodddoooooooooooodddddddddddddddddddddddddddddolllllcccccccccccccc:;,''''''''''..'''''...'''''''''''',,''',;:ccccccccccc:;;,,,,''',;:clooddddddddddddddddddddddddoc,'''...',,;;;;;;;;;;;;;;,,,'''''',,,,,,;;;;;;,,',,;;;;;;;;,,'',,;;;;;;,,''',,;;,,,;:lodxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:;,,;;;,,,,;;;;;;;;;;;;;;;;,'',;;;;;;;;;;;,,,;:c:,...,;;,'',;;,;;:::ccccccccccc:;;;:cccccccccccldx
	oooooooooooooooooooooooddddddooddddooddddooddoooooododdddddddoddddddddddddddddddddddddddddddddolllllcccccccccccccc:,''''',,,'''..''''...'''''''''''',,,''';:ccccccccccc:;,'''''''''',,;:cloddddddddddddddddddddddoc;'''''''',,,;;;;;;;;;;;,,'',,,,,,,,,,,,,,,;,,,'',,;;;;;;;;,,'',;;;;;;;,,,'',,;;,,',;:clllodddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc:;,,;;;,,',,;;;;;;;;;;;;;;,,,,,,;;;;;;;;;;;,,,;:c:,'..',;,,,;::,,;:::ccccccccccc:;;:ccccccccccccldx
	ooooooooooooooooooooooodddddddodddddddooodddddoooddddddddddddodddddddddddddddddddddddddoooodddollcccccccccccccccc:;,''',,,,,'''''''''....',,,'''.'',,,,,'';:ccccccccc:;,'''''''''''''''',:lddddddddddddddddddddddol;''',,,,''',,,,;;;;;;,,,,,,,;;;;;,,,,,''',,,''',,;;;;;;;;,,,'',;;;;;;;;,,''',,,''.';:cc::clooolllloodddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddl:,',,;;,,,,,,;;;;;;;;;;;;;;,,,,,,;;;;;;;;;;;,,,;:c:,'...',;;;;;;,,;;:::cccccccccc:;;;:cccccccccccldx
	ooooooooooooooooooooooodddooooodddoooooooodddooddddddoodddddddodddddddddddddddddddddddddoooodoollccccccccccccccc:,''''''''''''''''''''..',,,,,'..'''',,''';:ccccccc:;,'.''''''''''''''.'';lodddddddddddddddddddddoc;''',,;;,,,',,,,;;;;,,'',,,;;;;;;;;;;,,,,'''.'',,,,,,,,,,,,''',,;;;;,,,,,'''',''..,:cllcccccccccc::cclloooddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddl:,''',,,'',,;;;;;;;;;;;;;;;;,,,,,;;;;;;;;;;;;,,,;:c:;'...';:;,,,,',,;::ccccccccccc:;;;:cccccccccccldx
	ooooooooooooooooooooooooooooooodddoollclloddooooddddodddddddddddddddddddddddddddddddddddddooodollcccccccccccccc:;'.'''''''''''',,,,,,'',,,,,,,,'''''',,''';:cccclcc;''..'''''''''''''',;:coddddddddddddddddddddddl:,''',,;;;;,,,,,,,;,,,'',,;;;;;;;;;;;;;;;,''...',,,,,,,,,''''''',,,,,,,,,'...'''''',clllccc::ccllllc:::::ccclllooloooddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxddl:,',,,'''..',;;;;;;;;;;;;;;;;,'',;;;;;;;;;;;;;,,,;:c:;'..',;:;,,,,,,;:::ccccccccccc:;;;:cccccccccccldx
	ooooooooooooooooooooooooooooooodddoolc::loddoooodooooooddddddddddddddddddddddddddddddddddddddoollcccccccccccccc:,''',,'''''',,,,,,,,,,,,,,,,,,,,,,,,,,,''';:clllc:;,'''''''''''''''',;clooddddddddddddddddddddddoc;,''',,;;;;;,,,'',,,,'',,;;;;;;;;;;;;;;;;,,''',,,,,,,,,,,''....'',,,,,,,''...''''',;:ccc:::cccccloollc::cccc:::::::;::cclllllloodddddddddddddddddddddddddddddddddddxxxxxxxxxxxdddxxxxxxxxdl:,',,;;,,'..',,;;;;,,;;;;;;;;,,'',;;;;;;;;;;;;;,,,,:c:,''',;;;;,,;;,,;;::ccccccccccc:;;;ccccccccccccldx
	ooooooooooooooooooooooooooooooodddoolc::loooddoodoooooodddddddddoddddddddddddddddddddddddddddoollccccccccccccc:;,''''''''''''''''''''''''',,,,,,,;;;;,,''';:cccc:,'''',''''''''''',;:loddddddddddddddddddddddddoc;,,,'',,;;;;;;,,,''''',,,;;;;;;,,,,;;;;,,,,,,,,,;;;;;;;;;;,,''',,,,,,,,;,,,''',,'';:ccc::::::cllllloooolllllllcc:::;;;;;:::::::cclllcccccccc:::ccllloooolllloooooooooddddddddddddddddddxxdoc;,,,;;;,,''''',,,;;;,;;;;;;;;;,'',;;;;;;;;;;;;,,,,,:c;,'''',;:;,,,,,;;::cccccccccccc:;;;ccccccccccccldx
	ooooooooooooooooooooooooooooooooddoolc::clooddoodooooooodddddddooddddddddddddddddddddddddddddoollccccccccccccc:;'...''''''''''',,,,,,,'''''''''',,,,,''''';:::;;'...'''''''''''''';coodddddddddddddddddddddddol:,'',,,'',,;;;;;,,,'..'',,;;;;;,,,,;;;;;;,,''',,;;;;;;;;;;;;,,'',;;;;;;;;;;,,,'',,,;coooooolllccllc:::clllllcccclllllccccccccccccclllccccllllc:;;;;:cclcc::;;::cccc:::ccccccclllllllllloooooc;,,,;;;;,'',,,,,,,,,,,,,;;;;;;,''',,;;;;;;;;;;,,,,,,::;'.''',;:;,'.',:::ccccccccccccc:;;;ccccccccccccldx
	oooooooooooooooooooooooooddoodddoollc::::cloddodddddooddooooooooooddddddddddddddddddddddddddddolcccccccccccccc:,''.',,'''',,,,,,,,,,,,,,,,,,,,''''''''....'''''...''''''''''..'',,:loddddddddddddddddddddddooc;''',,,,,'',,;;,,,,''''''',,,;;;;;;;;;;;;;,,''',;;;;;;;;;;;;;,,'',;;;;;;;;;;;,'..';:loddxxxdddddoooollllllllllcccclooollcc::::cclloolllccccclllllllccc::cccllcc::::::cllllllcc::::::::cccc:;,'''',,,,,,'',,;;,,,,''',,,,;;,,''..',,,;;;,,,,,,,,,',,,'..''',;;,'..';:c:ccccccccccccc:;;:ccccccccccccldx
	oooooooooooooooooooooooooddoodddoolcc::;;:coddddddddoddddoooooddooooooooddddddddddddddddddddddolcccccccccccccc:,'''''''''',,,,,,,,,,,,,,,,,,;,,,,,,,,''.......'''''''''''''...',,;:clodddddddddddddddddddolc;,'''',,;;,,'',,;;,,,'',,,,,,,,,,,,;;;;;;;,,,''',,;;;;;;;;;;;;,,,',,;;;;;;;;;;;,'.',:ldddxxxxxxxxxxdddddddooooooollcccccc:::;;:::ccccccllclcccllllooooollllllccclcccccllooooooollllc:;;;:ccc:,'...'',''''..',,,,,,,,'',,,,,,,,''.'',,,,,,,,,,,,,'......'',;,,;;,'',;:cc:ccccccccccccc:;;:ccccccccccccldx
	ooooooooooooooooooooooooooooooddoolcc:;,,;coddddooooodddoooooooooooodddoodddddddddddddddddddddolcccccccccccccc:,,''''',,,,,,,,,,,'''''''''',,,,,,,,,,,,'''..',,,,''''''''...',,;;;:clodddddddddddddddddolc;'..',,'',,;,,'',,,;,,,,,,;;;;;,,''',,,;;;;;,''',,,;;;;;;;;;;;;,,'',,,;;;;;;;;;;,,'.':lddxxxxxxxxxxxxxxxxxxxdddddddddoollcccc::::ccccc::::cllllcccccllloooooolccccclloooollcccllooooolc::::cccc;'''''''........'''''''''',''',,'...'',,,''''''''''.....'',;::;,;;,',:ccc:::cccccccccccc:;;:ccccccccccccldx
	oooooooooooooooooooooooddddoooddoolc::;,,;cloodddddddddddddddddddddddddddddddddddddddddddddddoolcccccccccccccc:,'',,,,,;;;;;,,,,,,,,,,,'''''''''''''''''''''',,,,''','''....,;;;;;:clodddddddddddddoolc:;'...',,,''',,,,'''''''',,;;;;;;;;;,,,,,,,,,,,,'',,,;;;;;;;;;;;;;,,',,;;;;;;;;;;;,,''';lddxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddooooooooooollccccccc:::cccccllllcccllllllccllcccccc::ccclllllllcc::;,''',,''...............'''''..''......''''.............',,,,;;,,',,;:cccc:;;:ccccccccccc:;;:ccccccccccccldx
	ooooooooooooooooooooooodddddodddollcc:;;,,:loodddooooolllllllllllllooooooooddddddddddddddddoooolcccccccccccccc:,''',,,,,,,,,,,,,,,,,,,,,'''''''''''''''''''''',,,''''''...',;:::;;:cloooddddddddoolc:;,'...',,;,,'''''''''''..'',,;;;;;;;;;;;;,,,,,,,'''',,,,,,,,,;;;;;;;,,',,;;;;;;;;;;;,'',:lodxxxxxxxxxxxxxxxxxxxxxxxxxxdddddxxxxdddddddddddddddoooollllllllcllllcccllooollcc:::clloolc:;:clllllccc:,'...',,,''...'','''''''''''''..................''........',,,,,,,,;::ccccc:;;:ccccccccccc:;;:ccccccccccccldx
	ooooooooooooooooooooooodddddddddolcccc:;,,;clooollc:::;;;;;;;;;;;;;;:::::ccllooooddddddooooollllcccccccc::::c:;''''''''''''''''',,,,,,,,'''',,,,,,,,,,,,,,,,,,,'''''''...',::::::;;:::ccllooooolc::,,''''',,,,,,,''..'',,,,'..',,;;;;;;;;;;;;;;;;,,''..',,,,,,,,,,,,,,,,,,'',,;,,,,,,,,,,,',:lddxxxxdddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddoooooooddddddooollllllcccc::,.....'''''...'''''''''''''''''',''.....''''''''''''......',,,,,;;:cccccccc:;;:ccccccccccc:;;:ccccccccccccldx
	ooooooooooooooooooooooodddddoodoolcccc:;,',:ccc:;,,'''..'''.'',,,,,'''',,,,,;;:ccllooooolllccccc:::;;;;;,,,,,,'...'',,,'''''''''''',,,,'''''',,,,,,,',,,,,,,,,,''''''...'',,,,,''''''',,,;;::;;;,,'''''',,,;,,,,,'...',,;;;,''',,;;;;;;;;;;;;;;;;,,'''',,,;,,,,,,,,,,,''''''',,,''',,,,,',;:ldxxxxxddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddxxxxxxxxxxddddddddddddolc,'',,'''''..'''''''',,,'''''''''''....''''''''''','''....,,,'',;:cccccccccc:;;:ccccccccccc:;;:ccccccccccccldx
	ooooooooooooooooooooooooooddooddolcccc:,'..'',''''''..''''''''',,,,''',,,,,,,,,,,,,;::ccc::;;;,,,,'''',,,,,,,''..'',,,,,,,,,,,,,,,,,,,''..'''''''''''''''''''''''''...'',,,,,,''''''',,,,,,',,,''....',,,,,,,,,,'....',,;;;;,,'',,;;;;;;;;;;;;;;,,,'',,,;;;;;;;;;,,,,,,''...'',,,,,,,,,,,;coddxxxxxddddxddxxxxxxxxxxxxxxxddxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxxxxxxxxddddxxxxxxxxxxxxxxxxdl:,'',,,;,,''',,,'''''''''''''''''''.....',,,''''''''''..',;::::cccclllcccccc:;;:ccccccccccc:;;:ccccccccccccldx
	ooooooooooooooodddddddddddodooodolc:::,'....''''''''''',,,,,,,,,,',,,,,;,,,,,,,'''''',,,'''''',,'''''',,,,,,'''''',,,,,,,,,,,,,,,,;;;,,'''',,,,,,,,,,,,,,,,,,''''....',,,,;;,,,,,,,,,,,,,,,,''''''..'',,,;;,,,''''''''',,;;;;,'''',,;;;;;;,,,,,,,''',,,;;;;;;;;;;;;;;;;,'''',,,;;;;;,,,;cloddxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxxxxxxxxxxxdoc,'''',,;;,,,,,;,,,,,,,,,,,,,,,,,,''....',,,,'''',,,,,''',;:cccccllllllllcccc:;;:ccccccccccc:;;:ccccccccccccldx
	oooooooooooooooddddddoodddoddooolc:;,,,''''''''''''',,,,,,,,,,'''',,,,,,,,,,,,''',,,,''''''.'''''',,,,,,,,,''....'','''''',,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,''...',,;,,,,,,,,,,,,,,,,,,,,''',,,''''',,,,'''',,,,,,,,,,,,;;,''''',,,;;;;,,;,,,''',,,;;;;;;;;;;;;;;;;;,'',,;;;;;;;;;;:coddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxddl;'',,,,,,,'',,,;;;;;;;;;;;;;;;;,,,,,'..',,;,,,,,,,,;;,,,,;:cccccccccclllllccc;;;:ccccccccccc:;;:ccccccccccccldx
	ooooooooooooooodddddooddooddoolc;,''''',,,,,''''',,,,,,,,,,,,,,,,,,,,,,;;,,,''',,,,,,,,,,,,,'''''''',,,''''.....'',,,''''''',,,,,,,,,'''..''',,,,,,,,,,,,,,,,,'''.'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''','''',,;;;;,,;,,',,,,,''',''',,,;;,,;,,,',,;;;;;;;;;;;;;;;;;;;,,'',,;;;;;;;;:clodxxxxxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddooc;,,,;;,,,'''',,;;;;;;;;;;;;;;;;;;;;,'.',;;;;;;;;;;;;;,,',;:cccccclcccllllcccc:;;:ccccccccccc:;;:ccccccccccccldx
	oooooooooooooooddddooddddoooc:;'...',,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,''''........'',,,;;,,,,,,,,,,,,,,,,'''..'''',,,,,'''''''''''''''',,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''..'''',,,;;;;,,;;,,'',,'',,,,,,''',,,,,,,,,,,;;;;;;;;;;;;;;;;;;;,,'',,;;;;;;,;:coddxxxxxxxxxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddoollllllllllllllollc:;,,;;;;;,,'''',,,;;;;;;;;;;;;;;;;;;,'.',;;;;;;;;;;;;;;,',;:ccc:cclllllllcccc::;;:ccccccccccc:;;:ccccccccccccldx
	ooooooooooooooodooooooooolc:,....'',,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,''..''...'',,;,,,,,,,,,,,,,,,,,,,,''''''',,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'....',,,,,,,,,,,;;,,'''''',;;;;,,,'''',,''',,;;;;;;;;;;;;;;;;;;;;,'',,,;;;;;;:cloddxxxxxxxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddolllllllllllllllllcc;,,,,;;;;;,,'',''',,;;;;;;;;;;;;;;;,,'..',;;;;;;;;;;;;;,'',;cccccccccclllcccccc:;:ccccccccccc::;;:ccccccccccccldx
	ooooooooooooooooooooooolc;'....'',,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,''',,,;,,,,,,,,,,,,,,,,,,,,,'''',,'..',,,,,,'''''''''''''''''''''''''',,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,'''....'',,,,,,,,,,;;,,''..'',,,;;;;;,,'''...',;;;;;;;;;;;;;;;;;;;;,,'',;;,,;;;cloddxxxxxxxxxdddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddolllllcclllccllcllcc:,,,,;;;;;;,,,,,,,'',,,,;;;;;;;;;;;,,'...',;;;;;;;;;;;;;,'.':ccccccccccccccccccc::ccccccccccccc:;;:ccccccccccccldx
	ooooooooooooooooooooolc;,.....',,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,,,,,,,,,,,,,,'''',,'..'''''',,,,,,,,,,,,,''''''''....'''',,,,,,',,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,'''',,,,,,,,;,,,'''''''',,;;;;;,,'....',,,,;;;;;;;;;;;;;;;;,,''',,,,;;:loddxdddddddooooollccccccclllloooooddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddooooollclllllllllcllllccc;,',;;;;;;;;,,,;;,,,,',,,;;,,,,,,,,,'....',;;;;;;;;;;;;,,'',:cccccccccccccccccccc:ccccccccccccc:;;:ccccccccccccldx
	ooooooooooooooooooolc;,'.....'',,,,,,,,,,''..'',,,,,,,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,,,,,,,,,,,,,,'''',,'''''''',,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,;;;;,,''',,,,,,,,,,'',,,,,,,,,,,,;,,'''''''''',,,,;,,,;;;;;;;;,,'''',,;;:cloddddooollcc:;;;;;;,,,,,;;;;;;;;::::ccclloodddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoolllllcclllllllllcllllc:;,'',;;;;;;,,,;;;;;;;,,,,,,,''',''',,'..'',,,,,,;,,;;;;,''.';:ccccccccccccccccccc:::cccccccccccc:;;:ccccccccccccldx
	oooooooddoooooooolc;,'.......',,,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,,,,,,,,,,,,,''''',,,''''',,,,,,,;;;;,,,,,,,,,,,,,'',,,;;;;;;,,,,,'''',,,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,'''',,,,,,,'',,,;;;,,,,,,,,,,''',,,,,,,'''''''',,,,,,,,,''...',:clloooolc::;;;;;;,,,,,,,,,,,,,,;,,,,,;;;;;;;;;;:ccllooddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoolcccccccclllcllllllllc:,''',;;;;;,,,,;;;;;;;;;;;;,,,,,,,,,,,,''',;;;,,,,,'',,,''.',:ccccccccccccccccccc::;:cccccccccccc:;;:ccccccccccccldx
	oooooooooddooddooc,'.........',,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,,,,,,,,,,,,,''''''',,,'''',,,,,,,,,,,,,,,,,,,,,,''',,,,,,,;,,'''''',,,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,'',,,,;;;,,,,;;,,''''',,;;;;;,,,,''.'''''''''''.....',:ccc::::;;,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,;;;;::cclloddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoolc::;;:ccclllllllllllc;,..',,;;;;,,,,;;;;;;;;;;;;;;;;;;;;;;,,'',,;;;;,,,,,,,,,,'.';ccccccccccccccccccccc:::cccccccccccc:;;:ccccccccccccldx
	ooooooooodddddool;'..........',,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,''''''',,,'''',,,,,,,,,,,,,,,,,,''''''',,,'''''......',,,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,,,''',,;,,,,,,,,;;,,'...'',,,,;;;;;,,''',,,,,,,,''....'',,;,,,,,,,,,;;;;;;,;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,;;::clodddxxxxxxxxxxxxxxxxxxxxxxxxxxxddollc:;;,;:cclllllllllllc;'..'',,;;;,,,,;;;;;;;;;;;;;;;;;;;;;,,''',;;;;;;;;;;;;;;,'.,:clccccccccccccccccccc::ccccccccccccc:;;:ccccccccccccldx
	oooooooooddoddolc;'.........'',,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,'''''',,,,''''',,,,,,,,,,,,'''''''''''...............'',,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''','''',,;;,,,,,,,,;;,,''.''''',,,,,,,,'',,;;;;,,,,,,'''',;;,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,;;;,;;;;;;;;;;;;::clloddddxxxxxxxdddddddddddddoooollcc:;,,;:ccclllllllcccc;'',,''',,,,,,;;;;;;;;;;;;;;;;;;;;;;,,',,,;;;;;;;;;;;;;;,'',cllcccccccccccccccccc::::cccccccccccc:;;:ccccccccccccldx
	oooooooooooooooc;,..........',,,',,,,,''''',''..'',,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,''''''''',,,'''''''',,''''''''''''''.....................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'...''',,,,;;;,,,,,;;;,,''',,,''''',,,''''',,,,,,,,,,'''',,;;;;;;;;;;;;;;;;;;;;;;,,,,,;;;;;;,,,,,,,;;;;;,,;;;;;;;;;;;;;;;;;;;;::cloodddooolllllcccccccc:::::::;;,,''',;;::::::::ccc:,'',,,,,'''',;;;;;;;,,,,;;;;;;;;;;;;,'',,;;;;;;;;;;;;;,,,'';cllcccccccccccccccccc:;;;:ccccccccccc:;;::cccccccccccldx
	oooooooooooooooc;'...........''''''''''''''''....'''''''''''''''''''''''''....''',,,,,,''''',,,,,,,'''''''....''''''''..'''..''''''''..........................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,'.....''''',,,,,,,,,,,,,''',,;,,,,,,,,'...'''',,,,,,,''..',,;;;;;;;;;;;;;;;;;;;;;;,,,,,,;;;,,,,,,,;;,;;;,,,,;;;;;;;;;;;;,,;;;;;,,,,;:::::::;;,,,,,,''''''''',,,,,'''''''''''''',,;;;;,'',;;,,'...',,;;;;;;,,;;;;;;;;;;;;,,'',;;;;;;;;;;;;;;,'',;:cllcccccccccccccccccc:;;:cccccccccccc:;;::cccccccccccldx
	oooooooooooooooc;'...........''''''''''''''''''...'''''''''''''''''''''''''......''''''''''''''''''''''''''......',,,''''''''''''................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''',,,''''',,,,;;,,,'',,,;;;,,,;;,,'''',,,,,,,;;;;,'..'',,;;;;;;;;,,,;;;;;;;;,,,,;;;;;;;;,,,,,;;;;;;;;,,;;;;;;;;;;;;;;,,;;,,,''..''',,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,,'''''.',;;,'.....',,,;;;;;;,,;;;;;;;;;,,''',;;;;;;;;;;;;;,,'',:ccllcc::cccccccccccccc::::cccccccccccc:;;:ccccccccccccldx
	oooooooodooooooc;,...........''''',,,,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''',,,,,''''''.......................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,''',,,;,,'',,;;;;,,,,;;,,'',,,;;,;;;;;;;,'..',,,,,,,,;,,,,,;;;;;;,,,,,,,;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;,,,,,,,,;;,,'..'''''',,,,,;;;;;;;;;;;;;,'',,,;;;;;;;;;;;;,,'',:cllllc:;:cccccccccccccc:::cccccccccccc::;;:ccccccccccccldx
	oooooooodooooool:,'..........'',,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,;;,,,,,,;;,,,,,,,,,,,'''''...'............................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,,,,''',,,,'',,;;;;,,,,,;;,,',,;;,,,;;;;;;;,'..',,,;;,;;;;;,,;;;;,,,,,,,,,,,;;;;;,,,,,,''''''''''''''''''''',,,,,,,,,,,,,,,,,,,,'''''''''''''''''''''''''''''',,,,,,;;;;;;;;;;;,,'''',,,,,,''''',,,,;;;;;;;;,,'',;;;;;;;;;;;;;;,',;:cclllcc:;:cccccccccccccc:::ccccccccccccc:;;:ccccccccccccldx
	ooooooooooooooool:,..........'',,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''....................................................',;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,;,,,,,,,,,,,''.'''',,,;;,,,;;;;,,,,,,,;,,,,,,,;;;;,'.',,;;;;;;;;;;;;;;;,,,,,,,,,,,,,,'''''''''''''''',,'',''''''''''''''''''''''''''''''''''''''''''''''',''''''''''''''''',,,'',,,,,,,''',,,,,,,,,'''''''',,,,;;;,,,',,;;;;;;;;;;;;,,'',:clllllcc:::cccccccccccccc:::ccccccccccccc::::ccccccccccccldx
	ooooooooodooooddoc:,'.........''',,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,;;,,,,,,,,,'''''''''''''......................................................,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'....',,,,,,;;;;;;,,',,,;;;,,,,,,,,,,,'.',;;;;;;;;;;;,;,,,,,,,,;,,,,''''''''''',,''',,,,,,,,,,,,''',,'''''''''''''''''''''',,,,,,,,'',,,,,,,,,,,,'',,,,''''''',,''''',,,''..',,,,,,,,,,,,'''''''''''''''',,;;;;;,;;;,,''..';:clllllccccccccccccccccccc:::ccccccccccccc:::cccccccccccccldx
	ooooooooooooooddoolc;,'........'',,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,'''''',,,,,,,,,,'''''''''''''''''.........................................................'',,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,...'',,,,,,,;;;;;,'',,;;;;;;,,,,,,,,'..',;;;;;;;;;;,,,,,,,,,,,,,''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''.''',,,,,,,,,,,,,,,,'''''''....''''''''''',''...';:ccccclcccc:ccccccccccccccc:::ccccccccccccc:::cccccccccccccldx
	ooooooooooodoooddooolc:,'.......'',,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''''''''',,''''''''.............................................................',,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.',,,,,,,,,,,,,,,'',,;;,,,,,,,,,,,,'..',;;;;;;;;;;,,,,,,,;;;,''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,''''''''''''''''''''''.',:cllcccccccccccccccccccccccc:::ccccccccccccc:::cccccccccccccldx
	oooooooooooooodooooooolc:,'.......'',,,,,,,,,,,,'''''',,,,,,,;;,,,,,,,,,,''''''''...''''''''',,,,,,''...................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,''''',,,,,,,,,,,,;;;;,'.',;;;;;;;;,,,,,,,;;;,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..',:clllllllcccccccccccccccccccc:::ccccccccccccc:::cccccccccccccldx
	oooooooooooooodddoooooool:;,'......',,,,,,,,,,,,,''''''',,,,,,,,,,'''''''''''..'''''''''''''''''''......................................................................'',,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,,,'...'',,,,,;;;;;;;;;;,,'',;;;;,,,,,,,,,,;;,,,'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.',:cclllllllcccc:ccccccccccccccc:::ccccccccccccc::::ccccccccccccldx
	ooooooooooooooddddoooooolcc:;,'......''',,,,,,,',,,,'''''''''''''''''''''''''',,,,,,,,''.................................................................................',;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,;,,'...',,,,,,;;;;;;;;;;,,',,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',;:cccclllllcccc:ccccccccccccccc:::ccccccccccccc:;;:ccccccccccccldx
	oddoooddoooooooooooooolllccccc:;,''...'',,,,,,'''''','''...'....''''''''',,,,,,,,,,,,,''.................................................................................',,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,;;,''',,,;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,''...'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''..';::::cccccccccccccccccccccccccccc:::ccccccccccccc:;;::cccccccccccldx
	ooooooddoooooooooooooollccccccccc::;,,''''''''''''''',,,,''''''''''',,,,,,,,,,,'''''......................................................................................,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,'',,;;;;;;,,,,,,,;;;;;;;;;,,,,,,,,;;;;,,'''',,,,,,,,,,,,,,,,,,,,,,,,,''..''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.',;::::cccccccccccc:cccccccccccccccc:::ccccccccccccc:;;:ccccccccccc:ldx
	oooooooooooooooooooooolcccccccccccccc:;,'.....'',''',,,,,,,,''''''''',,,,,,,''............................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',;;;;;,,,,,,,,,,,,,;;;;;;;,,,,;;;;;,,'''',,,,,,,,,,,,,,,,,,,,,,''''..'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''';:cc:::ccccccccccc::ccclcccccccccccc:::ccccccccccccc:;;:ccccccccccc:ldx
	ooooooooooooooodooooolcccccccccccccccc:;,'.....''',,,,,,,,,,,,''''...'''',,,'.............................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,'',;;;;;;,,,,,,,,,,,,,,;;;;;;,;;;;;;,''.'',,,,,,,,,,,,,,,,,,,,,,''...'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.',;:ccc::ccccccccccc:::cccllccccccccccc::cccccccccccccc:;;:cccccccccc::ldx
	dooooooooooooooddoooolccccccccccccccccc:;,'''...''''''',,,,,,,,,,'.....'',,;,,,,,;;;;;;,,,''...............................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,;,,'',;;;;;;,,,,,,,,,,,,,;;;;;;;;;;;;;;,'..',,,,,,,,,,,,,,,,,,,,,,'''.'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''...';:cccc:ccccccccccccc:::cclcccccccccccc:ccccccccccccccc:;;:ccccccccccccldk
	ddooooooooddooooooooolccccccccccccccccc:;''''''''.......''''''''''.....',,;;;;;;;:ccllccc:;,'..............................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,,,,'',;;;;,,,,,,,,,,,,,,,,;;;;;;;;;;;;,,'.',,,,,,,,,,,,,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'....';:clccc:ccccccccccccc:::ccccccccccccccc::cccccccccccccc:;;:ccccccccccccldk
	odooooooooddoooooooollcccccccccccccccc::,'''''''''''''..............'''''''''''',,;:ccccc:,'...............................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',;;;;,,,,,,,,,,,,,,,,,,;;;;;;;;;,,'''',,,,,,,,,,,,'''',,,''..'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''....,:clllcc:ccccllccccccc:::ccccccccccccccc:::ccccccccccccc:;;:ccccccccccccldx
	ooooooooooddoooooooolcccccccccccccccc::;,'''''''''''''''''''''''''''''''''''''''''',;::::,'...............................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',;;;,,,,,,,,,,,,,,,,,,,,;;;;;;;;,''''',,,,,,,,,,,''..'''''.'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''...';cllllcc:cccclllcccccc:::cccccccccccccc:::cccccccccccccc:;;:ccccccccccccldx
	oooooooooooooooooooolccccc::cccccccccc:;,'''''''''''''''''''''''''''''''''''''''''''',;;,'................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'.'',,,,,,,,,,,''.......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..';:cllllcc:cccccccccccc::::ccccccccccccc::::cccccccccccccc::::ccccccccccccldx
	ooooooooooddoooooooolcccc:::cccccccccc:;,'''''''''''''''''''''''''''''''''''''''''''''''..................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,;,,,'..',,,,,,,,,,,''.......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''..,;:cllllccccccccccccccc::::ccccccccccccc::;::ccccccccccccc::;:ccccccccccccldx
	ooooooooooddooooooolccccccc:::ccccccc::;,'''''''''''''''''''''''''''''''''''''''''''''....................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,;,,'...',,,,,,,,,,'''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''''''....',:ccllllccccccccccccccc::::ccccccccccccc::;::ccccccccccccc:;;:ccccccccccccldx
	ooooooooooodooodooolcccccc::::::ccc:::;;,''''''''''''''''''''''''''''''''''''''''''''.....................................................................................,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,,,,,,,,,,,,,,;;,,,,;,,'..'',,,,,,,,,'''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''...............'',;:cllllccc:cccccccccccc::::ccccccccccccc::;::ccccccccccccc:;;:ccccccccccccldx
	ooooooooooooooooooolccccc::;;;;;;;;;;;,,,''''''''''''''''''''''''''''''''''''''''''''.....................................................................................,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,;;;;;;;;;;;;;;;,,,,;,,'''',,,,,,,,,''.....''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''.......'''',,,,''',,,,,,;:cclccccc:ccccccccccc:::::ccccccccccccc::;::ccccccccccccc::::ccccccccccccldx
	lllllllollllollllllcc:cc::;,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''....................................................................................',,,;,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,;;,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;,,,,,,,,,;;;;;;;;;;;;;;;;;,,;,,'',,,,,,,,,,,'.....'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''...'''''',,;;;;::ccc::;;,,,,,,,;:cccccc:::cccccccccc:::::ccccccccccccc::;::ccccccccccccc::::ccccccccccccldx
	ccccccccccccccccccccc::::;,,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''...................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,;;;,,,,,,;;;;,,,,,,;;,,,,,,,,;;;,,;;;;;;;;;;;;;;;;;;;;,,''',,,,,,,,,,''....'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''''',,;:::ccccccccccclcc:;,,,,,,,,;:ccccc::;:ccccccccccc::::ccccccccccccc::;::cccccccccccc::;;:ccccccccccccldx
	::::cc::::::::::::c::::::;,,'''''''''''''''''''''''''''''''''''''''''''''''''''''''.....................................................................................,,,,;,,,,,,,,,,,,,,,,'''''''''........',,,;;;;;;;;;;;;;;;;,,,,,,,,;;;;;,;;;;;;;;;;;;;;;;;;;;;;;;;,,'''',,,,,,,,,''....',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''...'''''',;;:::ccccccccclllllllllcc::;,,,,,,,,;:ccccc:;;;:ccccccccc:;;::ccccccccccccc::;::cccccccccccc::;;:ccccccccccccldx
	ccccccccccc:::c:::::::c::;,,'''''''''''''''''''''''''''''''''''''''''''''''''''''''....................................................................................',,,,;,,,,,,,,,,,,,,,,''''',,,''''''.....'',,,;,,,,,,,,;;;;,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;,'''',,,,,,,,,''...'',,,,,'''......''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''''',,;;::::ccccccccccccccllllclllllccc:;,,,,,,,;:cccccc:;;:cccccccccc:;;:cccccccccccccc::;::ccccccccccccc:;;:ccccccccccccldx
	ccccccccccccccc::::::::::;,,'''''''''''''''''''''''''''''''''''''''''''''''''''''''...................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'......',,,'......',,,,,,,,,,'..........',,;;;;;;;;;;;;;;;;;,,'..',,,,,,,,''....''''...........',;::;;;;;;;::;;;;;,,''''''''''''','''''',,,'''''''''..''''...''''''''',,,;;;;:::cccccccclllcllcccccccllllllcccclcc:;,,,,,,,;:cccccc:;;:cccccccccc:;;:cccccccccccccc:;;:ccccccccccccc::;;:ccccccccccccldx
	ccccccccccccccc::::::::::;,,'''''''''''''''''''''''''''''''''''''''''''''''''''''''..................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,'''''''''',,,,,''........      ..'',,''................'',,,,;;;;;;;;;;;,,'...',,,,,,,''......''..''''''''',;loddddddddddddooooool::::::;,'.............................'',,;;;;::::ccccccccllllllllllllllclllccccllllllcccclcc:;,,,,,,,;:cccccc:;;:cccccccccc:;;:cccccccccccccc:;;:cccccccccccc::;;::ccccccccccccldx
	ccc::ccccccccccc:::::::::;,,'''''''''''''''''''''''''''''''''''''''''''''''''''''''.................................................................................'',,,,,,,,,,,,,,,,,,,''''..............',,,,'..             ...............''''''....'',,;;;;;;;;;;,'..'',,,,,,,''..'',,;;;;,,,,,,,,,,;coxkkkkkkkkkkkkkkkkkkxxdddddoc;,''''''''.............''',,,,;;::cccclllllllcclllllllllllllllllcccccllllllllllcccllc:;,,,,,,,;:cccccc:;;:cccccccccc:;;:cccccccccccccc:;;:cccccccccccc:;;::cccccccccccccldx
	cc::::ccccccccccccc::::::;,,'''''''''''''''''''''''''''''''''''''''''''''''''''''''................................................................................',,,,,,,,,,,,,,,,'''''''.'''''''...........''''..               .....'',,,,,,,,,,,,'''''',,;;;;;;;;;,'.'',,,,,,,''..';::ccccc:;,,,,,,,,;coxkkkkkkkkkkkkkkkkkkkkkkkkkdlc;,,,,,,,,,,,,,,,,,,,,,,,,;;;;:::ccccccccccllccllllllllllllllllccccclllllllllllcccllc:;,,,,,,,;:cccccc:;;:cccccccccc:;;:cccccccccccccc:;;:cccccccccccc:;;::cccccccccccccldx
	c:::cccccc:::cccccccccc::;,,'''''''''''''''''''''''''''''''''''''''''''''''''''''''...............................................................................',,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,''...........             ...'',,,,,''''....',,,,,,,,,,;;;,,,,,,'..',,,,,,,,'..',:cclllcc:;,,,,,,,,;coxkkkkkkkkkkkkkkkkkkkkkkkkkdlc;,,,,,,,,,,,,,,,,,,,,,,,,,,;;:::ccccccccccllccllllcccllllllllllllllllcclllllllccclcc:;,,,,,,,;:cccccc:;;:cccccccccc:;;:cccccccccccccc:;;:cccccccccccc:;;::cccccccccccccldx
	:ccc::ccc:::ccc::cccc::::;;,'''''''''''''''''''''''''''''''''''''''''''''''''''''''..............................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,''''......              ..'''''''............'',,,,,,,,,,,,;,,'''',,,,,,,,'''';:ccllllcc:;,,,,,,,,;coxkkkkkkkkkkkkkkkkkkkkkkkkkdlc:;,,,,,,,,,,,,,,,,,,,,,,,,,,;::cccccccccccccccclllcccllllllllllllllllccccclllcccllcc:;,,,,,,,;:cccccc:;;:cccccccccc:;;:cccccccccccccc:;;:cccccccccccc:;;::cccccccccccccldx
	:ccc:::cc:::ccc:::cc::::::;,,,,,,,,,,,,,,,,,,,,,,,'''''''''''''''''''''''''''''''''.............................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,'''..............''...               .......................',,;;;,,,,,,,,'''',,,,,,,,'.'';:cllllllc::;,,,,,,,,;coxkkkkkkkkkkkkkkkkkkkkkkkkkdlc:;,,,,,,,,,,,,,,,,,,,,,,,,,,,;:ccccccccccccccccccccllllllllllllllllllcccccllccclllcc:;,,,,,,,;:cccccc:;;:cccccccccc:;;:cccccccccccccc:;;:cccccccccccc:;;::cccccccccccccldx
	cccc:::::::::ccc:c::::c::::;;;:::::::::::::::::::;;,'''''''''''''''''''''''''''''''............................................................................',,,,,,,,,,,,,,,,,,,,,,''''.......................                ......''',,,,,,,,,''..'',,,;;;,,,,,,'.'',,,,,,,'..';cclllllllc::;,,,,,,,;:coxkkkkkkkkkkkkkkkkkkkkkkkkkdlc:;,,,,,,,,,,,,,,,,;,,,,,,,,,,;:cccccccccccccccccccccclllllllllllllllccccccclllclccc:;,,,,,,,,;:cccccc:;;:ccccccccc::;;:cccccccccccccc:;;:cccccccccccc:;;::cccccccccccccldx
	cccccccccccccccccccc::::::::::::::::::::::::::::::;,'''''''''''''''''''''''''''''''...........................................................................',,,,,,,,,,,,,,,,,,,,'''.......''.................              ....''''''''''',,,;;;,,,,'',,,,;;,;;,,'''',,,,,,,''.';:clllllcccc:;;,,,,,,,;;coxkkkkkkkkkkkkkkkkkkkkkkkkkdoc;,,,,,,,,,,,,,,,,,,,,,,,,,,,,;::ccccccccccccccccccccccllllllllcclllcclllllclllllccc:;;,,,,,,,;:cccccc::;:ccccccccc::;;:cccccccccccccc:;;:cccccccccccc:;;::ccccccccccc::ldx
	ccccccc:cccc:ccccccc::::::::::::::::::::c:::::::::;,'''''''''''''''''''''''''''''''..........................................................................',,,,,,,,,,,,,,,,,,,'''''''',,,,,,,,,,,,,,,,,,,,'...            ..''''............'',,;;;;,,,,,,,,,,,,'..',,,,,,,''',;:clllllccccc:;,,,,,,,,,:coxkkkkkkkkkkkkkkkkkkkkkkkkkdoc;;,,,,,,,,,,,,,,,,,,,,,,,,,,;;::cccccccccccccccccccccclllllllllllcclllccccclcccccccc:;,,,,,,,;:ccccccc:::ccccccccc::;;:ccccccccccccc:::::cccccccccccc:;;::cccccccccccccldx
	cccc:::::::::::::cc:::::::::::::::::::::::ccccc:::;,'''''''''''''''''''''''''''''..........................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;,,,,,,,,,,,,,,..          .....................',,;;;;;,,,,,,,,,'..',,,,,''''',:ccllllllcclcc:;,,,,,,,,,:coxkkkkkkkkkkkkkkkkkkkkkkkkkdoc:;;;;;;;;;;;;;;;;;;;,,,,,,,;;::ccccccccccccccccccccccclllllllllllccllcc::ccclllccccc:;,,,,,,,;:cccccccc:cccccccccc::;;:ccccccccccccc:::::cccccccccccc:;;::cccccccc:ccccldx
	cccc:::::::::::::::::::c:::::::::::::::::::::ccc::;,'''''''''''''''''''''''''.............................................................................',,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,'..       .......''''',,,,,,'''...',,;;;;,,,,,,;,'..'',,,,''..',:cllclclllccccc:;,,,,,,,,,:ldxkkkkkkkkkkkkkkkkkkkkkkkkkxdoolllllllllllllllllllc:::::::::ccccccccccccccccccccccccllllllllcclccllc:;;::ccllclccc:;,,,,,,,;:cccccccc:cccccccccc:::::ccccccccccccc::;;:cccccccccccc:;;::cccccccc:ccccldx
	:cc::::::::::::::::::::::::::::::c::::::::::::cc::;,'''''''''''''''''''''''..............................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'....      ...'',,,,,;;;;;;;;;;;,,,'.'',,;;;;;,,,,,'...',,,''..',;:ccllccccllccclc::;,,,,,,,;:ldxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxddooooooolccccccccccccccccccccccccllllllllcclccllc:;;;:ccllllccc;,,,,,,,,;:ccccccc::cccccccccc:::::cccccccccccccc:;;:cccccccccccc:;;::ccccccc::ccccldx
	::::::::cc::::::::cc::::::::::::cccc:::::::::ccc::;,'''''''''''''''''''''..............................................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..          .',,;;;,,;;,,,,,,,,,,,,,,,''',;;;;;;;;,'...'',,''.'';:ccccccccccclccclc:;,,,,,,,,;:ldxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxdlcccccccccccccccccccccccllllllllllllcllc:;;;:cclcllcc:;,,,,,,,,;:cccccc:::cccccccccc:::::cccccccccccccc:;;:cccccccccccc:;;::cccccccccccccldx
	:::::cccc::::::::::::::::c::::::cccc::::::::::cc::;,'''''''''''''''''.................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..            .',;;;;,,,,,,,,,,,,,,,,,;,,,,,,,,;;;,,,''''',''''';:cccccccccccccccclcc:;,,,,,,,,;:ldxkkkkkxxxxxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxdlcccccccccccllcccccccccllllllllllllllllc:;,;:cclcllcc:;,,,,,,,,;:cccccc:::cccccccccc::::ccccccccccccccc:;;:cccccccccccc:;;::cccccccccccccldx
	::::ccc:::::::::::::::::::::::::ccc::::::::::::::;,'.................'''''..........................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'....              ..,;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,'..'',''''';:ccllcccccccccccccclcc:;,,,,,,,,;:coxxxxxdolllodxxxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxdlccccccccccccclllllllllllllllllllllllllc:;;;:cclclccc:;,',,,,,,::cccccc:::cccccccccc::::ccccccccccccccc:;;:cccccccccccc:;;::cccccccccccccldx
	::::ccc:::::::::::::::::::::::::::::::::::;,,''''''..............''''''','.........................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,...                   .,;;;;,,,,,,,,,,,,,,,,,,,,;,,,,,,,,'...'''..',;:clllcc::ccccccccccclcc:;,,,,,,,,,;:clolllllcccccclodxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxdlcccccccccccccccclllllllllllcllccclllllcc:::ccclllccc:;,,,,,,,;:ccccccc:::ccccccccccc:::ccccccccccccccc:;;:cccccccccccc:;;::cccccccccccccldx
	:::::c:::::ccccccccccccccc::::::::::;;,,''.............'''......'',,,,,,,'........................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'...                    ..,;;,,,,,,,,,,,,,,,,,,,,,,,,,;;,,'''..'''..',;:cllcccc::cccccccccccccc:;,',,,,,,,;:cccccccccc::;;;:cldxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxdlcccccccccccccccclllllllccllllccccclllllccccccccclccc:;,',,,,,;:ccccccc:::cccccccccc:::cccccccccccccccc:;;:cccccccccccc:;;::ccccccccccc::ldx
	:::::::::ccccccccccccccc::::::::;;,''...........''''''''''.....'',,,,,,,,,'.....................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,..                      .',,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,''......',,;;:cccccccc::cccccccccccccc::;,,,,,,,,;:ccllllllcc::;;;;;:cldxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxdlcccccccccccccccclllllllllllllcccccccllllllcccccclccc:;,',,,,,;:ccccccc:::ccccccccc:::::ccccccccccccccc:;;:cccccccccccc:;;::ccccccccccc::ldx
	::::::::::::::::::::::::::::;;,'''..........'''''''''''''.....'''',,,,,,,,'...................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'.                      ..',,,,,,,,,,,,,,,,,,,,,,,,,,;,,,'''....',;::::::cccccccc:cccccccccccccc:;,,,,,,,,,;:ccllllllcc::;;;;;;:cldkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxdlccccccccccccccccllllllllllcllccccccllllllllcccccllcc:;,,,,,,,;:ccccccc:::ccccccccc:;;::cccccccccccccc::;;:ccccccccc:cc:;;::cccccccccccccldx
	::::::::::::::::::::::::;;,,''.......'''''''''''''''''''......',,,,,,,,,,,''................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..                      .',,,,,,,,,,,,,,,,,,,,,,,,,,,,,'......',;:ccc::::cccccccc:cccccccccccccc:;,,,,,,,,,;:ccllllllccc::;;;;;::lodxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxdlllclcccccccccccclllllllllccllcccccllllllllccccccllcc:;,,,,,,,;:ccccccc:::ccccccccc:;;::cccccccccccccc:::::cccccccccccc:;;;:ccccccccccc::ldx
	::::::::::::::::::::;;,,''......''''''''''''''''''''''''.....',,,,,,,,,,,,''...............................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..                     ..,;;,,,,,,,,,,,,,,,,,,,;;,,,,'.......,;cccccc::::cccccccc:cccccccccccccc:;,,,,,,,',;:ccccllllcccccccccccccloddxddddddddxkkkkkkkkkkkkkkkkkkkkkkkxdlllllcccccccccccclllllllllcccllcccclcccllllcccccclccc:;,,,,,,,;:ccccccc::cccccccccc::;::cccccccccccccc::::ccccccccccccc:;;;:cccccccccc:::ldx
	::::::::::::::::;;,,''.....'''''''''''''''''''''''''''''.....',,,,,,,,,,,,,''............................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..                   ...',;,,,,,,,,,,,,,,,,,,,,,,,,'...',,;;;:ccccccc:::ccccccccc:cccccccccccccc:;,,,,,,,',;:cclllllcccccclcccccllllllllllcccccldxkkkkkkkkkkkkkkkkkkkkkxdlllllccccccccccccllllllllcccclllllllcclllllcccccclccc:;,,,,,,,;:cccccccccccccccccccc::::cccccccccccccc::::ccccccccccccc:;;;:ccccccc::::::ldx
	::::::::::::;;,,''.......'''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,'.........................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,..                 ...',,,,,,,,,,,,,,,,,,,,,,,,''....';:cc:::cccccccc:ccccccccccc:cccccccccccccc:;,,,,,,,',;:ccclcclllllllllllllllllclccllcc:;;:cldxxxxkkkkkkkkkkkkkkkkxdlccllccccccccccccllccllllccllllccccclllllllcccccclcccc:;;;;;;;::cccllcccccccccccccccc::::::::ccccccccc::::ccccccccccccc:;;;:cccc:::::::::ldx
	::::::;;;;,''.........''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,'......................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..             ...',,;;,,,,,,,,,,,,,,,,''''''....',;:cccc::cccccccc:cccccccccc::cccccccccccccc:;,,,,,,,',;:ccllllllllllllllllllllllcclllcc:;;;;:cclodxkkkkkkkkkkkkkkkxdlccclccccccccccccllllllllllllllllllllllllllcccccclcllcccccccccccccllllcccccccccccccccc:::;;;;::ccccccc::::ccccccccccccc:;;;:ccccc:::::cc:ldx
	::::;;,''.......''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,''...................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'...       .....',,,;,,,,,,,,,,,,,,,,,,,,,,''.',;:ccccccc::cccccccc:cccccccccc::cccccccccccccc:;,,,,,,,',;:ccllllllllllllllllllllllcclllcc:;;;;;;;;:cldxkkkkkkkkkkkkkxdlcccccccccccccccclllllccccclllllllllllllcclcccccclccllclccccllllllllccclccccccccccccccc::;,,,,,;;:cccc::::ccccccccccccc:;;;:ccccc::::ccccldx
	:;,,''......''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,,,'.................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'.......'',,,,;,,,,,,,,,,,,,,,,,,;,,;,,''.',;ccccccccc::cccccccc:cccccccccc::cccccccccccccc:;,,,,,,'',;:ccllllllllllllllllllllllcclllcc:;;;;;;;;;;:cldxkkkkkkkkkkkxdllcccccccccccccccccllccccccclllcclllllllcclcccccccccccccccccllclllllllcccccccclccccccccc;,,,,,,,,;:ccc:::;:cccccccccccc:;;;:cccccc::::c::ldx
	''........''''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,,,,,'.............................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,,,,,,,,,,,,,;;;,,,'''',;;:cccccccc::::ccccccc:cccccccccc::cccccccccccccc:;,,,,,,'',;:ccllllllllllllllllllllllcclllcc:;;;;;;;;;;;;:cldxkkkkkkkkkxdllcclccccccccccccccccccccccccllcclllllllllccccccccccccccccccllclllllcccccccccccccclllcc:;,',,,,,,;;::c::;;:cccccccccccc:;;;:ccccccc:::c::ldx
	.....'''''''''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,,,,,,'........................................''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,'',,;::::ccccccccc::;:ccccccc:cccccccccc::cccccccccccccc:;,,,,,,'',;:cclllllllllccllllllllllllllllcc:;;;;;;;;;;;;;;::loodxxkkkkxdlcccccccccccccccccccccccccccllccllllllllllcccccccccccccccccclllllclllllcllccclcccccllcc:;,,,,,,,,,;;;:;;;;:cccccccccccc:;;::ccccccc::ccccldx
	.'''''''''''''''''''''''''''''''''''''''''''''''''''''''.....'',,,,,,,,,,,,,,,,,,,'....................................'',,,,,,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;::ccc::ccccccccc::::ccccccc:cccccccccc::cccccccccccccc:;,''''''',;:ccllccccclllllllllllllllllllccc:;;;;;;;;;;;;;;;;;;:cldxxkkxdlccccccccccccccccccccccccccccllllllllllllllccccccccccccccccccccccccllllllcccccllcllcccc:;,,,,,,,,,,,;,;;;;:cc::cccccccc:;;::cccccc::::cc:ldx
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,''.................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,,,'''',;:cccc::::ccccccccc::::ccccccc:cccccccccc::cccccccccccccc:;,''''''',;:ccllcccccclllllllllllllllcllccc:;;;;;;;;;;;;;;;;;;;;:coxkkxdlccccccccccccccccccccccccccllllllllllllllllccccccccccccccccccccccccclllllccccccclllclcc:;,,,;;;;;;,,,,,;::::::ccccccccc:;;::ccccc::::::::ldx
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....',,,,,,,,,,,,,,,,,,,,''............................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,',,;;::ccccc::::ccccccccc::;:ccccccc::ccccccccc::cccccccccccccc:;,',,,''',;:ccllccccllllllllllllllllllllccc:;;;;;;;;;;;;;;;;;;;;:cldkkxdllccccccccccccccccccccccccclllllllllccllllllcccccccccccccccccccccccclclllccccccccclcccc::;,,,;;;;;;,,,,,;:::::cccccccc::;;:cccc::::::::::ldx
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,,,,'.....................'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,'''',;:::ccccccc::::ccccccccc::::ccccccc:cccccccccc::cccccccccccccc:;,',,,,,',;:ccllllllllllllllllllllllllllccc:;;;;;;;;;;;;;;;;;;;;;:ldkkxdlllcccccccccccccccccccccllcllcccccllcclllccccccccccccccccccccccccccccclllccccccccccccccc:;;;;;;;;;;,,,,,,,,;;::ccccccc::;;:::::::::::::::ldx
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,;;,,''...............'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''',,;;:ccccccc::::cccccccccc:::ccccccc::cccccccc:::cccccccccccccc:;,',,,,,,,;:cclllllcccllllllllllllllllllccc:;;;;;;;;;;;;;;;;;;;;;:ldkkxdllccc:::cccllcccccccccccllcccccccccllllccccccccccccccccccccccccccccccclllccccccccccccccc:;;;,,,,,,,,,,,,,,,,,;;::ccccc::;;;::::::ccc:::::ldx
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,;,,,,''......'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,''.'''''''',,;:ccccccc:::::ccccccccc::ccccccc::::cccccccc::cccccccccccccc:;,',,,,,,,;:cclllcccccccllllllllllllllllccc:;;;;;;;;;;;;;;;;;;;;;:ldkkxdlccc:;;;:cllclcccccllclcllccccccccccccccccccccccccccccccccccccccccccclllcccccccccccccccc:;,,,,,,,;,,,,,,,,,,,,,;;::c::::;;;:::::::c::::::ldx
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....''',,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,''''''''''''''''',;:ccccccc::;;:ccccccccc::ccccccc:;;::cccccc:::cccccccccccccc:;,'',,,,,,;:ccllccccccccclllllllllllllllccc:;;;;;;;;;;;;;;;;;;;;;:ldkkxdlcc:;;,,:cclllcccccllllllllccccccccccccccccccccccccccccccccccccccccccllcccccccccccccccc:;,,,,,,,;;;,,,,,,,,,,,,,;:::::::;;;::::::::::::::ldx
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,,,'''....''''''''''''',;:ccccccc::::ccccccccc:::ccccccc:;;::ccccc::::cccccccccccccc:;,''',,,,,;:cclccccccccccccclllllllllllcccc:;;;;;;;;;;;;;;;;;;;;;:ldkkxdlcc::;,,;cccclccccccccllllllcccccccccccccccccccccccccccccccccccccccccllcccccccccccccccc:;,,,,,,,,,,,,,,,,,,,,,,,;:::::::;;;::::::::::::::ldx
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,'''....''''''''''''''''',;:ccccccc::::ccccccccc:::ccccccc:;;::ccccc::::cccccccccccccc:;,'''',,,;;:cclcccccccccccccllllllllllcccc::;;;;;;;;;;;;;;;;;;;;;:ldkkxdlcc:;;,,;:ccllcccccllcclllllcccccccccccccccccccccccccccccccccccccccccllcccccccccccccccc:;,,,;;;,,,,,,,,,,,,,,,,,;:::::::;;;:ccc:::::::c::ldx
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''.....''''''''''''''''''',;:ccccccc::;::ccccccccc::ccccccc:;;::ccccc::::ccccccccccccc:;,,'''',,;;::ccllcccccccccccclllllllllllllcc:;;;;;;;;;;;;;;;;;;;;;:ldkkxdolcc:;,,;:ccllccccccccllllccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:;,,,,,;;;,,,,,,,,,,,,,,,;:::::::;;;:ccc::::::ccccldx
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.....''''''''''''''''''''''''''',;;:cccccc::;;:ccccccc::::ccccccc:;;:cccccc::::cccccccccccc:;,,'''',,,;;:ccclllccccccccccclllllllllcllccc:;;;;;;;;;;;;;;;;;;;;;:ldkkxdolcc:;;;::cccccccccccccllcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:;,,,,,,,,,,,,,,,,,,,,,,,;:::::::;;;:ccc::::::::::ldx
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''........'''''''''''''''''''''''''''''',;;:cccccc::;::ccccccc::::ccccccc:;:ccccccc::::cccccccccccc:;,''',,,,,;;:cccccccccccccclllllllllllllllccc:;;;;;;;;;;;;;;;;;;;;;:ldkkxdlccccc:::ccccccccccccccclcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:;,',,,,,,,,,,,,,,,,,,,,,;::ccc::;;;:ccc::::::::::ldx
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.........''''''''''''''''''''''''''''''''''',;::cccccc::::cccccccc::::ccccccc:;:ccccccc::::cccccccccccc:;,,'',,,,,;;:cccccccccccccclllllllllllllllccc:;;;;;;;;;;;;;;;;;;;;;;cdkkxdlccccccccccccccccccccccclcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:;,',,,,;,,,,,,,,,,,,,,,,;:::::::;;;:ccc::::::::::ldx
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''.........'''''''''''''''''''''''''''''''''''''''',;:ccccccc::::cccccccc::::ccccccc:;:ccccccc::::cccccccccccc:;,''',,,,,;;:ccccccccccccccllllllllllllcllccc::;;;;;;;;;;,,,;;;;;;;;coxkxdlccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc::;,',,,,,,,,,,,,,,,,,,,,,;:::::::;;;:ccc::::::::::ldx
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''...........''''''''''''''''''''''''''''''''''''''''''',;:ccccccc::::cccccccc::::ccccccc:;:ccccccc::::cccccccccccc:;,''',,,,,;;:ccccccccccccccllllllllllllccllcc::;;;;,,;;;,,,,,,,,,;;;:cloolccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:;,,,,,,,,,,,,,,,,,,,,,,,;:::::::;;;:ccc::::::::::ldx
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......''',,,,,,,,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''..........''''''''''''''''''''''''''''''''''''''''''''''''''',;:ccccc::;::cccccccc::::ccccccc:;:ccccccc::::cccccccccccc:;,''',,,',;;:cccccccccccclllllllllllllccccccc::;;;;,,;;;,,,,,,,,;;;;:::cccccccc::::cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:;,,,,,,,,,,,,,,,,,,,,,,,;:::::::;;;:ccc::::::::::ldx
	''''''''''....'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''.......''',,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''........''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,;:cccc::;::ccccccc:::::ccccccc:;::cccccc::::cccccccccccc:;,''',,,',;;:ccccccccccccllllllllllccccccccccc:::::::::::::::::::::ccccccccccc:;;,;:ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:;,,,,,,,,,,,,,,,,,,,,,,,;:::::::;;;::::::::::::::ldx
	''''...''......'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''........''',,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''........'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',;:::cc::;::ccccccc:;:::ccccccc:;;:cccccc::::cccccccccccc:;,''',,,',,;:cccllcccccccllllllllllccllcccccccccccccccccccccccccccccllccccccc::;,',::cccccclcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc::;,,,,,,,,,,,,,,,,,,,,,,,;:::::::;;:::::::::::::::ldx
	`,
	`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
	dddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddollllllooooollllllllc:clodxxxddxxxxddddddddxxxxxxxxxxxxxdddxxxxxxxxxxxxxxxxxxxddddxxxxxxxxxxddddddddddddddddddddddddddddddddxxxxxxxxxxxxxdddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxdol:;;cxO
	ooooooooooooooodddddddddddddddddddddddooooooooooddddddddddddollllllllllllllllllcc:;:cldddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddxddddddddddddddddddddddddol:,',:lk0
	dddddddoodddddddddddddddddddddddddddddooodddddddddddddddddddollllllllllllllllllcc:;::loddddddddddddddddxxxxxxxddddddddddddddddxxxxxxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddddddddol:;,,:ldO0
	dddddddoodddddddddddddddddddddodddddddddddddddddddddddddddddollllllllllllllllllcc:;;:coddddddddddddddxxxxxxxxxddddddddddddddddxxxxxxxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddxxxdddddddddddddddddddddddddolcc:::cloxO0
	dddddddooddddddddddddddddddddddddddooooooooooddddddddddddddoolllcccclllllllllllcc:;;:codddddddddddddddxxxxxxxxxxxxxdddddddddddxxxxxxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddddddddooccccccclodxO0
	ddddddddodddddddddddddddodddddddddddoooooooooooddddddddddddoollcc::ccllllllllllcc:;;;:loddddddddddddddddxxxxxxxxxxxdddddddddddddddxxdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxdddddddddddddddddddxxxddddddddol:;:clc:coddxO0
	ddddooooooodddddddddddooodddddddddddooooooooooodddddddddddooolcc:;;:cllllllllllcc:;;;:cloddddddddddddddddxxxxxxdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxxxxddxxxddxxxxdddxxxddddddddddxxxxddddoc:;::llcclddodkO
	oooooooooooooooddddddddooddddddddddoooooooooooodddoodddddoollccc:;;:ccllllcccllcc:;;;:cloddddddddddddddddxxdxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxddddddddddddddddddddxxxxxxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxddxxxxddddddxddddxxddddxxxddddddddddxdddddolc:;:clccccllc:cdk
	oooooooooooooooodddddddddddddddddddoooooooooooodddoodddddoollcccc:::cccccccccllcc:;;;:cloddddddddddddddddddddddddddddddddddddddxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddxxxxxxxdddddddddddddddolc:;;:cll:;:cc:;;:dO
	ooooooooooooooodddddddoodddddddddddoooddooooooodddoodddddoollccccccccccccccccllcc:;;;::loddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddxxxxdddddddxxxxdddddol:;;::cccc;,;::::cok0
	oooooooddoooddddddddddddddddddddddddooddoooooooooodddddddoollccccccccccccccclllcc:;;;;:coddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddxddddddddxxdddddddddddddddddddddddddddlc:;;:cccc:::ccccclodO0
	oooooooddoooddddddddddddddddodddddddoooooooooooooodddddddoollccclllccccccccclllcc:;;;;:coddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxdddddddddxdddddddddddddddddddddddddoc:;;:::;:::::cllccoooxO0
	ooooooooooooddddddddddddddddodddddoooooooooddddddddddddddoollllllllccccccccccllcc:;;;;:cldddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddddol:;;;::;;:ccccllllodddxO0
	oooooooooooooddddoddddddddddodddoooooooooodddddddddddddddoolllllllllcccccccccllcc:;;;;;clddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddxxddddddddddddxxxdxxxdddddddddddddddolcc::;;:::ccllccclooddddxO0
	ooooooddddooooodddddddddddddodddodddddoddddddddddddddddddoolcclccllccccccccccllcc:;;;;:clddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxdddddddxxxxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddxxddxxddxxxxxxxddddddddddddddoc:::::ccccllcc:;:coddddddxO0
	ooooooddddooooddddddddddooooooooooooodddddddddddddddddddddolcccccccccccccccccllcc:;;;;;:lodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddxddddxxxxxxxxxxxdddddddddddolc:;;;:cllccllc;;:lodddddddxO0
	oddddoooooooddddddddddddooooooooooooodddddddddddoddddddddoolcccccccccccccccccclcc:;;;;;:clodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddxddddxxxxxxxxxxxddddddddddol::;;:cllollccc:::lddddddxddxO0
	dddddddoddddddddddddddoooooooooooooooooddddddddddddoodddoollccccccccccccccccccccc:;;;;;;:lodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxdxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddxddddxxxxxxxxxxdddddddddolc:::c:cloolccc::clodddddddxddxO0
	ddddddddddddddddddddddooooooooooooooooodddddddoooooooooollcccccccclcccccccccccccc:::::;::cclooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxdddddddddddddddddddxxxxdddddxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddxddddxxxxxxxxddddddddddol::ccccclodoc;;::coddddddddddddxO0
	ddddddddddddddddddddddddoooooooooooooooddddoddoolllllllllccccccccclccccccccccccccccccccc:::::clodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxddddddxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddxxxxxxxxxxdxdddddolcclooccllol:;,;:lodddddddddddddxO0
	ddddddddddddddddddddddddoooooooooooooooooddddoollcccllllcccccccccccccccccccccclllcccccccc:;;::lodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxdddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddxxxxxxxxxxxxxxdddocclodol::clc:;,;cldddddddddddddddxO0
	ddddddddddddddddddddddddooooooooooooooodooddddollcclcllcccccccccccccccccccccccccccccccccc:;;::loddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddxxxxxxxxxxxxxxxddolcclooolc:cll:;;:coddddddddddddddddxO0
	ddddddddddddddddddddddddooooooooooodddodooddddolllllccccccccccccccccllllccccccccccccccccc:;;::lodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxdxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddxxxxxxxxxxxxxxdolccloolc::cllc::codddddddddddddooooodO0
	dddddddddddddddddddoooooooooooooooodddododddddolllllcccc:::::ccccccccllcccccccccccccccccc:;;;:codddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddxxxxdxxxxddolccllllcc::::::cloddddddddddddolccc:clxO
	ddddddddddddddddddooooooooooooooooodddodddddddoolllccccc:;;;:cccccccccccccclllllllllllccc:;;;:codddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddxdddxddolc::cllllc::::::cldddddddddddoolc:;;;,;:ok
	dddddddddddddddoooooooooooooooooooodddooooddddoollcccccc:;;;:cccccccccccccclllllllllllccc:;;;:codddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxdddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddxddddddl:;,;clllcc::cc:clodddddddddddolc:;,,,,,,:ox
	dddddddddddoooddooooooooooooooooooodddooooddddoolccccccc:;;;:cccccccccccccclllllllllllccc:;;;:coddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxdddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddoooolc:;;:cllllc::;:cloddddddddddddolc;;,'',,,,:ox
	ddddddddddddddddddooodddddddooooooodddooooddddoolccccccc::;;:cccccccccccccclllllllllllccc:;;;:coddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxdddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddxxdddolc::;;;,,;::ccclool:;;cldddddddddddddolc;;,,''',,,:ox
	ddddddddddddddddddddddddddddddddooodddooooddddoollccccccccc:ccccccccccccccclllllllllllccc:;;;:coddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddoooooodddooc:;;,,,'''',,;:clool:;,:ldddddoodddddolc:;;,,,''',,,:ox
	dddoooddddddddddddddddddddddddddddddddddooddddoollccccccccccccccccccccccccccccccccclllccc:;;;:coddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddlc::;;:::cc:;,,,,,;,,'''',,;clol:,,,;cccccc:::::::::;;;;;,,''',,,:ox
	dddooooddddddddddddddddddddddddddddddddddoddddoollcccccccccccccccccccclllcccccccccccllccc:;;;:codddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxdddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:;,,,,,,,,,''',,;;;;,,,,,,,,;;:;,'',,,,'''''''''',,,,;;;;,,''',,,:ox
	ddooooooooodddddddddddddddddddddddddddddoodddddoolcccccc:::;:cccccccccllllcccccccccclllcc:;;;:coddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxdoc:;;,,,,,,,,''.',,;;;;,'',;;,,''''..''''''''''''''''',,;;;;,,''',,,:ox
	ddooooooooooodddddddddddddddddddddddddddooddddoollcccccc:;,,;:ccccccccllllcccccccccclllcc:;;;:coddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxddddxxddddddxxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddol:,,,,,,,,,,,''''',,,,,,',,;,,,,,,'......''''''''''''',,;;;;,,''',,,:ox
	ddooooooooooooddddddddddddddddddddddddddooddddollccccccc;,,,;:ccccccccllllccccccccclllccc::;;;coddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:;,,,,'',,,,,,''.'',,,,,,,;,,',,,,,''''.......'''''''',,;;;;,,''',,,:ox
	ddoooooooooooddddddddddoodddddddddddddodooddddollccccccc:;,,;:ccccccccllllccccccccccllccc:;;;:coddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddoc;,,,,,,,,,,,,,,,,''''',,,,,,,,,,,;,,,',,'........'..''',,;;;;,,''',,,:ox
	oooooooooooooooddddddoooodddddddddooooodddddddollccccccc:;,,;:ccccccccllllcccccccccclcccc:;;;:coodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc;,'',,,,'''',,,,,,'....''''',,,,;;,,,,,,,,'.......'''''',,,;;,,,''',,,:ox
	ooooooooooooooooooooooodddddddddooooooodddddddollccccccc::;;;cccccccccccccccccccccccccccc:;;;;clooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxddddddddxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddoc;,,,''',,,,,,,,,,'.....'''...'',,,,,,,,;;,,'',,''.....''',,,,,,,,''',,,:ox
	ooooooooooooooooooooodddddddddddooooooodddddddollccccccccc::ccccccccccccccccccccccccccccc:;;;;:looodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddol:;,,,,'',,,;;;;;;,,'....',,,''.''''..',,,,,,,,,,;,,......'',,,,,,,,''',,,:ox
	ooooooooooooooodddooodddddddddddoooooooddodddoollcccccccccccccccccccccccccccccccccccccccc::;;;:loddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxddxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:;,,,,''',,,,,,,,,,,'...',;;;,,'''''..''''''',,;;;;,'....''',,,,;,,,''',,,:ox
	ooooooooooooooooddooodddddddddddooooooooooddddollcccccccccccccccccccccccccccccccccccccccc:;;;;:loddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc:,',,,,,'',,,,,,,,,,''..',,;;;,,,,,,,',,,''.',,,;;;;,'....''',,,,,,,,''',,,:ox
	ooooooooooooooooodooodddddddddddooooooooooddddollcccccccc::::cccccccccccccccccccccccccccc:;;;;:loddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxdddddddxxxxxxxxxxxxxxxxxxxxxxxxdddddddoooollllllllllllllllloooodddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxddoc;''''',,''',,;;;;;;,''..',,;;;;,,,,,,,,,;;,'',,;;;;,,'....'''',,,,,,,,''',,,:ox
	ooooooooooooooooodooodddddddooooooooooooooddddollcccccccc:;,;::cccccccccccccccccccccccccc:;;;;:loddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxddddddddddddxxxxxxxxxxxxxxxxxxxdddoollcc::;;;;;,,,,,,,,,,,,,,;;;::cllodddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc;,''',,'''..',,,,;,,,'..',,;;,,,,,,,,,',,;;,,',;;;;,,''...''''',,,,;,,,''',,,:ox
	ooooooooooooooodddooodddddddddooooooooodooddddollcccccccc:;,;::cccccccccccccccccccccccccc:;;;;:ldddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxdddddddxxdddxxxxxxxxxxxxxxxdddoolc:;;;;,,,,,,,,,,,,,,,,'''''',,,,,'',;:clodddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdl:,,,,,,,''''''',,,,,''..'',,,,,,',,,,,,,,;;,,,,,;;;;,,....'''''',,,,,,,,''',,,:ox
	ooooooooooooooodddooooodddddddddooooooodoododdollcccccccc:;,;::ccccccccccccllcccccccccccc::;;;:lddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxdddddddxdddddxxxxxxxxxxxddddolc:;,'''''',,,,,,,,,,,,,,''''',,,,;;,,'''',,;:clodddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxdoc,',,,,,,,,,,,,,,,,,,''',,,,,'''''',,'',,,,,,,,,,;;;,,'...''''''',,,,,,,,''',,,:ox
	ooooooooooooooodddooooodddddddddddoooooooddoddoollccccccc:;,;::cccccccccccccccccccccccccc:;;;;:ldddddooodddddddodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxdddddddddddddddddddddddxxxxxxxxxddlc::;;,,,''''..........''''''',,,,,;;;;;;;,,''',,,;;:cloddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddol:''',,,,,,'',;;;;;;;,,,,;;,,,,,,,,,,'''',,,,,,,;;;;;,'........''',,,,,,,,''',,,:ox
	ooooooooooooooodddooooodddddddddddoooooooddoddoollcccccccc:::ccccccccccccccccccccccccclcc:;;;;:ldddddddddddddddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxdddolc;,,,,,,,,,'''''''......'',,,,,,;;;;;;;;;;;;,,,,,,,,,,;;:loddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddoc;,,,,,,,,,'',;;;;;,,,,;;;,,,,,,;;;,,'''''''',,;;;;;,,..........'',,,,,,,,''',,,:ox
	ooooooooooooooodddooooodddddddddddooodddddddooollccccccccccccccccccccccccccccccccccccllcc:;;;;:lodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxdddxddddddddddxxdddddddddddddoc:;,,,,,,,,,,'''',,,,,,''''''',;;;;;,,;;;;;;;;;;,,''',,;,,,,,;clodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdlc;,,,,,,,,'''',,,,,,,,,;;;,,,,;;;;;,,',,,,,',,;;;,,,''...''....''',,,,,,,,''',,,:ox
	oooooooooooooooooooooooddddddddddddoodddooooolllcccccccccccccccccccccccccccccccclllllllccc::::cclllloodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxddxddddddddddddddddddddddddol:,'..'''''''',',,,,,;;;;;,,,,''',,;;,,,,,,,,;;;;;,,'..',,;;,,',,;clddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdlc;'',,,,''''','''''',,,,,,,,,;;;;,,,,,,;,,,,,,;;,,'....''''''..''',,,,,,,,''',,,:ox
	ooooooooooooooooooooooodddddddddoddddddooollllccccccccccccccccccccccccccccclllllllllllccccccccc::;;:cloddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoc;,'..........',,,;;;,,,,,;,,,,,''',,,,,;;,,,;;;;,,,,'...',;;;;,,,,,;coddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc;,,,,,,,',,,,,,''',,,,''',,,;;;,,,,,,;,,,,,;;,,''...''''''''..''',,,,,,,,''',,,:ox
	ooooooooooodddddddddddoooddddddddddddddoolllcccccccccccccccccccccccccccccccllllllllllcccccccclc:;;;:cloddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddol:,'',,,'.......'',,,;;;,,,,,;;;;;,,''',,;;;;;;;,,,,'''''...',;;;;;,,'',:coddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:;,,,,,,,,,;;,,,,,,,,,''',,,,,,',,,;;;,,,,,;;,''..''''''''''''''',,,,,,,,''',,,:ox
	odddddoooodddddddddddddddddddddddddddddoolccccccccccccccccccccccccccccccccccccccccccccccccccllc:;;;::lodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddol;,,,,;,,,''',,,''.'',,,;;,,,,;;;;;;,,''',,,,,,,,,,''',,,''..'',,;;;;,,'.';coddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddo:,,,,,,,,,;;;;,,,,;;,,,,,,,,,'..',,,,,,,,,;;,,'..'''''''''''''''',,,,,,,,''',,,:ox
	odddddoooooddddddddddddddddddddddddddddollcccccccccccccccc:::::cccccccccccccccccccccccccccccccc:;;;::loddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxdddoc;,',,;,,'''',,,,,,,'''',,,,,,,;;;;;;;,'....'''''',,,,,;,,,''''''',,;;,,'..';clddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxddoc;,,,,''',,;;,,,,;;;,,,,;;;,,''',,,'''',;;;,,'...''''''''...''''',,,,,,,,'',,,,:ox
	odddddooodddddoooooooooddddddddddddddddollccccccccccccccccc:;;;::::cccccccccccccccccccccccccccc:;;;:clodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxddoc;,,,,;,,''''''.'',,,,,,''',,,,,;;;;;,,'.....',,,,,,;;;;;,,,''',,,''',,,,''''',:lodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxdoc;,,,''..',,,,,,;;,,,,,;;;;,,',,;;,'',,,;;;,,'...'''''''''''''''',,,,,,,,'',,,,:ox
	ooooooooddddddoooooooooodddddddddddddddollcccccccccccccccccc::;;;;;:cccccccccccccccccccccccccc:;;;;:cloddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxdol:,',,,,,'''','.....',,;,,,'''''',,,,,'''''''',,;;;;;;;;;;,,,''',;,,,,,'''.',,,,,;lddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdc;,',,,''',,,'',,,,,,,;;;;,,,,,;;,,,,,;;;;:::;,'''''''''''''''''',,,,,,,,''',,,:ox
	oooooooooddddoooddddoddddddddddddddddddollcccccccccccccccccccc::;;,;;;:::::ccccccccccccccccccc::;;;:cloddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxdl:;,',,,,''',,,'.    ...',,,,'...''''',,,,,,,'',,,;;;;;;;;;,,,''',;;;,,,,'..',,,,',:lodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdc,''',,,,,,,'''''''',,;;;,,,,,;,,,,,,,,,,:lll:,'''''''''''''''''',,,,,,,,''',,,:ox
	ooooooooooooooodddddoddddddddddodddddddollcccccccccccccccccccccc::;;;;,,;;;::::::cccccccccccccc:;;;::loddddddddddddddddddddddddddddddddddddddddooollllloooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoc;,,,,,'''',,,,..       ..',,,''''',,,,;;;;;,,,',,;;;;;;;;;,,,''',;;;;;;,,..',,,,'',:ldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdc,'',,,,'',,,,''....'',,,,,,,;,,'',,,,,,;cool:,'''''''''''''''''',,,,,,,,''',,,:ox
	ooooooooooooooodddddodddddddddoodddddddollcccccccccccccccccccccccccc::;;,,,,,;;;;;;;:::cccccccc::;;:clodddddddddddddddddddddddddddddddddddddoolcc::;;;;:clodddddddddddddddddddddddddddddooooodddooooooooooooooollooollc;''','''''',,,'..         ...'''''',,;;;;;;;;,,'',,;;;;;;;;;,,'',,;;;;;,,'...',,,,,',codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc,'',,,,,'''',,,'.......''',,,'''',,,,;:coddl:,'''''''''''''''''',,,,,,,,''',,,:ox
	ooooooooooooooodddooodddddoooddddooddddollcccccccccccccc:::::::::::::::;;,'',,;;;,,,,;;;;;;;::;;,,,;:coooooooddddddddddddddddddddoooddddddoolc:;,,,'..',;cllooooooooooooooooooollllllllllllllollcc:ccccccccclccccccc::;'..'''.'''',,''..             .....'',;;;;,,;;,'',;;;;;;;;;;,,',,,;;;;;,''..'',,,,,'':oddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc,''',,,,,,,,,,,,'..........''''''''',:lodddl:,'''''''''''''''''',,,,,,,,''',,,:ox
	ooooooooooooooodddooodddoooodddooooddddollccccccccccccc::;;;;;;;;;;;;;;;;;,,,,;;;;;,',,,,,''',,''..';:clcccllllllllloooooolllllllllloooolcc:;,,,,,,...',,;;;::c::ccccllllllcccc::::ccccccllllcc:;;;;;;;;;;;:ccccclllc:,''',,,''',,,,,,'.                 ....',,;;;;;,'',,;;;;;;;;,,'',,,,;;;,,'',,''',,,'.';lddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc,'',,,,,,,;;;,,''..........'',,,,'',:lodxxdl:,'''''''''''''''''',,,,,,,,''',,,:ox
	oooooooooooooooooooooddddddddddddoodddoollcccccccccccccccccc:::;;;;;,,;;;;;,,,,,,,;;,,;;;;,''''''''',;::;;;;;,;;;::::ccccc:::::::::clll:;,''''''','...',,,',;clcccc::::cccc::::ccllllllllllllllclllllllcc::::::::::c:,'',,,,,,'',,,,;,'.      ....          ...',,;;;,'''',,;;;;;;,,'',;;;;,,,,,,,,,,''''''';codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdo:'.',,,,,,,,,,,,,,'.......'''',,,,',;lodxxxdl:,'''''''''''''''''',,,,,,,,''',,,:ox
	oooooooooooooooddddoodddooodoooooooooooollccccccccccccccccccccccc::::;;;;;;,,;,,,,,,,,;;;,,,,,,,,,;;,,,''''',,;;::::;;;;;::cclllcccccc:;,....''''''...''''',:loollc:::cclcccccc::ccccccccllloooooolllllc::::cc::;;;;,'.',,;,,''',,;;;;,..    .':cl:'.         ...'',,,,''',,;;;;;;,,',,;;;;,,'',,;;,,,''',,,:codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddo:''',,,,,,,,,''''''..............',;codxxxxdl:,'''''''''''''''''',,,,,,,,'',,,,:ox
	oooooooooooooodddddodddddooooollllllllllcccccccccccccccccccccccccccccc::::::::;;;;,,,,;;;,,,,,,,,,,''''''''''',,,;:cc::::cclllllllcc:;,,''''..',,,'''''''.',;clllc:ccccllcc::::cccllllllccc:::::;;;;;;;;;;::clccc:::;''',;;,,''',,;,,;,'.     .;oOOxoc,.          ..''''',,,;;;;,'''',,;;,,,'',,;;;;,,'',,'';codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:,'',,,,,;,,,,,,,''..............';codxxxxdoc;,'''''''''''''''''',,,,,,,,,,,,,,:ox
	oooooooooooooodddddddddddoddollccccccccc:cccccccccccccccccccccccccccccccccccccc:::::;;;;;;,,,,,,,,'.............',;:cllllccccc:::;;,,'''',''...'''''''''''',;ccccccc:::::::;;;:::ccllllcc::;;;;::;;;;::::cccclllllc:;'',,;;,,''',,,,,;,'..     .ck0K0Oxo:,'..       ...'',,,;;,,'..',,;;;,,'',,,;;,''''''...':ldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc;,'''''',,,;;;;;,,''.............,:odxxxxxdoc;,'''''''''''''''''',,,,,,,,,,,,,,:ox
	ooooooooooooooooodddddodddddollllcccc::;::cccccccccccccccccccccccccccccccccccccccccccccc:::::;::::;,'...........'',;;:::;;:::::;;''.'''''''''.'''..'',''..';;::::::::::::cccccccccclloollcllclloooolloooooooooooool:,,',,;;,,''',,,,,,,''..     'cxOKK00Okxdl;.        ..'',,,,''..',;;;,,'',,,,'''......  ..:ldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddl:;,''''''',,,,,,,,,''.''..........,coxxxxxxdoc;,'''''''''''''''''',,,,,,,,,,,,,,:ox
	ooddddoooddddoooodddddooddddollccccc::;,;:ccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:;,,,,'''''',,;;;;;;;;;::::;,''''''''''...''''''''''''';:ccccccccclllloooddoodddoddddddddddddddddddddddddddddxdl:;,,,,;,,'''',',,,,,,''..     .:xO0KKKKK0Oko;.       ..'',,,,,''',,,,''''''.....        .':odxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddlc;;,,'''',,,,,,,,,,,'..''.........',:lddxxxxdoc;,'''''''''''....''',,,,,,,,,,,,,,:ox
	ddddoooooooddoooodddddooooddolcccccc::,,;:cccccccccccccccccccccccccccccccccccccccccccccccccccccccclc::;;;;,,,;;:clollllllllc:,'..'',,,''''...'...''''''',:lodddddoooddddddddddddddddddddddddddddddddddddddddddxxxdl:,,,,,,,'..'',,,;,,;;;;,..     .;ok0KKKKKK00kl,.     ..',,,;;,,,''.........             .,codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddl:;;,,,'.'',,,,,,,,,,,,''....... ..',,;:lodxxxdoc;,''''''''''......'',,,,,,,,,,,,,,:ox
	oodoooooooooooooodddddoddodoollccccc::,,;:cccccccccccccccccccccccccccccccccccccccccccccccccccccccllc::;;;;;;;;;:codddoooolc:;,'...'',,,'''''''...'''''';clddxxddddddddddddddddddddddodddddddddddddddddddddddddddddl;,'''',,,'''',,,,;;;;;;,'..      .:dkO0KKKKK0Oo,.    ..',,,;;;,'...            .....    .;ldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddl:,,,,,'',,,,,,,,,,,,,,,,,'...... ..,;,,;:coddxdoc;,''''''''''''....'',,,,,,,,,,,,,,:ox
	ooooooooooooooooodddddodoodoollcccccc:;,;:cccccccccccccccccccccccccccccccccccccccccccccccccccccccllc::;;;;;;;;;:cloddooolc;,,,,''..'''''..''.....'''',;:lddddddddddddddddddddddddddddddddddddddddddddddddddddddddoc,''',,,,,,,,'',,,;;;;;;;,'..      ..;ldkkO0000xl,.   ..',;;;;,'..       ...',;:codl:'  ..:oxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:,'',,'',,,,;;;,,,,,,,',,,,'........',;;:::cldxdoc;,'''''''''''''''''',,,,,,''''',,,:ox
	oooooooooooodddoodddddodoodoollccccccc:::ccccccccccccccccccccccccccccccccccccccccccccccccccccccccllc::;;;;;;;;;:cloooolc;,,,,,,,'..'''''''''...'''''',:coddddddddddddddddddddddddddddddddddddddddddddddddddddddddo:'.',,;;;;;;,,,',,;;;;;;;,,'...       .',;codxxdc'    ..',;;;,'.       .':ldxkOOO0Oo;.. .,cdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddl:,'''''',,;;;;;;;;;;,,',,,;;,'.......'',:cc;,:lodoc;,'''''''''''''''''',,,,,,''''',,,:ox
	oooooooooodddoooodddddodoodoollccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccllcc:;;;;;;;;;:cloooc:,''''''','...''.''''....',,'.',cloddddddddddddddddddddddddddddddddddddddddddddddddddddddddo:,'',;,,,,;;;,,'',,,;;,,,'''''...         ........    ..',,,,'.     ..;lxk00KKKKOxl;.  ..;coddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:;,,,'..',,;;;;;;;;;,,',,;;;;,,'....'''',:ll:,,:cooc;,'''''''''''''''''',,,,,,''''',,,:ox
	dddooooooooooooooodddddddodoollccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccllcc:;;;;;;;;;:clll:;,''''''''........',,'..''',,'.';lodddddddddddddddddddddddddddddddddddddddddddddddddddddddddo:,.',;,,,,,;;;,''',,,,'''',,,,,,'...                  ...',,'..    .:ok00KKK00Oxl;..  ..',,;::cloddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddl:;,;;,''.'',;;;;;;;;;,,',,;;;;;,,'.....''';:c:;;:cll:;,'''''''''''''''''',,,,,,'''',,,,:ox
	ddddooooooooooooooddddoooodoollccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccllc::;;;;;;;;;::c:;,'''''''''....'..''',,'''''',,''':lddddddddddddddddddddddddddddddddddddddddddddddddddddddddddo:'.',;,,,,,,;,,,'''''',,,,;;;;;;,,,'....       .........''''..    .,oO000OOkxl:,..   ..';:;,'',,;cllodddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:;,,;;,,,,,,,,,,,,,,,,,''',,,,,;;,'.....',;;;;:cllc::;;,'''''''''''''''''',,,,,,''',,,,,:ox
	ddddddoooooooooddddddooooodoollccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccllc::;;;;;;;;;;;;,''''''''''.....'''''''''''''''''',coddddddddddddddddddddddddddddddddddddddddddddddddddddddddddo:'.',,,,,,,,,,,'....',,;;;;;;;;;;;,,,''.....''''''''.'',,,''..    ..;cllc::;'.      ..';:clcc;,'',;:cclloddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc:;,;;,,,,;;;;;,,,,,,,,,''',,,,,,,,,,''...';c:;;:lll:,,,'''''''''''''''''''',,,,,,''',,,,,:ox
	ddddddooooooooodddddddoooddoollccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc::;;;;;;;;;;,''''''''''......''''''''''''',,''',:ldxdddddddddddddddddddddddddddddddddddddddddddddddddddddddddo:'..'',,,,,,,,'''''',,,,,,;;;;;;;;,,,''''',,,;;;;,,''',;;;;,,......  ....         ...,;::cllolc:;;::c:::::cloooddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:,,,;;,,',,;;;;;;;;;;;,,,,,,;;;;;;;,,,,''',;::;;:ccc:;'...'''''''''''''''''',,,,,,''',,,,,:ox
	oodddooooooddooddddddooooodoollccccccccccccccccccc:ccccccccccccccccccccccccccccccccccccccccccccccccc::;;;;;;;,,,''''''''''.....''''..'''''..'''''.',codddddddddddddddddddddddddddddddddddddddddddddddddddddddddddo:'...',,,,,,''',,,,,,,'',,,,;;;;,,,'''',,,;;;;;;,,'',,,;;;;,,''','.....       ...',,,;looolllllllcccccc:;,,;;;:cloddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddxxxxddddddddxxxxdoc:;,,;,,,'',,;;;;;;;;;;;,,,,,;;;;;;;;;,,,;;;;,,;::;;;:cc;'..'''''''''''''''''',,,,,,''',,,,,:ox
	ooddoooooodddooooddddooooodoollccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc::;;;;;;,,''.'''',''''...''''''''''''''''''''.';codddddddddddddddddooollcclloodddddddddddddddddddddddddddddddoc,.'''',,,,'',,,;;;;,,,,'',,,,;,,'''',,;;;;;;;;,,,'',;;;;;;,,'',,,,,,''....'''',,,,,,:odxddddooolc:;;:ccc::;;,,,;;:coddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddodddddddoooodddddddol:,,;;;,,,,,,;;;;;;;;;,;;,,',;;;;;;;;;;,,;:ccc;,,::;;;:cc;'..'''''''''''''''''',,,,,,''',,,,,;ld
	ooodoooooodddooooddddooooddoollccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc::;;;;,,,''...''''',''...''''..''''''''''',,''';codddddddddddddoollc:;,,',,;:clodddddddddddddddddddddddddddddoc,''''''',,,,,;;;;;;;;;;,,'',,''''',,,,;;;;;;;,,'',,,;;;;;;,,'',,;;;;;,,''',,;;;;,,,;codxxxxxxdddoc:;;;;::ccc:;,'',;clllodddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddoolllllllllllllllllllllcc:;,,;;;,,,,;;;;;;;;;;;,;;,'',;;;;;;;;;;;,;:cll:,',,,,;;::;'..'''''''''''''''''',,,,,,''',,,,,;ld
	ooooooooooddoodoodddddoodddoollccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc::;;;;;,,'...'''''''''''''''''''''''''''''''''':loddddddddddoolc:;,'''''''',,,;clodddddddddddddddddddddddddddoc,''''..',,;;,;;;;;;;;;;;;,,''..'',,;;;;;;;;;;,,'',,;;;;;;;,,'',,;;;;;;,,'',,;;;;,,;:lodxxxxxxxxxddoollc::ccllcc:;;;:::::cccloddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddoolllcccccclllllllllcccc:;,,,;;;;,,,;;;;;;;;;;;;;;;;,'',;;;;;;;;;;;,,,:loc;'.',,,,;:;,'''''''''''''''''',,,,,,,,''',,,,,;ld
	oooddoooooddooooddddddoddddoollccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccllc::;;;;;;,'....''''''..''''''''',,,,'''''',,,''';loddddddddool:;,''''''''''''',,:codddddddddddddddddddddddddddoc,'''...',,;;;;;;;;;;;;;;,,,'''''',,,,,,;;;;;;,,',,;;;;;;;;,,'',,;;;;;;,,''',,;;,,,;cldxxxxxxxxxxxxxxxddolllllllllllc:;,;;;;:cllooddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddollllcccccclllllllllccc:;,',,;;,,,,,;;;;;;;;;;;;;;;;,'',;;;;;;;;;;;,,,;colc;'.,,,,;c:,'..''''''''''''''',,,,,,,,''''',,,;ld
	ooooooooooooooooodddddoddddoollccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccllc::;;;;;,'...'''''''...'',,''''',,,,,''..',,,'',:loodddddoolc;,''''''''',,''''',:lodddddddddddddddddddddddddddoc;'''''''',,,;;;;;;;;;;;,,'',,,,,,,,,,,,,,,;,,,'',,;;;;;;;;,,'',;;;;;;;,,,'',,;;,,,;codxxxxxxxxxxxxxxxxxdddoooolllcccc:::::::cclllloodddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddollllcccccclllllllllcc:;,',,;;;,,',,;;;;;;;;;;;;;;,,,',,;;;;;;;;;;;,,,;clol:,'',,;::;'....''''''''''''',,,,,,,,,''''',,,;ld
	ooooooooooooooooodddddoddddoollccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc::;;;;,,...'''''''''..'',,'''''''''''...''''''';cooddddool:;''''''''''''''''',:loddddddddddddddddddddddddddddol;''',,,,''',,,,;;;;;;,,,,,,,;;;;;,,,,,''',,,''',,;;;;;;;;,,,'',;;;;;;;;,,''',,,''';lddxxxxxxxxxxxxxxxddxxxxdddoolcc::::::cclllllllccclloddxxxxxxxxxxxxxxxxxxxxxxxxxxddollllcccccclllllllllc:;''',;;;,,,,,,;;;;;;;;;;;;;;,,,,,,;;;;;;;;;;;,,',;cooc;''';::;,'....''''''''''''',,,,,,,,,''',,,,,;ld
	ooooooooooooooooodddddoooddoollccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc::;;;;,''.'',,,'''''..''''''''',,,,'''..''''''';:lodddool:;'''''''''''''..,;cloodddddddddddddddddddddddddddddoc;''',,;;,,,',,,,;;;;,,'',,,;;;;;;;;;;,,,,'''.'',,,,,,,,,,,,''',,;;;;,,,,,'''',''',:odxxxxxxxxxxxxxxxdddxxxxxxxxddolc:;;;;;:clllllc:;;;:looddddxxxxxxxxxxxxxxxxxxxxxxxdollllcccccclllllllllc;,'.'',,,'',,;;;;;;;;;;;;;;;;,,,,,;;;;;;;;;;;;;,'';clol;,'',;;;,'....''''''''''''',,,,;;,,,''',,,,,;ld
	ooooooooooooooooodddddodoodoollccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc::;;;,''''',,,'''''''''',,,,,,,,,,,,,,,'''''''',;codoool:;''''''''''''''';cloddddddddddddddddddddddddddddddddl:,''',,;;;;,,,,,,,;,,,'',,;;;;;;;;;;;;;;;,''...',,,,,,,,,''''''',,,,,,,,,'...'''',;coxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddoolc:;;;::cccc:;;;;:clllloodddxxxxxxxxxxxxxxxxxxddollllccccccllllllllc:;'',,,'''..',;;;;;;;;;;;;;;;;,'',;;;;;;;;;;;;;;,'';cloc;'''',;:;'....''''''''''''',,,,;;,,,''',,,,,;ld
	ooooooooooooooooodddddodoodoollccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc::;;;,'..'''''',,,,''''',,,,,,,,,,,,;;,,,,,,,,'',:loolc;,'''''''''''''';clddddddddddddddddddddddddddddddddddoc;,''',,;;;;;,,,'',,,,'',,;;;;;;;;;;;;;;;;,,''',,,,,,,,,,,''....'',,,,,,,''...'''';cldxxxxxxxxxxxxxxxddxxxxxxxxxxxxxxxxdddollcccclllcc::::::cc::cclooddddxxxxxxxxxxxxdddollllcccccclllllllcc:;,,,;,,,'..',,;;;;,;;;;;;;;;,,'',;;;;;;;;;;;;;;,',;cll:,',,,;:c;'....''''''''''''',,,,,;,,,''',,,,,;ld
	ooooooooooooooooodddddodoodoollccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc::;;,''..''''''',,'''''''''''''''',,,,,,,,,,,,'..,:c:;,'''''''''''''',:loddddddddddddddddddddddddddddddddddoc;,,,'',,;;;;;;,,,''''',,,;;;;;;,,,,;;;;,,,,,,,,,;;;;;;;;;;,,''',,,,,,,,;,,,''',,',:lddxxxxxxxxxxxxxxddddxxxxxxxxxxxxxxxxxxddddoollcc::ccc:;;;::cccccccloddddxxxxxxxxddddollllcccccccccclllc;;,,,;;;,,''''',,,;;;,;;;;;;;;;,'',;;;;;;;;;;;;,,,',;::;,',;::;::;'...'''''''''''''',,,,;;,,,''',,,,,;ld
	ooooooooooooooooodddddodoodoollccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc::;;,''..'''''''''''''''''',,''''''''''''''''''..'''''..''''''''''',;coddddddddddddddddddddddddddddddddddol:,'',,,'',,;;;;;,,,'..'',,;;;;;,,,,;;;;;;,,''',,;;;;;;;;;;;;,,'',;;;;;;;;;;,,,''',,;coddddddxxxxxxxxxxxddxxxxxxxxxxxxxxxxxxxxxxxdddoollccc::;;;;;:clllllllllloodddddxddddddollllccccccccclcc:,,,,;;;;,,',,,,,,,,,,,,;;;;;;;,''',,;;;;;;;;;,,,,'..,;;,,,;;::;;;'...''''''''''''''',,,,,;,,,''',,,,,;ld
	ooooooooooooooodddddddodoodoollccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc::;;,,'....''''',,',,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''','''''''';codddddddddddddddddddddddddddddddddooc;''',,,,,'',,;;,,,,''''''',,,;;;;;;;;;;;;;,,''',;;;;;;;;;;;;;,,'',;;;;;;;;;;;,'..';:loddddddxxxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddoolcccc:;;::cclllllc:::ccllooddddddddddolcclllcclcc:;,,,;;;;;,'',,;;,,,,''',,,,;;,,''..',,,;;;,,,,,,,,'....'',;::::::,''..''''''''''''''',,,,,,,,,''',,,,,;ld
	ooooooooooooooodddoddddddodoollccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc::;;;,'....'',,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,'''''''''''',,''''..';coddddddddddddddddddddddddddddddddolc;,'''',,;;,,'',,;;,,,'',,,,,,,,,,,,;;;;;;;,,,''',,;;;;;;;;;;;;,,,',,;;;;;;;;;;;,'.',:ldddxxxxxxxxxddxxxxxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddooocc::::ccccc::;,,;;:::::cloddddddolllllllllc:;,,,,;;;;,,,,,;;;;;,,,,,,,,,,,,,''.'',,,,,,,,,,,,''......';:c::::::;,''''''''''''''''',,,,,,,,,''',,,,,;ld
	ooooooooooooooodddddddddddooolcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc::;;;,''..'',,,,,,,,,,'''''',,''''''',,,,,,,'''''''''''''''''''.';cooddddddddddddddddddddddddddddddolc;'..',,'',,;,,'',,,;,,,,,,;;;;;,,''',,,;;;;;,''',,,;;;;;;;;;;;;,,'',,,;;;;;;;;;;,,'.':lddxxxxxxxxxxxxxxxxxxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddollccccc::;;;,,,,,,,''',;;:cclllccccllllcc:;,,;;;;;,,,,,,,,,,;;;;;;;;;;;;,,'''',,,,,,,,,,,'''.......',;:;;;:clc;'''''''''''''''''',,,,,,,,''',,,,,;ld
	oooooooooooooooddoddddddddoolllccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc::;;;,,''.'',,,,,,,''',,,,,,,,,'''''''',,,,,,,,,,,,,,''''''''''',:oddddddddddddddddddddddddddddoolc:;'...',,,''',,,,'''''''',,;;;;;;;;;,,,,,,,,,,,,'',,,;;;;;;;;;;;;;,,',,;;;;;;;;;;;,,''';lddxxxxxxxxxxxxxxxxxxxxxxxxxddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddoollcc::;,,''.'',,,,'''',;::::;;::ccc::;,,,;;;;;,'',;;,,,;;;;;;;;;;;;;,,'''',,,,,'''''''.........''''',;cloc,'''''''''''''''''',,,,,,,,''',,,,,;ld
	ooooooooooooooodddooooooooollllcccccccccccccccccccccccccccccc::::::cccccccccccccccccccccccccccccccccc::::;,,'..',,,,;;;,,,,;;,,;;;,,'',,,,,,,,,,,;,,,,,,,,'''''''..',:clooodddddddddddddddddddddoolc:;,'...',,;,,'''''''''''..'',,;;;;;;;;;;;;,,,,,,,'''',,,,,,,,,;;;;;;;,,',,;;;;;;;;;;;,'',:lodxxxxxxxxxxxxxxxxxxxxxxxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdolcc:;;,,'..'',,;;,,,;:::;;,,,,;::;,,,,,,,,,,''',;;,,;;;;;;;;;;,,,,,''...',''''..''''.............',:cloc;'''''''''''''''''',,;;;,,,''',,,,,;ld
	oooooooooooooooodddooooooollccccccccccccccccccc:::::;;;;,;,,;;;,,,;;;::::::ccccccccccccccccccccccccccc:c::;,...,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,''''''''''''''...',,;:cllloollooooollooooooolc::,,''''',,,,,,,''..'',,,,'..',,;;;;;;;;;;;;;;;;,,''..',,,,,,,,,,,,,,,,,,'',,;,,,,,,,,,,,',:lddxxxxdddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdolllcccc:;,,,,,,''',,,;:::;,,,,,;,,''''''''''...',,,,,,,,,,,,,,,,,,''....'''',,,,,,,'''..........',;::cc:,'''''''''''''''''',,;;;,,'''',,,,,;lx
	oooooooooooooooodooolllllllcccccccccccc:cc::::;;,,''''..'''.''''''''''',',,;;::::cccccccccccccc::::;;;;;;;,'...,,,,,,,,''''',,,''''''''',,''''''''''',,,''''''''...',,,,,,;;;;;;;;;;;;;;;;;::;;;,,'''''',,,;,,,,,'...',,;;;,''',,;;;;;;;;;;;;;;;;,,'''',,,;,,,,,,,,,,,''''''',,,''',,,,,',;:ldxxxxxddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddolllllllcc:::::;,,,,;;:::;,,,;;;;,...''''''....''''''........'''''''......',,,,,,,,''''......'',,,,;;;;;;,'''''''''''''''''',,;;;,,,''',,,,,:ox
	ooooooooooooooodoollcccccccccccccccccc::;;,,''''''''..'''''''''''''''',,,',,,''',,;;:::::::::;;;,,'''',,,,''...''''''''''',,,,,''''.....''',,,,,,,,,,,,,,,,,,''...',;;,,,,,,,,,''',,,,,,,,,',,,''....',,,,,,,,,,'....',,;;;;,,'',,;;;;;;;;;;;;;;,,,'',,,;;;;;;;;;,,,,,,''...'',,,,,,,,,,,;coddxxxxdddddxddxxxxxxxxxxxxxxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddolllllllcccccccccc::::::;,,'',;;,'...'''''....''''''''...'...'''''''......''''''''''.......,;;;;;,,,,;;;,''''''''''''''''''',,,;;,,,'',,,,,,:ox
	ooooooooooooooodoolcccccccccccccccc::;,,''''''''''''''',,,,,,,,,,',,,,,,,,,''''''',,,,,,''''',,,'''''',,,,'''.''''',,,,,,,,,,,,,,,,''..',,,,,,,,,,,,''''''''''...',,,;,,,,;,,,,,,,,,,,,,,,,,''''''..'',,,;;,,,''''''''',,;;;;,'''',,;;;;;;,,,,,,,''',,,;;;;;;;;;;;;;;;;,'''',,,;;;;;,,,;cloddxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdolllllllcccccllllllccccc::;,,,,,.......''.....''''''''''''''''''''''.....',,'''''''''''...';::;;;,,,,;;;,''''''''''''''''''',,,,;,,,'',,,,,,:ox
	ooooooooooooooodooolccccccccccccc:;,,''''''''''''''',,,,,,,,,,'''',,,,,,,,,'''''',,,,'''....'''''',,,,,,,,,'''',,,,,,;;;,,,,,,,,,,,''..',,,,,,,,''''''''''''''...',,,;;,,,,,,,,,,,,,,,,,,,,,''',,,''''',,,,'''',,,,,,,,,,,,;;,''''',,,;;;;,,;,,,''',,,;;;;;;;;;;;;;;;;;,'',,;;;;;;;;;;:coddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdolllllllccccclllllllllllcc::::;,....'..''......''''''''..'''''..........'',,,,,,,,,,,,,''',,;;;,,,,,,;;;,''''''''''''''''''',,,,;,,,'',,,,,,:ox
	ooooooooooooooddooolcccccccccc::;,''''',,,,,''''',,,,,,,,,,,,,,,,,,,,,;,,,''''',,,,,,,,,''','''''''',,,''''''',,,,,,,,,,,''''''''''''...''''',''''',,,,,,,,,''..',;;,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''','''',,;;;;,,;,,',,,,,''',''',,,;;,,;,,,',,;;;;;;;;;;;;;;;;;;;,,'',,;;;;;;;;:clodxxxxxxxxxxdddxxxxxxdddddddddddddddddddddddddddddddddddddddddoooooddxxxxxxxxdolllllllccccclllllllllllccccccc;'.',,,,,''......'''''''..'''''.........',,,,,,,;;;;;;;,''',,,,,,,,,,,;;;,''''''''''''''''''',,,,;,,,'',,,,,,:ox
	ooooooooooooooddooolcccccc:::;,,''.'',,,,,'''''',,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,''''.......',,,,'',,,',,''',,'','''.....'',',,,,,,;,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''..'''',,,;;;;,,;;,,'',,'',,,,,,''',,,,,,,,,,,;;;;;;;;;;;;;;;;;;;,,'',,;;;;;;,;:coddxxxxxxxxxxdddddxxxxddooolllllooooooooolloooooollllllllllloooollc:clodxxxxxxxdolllllllccccclllllllllllcccccc:;''',;;;;,,''....',,,,,,,,,,,,,,,,,,,'.',;;;;;;;;;;;;;;,'.',,,,,,,,,,,;;;,'''''''''''''''''',,,,,;,,,'',,,,,,:ox
	ooooooooooooooddooolcccccc:,'''''',,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,''..''...',,,,,,,;,,,,,,,;;,,,,,,'..'',,,,,,,,,,,,'''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'....',,,,,,,,,,,;;,,'''''',;;;;,,,'''',,''',,;;;;;;;;;;;;;;;;;;;;,'',,,;;;;;;:cloddxxxxxxxxxxxxdddxxxxxddollllllllllllllllllllllllllllllllllllllllc::;;:lddxxxxxdolllllllccccclllllllllllcccccc;,,,,;;;;;,,'',''',,;;;;;;;;;;;;;;;,,'..',;;,;;;;;;;;;;,'..',,,,,,,,,,,;;;,'''''''''''''''''',,,,,,,,,'',,,,,,:ox
	ooooooooooooooodoooolccc:;'...'',,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,,''''',,,;,,,,,,,,,,,,,,,,,,,,,'''',,'..',,,,,;;;,,,;;,,,,,,,,,,'''''''''''''''''''''...',,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,'''....'',,,,,,,,,,;;,,''..'',,,;;;;;,,'''...',;;;;;;;;;;;;;;;;;;;;,,'',;;,,;;;cloddxxxxxxxxxdddddddddddddddolllclllllcccllllllllllclllcllllllllllllllc:;;;:codxxddoolllllllccccclllllllllllccccc:;,,,;;;;;;,,,,,,,'',,,,;;;;;;;;;;;,,'...',;;;;;;;;;;;;;,'..',,,,,,,,,,,;;:;,'''''''''''''''''',,,,,,,,'',,,,,,:ox
	oooooooooooooooooooolc:;,....'',,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,'..',,,,,,,,,,,,,,'',,,,'''''.....'''''',,,,,,''..',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,'''',,,,,,,,;,,,'''''''',,;;;;;,,'....',,,,;;;;;;;;;;;;;;;;,,''',,,,;;:loddxdddddddooooollcccccccllllccccccccccccccllllllllllllccllllllllllllllcc:::::clodddoolllllllccccclllllllllllccccc:,',;;;;;;;;,,,;;,,,,',,,;;,,,,,,,,,'....',;;;;;;;;;;;;,,'..',,,,,,,,,,,;;:;,'''''''''''''''''',,,,,,,,'',,,,,,:ox
	ooooooooooooooooooolc;,......',,,,,,,,,,,''..'',,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,''''',,'''',,,,,,'''''''',,,,,,,,,''....'',,,,,,,,,,,'''',,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,;;;;,,''',,,,,,,,,,'',,,,,,,,,,,,;,,'''''''''',,,,;,,,;;;;;;;;,,'''',,;;:cloddddooollcc:;;;;;,,,,,;;;;;;;;;;;;;;;;;::ccccccclllcccccclllllllllllllllcccc:;;:coddoolllllllccccclllllllllcccc:::;,',;;;;;;,,,;;;;;;,,,,,,,,''''''',,'..',,,,,,,,,,;;;;,'....,,,,,,,,,,,,;;:;,''''''''''''''''',,,,,,,,,'',,,,,,:ox
	oooooooddoooooooool:,'......',,,,,,,,,,,''''''',,,,,,,,,,,,,,,,,,,,,,'''',,,;;,,,,,,,,,,,,,,,,,,,,'''''',,,,'''',,,,,,,,,,,,,,,,,,,,,,,'..',,,;;;,,,,'''',,,,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,'''',,,,,,,'',,,;;;,,,,,,,,,,''',,,,,,,'''''''',,,,,,,,,''...',:clloooolc::;;;;;;,,,,,,,,,,,,,,,,,,,,,,,;;;,,,;;;:::cccccccclclllclllllllllllllllcc:;;:clooolllllllccccclllllllllcccc::;,'',;;;;;,,,,;;;;;;;;;;;;,,,,,,,,,,,,''',;;;,,,,,'',,,''...',,,,,,,,,,,,;;:;,''''''''''''''''',,,,,,,,,'',,,,,,:ox
	oooooooooooooooooc;,........',,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,''',,,;,,,,,,,,,,,,,,,,,,,,,,'''''',,,'''',,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,''...'',,,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,'',,,,;;;,,,,;;,,''''',,;;;;;,,,,''.'''''''''''.....',:ccc::::;;,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,;;;;;;:::cccccccllllllclllllllllcc:;;;;:clllllllccccccclllllllllcccc:;,'..,,;;;;,,,,;;;;;;;;;;;;;;;;;;;;;;,,'',,;;;;,,,,,,,,,,'.'',,,,,,,,,,,,,;;:;,'''''''''''''''''',,,,,,,,'',,,,,,:ox
	oooooooooooodddol:,........',,,,,,,,,,,',,,'''',,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,'''''''',''''',,,,,,,,,,,,,,,,,,,''''''',''''........'',,,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,,,''',,;,,,,,,,,;;,,'...'',,,,;;;;;,,''',,,,,,,,''....'',,;,,,,,,,,,;;;;;;,;;;;;;;;;;;;;;;;;;;;;;;;,;;;,,,,,,;;;,;;;;:::cccllccccllllllllllcc:;,,,;;:ccclllccccccclllllllllcccc:;'..'',,;;;,,,,;;;;;;;;;;;;;;;;;;;;;,,''',;;;;;;;;;;;;;;,'.',,,,,,,,,,,,,,,;;,''''''''''''''''''',,,,,,,,'',,,,,,:ox
	ooooooooddooddool:'........',,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,'''''''',,''''',,,,,,,,,,,,,''''''''...................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''','''',,;;,,,,,,,,;;,,''.''''',,,,,,,,'',,;;;;,,,,,,'''',;;,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,;;;;;;;;;;;;;;;,;;;;;::cccllllllllllccc::;,,,,,;;::cc:::::::ccllcccllllccc:,''','',,,,,,,;;;;;;;;;;;;;;;;;;;;;;,,',,,;;;;;;;;;;;;;,,'.',,,,,,,,,,,,,,,,,'''''''''''''''''''',,,,,,,,''',,,,,:ox
	oooooooddoooooooc;'........',,,,',,,,,,'''''''..'',,,,,,,''''''''''''''''''''',,,,,,,,,,,,,,,,,,,,,,'''''''',,,''''''''',,,'''''''''''........................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'...''',,,,;;;,,,,,;;;,,''',,,''''',,,''''',,,,,,,,,,'''',,;;;;;;;;;;;;;;;;;;;;;;,,,,,;;;;;;,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;,,,;;;;::ccc:::::::;;,,''''''',,;;;;,,,,,,;;;:;;;:::::::;,'',,,,,'''',;;;;;;;,,,,;;;;;;;;;;;;,'',,;;;;;;;;;;;;;,,,'',,,,,,,,,,,,,,,,,,''''''''''''''''''',,,,,,,,,'',,,,,,:ox
	ooooooodooooooooc;'........''''''''''''''''''.....''''''''''''''''''''''''.....''''''''''''',,,,,,,'''''''''''''''''....'''''''''''''...........................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,'.....''''',,,,,,,,,,,,,''',,;,,,,,,,,'...'''',,,,,,,''..',,;;;;;;;;;;;;;;;;;;;;;;,,,,,,;;;,,,,,,,;;,;;;,,,,,;;;;;;;;;;,,;;;;,,,,''',,,,,,,,,''''''''''''''',,,,,,'''''''''''',,,,,,,''',;;,,'...',,;;;;;;,,;;;;;;;;;;;;,,'',;;;;;;;;;;;;;;,'',;;;;;,,,,,,,,,,,,,,''''''''''''''''''',,,,,,,,,,,,,,,,,:ox
	ooooooodooooooooc;'.........'''''''''''''''''''...'''''''''''''',,,'''''''...'''''''''''''''''''''''''''''...''''',,''''''''''...................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''',,,''''',,,,;;,,,'',,,;;;,,,;;,,'''',,,,,,,;;;;,'..'',,;;;;;;;;,,,;;;;;;;;,,,,;;;;;;;;,,,,,;;;;;;;;,,;;;;;;;;;;;;;;;;;;,,,''...'''',,,,,,,,,,,,,,,,,,,,;;;;;;,,,,,,,,,,,,,,,''...',;;,'.....',,,;;;;;;,,;;;;;;;;;,,''',;;;;;;;;;;;;;,,'',::;;,,,,,,,,,,,,,,,''''''''''''''''''',,,,,,,,,,,,,,,,,:ox
	ooooooodooooooooc;'.........'''''',,,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''',,,,,''''.........................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,''',,,;,,'',,;;;;,,,,;;,,'',,,;;,;;;;;;;,'..',,,,,,,,;,,,,,;;;;;;,,,,,,,;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;,,,,,,,,,;;,,'..'''''',,,,,;;;;;;;;;;;;;,'',,,;;;;;;;;;;;;,,'',:c:;,,,,,,,,,,,,,,,,''''''''''''''''''',,,,,,,,,,,,,,;,,:ox
	ooooooodooooooooc;'.........'',,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''''...........................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,,,,''',,,,'',,;;;;,,,,,;;,,',,;;,,,;;;;;;;,'..',,,;;,;;;;;,,;;;;,,,,,,,,,,,;;;;;,,,,,,''''''''''''''''''''',,,,,,,,,,,,,,,,,,,,'''''''''''''''''''''''''''''',,,,,;;;;,;;;;;;;,''''',,,,,,''''',,,,;;;;;;;;,,'',;;;;;;;;;;;;;;,',;:cc:;,,,,,,,,,,,,,,,,''''''''''''''''''',,,,,,,,,,,,,;;,,:ox
	ooooooooooooooool:,..........'',,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,'''''',,;,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''''................................................',,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,;,,,,,,,,,,,''.'''',,,;;,,,;;;;,,,,,,,;,,,,,,,;;;;,'.',,;;;;;;;;;;;;;;;,,,,,,,,,,,,,,'''''''''''''''',,'',''''''''''''''''''''''''''''''''''''''''''''''',''''''''''''''''',,,'',,,,,,,''',,,,,,,,,'''''''',,,,;;;,,,',,;;;;;;;;;;;;,,'',:clc:;,,,,,,,,,,,,,,,,''''''''''''''''''',,,,,,,,,,,,,,,,,:ox
	ooooooooooooodddoc:,'........'',,,,'',,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,''.'',,;,,,,,,,;;;,,,,,,,,''''''''''''''''...................................................,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'....',,,,,,;;;;;;,,',,,;;;,,,,,,,,,,,'.',;;;;;;;;;;;,;,,,,,,,,;,,,,''''''''''',,''',,,,,,,,,,,,''',,'''''''''''''''''''''',,,,,,,,'',,,,,,,,,,,,'',,,,''''''',,''''',,,''..',,,,,,,,,,,,'''''''''''''''',,,;;,;,;;;,,''..';:clc:;,,;;;;;,,,,,,,,,''''''''''''''''''',,,,,,,,,,,,;,,,,:ox
	ooooooooooooodddool:;'........''',,,,,,,,,,,,,''.'',,,,,,,,,,,,,,,,,,,,,,''..',,,,,,,,,,,,,,,'''''''''''''''''........................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,...'',,,,,,,;;;;;,'',,;;;;;;,,,,,,,,'..',;;;;;;;;;;,,,,,,,,,,,,,''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''.''',,,,,,,,,,,,,,,,''''''''...''''''''''',''...';:cllc:;,,;;;;;,,,,,,,,,''''''''''''''''''',,,,,,,,,,,,,,,,,;ox
	ooooooooodddddddoool:;,'.......'',,,,,,,,,,,,,''.'',,,,,,,,,,,,,,,,,,,,,,,'''''''''''''''''''''',''''''''''.............................................................,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.',,,,,,,,,,,,,,,'',,;;,,,,,,,,,,,,'..',;;;;;;;;;;,,,,,,,;;;,''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,''''''''''''''''''''''.',:lllcc:;,,,,;;,,,,,,,,,,,'''''''''''''''''',,,,,,,,,,,,,,,'';lx
	ooooooooooooooddoollcc:;,'......'',,',,,,,,,,,''''''',,,,,,,,,,,,,,,,,,,,'''''......'''''''''',,,,,''...................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,''''',,,,,,,,,,,,;;;;,'.',;;;;;;;;,,,,,,,;;;,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..',:cllllc:;,,,,,,,,,,,,,,,,,'''''''''''''''''',,,,,,,,,,,,,,,,';ox
	oooooooooooooodoooollcc::;,,'.....'',,,,,,,,,,''''''''',,,,,,,,,,,'''''''''''..''...''''''''''''''.......................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,,,'...'',,,,,;;;;;;;;;;,,'',;;;;,,,,,,,,,,;;,,,'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.',:ccclllc:;,,,,,,,,,,,,,,,,''''''''''''''''''',,,,,,,''',,,,,,,:ox
	ooooooooooooooddoollcccccc::;,'.....''',',,,,,,,,,'''''''''''''''''''''''''''',,,,'''''''''...............................................................................,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,;,,'...',,,,,,;;;;;;;;;;,,',,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''';:cccccllc:;,,,,,,,,,,,,,,,,'''''''''''''''''',,,,,,,,''',,,,,,,:ox
	ddoddddooddddoodoolcccccccccc::;,''...'''',,,,''''''''''.......'''''''''',,,,,,,,,,,'.....................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,;;,''',,,;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,''...'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''..';:ccccccccc:;,,,,,,,,,,,,,,,,''''''''''''''''',,,,,,,,'''',,,,,,,:ox
	oooooddddddoodddoolccccccccccccc::;,,''''''''''''''''''''''''.'''',,,,,,,,,,,,,,'''........................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,'',,;;;;;;,,,,,,,;;;;;;;;;,,,,,,,,;;;;,,'''',,,,,,,,,,,,,,,,,,,,,,,,,''..''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.',;::ccccccccc:;,,,,,,,,,,,,,,,,''''''''''''''''',,,,,,,,'''',,,,,,,:ox
	ooooooddooodddddoolcccccccccccccccc::;;,,'....'',''',,,,,,,,'''''''',,,,,,,'''.............................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',;;;;;,,,,,,,,,,,,,;;;;;;;,,,,;;;;;,,'''',,,,,,,,,,,,,,,,,,,,,,''''..'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',;::cccccccccc:;,,,,,,,,,,,,,,,,''''''''''''''''',,,,,,,,'''',,,,,,,:ox
	ooooooooooooodddoolccccccccccccccccccc::;,''..'''',,,,,,,,,,,''''..''''''',''...............................................................................................',;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,'',;;;;;;,,,,,,,,,,,,,,;;;;;;,;;;;;;,''.'',,,,,,,,,,,,,,,,,,,,,,''...'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.',;:::ccccccccccc:;,,,,,,,,,,,,,,,,''''''''''''''''',,,,,,,,,''',,,,,,,:ox
	:::::::::::cloodoolccccccccccccccccccc::::;;;,,'''''',,,,,,,,,,,''....'',,;;;,,,,,,'''''''..................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,;,,'',;;;;;;,,,,,,,,,,,,,,;;;;;;;;;;;;;,'..',,,,,,,,,,,,,,,,,,,,,,'''.'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''...';:cc:::ccccccccc:;,,,,,,,,,,,,,,,,''''''''''''''''',,,,,,,,,''',,,,,,,:ox
	''''''''''',:clooolccc:::::::::cccccccc::::::::;;,,,,,,,,,''''',,,'''',;;::::::::::::;;;;,'.................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,,,,'',;;;;,,,,,,,,,,,,,,,,;;;;;;;;;;;;,,'.',,,,,,,,,,,,,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'....';:ccc::cccccccccc:;,,,,,,,,,,,,,,,,''''''''''''''''',,,,,,,,,''',,,,,,,:ox
	'''''''''''',;:clllccc::::::::::::::cc:::::::::::::::::;;,,,'',,;;;;::cc:::::::::cccccc::;,.................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',;;;;,,,,,,,,,,,,,,,,,,;;;;;;;;;,,,''',,,,,,,,,,,,'''',,,''..'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''....,:clcccccccccllccc:;,,,,,,,,,,,,,,,,''''''''''''''''',,,,,,,,'''',,,,,,,:ox
	'''''''''''''',;:ccccc:::::::::::::::::::::::::cccccccccc:::::::ccccccccc:ccc:::::::ccc:;,'.................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',;;;,,,,,,,,,,,,,,,,,,,,;;;;;;;;,,,''',,,,,,,,,,,''..'''''.'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''...';cllc::cccccclllcc:;,,,,,,,,,,,,,,,,''''''''''''''''',,,,,,,,'''',,,,,,,:ox
	'''''''''''''''',;::cccc:::::::::::::::::::::::::cccccccccccccccccccccccccccc:::::::::::,...................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,''.......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'.'';:cllc:;:cccccccccc:;,,,,,,,,,,,,,,,,''''''''''''''''',,,,,,,,'''',,,,,,,:ox
	''''''''''''''''',;::cc::::::::::::::;;;:::::::::ccccccc:cccccc:cccccccccccccccc:::::::,'...................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,;,,,'..',,,,,,,,,,,''.......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''';:ccllc:;:cccccccccc:;,,,,,,,,,,,,,,,'''''''''''''''''',,,,,,,,'''',,,,,'';ox
	''''''''''''''''',;::c:::::::::::::;;,,;;:::::::c:::::::::cccccccc::::::::::::::::::::;,...................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,;;,,'...',,,,,,,,,,'''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''''',:ccllllc:::cccccccccc:;,,;,,,,,,,,,,,,'''''''''''''''''',,,,,,,,'''',,,,,'';lx
	''''''''''''''''',;;::c::::::::::::;,,,,;::::::cc:::::::::::ccccc::::::::::::::::::c::,'..................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,,,,,,,,,,,,,,;;,,,,;,,'..'',,,,,,,,,'''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''..........''',,:ccllllllcccccccccccccc:;,,,,,,,,,,,,,,,'''''''''''''''''',,,,,,,,,'',,,,,,'';lx
	''''''''''''''''',;;::cc:::::::::::;,,,,;:::::::::::::::::::::::::::::::::::::::::cc:;'...................................................................................,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,;;;;;;;;;;;;;;;,,,,;,,'''',,,,,,,,,''.....''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''.......''''''',,;;;:cclllllllccccccccccccccc:;,,,,,,,,,,,,,,,,''''''''''''''''',,,,,,,,'''',,,,,'';lx
	''''''''''''''''',,;::ccc::::::::::;,,,,;::::::::::::::::::::::::::::::::::::::::ccc:;...................................................................................',,;,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,;;,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;,,,,,,,,,;;;;;;;;;;;;;;;;;,,;,,'',,,,,,,,,,,'.....'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''...'',,,,,,,;;::::::::ccclllccccccccc:::cccccccccc:;,,,,,,,,,,,,,,,,''''''''''''''''',,,,,,,,'''',,,,,'';lx
	'''''''''''''''''',,::ccc:::::::::::;;;;:::::::::::::::::::::::::::::::::::::::::cc::,..................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,;;;,,,,,,;;;;,,,,,,;;,,,,,,,,;;;,,;;;;;;;;;;;;;;;;;;;;,,''',,,,,,,,,,''....'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''',,,,,;::ccccccccclllcc:ccccccccccccccc:;;:cccccccccc:;,,,,,,,,,,,,,,,'''''''''''''''''',,,,,,,,'''',,,,,'';lx
	''''''''''''''''''',::cc:::::::::::::::::::::::::::::::::::::::::::::::::::cccccc:::;,..................................................................................,,,,,,,,,,,,,,,,,,,,,'''''''''........',,,;;;;;;;;;;;;;;;;,,,,,,,,;;;;;,;;;;;;;;;;;;;;;;;;;;;;;;;,,'''',,,,,,,,,''....',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''..''''''',;;:cc:::ccllcclllllllllcc:ccccccccccccccc:;;:cccccccccc:;,,,,,,,,,,,,,,,'''''''''''''''''',,,,,,,,'''',,,,,'';lx
	''''''''''''''''''',;::::::::::::::::::cc:::::::::::::::::::::::::::::::::ccc:::::::;,................................................................................'',,,,,,,,,,,,,,,,,,,,,''''',,,''''''.....'',,,;,,,,,,,,;;;;,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;,'''',,,,,,,,,''...'',,,,,'''..''''''''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''''',;;::::cccccllccccccccccccccccccc::cccccccccccllcc:;;:cccccccccc:;,,,,,,,,,,,,,,,'''''''''''''''''',,,,,,,,'''',,,,,'';lx
	''''''''''''''''''',;:::::::::::::::::::ccc::::::::::::::::::::::::::::::::::::::c::;,................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'......',,,'......',,,,,,,,,,'..........',,;;;;;;;;;;;;;;;;;,,'..',,,,,,,,''....''''......''',,,,,,,,,,,'''''''''''''''''''''''',,,'''',,,,,,,,,,,''...'''''''''''''''',,;;;:::::ccclllllccccccccccccccccccccccccccccccccccllllcc:;;:cccccccccc:;,,,,,,,,,,,,,,,'''''''''''''''''',,,,,,,,'''',,,,,'';lx
	''''''''''''''''''',;::::::::::::::::;;;::::::::::::::::::::::::::::::::::::::::ccc:;,...............................................................................',,,,,,,,,,,,,,,,,,,,,,,,,'''''''''',,,,,''........      ..'',,''................'',,,,;;;;;;;;;;;,,'...',,,,,,,''.......'..''',,;::::::::::::::::::::;;;;;;,,,,,,''''''''''.''''''''''''......'',,;;;;;;;::::ccccccccccccccccccccccccccccccccccccccccccccccccccccllcccc:;;:cccccccccc:;,,,,,,,,,,,,,,,'''''''''''''''''',,,,,,,,'''',,,,,'';lx
	''''''''''''''''''',;:::::::::::::::;;,;;::::::::::::::::::::::::::::::::::::::cccc:;,..............................................................................',,;,,,,,,,,,,,,,,,,,''''..............',,,,'..             ...............''''''....'',,;;;;;;;;;;,'..'',,,,,,,''......',,,,,,,;:ccclllllllllllllllllllccccccc:::::::;;;;;;;;;;;;;;;;;;,,''..'',;:ccccccccllllcccccccc::ccccccccccccc:ccccccccccccccccc::cccllccccclcccc:;;:cccccccccc:;,,,,,,,,,,,,,,,'''''''''''''''''',,,,,,,,'''',,,,,'';lx
	''''''''''''''''''',;:::::::::::::::;,,,;::::::::::::::::::::::::::::::::::::::ccc::;'............................................................................'',,,,,,,,,,,,,,,,'''''''.'''''''...........''''..               .....'',,,,,,,,,,,,'''''',,;;;;;;;;;,'.'',,,,,,,''.....',,,,,,,,,;;:ccclccccccllllllllllccccccccllcccllcccccccccccccccllc:;,,,,,,,;ccccc::ccccccccccccc::::ccccccccccccccccccccccccccccccc:ccccllccccccccc:;;:cccccccccc:;,,,,,,,,,,,,,,,'''''''''''''''''',,,,,,,,''',,,,,,'';lx
	''''''''''''''''''',;::::::::::::::;,,,,;::::::cc:::::::::::::::::::::::::::::cccc::,'...........................................................................',,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,''...........             ...'',,,,,''''....',,,,,,,,,,;;;,,,,,,'..',,,,,,,,'....',,,,,,,,,,,,;:ccclllllllllllllllllccccclllllllllllllllllccccclclllc:;,,,,,,,;ccccc:::cccccccccccc:::cccccccccccccccccccccccccccccccccccccccccccccccc:;;:cccccccccc:;,,,,,,,,,,,,,,,,'''''''''''''''',,,,,,,,,''',,,,,,'';lx
	''''''''''''''''''',;::::::::::::::;,,',;::::::c::::::::::::::::::::::::::::::ccccc:;'..........................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,''''......              ..'''''''............'',,,,,,,,,,,,;,,'''',,,,,,,,'...'',,,,,,,,,,,,,;:ccclllllllllllllllllccccllllllllllllllllllllllllllllc:;,,,,,,,:ccccc:::ccccccccccccc:cccccccccccccc:cccccccccccccccccccccccccccccccccc:;;:cccccccccc:;,,,,,,,,,,,,,,,,'''''''''''''''',,;,,,,,,'''',,,,,'';lx
	''''''''''''''''''',;::::::::::::::;;,,,;::::::::::::::::::::::::::::::::::::::ccc:;,'.........................................................................',,;,,,,,,,,,,,,,,,,,,,,,,,,'''..............''...               .......................',,;;;,,,,,,,,'''',,,,,,,,'....',,,,,,,,,,,,,,;:cccllllllllllllllllllllllllllllllllllllllllllllllllcc:;,,,,,,,:ccccc:::cccccccccccc:::ccccccccccccc:cccccccccccccccccc:ccccccccccccccc:;;:cccccccccc:;,,,,,,,,,,,,,,,'''''''''''''''''',,,,,,,,''',,,,,,'';lx
	''''''''''''''''''',;:cc:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::;'.........................................................................',,,,,,,,,,,,,,,,,,,,,,,''''.......................                ......''',,,,,,,,,''..'',,,;;;,,,,,,'.'',,,,,,,'...'',,,,,,,,,,,,,,,;:ccclllllllllllllllllllclllcclllllllllllllllllllllllcc:;,,,,,,,;ccccc:::cccccccccccc:::cccccccccccc::cccccccccccccccccc:ccccccccccccccc:;;:ccccccccc::;,,,,,,,,,,,,,,,'''''''''''''''''',,,,,,,,,,,,,,,,,'';lx
	''''''''''''''''''',;:cc:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,'........................................................................',,,,,,,,,,,,,,,,,,,,,'''.......''.................              ....''''''''''',,,;;;,,,,'',,,,;;,,;,,'''',,,,,,,''..',,,,,,,,,,,,,,,,,;:ccclllllllllllllllllllllllccllcclllllllllclllllllllcc:;,,,,,,,;ccccc:::cccccccccccc:::ccccccccccc:::cccccccccccccccccccccccccccccccccc:;;:cccccccccc:;,,,,,,,,,,,,,,,,''''''''''''''''',,,,,,,,,,,,,,,,,'';lx
	''''''''''''''''''',;:cc::::::::::::::::::::::::::::::::::::::::::::::::::::::::::;'........................................................................',,,,,,,,,,,,,,,,,,,,'''''''',,,,,,,,,,,,,,,,,,,,'...            ..''''............'',,;;;;,,,,,,,,,,,,'..',,,,,,,'..',,;;,,,,,,,,,,,,,,,;:ccclllllllllllllllllllllllllllcccllllcccccllcclllclcc:;,,,,,,,:ccccc:::ccccccccccc::;::cccccccccc:::cccccccccccccccccccccccccccccccccc:;;:cccccccccc:;,,,,,,,,,,,,,,,,''''''''''''''''',,,,,,,,,,,,,,,,,'';lx
	''''''''''''''''''',;:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::;,.........................................................................',,;,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;,,,,,,,,,,,,,,..          .....................',,;;;;;,,,,,,;,,'..',,,,,'''''';;;;;;;;;;;;;;;,,,,,;:ccclllllllllllllllllllllllllllllccclcccccccclclllclcc:;,,,,,,,:ccccc:::ccccccccccc:;;::cccccccccc:::ccccccccccccclcccccccccccccccccccc:;;:ccccccccc:;;,,,,,,,,,,,,,,,'''''''''''''''''',,,,,,,,,,,,,,,,,,,;ox
	''''''''''''''''''',;:::::::::::::::::::::::::::::::::::::::::::::::::::::::::;,'........................................................................',,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,'..       .......''''',,,,,,'''...',,;;;;,,,,,,;,'..'',,,,''',;clloolllllllllllllc::::ccccllclllllllllllllllllllllllcccccccc::;::cclcclcclcc:;,,,,,,;:ccccc:::ccccccccccc:;;::cccccccccc:::ccccccccccccclccc:cccccccccccccccc:;;:ccccccccc:;,,,,,,,,,,,,,,,,'''''''''''''''''',,,,,,,,,,,,,,,,,,,:ox
	''''''''''''''''''',:::::::::::::::::::::::::::::::::::::::::::::::::::::::;,,'.........................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'....      ...'',,,,,;;;;;;;;;;;,,,'.'',,;;;;;,,,,,'...',,,,''';coxkkkkkkkkkkkkkkkkxdoooolcllllllllllllllllllllllllllllcccccccc:;;;:cclclllllcc:;,,,,,,;:cclcc:::ccccccccccc:;;:ccccccccccc:::cccccccccccccccccccccccccccccccccc::::ccccccccc:;,,,,,,,,,,,,,,,,'''''''''''''''''',,,,,,,,,,,,,,,,,,,;ox
	''''''''''''''''''',:::::::::::::::::::::::::::::::::::::::::::::::::::;;,'...........................................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..          .',,;;;,,;;,,,,,,,,,,,,,,,''',;;;;;;;;,'...',,,'',;:oxkkkkkkkkkkkkkkkkkkkkkkxdllclllllllllllllllllllllllllllcccccccc:;;;:cclclllllcc:;,,,,,,;:ccccc:::ccccccccccc:;;:ccccccccccc:::ccccccccccccccccccccccccccccccccccc::ccccccccc::;,,,,,,,,,,,,,,,'''''''''''''''''',,,,,,,,,,,,,,,,,,,,;ox
	''''''''''''''''''',;::::::::::::::::::::::::::::::::::::::::::::;;;;,,''............................................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..            .',;;;;,,,,,,,,,,,,,,,,,;,,,,,,,,;;;,,,''''',''',:ldkkkkkkkkkkkkkkkkkkkkkkkkxdllclllllllllllllllllllllllllclcccccccc:;;;:cclclllllcc:;,,,,,,,:cccc:::cccccccccccc:;;:ccccccccccc:::ccccccccccccccccccccccccccccccccccc::ccccccccc:;,,,,,,,,,,,,,,,,,,''''''''''''''',,,,,,,,,,,,,,,,,,,,,:ox
	''''''''''''''''''',;:cc:::::::::::::::::::::::::;;;,;;,,,,,,,,,,''''''''...........................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'....              ..,;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,'..'','''',:ldxkkkkkkkkkkkkkkkkkkkkkkkkxdlllllllllllllcccllllllllllllllcccccccc:;;;:cclclllllcc:;,,,,,,,:ccccc::cccccccccccc:;;:ccccccccccc:::cccccccccccccccccccccccccccccccccccc:ccccccccc:;,,,,,,,,,,,,,,,,,,''''''''''''''',,,,,,,,,,,,,,,,,,,,,:ox
	''''''''''''''''''',;::c::::::::::::::::::;;,,'''''....''........'''''''''........................................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,...                   .,;;;;,,,,,,,,,,,,,,,,,,,,;;,,,,,,,'...''''',:ldxxkkkkkkkkkkkkkkkkkkkkkkkkkxdllclllllllclcccccccllllllllclcccccccccc:::ccllccllclcc:;,,,,,,,:ccccc:ccccccccccccc:;;:ccccccccccc:::ccccccccccccccccc::ccccccccccccccc:::ccccccccc::;;,,;,,,,;;,,,,,,,,,,''''''''''',,,;;;;;;,,,;;,,,,,;,,:ox
	''''''''''''''''''',;:::::::::::::::;;,,''.............'''......'',,,,,,,'.......................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'...                    ..,;;,,,,,,,,,,,,,,,,,,,,,,,,,;;,,'''.''''',:ldxkkkkkkkkkkkkkkkkkkkkkkkkkkkkxdllclllllllllccccclllllllllccccccclllcccccccclcclllcccc:;,,,,,,;:ccccccccccccccccccc:;;:ccccccccccc:::cccccccccccccccc::;:ccccccccccccc::::ccccccccccc:::::::::::::::::::::;;;;;;::;;::::::::::;;;::::::::::cox
	''''''''''''''''''',;:::::;;;;;;;;,,''..........''''''''''.....'',,,,,,,,'.....................................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,..                      .',,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,''......,:ldxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxdlcclllllllllllcclcllllllllccccccclllcclllccllcclllccc::;,,,,,,;:ccccccccccccccccccc:;;:ccccccccccc:::cccccccccccccccc:;;:ccccccccccccc::::ccccccccccccccccccccccccccccccccc:ccccccccccccccccc::::ccccccccc:ldx
	'''''''''''''''''''',,;;,,,,''''''.........''''''''''''''.....'''',,,,,,,'....................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'.                      ..',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''..',;ldxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxdlcclllllllllllllllllllllllcccccccllllcccclccclllcccccc:;,,,,,,,:ccccccccccccccccccc:;;:ccccccccccc:::cccccccccccccccc:;;:cccccccccccccc:::cccccccccccccccccccccccccccccccc:::cccccccccccccccc:::cccccccccccldx
	''''''''''''''''''''''''..............''''''''''''''''''......',,,,,,,,,,'..................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..                      .',,,,,,,,,,,,,,,,,,,,,,,,,,,,,'....'',;cldxxdddxxkkkkkkkkkkkkkkkkkkkkkkkkkkkxdlcclllllllllllllllllllllllccccccclllllcccccccccccccccc:;,,,,,,;:ccccccccccccccccccc:::cccccccccccc::ccccccccccccccccc:;;:ccccccccccccccc::::cccccccccccccccccccccccccccccc:::cccccccccccccccc:::ccccccccc::ldx
	'''''''''''''''''''''..........'''''''''''''''''''''''''.....',,,,,,,,,,,'................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..                     ..,;;,,,,,,,,,,,,,,,,,,,;;;,,,''...'',;:cclodolccloddxxkkkkkkkkkkkkkkkkkkkkkkkxdlcclllllllllllllllllllllllllllllccccclllcccccccccccccc:;,,,,,,;:cccc::cccccccccccc:::ccccccccccccc:cccccccccccccccccc:;;:ccccccccccccccc:::ccccccccccccccccccccccccccccclcc:::ccccccccccccccc:::::cccccc:::ldx
	'''''''''''''''............'''''''''''''''''''''''''''''.....',,,,,,,,,,,'..............................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..                   ...',;,,,,,,,,,,,,,,,,,,,,,,,,'...'';::cccclllllccc:::ccodxkkkkkkkkkkkkkkkkkkkkkxdlccllllllllllllcccllllllllllllllcccccllllccccccccllllc:;,,,,,;::ccccccccccccccccccc::ccccccccccccc:::cccccccccccccccc:;;:cccccccccccccc:::ccccccccccccccccc:ccccccccccccccc:::ccccccccccccccc:;;;:ccc::::::ldx
	''''''''''''.............'''''''''''''''''''''''''''''''.....',,,,,,,,,,,,''.........................................................'',,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,..                 ...',,,,,,,,,,,,,,,,,,,,,,,,''.....,;:ccclllllllclcc::;;;;:codxkkkkkkkkkkkkkkkkkkkxdlccllllllllllllllllllllllllllllllllllllccccccccclllllcc::;;;;::cccccccccccccccccccccccccccccccccc::::cccccccccccccccc:;;:cccccccccccccc:::ccccccccccccccccc::cccccccccccccc:::ccccccccccccccc::;;::::::::::ldx
	'''''''''..............'''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,'........................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..             ...',,;;,,,,,,,,,,,,,,,,''''''....',;:cclllllllllllccc::;;;;;;:cldxkkkkkkkkkkkkkkkkkxdlcclllllllllllllllllllllllllllllllllllllcccccccccllllccccccccccccccccccccccccccccccccccc:;;;::ccc:;;:cccccccccccccccc:;;:cccccccccccccc:::ccccccccccccccccc:ccccccccccccccc:::ccccccccccccccc::::ccc:::ccc:ldx
	''''''.........'''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,'.....................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'...       .....',,,;,,,,,,,,,,,,,,,,,,,,,,''.'',;:ccclllllllllllcccc::;;;;;;;;:cldxkkkkkkkkkkkkkkkxdlcclllllllllllllllllllllllllllllllllllllllcccccccccllcccccccccccccccccccccccccccccclllcc:;,,,;:::;;;:ccccccccccccccccc::cccccccccccccc::::cccccccccccccccc::cccccccccccccc::::ccccccccccccccc::::ccc:::ccccldx
	'...........''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,;,,'..................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'.......'',,,,;,,,,,,,,,,,,,,,,,,;,,,,,''',;::ccclllllllllllllcccc::;;;;;;;;;;:cldxkkkkkkkkkkkkkxdlcclllllllllllllllllllllllllllllllllllllllllcccccclllccccccccllclllccccccccccccccccccccc:;,,,,,;;;;::ccccccccccccccccc::ccccccccccccccc:::cccccccccccccccc:;:ccccccccccccc:::;:cccccccccccccc::;::cc::::c::ldx
	........''''''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,,,'..............................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,,,,,,,,,,,,,;;;,,,''',;:cccccllccllllllllllcccc::;;;;;;;;;;;;:codxkkkkkkkkkkkxdlccllllllllllllllllllllllllllllllllllclllllclllllllllllllllllllcclllcllccccccccccccccccc:;,,,,,,,,,;:ccccccccccccccccc::ccccccccccccccc:::ccccccccccccccc:;;:ccccccccccccc:;;;::ccccccccccccc:;;;:ccc::cc::ldx
	.....'''''''''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,,,,,'.........................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,',,;:cccllllllllllllllllllcccc::;;;;;;;;;;;;;;:cldxkkkkkkkkkxdlccllllllllllllllcclllllllllllllllllllllllllllllllllllllllllllllllccccccccccccccccccccc::;,,,,,,,,,,;:::cccccccccccccc::ccccccccccccccc:::cccccccccccccccc:::ccccccccccccc:;;;::ccccccccccccc::;;:ccc::ccc:ldx
	.'''''''''''''''''''''''''''''''''''''''''''''''''''''''.....'',,,,,,,,,,,,,,,,,,'.....................................'',,,,,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;:ccclllllllllllllllllllllllccc:;;;;;;;;;;;;;;;;:cldxkkkkkkkxdlcclllllllccccclllllllllllllllllllllllllllllllllllllllllllllllllllccccccccccccccccccccc::;,,,,,,,,,,,,;;:::cccccccccc:::ccccccccccccccc:::cccccccccccccccc::cccccccccccccc::::::ccccccccccccc::;;:cc::::cc:ldx
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,'................................''',,,,,,,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,,,'''',;::ccllllllllllllllllllllllcllccc:;,,;;;;;;;;;;;;;;;:codxkkkkkxdlcclllllllccccccllllllllllllllllllllllllllllllllllllllllllllllllllccccccccccccccccccccc::;,,,,,,,,,,,,,,,;;:cccccccc::::ccccccccccccccc:::ccccccccccccccccc:ccccccccccccccc:::::ccccccccccccc::;;:cc:::::::ldx
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....',,,,,,,,,,,,,,,,,,,,''............................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,,,,,'''',;;:cccllllllcllllllllllllllllcllcc::;,,;;;;;;;;;;;;;;;;;:loxkkkkxdllclllllllcccclllllllllllllllllllllllllllllllllllllllllllllllccclcccccccccccccccccccccc::;,,,,,,,,,,,,,,,,;:::cccccc::::ccccccccccccccc:::ccccccccccccccccc:ccccccccccccccc:::::cccccccc::cccc:;;::::::::::ldx
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,,,,'....................''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,'''''',;::ccccclllcclccccccccccllllllcccccc:;;;;;;;;;;;;;;;;;;;;:coxkkkkxdllcccccccllllllllllllllllllllllllllccccccccllllllllcllllccccccccccccccccccccccccccccccc::;,,,,,,,,,,,,,,,,,;;;;::ccc::::ccccccccccccccc:::ccccccccccccccc:::ccccccccccccccc:;;::ccccccccccccc:;;;::::::::::ldx
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,;;,,''...............'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''',;:ccccccccclccccccccccccccccccccccc::;;;;;;;;;;;;;;;;;;;;:coxkkkkxdlccc:ccclclllcccllllllllllllllllllcccccccccccllllcccllcccccccccccccccccccccccllccccccccc:;,,,,,,,,,,,,,,,,,,,,,;;:::::::ccccccccccccccc:::cccccccccccccc::;;:cccccccccccccc:;;;:cccccccc:cccc:;;;::cc::::::ldx
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,;,,,,''......'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,,,,''''''',,''',;::cccccccccccccccccccccccccccccccc::;;;;;;;;;;;;;;;;;;;;:coxkkkkxdlc:;;;:clllccccccclllllllllllllllllccccccccccllllccclllccccccccccccccccccccclcclcccccllc:;,,,,,,,,,,,,,,,,'''',,,;;:::::ccccccccccccccc:::ccccccccccccccc:;;:cccccccccccccc:;;;:ccccccc:::ccc:;;;::c:::::::ldx
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....''',,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,'',,,;;;,,'',,''',;::cccccccccccccccccccccccccccccccc::;;;;;;;;;;;;;;;;;;;;:coxkkkkxdl:;;,,:cllcccccccccllllllllllllllllllllllllllllllllllcllllllllccllcccccclllcccclcccccllc:;,,,,,,,,,,,,,,,,'''',,,,;;::::ccccccccccccccc:::ccccccccccccccc:;;:cccccccccccccc:;;;ccccc::::::::::;;;::::::::::ldx
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,,,,,,'',;::cc:;,''''''',;:ccccccccccccccccccccccccccccccccc::;;;;;;;;;;;;;;;;;;;;:coxkkkkxdlc;;,,:cllccccccccccccllllllllllccccclllcccllllcccllcccllcccccclllccccccllcccccccccccllc:;,,,,,,,,,,,,,,,,,,,,,,,,;:::::ccccccccccccccc:::ccccccccccccccc:;;:cccccccccccccc:;;;cccc:::::::::::;;;::::::::::ldx
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,''',,;::ccccc:;,''''''',;:ccccccccccccccccccccccccccccccccc::;;;;;;;;;;;;;;;;;;;;:coxkkkkxdlc:;,,:cllccccccccccccllllllllllccccccccccccllllllllcllcccccccccccccccccccccccclcccccllc:;,,,,,,,,,,,,,,,,,,,,,,,,;:::::ccccccccccccccc:::cccccccccccccc::;;::ccccccccccccc:;;;:cc::::::::::::;;;:::::::c::ldx
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''',,;::cccccccc:;,''''''',::cccccccccccccccccccccccccccccccccc::;;;;;;;;;;;;;;;;;;;:coxkkkkxdlc;;,,:cllcccccccccccclllllllllllllccccccccccccccccccccccccccccccccccccccccccclllccccccc:;,,,,,,,,,,,,,,,,,,,,,,,,;:::::ccccccccccccccc:::cccccccccccccc:::;:cccccccccccccc:;;;:cc::::::::::::;;;::::::ccccldx
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''',',,;:cccccccccccc:;,''''''',;ccccccccccccccccccccccccccccccccccc::;;;;;;;;;;;;;;;;;;;;:ldkkkkxdlc:;;;:cllcccccccccccclllllllllllllccccccccccccccccccccccccccccccccccccccccccccccccccccc:;,,,,,,,,,,,,,,,,,,,,,,,,;:::::cccccccccccccc::::ccccccccccccccc::::cccccccccccccc:;;;:cc::::c:::::;;;;:::::::::::ldx
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''..'',,,;;::;;:cccccccccccccc:;,''''''',:ccccccccccccccccccccccccccccccccccc::;;;;;;;;;;;;;;;;;;;;;cdkkkkxdlcc:::ccccccccccccclllllllllllllllcccccccccccccccccccccccccccccccccccccccccccccccccccccc:;,,,,,,,,,,,,,,,,,,,,,,,,;;::;;:ccccccccccccc::::ccccccccccccc:::;;:cccccccccccccc:;;;:cc:::ccc::::;;,;;::::::::::ldx
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''...''''',;::ccccc:;:cccccccccccccc:;,''''''',:ccccccccccccccccccccccccccccccccccc:;;;;;;;;;;;;;;;;;;;;;;cdxkxkxdlcccccccccccccccccclllllllllllllllccccccccccccccccccccccccccccccccccccccccccccccccccccc::;,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;:ccccccccccccc::::cccccccccccc::::;;:cccccccccccccc:;;;:c:::::::::::;;,,;::::::::::ldx
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''...'',,;;;;;:cccccccc:;:cccccccccccccc:;,''''''',;:cccccccccccccccccccccccccccccccccc::;,,,;;;;;;;;;;;;;;;;;:looooolccccccccccccccccccclllllllllllllllccccccclccccccccccccccccccccccccccccccccccccccccccccc::;,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;:ccccccccccccc::::cccccccccccc::::;;:cccccccccccccc:;;;:::::::::::::;;,;;::::::::::ldx
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''..''''',,;::cc::;;::ccccccc:;:cccccccccccccc:;,''''''',;:cccccccccccccccccccccccccccccccccc::;;;;;;;;;;;;;;;;;;;;;;:cccccccccccccccccccccccccllllllllllllccclcccccccllccccccccccccccccccccccccccccccccccccccccccc::;,,,,,,,,,,,,,,,,,,,,,,,,,;::;;:cccccccccccc::;::cccccccccccc::::;;:ccccccccc::::::;;;:::::::::::::;;;;:::::::::::ldx
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......''',,,,,,,,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''.''''',,,;;;;;:ccccc::;;:::cccccc:;::ccccccccccccc:;,''''''',;:cccccccccccccccccccccccccccccccccc:::;;;;;;;;;;;;;;;;;;;;;::cccccc:::;;:cccccccccclllllllllllllccccccccccccccccccccccccccccccccccccccccccccccccccccccccc::;,,,,,,,,,,,,,,,,,,,,,,,,,;:::::cccccccccccc:;;::ccc::::::ccc::::;;:cccccccc:::::::;;;:::::::::::::;;;::::::::::::ldx
	''''''''''....'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''.......''',,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''..''',,;::::::;;;;:cccc::;;::::cccc:;;;:cccccccccccc::;,''''''',::cccccccccccccccccccccccccccccccccccc:::::::::::::::::::::::ccclccc:;;,,;ccccccccccllllllllllccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:;,,,,,,,,,,,,,,,,,,,,'''',;:c::ccccc::::cccc:;;::ccc:::::::cc::::;;::c:::::::::::::;;;:::::::::::::;;;::::::::::::ldx
	''''...''......'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''........''',,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''.....'',;;;;:::::::;;;;:::::::;;::::cccc:;,;::ccccccccccc:;,'''''''',::cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccclccc:;,'',:cccccccccclllllllllclllcccccccccccccccccccccccccccccccccccccccccccccccccccccclcc:;,,,,,,,,,,,,,,,,,,,,'''',;::::ccccc:::::::::;;::ccc:::::::::::::;;;:::::::::::::::;;;:::::::::::::;;;::::::::::::ldx
	`,
	`0000000OOOOOO00000000OO00000000000000000OOOOOOOOO00000OO0000000000000000000000000000000000O00000O000OO000OOO00OO00000OO00000000000000000000OOO000000000000000000000000000000000OOOO00000000OOOO0000000000OOOOO000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000OOOO000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000OOkxdxO0
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	dddddddoodddddddddddddddddddddoddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxdddddddddddddddxxxxxxxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddxxxdddddddddddddddddddddddddolc::::cloxO0
	dddddddooddddddddddddddddddddddddddoooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxdddddddddddxxxxxxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddddddolcccccclodxO0
	ddddddddodddddddddddddddodddddddddddooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxddxxdddddddddddddddxxdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxdddddddddddddddddddxxxddddddddolc::llc:coddxO0
	ddddooooooodddddddddddooodddddddddddoooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxxxxddxxxddxxxxdddxxxddddddddddxxxxddddoc:;::llcclododkO
	oooooooooooooooddddddddooddddddddddoooooooooooodddddoddoodddddddddddddddddddddddddddddddddddddddddddddddddddxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxddddddddddddddddddddxxxxxxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxddddddxddddxxddddxxxddddddddddxdddddolc:;:clccclllc:cdk
	oooooooooooooooodddddddddddddddddddoooooooooooodddoooddodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddxxxxxxxdddddddddddddddolc:;;:cll:;:cc:;;:dO
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	oooooooddoooddddddddddddddddddddddddooddoooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddxddddddddxxxddddddddxxddddddddddddddddoc:;;:cccc::;;:ccclodO0
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	ooooooddddooooodddddddddddddodddoddddooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxdddddddxxxxxxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdolllllcccccccclcccccccccccccccccc:::ccc::::::::c:::c:::;::clllcc::::ccccllcc:;:coddddddxO0
	ooooooddddooooddddddddddoooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddolc::::;;;;;;;;:;;::;;;;;;;:::::;;;;;;;;;;;,,,;;;;;;;;;,,,,,;;;;;;;:cllccllc;;:lodddddddxO0
	oddddoooooooddddddddddddoooooooooooooooddddddddddddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddoc::;;;;;;,,,,;;;;;;;;;,,,;;;;;;;;,,,,;;;,,,,,,,;;;;;;;;,,,''....',;cloolccc:::lddddddxddxO0
	dddddddoddddddddddddddoooooooooooooooooodddddddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxdxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddolcc:;;;;;;,,,,,,;;;;;;;,,,,,;;;;;;,,,,,;;;;;,,'',,;;;;;;;;,''......';:ccccc::clodddddddxddxO0
	ddddddddddddddddddddddooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxdddddddddddddddddddxxxxdddddxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddolllllcc::;;;;;;;,,,,,;;;;;;;,,,,,,;;;;;;,,,,,;;;;;,,'',,;;;;;;;,,'.......'',,,,,;:clddddddddddddxO0
	ddddddddddddddddddddddddoooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxddddddxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdolc:::::;;;;;;;;;;;;,,,,;;;;;;;,,,,,,;;;;;;,,,,,;;;;;,,,,,,;;;;;;,,'''',,''''''....,;coodddddddddddxO0
	ddddddddddddddddddddddddoooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxdddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddol:;;;;;;;;,;;;;;;;;;,,,;;;;;;;;,,,,,,;;;;;;,,,,,;;;;;,,,,,;;;;;;,,''',,,,'''''.....',;:clooddddddddxO0
	ddddddddddddddddddddddddooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddolc:;;;;;;;;,,,;;;;;;;;,,,,;;;;;;;;,,,,;;;;;;;,,,,,,;;;;,,'',;;;;;,,'''',''''''''....'''',,;:cloodddddxO0
	ddddddddddddddddddddddddooooooooooooodddoddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxdxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddooolc:;;;;;;;;;;,,,;;;;;;;;,,,,;;;;;;;;,,,,;;;;;;;,,,,,,;;;;,,'',;;;;;,''''''...''''...''''''''',,;:clooddxO0
	dddddddddddddddddddooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddollccccc:;;,,,;;;;;;;;,,,;;;;;;;;,,,,;;;;;;;;,,,,;;;;;;;,,,,,;;;;;,,'',,;,,''''''.....''''',,,,,,,''''''',,;:clodO0
	ddddddddddddddddddoooooooooooooooooooddddddddddddddddddddooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:;;;;;;;;,,,,;;;;;;;;;;,;;;;;;;;;,,,,;;;;;;;,,,,,;;;;;;;,,,,,;;;;;,,',,,,'....'''.......'',;;;,,,,,,,,,,,,'',,;:lx0
	dddddddddddddddoooooooooooooooooooooodddoddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxdddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddoc:;,,,;;;;,,,,,;;;;;;;;;;,;;;;;;;;;,,,,;;;;;;;,,,,,,;;;;;;,,,,,;;;;;,,,,,'.....''''......'',;;;;,,,,;;;;,,,,'''''';ok
	dddddddddddoooddoooooooooooooooooooooddddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxdddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddlc;;,,,,,;;;,,,,,;;;;;;;;;;,;;;;;;;;;,,,,;;;;;;;,,,,,,;;;;;;,,,,,,;,,,,'''.....''''''....'',,,;;;,,,,,;;;;;,,,''''..,lx
	ddddddddddddddddddooodddddddooooooooodddodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxdddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddol:;;,,,,,;;;;,,,,,;;;;;;;;;;,;;;;;;;;;,,,,;;;;;;;,,,,,,;;;;;;,,,,,,,''''........''''''....',,,;;;,,,,,,,;;;;,,,''''..,ld
	ddddddddddddddddddddddddddddddddooooodddodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddooc:;;;,,,,,,;;;,,,,,;;;;;;;;;;;;;;;;;;;;,,,;;;;;;;;,,,,,,,,,,,,,,,,''''''''.......',,,'....',,;;;;;,,,,,,,;;;;,,,''''..,lx
	dddoooddddddddddddddddddddddddddddddddddodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddollcccccccccccccccc::;;;;,,,,,,;;;,,,,,;;;;;;;;;,,;;;;;;;;;,,,;;;;;;;;,,,'',,,,,'''''''',,,,,,'''....',,,'...',,,,,,,,,,,,,,,;;;;,,,''''..,lx
	dddooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxdddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddlc;,,,,,,,,,,,,,,,,,;;;;;;,,,,,,;;;,,,,,;;;;;;;,,,,;;;;;;;;;,,,;;;;;;;;,,'''',,,,,'''..',;;;;;,,',,,''''''..'',,,,,,,,,,,,,,,,,;;;;,,''''..,lx
	ddooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc;,'''''''''''''''',,;;;;;,,,,,;;;;,,,,,;;;;;;;,,,,,;;;;;;;;,,,,;;;;;;;,'''',,,,,,,,''.',,;;;;,'',;;,,'.....'',,,,,,,,,,,,,',,,;;;;,,''''..,cd
	ddoooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxddddxxddddddxxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxdoc;,'''''''''''''''',,;;;;;,,,,,;;;;,,,,,;;;;;;;,,,,;;;;;;;;,,,,,;;;;;,,'''',,,,,,,,,''''',,,,,,',,;,,,,,''...''',,,,,,,,,,'',,,;;;;,,''''..,cd
	ddooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc;'''''''''''''''',,;;;;;;,,,,,,;;;,,,,,;;;;;;;,,,,;;;;;;;;,,,,,;;;;;,'..'',,'',,,,,,''.'',,,,,,,;,,',,,,,'''''''',,,,;,,,,,,,,;;;;,,''''..,cd
	ddoooooooooooddddddddddoodddddddddddoooddddddddddddddddddddddddddddddddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc;'''''''''''''''',,;;;;;;,,,,,,;;;,,,,,;;;;;;;,,,,,;;;;;;;;,,,,;;;;,'..'',,,,,,,,,,,,,''''',,,,,,,,,,,;,,,',,'....'',,,,,,,,,,;;;;,,''''..,cd
	oooooooooooooooddddddoooodddddddddddooooodddddddddddddddddddddddddooooooooodddddddddddddddddddddodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc;''''''''''''''''',,;;;;;,,,,,,;;;,,,,,;;;;;;;,,,,;;;;;;;;;,,,,;;,,''..'',,,'''',,,,,,'....''''',,,,;;,,,,,,,,'.....',,,,,,,,,,;;,,,''''..,cd
	ooooooooooooooooooooooodddddddddddddooooooodddddddddddddddddddoooooollllllllllllllllllllooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxddddddddxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxdl:;''''''''''''''''',,;;;;;,,,,,,;;;,,,,,;;;;;;;,,,,;;;;;;;;;,,,,;,,'''''''',,,,,,,,,,'.....'''...'',,,,,,,,;;,,'',,''..'','',,,,,,,,'''''..,lx
	ooooooooooooooooooooodddddddddddooooooooooooooddddddddooollccccccllllllllllcc::::::::::::::cccccccccclllooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxxxxxxxxxdlc;''''''''''''''''',,;;;;;,,,,,,;;;,,,,,;;;;;;;,,,,;;;;;;;;;,,,,,,'''',,'',,,;;;;;;,,'....',,,''.''''..',,,,,,,,,,;,,'..''''',,,,,,''''''..,lx
	ooooooooooooooodddooodddddddddddoooooooooooooodddddddoollc::;:::cccccccllllc::;;;;;::::::ccc:;;;;;;;::::::cllooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxddxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxxxxxxxxxdlc;''''''''''''''''',,;;;;;,,,,,,;;;,,,,,;;;;;;;,,,,;;;;;;;;;,,,,'''',,,''',,,;,,,,,,,'...',,;;,,'''''..''''''',,;;;;,'...'''',,,,;,''''''..,lx
	ooooooooooooooooddooodddddddddddoooooooooddoodddddddoooolllcclllllc:;;;;:::;;;;;::::::::cclllc::;;;;;:::::;;:ccclllllloooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxxxxxxxxxdl:,''''''''''''''''',,;;;;;,,,,,,;;;,,,,,;;;;;;;,,,,,;;;;;;;,,,'''.'',,,,'',,,,,,,,,,''..',,;;;,,,,,,,',,,''.',,,;;;;,'..''''',,,,;,,'''''..,lx
	ooooooooooooooooodooodddddddddddoooooooooddodddddddddddoolllccccccc:;;;;;;;;,;;,;::::;;;;::ccccccc::::ccccc::::ccc::::cclllloooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxdddddddxxxxxxxxxxxxxxxxxxxxxxxxdddddddoooollllllllllllllllloooodddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxxxxxxxxxdl:,''''''''''''''''',,;;;;;,,,,,,;;;,,,,,;;;;;;;,,,,,;;;;;;;,,''..''',,,''',,;;;;;;,''..',,;;;;,,,,,,,,,;;,'',,;;;;,,'...','',,,,,,,,,'''...,lx
	ooooooooooooooooodooodddddddoooooooooooooddoddddddddddooc:;;;;;::::::::::;;,,,''',;;;;;;;;;::::clclllcccclllllcc:ccccc:::;::cllooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxddddddddddddxxxxxxxxxxxxxxxxxxxdddoollcc::;;;;;,,,,,,,,,,,,,,;;;::cllodddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxxxxxxxxxdl:,''''''''''''''''',,;;;;;,,,,,,;;;,,,,;;;;;;;;,,,,,;;;;;;,,''.''''','''..',,,,;,,,'..',,;;,,,,,,,,,',,;;,,',,;;;,,'''',,,,,,,,,,,,,,''....,lx
	ooooooooooooooodddooodddddddddooooooooooooooodddddddddoocc:::cccc::;;;,,;;;;;;;,,;;;;;;,,;;::::cllllooollcccllllcc:ccccc::;::ccccclloooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxdddddddxxdddxxxxxxxxxxxxxxxdddoolc:;;;;,,,,,,,,,,,,,,,,'''''',,,,,'',;:clodddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddxxxxxxxxxxxxxdl:,''''''''''''''''',,;;;;;,,,,,,;;;,,,,;;;;;;;;,,,,,;;;;;;,,'..',,,,,''''''',,,,,''..'',,,,,,',,,,,,,,;;,,,,,;;;;,'..',,,,''',,,,,,,'''....,lx
	ooooooooooooooodddooooodddddddddooooooooooooodddddddddddoooooolc:::::::cclllllllllllllllllllllllllllllllc:::::cccccc:ccccc:::::cc:::::ccloooddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxdddddddxdddddxxxxxxxxxxxxdddolc:;,'''''',,,,,,,,,,,,,,''''',,,,;;,,'''',,;:clodddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxxxxxxxxxdl:,''''''''''''''''',,;;;;;,,,,,,;;;,,,;;;;;;;;;,,,,,;;;;;;,,'..,,;,,,,,,,,,,,,,,,''',,,,,'''''',,'',,,,,,,,,;;;;,,'''',,,,''',,,,,,,'''....,lx
	ooooooooooooooodddooooodddddddddooooooooooooodddddddddddddddoooolloooooddddddddddddddddddddddddoooooooolllllcccclllcc:::::cc:::::ccccccc:::clodddddddddddddddddddddddddddddddddddddddddddddddddddxxdddddddddddddddddddddddxxxxxxxxxddolc:;,,,'''''..........''''''',,,,,;;;;;;;,,''',,,;;:cloddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdl:,''''''''''''''''',,;;;;;,,,,,,;;;,,,;;;;;;;;;,,,,,;;;;;;,''.'',,,,,,'',;;;;;;;,,,,;;,,,,,,,,,,'''',,,,,,,;;;;;,'''',,,,'''',,,,,,''''....,lx
	ooooooooooooooodddooooodddddddddoooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooooollllc:;;;::ccccccccllcc:;;;::ccloddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxdddolc:;,,,,,,,,'''''''......'',,,,,,;;;;;;;;;;;;,,,,,,,,,,;;:loddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdc;,''''''''''''''''',,;;;;;,,,,,,;;;,,,;;;;;;;;;,,,,,;;;;;,,''',,,,,,,,'',;;;;;,,,,;;;,,,,,,;;;,,'''''''',,;;;;;,,''',,,,,'''',,,,,,'''''...,lx
	ooooooooooooooodddooooodddddddddddooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooooollccc:cccllc:::ccclllc::;;;:cllooddddddddddddddddddddddddddddddddddddddddddxxxdddxddddddddddxxdddddddddddddoc:;,,,,,,,,,,'''',,,,,,''''''',;;;;;,,;;;;;;;;;;,,''',,;,,,,,;clodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdc;,''''''''''''''''',;;;;;;,,,,,,;;;,,,,;;;;;;;;,,,,,;;;;;,,''',,,,,,,'''',,,,,,,,,;;;,,,,;;;;;,,',,,,,',,;;;,,'''',,,,,,,,''',,,,,,'''''...,lx
	ooooooooooooooooooooooodddddddddddooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooollllc::::cccloolc:;;::cccclloddddddddddddddddddddddddddddddddddddddxxxxddxddddddddddddddddddddddddol:,'..'''''''',',,,,,;;;;;,,,,''',,;;,,,,,,,,;;;;;,,'..',,;;,,',,;clddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdc;,'''''''''''''''',,;;;;;;,,,,,;;;;,,,,;;;;;;;;,,,,,;;;;;,,'''',,,,'''''''''''',,,,,,,,,;;;;,,,,,,;,,,,,,;;,,'..',,;;;,,,,''',,,,,,'''''...,lx
	ooooooooooooooooooooooodddddddddodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooollccccc::cllllc::::c::;;;cclooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoc;,'..........',,,;;;,,,,,;,,,,,''',,,,,;;,,,;;;;,,,,'...',;;;;,,,,,;coddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdc;,'''''''''''''''',,;;;;;;,,,,,;;;;,,,,;;;;;;;;,,,,;;;;;;,,'',,,,,,,',,,,,,''',,,,''',,,;;;,,,,,,;,,,,,;;,,''.'',,;;;;;;,,''',,,,,,'''''...,lx
	ooooooooooodddddddddddooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooollcccccllllccc::;;;;;;;;:cloodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddol:,'',,,'.......'',,,;;;,,,,,;;;;;,,''',,;;;;;;;,,,,'''''...',;;;;;,,'',:coddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdc;,'''''''''''''''',,;;;;;;,,,,,;;;;,,,,;;;;;;;;;;;;;;;;;;,,'',,,,,,,,,,;;,,,,,,,,,''',,,,,,',,,;;;,,,,,;;,''.'',,;;;;;;;,,''',,,,,,''......,lx
	odddddooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddodddddddddddddddddddddddddddddddddddddddddddddddddddooolc:::::::::::::ccc::;;;:cloodddddddddddddddddddddddddddddddddddddddddddddddddddddddol;,,,,;,,,''',,,''.'',,,;;,,,,;;;;;;,,''',,,,,,,,,,''',,,''..'',,;;;;,,'.';coddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdc;,'''''''''''''''',,;;;;;;,,,,,;;;;,,,,;;;;;;;;;;;;;;;;;;;,,'.',,,,,,,;;;;,,,,;;,,,,,,,,,'..',,,,,,,,;;;,,''''',,;;;;;;;;,''',,,,,,''''....,lx
	odddddoooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooollc::cccccc::ccccc:;,,;:cloodddddddddddddddddddddddddddddddddddddddddddddddxdddoc;,',,;,,'''',,,,,,,'''',,,,,,,;;;;;;;,'....'''''',,,,,;,,,''''''',,;;,,'..';clddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdc;,'''''''''''''''',,;;;;;;,,,,,;;;;,,,,;;;;;;;;;;;;;;;;;;;,,'..,,,''',,;;;,,,;;;,,,,;;;,,''',,,'''',;;;,,,''''',,;;;;;;;,,''',,,,,,''''''..,lx
	odddddooodddddoooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooollcc::::::::cllc:;;;:cllloodddddddddddddddddddddddddddddddddddddddddddxxddoc;,,,,;,,''''''.'',,,,,,''',,,,,;;;;;,,'.....',,,,,,;;;;;,,,''',,,''',,,,''''',:lodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdc;,'''''''''''''''',,;;;;;;,,,,,;;;;,,,,;;;;;;;;;;;;;;;;;;;,,'..',,'..',,,,,,;;,,,,,;;;;,,',,;;,'',,,;;,,,,,,,,,,,;;;;;;,,,''',,,,,,''''''..,lx
	ooooooooddddddooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooollcccc::::ccllc:::ccllccloddddddddddddddddddddddddddddddddddddddddddxdol:,',,,,,'''','.....',,;,,,'''''',,,,,'''''''',,;;;;;;;;;;,,,''',;,,,,,''''',,,,,;lddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdc;,'''''''''''''''',,;;;;;;,,,,,;;;;,,,,;;;;;;;;;;;;;;;;;;;,,'..'',,''',,,'',,,,,,,;;;;,,,,,;;,,,,,;;,,,,,,,,,,,,,;;;;;;,,,''',,,,,,''''''..,lx
	oddddddooddddoooooooooodddddddddddddddodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooooodddddddddddddoooolc:;;;:cccc::cc::::cllooddddddddddddddddddddddddddddddddddddddddl:;,',,,'''',,,'.    ...',,,,'...''''',,,,,,,'',,,;;;;;;;;;,,,''',;;;,,,,'..',,,,',:lddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdc;,'''''''''''''''',,;;;;;;,,,,,;;;;,,,;;;;;;;;;;;;;;;;;;;;,,'..'',,,,,,,,'''''''',;;;,,,,,;,,,,,,,,,''',,;;;,,,,,;;;;;;,,,''',,,,,,''''''..,lx
	dddddddddoddddddoooooooddddddddodddddoddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddollcc:;;:clodddddddddddddddoolc:;;::ccc:;;;:ccccclloddddddddddddddddddddddddddddddddddddddoc;,,,,,'''',,,,..       ..',,,''''',,,,;;;;;,,,',,;;;;;;;;;,,,''',;;;;;;,,..',,,,'';:ldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdc;''''''''''''''''',,;;;;;;,,,,,;;;,,,,;;;;;;;;;;;;;;;;;;;;,,'..',,,,'',,,,''....'',,,,,,,;,,,',,,,,''',,;;;;,,,,,,;;;;;,,,''',,,,,,,,''''..,lx
	oooodoooddddddddoooooooooddddoooddddoooddddddddddddddddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddolc:;,,''',,;:loddddddddddddddddoolcc::ccc::::cllllllllloddddddddddddddddddddddddddddddddddol;'',,'''''',,,'..         ...'''''',,;;;;;;;;,,'',,;;;;;;;;;,,'',,;;;;;,,'...',,,,,',coxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc;,'''''''''''''''',,;;;;;;,,,,,;;,,,,,;;;;;;;;;;,;;;;;;;;;,,...',,,,,'''',,,'.......'',,,,'''',,,'''',,;;;;;,,,,,,;;;;;,,,''',,,,,,,,''''..,lx
	ddddddddddddddddooooooooooooooodddddooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooc:;;,,''''''.,:lodddddddddddddddddddollccccccc::;:lollc::loodddddddddddddddddddddddddddddddl:,..'''.'''',,''..             .....'',,;;;,,;;,'',;;;;;;;;;;,,',,,;;;;;,''..'',,,,,'':oddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc;,'''''''''''''''',,;;;;;;,,,,,;;,,,,,;;;;;;;;;,,;;;;;;;;;,,....',,,,,,,,,,,,'........'''''''''''..',,;;;;;;,,,,,,;;;;;,,,''',,,,,,,'''''..,lx
	ooooooodddddddooooooooooooooooodddddoooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddol:;,,,,,'..','',;coddddddddddddddddddddoooolllllc:;;:clcc:;::cllodddddddddddddddddxxddddddddoc;''',,,''',,,,,,'.                 ....',,;;;;;,'',,;;;;;;;;,,'',,,,;;;,,'',,''',,,'.';lddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxoc;''''''''''''''''',,;;;;;;,,,,,;;;,,,,;;;;;;;;;,,;;;;;;;;;,'...',,,,,,,;;;,,'...........'',,,,'...',,;;;;;;;,,,,,,;;;;;;,,''',,,,,,''''''..,lx
	llcccloooodddddoooooooooooooooodddooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddol:,'''''''..''''';:lddddddddddddddddddddddddoooollcc::::cc::;;;:cclooddddddddddddddddddddddddl;''',,,,,'',,,;,,,..     ....          ...',,;;;,'''',,;;;;;;,,'',;;;;,,,,,,,,,,''''''';codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxoc;''''''''''''''''',,;;;;;;,,,,,;;;,,,,;;;;;;;;;;,;;;;;;;;;,'...',,,,,,,,,,,,''........'''',,,''..'',;;;;;;;;,,,,,,;;;;;;,,''',,,,,'''''''..,lx
	:;;;;:clooddodddooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooc:,''''''''..''''',:loddddddddddddddddddddddddddddolc:,,,:ccllc::;;;:clooddddddddddddddddddddol;,,,,;,,,'',,,,;;,'.    .':cl:'.         ...'',,,,''',,;;;;;;,,',,;;;;,,'',,;,,,,''',,,:codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddoc;''''''''''''''''',,;;;;;;,,,,,;;;,,,,;;;;;;;;;;;;;;;;;;;,,'...',,,,,,,,,,,'''..................'',,,;;;;;;;,,,,,,;;;;;;,,''',,,,,,''''''..,lx
	;,,,,;:cloddodddoooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooc;,'...'''''''',''',:lodddddddddddddddddddddddddddddoolc:;,,;:clc:;;;;;;::clodddddddddddddddddlc,',,;;,,''',,;,;;,'.     .;oOOxoc,.          ..''''',,,;;;;,'''',,;;,,,'',,;;;;,,'',,',;codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddo:,''''''''''''''''',,;;;;;;,,,,,;;;,,,,;;;;;;;;;;;;;;;;;;;,,'...',,,,,;,,,,,,,'.................',,,,,,;;;;;;,,,,,,;;;;;;,,''',,,,,,,'''''..,ld
	;,,,,,:cooddddooddoooddoooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddolc;,'''...''....''''';:lddddddddddddddddddddddddddddddddddolc;;;:ccc:::cc::;;:lodddddddddddddddol:,',,;;,,''',,,,,;,'..     .ck0K0Oxo:'...       ....',,,;,,,'..',,;;;,,'',,,;;,''',''...':ldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddo:,''''''''''''''''',,;;;;;;,,,,,;;;,,,,;;;;;;;;;,,;;;;;;;;,,'..''''''',,;;;;;,,''...............,,,,,,,;;;;;;,,,,,,;;;;;;,,''',,,,,,,,,'''..,cd
	;,,,,,:coodddoodddooodddoooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddol:;,''''...''...''''',;codddddddddddddddddddddddddddddddddddddolcllllcccccc::;;:clooddddddxxddddoc;,',,;;,,''',,,,,,,''..     'cxOKK00Oxdoc,.        ..'',,,,''..',;;;,,'',,,,,''......  ..:ldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddo:,''''''''''''''''',,;;;;;;,,,,,;;;,,,,;;;;;;;;;,,,;;;;;;,,''''''''''',,,,,,,,,''...............,,,,,,;;;;;;;,,,,,,;;;;;;,,''',,,,,,,,,,''..,lx
	;,,,,,:coodddoodddooodddooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddol:;,,,,,'...'...'',,'',:loddddddddddddddddddddddddddddddddddddddddooolllc:;;::::;;cllooodddddddxdl:;,,,,;,,'''',',,,,,,''..     .:xO0KKKKK0Oxl,.       ..'',,,,,''',,,,''''''.....        .'codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddo:,''''''''''''''''',,;;;;;;,,,,,;;;;,,,;;;;;;;;,,,,;;;;;;,,''',,'''',,,,,,,,,,,'................'',,,;;;;;;;;,,,,,,;;;;;;,,''',,,,,,,,,'''..,lx
	;,,,,,:coodddoodddooodddoooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddol:,,,,,,,,...'....''''',:loddddddddddddddddddddddddddddddddddddddddddooollc:;;:c:;;:ccllllloddxdddl:,,,,,,,'..'',,,;,,;;;;,..     .;ok0KKKKKK0Oxc'.     ..',,,;;,,,''.........             .,codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddo:,''''''''''''''''',,;;;;;;,,,,,;;;,,,,;;;;;;;;,,,,,;;;;;,,,,,,,'.'',,,,,,,,,,,,''............''..',,,;;;;;;;,,,,,,;;;;;;;,''',,,,,,,,''''..,lx
	;,,,,,:clooddoodddoooddddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddol:,..''''''...''..'''''',clodddddddddddddddddddddddddddddddddddddddddoddddolc:::clllc::ccc::cloddddl;,'''',,,'''',,,,;;;;;;,'..      .:dkO00KKKK0ko,.    ..',;;;;;,'...            .....    .;ldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddo:,''''''''''''''''',,;;;;;;,,,,,;;;,,,,;;;;;;;;,,,,,;;;;,,,,,,,'',,,,,,,,,,,,,',,''...........''....',;;;;;;;,,,,,,;;;;;;;,''',,,,,,,'''''..,cd
	;,,,,,:cloooddodddoooddddooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooc:,'.'',,'''...'''',,,''';codddddddddddddddddddddddddddddddddddddddddddddddddolc::cool::;::;;,;:coooc,''',,,,,,,,'',,,;;;;;;;,'..      ..;ldkO000K0kl,.    .',;;;;,'..       ...'',:cool:'  ..:oxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddo:,''''''''''''''''',,;;;;;;,'',,;;;,,,,;;;;;;;;,,,,,;;,,,''',,'',,,;;;;,,,,,,,'',,,'................',,;;;;;;,,,,,;;;;;;;;,''',,,,,,''''''..,cd
	,,,,,,:cloodddddddoooddddoodddddddddddddddddddddddddddddddddddodddddddddddddddddddddddddddddddddddddddddddooc:;,'..'',,,''''....'',,''';codddddddddddddddddddddddddddddddddddddddddddddddddddolcccc::;;:c::;,,;:::;'.',,;;;;;;,,,',,;;;;;;;,,'...       .',;coxkkxl'     .',;;;,'.       .':ldxkkOO0Oo;.. .,cdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddo:,''''''''''''''''',,;;;;;;,',,;;;;,,,,;;;;;;;;,,,,,;;,'''''''',,;;;;;;;;;;,,,,,,;;,'................',,;;;;;,,,,,,;;;;;;;,''',,,,,,''''''..,lx
	,,,,,,:clodddoddddoooddddoodddddddddddddddddddddddddddddddddddoooodddddddddddddddddddddddddddddddddddddddolc;,''''...'''..''....'''''..,:loddddddddddddddddddddddddddddddddddddddddddddddddddddoolc:;;;::cllc:;;;,'..',;,,,,;;;,,'',,,;;,,,'''''...         ...'''..    ..',,,,'.     ..;ldk00KKKK0ko;.  .'codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdl:,''''''''''''''''',,;;;;;;,,,,;;;;,,,,;;;;;;;;,,,,,,,,',,,'..',,;;;;;;;;;,,',,,;;;;,'......'.........',,;;;;,,'',,;;;;;;;,''',,,,,,''''''..,lx
	,,,,,,:cooddooodooddddddddddddddddddddddddddddooododddddddddddoooodddddddddddddddddddddddddddddddddddddddoc;,'''''''.'''...'...'',,,,'.,:lodddddddddddddddddddddddddddddddddddddddddddddddddddddddoolc:;;:clllc;;;'..',,,,,,,;;;,''',,,,'''',,,,,,'...                  ...',,'..    .:okO0KKK00Oxo;..  ..:odxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdl:,'''''''''''''''',,;;;;;;;,,,,;;;;,,,,,;;;;;;,,,,,,,'',,,,''.'',,;;;;;;;;,,',,;;;;;,,'....'''.........',,;;;,,,'',;;;;;;;,''',,,,,,''''''..,lx
	;;,,,,:coodddoodoodddoooooddddddddddddddddddddooooooddddddddooooooooddddddddddddddddddddddddddddddddddddol;'''''''''......''....'',,''',:lodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoc:;;;:c::;;,..',,,,,,,,;,,,'''''',,,,;;;;;;,,,'....       .........''''..    .,oO000OOkxl:,..   ..;lddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddl:,'''''''''''''''',,;;;;;;;,,,,;;;;,,,,,;;;;;;,,,,,,'',,,;,,,,,,,,,,,,,,,,,''',,,,,;,,'....','..........',;;;,,,'',;;;;;;,,''',,,,,,''''''..,lx
	;;,,,,:coodddooddoooooooooddddddddddddddddddddooooooodddddddoooddddooodddddddddddddddddddddddddddddddddoc:,'''',''''.....'''....''''''',;clddddddddddddddddddddoolllllllloddddddddddddddddddddddddddddddol:::::::,'..',,,,,,,,,,,'....',,;;;;;;;;;;;,,,''.....''''''''..',,,,'..    ..;cllc::;'.      ..;lodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddo:,'''''''''''''''',,;;;;;;;,,,;;;;;,,,,,;;;;;,,,,'''',;;,,,,;;;;;,,,,,,,,,''',,,,,,;,,,'....''..........'',,;,,,',,;;;;;;,,''',,,,,,''''''..,lx
	;;;,,,:coodddooddoodddooodddddddddddddddddddddoooddooodddddooooddddddooddddddddddddddddddddddddddddddooc;'',,,,,,''''...''''....',,'''.',:loddddddddddddddddoolc:;,,,,;;;:loodddddddddddddddddddddddddddddoolccc:;'...'',,,,,,,,'''''',,,,,,;;;;;;;;,,,''''',,,;;;;,,''',;;;;,,......  ....         ..';coddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddl:,'''''''''''''''',,;;;;;;;,,,;;;;,,,,,,;;;;;;,,'''',,;;,,',,;;;;;;;;;;;,,,,,,,;;;;;;,,'..................',,,,,,,,;;;;;;,,''',,,,,,''''''..,lx
	;;;,,,:coodddoodddddooooooddddddddddddddddddoooooddooooooooooooooddddooooddddddddddddddddddddddddddddoc;,'',,,,,''......'''''....'''''.'';loddddddddddddddolc:;,,'''''''',;:ldddddddddddddddddddddddddddddddddolc:,....',,,,,,''',,,,,,,'',,,,;;;,,,,''',,,,;;;;;;;,'',,,;;;;,,''','.....       ...',,,;ldddxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddl:''''''''''''''''',,;;;;;;,,,,;;;;,,,,,,;;;;;;;,''',,;,,,'',,;;;;;;;;;;;,,,,,;;;;;;;;;,,''......'..........',,,''',;;;;;;,,''',,,,,,''''''..,lx
	;;;;,,:coodddoodddddooooooodddddddddddddddddoooooooooooooooooooooooooooooooooddoodddddddddddddddddddol:,''',,''''''''...''''''...'','''',;coddddddddddddol:;,'''''''''''.',;ldddddddddddddddddddddddddddddddddddlc;'.''',,,,,'',,,;;;;,,,,'',,,;;,,'''',,;;;;;;;;,,,'',;;;;;;,,'',,,,,,''....'''',,,,,,:ldddddddodddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxddl:''''''''''''''''',,;;;;;;,,,,,;;;,,,,,;;;;;;,,''',;;;,,,,,,;;;;;;;;;,;;,,',;;;;;;;;;;;,,''''...'..........',,,''',;;;;;;,,''',,,,,,''''''..,cd
	;;;,,,:coodddoooooooooooooooddddddddddddddddodddooooooooooooooooooooooooooooooooooodddddddddddddddddoc,''''''''....''...'',,''...'',''''';codddddddddddl:;,'''',,,,''''''';cldddddddddddddddddddddddddddddddddxddl:,''''''',,,,,;;;;;;;;;;,,'',,''''',,,;;;;;;;;,,'',,,;;;;;;,,'',,;;;;;,,''',,;;;;;,,,;clolllllllllllllllllllllllllllllllllcccclooddxxxxxxxxxxxxxddl:''''''''''''''''',,;;;;;;,,,,,;;;,,,,,,;;;;;,''',,;;;,,,,;;;;;;;;;;;,;;,'',;;;;;;;;;;;,,'',,'..''''........'','',,;;;;;;,,''',,,,,,''''''..,cd
	;;;,,,:coooddoooooooooodddddddddddddddddddddodddooooooooooooooooooooooooooooooooooooddddddddddddddool:,'''''''.....'''..''''''...'',,'''',:lodddddoddol:,'''','''''''''',;cloddddddddddddddddddddddddddddddddddddoc,''''..'',;;,;;;;;;;;;;;;,,''..'',,;;;;;;;;;;,,',,,;;;;;;;,,'',,;;;;;;,,'',,;;;;;,,,;cllcccccccccccccclllllllllllcccccccc:;;;;:coddxxxxxxxxxxxxddl:''''''''''''''''',,;;;;;;,,',,;;;,,,,,,;;;;;,'',,;;;,,,;;;;;;;;;;;;;;;;,'',;;;;;;;;;;;,,'',;,...'''........''''',,;;;;;;,,,,,,,,,,,''''''..,cd
	;;;;,,:loodddoddddoooooooddddooooddddddddoooodddooooooodddooodddooooooooooooooooooooddddddddddddddooc;''''''''...'',,''''''',,''''',,,'''',:lodddoodol:,''',,,,,,'''..',:loddddddddddddddddddddddddddddddddddddddoc,'''...',,;;;;;;;;;;;;;;,,,'''''',,,,,,;;;;;;,,',,;;;;;;;;,,'',,;;;;;;,,''',,;;;,,,,;clllccccccccc::cclllcccccccccc:::ccc:;,,,;::loddxxxxxxxxxxddl:''''''''''''''''',,;;;;;,,,,,,;;;;,,,,;;;;,,'',,;;;,,,,;;;;;;;;;;;;;;;;,'',;;;;;;;;;;;,,'',;,'...''..........'',,;;;;;;;,,,,,,,,,,,''''''..,cd
	;;;,,;:looddddddoooooooddddddoooooooodddddoooooodddddoodddooodddooooooooooooooooooooddddddddddddddooc;''',,,,,''.''''''''',,,,,''.'',,''''',coddoooooc;,'',,,,,,,''..';coddddddddddddddddddddddddddddddddddddddddoc;'''''''',,,;;;;;;;;;;;,,'',,,,,,,,,,,,,,,;,,,'',,;;;;;;;;,,'',;;;;;;;;,''',,;;,,'',;clllccccccccc::ccccccccccccccc:::ccc:;;;,,;;:cloddxxxxxxxxddl:,'''''''''''''''',;;;;;;,,,,,,;;;,,,,,;;;,''',,;;;,,',,;;;;;;;;;;;;;;,,,,,,;;;;;;;;;;;,,'',;,,'..''..........''',,;;;;;;,,,,,,,,,,,''''''..,cd
	;;;;,;coooooddooooooooodddddddooooooodddddoooooodddddoooodddddoooooooooooooooooddddoooddddoooodddddol:,',,,,,,'..'''''''.'',,,'''...'''''..';cooddool:,'',,,,,,''''',:lodddddddddddddddddddddddddddddddddddddddddol;''',,,,''',,,,;;;;;;,,,,,,,;;;;;,,,,,''',,,''',,;;;;;;;;,,,'',;;;;;;;;,,''',,,''.',;cllccccccccccc:ccccccclccccccc:::cccc:;;,,,;;;:coddxxxxxxxddl:,'''''''''''''''',;;;;;;,,,,,,;;;,,,,,;,,''.',;;;,,,,,,;;;;;;;;;;;;;;,,,,,,;;;;;;;;;;;;,'',;;,'........''....'''',,;;;;;,,,,,,,,,,,''''''..,cd
	;;;;;:coooddddooooooooodddoooooooddoodddddoooooodddddoooodddddoooooooooooooooooddddddooooooooooddddol:,'',,''''..'''''''..'''',''..'''''''..';coddooc;''',,,'''''.';cldddddddddddddddddddddddddddddddddddddddddddoc;''',,;;,,,',,,,;;;;,,'',,,;;;;;;;;;;,,,,'''.'',,,,,,,,,,,,''',,;;;;,,,,,'''',''..';:ccccclcccccccccccccccllllccccc:::cccc:;;,,,,;;;coddxxxxxxxddl;''''''''''''''''',;;;;;;,,,,,,;;;,,,,,,,'...'',,,'',,;;;;;;;;;;;;;;;;,,,,,;;;;;;;;;;;;;,'',;;,'.......',,'....''',,,,;;;,,,,,,;;,,,''''''..,cd
	;;;;;:coodddddddoooooooooooooooooddddoodddoooooooddddooooodddooooooooooooooooooddddddooooooooooddddol:'''''''''''''''''''''',,,,,'',,,,,,,''.';lodoc:,..',,''''''',coddddddddddddddddddddddddddddddddddddddddddddl:,''',,;;;;,,,,,,,;,,,'',,;;;;;;;;;;;;;;;,''...',,,,,,,,,''''''',,,,,,,,,'...'''''',::ccclllcccccccc:cclccclllllcccc:::cccc:;;,,,,,;;coddxxxxxxxddl;''''''''''''''''',;;;;;;,,,,,,;;;,,,,,,'..'',,'''..',;;;;;;;;;;;;;;;;,'',;;;;;;;;;;;;;;,'',,,,........'''....'''',,,;;;;;,,,,,,;,,,''''''..,cd
	;,,,,:coooodddooooooooooooooooooooooooooooooooooodddddoooooooooooooooooooooooooddddooooooooooooodddol:,'''''''''''''''',,,,,,,,,,,,,,,,,,,,'..,:clc;,'''',,'''''',:lodddddddddddddddddddddddddddddddddddddddddddoc;,''',,;;;;;,,,'',,,,'',,;;;;;;;;;;;;;;;;,,''',,,,,,,,,,,''....'',,,,,,,,'...',,,,;;:cccclllccccccc::cclllllllllllccc::cccc:;;,,,,,;;coddxxxxxxxdol;''''''''''''''''',;;;;;;,,,,,;;;;,,,,,'''',,;;,,'..',,;;;;,;;;;;;;;;;,'',;;;;;;;;;;;;;;,'',;,'........'......'',,,;;;;;;;,,,,,,;,,,''''''..,cd
	;,,,,:coooodddooooooooooooooooooooooooooooooooodddddddoodddddooooooooooooooooooddooooooooooooooodddoc:,'',''',,'',,,,,,,,,,,,,,,,'''''''''''''',,,,'.'','''''''',;cldddddddddddddddddddddddddddddddddddddddddddoc;,,,'',,;;;;;;,,,''''',,,;;;;;;,,,,;;;;,,,,,,,,,;;;;;;;;;;,,''',,,,,,,,,,,,''',,,,;:cccclllllllllccc::cclllllllllllccc::cccc:;;,,,,,;;coddxxxxxxxdoc;''''''''''''''''',;;;;;;,,,,,;;;;,,,,,''',,;;;,,''''',,,;;;,;;;;;;;;;,'',;;;;;;;;;;;;,,,'',;,..........'''...'',,,;;;;;;;,,,,,;;,,,''''''..,cd
	;,,,,:coooodddooooooooooooooooooooooooooooooooodddddddooodddddooooooooooooooooooooooodddoooooooddddol:,'','',,,,,,,,,,''''','''''''''''''',,,''....''''''''''''',clodddddddddddddddddddddddddddddddddddddddddol:,'',,,'',,;;;;;,,,'..'',,;;;;;,,,,;;;;;;,,''',,;;;;;;;;;;;;,,'',;;;;;;;;;;;,,''',,;:cccccllllllllllcccccclllllllllllccc::cccc:;;,,,,,;;codxxxxxxxxdoc;''''''''''''''''',;;;;;;,,,,,;;;;,,,,''',,;;;;,,',,,,,,,,,,,,;;;;;;;,''',,;;;;;;;;;;,,,''',,'.........'',''.'',,,;;;;;;;;,,,,,,;,,,''''''..,cd
	;,,,,:cooodddddddooooooooooooooddddddddddooooodoooodooooooooddddddoooddddddooddddooodddddddddddodddol:,'',,,,,,,'''''''''',,,,,,,,,,,,,,,,,,''....''''''''''''.';loddddddddddddddddddddddddddddddddddddddddooc;''',,,,,'',,;;,,,,''''''',,,;;;;;;;;;;;;;,,''',;;;;;;;;;;;;;,,'',;;;;;;;;;;;,'..',;:cccccclllllccclccccccclllllllllllccc::cccc:;;,,,,,,;coddxxxxxxxdoc;''''''''''''''''',,;;;;;,,,,,;;;;,,,''',,;;;;;,'',,;;,,,,''',,,,;;,,''..',,,,;;;,,,,,,,'..............''...'',,,,,;;,;;;;;,,,,,,,,,''''''..,cd
	;;,,;:cooodooddodooooooooooooooddddddddddoooooddooodoooooooddddddooodddddddooddddooodddddddddddoddddoc,',,,,,,'''''',,,,,,,;,,,,,,,,,,,,,'''',''''''''''''''''';:ldddddddddddddddddddddddddddddddddddddddooc;,'''',,;;,,'',,;;,,,'',,,,,,,,,,,,;;;;;;;,,,''',,;;;;;;;;;;;;,,,',,;;;;;;;;;;;,'...,;:cccccclllllccclccccccclllllllllllccc::cccc:;;,,,,,,;:cloddddxxxdoc;''''''''''''''''',,;;;;;,,,,,;;;;,,'..',,;;;,,,,,,;;;;;,,'''''',,,,,''.'',,,,,,,,,,,,''......'............',,,,,,;;;;;;;;;,,,,,,,,,''''''..,cd
	;;;;;:cooodoodoodooooooooooooooddddddddddooooooddoddoooooooddodddodddddddddddddddooodddddddddddoddddoc;,,'''',,,,,,,,,,,,,,,,''''','''''''',,,,,''''''''''''..,:loddddoodddddddddddddddddddddddddddddddolc;,..',,'',,;,,'',,,;,,,,,,;;;;;,,''',,,;;;;;,''',,,;;;;;;;;;;;;,,'',,,;;;;;;;;;;;,'..',:::;;;:::::cccccccc:::cclllllllllllccc::cccc:;;,,,,,,,;;:ccloddxxdoc;''''''''''''''''',,;;;,,,,',,,,,,''...',,,,,,''',,,,,,'''',,''''',,'...'',''',,,,,,'''......'''..........',,,,,,;;;;;;;;;,,,,,,,,,,''''''..,cd
	;;;;;:cloodddddddooooooooooooooodddddddoooooooododdddoooodddddddoodddooodddddddddddddddddddddddoodddoc;'''',,,;;,,,,'',,,,''''''',,,,,,'',,,,,,'''''.'''''''..',:clooooodddddddddddddddddddddddddddoolc:;'...',,,''',,,,'''''''',,;;;;;;;;;,,,,,,,,,,,,'',,,;;;;;;;;;;;;;,,',,;;;;;;;;;;;;,,'..,;::;,,,,,,,;;;;;;::;;;;::cccccccccccc::::cccc:;;,,,,,,,,,;;;::coodol:,'..'''''''.......''''''''.....''''......''''''''''''''''''''''''''''.....'''''''''''''......'''........'',,;,,,;;;;;;;;;;,,,,,,,,,,''''''..,cd
	;;;;;;:cclloooodddoooooooodoooooddoodddoooooddddddoooooooooooooooooddddddddoddddooddddddoodddddoodddoc;''',,,,,,,,''''''''',,,,'',,,,,,,,,,,,'''''''..''''''...',,;::cllooodddddddddddddddddddddoolc:;,'...',,;,,'''''''''''..'',,;;;;;;;;;;;;,,,,,,,'''',,,,,,,,,;;;;;;;,,',,;;;;;;;;;;;,,''.',;;;,,,,,,,,,,,,,,,,,,,,;;;;::::::;;;:;;;:::::;;,,,,,''''',,,,',,:cc:;'...............................'''.....''''''''',,,,,,,,,''''''''''......'''''''''''''...............',,,;;;,,,,;;;;;;;;;,,,,;;;,,,''''''..,cd
	::::;;;;;;:cloodddoooooooodooooooddodddooooooooolllccc::::::::cccclloooooooodddddddoooddooddoooooooooc;,,',,,,''''',,,,,,,,;;;,'',,,,,,,,,,,''',,,,'''''''''''',,,,'',,;:cllooollooooollooooooolc:;,,''''',,,,,,,''..'',,,,'..',,;;;;;;;;;;;;;;;;,,''..',,,,,,,,,,,,,,,,,,'',,;,,,,,,,,,,''.'',;:;,,,,,,;;;,,,;;;,,;;::;;;,,,,,;,,,,;;,,,;;;;;;;;,,'.....''''...',,,,'....................................'',,,,,''.',,,,,,,,,,,,,,,,,'''.....'',,,,,'''''''..........'''',,;;;;;;,,,,;;;;;;;;;;,,,;;;;,,,''''''',ld
	cc::;;,,,;:cloodddoooooooooooooooddoooooollccc::;,,''''''''''',,,,;;;:ccclllooooddddddddoooooollllccc:,''''''',,,,,,,,,,,,,,,,,''''''',,,,,,,,,,,,,'''''''...',,,,,,,,,,,,;;;;;;;;;;;;;;;;;::;;;,,'''''',,,;,,,,,'...',,;;;,''',,;;;;;;;;;;;;;;;;,,'''',,,;,,,,,,,,,,,''''''',,,'',,,,,''...'',;:::;,,,;::::;;;::;,,,;;;;;;;;;;;::::;;,,,;;::::c::;,'.....'''.'''''''...................'....'''''''......''',,'''''',,,''''''',,,,,,,,,'.....',,,,,,,,,,,''.....',,,;;;;;;;;;::::;;;;;;:::::::;;;;:::::;;;;,,,,,:ox
	cc::;;,,,,;:coodddooddoooodooooodddooolcc:,''''''.....'''''''''',,,,,,,,,;;::clloooooooollcc::;;;,,'''''...'',,,,,,,,,,,'''',,,''...''',,,,,,,,,,,'''''''''...',;,,;;;,,,,,,,''''',,,,,,,,,',,,''....',,,,,,,,,,'....',,;;;;,,'',,;;;;;;;;;;;;;;,,,'',,,;;;;;;;;;,,,,,,''...'',,,,,,,,,,'',;::::::::;,,,;;::;;;;;,,,,,,;;::::::;;;;;;;;;;;;::::::::;,'''......''''''....................'''''''............'''''...''''''''''''''''''''''.....''''''',,'''''..',;:ccccccccccccccccccccccccccccccccccccccccccccccclxO
	cc::;,,,,,;:cloddoooddooooodoooodoolc:;,''''''''''''''',,,,,,,,,,',,,,,,,,,'',,;::cccc:;,,,,,,,,''''''''''',,,,,,,''''''''''',,,'''''',,,,,,,''''''''','''''''',;,,,;;;,,,,,,,,,,,,,,,,,,,,,''''''..'',,,;;,,,''''''''',,;;;;,'''',,;;;;;;,,,,,,,''',,,;;;;;;;;;;;;;;;;,'''',,,;;;;;;;,;;::ccccccccc::::::::;;;;;;,,,,,,,,;;;;;;,;;;;;;;;;;;:::;;;;,''',,'''...'........................'''''...............''''''',,,,,,,,,,,,,,,,,,''''...'',,,,,,,,,,,,,,'',;:clllllllllllllllllllllllllllllllllllllllcllllllloxO
	::::,,,,,;;:clodoooooooooooooooolc:;,,'''''''''''''',,,,,,,,,,'''',,,,,,,,''''''',,,'''..'''',,,,,,,,,,,'',,,,,'''''',,,,,,,,,,,,,'''',,,,''''''',,,,,,'''''..',,,,,,;;;,,,,,,,,,,,,,,,,,,,,''',,,''''',,,,'''',,,,,,,,,,,,;;,''''',,,;;;;,,;,,,''',,,;;;;;;;;;;;;;;;;;,'',,;;;;;;;,,,,;:cclllllllccc:cccccc::::c::;;;;,,,,,,,,,;;;;,,'',,;;;;;,,,'..'''''''''''''''...................''''''''''',''...'''''''''',,;;;;;;;;;;;;;;;,,,,,,'..,,;;;;;;;;;;;;,,,,,:cllllllllllllllllllllcccccccccccccccccccccccclllloxO
	:::;,,,,,;;:clodooooooooooooool:;'''''',,,,,''''',,,,,,,,,,,,,,,,,,,,,;,,,''''',,'''''''''''',,,,'',,,,,''',,,,,,,,,,,,;;;;,,'''''''.'''''',,,''',,,,,''''....',,,,,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''','''',,;;;;,,;,,',,,,,''',''',,,;;,,;,,,',,;;;;;;;;;;;;;;;;;;;,,'',,;;;;;;;,,;;:clllccclllcc::ccccccccccccc::;:::::::::::::::;,,,;;::::;;;,''',,,,,,,,,,,,,,''...............'',,,,,,,,,,;,,'..',,,,,,'''',,;;;;;;;;;;;;;;;;;;;;,'.',;;;;;;;;;;;;;;,',;:clllllllllllllllccccccccccccccccccccccccccccccllloxO
	::::;,,,,;;:clodooooooooooolc:,'...'',,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,''''''''''''''...'',,,,,,,,,,,,,,,'''''''...''',,,,,,,,'',,,,'''..'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''..'''',,,;;;;,,;;,,'',,'',,,,,,''',,,,,,,,,,,;;;;;;;;;;;;;;;;;;;,,'',,;;;;;,,;;;:ccclllccclllccccccccccccccclcc:cccclllllllllllcc:::ccccccccc:;,,,,,,,,,,,,,,;;,,'''''''''''''''',,,;;;;;,,,,,''.',,;;;;,,'''',,,;;;;;;;;;;;;;;;;;;,'.',;;;;;;;;;;;;;,''';ccllllllllllllllccccccccccccccccccccccccccccccccccoxO
	::::;;,,,;::cooddooooooolc:;,'..'',,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,'''''....'',,,,,''',,,'''''''''''''''''',,,,,,,,'''''''''.'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'....',,,,,,,,,,,;;,,'''''',;;;;,,,'''',,''',,;;;;;;;;;;;;;;;;;;;;,'',,;;;;;,;;;::cccclllllllllccccclllllccccclccccccllllllllllllccccccccccclcc:;;,,,,,,,,,,,;;;;,,'''''''''''''''',,;;;;;;,,,,,''',,;;;;;,,'',''',,;;;;;;;;;;;;;;;,,'..',;;;;;;;;;;;;;,'.';ccllllllllllllllllccccccccccccccccccccccccccccccccoxO
	cc::;;;;;;:cloodooooolc:;,....'',,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,,'''',,,,;,,,,,,,,,,,,,,,,,,,,,'''''''''',,,,''',,,,,,,,,,,,,;,,'...''''''''''''',''..'',,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,'''....'',,,,,,,,,,;;,,''..'',,,;;;;;,,'''...',;;;;;;;;;;;;;;;;;;;;,,'',,;;,,,;;:cccccccllllllllccc:cccccccccclllccccclllllllllllllccccccclllllcc:;;,,,,,,,,,,,;;;;;,'''''''''''''''',,;;;;;;,,,,''',,;;;;;;,,,,,,,'',,,,;;;;;;;;;;;,,'...',;;;;;;;;;;;;;,'.':clllllllllllllllllllllllllllccccccccccccccccccccccoxO
	cc::;;;;;;;:coooooolc;,'......',,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,''''''''..',,,,,,,,;;;;;;,,,,,,,,,''....'',,,,,,,,,,'..'',,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,'''',,,,,,,,;,,,'''''''',,;;;;;,,'....',,,,;;;;;;;;;;;;;;;;,,''',,,,,;;:ccccccccccccccc::::;;;:::::::::cccccccclllllllllllllccccccccllllcc:;;,,,,,,,,,,,,;;;;,'''''''''''''''',,;;;;;;,,,,''',;;;;;;;;,,,;;,,,,',,,;;,,,,,,,,,'....',;;;;;;;;;;;;,,'',:lllllllllllllllllllllllllllllcccccccccccccccccccccoxO
	cc::;;;;;;;:coooool:,........',,,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,''''',,,,,,,;;;,,,,,'''''',,''....',,,;,,,,,''''',,,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,;;;;,,''',,,,,,,,,,'',,,,,,,,,,,,;,,'''''''''',,,,;,,,;;;;;;;;,,'''',,,;;:cccccc::::;;;;;,,,,,,,,,,,,,,,,,,,;;;;;:::ccccccllllllccccccccccclcc:;;,,,,,,,,,,,,;;:;,'''''''''''''''',,;;;;;;,,'''.',;;;;;;,,,;;;;;;;,,,,,,,''',''',,'..'',,,,,,;,,;;;;,'..',:lllllllllllllllllllllllllllllllllllllllcccccccccccoxO
	cc::;;,,,;::cooooc:,........',,,,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,'''''',,,,,,,,,'''''''''',,,,'..',,;;,,,,''''',,,,,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,'''',,,,,,,'',,,;;;,,,,,,,,,,''',,,,,,,'''''''',,,,,,,,,,'...'',;:cccc::;;,''',,,,,,,,,,,,,,,,,,,,,,,,,,;;,,,,,;;;::ccccclcc::ccccccllcc:;;,,,,,,,,,,,;;;;;,'''''''''''''''',,;;;;;;,,''..',;;;;;,,,,;;;;;;;;;;;;,,,,,,,,,,,,''',;;;;,,,,'',,,''..';cllllllllllllllllllllllllllllllllllllllllccccccccccoxO
	cc::;;,,,;;:coooo:,.........',,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,''''''',,,,'',,'',,,,,,,,,,,,,''',,;,,'...''',,,;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,'',,,,;;;,,,,;;,,''''',,;;;;;,,,,''.'''''''''''......',;;;;,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,;;;;;;::c:::ccclcccccc:;;,,,,,,,,,,,;;;;,,'''''''''''''''',,;;;;;;,,'...',,;;;;,,,,;;;;;;;;;;;;;;;;;;;;;;,,'',,;;;;,,,,,,,,,,''';:cllllllllllllllllllllllllllllllllllllllllccccccccccoxO
	cc::;;,,,;;:coool;'........',,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,'''',,''''''''',,,,,,,'',,,,,;,,,,,'''..''''......''',,,,;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,,,''',,;,,,,,,,,;;,,'...'',,,,;;;;;,,''',,,,,,,,,'....'',,,'''',,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,;,,,,,,,,,,;;;;;;:cclcccccc:;;,,,,,,,,,,,,,,,'''''''''''''''''',,;;;;;;,,....'',,;;;,,,,;;;;;;;;;;;;;;;;;;;;;,,''',;;;;;;;;;;;;;;,'',:clllccccccllllllllllllllllllllllcclcccccccccccccccccoxO
	c:::;;;;;;::loooc;'........',,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,'''',,;;,,,,,,,,,,,,,,,,,,,,,''',,''''''''''',,,,,,,,,,,,,,,,'.....................'',,,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''','''',,;;,,,,,,,,;;,,''.''''',,,,,,,,'',,;;;;,,,,,,'''',,;,,,,,,;;;;;;;;;;;,,;;;;;;;;;;;;;;;;;;;;;;;,,,;;;,,;;;;;;;;;;,,,;;::ccccccc:;,,,,,,,,,,,,,'''''....''''''''''',,;;;;;;,,...',,',,,,,,,;;;;;;;;;;;;;;;;;;;;;;,,',,,;;;;;;;;;;;;;,,'';clllcc:;;;:cllllllllllllllllllcccccccccccccccccccccccoxO
	::::;;;;;;:cloooc;'........',,,,',,,,,,'''',''..'',,,,,,,'''''''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,''''',,,'''..''''''',,'''''''''.........................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'...''',,,,;;;,,,,,;;;,,''',,,''''',,,''''',,,,,,,,,,'''',,;;;;;;;;;;;;;;;;;;;;;;,,,,,;;;;;;,,,,,,,;;;;;,;;;;;;;;;;;;;;;,,,,,,,;;::ccc:;,,'''''''''''''''.....'''........'',,,,,,,,'..',,,,''''',;;;;;;;,,,,;;;;;;;;;;;;,'',,;;;;;;;;;;;;;,,,,,:clllcc;,,,;:clllllcccccccccccccccccccccccccccccccccccoxO
	::::;;;;;;:cloooc;'........''''''''''''''''''.....'''''''''''''''''''''''.'''''''''''''''''',,,,,,,'''''''''''....'''''''''''''''''...........................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,'.....''''',,,,,,,,,,,,,''',,;,,,,,,,,'...'''',,,,,,,''..'',;;;;;;;;;;;;;;;;;;;;;;,,,,,,;;;,,,,,,,;;,;;;,,,,;;;;;;;;;;;,,,,,,,,,,'',;;;,'''.........''''''''',,,,'''''''''''''''''''...',;;,,'...',,;;;;;;,,;;;;;;;;;;;;,,'',;;;;;;;;;;;;;;,'',;:clcccc;,,,;ccllllccccccccccccccccccccccccccccccccccccoxO
	::::;;;;;;:cloool;'.........'''''''''''''''''''...'''''''''''''',,,'''''....''''''''''''''''''''''''''..'''..''''''''''',,,''''..................................',,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''',,,''''',,,,;;,,,'',,,;;;,,,;;,,'''',,,,,,,;;;;,'..'',,;;;,;;;;,,,;;;;;;;;,,,,;;;;;;;;,,,,,;;;;;;;;,,;;;;;;;;;;;;;;;;;;,,,''..''''',,,,,,,,,,,,,,;;,,,,;;;;,,,,,,,,,,,,,,,,'''...',;;,'.....',,,;;;;;;,,;;;;;;;;;,,''',;;;;;;;;;;;;;,,'',:cllcccc;,,;:ccccccccccccccccccccccccccccccccccccccccccoxO
	::::;;;;;;:cloool:'.........'''''',,,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,''.',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,'......................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,''',,,;,,'',,;;;;,,,,;;,,'',,,;;,;;;;;;;,'..',,,,,,,,,,,,,,;;;;;;,,,,,,,;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;,,,,,,,,;;,,'..'''''',,,,,;;;;;;;;;;;;;,'',,,;;;;;;;;;;;;,,'',:clllcccc;'',:cllcccccccccccccccccccccccccccccccccccccccoxO
	::::;;;;;;:cloodoc;'........''',,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,'''',,,,,;,,,,,,,,,;;,,,,,,;;,,,,,,,'''''',,,,,''...........................................'',,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,,,,''',,,,'',,;;;;,,,,,;;,,',,;;,,,;;;;;;;,'..',,,;;,;;;;;,,;;;;;,,,,,,,,,,;;;;;,,,,,,''''''''''''''''''''',,,,,,,,,,,,,,,,,,,,'''''''''''''''''''''''''''''',,,,,;;;;;;;;;;;;,,'''',,,,,,''''',,,,;;;;;;;;,,'',;;;;;;;;;;;;;;,'',;:clllccc:;'',:cllcccccccccccccccccccccccccccccccccccccccoxO
	::::;;;;;;:cloodolc;,........'',,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,'''',,,,,;,,,,,,,,,,,,,,,,,,,,,,,,,''''...'''.................................................',;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,;,,,,,,,,,,,''.'''',,,;;,,,;;;;,,,,,,,;,,,,,,,;;;;,'.',,;;;;;;;;;;;;;;;,,,,,,,,,,,,,,'''''''''''''''',,'',''''''''''''''''''''''''''''''''''''''''''''''',''''''''''''''''',,,'',,,,,,,''',,,,,,,,,'''''''',,,,;;;,,,',,;;;;;;;;;;;,,,''';:ccllllccc:;;;:clllccccccccccccccccccccccccccccccccccccccoxO
	c:::;;,,,;:clooooool:;'......'','',,,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,''''',,,;,,,,,,,,;;,,,,,,,,,,''''''''.........................................................,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'....',,,,,,;;;;;;,,',,,;;;,,,,,,,,,,,'.',;;;;;;;;;;;,;,,,,,,,,;,,,,''''''''''',,''',,,,,,,,,,,,''',,'''''''''''''''''''''',,,,,,,,'',,,,,,,,,,,,'',,,,''''''',,''''',,,''..',,,,,,,,,,,,'''''''''''''''',,,;;;;,;;;,,''..',:clllllllccc::cccllcccccccccccccccccccccccccccccccccccccccoxO
	::::;;,,,,;cloodddoooc;,'.....'',,,,,,,,,,,,,,''.'',,,,,,,,,,,,,,,,,,,,,'''''',,,,,,,,,,,,,,,'''''''''''''''..........................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,...'',,,,,,,;;;;;,'',,;;;;;;,,,,,,,,'..',;;;;;;;;;;,,,,,,,,,,,,,''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''.''',,,,,,,,,,,,,,,,'''''''....''''''''''',''...',:clllllllllccccccllllccccccccccccccccccccccccccccccccccccccoxO
	::::;;,,,,;clooddooooolc;,'....',,,,,,,,,,,,,,''.'',,,,,,,,,,,,,,,,,,,,,,'''''',,,,''''''''''''''''''''''...............................................................,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.',,,,,,,,,,,,,,,'',,;;,,,,,,,,,,,,'..',;;;;;;;;;;,,,,,,,;;;,''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,'''''''''''''''''''''''';:clllllllllllllllllllllllcccccccccccccccccccccccccccccccccccoxO
	::::;;,,,,;cloodoooddoollc:,....',,,,,',,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,'''''''''''''''''''''''',,''...................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,''''',,,,,,,,,,,,;;;;,'.',;;;;;;;;,,,,,,,;;;,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..';:clllllllllllllcllllllllllcccccccccccccccccccccccccccccccccccoxO
	c:::;;,,,,;cloodoooddollcc:;,'..''''',,,,,,,,,',''''''',,,,,,,,,,,,,'''''''''......'''''''''''''''.......................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,,,'...'',,,,,;;;;;;;;;;,,'',;;;;,,,,,,,,,,;;,,,'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''..,:cllllllllllllllllllllccclccccccccccccccccccccccccccccccccccccoxO
	::::;;,,,,;cloodddoddolc:::;;;;,,'..''',',,,,,,,,,''''''',,,,,,,,''''''''''''''''''',,,''''..............................................................................',;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,;,,'...',,,,,,;;;;;;;;;;,,',,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.',;cclllllllllllllcccccccccccccccccccccccccccccccccccccccccccccccoxO
	::::;;,,',;:coodddoooolc:::;::c:;,'...''',,,,,'',''''''''''''''''''''''''',,,,,,'''''''...................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,;;,''',,,;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,''...'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.'';:cclllllllllcccc:;,,;:cccccccccccccccccccccccccccccccccccccccccoxO
	::::;;,,',;:cloddoodoolc:::;;:c::;;,''''''''''''''''''''.....''''''''',,,,,,,,,,''........................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,'',,;;;;;;,,,,,,,;;;;;;;;;,,,,,,,,;;;;,,'''',,,,,,,,,,,,,,,,,,,,,,,,,''..''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''...',;:cclllcccccccccc;,',;:cccccccccccccccccccccccccccccccccccccccccoxO
	::::;,,,',;:cooddoodoolc:::;::c:::;;;;;,,'''...''''''',,'''''''',',,,,,'',,'''.............................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',;;;;;,,,,,,,,,,,,,;;;;;;;,,,,;;;;;,,'''',,,,,,,,,,,,,,,,,,,,,,''''..'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'....',;;:cclllcccccccccc;,',;:cccccccccccccccccccccccccccccccccccccccccoxO
	::::;,,,,,;:cooddodddolc::;;:ccc::;;:::::;,'....'''',,,,,,,,,'''''''''''''.................................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,'',;;;;;;,,,,,,,,,,,,,,;;;;;;,;;;;;;,''.'',,,,,,,,,,,,,,,,,,,,,,''...'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''...'',;;;:ccllllllccccccc;,',;:cccccccccccccccccccccccccccccccccccccccccoxO
	::::;,,,',;:cooddddddol::;;;:cccc:;;::ccc:;,,,,,''''',,,,,,,,,,,''........''''''''''.......................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,;,,'',;;;;;;,,,,,,,,,,,,,,;;;;;;;;;;;;;,'..',,,,,,,,,,,,,,,,,,,,,,'''.'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.....',,,;;:cclllllllcccccc;,,,;:cccccccccccccccccccccccccccccccccccccccccoxO
	::::;,,,,,;:clodddddoolc:;;;;:ccc:;;::ccc::;;:::;;,''',,,'''''',''..''',,,;;::::::;;,',,,'.................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,,,,'',;;;;,,,,,,,,,,,,,,,,;;;;;;;;;;;;,,'.',,,,,,,,,,,,,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'.....'',,,,,;::cccccllccccccc;,',;:cccccccccccccccccccccccccccccccccccccccccoxO
	::::;,,,,,;:cloooooooolc:;;;;:::::;;:::::::;:ccccc::;;;,,,,,,,,,,,,;:::::::;:cccccc:;;:;;,'................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',;;;;,,,,,,,,,,,,,,,,,,;;;;;;;;;,,,''',,,,,,,,,,,,'''',,,''..'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''....',,,,,,;;::cccccccccccccc:;,,;:cccccccccccccccccccccccccccccccccccccccccoxO
	::::;,,,,,;;cloooooooolc:;;;;::cc:;;:::::::;::cccccc::::::::::;;;::cccccc::;:ccccc::;::;'..................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',;;;,,,,,,,,,,,,,,,,,,,,;;;;;;;;,,,''',,,,,,,,,,,''..'''''.'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''....',,,,,,;;::cccccllccccclcc::::ccccccccccccccccccccccccccccccccccccccccccoxO
	::::;,,,,,,;:loooooooolc:;;;;:ccc:;;:::::::;;::::ccc::;:::::cc::;::cccccc:;;:cccccc:;;:;'.................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,''.......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'...',,,,,,,;;;:ccllllllccccllllcccllccccccccccccccccccccccccccccccccccccccccoxO
	:::;,,,,,,,;:loollccllc::;;::cccc:;;:::::::;;:::::::::;;:::::::;;:ccccccc::;:ccccc::;;;,..................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,;,,,'..',,,,,,,,,,,''.......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.'',;;,,,,,;;;:cclllllllcccllllcccllllccccccccccccccccccccccccccccccccccccccoxO
	:::;,,,,,,,;:lllccccccc::;;:ccccc:;;::ccc::;;::::::::::::::::::;;:ccccccc:;;::ccc:::;;,'..................................................................................,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,;;,,'...',,,,,,,,,,'''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''''''...',;;;,,,,,;;;:ccllllllllllllcccclllllllccccccccccccccccccccccccccccccccccccoxO
	::::,,,,,,,;:cllccccccc::;;::ccc::;;::ccc::;;::cc::::::::::::::;;:ccccccc::;;::::cc:;,'..................................................................................',,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,,,,,,,,,,,,,,;;,,,,;,,'..'',,,,,,,,,'''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''..............'',,,;;;,,,,,,;;:cclllllclccccccccccclllllccccccccccccccccccccccccccccccccccccoxO
	::::,,,,,,,;:cclcc::cc:::;;:cccc::;;::cc:::;;::ccc:::::::::::::;;:ccccccc::;;::::cc:;,..................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,;;;;;;;;;;;;;;;,,,,;,,'''',,,,,,,,,''.....''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''..............''...'',,;;;;;;,,,,,;;;:ccllllccccccccc::::ccccccccccccccccccccccccccccccccccccccccccoxO
	cc::,,,,,,,;:cllcc:::::::;;:cccc::;;:::::::;;::ccc:::::::::::::;;:cc:cccc:;;;::::cc:,'..................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,;;,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;,,,,,,,,,;;;;;;;;;;;;;;;;;,,;,,'',,,,,,,,,,,'.....'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''.............''''',,,,,,,,,;;;;;;;;,,,,,;;;:ccllllcccccccc:;,;;:cccccccccccccccccccccccccccccccccccccccccoxO
	cc::,,,,,,,;:cllcc:::ccc:;;:cccc::;;:::::::;;::::::::::::::::::;;::::::::::;;::::::;'..................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,;;;,,,,,,;;;;,,,,,,;;,,,,,,,,;;;,,;;;;;;;;;;;;;;;;;;;;,,''',,,,,,,,,,''....'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''...........''',,,,,,,,;;;;;;;,,,,,;;;;;;;;;,,,,,;;;:ccllcccccccclc:,',;:cccccccccccccccccccccccccccccccccccccccccoxO
	::::,,,,,,,;:cllcc::cccc:;;:cccc::;;::::::;;;::::::::::::::::::;;::::::::::;;::::::,'..................................................................................',,,,,,,,,,,,,,,,,,,,,'''''''''........',,,;;;;;;;;;;;;;;;;,,,,,,,,;;;;;,;;;;;;;;;;;;;;;;;;;;;;;;;,,'''',,,,,,,,,''....',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''........''''',,,,,,,,,,,,,;;;;;;;;,,,,,;;;;;;;;,,,,,;;;:cclllllccccclc:,',;:cccccccccccccccccccccccccccccccccccccccccoxO
	::::,,,,,,,;:ccccc:::ccc:;;::ccc::;;:::::;;;;::::::::::::::::::;;:::::::::;;;::::::,..................................................................................',,,,,,,,,,,,,,,,,,,,,,''''',,,''''''.....'',,,;,,,,,,,,;;;;,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;,'''',,,,,,,,,''...'',,,,,''''.......'''''''..'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''........'....''',,,,,,,,,,,,,,,,,,,,;;;;;;;;,,,,,;;;;;;;;,,,,,;;;:ccllllllcccclc:,',;:cccccccccccccccccccccccccccccccccccccccccoxO
	::::,,,,,,,;:cccc:::::cc:;;:::::::;;:::::;;;;::::::::::::::::::;;:::::cc:;;;;::::::,.................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'......',,,'......',,,,,,,,,,'..........',,;;;;;;;;;;;;;;;;;,,'..',,,,,,,,''....''''.''''''''''''''''''''''''''''''''''.'''''''',,,'''',,,,,,,,,,,''.....................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;,,,,;;;;;;;;;,,,,,;;;:cclllllccccccc:,',;:cccccccccccccccccccccccccccccccccccccccccoxO
	::::,,,,,,,;:ccc::::::cc:;;:::::::;;:::::;;;;::::::::::::::::::;;::cccc::;;;;::::::,................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''',,,,,''........      ..'',,''................'',,,,;;;;;;;;;;;,,'...',,,,,,,''......'''',;;;;::::::::::::;;;;::::;;;;;;,,,''''''''''''''''................................'',,;;;;;,,,;;;;;,,,,,,,,,,,,,,,,,,;;;;;;;,,,,,;;;;;;;;;,,,,,;;;:cclllllccccccc;,,,;:cccccccccccccccccccccccccccccccccccccccccoxO
	::::,,,,,,,;:ccc::::::c::;;:::::::;;:::::;;;;:::::::::::ccc::::;;;:cccc:;;;;;::::::,................................................................................',,,,,,,,,,,,,,,,,,,,''''..............',,,,'..             ...............''''''....'',,;;;;;;;;;;,'..'',,,,,,,''...'',;;;;;:ccccccllllllllccccccccllcccccccc::;;;;;;;;;;;;;;,''.'......''''............''''''',,;;;;;,,,,,;;;;;,,,,,;;,,,,,,,,,,;;;;;;;,,,,,;;;;;;;;;,,,,;;;;:cclllllccccccc:;,,;:cccccccccccccccccccccccccccccccccccccccccoxO
	::::,,,,,,,;:cccc:::::::;;;::::::;;;:::::;;;;:::::::::::ccc::::;;::cccc::;;;;::::::,..............................................................................'',,,,,,,,,,,,,,,,'''''''.'''''''...........''''..               .....'''',,,,,,,,,,'''''',,;;;;;;;;;,'.'',,,,,,,''..',;:cccccccccccccclllcccccccc:cccccccccccclcc::ccccccccccc::;,,,,,,,,,,,,,,'''''''''''''''''',,;;;;;,,,,,;;;;;,,,,,;;,,,,,,,,,,;;;;;;;,,,,,;;;;;;;;;,,,,;;;;:cclllllcccccccc::::ccccccccccccccccccccccccccccccccccccccccccoxO
	::::,,,,,,,;:cclcc::::::;,;::::::;,;:::::;;;;:::::::;;:::::::::;;:cccccc:;;;;::::::,.............................................................................',,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,''...........             ...'',,,,,''''....',,,,,,,,,,;;;,,,,,,'..',,,,,,,,'..',:cclllcccccclccccccccccccccc:ccccccccccccccc:::cclllllllcc:;,,,,,,,,,,,,,,''''''''''''''''',,,;;;;;,,,,,;;;;;,,,,,;;;;,,,,,,,,;;;;;;;,,,,,;;;;;;;;;,,,,;;;;:cclllllccccccccccccccccccccccccccccccccccccccccccccccccccccccoxO
	::::,,,,,,,;:ccccc::::::;,;::::::;;;:::::;;;;:::::::;;:::::::::;;:cccccc:;;;;::::::,............................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,''''......              ..'''''''............'',,,,,,,,,,,,;,,'''',,,,,,,,'''';:ccclllcc::ccclccccccccccccc::cccccccccccclcc:::ccccccccccc:;,,,,,,,,,,,,,,''''''''''''''''',,,;;;;;,,,,,;;;;;,,,,;;;;;;;,,,,,,;;;;;;;,,,,,;;;;;;;;;,,,,;;;::cclllllccccccccccccccccccccccccccccccccccccccccccccccccccccccoxO
	::::,,,,,,,,;ccc::::::::;;;::::::;;;:::::;;;;:::::::;;:::::::::;;::ccccc:;;;;::::::,...........................................................................',,;,,,,,,,,,,,,,,,,,,,,,,,,'''..............''...               .......................',,;;;,,,,,,,,'''',,,,,,,,'..';:ccllllccc::ccccccccccccclccc:ccclcccccccccccc:::cccccccccc::;,,,,,,,,,,,,,,,'''''''''''''''',,,;;;;;,,,,,;;;;;,,,,;;;;;;;,,,,,,;;;;;;;,,,,,;;;;;;;;;,,,,;;;::cclllllccccccccccccccccccccccccccccccccccccccccccccccccccccccoxO
	::::,,,,,,,,;:cc::::::::;;;::::::;;;:::::;;;;:::::::;;;;:::::::;;::::::::;;;:::::::,..........................................................................',,,,,,,,,,,,,,,,,,,,,,,''''.......................                ......''',,,,,,,,,''..'',,,;;;,,,,,,'.'',,,,,,,'..';cclllllcccc::ccccccccccccccccc:cccccccccccccccc:::cccccccccc::;,,,,,,,,,,,,,,,'''''''''''''''',,,;;;;;,,,,,;;;;;,,,,,;;;;;;,,,,,;;;;;;;;,,,,,,;;;;;;;;,,,,;;;;:cclllllccccccccccccccccccccccccccccccccccccccccccccccccccccccoxO
	:::;,,,,,,,,;:cc:::::::::;;::::::;,;:::::;;;;:::::::;;;;:::::::;;:::::::;;;::cc::::,.........................................................................',,,,,,,,,,,,,,,,,,,,,'''.......''.................              ....''''''''''',,,;;;,,,,'',,,,;;;;;,,'''',,,,,,,'''';ccllcllllccc:::cccccccccccccccc::cccccccccccccc::::ccccccccc:;;;,,,,,,,,,,,,,,''''''''''''''''',,,;;;;;,,,,;;;;;;,,,,,,,,;;;,,,,,;;;;;;;;,,,,,,;;;;;;;,,,,;;;;;:cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccoxO
	::;;,,,,,,,,;:cc::::::cc:;;::::::;,;:::::;;;;:::::::;;;;:::::::;;:cc:::::;;;:cc:::;'........................................................................',,,,,,,,,,,,,,,,,,,,'''''''',,,,,,,,,,,,,,,,,,,,'...            ..''''............'',,;;;;,,,,,,,,,,,,'..',,,,,,,'..,;:cccccccccccc:::ccccccccccccccccc:ccccccccccccccc:::ccccccccc:;,,,,,,,,,,,,,,,,'''''''''''''''''',,;;;;;;,,,;;;;;;,,,,,,,,,;;,,,,,;;;;;;;;,,,,,,;;;;;;;;,,,,;;;;:ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccclxO
	::;;,,,,,,,,;:cc::::::c::;;::::::;,;:::::;;;;:::::::;;;;:::::::;;:::::::;;;;:::::,'. .....................................................................'',,;,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;,,,,,,,,,,,,,,..          .....................',,;;;;;,,,,,,,,,'..',,,,,'''''';:ccccccccccccc::ccccccccccccccccc::ccccccccccccccc:ccccccccccc:;,,;,,,,,,,,,,,,,''''''''''''''''',,,;;;;;,,,,;;;;;;,,,,,;;;;;;,,,,,;;;;;;;;,,,,,,;;;;;;;;,,,;;;;;:ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccclxO
	::;;,,,,,,,,;:cc:::::::::;;::::::;,;:::::;;;;:::::::;;;;:::::::;;:::::::;;;;::;,'........................................................................',,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,'..       .......''''',,,,,,'''...',,;;;;,,,,,,;,'..'',,,,''..',;::cccccccccccc::ccccccccccccccccc:::ccccccccccccccc:ccccccccccc:;,,;,,,,,,,,,,,,'''''''''''''''''',,,;;;;;,,,,;;;;;;,,,,,;;;;;;,,,,,,;;;;;;;,,,,,,;;;;;;;;,,,,;;;;:cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccoxO
	::;;,,,,,,,,;:cc:::::::::;;::::::;,;:::::;;;;:::::::;;;;:::::::;;:::::::;;;;,,'.........................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'....      ...'',,,,,;;;;;;;;;;;,,,'.'',,;;;;;,,,,,'...',,,,'''',;::::cccccccccccc:cccccccccccccccccc:::ccccccccccccccc:ccccccccccc:;,,,,,,,,,,,,,,,''''''''''''''''''',,;;;;;,,,,;;;;;;,,,,,;;;;;;,,,,,,;;;;;;;,,,,,,;;;;;;;;,,,;;;;;:cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccoxO
	::;;,,,,,,,,;:cc::::::::;;;::::::;;;::::;;;;;:::::::;;;::::::::;;::::::;,,'...........................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..          .',,;;;,,;;,,,,,,,,,,,,,,,''',;;;;;;;;,'....,,,'''',;:c::::cccccccccccc:cccccccccccccccccc:::ccccccccccccccc:ccccccccccc:;,,,,,,,,,,,,,,,'''''''''''''''''',,;;;;;;;,,,;;;;;;,,,,,;;;;;;,,,,,;;;;;;;;,,,,,,;;;;;;;;,,,,;;;;:ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccclxO
	:::;,,,,,,,,;:cc::::::::;,;:::::::;;:::::;;;;:::::::;;:::;;;:;;;;;;;;,,'.............................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..            .',;;;;,,,,,,,,,,,,,,,,,;,,,,,,,,;;;,,,'...'',''',;::ccc:::cccccccccccc::ccccccccccccccccc:::ccccccccccccccc:ccccccccccc:;,,,,,,,,,,,,,,,,''''''''''''''''',;;;;;;;;;,,,;;;;;;,,,;;;;;;;,,,,,;;;;;;;;,,,,,,;;;;;;;,,,,,;;;;:ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccclxO
	::;;,,,,,,,,;:cc::::::::;,;:::::::;;:::::;;;;;::::;;;,;,,''''''''''''''''...........................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'....              ..,;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,'..'''''''',;:ccccc:::cccccccccccc::ccclccccccccccccc:::ccccccccccccccc:ccccccccccc:;,,,,,,,,,,,,,,,,,''''''''''''''',,;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,;;;;;;;;,,,,,,;;;;;;;,,,,,;;;;:cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:lxO
	::;;,,,,,,,,;:cc::::::::;,;:::::::;;::::;;;;,,''''''''''.........'''''''''........................................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,...                   .,;;;;,,,,,,,,,,,,,,,,,,,,;,,,,,,,,'...''''.',;::cccccc:::cccccccccccc:cccccccccccccccccc:::ccccccccccccccc:ccccccccccc:;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,;;;;;:cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:lxO
	::;;,,,,,,,,;:cc::::::::;,;:::::::;;;;,''..........'''''''......'',,,,,,,'.......................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..                    ..,;;,,,,,,,,,,,,,,,,,,,,,,,,,;;,,''....''.'';:cccccccccc::ccccccccccccccccccccccccccccccc:::ccccccccccccccc:cccccccccccc::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::;,,,;;;;;;:cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:lxO
	::;;,,,,,,,,,:cccc:::::;;,;:::::;,'............'''''''''''.....'',,'',,,,'.....................................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,..                      .',,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,'''......',:cccccccccccc::cccccccccccc:cccccccccccccccccc:::ccccccccccccccc:ccccccccccccccccccccccccccccllccccc:ccccccccccccccccc::ccccccccccccccc::::ccccccccc::cccccccc:ccccc::,,,,;;;;;:cclccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:lxO
	;,,,,'',,,,,,,;;;;;;;;;;,,,,,,,''..........''''''''''''''.....''',,,,,,,,'...................................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'.                      ..',,,,,,,,,,,,,,,,,,,,,,,,,,;,,,''''....',;:cllccccccccc:::cccccccccccc::ccccccccccccccccc:::ccccccccccccccc:ccccccccccccclllcccccclllllllllcccc:cccccccccccccccccc::ccccccccccccc::;;:cccccccc:::ccccccc:::ccccc:;,,,,,,,;:cclccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:lxO
	''''''''''''''''''''',,,''............''''''''''''''''''......',,,,,,,,,,'..................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..                      .',,,,,,,,,,,,,,,,,,,,,,,,,,,,,'.....''',;:cccccccccccccc::ccccccccccccc:cccccccccccccccccc:::ccccccccccccccc:cccccccccccccllcccccccllllllllccccc:ccccccccccccccccc::::ccccccccccccc:;;:ccccccc:;;:ccccccc::cccccc:;,,,,,,,;;:cccccccccccccccccccccccccccccccccccccccccccccccccccccccccc::lxO
	'''''''''''''''''''''..........'''''''''''''''''''''''''.....',,,,,,,,,,,'................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..                     ..,;;,,,,,,,,,,,,,,,,,,,;;,,,,'....'',;;:::ccccccccccccccc:cccccccccccccc:cccccccccccccccccc:::ccccccccccccccc:cccccccccccccllcccc:cclllllllccccc:::cccccccccccccc::::::ccccccccccccc:;;:ccccccc:;;:cccccc:::cccccc:;,,,,,,,,;;:cclllcccllcccccccccccccccccccccccccccccccccccccccccc:::::::lxO
	'''''''''''''''............'''''''''''''''''''''''''''''.....',,,,,,,,,,,'''............................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..                   ...',;,,,,,,,,,,,,,,,,,,,,,,,,'.....';;:ccccc::ccccccccccccc::ccccccccccccc:cccccccccccccccccc:::ccccccccccccccc:cccccccccccccccccccccclllccccccccc:;;:cccccccccccccc:::::cccccccccccc::;;:ccccccc:;;:cccccc:;::cccc::;,,,,,,,,;;:cclllcccclcccccccccccccccccccccccccccccccccccccccccc:::::::lxO
	''''''''''''.............'''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,'...........................................................',,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,..                 ...',,,,,,,,,,,,,,,,,,,,,,,,''.....',;;::cccccccccccccccccccccccccc::::ccccc:::ccccccccccccccccc:::ccccccccccccccc:ccccccccccccccccccc:cclllccccccccc:;;:ccccccccccccccc::::cccccccccccc::;;:ccccccc:;;:cccccc:;;:cccc::;,,,,,,,,,;:cccccccccccccccccccccccccccccccccccccccccccccccccccc:::::::lxO
	'''''''''..........'''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,'.......................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..             ...',,;;,,,,,,,,,,,,,,,,''''''....',;:ccccccccccccccccccccccccccccccc:;,;;:ccccc:ccccccccccccccccc:::ccccccccccccccc:ccccccccccccccccccc:ccllllcccccccc:;;:ccccccccccccccc::::cccccccccccc::;;:ccccccc:;;:cccccc:;;:ccccc:;,,,,,,,,,;:cccccccccccccccccccccccccccccccccccccccccccccccccccc:::::::lxO
	''''''..........''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,'....................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'...       .....',,,;,,,,,,,,,,,,,,,,,,,,,,''.'',;:ccllllllllllllccccclllllllccccccc:,,,,;;::c:cccccccccccccccccc:::ccccccccccccccc:ccccccccccccccccccc:cccccccccccccc:;;:cccccccccccccc:;;::cccccccccccc::;;:ccccccc:;;:cccccc:;;:ccccc:;,,,,,,,,,;::ccccccccccccccccccccccccccccccccccccccccccccccccccc:::::::lxO
	'...........''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,,'..................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'.......'',,,,;,,,,,,,,,,,,,,,,,;;,,,,,''',;:ccccccclllllllcclcccccclllllllcllccc:,,,,,,;;::cccccccccccccccccc:::ccccccccccccccc:cccccccccccccccccc::cccccccccccccc:;;:cccccccccccccc:;;::cccccccccccc::;;:ccccccc:;;:cccccc:;;:cccc::,,,,,,,,,;;::cccccccccccccccccccccccccccccccccccccccccccccccccccccccc::lxO
	........''''''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,,,'..............................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,,,,,,,,,,,,,;;;,,,''',;:cccllllccllllllllllccccccccllllllllcc:;,,,,,,,,;;::cccccccccccccccc:::ccccccccccccccc:ccccccccccccccccc:::cccccccccccccc:;;:cccccccccccccc:;;::cccccccccccc::;;:ccccccc:;;:cccccc:;;:cccc:;,,,,,,,,,,;::cccccccccccccccccccccccccccccccccccccccccccccccccccccccc::lxO
	.....'''''''''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,,,,,'...........................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,',,;:ccclllllllllllllllllcccccccllllllllllcc:;,,,,,,,,,,;;;::ccccccccccccc:::ccccccccccccccc:ccccccccccccccccc:::cccccccccccccc:::ccccccccccccccc:;;::cccccccccccc::;;:ccccccc:;;;:ccccc:;;:cccc:;,,,,,,,,,,;::cccccccccccccccccccccccccccccccccccccccccccccccccccccccc::lxO
	.'''''''''''''''''''''''''''''''''''''''''''''''''''''''.....'',,,,,,,,,,,,,,,,,,''.....................................'',,,,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;:ccclllllllllllllllllllllclllllllllllllccccc:,,,,,,,,,,,,,;;:cccccccccccc:::ccccccccccccccc:ccccccccccccccccc:::ccccccccccccccc::ccccccccccccccc:;;::cccccccccccc::;;::cccccc:;;;:cccc:;;;:cccc:;,,,,,,,,,,;::cccccccccccccccccccccccccccccccccccccccccccccccccccccccc::lxO
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,''.................................'',,,,,,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',;::cclllllllllllllllllllllllllclllllllllllllccc;,,,,,,,,,,,,,,,;::cccccccccc:::ccccccccccccccc:ccccccccccccccccc:::ccccccccccccccc:::cccccccccccccc:;;::cccccccccccc::;;:ccccccc:;;;:cccc:;;;:cccc:;,,,,,,,,,,;::cccccccccccccccccccccccccccccccccccccccccccccccccccccccc::lxO
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....',,,,,,,,,,,,,,,,,,,,''.............................''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,',,;;::cccclllllllllllllllllllllccllllllllllllllllcc:;,,,,,,,,,,,,,,,,,;;::ccccccc:::ccccccccccccccc:ccccccccccccccccc:::ccccccccccccccc::::ccccccccccccc:;;::cccccccccccc::;;:ccccccc:;;;:::cc:;;;:cccc:;;,,,,,,,,,;::cccccccccccccccccccccccccccccccccccccccccccccccccccccccc::lxO
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,,,,'.......................''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,'',,;:::ccccccclllcclcccccccccclllllcccccccccccccccccccc:;,,,,,,,,,,,,,,,,,,,;;:cccccc:::ccccccccccccccc:ccccccccccccccccc::::cccccccccccccc::::ccccccccccccc:;;::cccccccccccc::;;:ccccccc:;;;:::cc:;;;:cccc:;;,,,,,,,,;;:cccccccccccccccccccccccccccccccccccccccccccccccccccccccc:::lxO
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,;;;,,'...............'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,;;::ccccccccccccclccccccccccccccccccccccccccccccccccccc:;,,,,,,,,,,,,,,,,,,,,,;;:cccc:::ccccccccccccccc:ccccccccccccccccc:::ccccccccccccccc:::cccccccccccccc:;;::cccccccccccc::;;:ccccccc:;;;:::cc:;;;:cccc:;;,,,,,,,,;;:cccccccccccccccccccccccccccccccccccccccccccccccccccccccc:::lxO
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,,,,,,'''....''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,'',,;:::cccccccccccccccccccccccccccccccccccccccccccccccccccccc:;,,,,,,,,,,,,,,,,,,,,,,,;;:c::::ccccccccccccccc:ccccccccccccccccc::cccccccccccccccc:::ccccccccccc:cc:;;::cccccccccccc::;;:cccccc::;;;:::cc:;;;:cccc:;;,,,,,,,,;;:cccccccccccccccccccccccccccccccccc::::::::::::::cccccc:::::lxO
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,'''',,;;:cccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:;,,,,,,,,,,,,,,,,,,,,,''',::::::ccccccccccccccc:ccccccccccccccccc:ccccccccccccccccc:::ccccccccccc:cc:;;::cccccccccccc::;;::cccc::;;;;::ccc:;;;:cccc:;,,,,,,,,,,;:::;::::::::;;;;;;;;;:::ccccccccccc:;;;;;;;;;;;;;::ccc:::c::lxO
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,,,,'''',;;::cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:;,,,,,,,,,,,,,,,,,,,,,''',::::::ccccccccccccccc:ccccccccccccccccc:ccccccccccccccccc::::ccccccccc::cc:;;::ccccccc::cc::;;;::cccc:;;;;::cccc:;;;:cccc:;,,,,,,,,,,;::;;:::;;:::;;;;;;;;;;;;;::cccccccc:;,,,,,,,,,,,,;;;::::cccclxO
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,'',,,,;;:cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:;,,,,,,,,,,,,,,,,,,,,,,',,;:::::cccccccccccccc:::cccccccccccccccc:cccccccccccccccc:::::cccccccc:::cc:;;::cccccccc:cc::;;;::cccc:;;;:cccccc:;;;:cccc:;,,,,,,,,,,;:::::c:;;:::::;:::;,,,,,,;::::cc::::;,,,,,,;;;;,,,,,;:::cc::lxO
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,;;:::ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:;,,,,,,,,,,,,,,,,,,,,,,,,,;;::::ccccccccccccc:;;:cccccccccccccccc:cccccccccccccccc:;;::ccccccccccccc:;;::ccccccc::cc::;;;::cccc:;;::cccccc:;,;:cccc:;,,,,,,,,,;:::::cc:;;::::::::::;;,,,,,,;;;::::::;,,,,,;::::;,,,,,;;:::::cdO
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''',,;::::ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:;,,,,,,,,,,,,,,,,,,,,,,,,,,;::::ccccccccccccc::;:cccccccccccccccc:cccccccccccccccc:;;:ccccccccccccc::;;::ccccccc:ccc:;;;;:ccccc:;;::::cccc:;,;:cccc::;;;;;;,;;::::::cc:;;::::;;::cc:;;;;;;;;;;;;:c::;,,,,,;::;;,,,;;;;;;;;,;:ok
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''..'',,,;;;:::ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:;,,,,,,,,,,,,,,,,,,,,,,,,,,;::::cccccccccccccc:::cccccccccccccccc:cccccccccccccccc:;;::ccccc:::::::::;;::cccccccccccc:;;;:ccccc:;;:::::::::;,;:ccc:::::::::;;:cc::::cc:;;:::;;;;:cc::;:::::::;;;::::;,,,,;;::;;,,;::;;;:;;,,:ox
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''....''',;::ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:;,,,,,,,,,,,,,,,,,,,,,,,,,;;::::ccccccccccccc::;:cccccccccccccccc:::cccccccccccccc:;;::ccccc:::::::::;;::cccccccccccc::;;:cc::::;;;::::::::;,;:cc::;::cccc::::cc::::cc:;;::::;;;:cc::::c::;::;;;::::;,,,,;;::::;;;::;;;::;,;:ox
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''...'',;;;;::cccclccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:;,,,,,,,,,,,,,,,,,,,,,,,,,;:::::ccccccccccccc:;;::ccccccccccccccc::ccccccccccccccc:;;::cccccccccccc::;;::ccccccc:cccc::;;:cccc::;;::ccc::::;,;:cc:;;;:cccc:::ccc::::cc:;;::::;;;:::;::c::;;::;;;::::;,,,,,;::::;;;::;;;::;;;cdx
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''.....'''',;:::ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:;,,,,,,,,,,,,,,,,,,,,,,,,,;:::::ccccccccccccc:;;:cccccccccccccccc:cccccccccccccccc:;;::cccccccccccc::;;::ccccccc:::::::;;::cccc:;;:::cc::::;,;:cc:;;;:cccc::::::::::cc:;;::::;;;::;;:::::;;::;;;::::;;,,,,;:::;;::::;;:::;;:ldx
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......''',,,,,,,,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''..''''''',,,,;;:ccccc:::::::::cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:;,,,,,,,,,,,,,,,,,,,,,,,,,,;::::ccccccccccccc:;;:cccccccccccccccc:ccccccccccccc:c::;;::cccc::::::::::;;::cccccccc::::::;;:::::c:;;;::::::::;,;:cc:;;;:cccc::::::;;::cc:;;::::;;;::;;:::::;;::;;;::::;;,,,,;::;;;::::;;:::;;:ldx
	''''''''''....'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''.......''',,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''..''',,;;;:::::::::cc:::::::;,,;:ccccccccccccccccccccccccccccc::::cccccccccccccccccccccccccccccccccccccccccccccc::;,,,,,,,,,,,,,,,,,,,,,,,,,,;::::ccccccccccccc:;;;:ccccccccccccccc:ccccccccccccc:::;;;:cccc:::::::::::;;::ccc:cccc:::::;;;;::::::;,;::::::::;,;::::;;;:ccc:::::::;;::c::;;::::;;;::;;;::::;;::;;;::::;;,,,,;::;;;;:::;;;::;;:ldx
	''''...''......'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''........''',,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''.....'',;;:::cccccc::::ccc::::c::;,',:ccccccccccccccccccccccccccccc::::ccccccccccccccccccccccccccccccccccccccccccccccc:;,,,,,,,,,,,,,,,,,,,,,,,,,,;::::ccccccccccccc:;;;:ccccccccccccccc:cccccccc:cccc:::;;;:cccc:::::::::::;;:cccc:cccc::::;;,,;::::::;,;::::::::;,;::::;;;:::::::::::;;:::::;;::::;;;::;;;::::;;::;;;::::;;,,,,;::;;,;;::;;;::;;:ldx
	`,
	`0000000OOOOOO00000000OO00000000000000000OOOOOOOOO00000OO0000000000000000000000000000000000O00000O000OO000OOO0OO000000OO00000000000000000000OOO00000000000000000000000000000000000OOO0OOOO00000O0000000000OOOOO000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000OOOO000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000OOkxdxO0
	ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxddxxxxxddddddddxxxxxxxxxxxxxdddxxxxxxxxxxxxxxxxxxxddddxxxxxxxxxxdddddddddddddddddddddddddddddddddxxxxxxxxxxxxdddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxdol:;;cxO
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	dddddddoodddddddddddddddddddddddddddddoooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxddddddddddddddddxxxxxxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddddddddol:;,,:ldO0
	dddddddoodddddddddddddddddddddoddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxdddddddddddddddxxxxxxxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddxxxdddddddddddddddddddddddddolc::::cloxO0
	dddddddooddddddddddddddddddddddddddoooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxdddddddddddxxxxxxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddddddolcccccclodxO0
	ddddddddodddddddddddddddodddddddddddooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxdddddddxxdddddddddddddddxxdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxdddddddddddddddddddxxxddddddddolc::llc:coddxO0
	ddddooooooodddddddddddooodddddddddddoooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxxxxddxxxddxxxxdddxxxddddddddddxxxxddddoc:;::llcclododkO
	oooooooooooooooddddddddooddddddddddoooooooooooodddddoddoodddddddddddddddddddddddddddddddddddddddddddddddddddxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxddddddddddddddddddddxxxxxxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxddxxxxddddddxddddxxddddxxxddddddddddxdddddolc:;:clccclllc:cdk
	oooooooooooooooodddddddddddddddddddoooooooooooodddoooddodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddxxxxxxxdddddddddddddddolc:;;:cll:;:cc:;;:dO
	ooooooooooooooodddddddoodddddddddddoooddoooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddxxxxdddddddxxxxdddddol:;;::cllc;,;::::cok0
	oooooooddoooddddddddddddddddddddddddooddoooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddxddddddddxxxddddddddxxddddddddddddddddoc:;;:cccc::;;:ccclodO0
	oooooooddoooddddddddddddddddodddddddoooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddxddddddddxxxddddddddddddddddddddddddolc:;:::;:::::cccccoooxO0
	ooooooooooooddddddddddddddddodddddooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxddddxxxxxxxxxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxddddddddddddddddddddddddddddddddolc:;;::;;:ccccllllodddxO0
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	ooooooddddooooodddddddddddddodddoddddooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxddddxdddddddxxxxxxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddolcccccccc::cccccccc::::ccccccc:::::ccc::::::::::ccc::;;;:clodddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddolc::::ccccllcc:;:coddddddxO0
	ooooooddddooooddddddddddoooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdolc:;:;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,;;;;;;;;;,,;;;;;;;;;,,,,,;:cloddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddocc::;:cloccllc;;:lodddddddxO0
	oddddoooooooddddddddddddoooooooooooooooddddddddddddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdolc:;;;;;;;,,,,;;;;;;;;;,,,,;;;;;,,,,,,;;;;;,,,,,;;;;;;;;;,,,,,,,;:looddxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdolc::;:ccloolccc:::lddddddxddxO0
	dddddddoddddddddddddddoooooooooooooooooodddddddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxdxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddolc:;;;;;;;;,,,,;;;;;;;;;,,,,;;;;;;,,,,,;;;;;,,,,,;;;;;;;;;;,,,,,,,,;:clooddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddoc::cc::loolccc::clodddddddxddxO0
	ddddddddddddddddddddddooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxdddddddddddddddddddxxxxdddddxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddoolllcc:;;;;;;;;;;;,,,;;;;;;;;,,,,,;;;;;;;,,,,;;;;;;,,,,;;;;;;;;;;;;;;,,,,,,;;:clodddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddlcccllllllolc;;::clddddddddddddxO0
	ddddddddddddddddddddddddoooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxddddddxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddolc:::;;;;;;;;;;;;;;,,,;;;;;;;;,,,,,;;;;;;;,,,,;;;;;,,,,,;;;;;;;;;;;;;;;;;;;;,,,;;:clodddxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxxxxdddxxxddddollcloolcllol:;,;:lodddddddddddddxO0
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	ddddddooooooooooooooooooooooooodddddoooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddol:;,,,,'''',,;:::::;;::;::cloodddddddddddddddddddddddddddddddddddddddddddl:,..'''.'''',,''..             .....'',;;;;,,;;,'',;;;;;;;;;;,,',,,;;;;;,''...',,,,'....''',,,;;;;;,,,,,;;;;;,,,;;;;;;;;;;;;;;;;;;;;,,,,;;;;;;;;,,,,,;;;;;;;;;,,,,;;;;;;;;,,,,,;;;,,,,,,,,;;;;;,,;;,,,;;;;,,....',,,,,,,,,,,,'........'''''''''',,;codxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddxO0
	ddddddddooooooooooooooooooooooodddddooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoolc;,,,,,,...',,;:::;;;:llc:::::cloodddddddddddddddddddddddddddddddddddddddoc;''',,,''',,,,,,'.                 ....',,;;;;;,'',,;;;;;;;;,,'',,,,;;;,,'',,''',,,'.....''',,;;;;;,,,,,;;;;;,,,;;;;;;;;;;;;;;;;;;;;,,,,;;;;;;;;,,,,,;;;;;;;;;,,,,,;;;;;;;,,,,,;;;,,,,,,,,;;;;;,,;;,,,;;;;,'...',,,,,,,;;;,,'.......'...'',,,''',;codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddxO0
	dddddddddoooooooooooooooooooooodddoooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddolc;,'''''''...',,,;;;;;;:lolc::;;;;:clodddddddddddddddddddddddddddddddddddddl;''',,,,,'',,,;,,,..     ....          ...',,;;;,'''',,;;;;;;,,'',;;;;,,,,,,,,,,''''''....''',,;;;;;,,,,,,;;;;,,,;;;;;;;;;,,;;;;;;;;;,,,,;;;;;;;;,,,,,;;;;;;;;;;,,,,,;;;;;;,,,,,;;;,,,,,,,,,;;;;,,;;,,,,;;;,'...',,,,,,,,,,,,'''.....'....',,,'',;codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddxO0
	ddddddddddooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddool:;,'''''''''...''.'',,;;;:clool:::;;;;:cooodddddddddddddddddddddddddddddddddol;,,,,;,,,'',,,,;;,'.    .':ll:..         ...'',,,,''',,;;;;;;,,',,;;;;,,'',,;,,,,''',,''..''',,;;;;;,,,,,;;;;;,,,;;;;;;;;;;;;;;;;;;;;,,,,;;;;;;;,,,,,;;;;;;;;;;;,,,,,;;;;;;,,,,,;;;,,,,,,,,;;;;;;;;;,,,,;;,,'...',,,,,,,,,,,''''...........'''',;codxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddxO0
	ddddddddddooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddolc:;,,,''''',,''''','.',;:ccc:::ccllc::::;;;;cloddddddddddddddddddddddddddddddddlc,',,;;,,''',,;,;;,'.     .;dOOxo:,.          ..''''',,,;;;;,'''',,;;,,,'',,;;;;,,'',,''....',,,;;;;;,,,,,;;;;,,,,;;;;;;;;;;;;;;;;;;;;,,,;;;;;;;;,,,,,,;;;;;;;;;;,,,,;;;;;;;,,,,,;;;,,,,,,,;;;;;;;;;;,,,,;;,,'...',,,,,;,,,,,,,''...............,:ldxxxxxxxxxxxxxxxxxxxxxxxddddddddddxdddddddxk0
	ddddddddddoddoodddoooddooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooddddddddddddolc:,,,,,,,''.'''..'',,'',:looool:;,,;cccccccc;,;:clodddddddddddddddddddddddddddddol:,',,;;,,''',,,,,;,'..     .ck0K0Oxo:'...       ....',,,;,,,'..',,;;;,,'',,,;;,''',''.......',,,;;;;;,,',,;;;,,,,;;;;;;;;;;,,;;;;;;;;;,,,;;;;;;;;,,,,,;;;;;;;;;;;,,,;;;;;;;;,,,,,;;;,,,,,,,,;;;;;;;;;,,,;;;,,'..''''''',,;;;;;,,'''''...........,:ldxxxxxxxxxxxxxxxxxxxxxxdddddddddddxxddddddxk0
	ddddddddddoddoodddooodddooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoodddddddddddol:;'.'',,,'''''''..'''''',coddddolc:;,,,:::::c::;;;:ccloddddddddddddddddddddddddddoc;,',,;;,,''',,,,,,,''..     'cxOKK00Oxdoc,.        ..'',,,,''..',;;;,,'',,,,'''......   ....',,,;;;;;,,',,;;;,,,,;;;;;;;;;;,;;;;;;;;;,,,,;;;;;;;;,,,',,;;;;;;;;;;,,,;;;;;;;;,,,,,;;;;,,,,,,,;;;;;;;;;,,,;;,,''''''''''',,,,,,,,,''.''...........,:ldxxxxxxxxxxxxxxxxxxxxxxxddddddddddxdddddddxO0
	ddddddddddoddoodddooodddoooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddolc;,''.''''''.''''.'''''''';ldddddddool:;,,,;;;::::::::::cloddddddddddddddddddddddxdl:;,,,,;,,'''',',,,,,,''..     .:xO0KKKKK0Oxl,.       ..'',,,,'''',,,,''''''......        ...''',,;;;;;,,',,;;;,,,,;;;;;;;;;;,;;;;;;;;;;,,,,;;;;;;;,,,',,;;;;;;;;;,,',;;;;;;;;,,,,,;;;;,,,,,,,;;;;;;;;;,,,,;,,''',,'''',,,,,,,,,,,'...........  ..,:ldxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddxO0
	ddddddddddoddoodddooodddooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoolc;,'''''',,''..''...''''''',:lddddddddddooc:;;;:::;;::::cc:::clodddddddddddddddddddxdl:,,,,,,,'..'',,,;,,;;;;,..     .;ok0KKKKKK0Oxc'.     ..',,,,;,,,''.........              ...''',,;;;;;,,,,,;;;,,,,;;;;;;;;;;;;;;;;;;;;;,,,,;;;;;;;;;,,,,;;;;;;;;;,,',;;;;;;;;,,,,,;;;,,,,,,,,;;;;;;;;,,,,;;,,,,,,,'.'',,,,,,,,,,,,''.......... ..,:odxxxxxxxxxxxxxxxxxxxxxxxddxxxdddddddddddddxO0
	dddddddddoodddddddoooddddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooc:;,'...''',,'''''''...'',''',:lodxddddddddddoolc::::::cclcc:::;;;:cloddddddddddddddddddc;''''',,,'''',,,,;;;;;;,'..      .:dkO0KKKKK0ko,.    ..',;;;;;,,'..            .....     ...''',,;;;;;,,,,,;;;,,,,;;;;;;;;;;,,;;;;;;;;,,,,,;;;;;;;;;,,,,;;;;;;;;;,,',;;;;;;;;,,,,,;;;,,,,,,,;;;;;;;;;;,,,,,,,,,,,'',,,,,,,,,,,,,',,''....'.......':lodxxxxxxxxxxxxxxxxxxxxxxddddxxddddddddddddxO0
	ddddddddooooddddddoooddddooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddolc;,,,,''..'''''..''....''',''';ldddxddddddddddddddollc::::clcc:::;;;;;:cloddddddddddddddoc,''',,,,,,,,'',,,;;;;;;;,'..      ..;ldkO000K0kl,.    .',;;;;,,..       ...'',:codo:'    ..''',,,;;;;;,,,,,;;;,,,,;;;;;;;;;,,,;;;;;;;,,,,,,;;;;;;;;;,,,,;;;;;;;;;,,',,;;;;;;;,'',,;;;,,,,,,,;;;;;;;;;,,,,,'''',,'',,,;;;;,,,,,,,'',,,'............,:lddxxxxxxxxxxxxxxxxxxxddddddxxxdddddddddddxO0
	ddddddddooooddddddoooddddoodddddddddddddddddddddddddddddddddddoddddddddddddddddddddddddddddddddddddddddddddddddddddddooc:,,,,,,,'..'''''''''...'',''',;coddddddddddddddddddddoolc:;;;;:::::ccc:;;::clodddddddddddoc,'',,;;;;;;,,,',,;;;;;;;,,'...       .',;coxkkdl'     .',;;;,'..      .':ldxkkOO0Od;.   ..'''',,,;;;;;,,,,,;;;,,,,,;;;;;;;;,,,;;;;;;;,,,,,,;;;;;;;;;,',,;;;;;;;;;,,'',,;;;;;;,',,;;;;,,;;,,,,;;;;;;;,,,,''''''''',,;;;;;;;;;;,,,,,,;;,,''..........,:lodxxxxxxxxxxxxxxxxxxxxxddxxxxdddddddddddxO0
	oooooooodddoddddddoooddddoodddddddddddddddddddddddddddddddddddoooodddddddddddddddddddddddddddddddddddddddddddddddddool:;'.''',,,'.......''.....',,'.',clodddddddddddddddddddddddolc;,',,;:::clc::;;;:ccloddddxdddoc,'',;,,,;;;;,,'',,,;;,,,'''''...         ...''...    ..',,,,'.     .':lxk00KKKK0xl;.   ...'''',,;;;;;;,,,,;;;;,,,,,;;;;;;;;,,,,;;;;;;;,,,,;;;;;;;;;;,,,,;;;;;;;;;,,'',,;;;;;;,,,,;;;;,,;;;;;;;;;;,;;;;,,''',,'..',,;;;;;;;;;,,',,,;;;;;,'..........',:lddxxxxxxxxxxxxxxxxxxxxxdxxxddddddddddddxO0
	oooooooodddodddoooddddddddddddddddddddddddddddooododddddddddddooooddddddddddddddddddddddddddddddddddddddddddddddddolc;,'''''''''.......'''....'',,''';loddddddddddddddddddddddddddolc:;;;:ccccccc;;;::ccclloddxddo:,.',;,,,,,;;,,''',,,,'''',,,,,,'...                  ...',,'..    .:ok00KKK00Oxo;..    ..''''',,;;;;;;,,,,;;;;,,,,,;;;;;;;;,,,,,;;;;;;;,,,;;;;;;;;;;,,,;;;;;;;;;;,,',,;;;;;;;,,,,;;;;,;;;;,,,;;;,,,;,,,'',,;,''.'',,;;;;;;;;,,',,;;;;;;,,'........''',:lodxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddxO0
	oooooooooooooooooodddoooooddddddddddddddddddddooooooddddddddooooooooddddddddddddddddddddddddddddddddddddddddddddolc;,''''''''''.......''''...''',,'',:odddddddddddddddddddddddddddddoollcccc::ccccc:::::c::ccloddo:'.',,,,,,,,;,,,'''''',,,,;;;;;;,,,'....       .........''''..    .,oO000OOkxl:,..     ..'''''',,;;;;;;;,,,;;;;,,,,,;;;;;;;,,,,,;;;;;;;;,,,;;;;;;;;;;,,,,;;;;;;;;;,,',,;;;;;;;,,,;;;;;;;;;,,,,,;;,,,,,,'',,;;,,,,,,,,,,,,,,,,,''',,,,,;;,,'........''',,:coddxxxxxxxxxxxxxxxxxxxxxxxdddddddddddxO0
	oooooooooooooooddoooooooooddddddddddddddddddddooooooodddddddoooddddoooddddddddddddddddddddddddddddddddddddddddddl:,'''',''''''...''...''''...''''''',codddddddddddddddddddddddddddddddddoolc::::cllc::;:cc:;;;:clc;'.',,,,,,,,,,,'....',,;;;;;;;;;;;,,,''.....''''''''..',,,,'..    ..;cllc::;'.       ....'''''',,;;;;;;;,,,;;;;,,,,,;;;;;;;,,,,,;;;;;;;,,,,;;;;;;;;;,,',,;;;;;;;;;,,',,;;;;;;;,,,;;;;;;;;;,,,,,;;,,,,''',;;,,,,;;;;;,,,,,,,,,''',,,,,,;;,,'.........',,'';codxxxxxxxxxxxxxxxxxxxxxxxxddddddddddxO0
	ddddddoooooooooddoodddooodddddddddddddddddddddoooddooodddddooooddddddoodddddddddddddddddddddddddddddddddddddddooc;'''''''''......''..''''...'','''',;ldddddddddddddddddddddddddddddddddddddolc:;;;;:c:::cc:;,,;::;,...'',,,,,,,,'''''',,,,,,;;;;;;;;,,,''''',,,;;;;,,''',;;;;,,......  ....         ......''''''',,;;;;;;,,,,,;;;,,,,,;;;;;;;;,,,;;;;;;;,,,,,,;;;;;;;;,,',,;;;;;;;;;,,',,;;;;;;;,,,,;;;;;;,,,,,,;;;,,,''',,;;,'',,;;;;;;;;;;;,,,,,,,;;;;;;,,,'........',;,,,:codxxxxxxxxxxxxxxxdxxxxxxxxdddddddddxO0
	ddddddddddooooodddddooooooddddddddddddddddddoooooddooooooooooooooddddoooodddddddddddddddddddddddddddddddddddddlc;,''''''''.....'''''''''...''',,,',;coddddddddddddddddddddddddddddddddddddddddol:;,,;:cc::::::::;,'....',,,,,,''',,,,,,,'',,,,;;;,,,,''',,,,;;;;;;;,'',,,;;;;,,''','.....      ....'''..''''''''',,;;;;;,,,,,;;;;,,,,,;;;;;;;,,,,;;;;;;;;,,,,,;;;;;;;;,,'',;;;;;;;;;,,',,;;;;;;,,,,;;;;;;;,,,,,,,;;,,''',,;,,,'',,;;;;;;;;;;;,,,,,;;;;;;;;;,,''.......,;::;;:clodxxxxxxxxxxxxxxdxxxxxxxxxdddxxdddxO0
	ddddddddddooooooodddooooooodddddddddddddddddoooooooooooooooooooooooooooooooooddooddddddddddddddddddddddddddddol;'''''''''....''''''''''''''''''''',;codddoddddddddddddoooollcclloodddddddddddddoool::ccccc::cccc;,'..'''',,,,'',,,;;;;,,,,'',,,;;,,'''',,;;;;;;;;,,,'',;;;;;;,,'',,,,,,''....'''',,,,'...'''''''',,;;;;;,,,,,;;;;,,,,,;;;;;;;,,,,;;;;;;;;,,,,,;;;;;;;;,,',,;;;;;;;;;,,',,;;;;;;,,,,;;;;;;;;,,,,,,;,,''',,;;,,,,,,;;;;;;;;;,;;,,',;;;;;;;;;;;,,'''.....',,,;;:cclddxxxxxxxxxxxxxxxxxxddddddddxxxddxO0
	ddddddddddooooooooooooooooooddddddddddddddddodddoooooooooooooooooooooooooooooooooooddddddddddddddddddddddddddoc,'.''''''.....''''..''''''''''',,,,;:codddddddddddddoolcc:;,,,,,;:clodddddddddddddddoollc:;;;;;:c:;''''''''',,,,,;;;;;;;;;;,,'',,''''',,,;;;;;;;;,,'',,,;;;;;;,,'',,;;;;;,,''',,;;;;;,'...'''''''',,;;;;;,,'',;;;;,,,,,;;;;;;;,,,,;;;;;;;;,,,,,;;;;;;;;,,',,;;;;;;;;;,,',,;;;;;;,,,,,;;;;;;;,,,,,,,,''',,,;;,,,,;;;;;;;;;;;,;;,'',;;;;;;;;;;;,,''''...',,,,,;;;;:ldxxxxxxxxxxxxxxxxxxdddddddddddddxO0
	ddddddddddooooooooooooodddddddddddddddddddddodddoooooooooooooooooooooooooooooooooooodddddddddddddddddddddddooc;''''''''''...'''''''''''''''''''''',:loddddddddddoolc:;,,'''''''',,;clodddddddddddddddoolc;,'''',,,'..'''..',,;;;;;;;;;;;;;;;,,''..'',,;;;;;;;;;;,,',,,;;;;;;;,,'',,;;;;;;,,'',,,;;;;,'...''''''',,;;;;;;,,'',,;;;,,,,,;;;;;;;,,,,;;;;;;;;,,,,,;;;;;;;;,,',,;;;;;;;;;,,',,;;;;;;,,',,;;;,,,,,,,,,,,,'',,;;;,,,;;;;;;;;;;;;;;;;,'',,;;;;;;;;;;,,'''''.'',,;;;;,,;:lodxxxxxxxxxxxxxxxxxddddxddxxxxddxO0
	ddddddddddooooooddoooooooddddooooddddddddoooodddooooooodddooodddooooooooooooooooooooddddddddddddoddddddddddol:,'.'''''''..''',''''',,,,'''''',,,'',;cooddddddddol:;,''''''','''',,;:codddddddddddddddddolc:;,''......''...',,;;;;;;;;;;;;;;,,,'''''',,,,,,;;;;;;,,',,;;;;;;;;,,'',,;;;;;;,,''',,;;;,,'..'''''''',,;;;;;;,,'',;;;;,,,,,;;;;;;;,,,,,;;;;;;,,,,,,;;;;;;;;,,',,;;;;;;;;;,,',,;;;;;,,,,,,;;;;,,,,,,,,,''',,;;;,,,,;;;;;;;;;;;;;;;;,'',,;;;;;;;;;;,,''','''',;:::;;;:cllddxxxxxxxxxxxxxxxxxddddddddddddxO0
	ddddodddddoooooooooooooddddddoooooooodddddoooooodddddoodddooodddoooooooooooooooooooodddddddddddodddddddddddoc,''''''''''..',,,,''',,,,,,''..',,,'',;codddddddolc;,'''''','''''''',;clodddddddddddddddddolcccc:;,''....'''''',,,;;;;;;;;;;;,,'',,,,,,,,,,,,,,,;,,,'',,;;;;;;;;,,'',;;;;;;;;,,'',,;;,,''''''''''''',;;;;;;,,'',;;;;,,,,,;;;;;;;,,,,,;;;;;;,,,,,,;;;;;;;;,,',,;;;;;;;;;,,',;;;;;;,,,,,,;;;,,,,,,,,,''',,,;;,,',,;;;;;;;;;;;;;;,,,,,,;;;;;;;;;;;,,''',,,'',:c:;,;:clccodxxxxxxxxxxxxxxxxxddddddddddddxO0
	ddooooddooooodddooooooodddddddooooooodddddoooooodddddoooodddddoooooooooooooooooddddoooddddoooooodddddddddool;'''''''''''.'',,,'''''''''''...'',,''';coodddddol:;''''''''''''''.'';:loddddddddddddddddddolcccccc::;,...',,,,''',,,,;;;;;;,,,,,,,;;;;;,,,,,''',,,''',,;;;;;;;;,,,'',;;;;;;;;,,''',,,''...'''''''''',;;;;;;,,,,,;;;;,,,,,;;;;;;,,,,,,;;;;;;,,,,,,;;;;;;;;,,',,;;;;;;;;;,,',;;;;;;,,,,,,;;;;;;;;,,,''.',,;;,,,,,,;;;;;;;;;;;;;;,,,,,,;;;;;;;;;;;,,''',,,,,;cc:,,,:cc::ldxxxxxxxxxxxxxxxxxddddddddddddxO0
	ddddddooooooodddooooooodddoooooooddoodddddoooooodddddoooodddddoooooooooooooooooddddddooooooooooodddddddddoc:,'',,,,''''...'''',,,,,,,,,,''..''''''',:loddddol:;'''''''''''''.'',:cooddddddddddddddddddoolcccccccc:;'..',,;;,,,,,,,,;;;;,,'',,,;;;;;;;;;;,,,,'''.'',,,,,,,,,,,,''',,;;;;,,,,,'''',''....'''''''''',;;;;;;;,,,,;;;;,,,,,;;;;;;,,,,,,;;;;;;,,,,,;;;;;;;;;,,',,;;;;;;;;;,,',;;;;;;,,,,,,;;;;;;;;;,'...',,,,'',,;;;;;;;;;;;;;;;;,,,,,;;;;;;;;;;;;;,''',,,,;:::;,,;;::;;cddxxxxxxxxxxxxxxxxxdddddddddddxO0
	dddddddddddoooddoooooooooooooooooddddoodddoooooooddddooooodddooooooooooooooooooddddddooooooooooodddddddddo:;,,,,,,'''''''',,,,,,,,,,;;,,,,'''''''''.':odddol:,'''''''''''''',;clooddddddddddddddddddddoolcccccc::;,'..',,;;,,,,,,,,,;,,,'',,;;;;;;;;;;;;;;;,''...',,,,,,,,,''''''',,,,,,,,,'...'','....'''''''''',;;;;;;,,,,,;;;;,,,,,;;;;,,,,,,,,;;;;;;,,,,,;;;;;;;;;,,',,;;;;;;;;;,,',;;;;;;,,,,,,;;;,,;;,,'...''''''..',;;;;;;;;;;;;;;;;,'',;;;;;;;;;;;;;;'..''',,;;;;;;;;;;,,;codxxxxxxxxxxxxxxxxddddddddddddxO0
	dddddddddddoooddooooooooooooooooooooooooooooooooodddddoooooooooooooooooooooooooddddooooooooooooodddddddddl:,''''''''''''''',,,,,,,,,,,,,,,,,,,,,,,'.';loolc;,'''''''''''''';coddddddddddddddddddddddddoolcccccc:;,''''',,;;;,;,,,'',,,,'',,;;;;;;;;;;;;;;;;,,''',,,,,,,,,,,''....'',,,,,,,'''..',,'...''''''''''',;;;;;,,,,,,;;;;,,,,;;;;;,,,,,,,,;;;;;;,,,,,;;;;;;;;;,,',,;;;;;;;;;,''',,,,,,,'''''',,,,,,,'....''''''..',,,,,;;;;;;;;;;;,,'',;;;;;;;;;;;;;,'...''',;:::cc:;,,,;:codxxxxxxxxxxxxdxxxddddddddddddxO0
	dddddodddddoooooooooooooooooooooooooooooooooooodddddddoodddddooooooooooooooooooddooooooooooooooodddddddddo:,''''''',,,,''''''''''''''',,,,,,,,,,,,,'',:c::,'''''''''''''',:loddddddddddddddddddddddddddolcccccc:,'',,'',,;;;;;;,,,''''',,,;;;;;;,,,,;;;;,,,,,,,,,;;;;;;;;;;,,''',,,,,,,,;,,,''',,''..'''''''''''',;;;;;,,,,,,;;;;,,,,,;;;;;;,,,,,;;;;;;;,,,,,;;;;;;;;;,,'',,;;;;;;,,''...''''..........'',,'...''''''......'''',,,,,;,;;;;;,'',;;;;;;;;;;;;,,'...''',,;:cc:;,,,;;:lodddxxdxxxxxdddxxdddddddddddddxO0
	dddddoddddooooooooooooooooooooooooooooooooooooodddddddooodddddooooooooooooooooooooooodddoooooooddddddddddoc;,,,,,''''''''''''''''''''''''''''''''''..'''''''''',,'''''',;codddddddddddddddddddddddddddddoolllc:,''',,,'',,,;;;;,,,'..'',,;;;;;,,,,;;;;;;,,''',,;;;;;;;;;;;;,,'',;;;;;;;;;;;,,''''....'''''''''''',;;;;;,,,,,,;;;;,,,,,;;;;;;,,,,,;;;;;;;,,,,,;;;;;;;;,,'''''''''''''.......'..........'''''...'',,,,'.............''''',,,,'.',,;;;;;;;;;;,,''..'''''',;::;,,'',;:lodddddddddddddddddddddddddddddxO0
	ddddddddddodddoooooooooooooooooodddddddddooooddooddddooooooooodooodddddddddddooddoooddddddddddddddddoodddoc;,,,,'''''''''',,,,,,,,,,,,,,,,'',,,,,,,'''''''''''''''''''';lodddddddddddddddddddddddddddddddooolc,'.',,,,,'',,;;;,,,''''''',,,;;;;;;;;;;;;;,,''',;;;;;;;;;;;;;,,'',;;;;;;;;;;;,'..'...............'',,,,;;,,,,,,;;;,,,,,,;;;;;,,,,,,,;;,,,,,,''',,,,,,''''.....''''...............''''''''''.....'',,,,,''''''............''''....'',,,,,,,,,,,,''',;;,,',;::;,'..',:clllllllllllllllllllllllooooolldk0
	ddddddddddodddoooooooooooooooodddddddddddoooooddoodddoooooooodddooddddoddddddddddoooddddddddddddddddoddddoc;,'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''''''''''..,;coddddddddddddoolloloollllloooooooolc;,'''',,;;,,'',,;;,,,'',,,,,,,,,,,,;;;;;;;,,,''',,;;;;;;;;;;;;,,,',,;;;;;;;;;;;,'....................''''''''.'''''''''''''''''''''.'''',,,,'''''',,,'''''...'''''''''''''....'''''''''..........''''''''..'',,,''''..................''''',,,,,,''';;;,,,;:;,'....';cclllllllllllllllllllllccllllllloxO
	ddddddddddooooooooooooooooooooddoooddddddoooooodoodddooooodddddooooddddddddddddddoddddddddddddddddddddddddl:,'',,;;,,,,,,,,'''''''''''''',,,,,,,'''',,'''''''''''''.';loddddddddddddoollllccccc::cccccccc:;'..',,'',,;,,'',,,;,,,,,,;;;;;,,''',,,;;;;;,''',,,;;;;;;;;;;;;,,'',,,;;;;;;;;;;;,'....................................................''',,,,,''''''''''''''''''''''',,,,''...''',,,''...........'',,,''....'',,,,,'''''''''''.............'',,,''...,;,,,,,;,'....';:cllllllccllllllllllllllccllllllloxO
	ddddddddddooddoooooooooooooooooodddddddooooooodddddddoooooddddddddddddddddddddddddddddddddddddddddoooddddol:,''',,,,''',,,,,''',,,,'..''',,''',,,,,,,;,,,''''''''''',:oddddddddddddoolllcccccc:::ccc:::;,'...',,,''',,,,'''''''',,;;;;;;;;;,,,,,,,,,,,,'',,,;;;;;;;;;;;;;,,',,;;;;;;;;;;;;,,'.......................'............................''',,,,'''''''''''''''.''''''''''......''''''''''''''''...',,,,,,,''',,,,,,,,,,,'''',,,,'....'''''',,',,'''....',;,,,,,,'..',;:clllllccccccllllllllllllllllllllloxO
	dddddddddoodddoooooooooooodooooodddddddoooooddddddoooooooooooooooooooooddddddddddddddddddddddooodddooodddol:,'.',,,,,,,,,,,,,,;;;;,,'',,,,,,,,,,,,,,,,,,,,,''''''..',:clooodddddddolllllccccccc:::::;;,''.'',,,,,'''''''''''..'',,;;;;;;;;;;;;,,,,,,,'''',,,,,,,,,;;;;;;;,,',,;;;;;;;;;;;,,'........................'....''''''''......'','''''......'''.....''',,'''....'''''''......'''''',,,,,,,,,,,'.'',,;;;;,,,,,;;,,,,,,;;,,,,,,,,,'....',,,,'''',,,''....';;,,'''...',:clccllllcccccllllllllllllllllllllccoxO
	ddoooooddddooooooooooooooodooooooddddddoooooooooollccc::::::::::::cccclllooooooooddddddddddddoddooooooooooc:,'',,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,''''''''''''''...',,;:cllooooollccc::::::::::;;,,,''''',,,,,,,''..'',,,,'..',,;;;;;;;;;;;;;;;;,,''..',,,,,,,,,,,,,,,,,,'',,;,,,,,,,,,,,'',,,'..................''''''.......'''''''',,''''''''''...'''.....'''''''..''',,,,,,,;;;,,,,;;;;;;;;;,,,;;,'.',;;;;;,,,,,;;;;;;;;;;;;;;;;;;;,'....',,,,,'''''''.....,;;,,''''..,;clllllllllccccllllllllllllccccccccccoxO
	oooooddddddoooooooooooodoooooooodddoooooooollcc::;,''''''''''''''''',,,;;;::cccllooooodddooooooollccccc:c:;,''',,,,,,,,,,''''''''''...',,'''''''''''''''''''''''...',,,,,,;;;;;;;;;,,,,''''''''''''''''',,,,,,,,,'...',,;;;,''',,;;;;;;;;;;;;;;;;,,'''',,,;,,,,,,,,,,,''''''',,,''',,,,'..'',;,'''''''.........''',,,,''''....''''''''''''''''..''''''''''''',,,,,,,,,,,,,,;;;::::::::;::::::::::::::;,'.',;;;;;,,,,;;;;;;;;;;;,,,;;;;;;,'..'',,;;,,,,,,,,''...',;;;;:::;,,,:cllllllllllllllllllllllllcccccccccccoxO
	oooodddddddoooooooooooddoodooooodddooollcc:;,,,''.....'''''''''''''',,,,,,,,,,,,,;:cclooollccc:;;,,'''',,,'..'',,,'''''''''''''''''.....''',,,,,,,,,,,,,,,,,,''...',,;,,,,,,,''''',,,,,,,''''''''....',,,,,,,,,,'....',,;;;;,,'',,;;;;;;;;;;;;;;,,,'',,,;;;;;;;;;,,,,,,''...'',,,,,,,,,,'',,;;,''''''''''''''''',,,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,;;;;;;;;,,,,,;;::cccccccccccccllllllccc:;,..',;;;;,,',,;;;;;;;,,;;;;;;;;;;;,'..',,;;;;;;;;;;,,,'',;:ccccclcc;,;:cclllllllllcccccccccccccccccclllllccoxO
	ooodddddddoooodddoodddooooddoooddooolc:;,'''''''''''''',,',,,,,,,',,,,,,,,,,'''''',,,,;;;,,,,,,,''''''',,,''''',,'''',,,,,,,,,,,,,,''..',,,,,,,,,,,,,''','''''...',,,;,,,,,,,,,,,,,,,,,,,,,,''''''..'',,,;;,,,''''''''',,;;;;,'''',,;;;;;;,,,,,,,''',,,;;;;;;;;;;;;;;;;,'''',,,;;;;;;,,,,,,;;;,'''''''''''''''',,;;;;;;,,,,,;;;;;,,;;;;;;;;;;,,,;;;;;;;,,,,,,;;;;;;;;,,,,,;;:ccllllllllllllllllllllc:,'.''',,;;,,',,;;;;;;;;;;;;;;;;;;;;,'..',,;;;;;;;;;;;,,',,;:clllllcc;,;:cclllllllllllllllllllllllllccclllllloxO
	doddddddddooooddooooooooooooooooolc:;,,''''''''''''',,,,,,,,,,'''',,,,,,,,,,''''',,,,''''''''''',,,,,,,,,,,'''',,,,,,,,;;;;;,,,,,,,''..'',,,,,'''''''''''',,,'...,,,,;;,,,,,,,,,,,,,,,,,,,,,''',,,''''',,,,'''',,,,,,,,,,,,;;,''''',,,;;;;,,;,,,''',,,;;;;;;;;;;;;;;;;;,'',,;;;;;;;,,,',,,;;;;,'''''''''''''''',,;;;;;;,,,,,,;;;,,,,;;;;;;;;,,,,;;;;;;;,,,,,,;;;;;;;;,,,,,;;:cclllllllllllllllllllcc;,'',,',,,,,'',,;;;;;;;;;;;;;,;;,;;;,'..,,;;;;;;;;;;;;,,'',;cllllllc:;,;:ccllllllcccccccccccccccccccccccclllloxO
	ddddddddddooooddoooooooooooooolc:;,'''',,,,,''''',,,,,,,,,,,,,,,,,,,,,;,,,''''',,,,,,,,,,,,,'''''''',,,,,,'''',,,;,,'',,,,,,,'''''''.....'''''''''',,,,,,,,,,''.',,,,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''','''',,;;;;,,;,,',,,,,''',''',,,;;,,;,,,',,;;;;;;;;;;;;;;;;;;;,,'',,;;;;;;,,,,,,,,;;;;,'''''''''''''''',,,;;;;;,,,,,,;;;,,,,;;;;;;;;,,,,,;;;;;;,,,,,,;;;;;;;;,,,,,;;:cclllllllllllllllllllc:;'.',,,,,,'''',,;;;;;;;;;;;;;;;;;;;;,'.',;;;;;;;;;;;;;,'.',:clllllllc:;;ccccccccccccccccccccccccccccccccccllloxO
	odddddddddoooooooooooooooooolc;,'''',,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,''''.''''.''',,,,,,,,,,,,,,,,',,,''...'''',,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''..'''',,,;;;;,,;;,,'',,'',,,,,,''',,,,,,,,,,,;;;;;;;;;;;;;;;;;;;,,'',,;;;;;,,,,,,,,,;;;;;,'''''''''''''''',,,;;;;;,,,,,;;;;,,,,,;;;;;;;,,,,,;;;;;;;,,,,,;;;;;;;;,,,,,;;:cclllllllllllllllllllc;,'',,;;;;,,'''',,;;;;;;;;;;;;;;;;;;;,'.',;;;;;;;;;;;;;,'.';:clllllllcc:ccllccccccccccccccccccccccccccccccccccoxO
	ddddddddooooooooooooooooool:;,'''',,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,''..'''..''''',,;;;;;;;;;;,,,,;,,'..'',,,,,,,,,,'',,,,''..',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'....',,,,,,,,,,,;;,,'''''',;;;;,,,'''',,''',,;;;;;;;;;;;;;;;;;;;;,'',,;;;;,,,'',,,,,,;;:;;,'''''''''''''''',,;;;;;;,,,,;;;;;;,,,;;;;;;;;,,,,,;;;;;;;,,,,,;;;;;;;;,,,,,;;:cclllllllllllllllllll:,'',,;;;;;,,'',''',,;;;;;;;;;;;;;;;,,'..',;;;;;;;;;;;;;,'.';ccllllllllllllllllccccccccccccccccccccccccccccccccoxO
	ddddddddoooooooooodddoool:,'..'',,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,,'''',,,,;,,,,,,,,,,,,,,,,,,,,,'''',,''.'',,,;;;;;;;,,,,,,,,,,,,''''''''''''''''',,''...',,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,'''....'',,,,,,,,,,;;,,''..'',,,;;;;;,,'''...',;;;;;;;;;;;;;;;;;;;;,,'',,;;,,,'',,,,,,,,;;;;;,''''''''''''''''',,;;;;;,,,,;;;;;;,,;;;;;;;;;,,,,,;;;;;;;,,,,,;;;;;;;;,,,,,,;:ccllllllllllllllllllc:,',,;;;;;;,,,,,,,'',,,,;;;;;;;;;;;,,'...',;;;;;;;;;;;;;,'.':clllllllllllllllllllllllllllccccccccccccccccccccccoxO
	ddddddddooooooooooodool:;'....',,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,'..'',,,,,,,,,,,,''''''''''''......',,,,,,,,,,,'..',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,'''',,,,,,,,;,,,'''''''',,;;;;;,,'....',,,,;;;;;;;;;;;;;;;;,,''',,,,,,,,,,,,,,,,,,,,;,,''''''''''''''..'',,,,,,,,,,;;;;;;,,;;;;;;;;;,,,,,;;;;;;;,,,,,;;;;;;;;,,,,,,;:ccllllllllllllllllllc;,',,;;;;;;;,,,;;,,,,',,,;,,,,,,,,,,'....',;;;;;;;;;;;;,,'',:lllllllllllllllllllllllllllllcccccccccccccccccccccoxO
	odddddddddddoooooooolc;'.....',,,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,'''',,,,,'''''',,,,'''''''''''...'',,;;,,,,,,''',,,;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,;;;;,,''',,,,,,,,,,'',,,,,,,,,,,,;,,'''''''''',,,,;,,,;;;;;;;;,,'''',,,,,,,,,,,,,,,''''''''''''''''''''''''''''''''''',;;;;;;,,;;;;;;;;;,,,,,;;;;;;;,,,,,;;;;;;;;,,,,,;;:cclllllllllllllllllc;,'',;;;;;;,,,;;;;;;;,,,,,,,''',''',,'..'',,,,,,,,,;;;;,'..',:lllllllllllllllllllllllllllllllllllllllcccccccccccoxO
	ooooodddddddooooool:;'......',,,,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,'''',,,,;,,,,,,,,,,,,,,,,,,,,,''',,,,,'''''''''',,,,,,,,,,,,,,,,,,'..',,;;,,,,,,''',,,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,'''',,,,,,,'',,,;;;,,,,,,,,,,''',,,,,,,'''''''',,,,,,,,,,'...',,;;;,,,,''.'''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,''..'',,,;,,,,;;;;;;;;,,,,,;;;;;;;,,,,,;;;;;;;;,,,,,;;:cclllllllclllllllll:,''',;;;;;,,,,;;;;;;;;;;;;,,,,,,,,,,,,''',;;;,,,,,,',,,,'..';cllllllllllccccclllllllllllllllllllllllllccccccccccoxO
	lllllllllllllllolc;,........',,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,'''',,,,,,,,,,,,,,;;;;,,,,'''',,,,,,''...',,,;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,'',,,,;;;,,,,;;,,''''',,;;;;;,,,,''.'''''''''''......,,,,'''''''',,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,'',,,,'''',,,,;;;;;,,,,,;;;;;;,,,,,,;;;;;;;;,,,,,;;:ccllllccccllllllllc:,..'',;;;;,,,,;;;;;;;;;;;;;;;;;;;;;;,,'',,;;;;,,,,,,,,,,''';:ccccclllllc:;;;:cllllllllllllllllllllllllccccccccccoxO
	cccc::cclccccccc:;'........',,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,''''',,,,,''''',,,,,,,',,,,,,,,,,,,''..'',,''.......''',,,,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,,,''',,;,,,,,,,,;;,,'...'',,,,;;;;;,,''',,,,,,,,,'....'',,''.''',,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,;,,,,,,,,,,,;;;;,,,,,;;;;;;,,,,,;;;;;;;;;,,,,,;;:cclllllccccllccccc:;'..'',,;;;,,,,;;;;;;;;;;;;;;;;;;;;;,,''',;;;;;;;;;;;;;;,'',::;;;:clllllc;,',;cllllllllllllllcclcccccccccccccccccoxO
	cc::;::ccccccc:;,'.........',,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,'''''',,,,,,,,,,,,,,,''......................''',,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''','''',,;;,,,,,,,,;;,,''.''''',,,,,,,,'',,;;;;,,,,,,'''',,;,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,;;;;;;;;;;;;;;,,,,,,,,,,,,;;;;;;;,,,,,,,;;;,,,,,''',,;;:cccccccccccccc:;;;,''',''',,,,,,;;;;;;;;;;;;;;;;;;;;;;,,',,,;;;;;;;;;;;;;,,'',::;,,;:lllllc;,',;:cllllllllllcccccccccccccccccccccccoxO
	cc::;;:ccccccc:,'..........',,,,',,,,,,'''',''..'',,,,,,,'''''''''''''''''''',,,,,,,,,,,,,,,,,,,,,,,'''''''',,,''''''''',,,''''''''...........................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'...''',,,,;;;,,,,,;;;,,''',,,''''',,,''''',,,,,,,,,,''.',,;;;;;;;;;;;;;;;;;;;;;;,,,,,;;;;;;,,,,,,,;;;;;;;;;;;;;;;;;;;;;;,,,'',,''',,,,,,,,,''''''',''''''''''',,;;;;;;;;;;;;::;,''''.',,,,''''',;;;;;;;,,,,;;;;;;;;;;;;,'',,;;;;;;;;;;;;;,,'..,::;,,;clllllc;,',;:ccccccccccccccccccccccccccccccccccoxO
	::::;;:ccccccc:,'..........''''''''''''''''''.....''''''''''''''''''''''''...''''''''''''''',,,,,,,'''''...''''''''...'''''''''''''..............................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,'.....''''',,,,,,,,,,,,,''',,;,,,,,,,,'...'''',,,,,,,''..'',;;;;;;;;;;;;;;;;;;;;;;,,,,,,;;;,,,,,,,;;,;;;,,,,;;;;;;;;;;;,,,,,,,,,,'....''''''''''''''''''''''',,,,,,,,,,,''''''',''.....',;;,,'...',,;;;;;;,,;;;;;;;;;;;;,,'',;;;;;;;;;;;;;;,''.',::,,,;clllllc;,',;:ccccccccccccccccccccccccccccccccccoxO
	::::;;:cccccc:;,'...........'''''''''''''''''''...'''''''''''''',,,'''''''...'''''''''''''''''''''''''''''...''''''''''',,,''''..................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''',,,''''',,,,;;,,,'',,,;;;,,,;;,,'''',,,,,,,;;;;,'..'',,;;;;;;;;,,,;;;;;;;;,,,,;;;;;;;;,,,,,;;;;;;;;,,;;;;;;;;;;;;;;;;;;,,,''....''',,,,,,,,,,,,,,,,,,,,;;;;;;,,,,,,,,,,,,,,''....',;;,'.....',,,;;;;;;,,;;;;;;;;;,,''',;;;;;;;;;;;;;,,'..';::;,,;:lllllc;,',;:ccccccccccccccccccccccccccccccccccoxO
	::::;;:cccc:::;,'...........'''''',,,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,'.......................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,''',,,;,,'',,;;;;,,,,;;,,'',,,;;,;;;;;;;,'..',,,;,,,,,,,,,,;;;;;;,,,,,,,;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;,,,,,,,,,;;,,'..'''''',,,,,;;;;;;;;;;;;;,'',,,;;;;;;;;;;;;,,'''',;::;,;;clllllc:,,,;:ccccccccccccccccccccccccccccccccccoxO
	::::;;:cccc::;;;,'..........'',,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,''''',,;;,,,,,,,,,,,,,,,;;,,,,,,,,,''''''''''''''...........................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,,,,''',,,,'',,;;;;,,,,,;;,,',,;;,,,;;;;;;;,'..',,,;;,;;;;;,,;;;;;,,,,,,,,,,;;;;;,,,,,,''''''''''''''''''''',,,,,,,,,,,,,,,,,,,,'''''''''''''''''''''''''''''',,,,,;;;;;;;;;;;;,''''',,,,,,''''',,,,;;;;;;;;,,'',;;;;;;;;;;;;;,,'',,;;:ccc::cclllllcc:::ccccccccccccccccccccccccccccccccccccoxO
	::::;;:ccccc::::;,'..........'',,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,'''''',,,;;,,,,,,,,,,,,,,,,,,,,,,,,'''''..'''''''.............................................',;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,;,,,,,,,,,,,''.'''',,,;;,,,;;;;,,,,,,,;,,,,,,,;;;;,'.',,;;;;;;;;;;,,;;;,,,,,,,,,,,,,,'''''''''''''''',,'',''''''''''''''''''''''''''''''''''''''''''''''',''''''''''''''''',,,'',,,,,,,''',,,,,,,,,'''''''',,,,;;;,,,',,;;;;;;;;;;;;,,''';:cccllllcccllllllllccccccccccccccccccccccccccccccccccccccoxO
	::::;;:cccc:::::::;,'........'',',,,,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,''.'',,;;,,,,,,,;,,,,,,,,,,,'''''''''''''...................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'....',,,,,,;;;;;;,,',,,;;;,,,,,,,,,,,'.',;;;;;;;;;;;,;,,,,,,,,;,,,,''''''''''',,''',,,,,,,,,,,,''',,'''''''''''''''''''''',,,,,,,,'',,,,,,,,,,,,'',,,,''''''',,''''',,,''..',,,,,,,,,,,,'''''''''''''''',,;;;;,,;;;,,''..',:llllllllcccccclllllccccccccccccccccccccccccccccccccccccccoxO
	::::;;:cc::c::;:ccc:,'........'',,,,,,,,,,,,,,''.'',,,,,,,,,,,,,,,,,,,,,,''..'',,,,,,,,,,,,,'''''''''''''''''.........................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,...'',,,,,,,;;;;;,'',,;;;;;;,,,,,,,,'..',;;;;;;;;;;,,,,,,,,,,,,,''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''.''',,,,,,,,,,,,,,,,'''''''....''''''''''',''...',:clllllllllllllllllllccccccccccccccccccccccccccccccccccccccoxO
	::::;;:cc:ccc::::ccc:;,'.......',,,,,,,,,,,,,,''.'',,,,,,,,,,,,,,,,,,,,,,,'''''''''''''''''''''''''''''''...............................................................,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.',,,,,,,,,,,,,,,'',,;;,,,,,,,,,,,,'..',;;;;;;;;;;,,,,,,,;;;,''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,'''''''''''''''''''''''';:clllllllllllllllllllllllcccccccccccccccccccccccccccccccccccoxO
	::::;;:ccc:cc::::::ccc:;,'......',,,,,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,'''''......'''''''''''''''''...................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,''''',,,,,,,,,,,,;;;;,'.',;;;;;;;;,,,,,,,;;;,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',;:clllllllllllccclllllccccccccccccccccccccccccccccccccccccccccoxO
	::::;;:cc:::::;:::::ccc:;;,''.....'',,,,,,,,,,,,''''''',,,,,,,,,,,'''''''''''..''...'''',''''''''........................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,,,'...'',,,,,;;;;;;;;;;,,'',;;;;,,,,,,,,,,;;,,,'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''';:cllllccccccc::ccllllc:;;;::ccccccccccccccccccccccccccccccccccoxO
	cc::;;:cc::::;;::::cccc::::::;,'....'',,',,,,,,,,,'''''''''',,,,,''''''''''''',,,''''''''''..............................................................................',;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,;,,'...',,,,,,;;;;;;;;;;,,',,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',;:cclllc:;;:::;,,:cccccc;,,,;:ccccccccccccccccccccccccccccccccccoxO
	cc::;;:::::::;;::cccccc::::ccc::;,'...''',,,,,'',''''''''''....'''',,,,''',,,,,,,'''......................................................................................,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,;;,''',,,;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,''...'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.',;cccclllc;',;;,,'';cccccc;,'',;:cccccccccccccccccccccccccccccccccoxO
	c:::;;:::::::;;::::cc:::::ccccc::;,,'.'''''''''''''''''''''''''''',,,,,,,,,,,,,,''........................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,'',,;;;;;;,,,,,,,;;;;;;;;;,,,,,,,,;;;;,,'''',,,,,,,,,,,,,,,,,,,,,,,,,''..''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.',:cllccllc:;'',;;,'';cccccc;,'',;:cccccccccccccccccccccccccccccccccoxO
	cc::;;:::::::;;:::::::::::cccccc:;,,''''.......'''''''',,,,,''''',,'',,,,,,,''.............................................................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',;;;;;,,,,,,,,,,,,,;;;;;;;,,,,;;;;;,,'''',,,,,,,,,,,,,,,,,,,,,,''''..'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''';:clllllllc:,'',;,,'';cccccc:,,',:ccccccccccccccccccccccccccccccccccoxO
	cc::;;:::::::;;::::::::::::ccccc:;,''''''.....''''',,,,,,,,,,''''''''''',,,;;,'''...........................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,'',;;;;;;,,,,,,,,,,,,,,;;;;;;,;;;;;;,''.'',,,,,,,,,,,,,,,,,,,,,,''...'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''..';cclllllllcc:,'',;,''';cccccc:;,,;:ccccccccccccccccccccccccccccccccccoxO
	::::;;:::::::;;:::::::::;;:ccccc:;,'''''''''',,,,,,,,'',,,,,,,,,''...',;:cllllllc:,'........................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,;,,'',;;;;;;,,,,,,,,,,,,,,;;;;;;;;;;;;;,'..',,,,,,,,,,,,,,,,,,,,,,'''.'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''...';cllllllllllc:,,,;;;,,,;cccccc::;;:cccccccccccccccccccccccccccccccccccoxO
	::::;;:::::::;;:::::::;;;;:ccccc:;,''''''''',,;;;;;;,,,,,,,,,,,,,,'';:lodxkkkkkkxoc;,''''...................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,,,,'',;;;;,,,,,,,,,,,,,,,,;;;;;;;;;;;;,,'.',,,,,,,,,,,,,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'....';:llllcccclllcc:;;::::;::ccccccccc:ccccccccccccccccccccccccccccccccccccoxO
	::::;;:::::::;;:::::::;;;;:ccc:::;,''''''''''''',,;::clllllcc::cccccloxxkkkkkkkkxoc;,''''...................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',;;;;,,,,,,,,,,,,,,,,,,;;;;;;;;;,,,''',,,,,,,,,,,,'''',,,''..'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''...';clllllcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccoxO
	:::;;;:::::::;;:::::::;;;;:ccc:cc;,''''''''''''''',,,:odxxxxxxxxxxxxxxkkkkkkkkkkxoc;,'''....................................................................................',;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',;;;,,,,,,,,,,,,,,,,,,,,;;;;;;;;,,,''',,,,,,,,,,,''..'''''.'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''..',;clllllccccccccclllccccclcccccccccccccccccccccccccccccccccccccccccccccccoxO
	::::;;:::::::;;:::::::;;;;:cccccc;,'''''''''''''''''';coxkkkkkkkkkkkkkkkkkkkkkkkxoc;,'''....................................................................................',;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,''.......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'.',;cclllllllccclllllllcccclllllllllccccccccccccccccccccccccccccccccccccccccoxO
	:::;;;:::::::;;:::::::;;;;:cccccc;,'''''''''''''''''',:ldxkkkkkkkkkkkkkkkkkkkkkkxoc;,''....................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,;,,,'..',,,,,,,,,,,''.......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',;:cllllllllllllllllllllcclllccclllllccccccccccccccccccccccccccccccccccccccoxO
	::;;;;:::::::;;:::ccc::;;;:ccccc:;;,'''''''''''''''',;:ldxkkkkkkkkkkkkkkkkkkkkkkxoc;,......................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,;,,'...',,,,,,,,,,'''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''.'',:cclllllllllllllllllllllllllcccclllllllccccccccccccccccccccccccccccccccccccoxO
	::;;;;:::::::;;:::cccc:;;;:ccccc:;,,'''''''''''''''',;ldxkkkkkkkkkkkkkkkkkkkkkkkxoc;,.....................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,,,,,,,,,,,,,;;;,,,,;,,'..'',,,,,,,,,'''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''........''''',;:ccllllllllcccccllllcc::cc:::::ccccclllllccccccccccccccccccccccccccccccccccccoxO
	::;;;;:::::::;;;::::cc::;;::cccc:;,''''''''''''''''',:oxkkkkkkkkkkkkkkkkkkkkkkkkxoc;,.....................................................................................',;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,;;;;;;;;;;;;;;;,,,,;,,'''',,,,,,,,,''.....''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''......''''',,,,,;;;:ccccllllllllccccccllc:;,,;;;;,,;ccccccccccccccccccccccccccccccccccccccccccccccoxO
	::;;;;:::::::;;;::::::::;;;:cccc:;,''''''''''''''''',:okkkkkkkkkkkkkkkkkkkkkkkkkxoc;,....................................................................................',,;,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,;;,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;,,,,,,,,,;;;;;;;;;;;;;;;;;;;,,,'',,,,,,,,,,,'.....'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''',,,,,,,;;::::cccccccccccccccclllllllllcclcc:,'',;;,'';ccccccccccccccccccccccccccccccccccccccccccccccoxO
	::;;;;:::::::;;::::::::::;;:cccc:;,''''''''''''''''',:okkkkkkkkkkkkkkkkkkkkkkkkkxoc;,...................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,;;;,,,,,,;;;;,,,,,,;;,,,,,,,,;;;,,;;;;;;;;;;;;;;;;;;;;,,''',,,,,,,,,,''....'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''',,,;;:cccccccllllllllcclllllccccccclllllllllcclcc:,'',;;,'';ccccccccccccccccccccccccccccccccccccccccccc:::lxO
	::;;;;:::::::;;:::::cc::;;;:cccc::;,,,,,''''''''''',,cdkkkkkkkkkkkkkkkkkkkkkkkkkxdc;'..................................................................................',,,,,,,,,,,,,,,,,,,,,'''''''''........',,,;;;;;;;;;;;;;;;;,,,,,,,,;;;;;,;;;;;;;;;;;;;;;;;;;;;;;;;,,'''',,,,,,,,,''....',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''.....'',;::cccclllllllllllllllllllllllllccccccllllllllccclcc:,'',;;,,,;ccccccccccccccccccccccccccccccccccccccccc:;;,;cxO
	::;;;;:::::::;;::::::::;;;::cccc:::::::;;;,''''''''',:okkkkkkkkkkkkkkkkkkkkkkkkkxdc;..................................................................................',,,,,,,,,,,,,,,,,,,,,,''''',,,''''''.....'',,,;,,,,,,,,;;;;;,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;,'''',,,,,,,,,''...'',,,,,'''..........''''...'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''',,'''',;::ccclllllllllllllllccccccccclllllllcccccllllllccccclcc:,'',;;;,,;ccccccccccccccccccccccccccccccccccccccccc:;,,,cdO
	::;;;;:::::::;;:::::::;;;;::cc::::::::::::;,'''''''',:okkkkkkkkkkkkkkkkkkkkkkkkkxdc;.................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'......',,,'......',,,,,,,,,,'..........',,;;;;;;;;;;;;;;;;;,,'..',,,,,,,,''....''''...........................''''''.'''''''''',,'''''',,,,,,,,,,''''.''.....''..''',,,,;;::::;,,,;:clllllllllllllllccccccccccccclllllllcccccccccccccccclcc:;,,;;;;,,:ccccccccccccccccccccccccccccccccccccccccc:;,,;cdO
	::;;;;:::::::;;:::::::;;;;;:::::::::::::::;,'''''''',:okkkkkkkkkkkkkkkkkkkkkkkkkxdc;.................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,'''''''''',,,,,''........      ..'',,'''...............'',,,,;;;;;;;;;;;,,'...',,,,,,,''.....................'',,,,,,''''''''''''''''''.......................'...........'',,;;:::ccccclllc:;,,;:cllllllllllllllcccclllllllllllllllllllllllccccccccccllcc:::::::::ccccccccccccccccccccccccccccccccccccccccccc;,,;cdO
	::;;;;:::::::;;:::::::::;;;:::::::::::::::;,'''''''',cdkkkkkkkkkkkkkkkkkkkkkkkkkxoc;................................................................................',,,,,,,,,,,,,,,,,,,,''''..............',,,,'..             ...............''''''....'',,;;;;;;;;;;,'..'',,,,,,,''..........'''''''''''',,;;;;;;;,,,,,,;;;;,,,,,,,,,'''''''''''''''''''''''',,,,''',,,,;:cclllllllllllcc:;;:ccllllllllllllllllllllllllllllllllllllllllllcccccccccllllcccccccccccccccccccccccccccccccccccccccccccccccccccc:,,;cdO
	::;;;;:::::::;;::::::::::;;:::::::::::::::;,''''''',;cdkkkkkkkkkkkkkkkkkkkkkkkkkxdc;...............................................................................',,,,,,,,,,,,,,,,'''''''.'''''''...........''''..               .....'''',,,,,,,,,,'''''',,;;;;;;;;;,'.'',,,,,,,''....''''''''''''''''''',,;;;;;;;;,,,,;;;;;;,,,;;;;;;;,,,,,,,,,,,,,,,,,,,;;;;;;;;,,,;;;;:cclllllllllccccccccclllllllllllllllllllllllllllllllllllllllllllccccccccclllllllccccccccccccccccccccccccccccccccccccccccccccccccc:;;:lxO
	::;;;;:::::::;;:::::::::;;;:::::::::::::::;,'''''''',cdkkkkkkkkkkkkkkkkkkkkkkkkkxdc;..............................................................................',,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,''...........             ...'',,,,,''''....',,,,,,,,,,;;;,,,,,,'..',,,,,,,,'....,,,'''''''''''''''''',,;;;;;;;,,,,;;;;;,,,,;;;;;;,,,,,,;;;;;;;;,,,,,;;;;;;;;;,,,;;;;:cccccccccccccccccccclllllllllllllllllllllllllllllllllllllllllllccccccccclllllllcccccccccccccccccccccccccccccccccccccccccccccccccccccoxO
	::;;;;:::::::;;::::::::;;;;:::::::::::::::;,'''''''',:okkkkkkkkkkkkkkkkkkkkkkkkkxdc;............................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,''''......              ..''','''............'',,,,,,,,,,,,;,,'''',,,,,,,,'...',,,,'''''''''''''''''',,;;;;;;;,,,,;;;;;,,,,;;;;;;;,,,,,;;;;;;;;,,,,,;;;;;;;;;,,,;;;;:ccccccllcccccccccccccclllllllllllllllllllllllllllccccccccccclllccccccccclllllllcccccccccccccccccccccccccccccccccccccccccccccccccccccoxO
	::;;;;:::::::;;:::::::;;;;;:::::::::::::::;,''''''',;cdkkkkkkkkkkkkkkkkkkkkkkkkkxdc;...........................................................................',,;,,,,,,,,,,,,,,,,,,,,,,,,'''..............''...               .......................',,;;;,,,,,,,,'''',,,,,,,,'...',;,,,,'''''''''''''''',,,;;;;;;,,,,,,;;;;,,,,;;;;;;,,,,,;;;;;;;;;;,,,,;;;;;;;;;,,,;;;;:cccclllllccccccccccccccclllllllllllllllllllllllllccccccccccccllcccccccccllllllccccccccccccccccccccccccccccccccccccccccccccccccccccccoxO
	::;;;;:::::::;;:::::::;;;;;:::::::::::::::;,''''''',;cdkkkkkkkkkkkkkkkkkkkkkkkkkxdc,..........................................................................',,,;,,,,,,,,,,,,,,,,,,,''''.......................                ......''',,,,,,,,,''..'',,,;;;,,,,,,'.'',,,,,,,'...',,,,,,,''''''''''''''''',,;;;;;;,,,;;;;;;;,,,,;;;;;;;,,,,;;;;;;;;;;,,,,;;;;;;;;;,,,;;;::ccllccllllcccccccccclllllllllllllllllllllllllllllllllccccccccllcccccccccllllllccccccccccccccccccccccccccccccccccccccccccccccccccccccoxO
	::;;;;:::::::;;:cc::::;;;;;:::::::::::::::;,''''''',;cdkkkkkkkkkkkkkkkkkkkkkkkkkxdc,.........................................................................',,,,,,,,,,,,,,,,,,,,,'''.......''.................              ....''''''''''',,,;;;,,,,'',,,,;;,,;,,'''',,,,,,,'....',,,,,,''''''''''''''''',,,;;;;;;,,,;;;;;;;,,,,;;;;;;;,,,,;;;;;;;;;;,,,,;;;;;;;;,,',,;;;:cclllllllllllllllllllllllllllllllllllllllllllllllllllcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccoxO
	::;;;;:::::::;;:::::::;;;;;:::::::::::::::;,''''''',;cdkkkkkkkkkkkkkkkkkkkkkkkkkxoc,........................................................................',,,,,,,,,,,,,,,,,,,,'''''''',,,,,,,,,,,,,,,,,,,,'...            ..''''............'',,;;;;,,,,,,,,,,,,'..',,,,,,,'...'',,,,,,,''''''''''''''''',,;;;;;;;,,,;;;;;;;,,,,;;;;;;,,,,,;;;;;;;;;;,,,,;;;;;;;;,,',,;;::cclllllllllllllllllllllllllllllllllllllllllllllllllllccccccccccllccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccclxO
	::;;;;:::::::;;:::::::;;;;;::::::::::::::;,'''''''',;cdkkkkkkkkkkkkkkkkkkkkkkkxdl:,.......................................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;,,,,,,,,,,,,,,..          .....................',,;;;;;,,,,,,,,,'..',,,,,'''...',,,,,,,,,''''''''''''''''',,;;;;;;;,,,;;;;;;;,,,,;;;;;;;,,,,,;;;;;;;;;,,,,;;;;;;;;,,',;;;;:cclllllllllllllllllllllllllllllllllllllllllllllllllllcccccccccclllcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccclxO
	::;;;;:::::::;;:::::::;;;;;::::::::::::::;,'''''''',;cdkkkkkkkkkkkkkkkkkkkkkxdl:,........................................................................',,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,'..       .......''''',,,,,,'''...',,;;;;,,,,,,;,'..'',,,,''...',,,,,,,,,,,''''''''''''''''',,;;;;;;;,,,;;;;;;;,,,,;;;;;;;,,,,,;;;;;;;;;,,,,;;;;;;;;,,',,;;;:cclllllllllllllllllllllllllllllllllllllllllllllllllllccccccccccllllccccccccccccccccccccccccccccccccccccccccccccc:::cccccccccccccccccoxO
	::;;;;:::::::;;:::::::;;;;;::::::::::::::;,'''''''',;cdkkkkkkkkkkkkkkkkkxddol:,.........................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'....      ...'',,,,,;;;;;;;;;;;,,,'.'',,;;;;;,,,,,'...',,,''....',,,,,,,,,,,,''''''''''''''''',,;;;;;;;,,,;;;;;;;,,,,;;;;;;;,,,,,;;;;;;;;;,,,,;;;;;;;,,'',,;;;:cclllllllllllllllllllllllllllllllllllllllllllllllllllccccccccccllllccclcccccccccccccccccccccccccccccccccccccccc:;;;:ccccccccccccccccoxO
	::;;;;:::::::;;;:::::::;;;;::::::::::::::;,'''''''',;coxkkkkkkkkkkkxxxdol:;,'.........................................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..          .',,;;;,,;;,,,,,,,,,,,,,,,''',;;;;;;;;,'....',,''...'',,,,,,,,,,,,,''''''''''''''''',,;;;;;;;,,,,;;;;;;,,,,;;;;;;;,,,,,;;;;;;;;,,,,,;;;;;;;;,'',,;;;:cclllllllllllllllllllllllllllllllllllllllllllllllllllcccccccccclllcccccccccccccccccccccccccccccccccccccccccccc:;,,;:cccccccccccccccclxO
	::;;;;:::::::;;;::::::::;,;:::::::::::::::;,''''''',,;cloddddddddddlc:::,'...........................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..            .',;;;;,,,,,,,,,,,,,,,,,;,,,,,,,,;;;,,,'...',,''''',,,,,,,,,,,,,,,,''''''''''''''''',;;;;;;;;,,,,;;;;;;;;;;;;;;;;;,,,,;;;;;;;;;,,,,,;;;;;;;;,,',;;;;:ccllllllcccccccccccccclllllllllllllllllllllllllllccccccccccccllccccccccccccccccccccccccccccccccccccccccccccccc:,,,;:cccccccccccccccclxO
	::;;;;:::::::;,;::::::::;,;:::::::::::::::;''''''''''',;,,,,,,,,;;,''',,'...........................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'....              ..,;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,'..'''''''',;;;,,,,,,,,,,,,,,,,'''''''''''''''',;;;;;;;;;,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,;;;;;;;;,,,,,;;;;:ccllllllcccccccccccccccclllllllllllllllllllllllllccccccccccccllccccccccccccccccccccccccccccccccccccccccccccccc;,',;:ccccccccccccccc:lxO
	::;;;;:::::::;,;::::::::;,;:::::::::::::;;'...........''.........''''',,''........................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,...                   .,;;;;,,,,,,,,,,,,,,,,,,,,;,,,,,,,,'...''''.',;:::;;;;;;;;;;;;;;;;,,;;;;,,,,,,,,,,,;;::::::;;;;;:::::::;::;;;;;;;;;;;:;;;;;;;;;;;;;;;:::;;,,,,,;;;;:ccllllllcccccccccccccccclllllllllllllllllllllllllccccccccccccllccccccccccccccccccccccccccccccccccccccccccccccc;,,,;:ccccccccccccccc:lxO
	::;;;;:::::::;,;::::::::;,;:::::::::;;,''..........'''''''......''',,,,,,'......................................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..                    ..,;;,,,,,,,,,,,,,,,,,,,,,,,,,;;,,''....''.'';:ccc:::::::::::::::c::::ccc:::::::::::::::::::::::::::::::::::::::::::::::::::::::cc:::::::::;,,,;;;;;:ccllllllcccccccccccccccccccccccccccllllllllcllllcccccccccccclllccccccccccccccccccccccccccccccccccccccccccccccc::;::cccccccccccccccc:lxO
	::;;;;:::::::;;;:::::::;;;;:::::;,'''..........'''''''''''.....',,,,,,,,,'.....................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,..                      .',,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,'''......',:ccccccccccccc:ccccccccccccccccccccccccccccccc::::ccccccccccccccc::::ccccccc::::ccccccc::ccccc:;,,,,;;;;:ccllllllccccccccccccccccccccccccccclllllllccclllcccccccccccccllcccccccccllccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:lxO
	::;;;;:::::::;;;::::::;;;,,,,,'''.........'''''''''''''''.....''',,,,,,,,'....................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'.                      ..',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''.....',;:cllccccccccccc:ccccccccccccccc:ccccccccccccccc:::::cccccccccccccc:;;:ccccccc:;;:clcccc:::ccclcc;,,,,;;;;:ccccccccccccccccccccccccccccccccccclllllllcccllllcccccccccccccccccccccccllccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:lxO
	::;;;;::::::;,,;:::::;;,''...........'''''''''''''''''''......',,,,,,,,,,'..................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..                      .',,,,,,,,,,,,,,,,,,,,,,,,,,,,,'.......',;:cccccccccccccccccccccccccccccccc:ccccccccccccccc:::::cccccccccccccc:;;:ccccccc:;;:cccccc:::ccclc:;,,,,;;;;::ccccccclllccccccccccccccccccccccccclllllllcllllllccccccccccccccccccccccclcccccccccccccccccccccccccccccccccccccccccccccccccccccccc::lxO
	::;;;;:::::;;,,;:::;;,'........'''''''''''''''''''''''''.....',,,,,,,,,,,'................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..                     ..,;;,,,,,,,,,,,,,,,,,,,;;,,,,'.....'',,;:ccccccccccccccccccccccccccccclllcccccccccccccccccc:::::ccccccccccccc:;;;:ccccccc:;;:cccccc:::ccccc:;;,,,,,,;:cccccccccllllllllllllllccccccccccccclllllllllllllllllcccllccccccccccccccccclllcccclcccccccccc::::cccccccccccccccccccccccccccc:::::::lxO
	::;;;;:::::;;,',;;,''......'''''''''''''''''''''''''''''.....',,,,,,,,,,,'..............................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..                   ...',;,,,,,,,,,,,,,,,,,,,,,,,,'...'',;::c:::ccccclcccccccccccccccccccccccccccc:ccccccccccccccc:::::ccccccccccccc:;,;:ccccccc:;;:ccccc:;;::ccccc;;,,,,,,;;:cccccccccllllllllllllcccccccccccccclllllllllllllllllcccclccccccccccccccccclllcccccccccccccc;,,,;:ccccccccccccccccccccccccccc:::::::lxO
	::;;;;:::::;,'...........'''''''''''''''''''''''''''''''.....',,,,,,,,,,,,''..........................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,..                 ...',,,,,,,,,,,,,,,,,,,,,,,,''....';::cccccccccccclccccccccccccc::cccccccccccccc:ccccccccccccccc:::::ccccccccccccc:;,;:ccccccc:;;:cccc::;;::cccc:;;,,,,,,;;;:ccccccccllllllllllllcccccccccccccclllllllllllcccccccccccccccccccccccccccccccccccccccccccc:;,',;:ccccccccccccccccccccccccccc:::::::lxO
	::;;;;;:;;,'.......'''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,'.......................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..             ...',,;;,,,,,,,,,,,,,,,,''''''....',;cclllllcc:ccccllccccccccccccc:ccccccccccccccc:ccccccccccccccc:::::ccccccccccccc:;,;:ccccccc:;;:cccc::;;::cccc:;;,,,,,,,,;:ccccccccclllllllllllcccccccccccccllllllllllllccccccccccccccccccccccccccccccccccccccccccccc;,',;:ccccccccccccccccccccccccccc:::::::lxO
	::;;;;,''......'''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,'....................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'...       .....',,,;,,,,,,,,,,,,,,,,,,,,,,''..';::cclllllcc:::cccccccccccccccc:::ccccccccccccccc:ccccccccccccccc:::::ccccccccccccc:;,;ccccccc::;;:cccc::;;::cccc:;;,,,,,,,,;:cccccccccllllllllllllccccccccccccclllllllllllccccccccccccccccccccccccc:ccccccccccccccccccc;,'',:ccccccccccccccccccccccccccc:::::::lxO
	;,,''.......''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,,'.................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'.......'',,,,;,,,,,,,,,,,,,,,,,,;,,,,,''',;:ccccclccccc::;::cccccccccccccc::::ccccccccccccccc:ccccccccccccccc:::::ccccccccccccc:;,;:ccccccc:;;:cccc::;;::cccc:;;,,,,,,,,;:ccccccccclllllllllllcccccccccccccccccccccccccccccccccccccccccccccccccc::cccccccccccccccccc;,',;:cccccccccccccccccccccccccccccccc::lxO
	'........'''''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,,,'..............................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,,,,,,,,,,,,,;;;,,,''',;:ccccccccccccc:;;::cccccccccccccc::::cclllcccccccccc:ccccccccccccccc:::::ccccccccccccc:;,;:ccccccc:;;:cc::::;;::ccc::;;,,,,,,,,;:ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:cccccccccccccccccc:;;;:ccccccccccccccccccccccccccccccccc::lxO
	.....'''''''''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,,,,,'.........................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,;:ccccccccccccccc:;;::ccccccccccccccc:::ccllllccccccccc:ccccccccccccccc::::cccccccccccccc:;,;:ccccccc:;;:cc::::;;::ccc::;,,,,,,,,,;:ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:cccccccccccccccccccccccccccccccccccccccccccccccccccccccc::lxO
	.'''''''''''''''''''''''''''''''''''''''''''''''''''''''.....'',,,,,,,,,,,,,,,,,,'....................................'',,,,,,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;::::ccccccccccccccc:;;::ccccccccccccccc:::cclllllcccccccccccccccccccccccc::::cccccccccccccc:;;;:ccccccc:;;:cc::::;;::ccc::;,,,,,,,,,;:ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:cccccccccccccccccccccccccccccccccccccccccccccccccccccccc::lxO
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,'................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,'',,,;::::::ccccccccccccccc:;;::ccccccccccccccc:::ccllllccccccccccccccccccccccccc:;;:cccccccccccccc:;;;:cccccc::;;:cc::::;;::ccc::;,,,,,,,,,;:ccccccccclllllllllllccccccccccccccccccccccccccccccccccccccccccccccccccc:cccccccccccccccccccccccccccccccccccccccccccccccccccccccc::lxO
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....',,,,,,,,,,,,,,,,,,,,''...........................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,''',;::::cc:::ccccccccccccccc:;;::ccccccccccccccc::ccccllcccccccccc:ccccccccccccccc:;;;:ccccccccccccc:;;;:cccccc::;;:cc::::;;::ccc::;,,,,,,,,,;:cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc::ccccccccccccccccccccc:cccccccccccccccccccccccccccccccccc::lxO
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,,,,'......................''',,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,''...'',;;::ccc:::ccccccccccccccc:;;::ccccccccccccccc:ccccccccccccccccc:ccccccccccccccc:;;;:ccccccccccccc:;;;:cccccc::;;:cc::::;;;:ccc:;;,,,,,,,,,;:ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:;,;::cccccccccccccccccccccccccccccc:::lxO
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,;;;,,'...............'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.....'',,,;;:::::::cccccccccccccc:;;::ccccccccccccccccccccccccccccccccc::cccccccccccccc:;;;:ccccccccccccc:;;;:cccccc::;;:cccc::,,;:cc:;;,,,,,,,,,,;::ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:;,'',:cccccccccccccccccccccccccccccc:::lxO
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,,,,,,'''....''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,''...''''''',,,,,,;;;;:::cccccccccccccc:;;::ccccccccccccccccccccccccccccccccc:::ccccccccccccc:;;:cccccccccccccc:;;;:cccccc::;;:ccccc:;,;:cc:;,,,,,,,,,,,;;:::::::::cccccccc::::ccccccccccccccc:::c::::::::ccccccccccccccccccccccccccccccccccccccccc::;,'',;:cccccc:::::cccccccc::ccccccc::::lxO
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,'''''''''',,,,,,,,,,,,,;;;:::cccccccccccccc:;;::ccccccccccccccc:ccccccccccccccccc:::ccccccccccccc:;;:cccccccccccccc:;;;:cccccc:::::ccccc:;;:ccc::;;,,,,,,,,,;;::;;;:;;;:cc::::::;;;::ccccccccccc::;;;;;;;;;;;;;::cccccccccccccccccccccccccccccccccc:::c::;,',;:ccccccc::::::::::::::::cccc::cc::lxO
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,''...''',,,,,,,,,,,,,,,,,,;:::::cccccccccccccc:;;::ccccccccccccccc::cccccccccccccccc:::ccccccccccccc:;;:cccccccccccccc:;;;:ccccc:::::cccccc:;;:cccc::;,,,,,,,,,;:::::::::::c::;;:::;,,;;::ccccccccc:;,,,,,,;;;,,,,,;:cccccccccccccccccccccccccccccccc:::ccc:;,',;:ccccccc::::::::::::::::::::::ccc:lxO
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,'''''''',,,,,,,,,,,,,,,,,,,,;;::::cccccccccccccc:;;::ccccccccccccccc:::ccccccccccccccc:::ccccccccccccc:;;:ccccccccccccc::;;;:ccccc:;;::cccccc:;;:cccc::;,,,;,,,,,;::c::::::::c:::::::;,,,,,;::::ccccc:;,,,,,;;::;,,,,,;;:cccccccccccccccccccccccccccccc::::cc:;;,;::::ccc:::::::::::::::::::::::::cc:lxO
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,;;,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;:ccccccccccccccc:;;::ccccccccccccccc::cccccccccccccccc:::ccccccccccccc:;;:cccccccccccc:;;,;;:ccccc:;;:ccccccc:;;:cccc::;,,,;,,,,;;::::cc:;;;:::::::c:;;,,,,,,;;;;::ccc:;,;;;;:::;,,,,,,,;;:::::::::cccccccccccccccccccc:::::::::;::::::::::::::::::::::::::::::::::::lxO
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''',,;:::::;,,,,,,,,,,,,,,,,,,,,,,,,,;;;;:ccccccccccccccc:;;::ccccccccccccccc:ccccccccccccccccc:::ccccccccccccc:;;:ccccccccccccc:;;;;:ccccc:;;:ccccccc:;;:cccc::;;;;;,,,;::c::::c:;;;::::;;:cc::;;;;;,;;;;;:ccc:;,;::::::;;,,;,,,,;;;;;;;:::::c::ccccccccccccccc::::::::::::::::::::::::::::::::::::::::::::::lxO
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''',,,;;;:::ccc::;,,,,,,,,,,,,,,,,,,,,,,,,,;;;;::cccccccccccccc:;;::ccccccccccccccc:cccccccccccccccc::::ccccccccccccc:;;:ccccccccccccc::;;;:ccccc:;;::cccccc:;;:cccc::;;:::;;;;:cc::::::;;;::::;;:cc::::::;;;::;;::c:;;,,;:::::::;;:::;;:::::::c:::::::ccccccccccccccc::::::::::::::::::::::::::::::::::::::::::::::lxO
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.''''',,;::ccccccccccc::;,,,,,,,,,,,,,,,,,,,,,,,,,;;;;:::ccccccccccccc:;;::ccccccccccccccc::cccccccccccccc::;::ccccccccccccc:;;:ccccccccccccc:;;;;:ccccc:;;::cccccc:;;:cccc::::cc:;;;::cc::::::;;;::::;;:c:;;:ccc:;;::;;:cc::;,,;;::::::;;:::;;:::;::cccc::::cccccccccccccccc::::::::::::::::::::::::::::::::::::::::::::::lxO
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''',;;;:::ccccllcccccccc::;,,,,,,,,,,,,,,,,,,,,,,,,,;;;;::::ccccccccccc::;;::cccccccccc:ccc::ccccccccccccccc:;;;:ccccccccccccc:;;:cccccccccccc:;;,;;:ccccc:;;::cccccc:;;:ccc:;;::cc:;;::cc:;::cc:;;;:::::::c:;;::c:;;;::;;:ccc:;,,;;;::c::;;:::;;::;;;:ccc::::::cccccccccccccc:::::::::::::::::::::::::::::::::::::::::::::::lxO
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''',;;;:::ccccccccccccccccccc::;,,,,,,,,,,,,,,,,,,,,,,,,,,,,;:::::c::::::c::::;;::ccccccccc::cc:::::ccccccccccccc:;;;:ccccccccccccc:;;:cccccccccccc:;;,;;:ccccc:;;:ccccccc:;;:ccc:;;::cc:;;:cc::;;::c:;;;:::::ccc:;;::::;;;::;;::c::;,,;;:::::;;::::;;::;;;:ccc::::::ccccccccccccc::::::::::::::::::::::::::::::::::::::::::::::::lxO
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......''',,,,,,,,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''.''''',,;;;:::ccccccc::::::ccccccccccc::;,,,,,,,,,,,,,,,,,,,,,,,,,,,,;:::::::::::::::::;;::cccccccc:::cc:;;::ccccccccccccc:;;;:ccccccccccccc:;;:cccccccccccc:;;,;;:ccccc:;;:ccccccc:;;:ccc:;;::c::;;:cc::;;::::;;;::::::cc:;;::::;;;::;;:::::;,,;;::::;;::::;;;::;;;:ccc::::::ccccccccccccc::::::::::::::::cc::::::::::::::::::::::::::::::lxO
	''''''''''....'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''.......''',,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''',,;;;:::ccc::::cc::::::::ccccccccccccc::;,,,,,,,,,,,,,,,,,,,,,,,,,,,,;:::::::::::::::::;;::::ccccc:::::::;;::ccccc:::::cc::;;;:cccccccccccc::;;:cccccccccccc:;;,;;:ccccc:;;:ccccccc:;;:ccc:;;::::;;;:cc::;;::::;;;:c:::::c:;;::::;;;::;;:::::;,,,;:c::;;::::;;;::;;;:cc:;;;::c:::::::::cccc:::::::::::::ccccccc::::::::::::::::::cc::::::::lxO
	''''...''......'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''........''',,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''...',,;;:::::ccccccc::cccc:::::::ccccccccccccc::;,,,,,,,,,,,,,,,,,,,,,,,,,,,,;:::::::::::::::::;;::::::::::::::::;;::cccc:::::cccc:;;;:ccccccccccccc:;;:cccccccccccc:;;,;;:ccccc:;;:ccccccc:;;:cc::;;::::;;;:cc::;;::::;;;:c::;;:::;;::::;;;::;;:::::;,,,;:cc:;;::::;;;::;;;::::;;:::::;;,;::::cccc:::::::::::::ccccccccc:::::::::::cc:::cc::::::::lxO
	`,
	`0000000OOOOOO00000000OO00000000000000000OOOOOOOOO00000OO0000000000000000000000000000000000O00000O000OO0000OO0000OOOOOOOOO0OO000000000000000OOO000000000000000000000000000OO000000OOO0OOOO00000O0000000000OOOOO000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000OOOO000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000OOkxdxO0
	ddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxddxxxxxddddddddddxxxddddxxxxddddxddxxxxxxxxxxxxxxxddddxxxxxxxxxxdddddddddddddddddddddddddddddddddxxxxxxxxxxxxdddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxddoc:;;cxO
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	dddddddoodddddddddddddddddddddddddddddooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxdddddddddddddddddddxxxxxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddddddddol:;,,:ldO0
	dddddddoodddddddddddddddddddddoddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxddddxddddddddddddddddddxxxxxxxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddxxxdddddddddddddddddddddddddoocc:::cloxO0
	dddddddooddddddddddddddddddddddddddoooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxdddddddddddxxxxxxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddddddddolccccccclodxO0
	ddddddddodddddddddddddddodddddddddddooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxdddddddddddddddddddxxxddddddddol:;:clc:coddxO0
	ddddooooooodddddddddddooodddddddddddooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxxxxddxxxddxxxxdddxxxddddddddddxxxxdddolc:;::llcclooooxO
	oooooooooooooooddddddddooddddddddddoooooooooooodddddoddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxddddddddddddddddddddxxxxxxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxddxxxxddddddxddddxxddddxxxddddddddddddddddoc:;;:clccclllc;:ok
	oooooooooooooooodddddddddddddddddddoooooooooooodddoooddodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddxxxxxxxddddddddxddxdddolc:;;:cll:;:cc:;;:dO
	ooooooooooooooodddddddoodddddddddddoooddoooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddxxxxdddddddxxxxdddddol:;;::cccc;;;::::cok0
	oooooooddoooddddddddddddddddddddddddooddoooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddxddddddddxxxddddddddxxdddddddddddddddolc::::cccc::ccccccloxO0
	oooooooddoooddddddddddddddddodddddddoooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddxddddddddxxxddddddddddddddddddddddddoc:;::::;:::::lllccoodxO0
	ooooooooooooddddddddddddddddodddddooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxdddddddddddddddddddddddddddddddolc:;;;::;;:ccccllllodddxO0
	oooooooooooooddddoddddddddddodddoooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxdddooooooooooooooooooooooooooooooooooooooooooooooooooollllodddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddolcc:::;:::ccllccclodddddxO0
	ooooooddddooooodddddddddddddodddoddddooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxdddddddxxxxxxxddddxxxxxxxxxxxxxddolccccccc::::ccccccccc::::::ccccc:::cccccc::::::c:ccc::;;;:cloddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddoc::::cccccllcc:;:coddddddxO0
	ooooooddddooooddddddddddoooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxddddxxxxxxxxxxxddoc:;;;;;;;,,,;;;;;;;;;;;,,;;;;;;;;;,,;;;;;;;,,,;;;;;;;;,,,,,,;:cooddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddlc:;:::cllccllc;;:lodddddddxO0
	oddddoooooooddddddddddddoooooooooooooooddddddddddddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxdddxxxxxxxxddoc:;;;;;;,,,,,,;;;;;;;;;,,,,,;;;;;;,,,,,;;;;,,,,,,;;;;;;,,,,''',,;:coddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddol::;;:cloollccc::clodddddxddxO0
	dddddddoddddddddddddddoooooooooooooooooodddddddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxdxxxxdddddxxxxdddddddolc::;;;;;;,,,,,,;;;;;;;;;,,,,;;;;;;;,,,,,;;;;,,,,,,;;;;;;;;,,'''''',;:cloddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddoc::cc:cloolccc::clodddddddxddxO0
	ddddddddddddddddddddddooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxdddddxddddxxxxxddolcccc::;;;;;;;;;,,,,,;;;;;;;;;;,,,,;;;;;;;,,,,,;;;;,,,,,,;;;;;;;;;;,,,,,,,,,;;:cloddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddlcccllllllol::;:cloddddddddddddxO0
	ddddddddddddddddddddddddooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxdddddddddddddxxddolc:;;;;;;;;;;;;;;;,,,,,;;;;;;;;;,,,,,;;;;;;;,,,,;;;;;,,,,,,;;;;;;;;;;;;;;;;;;,,,,;;:cloddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxxxxddddxddxxdolllooocclllc;,,:coodddddddddddddxO0
	ddddddddddddddddddddddddooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddol:;;;;;;;,,;;;;;;;;,,,,,;;;;;;;;;,,,,;;;;;;;;,,,,;;;;;,,,,,,;;;;;;;;;;;;;;;;;;;;,,,,,,;:clodddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddxdddddddddddolcloddl::clc;,,;codddddddddddddddxO0
	ddddddddddddddddddddddddooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddolc:;;;;;;;,,,,,;;;;;;,,,,,;;;;;;;;;,,,,;;;;;;;;,,,;;;;;;;,,,,;;;;;;;;;;;,,,;;;;;;;;,,,',,,;;:cloddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddxddddddddolcclooolcccllc;;cloddddddddddddddddxO0
	ddddddddddddddddddddddddooooooooooooodddoddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxddddddddddddddddddddddddddddddddddddddddddddxddddooooolc::;,,,,;;;;,,,,,,;;;;;,,,,,;;;;;;;;;,,,,;;;;;;;;,,,;;;;;;;,,,,;;;;;;;;;;;,,,;;;;;;;;,,,,,,,,,,,;:clooddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddolccloolc:clollccloddddddddddddddddddxO0
	dddddddddddddddddddooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxdddddddddddddddddddddddddddddddddddddddddddddddoolccccc:;;,,,,,,,;;;;;,,,,,;;;;;,,,,,;;;;;;;;;,,,,;;;;;;;;,,,;;;;;;;,,,,,;;;;;;;;;;,,,;;;;;;;;;,,,,,,,,,,',,,;cloddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddolcclllllc::clccloddddddddddddddddddddxO0
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	ddddddddoddddoooooooooodddddddddddddddodddddddddddddddddddddddddddddddddddddddddddooollllccc:::cccc:::cccc::::ccclllcc::cccccccc::::ccc::::::::::cc:::::::::;;;;;:cc::::::clllllllool:,'...''''''''''''',,,,,,,,,'',,,,'..',,,,'''',,,'.    ...',,,,'...''''',,,,,,,'',,,;;;;;;;;;,,,''',;;;,,,,'..',;,,'.'',;;,,,,,;;;,,,,,''''''''''''''''''''''''''''''',codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc;'',,,,,,,,,''''''',,;;;,,,,,;,,,,,,,,,,:lodddxxxxxxxxxxxxxxxxddddddddddddddddxO0
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	ddddddddddooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooolc:;,'''''..'''..........................''''....''',,;;,,''',,;,,;,'.    .'cxOOxo:,.          ..''',,,,,;;;;,'.'',,;;,,,'',,;;;,,''',''..',,,,,,;;;,,,'''''''''''''''''''''''''''''''',;coddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc;''',,,,,;,,,,,,,''..............';codxxxxxxxxxxxxxxxxxxxxxxxddddddddddxdddddddxk0
	ddddddddddoddoodddoooddooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooodddddddddddddddddddddddddddddddddddddddddoolc:;;,'''.''''....'...................................'',;;;,,''',,;,,;,'..    .'oOKK0Oxo:'...       ...'',,,;,,,'..',,;;;,,'',,,;;,''''''....',,,,,,;;;;,,'''''''''''''''''''''''''''''''',;coddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdl:,''''''',,,;;;;;,,''.''..........,:odxxxxxxxxxxxxxxxxxxxxxxxxddddddddddxxddddddxk0
	ddddddddddoddoodddooodddooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooddddddddddddddddddddddddddddddddddoolllc::;;,,''''',,,''.....''...................................,,;;;,,''',,,,,,,''..    .;dk0KK00Oxdo:'.        ..'',,,,''..',;;;,,'',,,,'''......   .',,,,,,;;;;;,,''''''''''''''''''''''''''''''',;coddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc;,'''''''',,,,,,,,,''''''.........,coxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddxxddddddxO0
	ddddddddddoddoodddooodddoooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoolc:;;,,'..'',,'''',,'''.....'......'''''...............''.......',,;,,,'''',',,,,,,''..    .'cx0KKKKKK0Odc,.       ..'',,,,'''',,,,''''''.....         .',,,,,,;;;;,,,''''''''''''''''''''''''''''''',;coddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:;,,,'''',,,,,,,,,,,'..............':ldxxxxxxddddddddddddddodddddddddooooddddddddxO0
	ddddddddddoddoodddooodddoooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddolc:;,'..'''..'','''''''....''''..'''''''''''''.............''......',,,,,'..'',,,;,,;;;;,..     .:dO0KKKKKK0Oxc'      ..',,,,;,,,''.........              .',,,,,,;;;;,,,,'''''''''''''''''''''''''''''',;coddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:;,,,,'.'',,,,,,,,,,,,''.............,codxxxxddollllllllllccccllllllllccccllllllllokO
	dddddddddoodddddddoooddddooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooolc;,'.....''''...'....''''..''''',,;;,''''''''''''''.........''''....'''',,,'''',,,,;;;;;;,'..     .,cdk00KKKKK0kl'.    ..',,,;;;,,'..           ......    ..,,,,,,,;;;,,,,,'''''''''''''''''''''''''''''',;coddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:,,,,,',,,,,,,,,,,,,,,,,'........ ....':lodxdddoc::::::::::;;;;:::::::;;;;;;:::::::cdk
	ddddddddooooddddddoooddddooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddolc:;;,'''......'''''........'''''''',;clc;'''''''''''''''''''''''.........',,,,,,,,'',,,;;;;;;;,'..      ..:oxkO000KOd:'     .',;;;;,,'.       ..',;:loddl;.   .',;;,,,,;;;,,,,,''''''''''''''''''''''''''''''';lodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:,'',,'',,,;;;;,,,,,,,'',,,'...... .....';coddddlc:;:;;;::;;;;;;;;;;;;;;;;,;;;:;;;;;:ox
	ddddddddooooddddddoooddddoodddddddddddddddddddddddddddddddddddoddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoolcc:;''.'',,''...............''''''',,;:lllc;''''''''''''''''''',,,,,''.....',,;;;;;;,,,',,;;;;;;;,,'...       .',;coxkxo:.    ..',;;;,'..     .':odkkOO00Okl,.  ..',;;,,,,;;;;;,,,''''''''''''''''''''''''''''''';ldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddl:,,''''',,;;;;;;;;;;,,,,,,;;,,'...........',:ldddlc:;;;;;;;;;;,;;;;;;;;;;;,,,;;;;;;;;:ox
	oooooooodddoddddddoooddddoodddddddddddddddddddddddddddddddddddooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoolc:;,''''...''''...............',,,''',;clooolc;'.'''''''''''''''',,,,,,,,'....',,,,,,;;;,,'',,,;;,,,'''''...         ...''..     ..',,,,'.     .;lxO0KKKKK0Od:'.  ..',;;;,,,,;;;;;;,,'''''''''''''''''''''''''''''',;ldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:,,,,'..',,;;;;;;;;;,,',,,;;;;;,'..........',;clool:;;;;;;;:;;;,;;;;;;;;;;;;,,,;;;;;;;:ox
	oooooooodddodddoooddddddddddddddddddddddddddddooododddddddddddooooddddddddddddddddddddddddddddddddddddddddddddddddodddddddddddddddolc:;,''''''''.............'''....''''''',:lodddolc;'''''''''''''''''',,,,,,,,''...',;,,,,,;;,,''',,,,'''',,,,,,'...                  ...',,'..   .,ok0KKKKK00kd:'.   ..',;;;;,,,,;;;;;;,,'''''''','''''''''',,''''''''',;ldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddl:;,,,,''.'',,;;;;;;;;,,',,;;;;;;,'..........',;;:clc::;;;;;;::;;,,;;;;;;;;;;;,,;;;;;;;;:ox
	oooooooooooooooooodddoooooddddddddddddddddddddooooooddddddddooooooooddddddddddddddddddddddddddddddddddddddddddddddodddddddddddddolc;,''''''''''.............''''...'''''.',:ldddddolc;'''''''''''''''''',,,,,,,,'....',,,,,,,,;,,,'''''',,,,;;;;;;,,'.....       .........''''..    'cx0000Okdoc;..     ..,;;;;,,,,,;;;;;;,,'''''''','''''''''','''''''''',:ldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:;,,;;,,,,,,,,,,,,,,,,,''',,,,,;;,'..........';;,,,;::::;;;;;::;;,;;;;;;;;;;;,,,,;;;:;;;:ox
	oooooooooooooooddoooooooooddddddddddddddddddddooooooodddddddoooddddooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddol:,'.'',,'''''.....''......'.......''''',;coodddddolc;'''''''''''''''''',,,,,,,,'....',,,,,,,,,,,'....',,;;;;;;;;;;;,,,''.....''''''''..',,,,'..    .';cllc:,..       ...',;;;;,,,,,;;;;;;,,'''''''','''''''''','''''''''',:ldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddoc:;,;;,,,,;;;;;,,,,,,,,,''',,,,,,;;,'.......''',::;'',,;;;;;;;;:;;;,;;;;;;;;;;;,,,,;;;::;;:ox
	ddddddoooooooooddoodddooodddddddddddddddddddddoooddooodddddooooddddddooddddddddddddddddddddddddddddddddddddddddddddddddddddddolc;,'...'''''''...'''''....'''.....'''''';:lodddddddolc;'''''''''''''''''',,;;;,,,'.....'',,,,,,,,'''''',,,,,,;;;;;;;;,,,''''',,,;;;;,,''',;;;;,,......  ....        .....',;;;;;,,,,;;;;;;,,,'''''''',''''''''''''''''''''',:ldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc:;,,,;,,',,;;;;;;;;;;;,,,,,,;;;;;;;,,''.....''',;;;,''',,;;::::;;;,,,;;;;;;;;;;,,,,;;;::;;:ox
	ddddddddddooooodddddooooooddddddddddddddddddoooooddooooooooooooooddddoooodddddddddddddddddddddddddddddddddddddddddoddoooodddol:,''''''''''''...''''.....''''...''''''',:lddddddddddlc;'''''''''''''''''',,;;;,,,.......',,,,,,''',,,,,,,'',,,,;;;;,,,'''',,,;;;;;;;,'',,,;;;;,,''','.....      ....',''',;;;;;;,,,,,;;;;;,,,'''''''''''''''''''''''''''''',:ldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc;,,,,,,,',,,;;;;;;;;;;;,,,,,;;;;;;;;;,,,,,'..'''''';;;,'.',;::::;;;,,,;;;;;;;;;;,,,,;;;::;;:ox
	ddddddddddooooooodddooooooodddddddddddddddddoooooooooooooooooooooooooooooooooddooooddddddddddddddoooooooooooooooooooolllloolc;,''''''''''''....''.......''....''''''';cooddddxdddddlc;'''''''''''''''''',,,;,,,,.....''',,,,,',,,,;;;;,,,,'',,,;;,,'''',,;;;;;;;;,,,'',;;;;;;,,'',,,,,,''....'''',,,,,'',;;;;;,,,,,,;;;;,,,,''''''''''''''''''''''''''''',;:odxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddoc:;,,;;,,,,,,;;;;;;;;;,;;,,',;;;;;;;;;;,,,,,,'...''.';::;'..,;::;;;;,,,,;;;;;;;;;;,,,,;;;:;;;:ox
	ddddddddddooooooooooooooooooddddddddddddddddodddooooooooooooooooooooooooooooooooododdddddddddddoollccccccccccccccccccc::c:;,'..'''''''''.....'''''....'''.....'''''',codddddddxddddlc;'''''''''''''''''',,,,,,,,'...''''''',,,,,;;;;;;;;;;,,'',,''''',,,,;;;;;;;,,'',,,;;;;;;,,'',,;;;;;,,''',,;;;;;,,'',;;;;;,,',,,;;;;,,,'''''''''''''''''''''''''''''',;codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdl:;;,,;;;,,,,;;;;;;;;;;;,;;,'',;;;;;;;;;;,,,,,,,'....'';;;;'..',;;;;;;,,,,;;;;;;;;;;,,,,;;;;;;;:ox
	ddddddddddooooooooooooodddddddddddddddddddddodddooooooooooooooooooooooooooooooooododddddddddddollcccc:::::cccccccc:::::::;,....''''','''...''''''.....'''.....'''..';loddddddddddddlc;'''''''''''''''''',,,,,,,,'....'''..',,;;;;;;;;;;;;;;;,,''..'',,;;;;;;;;;;,,',,,;;;;;;;,,'',,;;;;;;,,'',,,;;;,,,'',;;;;;,,,,,,;;;;,,''''''''''''''''''''',''''''''',;codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddl:,,,;;;;,,,,;;;;;;;;;;;;;;;,'',;;;;;;;;;;,,,,,,,'....';;;,,'..',;;;;;;;,,,;;;;;;;;;;,,,,;;;;;;;:ox
	ddddddddddooooooddoooooooddddooooddddddddoooodddooooooodddooodddooooooooooooooooddooddddddddddolccccc:;;::cccccccc:::::;;,'.'',,,'',,,''..''',,,'...''''''...''''..';coddddddxxddddlc;'''''''''''''''''',,,,,,,,''...''...',,;;;;;;;;;;;;;;,,,'''''',,,,,,;;;;;;,,',,;;;;;;;;,,'',,;;;;;;,,''',,;;,,'''',,,;;;;,,,,,;;;;,,'''''''''','''''''''',''''''''',;codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdl:;,',;;,,,,,;;;;;;;;;;;;;;;;,'',;;;;;;;;;;,,,,,,;,'...',,,,,,''',;;;;;;;,,,;;;;;;;;;;,,,,;;;::;;:ox
	ddddodddddoooooooooooooddddddoooooooodddddoooooodddddoodddooodddooooooooooooooodddooddddddddddolccccc:;;::ccc::cc:::::;,'...'',,,',,''....'',,,,'..''',,,'...''''..',:coddddddddddoc:,'''..''''''''''''',,,,,,,,''...''''''',,,;;;;;;;;;;;,,'',,,,,,,,,,,,,,,;,,,'',,;;;;;;;;,,'',;;;;;;;,,,'',,;;,''...''',,,,,'',,;;;;,,''''''''''''''''''''',''''''''',;codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc,,,,,;;,,',,;;;;;;;;;;;;;;,,,,,,;;;;;;;;;;,,,,,;;;,....',;;;,,,'',;;;;;;,,,;;;;;;;;;;,,,,;;;;;;;:ox
	ddooooddooooodddooooooodddddddooooooodddddoooooodddddoooodddddoooooooooooooooooddddoodddoodddoolccccc:;;::ccccccc::::;,'....'','',,'''..''',,,,'....'''''...''''...',,;coddoolccc:;,,''.......''''''''',,,,,,,,'''....',,,,''',,,,;;;;;;,,,,,,,;;;;;,,,,,''',,,''',,;;;;;;;;,,,'',;;;;;;;;,,''',,,''....''''''''...',,,,,,,'''''''''''''''''''''''''''''',;codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc;'',,;;,,,,,,;;;;;;;;;;;;;;,,,,,,;;;;;;;;;;,,,,,;:;,'....,::;,,''',;::;;;,,,;;;;;;;;;;,,,,;;;;;;;:ox
	ddddddooooooodddooooooodddoooooooddoodddddoooooodddddoooodddddoooooooooooooooooddddddddddddddoolccccc:;;:cccccccc::::;'...'',,,,,,,,,''',,,;;,,''..',,''...',,,''..',,,:oooc:,,''...''''.......'''''''',,,,,,,,'''....',,;;,,,',,,,;;;;,,'',,,;;;;;;;;;;,,,,'''.'',,,,,,,,,,,,''',,;;;;,,,,,'''',''....'''''''.......'''''''...'''''''''''''''''''''''''',;codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc;'''',,,'',,;;;;;;;;;;;;;;;;,,,,,;;;;;;;;;;;,,',,;:;,.....;::;,''.',;::;;;,,,;;;;;;;;;;,,,,;;;;;;;:ox
	dddddddddddoooddoooooooooooooooooddddoodddoooooooddddooooodddoooooooooodddoooooddddddddddooddoolccccc:;;:::::::cc:cc:,...'',,,,,,,,,',,,,,,,;,,''',,,,,,''''''''...',,,:cc:,''''''''''''''.....''''''''',,,,,,,,'.....',,;;,,,,,,,,,;,,,'',,;;;;;;;;;;;;;;;,''...',,,,,,,,,''''''',,,,,,,,,'...''''....'''''..............................''...'''''''''',;codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddl:,,,,,'''..',;;;;;;;;;;;;;;;;,'',;;;;;;;;;;;;,,',,;:;,'....,;;,,'''',;:;;;;,,,;;;;;;;;;;,,,,;;;;;;;:ox
	dddddddddddoooddooooooooooooooooooooooooooooooooodddddooooooooooooooooodddooooodddodddddddoodoolccccc:;;:::::::cccc::,...''''''''''''''''',,,,,,,,;;;;,,'''',''....',,,,;,''''''''''''''''.....''''''''',,;;,,,''...''',,;;,,;,,,'',,,,'',,;;;;;;;;;;;;;;;;,,''',,,,,,,,,,,''....'',,,,,,,''...'''.....''''........'''''................................'',:lddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxdlc;;,,,,,,,'.',;;;;;;;;;;;;;;;;,'',;;;;;;;;;;;;,,',,;:;,.....',,,,,,'',;;;;;;,,,;;;;;;;;;;,,,,;;;;;;;:ox
	dddddodddddoooooooooooooooooooooooooooooooooooodddddddoodddddooooooooooooooooooddddddddddododoolccccc:;;:cc:::ccccc:;,'.'''''''''''''''''''''',,,,,,,,,,,,,,;,,'...',,,'''''''''''''''''......'''''''''',,;;;,''...','',,;;;;;;,,,''''',,,;;;;;;,,,,;;;;,,,,,,,,,;;;;;;;;;;,,''',,,,,,,,;,,,''',,'.....'''...'''...',,,,,'................................';ccccccllllllllcllooooooooooddddddddddddddddddxdoc;,,;;;;,,,'''',,,;;;;;;;;;;;;;,'',;;;;;;;;;;;;,,',,;:,'.....',;;,''',;;;;;;;,,,;;;;;;;;;;,,,,;;;;;;;:ox
	dddddoddddooooooooooooooooooooooooooooooooooooodddddddooodddddoooooooooooodddddddddddddddddoddooolllcc::cccccccccc:;,''',,,,,,,,,,,,,,,,,,'''''''',,,,,,,,,;,,,''...'''...'''''''''''........''''''''''',,,;,,....',,,'',,,;;;;,,,'..'',,;;;;;,,,,;;;;;;,,''',,;;;;;;;;;;;;,,'',;;;;;;;;;;;,,'',,'''',,,,,,''''''.....''''................................';;:;;;;;:cc::;,,,;;:::::::::::::cclllllllloooool:,',,,;;;,,',,,,',,,;;;;;;;;;;;,''',,;;;;;;;;;;,,''',;;,.....',,;,'..',;;;;;;;,,,;;;;;;;;;;,,,,;;;;;;;:ox
	ddddddddddodddoooooooooooooooooddddddddddoooooddoddddooooooooddooooooooodddooooodoooooooooddooooooollccccccccccccc:;'''',,,'''',,'''',,,,,,,,,,,,,,,,''''''''''''........''''''''''........''''''''''''',,,,,'...',,,,,'',,;;;,,,''''''',,,;;;;;;;;;;;;;,,''',;;;;;;;;;;;;;,,'',;;;;;;;;;;;,'..'''',,,;;;;;;,,,,,'''''''''.............................'',;::c:::;;;;:;;;;:;;,;;;;;;::::::;;;;::;;;;::::;,''..',,,,,,'',,;,,,,,,,,,,,,,;,,''..',,,,,;;,,,,,,''''''.......'''...',;;;;;;;;,,,;;;;;;;;;;,,,,;;;;;;;:ox
	ddddddddddodddoooooooooooooooooddddooooddoooooddddddoooooooddodooooooooddoollllllllllllllllllllllllllccccccccccccc:,'.'',,,'''''''''''''',,,,,,,,,,,,,'',,'''''........'''''''''''''....''''''''''''''',,''...'''',,;;,,'',,;;,,,'',,,,,,,,,,,,;;;;;;;,,,''',,;;;;;;;;;;;;,,,',,;;;;;;;;;;;,'...'',,,,;;;;;;;;;;;,,,,,,,,''..........................,;;;;:::::::::::::::::::::::;;;::ccc:::;;;;,,,,,;;;,'...''''.....'',,,,,,,'',,,,,,,,,''.'',,,,,,,,,,,,''............'''..',;;;;;;;;;,,;;;;;;;;;;;,,,,;;;;;;;:ox
	ddddddddddoooooooooooooooooooooddddddddddoooooodoodddooooodddooooooooooddoolccccccc::::ccccccccccccccc::ccccccccc:;'..',,,,,,,,,,,,,,,,'''''','',,,,,,,,,,,,,''.'''''''''''''''',,,,'''''''''''''''''''''....',,,'',,;,,'',,,;,,,,,,;;;;;,,''',,,;;;;;,''',,,;;;;;;;;;;;;,,'',,,;;;;;;;;;;;,'...'',,,,;;;;;;;;;;,,,,;;;;;,'''.......................';:::;;,;;;;:cccc::::::::::ccc:;;;:::::::::::;;,,,,;;'..''''.........'''''''''''''',,'...'',,',,,''''''..........'''.''''',;;;;;;;;;;,,,;;;;;;;;;;,,,,;;;;;;;:ox
	ddddddddddooddoooooooooooooooooodddddddooooooooooodddooooodddddddddddddddoolccc::::::::cccccc::::::ccc::cccccccc:;,'.',,,,,,,,,,,,;;;;,,,,''''''''',,,,,,,,,,,'''''''''''''''..';cc:,''''''''''''..''''.....',,,,''',,,,'''''''',,;;;;;;;;;,,,,,,,,,,,,'',,,;;;;;;;;;;;;;,,',,;;;;;;;;;;;,,''..',,,,,,;;;;;;;;;;,,,,;;;;;,,'''''''''................',;;;;;;;;;;;;;;;;;:::::;;;;::;;;;;;;;;;;;:::::;;,,''...',''................'''''''''......''.'''''.........',,'.......',;;::;;;;;;;;,,,;;;;;;;;;;,,,,;;;;;;;:ox
	dddddddddoodddoooooooooooodooooooddddddooooooddddddoollllllllllllllllllloollccc::cc:::::ccc:::c::::cc::cccccccc:;,''''''''''''''',,,,,,,,,,,,,,,,'''''''''',,''''''''''''''...',:ll:,'''''''''''..........',,,;,,'''''''''''..'',,;;;;;;;;;;;;,,,,,,,'''',,,,,,,,,;;;;;;;,,',,;;;;;;;;;;;,'''',,,,,,,,;;;;;;;;;;,,,,;;;;;,,'''''''''''''',''''''..'',;:cccccc::;,',,;;:::::;;;;;;;;;:::;;,,,,;;:::;;;;,'....',,''....''''''''''''''''..........'.....''''''......',''......,:::::;;;;;;;;,,,;;;;;;;;;,,,,,;;;;;;;:ox
	ddoooooddddooooooooooooooodoooooooooddddoooooooolllc:;;;;;;;;;;;;;;;;;;;:::::::::::::::cccccccccc:::::::::::::;;'...''''''''''''''''''',,,,,,,;;,,,,,,,,,,,,,,,,'''''''''.....',;:;,''..................'',,,,,,,''..'',,,,'..',,;;;;;;;;;;;;;;;;,,''..',,,,,,,,,,,,,,,,,,'',,;,,,,,,,,,,,'',,;;;;,,,;;;;;;;;;;;;;,;;;:;;,,'''''',,,,,',,,,''''''',,;cclllllllc:;,,:cccccccccccccccccccc::::::::::::;;,'....''''''...''''''''''''''''''''.....'''''''''''''.....',,'...',,,;::::::;;;:::;,,,;;;;;;;;;,,,,,;;;;;;;:ox
	oooooddddddooooooooooooooooooooooddoooooooollc:;;,''....'''''',,,,,,'''''''''',,;;;;;::::::::::::;,,,,,,'''',,,'...'''''',,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,;;;,,'''''''''......'''''...........'''..'''',,,,,,,,'...',,;;;,''',,;;;;;;;;;;;;;;;;,,'''',,,;,,,,,,,,,,,''''''',,,''',,,,,'',,;;::::::;::::::c:::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;::cllllllllc:;,;:cllllllllllllllllllllllllllcccccc;,'..','''''....'''''',,,'''''''''''....'''''''''''''''...',;,''',,;;;;::::::::::;;;,,,;;;;;;;;;;,,,,;;;;;;;:ox
	oooodddddddooooooooooooooodooooodddooolcc:;,,,'''......''''''',,',,,,,,,,,,,,,,,''..'',,,,,,''''''...''''''',''....''''''''',,,,,,,,,,,,,,''''''''''''',,,,,,,,,,'''''..'',,''''''''',,,,''''''''....',,,,,,,,,,'....',,;;;;,,'',,;;;;;;;;;;;;;;,,,'',,,;;;;;;;;;,,,,,,''...'',,,,,,,,,,,;:cccclllllccllllllllllllllllllccccccccccccccccccccccccccccllllllllllc:;,;:cllllllllllllllllllllllllllllllcc;,..',,,,,,'''',,,''''''''''''''''''.....',,,'''''..''...',;::;;;;;;;;;;;;::::::;;;;,,,;;;;;;;;;;,,,,;;;;;;;:ox
	oooddddddddooodddooodddododdoooodoollc:;,'''''''''.'''',,,,,,,,,'',,,,,,,;;,,,,'''.'''''....'''''''''',,,,,,''.....'',,,'',,,'''''''''',,,,,,,,,,,,''''''''''''''..''...',,,,,,,,,,,,,,,,,,,''''''..'',,;;;,,,''''''''',,;;;;,'''',,;;;;;;,,,,,,,''',,,;;;;;;;;;;;;;;;;,'''',,,;;;;;;,;;:cclllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllc:;,;:cllllllllllllllllllllllllllllllc:,'.''',,;;,,',,;;,,,,,,,,,,,,,,,,,,'....'',,,,,'''',,,'.',;:cc::;;;;;;;;;;::;:;;;;;;,,,;;;;;;;;;;,,,,;;;;;;;:ox
	dodddddddddoodddoooooooooooooooool:;,,,''''''''''''',,,,,,,,,,'''',,,,,,,,,,,,'''',,,,,''''''''''''',,,,,''''.....',,,;,,,,,,,',,'''''''',,,,;;;;;,,,,,,,,,,,,,''......',,;,,,,,,,,,,,,,,,,,''',,,''''',,,,'''',,,,,,,,,,,,;;,''''',,,;;;;,,;,,,''',,,;;;;;;;;;;;;;;;;;,'',,;;;;;;;;,,;:clllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllc:;,;:clllllllllllllllllllllllllllllcc;,'',,',,,,,'',,;;;;;;;;;;;;;,,,,,,,,'..',,,,,,,,,,,;;,,',;cccc::;;;;;;;;;;;;;;;;;;;;,,,;;;;;;;;;;,,,,;;;;;;;:ox
	ddddddddddooodddoolllollllllllc:;,'''''',,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,''''''''''''''....',,;;;;,,,,,,,,,,,,,,,,,'''',,,,,,;;;;;;;;;;,,,'....',,,,,,,;,,,,,,,,,,,,,,,,,,,,,''''','''',,;;;;,,;,,',,,,,''',''',,,;;,,;,,,',,;;;;;;;;;;;;;;;;;;;,,'',,;;;;;;,;;;:cclllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllcc:;;:clllllllllllllllllllllllllllllc:;'.',,,,,,'''',,;;;;;;;;;;;;;;;;;;;;,'.',;;;;;;;;;;;;;,''';cclc::;;;;;;;;;;;;;;;;;;;;,,,;;;;;;;;;;,,,,;;;;;;;:ox
	ddddddddddooodddoolllcccccc::;,'..'',,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,;;,,'''',,,,,,,,,,,,,,,,,,,'''...',,,,'...',,,,,,,,,,,,,,,,,,,,,;,,,,',,,,',,,,,,,,,,,,,,'...'',;,,,,,,,,,,,,,,,,,,,,,,,,,,,''..'''',,,;;;;,,;;,,'',,'',,,,,,''',,,,,,,,,,,;;;;;;;;;;;;;;;;;;;,,'',,;;;;;;,;;::cclllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllcc::cllllllllllllllllllllllllllllllc;,'',,;;;;,,'''',,;;;;;;;;;;;;;;;;;;;,'.',;;;;;;;;;;;;;,'.';:clcc:;;;;;;;;;;;;;;;;;;;;;,,;;;;;;;;;;,,,,;;;;;;;:ox
	dddddddddoddooddoooolcc:::;,....'',,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,'...',,;,,'...'',,,'''''''''',,'''',,,,,,,,,,,,,,,,,,,,,,,,'''..',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'....',,,,,,,,,,,;;,,'''''',;;;;,,,'''',,''',,;;;;;;;;;;;;;;;;;;;;,'',,;;;;,,;;::cllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllcccclllllllllllllllllllllllllllllll:,'',,;;;;;,,'',''',,;;;;;;;;;;;;;;;;,'..',;;;;;;;;;;;;;,'.';cclllc:;;;;;;;;;;;;;;;:::;;,;;;;;;;;;;;,,,,;;;;;;;:ox
	ddddddddooddooooooollcc:;,'....'',,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,'..',,,;,,'''',,;,,;,,,,,,,,,,,,,'''',,',,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,;,,,,,,,'''....'',,,,,,,,,,;;,,''..'',,,;;;;;,,'''...',;;;;;;;;;;;;;;;;;;;;,,'',;;,,,,;;:cllllllllllllllllccccccclllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllc:,',,;;;;;;,,,,,,,'',,,,;;;;;;;;;;;,,'...',;;;;;;;;;;;;;,'.';cllllc::;;;;;;;;;;;;;;;::;;,,;;;:;;;;;;;,,;;;;;;;;:ox
	ddddddddoddoollllllcc:;,'.....',,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,'''',,,;,,'''',,;;;;;,,,,,,,,,,,,,,,,,,''''''',,,,,'',,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,'''',,,,,,,,;,,,'''''''',,;;;;;,,'....',,,,;;;;;;;;;;;;;;;;,,''',,,,,,;:ccllllllllccccc:::::;;;;;;:::ccccccccllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllc;,',,;;;;;;;,,,;;,,,,',,,;,,,,,,,,,,'....',;;;;;;;;;;;;,,'',:lllllcc:;;;;;;;;;;;;;;;::;;,,;;::;::;;;;,,;;;;;;;;:ox
	odddddddddooolcccc:;,'........',,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,''',,,,;;,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,',,,'''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,;;;;,,''',,,,,,,,,,'',,,,,,,,,,,,;,,'''''''''',,,,;,,,;;;;;;;;,,'''',,,;;::ccccccc:::;;;;;;,,,,,,,,,,,,,,,;;;;;;;;;::cccllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllc;,'',;;;;;;,,,;;;;;;;,,,,,,,''',''',,'..',,,,,,,,,,;;;;,'.'';clllllcc:;;;;;;;;;;;;;;;::;;,,;;;::::;;;;,,;;;;;;;;:ox
	ddodddddddollccc:;,'.........',,,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,'''',,,,,,,,,,,;;;;,,,,,;,,,,;;;,,,;;;,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,'''',,,,,,,'',,,;;;,,,,,,,,,,''',,,,,,,'''''''',,,,,,,,,,'...',;;::c:::;;;,,,,,,,,,;;,,,,,,,,,;;,,,,,,;,,;;,,,,;;;:::cccllllllllllllllllllllcclllllllllcccclllllllllllllllllclllllllll:,''',;;;;;,,,,;;;;;;;;;;;;,,,,,,,,,,,,''',;;;,,,,,'',,,''.';:cllllccc:;;;;;;;;;;;;;;;::;;,,;;;::::;;;;,,;;;;;;;;:ox
	ddoooddddoolcc::;,...........',,,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,'''''',,,,,,,,,;;;;,,,,,,,;;;,,,,;;,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,'',,,,;;;,,,,;;,,''''',,;;;;;,,,,''.'''''''''''.....',,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,;;;:::ccclllllllllcccccc:::cllllllc::;:cclllllllllllllccccllllllllc:,..',,;;;;,,,,;;;;;;;;;;;;;;;;;;;;;;,,'',,;;;;,,,,,,,,,,'.,:cllllllc::;;;;;,,;;;;;;;;::;;,,;;;::::;;;;,,;;;;;;;;:ox
	ddddddddooolcc:;,'...........',,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,;,,''',,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,'''''''',,,,,,,,,,,,,,,,,,,,,,'''''''...'',;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,,,''',,;,,,,,,,,;;,,'...'',,,,;;;;;,,''',,,,,,,,''....'',,,'.'',,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,;;;;;;::cccllllcc:::cc:;;:cllllcc:,,;:clllllllcllllllcccclllccclc;'..'',,;;;,,,,;;;;;;;;;;;;;;;;;;;;;,,''',;;;;;;;;;;;;;;,'',:cllllllcc:;;;;;,,;;;;;;;;;;;;,;;;;::::;;;;,,;;;;;;;;:ox
	dddddodddoolcc:,'............',,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,''''',,,,,,,,,'''''''''''.............'',,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''','''',,;;,,,,,,,,;;,,''.''''',,,,,,,,'',,;;;;,,,,,,'''',,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,;,;;;;;;;;;,,,;;;:cccc::;:::;,;:ccllcc:;,,,;:ccccc:::ccccccccccclccccc:,''','',,,,,,,;;;;;;;;;;;;;;;;;;;;;;,,',,,;;;;;;;;;;;;;,,',;cllllllccc:;;;;;;;;;;;;;;;;;;,,,;;;:::;;;;,,,,;;;;;;;:ox
	ddddoddodoolcc:;'............',,',,,,,''''',,'''''',,,,,,'''''''''''''''''''''..'',,,,,,,,,,,,,,,,,,,,,,'''.''''',,,,,'''''''...'''''''''''...................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'...''',,,,;;;,,,,,;;;,,''',,,''''',,,''''',,,,,,,,,,'..',,;;;;;;;;;;;;;;;;;;;;;;,,,,,;;;;;;,,,,,,,;;;;;;;;;;;;;;;;;;;;;,,,,,,;;;;;;;,,;;,',;;;::;;;,''',;;;;;;;,;;;;;;;;;;;:::::::;,'',,,,''''',;;;;;;;,,,,;;;;;;;;;;;;,'',,;;;;;;;;;;;;;,''',:clllllcccc:;;;;;;;;;;:::::;;;,,,;;;::;;;;,,,,,;;;;;;;:ox
	ddoddddddoolcc:,'............''''''''''''''''''.....'''''''''''''''''''''''''.....'''''''''''''''''''''''''.....'''''''''''''....'''''''.........................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,'.....''''',,,,,,,,,,,,,''',,;,,,,,,,,'...'''',,,,,,,'...'',;;;;;;;;;;;;;;;;;;;;;;,,,,,,;;;,,,,,,,;;,;;;,,,,,;;;;;;;;;;,,,,,,,,,,'''''''''''''''','''''''',,,,,,,,,,,,,,''''''',,,,,,''',;;,,'...',,;;;;;;,,;;;;;;;;;;;;,,'',;;;;;;;;;;;;;;,'.';:clllccllcc:;;;;;;;;;;;;;;;;;;,,,;;;:;;;;;,,,,,;;;;;;;:ox
	dddddddddoolcc:,'.............'''''''''''''''''''''''''''''''''',,,''''''','''''''''',,,,,,,,,'''''''''',,,'''...''''''',,,'''''''...............................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''',,,''''',,,,;;,,,'',,,;;;,,,;;,,'''',,,,,,,;;;;,'..'',,;;;;,;;;,,,;;;;;;;;,,,,;;;;;;;;,,,,,;;;;;;;;,,;;;;;;;;;;;;;;;;;;,,,,'...'',,,,,,,,,,,,,,,,;;,;;;;;;;;;,,,,,,,,,,,,,,,''...',;;,'.....',,,;;;;;;,,;;;;;;;;;,,''',;;;;;;;;;;;;;,,'',:ccclcclllcc:;;;;;;;;;;;;;;;;;;,,,,;;;;;;;;;,,,,;;;;;;;:ox
	dddddddodoollcc;'.............'''',,,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''',,,,'',,,''......................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,''',,,;,,'',,;;;;,,,,;;,,'',,,;;,;;;;;;;,'..',,,,,,,,,,,,,,;;;;;;;,,,,,,;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;,,,,,,,,,;;,,'..'''''',,,,,;;;;;;;;;;;;;,'',,,;;;;;;;;;;;;,,'',;:cccc:ccc::::;,,,,;;;;;;;;;;;;;,,,,;;;;;;;;;,,,,;;;;;;;:ox
	ooodddoodoolccc:,'............'',,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,;,,,,,,,,,,,,,,,,,''''''''..............................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,,,,''',,,,'',,;;;;,,,,,;;,,',,;;,,,;;;;;;;,'..',,,;;,;;;;;,,;;;;;,,,,,,,,,,;;;;;,,,,,,''''''''''''''''''''',,,,,,,,,,,,,,,,,,'''''''''''''''''''''''''''''''',,,,,;;;;,;;;;;;;,''''',,,,,,''''',,,,;;;;;;;;,,'',;;;;;;;;;;;;;,,'...',,,,,,,,,,,''''''',,;;;;;;;;;;;,,,,;;;;;;;;;,,,,;;;;;;;:ox
	oooooooodoolccc::,'...........''',,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,'''',,;,,,,,,,,,,,,,,,,,,,,,,,,'''''''....................................................',;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,;,,,,,,,,,,,''.'''',,,;;,,,;;;;,,,,,,,;,,,,,,,;;;;,'.',,;;;;;;;;;;;;;;;,,,,,,,,,,,,,,'''''''''''''''',,'',''''''''''''''''''''''''''''''''''''''''''''''',''''''''''''''''',,,'',,,,,,,''',,,,,,,,,'''''''',,,,;;;,,,',,;;;;;;;;;;;;,,'.......................',,;;;;;;;;;;,,,,;;;;;;;;;,,,,;;;;;;;:ox
	llloooooooolcccc:;,''..........'',,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,'',;;,,,,,,,,;,,,,,,,,,,'''''''''''.....................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'....',,,,,,;;;;;;,,',,,;;;,,,,,,,,,,,'.',;;;;;;;;;;;,;,,,,,,,,;;,,,''''''''''',,''',,,,,,,,,,,,,'',,''''''''''''''''''',,,,'',''',,,,,,,,,,,,,,,'',,,,''''''',,''''',,,''..',,,,,,,,,,,,'''''''''''''''',,;;;;;,;;,,,''..........................',;;;;;;;;;;,,,,;;;;;;;;,,,,,;;;;;;;:ox
	:cccllooooolcccccc:;,'..........'',,,,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,''''''''''''''''..........................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,...'',,,,,,,;;;;;,'',,;;;;;;,,,,,,,,'..',;;;;;;;;;;,,,,,,,,,,,,,''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''.''',,,,,,,,,,,,,,,,'''''''....''''''''''',''............................',;;;;;;;;;;,,,,;;;;;;;;,,,,,;;;;;;;:ox
	::cccccllollccc:ccc::;,'.........',,,,,,,,,,',,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,''''..'''''''''''''''''''''..............................................................',,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.',,,,,,,,,,,,,,,'',,;;,,,,,,,,,,,,'..',;;;;;;;;;;,,,,,,,;;;,''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,'''''''''''''''''''''............................',;;;;;;;;;;,,,,;;;;;;;;,,,,,;;;;;;;:ox
	::cc::::ccllcc:::;;;::;;,''.......'',,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,''''''''.....'''''''''''''''...................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,''''',,,,,,,,,,,,;;;;,'.',;;;;;;;;,,,,,,,;;;,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'.............................',;;;;;;;;;;,,,,;;;;;;;;,,,,,;;;;;;;:ox
	:::::;,,;:cccc::;,'',;::::;,''.....'''',,,,,,,,',,,,,'''',,,,,,,,,,''''''''''..''''''''''''''''.........................................................................'',,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,,,'...'',,,,,;;;;;;;;;;,,'',;;;;,,,,,,,,,,;;,,,'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'...............................,;;;;;;;;;;;,,,,;;;;;;;;,,,,,;;;;;;;:ox
	cc::;;,,,;:ccc::;,'',;::::::;,,'......''',,,,,,',,,,,'''..'''''''''''''''''''',,,,,,''...................................................................................',,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,;,,'...',,,,,,;;;;;;;;;;,,',,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'................................',;;;;;;;;;;,,,,;;;;;;;;,,,,,;;;;;;;:ox
	cc::;;,'',;:cc::;,'',;:::::::::;,'......'''''''''',,,''''''''....'',,,,''',,,,,,'''''....................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,;;,''',,,;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,,,,,,,,,,,,,,,''...'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'.................................',;;;;;;;;;;,,,,;;;;;;;;,,,,,;;;;;;;:ox
	cc::;;,''';::c::;'.',;::c::cccc:::;,'............'''''''''''''''''',,,,,,'''''............................................................................................,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,'',,;;;;;;,,,,,,,;;;;;;;;;,,,,,,,,;;;;,,'''',,,,,,,,,,,,,,,,,,,,,,,,,''..''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..................................',;;;;;;;;;;,,,,;;;;;;;;,,,,,;;;;;;;:ox
	cc::;;,''',;::::;,'',;:::::cccccccc:;,,'..........'''',,,,,,,,,,'''''',''.................................................................................................,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',;;;;;,,,,,,,,,,,,,;;;;;;;,,,,;;;;;,,'.'',,,,,,,,,,,,,,,,,,,,,,'''...'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'...................................',;;;;;;;;;;,,,;;;;;;;;;,,,,,;;;;;;;:ox
	cc::;;,''',;;::::,,,;:::::ccccccccccc:::;,,'.........'',,,,,,,,,''''''......''''''''..'''''...............................................................................',;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,'',;;;;;;,,,,,,,,,,,,,,;;;;;;,;;;;;;,''.'',,,,,,,,,,,,,,,,,,,,,,''...'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''....................................',;;;;;;;;;;,,,;;;;;;;;;,,,,,;;;;;;;:ox
	::::;;,''',,;:c:::;;::::::::ccccccc:::ccc::;;,,''''....''''''''''''.....''',;;:::;;;;;;;;;,...............................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,;,,'',;;;;;;,,,,,,,,,,,,,;;;;;;;;;;;;;;,'..',,,,,,,,,,,,,,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''......................................',;;;;;;;;;;,,,;;;;;;;;;,,,,,;;;;;;;:ox
	::::;;,''',,;:cc:::::::::::::::::::::ccccc::::::;;;;,'''','''',,,,,''',,,,,,;:cc::;;;::::;,...............................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,,,,'',;;;;,,,,,,,,,,,,,,,,;;;;;;;;;;;;,,'.',,,,,,,,,,,,,,,,,,,,,''.''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'........................................',;;;;;;;;;,,,,;;;;;;;;;,,,,,;;;;;;;:ox
	::::;;,''',,;::cc::::::::::::::::::::::::cc:cc:::::::::::::::::::::;,,,,,,,,;:cc::::;:::;,'...............................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',;;;;,,,,,,,,,,,,,,,,,,;;;;;;;;;,,'''',,,,,,,,,,,,'''',,,''..'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''........................................',;;;;;;;;;,,,,;;;;;;;;;,,,,,;;;;;;;:ox
	::::;;,''',,;:ccc:::::::::::::c::::::::::cc:::::ccc::ccccc:cccccc::;,,,,,,,,;:cc:::::::;'.................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',;;;,,,,,,,,,,,,,,,,,,,,;;;;;;;;,''''',,,,,,,,,,,''..'''''.'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''........................................',;;;;;;;;;,,,,;;;;;;;;;,,,,,;;;;;,,:ox
	::::;;,''',;;:cc:::::::::::::ccc::::::::::c:::::c:::::::::::::::::;;,,',,,,,;:cc:;;::::;'.................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'.'',,,,,,,,,,,''.......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'........................................',;;;;;;;;;,,,,;;;;;;;;;,,,,,;;;;;,;:ox
	::::;;,''',;;:cc::::::::::::cccc::::::::::::::::::::::::ccc::::::::;,'''',,,;:cc:;;;::;,..................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,;;,,'..',,,,,,,,,,,''.......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.........................................',;;;;;;;;;,,,,;;;;;;;;;,,,,,,,,;;;;:ox
	::::;;,''',;;::::;,;::::::::::c::::::::::::::::::::::::::::cccccc::;,'''',',;:cc:;;;:;,'..................................................................................',;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,;,,'...',,,,,,,,,,''.......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''...........................................',;;;;;;;;;,,,,;;;;;;;;;,,,,,,,,;;;;:ox
	::::;;,''',,;:::;,',;:::::::c:::::::::::::::::::::::::::c::ccccccc:;,'''',,,;:cc:;;;:;,...................................................................................,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,,,,,,,,,,,,,;;;,,,,;,,'..'',,,,,,,,,'''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''........................................................',;;;;;;;;;,,,,;;;;;;;;;,,,,,,,,;;;;:ox
	::::;;,''',,;:::;,'',;::::::c:::::::::::::::::::::::::::c::::ccc:::;,'''''',;:cc:;;;;,'...................................................................................,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,;;;;;;;;;;;;;;;,,,,;,,'''',,,,,,,,,''.....''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''......''''',,''...............................................',;;;;;;;;;,,,,;;;;;;;;;,,,,,;;;;;;;:ox
	::::;;,''',;;:::;,'',;::::::::::::::::::::::::::::::::::::::::cc::;,,'''',,,;:cc:;;;,'...................................................................................',,;,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,;;,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;,,,,,,,,,;;;;;;;;;;;;;;;;;;;,,,'',,,,,,,,,,,'.....'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''',,,,,,,;;::::c:;,...............................................',;;;;;;;;;,,,,;;;;;;;;;,,,,,;;;;;;;:ox
	::::;;,''',;;:::;,'',;::::::::::::::::::::::::::::::::::::::::cc:::;''''',,,;:cc:;;,,'..................................................................................,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,;;;,,,,,,;;;;,,,,,,;;,,,,,,,,;;;,,;;;;;;;;;;;;;;;;;;;;,,''',,,,,,,,,,''....'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''''''',,;;:ccccccclllllllc:,...............................................',;;;;;;;;;,,,,;;;;;;;;;,,,,,;;;;;;;:ox
	::::;;,''',;;:::;,'',;::::::::::::::::::::::::::::::::::::::::ccc::;''.'',,,;:cc:;;,''.................................................................................',,;,,,,,,,,,,,,,,,,,,'''''''''........',,,;;;;;;;;;;;;;;;;,,,,,,,,;;;;;,;;;;;;;;;;;;;;;;;;;;;;;;;,,'''',,,,,,,,,''....'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''''',,,;:cccllllllllllllllllc:,...............................................',;;;;;;;;;,,,,;;;;;;;;;,,,,,;;;;;;;:ox
	::::;;,''',;;:::;,',,;::::::::::::::::::::::::::::::::::::::::cccc:;''''',,,;:cc:;;,''................................................................................',,,,,,,,,,,,,,,,,,,,,,''''',,,''''''.....'',,,;,,,,,,,,;;;;,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;,'''',,,,,,,,,''...''',,,,''''.'''''''''''''..''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''',,;;;::::::;,;:cllllllllllllcccccc:;,...............................................',;;;;;;;;;;,,,;;;;;;;;;,,,,,;;;;;;;:ox
	::::;;,''',,;::::;;;;:::::::::::::::::::::::::::::::::::::::::ccc::;''''',,,;:cc:;;,''...............................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.....',,,'......',,,,,,,,,,'..........',,;;;;;;;;;;;;;;;;;,,'..',,,,,,,,''.......'''''''''',,,,,,,,,,,,''''''''''''''''''''''',,,'''',,,,,,,,,,,''''''''''''''''''',,,,;;:::ccccccllcc:,,:cllllllllcccccccccc:;'...............................................',;;;;;;;;;;,,,;;;;;;;;;,,,,,;;;;;;;:ox
	;;;;;,,''',,;::::::::::::::::::::::::::::::::::::::::::::::::::cc::;,''',,,,;:cc:;,,'...............................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''',,,,,''........      ..'',,''................'',,,,;;;;;;;;;;;,,'...',,,,,,,'.......'',,;;::::::ccccccc:::::::::::::;;;;;;,,,,,,'''''''''''''''''''''''.''',,,,;;;;;;::::ccccclllccccccllcc:,,:clllllllccccllllllc:;'..............................................'',;;;;;;;;;;,,,;;;;;;;;;,,,,,;;;;;;;:ox
	',,,,''''',,;:::::::::cc:::::::::::::::::::::::::::::::::::::::::::;,,,,,,,,;:cc:;,''..............................................................................',,,,,,,,,,,,,,,,,,,,,''''..............',,,,'..             ...............''''''....'',,;;;;;;;;;;,'..'',,,,,,,''..'',,;;::ccclllllllllllllllllllllllllllcccccccc:::::;;;;;;;;;;;;;;;;;;;;;;;:::cccccccccllllllllllllccccccclcc:;;:cllllllllllllllllll:;'...............................................',;;;;;;;;;;,,;;;;;;;;;;,,,,,;;;;;;;:ox
	''','''''',;;::::cc:::cc:::::::::::::::::::::::::::::::::::::::cc::;,,,,,,,,;:c::;,''.............................................................................',,,,,,,,,,,,,,,,,'''''''.'''''''...........'','..               .....'''',,,,,,,,,,'''''',,;;;;;;;;;,'.'',,,,,,,''..';::ccccccclccllllllllllllllllcclllllllllllllllllllcccccccccccccccccccccccccclllllllllllllllllclllccccccclllcc::clllllllllllllllllll:;'...............................................',,;;;;;;;;;,,;;;;;;;;;;,,,,,;;;;,,;:ox
	'''''''''',;;:::ccccccc::::::::::::::::::::::::::::::::::::::::cc::;,'',,,,,;:cc:;,''............................................................................',,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,''........'..             ...'',,,,,''''....',,,,,,,,,,;;;,,,,,,'..',,,,,,,,'..';:ccclllcccccclllllllllllllllcccllllllllllllllllllllccccllcccccccccccccccccccccllllllllllcccccccccccccccccllllllllllllllllllllllllll:;'...............................................',,;;;;;;;;;,,,;;;;;;;;;,,,,,;;;;,,;:ox
	'''''''''',,;::::::::::::::::::::::::::::::::::::::::::::::::::::::;,'',,,,,;:cc::;,'...........................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''','''''.......             ..'''''''............'',,,,,,,,,,,,;,,'''',,,,,,,,''',;:cclllllllllllllllllllllllllllllllllllllllllllllllllccccccccccccclllcccccccccccclllllllcccccllccccccccccccccclllllllllllllllllllllll:;'...............................................',,;;;;;;;;;,,,;;;;;;;;;,,,,,;;;;,,;:ox
	'''''''''',;;:::::::::::::::::::::::::::::::::::::::::::::::::::::;,,'''',,,;:::::;,'.........................................................................',,,;;,,,,,,,,,,,,,,,,,,,,,,,'''..............''...               .......................',,;;;,,,,,,,,'''',,,,,,,,'.',;:ccccccllllllllllllllllllllcccccccccccccccclllllcccccccccccccccccllllcccccccccccllllllllcccllllccccccccccccccccllllllllllllllllllllll:;'...............................................',,;;;;;;;;;,,,;;;;;;;;;,,,,,;;;,,,;:ox
	'''''''''',;;::::::::::::::::::::::::::::::::::::::::::::::::::c::;;,''''',,;:::::;,'........................................................................',,,,,,,,,,,,,,,,,,,,,,,,''''.......................                ......''',,,,,,,,,''..'',,,;;;,,,,,,'.'',,,,,,,'..,;ccccccccllllllllllllllllllccccccccccccccccccllllcccccccccccccccllllllllllllllllllllllllcccllccllllccccccccccllllllllllllllllllllllllll:;'...............................................',,;;;;;;;;;,,,;;;;;;;;;;,,,,;;,,,,;:ox
	'''''''''',;;::::::::::::::::::::::::::::::::::::cc:::c:::cc:::c:::;,''''',,;:cc:;,'........................................................................',,,,,,,,,,,,,,,,,,,,,,'''.......''.................              ....''''''''''',,,;;;,,,,'',,,,;;,,;,,'''',,,,,,'''',;cccccccccccllllllllllllllllcccccccllllllllllllllllccccccccccccccccccccccccllllllllllllcccclllllllllllllllllllllllllllllllllllllllllllll:;'...............................................',,;;;;;;;;,,,,;;;;;;;;;;,,,,;,,,,,;:ox
	'''''''''',;;::c:::::::::::::::::::::::::::::::c::::::::::::ccc:::;;,''''',,;::::;'.......................................................................'',,,,,,,,,,,,,,,,,,,,,'''''''',,,,,,,,,,,,,,,,,,,,'...            ..''''.''.........'',,;;;;,,,,,,,,,,,,'..',,,,,''..',:cccccccclcccllllllllllllllllccccccllllllllllllllllccccccccccccccccccccccccccllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll:,'...............................................',,;;;;;;;;,,,,;;;;;;;;;;,,,,;;,,,,;:ox
	,,,,,,,,,,,;;::c:::::::::::::::::::::::::::::::::::::;::::cccccc::;,,,,,'',;::::;,.. ....................................................................',,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;,,,,,,,,,,,,,,..          .....................',,;;;;;,,,,,,,,,'..',,,,,''.'';:cccccccclllcclllllllllllllllllcccccllllllllllllllllllllllccccccccccccccccccccllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll:,'...............................................',,;;;;;;;;,,,,;;;;;;;;;;,,,,;;;,,,,:ox
	:::::::::;;::::::::::::::::::::::::::::::c:::c::::;,,,;;::c:cccc::;,,,,,,,;;::;,'.......................................................................',,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,'..       .......''''',,,,,,'''...',,;;;;,,,,,,;,'..'',,,,'''',;:ccccccccclllllllllllllllllllllllllclllllllllllllllllllllllllllccccccccccccccccllllllllllllccllllcc:::cclllllllllllllllllllllllllllllllllll:;'...............................................',,;;;;;;;;,,,,;;;;;;;;;;,,,,;;;;;,,:ox
	oooooooooolcc::::::::::::::::::::::::::::c:::cc:::;,'',;::::cccc::;,,,,,'',,,''........................................................................',,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'....      ...'',,,,,;;;;;;;;;;;,,,'.'',,;;;;;,,,,,'...',,,''.',;:ccccccccccccllllllllllllllllllllllllllllllllllllllllllllllllllllllcccccccccccccclllllllllllccccllcc:;,;:ccllllllllllllllllllllllllllllllllll:,'...............................................',,;;;;;;;,,,,,;;;;;;;;;;,,,,;;;;;,,:ox
	kkkkkkkkkxdocc:::::::::::::::::::::::::c::::::::::;,'',;::cccccc::;,,''''............................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'...          .',,;;;,,;;,,,,,,,,,,,,,,,''',;;;;;;;;,'....',,''.',;ccccllccccccccclllllllllllllllllllllllllllllllllllllllllllllllllllllcccccccccccccclllllllllllccccllc:;,,,;:clllllllllllllllllllllllllllllllllc:,................................................',,;;;;;;;,,,,,;;;;;;;;;,,,,,;;;;;,,:ox
	kkkkkkkkkkdoccc::::::::::::::::::::ccccc:::::::::;;,'',;;:::::::;;,,''''...........................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'...             .',;;;;,,,,,,,,,,,,,,,,,;,,,,,,,,;;;,,,'...'',''',;ccllccllccccccccllllllllllllllllllllllcclllllllcccccccccccclllllllllllcccccccccccccclllllllllllccccllcc;,,,;:cccccccccccllllllllllllllllllllllll:,................................................',,;;;;;;;,,,,;;;;;;;;;,,,,,,;;;;;,,:ox
	kkkkkkkkkkdocccc:::::::::::cc:::ccc::::::::;;;;;;;,,'.''''''''''''''..'''.........................................................................',,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..                ..,;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,'..''''''',;:cclllllccccccccclllllllllllllllllllllllccllllllccccccccccccclllllllllllcccccccccccccclllllllllllcccclllc:;,,;:cccccccccccccllllllllllllllllllllll:,................................................',,;;;;;;;,,,,;;;;;;;;;;,,,,,;;;;;,,:ox
	kkkkkkkkkkdocccc:::::::c:::cc::ccc::::::;;,,,''''''..............'''''''''.......................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,...                   .,;;;;,,,,,,,,,,,,,,,,,,,,;,,,,,,,,'...'''''',;cccccccllccccccccccllllllllllllllllllllllcclllllllcccccccccccclllllllllllcccccccccccccclllllllllllccccllll:;,;;:ccccccccccccclllllllllllllllllllllc:,................................................',,;;;;;;;,,,,;;;;;;;;;;,,,,,;;;;,,,:ox
	kkkkkkkkkkdoccc::cc:::::::::c::::::::;,''...........'''''.......'',,,,,,,'.....................................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..                    ..,;;,,,,,,,,,,,,,,,,,,,,,,,,,;;,,,'....'..',;:cclccccccccccccccccclllllllllllllllcclllllllcclllllcccccccccccclllllllllllcccccccccccccllllllllllllccccclllc::::ccccccccccccccccccccccccclllllllcclc:,................................................',,;;;;;;;,,,,;;;;;;;;;;,,,,,;;;;,,,:ox
	kkkkkkkkkkdlccc::cccc:c:::::::::;,,'''..........'''''''''''....',,,',,,,,'...................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,..                      .',,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,'''......',:cccccccccccccccccccccclllllllllllllllcccllllllcccllllccccccccccccllllllllllllccccccccccccclllllllllllcccccllllccccccccccccccccccccccccccccclllllllcclc:,................................................',,;;;;;;;;,,,;;;;;;;;;;,,,,,,;;;,,,:ox
	kkkkkkkkkkdocc::::cccc:::::;;,,''.........'''''''''''''''.....''',,,,,,,,'.................................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'.                      ..',,,,,,,,,,,,,,,,,,,,,,,,,,,;,,'''.....'',:cccccccccccccccccccccccllllllllllllllccccllllcccccllllccccccccccccllllllllccccccccccccccccccccccccccccccccccccclcccccccccccccccccccccccccccclllllllcclc:,................................................',,;;;;;;;;;,,;;;;;;;;;;,,,,,,;;;,,,:ox
	kkkkkkkkkkdocc:::::cc::;;,'''.........''''''''''''''''''......',,,,,,,,,,'................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..                      .',,,,,,,,,,,,,,,,,,,,,,,,,,,,,'.......'',,;::ccccccccccccccccccccccccllllllllccccccccclccccccccllllccccccccclllllllccccccccccccccccccccccccccccccccccccccccccllllcccccccccccccccccccccccclllllllclc:,................................................',,;;;;;;;;;,,;;;;;;;;;;,,,,,,,,,,,,:ox
	kkkkkkkkkkdlcc::::::;;,'.......'''''''''''''''''''''''''.....',,,,,,,,,,,'...............................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..                     ..,;;,,,,,,,,,,,,,,,,,,,;;;,,,,'......',,,,;;;::ccllccccclllllccccccccccccccccccccccccccccccccccccclllllllllllllllllccccccccclllllllllllcc::;::cccccccccccccccccllllllllllllllcccccccccccccllllllllll:,................................................',,,;;;;;;;;;,;;;;;;;;;;,,,,,,,,,,,,:ox
	kkkkkkkkkkdocc::;;,,'......'''''''''''''''''''''''''''''.....',,,,,,,,,,,'............................................................'',,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..                   ...',;,,,,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,;;:ccllcccccllllccccccccccccccccccccccccccccccccccccccclllllllllllllllcccccccccclllllllllllc:;,,;;:cccccccccccccccccclllllllllllcccccccccccccclllllllllc:,................................................',,;;;;;;;;;,,,;;;;;;;;;,,,,,,;,,,,,:ox
	kkkkkkkkkxdl:;,''........'''''''''''''''''''''''''''''''.....',,,,,,,,,,,,''........................................................'',,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,..                 ...',,,,,,,,,,,,,,,,,,,,,,,,''....';:::;;;,,,,,,,;;:ccllcccccllllcccccccccccccccccccccccccccccccccccccccllllllllllllllccccccccccclllllllllllc:;,,,;:cccccccccccccccccclllllllllllccccccccccccccllllllllcc;'................................................',,;;;;;;;;,,,,;;;;;;;;;,,,,,;;;;,,,:ox
	kkkkkkkxdl:;'......'''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,'.......................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..             ...',,;;,,,,,,,,,,,,,,,,''''''....',;ccc:;;;,,;,,,;;::cclllccccllllcccccccccccccccccccccccccccccccccccccccllllllllllllccccccccccccclllllllllllc:;,,;;:cccccccccccccccccclllllllllllccccccccccccccllllllllc:;'................................................',,;;;;;;;,,,,,;;;;;;;;;,,,,,;;;;,,,:ox
	kkxxxxoc;,'....'''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,'.....................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'...       .....',,,;,,,,,,,,,,,,,,,,,,,,,,''...',:cccc:;;,,,;,,,;;;:ccllcccccllllccccccccccccccccccccccccccccccccccccccllllllllllllcccccccccccccccllllllllllcc:,,,;:ccccccccccccccccccllllllllllllcccccccccccccllllllllc:;,................................................',,;;;;;;;,,,,,;;;;;;;;;,,,,,,;;;,,,:ox
	oolc:;,'....''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,,'................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'.......'',,,,;,,,,,,,,,,,,,,,,,,;,,,,,''',,,,;:clcc:;;,,,,,,,,;;:ccccccccccccccccccccccccccccllllllllllcccccccccccccccccccccccccccccccccccccccccccccccccccc:;,;;:cccccccccccccccccclllllllllllccccccccccccccccccccccc:;'................................................',;;;;;;;,,,,,,;;;;;;;;;,,,,,,;;;,,,:ox
	,,,''....'''''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,,,'.............................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,,,,,,,,,,,,;;;;,,,''',;:::;;:clcc:;;;,,,,,,,;;:ccccccccccccccccccccccccccllllllllllllcccccccccccccccccccccccccccccccccccccccccccccccccccc:;;::ccccccccccccccccccccccccccccccccccccccccccccccccccccc:;'................................................',;;;;;;,,,,,,,;;;;;;;;;,,,,,,;;;,,,:ox
	.....'''''''''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,,,,,'........................................'',,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,,;:ccc:;;:ccc:;;;;,,,,,,,;;:ccccccccccccccccccccccccccllllllllllllcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:;'................................................',;;;;;;,,,,,,,;;;;;;;;;,,,,,,;;;,,,:ox
	.'''''''''''''''''''''''''''''''''''''''''''''''''''''''.....'',,,,;,,,,,,,,,,,,,'....................................'',,,,,,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;:cccccc:;;:cc:;;,,,,,,,,,,;;:ccccccccccccccccccccccccccclllllllllllcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:;'................................................',;;;;;;,,,,,,,;;;;;;;;;,,,,,,;;;,,,:ox
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,'...............................''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,,;::ccccccc:;;:cc:;;,,,,,,,,,,;;:ccccccccccccccccccccccccccllllllllllllcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccclllllllllllccccccccccccccccccccccc:;'................................................',,,;;;;,,,,,,,;;;;;;;;;,,,,,,;;;,,,:ox
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....',,,,,,,,,,,,,,,,,,,,''...........................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,,,,,,,,,;::::cccccccc:;::cc:;;,,,,,,,,,,,;:ccccccccccccccccccccccccccclllllllllllcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:;'................................................',,;;;;;,,,,,,,;;;;;;;;;,,,,,,;;;,,,:ox
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,,,,'.....................''',,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;,,''',;;::cc::::ccccccc:;;:cc:;;,,,,,,,,,,,;:ccccccccccccccllccccllccccccccccccccccccccccccccccccclcccccccccccccccccccccccccccccccccccc::;;::cccccccccccccccccccccccccccccccccccccccccccccccccccc:;'...............................................'',,;;;;;,,,,,,,;;;;;;;;;,,,,,,,,,,,,:ox
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,;;,,''.............''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',;:cccc::;::ccc::::;;::cc:;;,,,,,,,,,,,;::ccccccccccclllllcllllccccccccccccccccccccccccccccllllllcccccccccllccccccccccccccclllllllc:;,,;:ccccccccccccccccccccccccccccccccccccccccccccccccccccc;,................................................',,;;;;;;,,,,,,;;;;;;;;;,,,,,,,,,,,,:ox
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,,,,,,''''''',,'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,,,,''',,;;;:cccccc:;;;:cccc:::;;::cc:;;,,,,,,,,,,,,;;::::::::cccccccccccccccccccccccccccccc:::::::cccccclllccccclllccccccccccccccccccclllllllc:;,,,:ccccccccccccccccccccccccccccccccccccccccccccc::ccccc:;,.................................................',;;;;;;;,,,,,;;;;;;;;;,,,,,,,,,,,,:ox
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,'',,,;;::::::cccccc:;;::ccccc::;;;:cc:;;,,,,,,,,,,,,,;;;:::;;;:::::::::::::::ccccccccccc::;;;;;;;;;;;:::ccccccccclllccccccccccccccccccccccccccc:;,,,:cccccccccccccccccccccccccccccccccccccccccccccccccccc:;'.................................................',;;;;;;;,,,,,;;;;;;;;;,,,,,,,,,,,,:ox
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,''',;::cccc::::cccccc:;;;:cccccc:;;;:cc:;;,,,,,,,,,,,,;;::ccc::::::::::c:;;;;;;::ccccccccc:;,,,,,;;;;,,;;;::cccccccclllcccccccccccccccccccccccccc:;,,,:cccccccccccccccccccccccccccccccccccccccccccccccccccc:;'.................................................,,;;;;;;;,,,,,;;;;;;;;;,,,,,,,,,,,,:ox
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,',,,;::cccccc::::::ccccc:;;;:cccccc:;;;:cc:;;,,,,,,,,,;;;:::ccccc:::::::::c:;;,,,,;;::ccccccc:;;,,,,;::;;,,,;;;::ccccccclllllcccccccccccccccccccccccc:;;;:cccccccccccccccccccccccccccccccccccccccccccccccccccc:;'.................................................',;;;;;;;,,,,,;;;;;;;;;,,,,,,,,,,,,:ox
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''',,;:cccccccccc:;,;;:cc:cc:;;;:cccccc:;;;:cc:;;,,,,,,,,,;;::::ccccc:::c:::;:c::;;,,,,,,;:::::c::;,,,,;;:::;,,,,,,,;::::cccccccccccccllcccccccccccccccccc::cccccccccccccccccccccccccccccccccccccccccccccccccccccc:;'.................................................',;;;;;;;,,,,,;;;;;;;;,,,,,,,,,,,,,:ox
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''',,;;;;:cccccccccccc:;,,;:cc:cc:;;;:cccccc:;;;:cc:;;;;;;;;;;;;:c::::cccc:cccc:::ccc::;;;;;,;;;;;::c::;,,,,;;:::;,,,;;;;;::;;;::::;;:cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:::cccccc:,..................................................',,;;;;;;,,,,,;;,,,,,,,,,,,,,,,,,,,:ox
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''.''',,;::::::::ccccccccccccc:;,,;:::::::;;::ccccc::;;;:cc:;;::::::;;;:ccc:::cccc:cccc:::cc::;;::::;;::;;::cc:;;,,;;;:::;,,;::;;:::;;:cc::;;:cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:::ccccc:;,..................................................',,;;;;;;,,,,,;;,,,,,,,,,,,,,,,,,,,:ox
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''..'''',,;::::ccccc::::ccccccccccccc:;,,;::c::::;;;:cccc::;;;;:cc:;;::ccc:;;;:cc:;;:ccc::ccc::::cc:;;;:cc:;;:::;::cc:;;,;;::cc;;,;:::;;:::;;:ccc::::cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc::ccccccc:,..................................................',,;;;;;;,,,,,;;,,,,,,,,,,,,,,,,,,,:ox
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''''',;:::cccccccccc:::::ccccccccc::::;,,;::c::::;;;:cccc:;;,;;:cc:;;;::c::;;;:cc:;;:cc:::cc::;::cc:;;;:cc:;;:::;;:cc:;;,;;:cc:;;;;:c:;;:::;;:ccc:::::::ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc::ccccccc:,..................................................',,;;;;;;,,,,,;;,,,,,,,,,,,,,,,,,,,:ox
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''',,;;;;;;;:ccccccccccccc::::cccccccccc::::;,,;::ccc::;;::cccc:;;,;;::::;;;:::::;;;:cc:;;::::::cc:;;;:cc:;;::cc:;;:::;;:cc:;;,;;:cc:;;;;:::;;:::;;:ccc::::cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:::cccccc:,..................................................',;;;;;;;,,,,,;;,,,,,,,,,,,,,,,,,,,:ox
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......''',,,,,,,,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''.''',,,;;;;:::cc::;;::ccccccccccc:::::ccc:ccccc:::::;,,;::ccc::;;::cccc:;;,;;::::;;;:::::;;::cc:;;:::::::::;;;:cc:;;;:cc:;;::;;::cc:;;,;;::c:;;;;:c:;;:::;;:ccc::::ccccc:::cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:::cccccc:,..................................................',;;;;;;;,,,,;;;;;,,,,,,,,,,,,,,,,,:ox
	''''''''''....'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''.......''',,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''',,;:::::::::::::;,;::cc::ccc:::::::;;:c::ccccc:::::;,,;::cccc:;;::cccc:;;,;;::::;;;:::::;;;:cc:;;::::;;;:::;::cc:;;;:c::;;::;;;:cc:;;,;;:c::;;;:cc:;;:::;;:ccc:;;:ccc:;;;;:ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:::cccccc:,..................................................',,,,,;;;;,,,;;;;;;,,,,,,,,,,,,,,,,:ox
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	`,
	`0000000OOOOOO00000000OO00000000000000000OOOOOOOOO00000OO0000000000000000000000000000000000O00000O000OO00OOOOOOO00OOOOOOO00OO000000000000000OOO00000000000000000000000000O00OOO00OOOO0OOOO00000O0000000000OOOOO000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000OOOO000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000OOkxdxO0
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	ooooooooooooooodddooodddddddddooooooooooooooodddddddddoooodddddddddddddddddddddddddddddddddddddddddddddddddddolc;'.....'''''.......',,,,,,''''',,,,''',,,,,,,,,,,,,,,,,,;;,,'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',;,,,,,;;,,,;;;;;;,,,,,,,''''''',,,',,,,,,,,,,,,,''''''',''........';lddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc;,,,,,,,''''''',,,,,''..'',,,,,,',,,,,,,,;;,,,,,;;;,,,;:ldddddddddddddddddddddxO0
	ooooooooooooooodddooooodddddddddoooooooooooooddddddddddddddddddddddoooddddooooooooodddddddddddddddddddddddoddolc;,'''''''''''......',,,,,,''''',,,,''',,,,,,,,,,,,,,,,,;;,,,'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,',,;;,,,,;;;,;;,,,;;,,'''''......'',,,,,,,,,,,,,,''''',,,,;,,,''.....';codddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:,',,,,,,,,,,,,,,,,,,''',,,,,'''''',,'',,,,,,,,,,;;;,',:lodxdddddddddddddddddddxO0
	ooooooooooooooodddooooodddddddddooooooooooooodddddddddddddddddddddddoodddddddddddddddddddddddddddddddooodddddolc;,'''''''''''.....'',,,,,,''''',,,,''',,,,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,;;,,,,,;;;,,;;;,,;;,,,,,''..'''''''''..........''''''',,,,,;;;;;;;;,'''''',;:clodddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:,,,,,,,,,'',;;;;;;;,,,,;;,,,,,,,,,,'''',,,,,,,;;;;;,',:oddxdddddddddddddddddddxO0
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	ooooooooooooooodddooooodddddddddddoooddddddddddddddddddddddddddddddddooooodddddddddddddddddddddddddddddddddddolc;'....'''''''.....'',,,,,,,,''',,,,''',,;;;,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,;,,,,;;;,,,,,''''',,,,,,,,'''',,,,,,''''''',;;;;;;;;;,,;;;;;;,,''',,,,,,,,;clodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdlc;,,,,,,,,'''',,,,,,,,,;;;,,,,;;;;;,'',,,,,',,;;;;;;;:lodddxxxxxxxxdddddddddddddxO0
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	ooooooooooodddddddddddooodddddddddddddddddddddddddddddddddddddddooooddddddddddddddddddddddddddddddddddddooodddlc;'................'',,,,,,''''',,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,;,,,,,,,,,,,,,''',,,,,,,,''...',,,,.......'',,,;;;,,,,,;;;;,,,''',,;;;;;;;,,,,'''''...',;;;;;,,'',;codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc:;,,,,,,,,,;;,,,,,,,,,''',,,,,,',,,;;;,,,,,;;;,;coddxxxxxxxxxxxxxxdddddddddddddxO0
	odddddooooddddddddddddddddddddddddddddddddddddddddddddddddoooooddoooddddddddddddddddddddddddddddddddddddddddddlc;,'...............'',,,,,,''''',,,,''',,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,,,,,,,'..'',;;,,''',,,''.'',,,;;,,,,;;;;;;,,''',,,,,,,,,,''',,,''..'',,;;;;;,,'';coddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol:,',,,,,,,;;;;,,,,;;,,,,,,,,,'..',,,,,,,,;;;,;;:lodxxxxxxxxxxxxxxxxddddddddddddxO0
	odddddoooooddddddddddddddddddddddddddddddddddddddddddddddoollllooooooddddddddddddddddddddddddddddddddddddddddolc;,'...............'',,,,,,''''',,,,''',,,;,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,;;,,,''.',,;,,'''',,,,,,,'''',,,,,,,;;;;;;;,''...'''''',,,,,;,,,''''''',,;;,,'..';coddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddl:,',,,''',,;;;,,,;;;;,,,;;;,,''',,,'''',;;;;;;:codxxxxxxxxxxxxxxxxxxddddxddddddxO0
	odddddooodddddoooooooooddddddddddddddddddddddddddddddddddddolcccloooddddddddddddddddddddddddddddddddddddddddddlc;,'.....''........'',,,,,,''''',,,,''',,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,;;,,'..',,,,,''''''.'',,,,,,''',,,,,;;;;;,,,'....',,,,,,;;;;;,,,''',,,''',,,,'''',;:lodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc;,,,,'..',,,,,,;;,,,,;;;;;,,',,;;,'',,;;;;;:clodxxxxxxxxxxxxxxxxxxxxxdddddddddxO0
	ooooooooddddddooooooooooddddddddddddddddddddddddddddddddddddolc:::clooodddddddddddddddddddddddddddddddddddddddlc;'................'',,,,,,''''',,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,,,,,,,,,,,,''',,;,,'..',,;,,''''''.....',,;,,,'''''',,,,,'''''''',;;;;;;;;;;;,,,''',;,,,,,''''',,,,;:lddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc;,',,,''',,,'',,,,,,,;;;;,,,,,;;,,,,,;;;;:cloddxxxxxxxxxxxxxxxddxxddddddddddddxO0
	ddddddddoddddoooooooooodddddddddddddddodddddddddddddddddddddddolc::::cclllooodddddddddddddddddddddddddddddddddlc;'................'',,,,,,''''',,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,;,'..',,,,,''',,,'.    ...',,,,'...''''',,,,,,,'',,,;;;;;;;;;,,,''',;;;,,,,'..',,,,,;:lodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc;'',,,,,,,,,''''''',,;;;,,,,,;,,,,,,,,,,:codddxxxxxxxxxxxxxxxxddddddddddddddddxO0
	ddddddddoooooooooooooooddddddddodddddoddddddddddddddddddddddddddoolc:;:::ccclloooodddddddddddddddddddddddddddol:,'...........''..''',,,,,,'''',,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..',,,'''',,,'..       ..',,,''''',,,;;;;;;,,,',,;;;;;;;;;,,,''',;;;;;;,,..',,,,,,;:ldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc,',,,,,'',,,''''...'',,,,,,,;,,'',,,,;;:coddxxxxxxxxxxxxxxxxxxxxxdddddddddddddxO0
	ddddddddoooooooooooooooooddddoooddddoooddddddddddddddddooodddddddddollcc::;;:clllllllooooooddddddddddddddddddol:,'...........''''''',,,,,,'''',,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,''''''''...','''''',,,'..         ...''''',,,;;;;;;;;,,'',;;;;;;;;;;,,'',,;;;;;,,'...',,;;,,;codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddooollooddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc,'',,,,,'''',,,,''.....''',,,'''',,,,;:lodxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddxO0
	ddddddooooooooooooooooooooooooodddddooodddddddddddddddooooooooooooooooolc:;;;:cllc:;::ccccclloolllooooooooooool:;''...............''',,,,,'''''',,''''',,''''',,,,,,,,'',,,'''''''''''..''''''''..........'''''..........''''.'''',,''..             .....',,;;;;,,;;,'',;;;;;;;;;;,,',,,;;;;;,''...',,,,,'':odxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddoolllcc::::lodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc,''',,,,,,,,,,,,'..........'''''''',,:lodxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddxO0
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	ddddddddddoooooooooooooooooooddddddddddddddddddddddddddddddddooooooolc:::::;::;;;;;;;;;;;::::::::ccc:::::::ccc:;'.....................''''...................'....''''..............'''...''',,'''''''.................',,;,,,'',,;;;;,..    ..;cl:'.         ...'',,,,,,,;;;;;;;,,'',,;;;;,,'',,;,,,'..'''';codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddooolllllc:;;;:clodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdol;''',,,,,,,,,''''''...........''''';codxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddxO0
	ddddddddddoooooooooooooooooodddddddddddddddddddddddddddddddddddddddddoollllllllccc::;::cc:::;::::::;;;:::cccc:;,'.......................'.................''''.....''...............''''...............................',;;,,''',,;,,;,'.     .;dOOxdl:'.         ..''',,,,,;;;;,'.'',,;;,,,'',,;;;,,'''''..,codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddoollllllcc:;;;;:codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdoc;''',,,,,;,,,,,,,''............'.';coddxxxxxxxxxxxxxxxxxxxxxxddddddddddxdddddddxk0
	ddddddddddoddoodddoooddooooddddddddddddddddddddddddddddddddddddddddddddddddddoooooollllllc:;;;::c::;,;;;;::;;,'...........................................''''.....''...............'''......................''''......',;;,,''',,,,,;,'..     .ck0K00Odl;'..       ...'',,,;,,,'..',,;;;,,'',,,;;,''''''...'codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddolllllccc:;;;;:coddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdl:,''''''',,,;;;;;,,'...'.........';codxxxxxxxxxxxxxxxxxxxxxxxxddddddddddxxddddddxk0
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	ddddddddddoddoodddooodddoooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooollcccccccc:,...................................''''...''.....'','....'''''',,,,,,,,'''',,,;;;;,,,,',,,,,,,,,,,'...',,,,,'''',',,,,,,''..     .:xO0KKKKK00Od:'.      ..'',,,,,''',,,,''''''......       .,lddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddoollllllllcc:;;;;:clddxxxxxdddddddddddddddddddddddol:,,,''''',,,,,,,,,,,'............'',:ldddddddddddddddddddddddddddddddddddddddddddxO0
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	ddddddddooooddddddoooddddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddl:,''''...''''''''''''''''''''...'''''''''''''''''''...',,,,,,,,,;;,,,,,,,,,,,,,,;,,,,,'''',,;,,;,,'....',,,,,,,,'',,,;;;;;;;,,..       .,cdxkO0000xl,.    .',;;;;,'..       ..',;:loddl:'  .':oxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddoolllllllllllc::;;;;:codxxxxdolc:;;:::::;;;;;;;:;;,'''',,'',,;;;;;,,,,,,,'',,,''..... .....'''',;;;;;;;::;;::;;;,,,,;;;;;;;;;;;;;;;;;;;:ox
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	oooooooodddoddddddoooddddoodddddddddddddddddddddddddddddddddddooooddddddddddddddddddddddddddddddddddddddddddddl;''..''''............'''',''..'''....'....''''''....'',,,,'''',,;;,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,'...',,,,,;;;;,,'',,,;;,,,'''''...          ......     ..',,,,'.     .,cdk0KKKKK0Odc,.  ..;coddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxdolccllllllllllc::;;;;::lodxxxdolc::;;:::;;;;;;;;;,,,,,,'..',,;;;;;;;;;,,',,,;;;,,'.........',,...'',,,;;;;;;;:;;;,,,,;;;;;;;;;;;;;,,,;;;:ox
	oooooooodddodddoooddddddddooddddddddddddddddddddddoddddddddddddoodddddddddddddddddddddddddddddddddddddddddddddl;,''''''...........''''''''.........''...''''''....'',,,,,,''',,,,,,,,,,,'',,,,,,,,,,,''',,,,,,,,,'...',;,,,,,;;,,''',,,,,''',,,,,,'...                  ...',,'..   .'lxO0KKKK00kd:'..  ..',;;::cloodddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxxxxxxdollcllllllllllc::;;;;;:codxxxdolc:::::::;;;;;;;;,'',,;,''.'',;;;;;;;;;,,',,;;;;;,,'.........'''...''',,;;;;;;::;;;,,;;;;;;;;;;;;;;,,,;;;:ox
	ooooooooooooooodooddddooooddddddddddddddddddddddddooodddddddddoddddddddddddddddddddddddddddddddddddddddddddddol;,'''''''.......''''''''''.......'......''''''....'',,,,,,,,',,,,,,,,,,,,'',,,,,,,,,,,''',,,,,,,,''...',,,,,,,,;,,,'''''',,,,;;;;;;,,''....       .........''''..    .:x0000Okdoc;..    ..,:c:;,,,,;:cooddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxddlccllccccccccc::;;;;;;coddxxdolc:::::::;;;;;;,,,,,,;;,,,,,,,,,,,,,,,,,''',,,,,;;,'...........',''...,;;;;;;;::;;;;;;;;;;;;;;;;;;;,,;;;;:ox
	ooooooooooooooodddddooooooddddddddddddddddddooddoddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddl;,''''''.......',,''''''....''''''''...''''''.....',,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,''',,,,,,,,''...',,,,,,,,,,,'....',,;;;;;;;;;;;;,,''.....''''''''..',,,,'..    ..;cllc:,'.      ...';coolc:;,',;:clllooddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddllcccccc:;;:ccc:;;;;;;:lodxxdolc:;:::::;;;;,,,',,;;,,,,;;;;;,,,,,,,,,''',,,,,,;;,'......'''..',,'...',;;;;;;;;;;;;;;;;;;;;;;;;;;;,,;;;;:ox
	ddddddooooooooodddddddooddddddddddddddddddddooddoddddddddddooodoooodddddddddddddddddddddddddddddddddddddddddddl;,''''''....'..'',''''.....'''''''''...''''''.....',,,,,,,,''',,,,,,,,,,''',,,,,,,,,,,''',,;;;,,,,'....'',,,,,,,,'''''',,,,,,;;;;;;;;,,,''''',,,;;;;,,''',;;;;,,......  ....        ..'',:ccllooolc:::ccc:::ccllooddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddollcllccc;,;:clc:;;;;;;:codxxdolc:;:::::;;;,,''',,;;,'',,;;;;;;;;;;;,,,,,,;;;;;;;,,'......'...''''....';;::::;;;;;,,,;;;;;;;;;;;;;,,;;;;:ox
	ddddddddddoooooddddddoooooddddooooddddddooooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddl:,''''.....'''''''''.....''''''''''..'''''''.....',,,,,,,,'''',,,,,,,,,,''',,;;;,,,,,,''',,;;;,,,,'.....',,,,,,''',,,,,,,'',,,,;;;;,,,'''',,,;;;;;;;,'',,,;;;;,,''','.....      ....',,;:looolloooolcccllc::;;;;::cloodddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddolllllcc:;,;:cllc:;;;;;:cldxxdolc:::::::;;;,''',,;,,,'',,;;;;;;;;;;;,,,,,;;;;;;;;;,,''.......'...''''.',;::::;;;;;,,,;;;;;;;;;;;;;,,;;;;:ox
	ddddddddddooooooddddoooooooooooooooooooollloooooollllllooooooooooooooooooooooooooooooooolooodddddddddddddddddol:,''''....'''''''''....'''''''''''....''''''...''',,,,,,,,,''',,,,,,,,,,''',,;;;,,,,,,''',,,,,,,,,''..''',,,,,',,,,;;;;,,,,'',,,;;,,'''',,;;;;;;;;,,,'',;;;;;;,,'',,,,,,''....'''',,,,;;codxddddoool:;;;:cccc::;;,,;;:clodddxxxxddxxxxxxxxxxxxxxxxxxxxxxddollcllcc:;,;:cllc:;;;;;;:ldxxdoc::::::::;;,''',,;;,,,,,,;;;;;;;;;,;;,,',;;;;;;;;;;,,''''.....''.'',''..,;:::;;;;;;,,,;;;;;;;;;;;;;,,,;;;:ox
	ddddddddddooooodddddooooooolcccccccccccccccccccccccccccccccccccccccccccccclllccccccccccc:::clooddddddddddddddoc;,'''....''''''''......''..'''''''...''''''...'''',,,,,,,,,'',,,,,,,,,,,''',,;;;,,,,,,''',,,,,,,,''...'''''',,,,,;;;;;;;;;;,,'',,''''',,,,;;;;;;;,,'',,,;;;;;;,,'',,;;;;;,,''',,;;;;,;;:loxxxxxxdddolc:;;;;ccccc:;,''';:clloddddddxxxxxxxxxxxxdxxxxxxxxxddolllllcc:;,;:lllc;;;;;;;;coxxdl:::::::::;,'',,,;;;,,,,;;;;;;;;;;;,;;,'',;;;;;;;;;;,,,',,,'........'....';;;;;;;;;;,,,,;;;;;;;;;;;;,,,;;;:ox
	ddddddddddooooooddddddoooolccccc::::::::::::::::;::ccccccc:::::;;::cccccccccc:::::;:::::;;;;:clooddddddddddddoc;,''.....''''''....''''''..'''''''..'',''''..''''',,,,,,,,,'',,,,,,,,,,,''',,;;,,,,,,,''',,,,;;;,,'...'''..',,;;;;;;;;;;;;;;;,,''..'',,;;;;;;;;;;,,',,,;;;;;;;,,'',,;;;;;;,,'',,,;;;,;;:lodxxxxxxxxdddoollcccclllcc:;;;;::::clloddddxxxxxxxxxdddxxxxxxxxddolllllcc::;;clllc;;;;;;;;codxdl:;;:::::;;,'',;;;;,,,;;;;;;;;;;;;;;;;,'',;;;;;;;;;;,,,',;;,.........''..';;;;;;;;;;,,,,;;;;;;;;;;;;,,,;;;:ox
	ddddddddddoooooodddddddoollccccc:::::::::::::::;;;:ccccc:::::::;;;::ccccccc::::::;;;::::;,,,;;:clooddddddddddoc;,'......''''''...'''''''..'',,''...'',''...'',''',,,,,,,,''''''''''''''''',,,;;,,,,,,''',,,,,;;;,'...''...',,;;;;;;;;;;;;;;,,,'''''',,,,,,;;;;;;,,',,;;;;;;;;,,'',,;;;;;;,,''',,;;;;;:clddxxxxxxxxxxxxxdddolllllllllllc:;,;;:::cllodddxxxxxxdddxxxxxxxddoolccclccccccclllc;;;;;;;;:ldddl:;:::::;;,'',,;;,,,,,;;;;;;;;;;;;;;;;,'',;;;;;;;;;;,,''';:;,.......','.',;;;;;;;;;;,,,;;;;;;;;;;;;;,,;;;;:ox
	ddddodddddoooooddddddddoolcccccc:::::::::::::::;;;:ccc:::::::::;;;:::::::c:::::::;;;::::;,,,,;;;:clodddddddddoc;'.....''',,''''.''''''....'',,,''..'',''...'',''',,,,,'''...''''''''''..'',,,;,,,,,,,''',,,,,,,,,,'...'''''',,,;;;;;;;;;;;,,'',,,,,,,,,,,,,,,;,,,'',,;;;;;;;;,,'',;;;;;;;;,,'',,;;,,,:lodxxxxxxxxxxxxxxxxxddddooolllllcc:;;;::cclllooooddxxxddxxxxxxxxxdoolccllllllllllllc;;;;;;;;:coddl:;;::::;,'',,;;;,,'',;;;;;;;;;;;;;;,,,,,,;;;;;;;;;;,,''';::;,......'''..',;;;;;;;;;,,,;;;;;;;;;;;;;,,,;;;:ox
	ddooooddoooooddddddddddollcccccc:::::::::::::::;;;::::::::::::::;::c:::::::::::::;;;:c::;,,,,,,,,:cloddddddddoc;'...''''''''''''''''''..'''''''....',,,'''''',''',,,''......'''''',,''...'',,;,,,,,,,,'',,,,,,,,,,'...',,,,''',,,,;;;;;;,,,,,,,;;;;;,,,,,''',,,''',,;;;;;;;;,,,'',;;;;;;;;,,''',,,,',:lddxxxxxxxxxxxxxxxxxxxxxdddoolccc:::;:cloooolllcccloodddxxxxxxxxddollccllllllllllllc:;;;;;;;:clddl:;;::;;,'.',;;;,,,,,,;;;;;;;;;;;;;;,,,,,,;;;;;;;;;;,,''';::;,.....''....',;;::;;;;;,,;;;;;;;;;;;;;;,,,;;;:ox
	ddddddooooooodddoddddddoolccccc::::::::::::::::;;;:::::::::::::::ccc:::::::::::::;;;:c::;,,,,,,,,;cloddddddddoc;'...''''''''''''''','''''',,,''....',,,'..'',,''',,''....'''''''''''''....',,,,,,,,,,,,,,,,,,,,,,''...',,;;,,,',,,,;;;;,,'',,,;;;;;;;;;;,,,,'''.'',,,,,,,,,,,,''',,;;;;,,,,,'''',''',codxxxxxxxxxxxxxxxxxxxxxxxxxxddolcc:;;;:cclllllc:;;;:looodddxxxxxdolllllllllllllllllcc:;;;;;;;:lool:;:::;,'..'',,,'',,;;;;;;;;;;;;;;;;,,,,,;;;;;;;;;;;,,''',;:;,.......'...';;;::;;;;;,,,;;;;;;;;;;;;;,,,;;;:ox
	ddddddddddooddoddddddddoolccc::::::::::::::::::;;;:::::::::::::::ccc:::::::::cc::;;;:c::;,,,,,,,,;cloddddddddoc,'...'''''',,'',,,,,,,,',,,,,;,,''',,,,''..',,,''''''...'''''''''''''''....',,,,,,,,,,,'',,,,,,,,,'....',,;;,,,,,,,,,;,,,'',,;;;;;;;;;;;;;;;,''...',,,,,,,,,''''''',,,,,,,,,'...'',,;:ldxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddoolc:;;;:cclcc:;;;;:clllloodddddolllllllllllllllllcc:;;;;;;;:cool:;::;;,''',,'''..',;;;;;;;;;;;;;;;;,'',;;;;;;;;;;;;,,''',;;,'.......''..';;:;;;;;;;,,,;;;;;;;;;;;;;,,,;;;:ox
	ddddddddddooddoodddddddollccc::::::::::::::::::;;;:::::::::::::::ccc::::ccc:cccc:;;;:c::;,,,,,,,,;cloddddddddoc,'.'',,,,,,,,,,,,,,,,,,,,,,,,;,,,,,;;;;,'..',,,'''.....''''''''''....'''''',,,,,,,,,,,''',,;;,,,,''.'''',,;;;,;,,,'',,,,'',,;;;;;;;;;;;;;;;;,,''',,,,,,,,,,,''....'',,,,,,,''...',,;:lodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddollcccllllcc::::::c::clloooolllllllllllcccllllcc:;;;;;;;:cllc:;;;;,,,,;;,,,,'.',;;;;;;;;;;;;;;;;,'',;;;;;;;;;;;;,,''',;;,.......'''..,;;;;;;;;;;,,;;;;;;;;;;;;;;,,,;;;:ox
	ddddddodddoooooodddddddoolcccccc:::cccc:ccc::::;;;::::::::::::::::c::::ccccccccc:;;;:c::;,,,,,,,,;clodddddddooc,'',''''''''''''''''''''''',,,,,,,,,,,,,'..',,,''.....''''''''''.....'''''',,,,,,,;;,,''',,;;,,''...','',,;;;;;;,,,''''',,,;;;;;;,,,,;;;;,,,,,,,,,;;;;;;;;;;,,''',,,,,,,,,,,,''',,,;coddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddoollcc::ccc;,;;::ccccc:::ccclllcllcc::cclllc::;;;;;;;:ccc::;,'',,;;;;,,,'''',,,;;;;;;;;;;;;;,'',;;;;;;;;;;;;,,''',;,'........'''',;;;;;;;;;;;;;;;;;;;;;;;;;;,,,;;;:ox
	ddddddoooddddddddddddddoooolllcccc:cccc::c:::::;;;:::::::::::::::ccc:::ccccccc:::;;:cc::;,,,,,,,,:coodddddddol:,...'''',,,,,,,,,,,,,''''''''''''''',,''....'''......''''''''''....'',,,''',,,,,,;;;,,''',,,,,,''..',,,'',,;;;;;,,,'..'',,;;;;;,,,,;;;;;;,,''',,;;;;;;;;;;;;,,'',;;;;;;;;;;;,,'',,;:codddddddddddddddddddddddddddddddddddoooddxxxdddoolccc::;;;;;:clllcc::;:::ccccc:,,;clllcc:;;;;;;;::cc:;,,'',,;;;;,,',,,,',,,;;;;;;;;;;;,''',,;;;;;;;;;;,,''.'''............'',;;;;;;;;;;;;;;;;;;;;;;;;;;,,,;;;:ox
	dddddoooooooooooooooooooooooollcccccccc::::::::;;::ccc::::::::::::c:::ccccccc::::;;::c::;,,,,,,,,;clodddddddol;'..'',,,,,,,,,;;;,,,,,,,,,,,,,'''''''''............''''''''''...'',,,,,,''',,,,,,,,,,,''',,,,,'...',,,,,'',,;;;,,,''''''',,,;;;;;;;;;;;;;,,''',;;;;;;;;;;;;;,,'',;;;;;;;;;;;,'..',;:lloooooollooooooooooooooooooooooooolc:;:clddxxxxddddoolcc::;;;:cllllc::;;;;;:;;,'';:clllc:;;;;;;;;:c:;,''',,,;;;;,,,,;;,,,,,,',,,,,,;,,''..',,,,,;,,,,,,,'...........''''..',;;;;;;;;;;;;,;;;;;;;;;;;;;;,,,;;;:ox
	dddddoollllllllllllllllllllllcccccccccc::cccc::;;;:ccccccccc:::::::::cccccccc::::;;:cc::;,,,,,,,,,;clloodddool;'.'',,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,'..........''''''''''''..',,;;;;,,''',,,,,,,,,,,,,,,,,'...''',,;;,,'',,;;,,,'',,,,,,,,,,,,;;;;;;;,,,''',,;;;;;;;;;;;;,,,',,;;;;;;;;;;;,'..',:clllllllllllllllllllllllllllllllllllc:,'',;cloddxxxxxxdddollc::::lllcc:;,,,,,;;,'..';:cccc::;;;;;;;:::;,'',,,;;;;,,,,;;;;;;;,,,,,,,,,,,,''.'',,,,,,,,,,,,''........'''''''',,;;;;;;;;;;;;;,;;;;;;;;;;;;;;,,,;;;:ox
	dddddolcccccccc:::::ccccccccccccccccccc::ccccc:;;;:cccccccc:::::::ccccccccccccc::;;:cc::;,,,,,,,,,,;;:cllooool;'.'',,,,,,,,,,,,,,,''''''''''',,,,,,,,,''''..'''''''''''''....',,;;;;;,,''',,,,,;;;,,,,'''....',,,'',,;,,'',,,;,,,,,,;;;;;,,''',,,;;;;;,''',,,;;;;;;;;;;;;,,'',,,;;;;;;;;;;;,'..,:cllllllllllllllllllllllllllllllllllllc:,'.''';:lddxxxxxxxxddddollllllc::;,,,,;;;,'...',;;::;;;,,,;;;:::;,'',;;;;;,,,,,;;;;;;;;;,,;;,,,,,,''',,,,,,,,,''''''........''''..',;;;;;;;;;;;;;;;;,;;;;;;;;;;;;;;,,,;;;:ox
	dddddolccc:::c::;;::::ccc::::cc::ccccc:::cccc::;;:ccc::ccccc:::::cccccccccc:cccc:;;;:c::;;,,,,,,,,,,,,;::cloll;'.',,,,,,,,;,,;;;;,,,'''''.''''''''',,,''''''''''''''''''....',,;;;;;;,,''',,,,,,,,,,,''....'',,,,''',,,,'''''''',,;;;;;;;;;,,,,,,,,,,,,'',,,;;;;;;;;;;;;;,,',,;;;;;;;;;;;;,,'',:clllllllllllllllllllllllllllllllllllllc:,'.'''',:odxxxxxxxxxxxxddddollcc::;,,,,,''....''',;;;,,,''',,;;;,''',;;;;;,'',;;;;;;;;;;,;;;;;;;;,'''',,,,,'''''..........'''....',;;;;;;;;;;;;;;;;,,,;;;;;;;;;;;;;,,,;;;:ox
	oodddol::::::::;;;::c::::::::cc:::::::ccccc::::;;:cc:::::::;;;;;;:::::::::::cccc:;;;:c:::::;;,,,,,,,,,,,;;:ccc;''',,,,,,,,,,,,,,,,,,,,,,'.''''''''''''''''''''',,''''''....'',,;;;;;,,,'''',,,,,,,'''''...',,,;,,'''''''''''..'',,;;;;;;;;;;;;,,,,,,,'''',,,,,,,,,;;;;;;;,,',,;;;;;;;;;;;,,'',;cllllllllllllllllllllllllllllllllllllllc:,.....'';ldxxxxxxxxxxxxxxxdddolcc:;;,,,'''...',,,;;;;,,,''..''''''',,,,,,,,'',,,,;;;;;;;;;;;,,,,,''...'''''''''''''............'',;;;;;;;;;;;;;;;;;,,,;;;;;;;,;;;;;,,,;;;:ox
	doddoolc:::::::;;;:cccccccc::::::::ccccccc::::;;,;;;,,,'''''''''',,,,,,,,,;;:::::;;::cccccc::;,,,,,,,,,,,,;;:;,'.''''''''''''''''',,,,,,''',,,,,,,,,,,,'',,,''''''''''.....''',,,,,,,''''''''''''''''''''',,;,,,,''..'',,,,'..',,;;;;;;;;;;;;;;;;,,''..',,,,,,,,,,,,,,,,,,'',,;,,,,,,,,,,'''',:cllllllllllllllllllllllllllllllllllllllc:,......';coddxxxxxxxxxxxxxdddolcccccc::;;,'''''',;;;,,,'''.''''...'''''''''..'',,,,,,,,,,,,,,,'''......'',,,,''''','.....''...',;;;::;;;;::;;;::;;;,,,;;;;;;;,;;;;;,,,;;;:ox
	dooooolcc::::::;;;:cccccccccccc::::ccccc::::;,,'''''....'''''''''',''''''''',,;,,,,;::ccccc::;,,''''''''..''''....''',,,,,''''''''',,,,'..''',,,,,,,,,,'',,,,'''''''''''''''''...''''..........''''..''',,,,,,,,,'...',,;;;,''',,;;;;;;;;;;;;;;;;,,'''',,,;,,,,,,,,,,,''''''',,,''',,,,''...';:cllllllllllllllllllllllllllllllllllllllc:;,,,,''',:clodxxxxxxxxxxxxxddolcclllllccc::;;,'',,;;;,''..'''.....''''''.....'''''......''''''.........',,,''''''','.....'',,;;;:::;;;;;;::::::;;;;;,,;;;;;;;;;;;;;,,,;;;:ox
	dodooolccccccc:;;;:ccccccccccccc:cccc:::;,,,'''''.....'''''',,,,,,,,,,,,,,,,,,''...'',;;::;;,''''...''''''''''...'',,,,,,,,,,,,,,,,,,,''...''''''''''''''''''''''''''''',,,,,,''''''',,,,''''''''....',,,,,,,,,,'....',,;;;;,,'',,;;;;;;;;;;;;;;,,,'',,,;;;;;;;;;,,,,,,''...'',,,,,,,,,,,''',;clllllllllllllllllllllllllllllllllllllllllcccccc;,'',:coddxxxxxdxxxxxddolclllllllllllcccc:::;;,,'....''.....''''''...''''''''''..''''''.......'''''''''''.........,;;;;;:::::;;;,;;;::;;;;;;;,,,;;;;;;;;;;;;;,,,;;;:ox
	oodooolccccccc:;;;:cc::::ccccccc::::;;,,''''''''''.'''',,,,,,,,,,,,,,,,,,;;,,,,'...'''''''''''''''''',,,,,,''....'',,,,,,,,,;,,,,;;;;,,'''',,,,,,,,,,,,,,,'''''''..''',,,,;;;,,,,,,,,,,,,,,,''''''..'',,,;;,,,''''''''',,;;;;,,'''',;;;;;;,,,,,,,''',,,;;;;;;;;;;;;;;;;,'''',,,;;;;;,,;;:;,,;:clllllllllllllllllllllllllllllllllllllllllllllll:,'''',:cloddxxxxxxxxddolcclllllllllllllllcccc:;,'............''.....''''''''''''''''''''''.....''',,'''''''''...',;:::::;:::;;;;;;;:;;;;;;;;,,,;;;;;;;;;;;;;,,,;;;:ox
	oodooolccccccc:;;;::::::::ccccc:;;;,''''',,,,''''''',,,,,,,,,,''',,,,,,,,,,,,,'''',,,,'''''.''''''''',,,,,''.....'''''''''',,,,,,,,,,,,'''',,,;;;;;;;;,,,,,,,,,''..'',,,,,,,,,,,,,,,,,,,,,,,''',,,''''',,,,'''',,,,,,,,,,,,;;,''..',,;;;;;,,;,,,''',,,;;;;;;;;;;;;;;;;;,'',,;;;;;;;;,,;:cc;,;:cclllllllllllllllllllllllllllllllllllllllllllllc:,''.'''';:loddxxxxxddollclllllllllllllllllllllc:;,,,'....''.........'''''''''''''''''''''.....''',,,,,,,,,,,,''',;;::::;;:::::;;;;;;;;;;;;;;,,,;;;;;;;;;;;;;,,,;;;:ox
	odddoolc::cccc:;;;:::::::ccccc:;,'''''',,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,''''''''''''.....'',,,,,,,,,,,,,,,,,'''''...'',,,,,,,,,,,,,,,,,'''..',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''','''',,;;;;,,;,,',,,,,''',''',,,;;,,;,,,',,;;;;;;;;;;;;;;;;;;;,,'',,;;;;;;;;;;:ccc:;:ccllllllllllllllllllllllllllllllllllllllllllllllc:,''''....';coddxxxxddolllllllllllllllllcllllllc:;;;;,'..',,,,''.....'''''''''''''''''''......',,,,,,,,;;;;;,'''',;;::::;;:::;;;;,;;;;;;;;;;;,,,,;;;;;;;;;;;;,,,;;;:ox
	ddddoolc::cccc:;;;::::::ccc::;,'..'',,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,''''........'',,;;;,,,,,,,,;;;;;,,''''....'',,,,,,''''''''''''..',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''..'''',,,;;;;,,;;,,'',,'',,,,,,''',,,,,,,,,,,;;;;;;;;;;;;;;;;;;;,,'',,;;;;;;,;;::clllcccllllllllllllllllllllllllllllllllllllllllllllllllc:,'''..''.',:lddxxxxddoolllllllllllcc:::cclllllc::;;,,''',,;;;;,'....''',,,,,,,,,,,,,,,,,,,'.',;;;;;;;;;;;;;,'..',;;::::;;::;;;;,;;;;;;;;;;;;,,,;;;;;;;;;;;;;,,,;;;:ox
	dddoolcc::cccc::;::cccccc:;,'....',,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,;,,''',,,,,,,,,,,,,,,,,,,,,,,,''.......'',,,,,,,,,,,,,,,,,,,,''',''..'',,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'....',,,,,,,,,,,;;,,'''''',;;;;,,,'''',,''',,;;;;;;;;;;;;;;;;;;;;,'',,;;;;,,;;::cclllllllllllllllllllllllllllllllllllllllllllllllllllllllc:,'''''''.',:lddxxxxddolllllllllllcc;,,;:clllllcc::;,''',,;;;;;,,'',''',,,;;;;;;;;;;;;;;,,'..',;;;;;;;;;;;;;,'..',;;:::::::::;;;;;;;;;;:::;;,,,,;;;;;;;;;;;;;,,,;;;:ox
	oooolcccc::cc:::::cccc::;,.....'',,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,''',,;;,,,,,,,,,,,,,,,,,,,,,,''',,'..'''''''''''''''''''''''''''....',,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,'''....'',,,,,,,,,,;;,,''..'',,,;;;;;,,'''...',;;;;;;;;;;;;;;;;;;;;,,'',;;,,,,;;:cllllllllllllllllcccccccllllllllllllllllllllllllllllllllllll:,'........,:ldxxxxxddolllllllllllcc;,';:cllllllc::;,'',,;;;;;;,,,,,,,'',,,,;;;;;;;;;;;,,'...',;;;;;;;;;;;;;,'..,;;:::::::::::;;;;;;;;;;::;;;,,,;;;::;;;;;;;;,,,;;;:ox
	lloollccc:::::::::cc:;,'......',,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,;,,,,,''',,'..'''''',,,,,,,,,,,,,,''''''.....',,,',,,,''',,,''.'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,'''',,,,,,,,;,,,'''''''',,;;;;;,,'....',,,,;;;;;;;;;;;;;;;;,,''',,;,,,,;:cllllllllccccc:::::;;;;;;:::ccccccccllllllllllllllllllllllllc:,.........':lddxxxxddolllllllllllcc;,';:clllllllc:;,'',;;;;;;;;,,,;;,,,,',,,;;,,,,,,,,,'....',;;;;;;;;;;;;,,'..,;;;;::::::::::;;;;;;;;;::;;;,,,;::::;;;;;;;;,,,;;;:ox
	;cloolcc:::::::::::;,'.......'',,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,''''',,''''',,,,,,,,,,,,,,,,,,,,,,,,'''''',,,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,;;;;,,''',,,,,,,,,,'',,,,,,,,,,,,;,,'''''''''',,,,;,,,;;;;;;;;,,'''',,,;;:::cccccc:::;;;;;;,,,,,,,,,,,,,,,;;;;;;;;;::ccclllllllllllllllllc;'.........':lddxxxxddolllllllllllcc;,';:clllllllc:,,',,;;;;;;,,,;;;;;;,,,,,,,,''''''',,'..',,,,,,,,,,,,;;,'...',;;;;;:::::::::;;;;;;;;;::;;,,,,;::::;;;;;;;;,,,;;;:ox
	';:cllcc:::::::::;,'.........',,,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,''',,,,,,,,;,,,,,,,;;;;;,,,,''',,,;;,,,,,,,,'''',,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,'''',,,,,,,'',,,;;;,,,,,,,,,,''',,,,,,,'''''''',,,,,,,,,,'...',;;::c:::;;;,,,,,,,,,;,,,,,,,,,,;;,,,,,,;,,;;,,,,;;;:::ccclllllllllllc:'.........,:lddxxxxdoolllllllllllcc;,';:ccllllllc:,''',;;;;;,,,,;;;;;;;;;;;;,,,,,,,,,,,,''',;;;;,,,,'',,,''..',,;;;;;::::::::;;;;;;;;;;::;;;,,,;::::;;;;;;;;,,,;;;:ox
	'',;:ccc::::::::;,...........,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,''''',,,,'''''',,,,,,,,,,,,,,;,,,,,'''',,,,,,,,,,,''''',,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,'',,,,;;;,,,,;;,,''''',,;;;;;,,,,''.'''''''''''.....',,;,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,;;;:::ccclllllllc:'.........,:lddxxxxdoolllllllllllcc:,,;cccllllllc;'...,,;;;;,,,,;;;;;;;;;;;;;;;;;;;;;;,,'',,;;;;,,,,,,,,,,'..',,;;;;;::::;::;;;,;;;;;;;::;;;,,;;::::;;;;;;;;,,,;;;:ox
	'',,,;:::::::::;,'..........',,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,'''',,;;,,,,,,,,,,,,,,,,,,,,,,''',,,,,'''''',,,,'',,,,,,,,'''''''',,,,''''......'',,,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,,,''',,;,,,,,,,,;;,,'...'',,,,;;;;;,,''',,,,,,,,''....'',,,'.'',,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,;;;;;;::ccclllc;'.........,:lddxxxddolllllllllllllcc::ccllllccccc;'..'',,;;;,,,,;;;;;;;;;;;;;;;;;;;;;,,''',;;;;;;;;;;;;;;,'.',;;;;;:::;;;::;;;;,;;;;;;;;;;;;,,;;::::;;;;;;;;,,,;;;:ox
	,,,,,,;::::::::;'...........',,,,,,,,,,,,,',''',,,,,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,''''''',,,,,,,'''''''''''''''...............',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''','''',,;;,,,,,,,,;;,,''.''''',,,,,,,,'',,;;;;,,,,,,'''',,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,;,;;;;;;;;;,,,;;;:ccc;'.........,:loddoooolccccccccccccccccccccccccccc:,'',,'',,,,,,,;;;;;;;;;;;;;;;;;;;;;;,,',,,;;;;;;;;;;;;;,,''',;;;;;:::;::::;;;;,;;;;;;;;;;;;,,;;::;;;;;;;;;;,,,;;;:ox
	,,,,,,;::::::::,'...........',,,',,,,,,'',,,'''''',,,,,,,'''',,,,,,,,,,''''''',,,,,,,,,,,,,,,,,,,,,,'','''''',,,,,''''.'',,'''''''''''''.....................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'...''',,,,;;;,,,,,;;;,,''',,,''''',,,''''',,,,,,,,,,'..',,;;;;;;;;;;;;;;;;;;;;;;,,,,,;;;;;;,,,,,,,;;;;;;;;;;;;;;;;;;;;;,,,,,,;;;;,'.........';::::::::;;;;;;;;;;;;;;;;;;;;;:::::::;,'',,,,''''',;;;;;;;,,,,;;;;;;;;;;;;,'',,;;;;;;;;;;;;;,,''',;;;;;;::::::::;;;;,;;:::::;;;;;;;;;::;;;;,;;;;;;,;;;;:ox
	,,,,,,;::::::::,'............''''''''''''''''''....'''''''''''''''''''''''''''''''''''''',,,,,,,,,''''''''...''''''''...'''''''''''''..........................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,'.....''''',,,,,,,,,,,,,''',,;,,,,,,,,'...'''',,,,,,,'...'',;;;;;;;;;;;;;;;;;;;;;;,,,,,,;;;,,,,,,,;;,;;;,,,,,;;;;;;;;;;,,,,,,,,,,'............''''''''',,,,,,,,,,,,,,,,,''''''',,,,,,''',;;,,'...',,;;;;;;,,;;;;;;;;;;;;,,'',;;;;;;;;;;;;;;,''',;;;;;;;:::;;:::;;;,,;;;;;;;;;;;;;;;;:;;;;;,;;;;;;,;;;;:ox
	,,,,',;::::::::,'............''''''''''''''''''''...'''''''''''''''''''''''''..'''''''''',,,,,,'''''''''',''.....''''''',,,'''...................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''',,,''''',,,,;;,,,'',,,;;;,,,;;,,'''',,,,,,,;;;;,'..'',,;;;;,;;;,,,;;;;;;;;,,,,;;;;;;;;,,,,,;;;;;;;;,,;;;;;;;;;;;;;;;;;;,,,,'...''',,,,,,,,,,,,,,,,,,,;;;;;;;;,,,,,,,,,,,,,,,'''..',;;,'.....',,,;;;;;;,,;;;;;;;;;,,''',;;;;;;;;;;;;;,,..',;;;;;;::::;;::::;;;,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,;;;:ox
	,,,''';::::::::,'............''''',,,,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''',,,,''''''.......................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,''',,,;,,'',,;;;;,,,,;;,,'',,,;;,;;;;;;;,'..',,,,,,,,,,,,,,;;;;;;;,,,,,,;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;,,,,,,,,,;;,,'..'''''',,,,,;;;;;;;;;;;;;,'',,,;;;;;;;;;;;;,,''',;:;;;;;;;:::;;::;;;;,,;;;;;;;;;;;;,;;;;;;;;;;;;;;,,,;;;:ox
	,,,''',;:::::::;,............''',,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,'''',,;,,,,,,,,,,,,,,,;;,,,,,,,,,,,,'''''................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,,,,''',,,,'',,;;;;,,,,,;;,,',,;;,,,;;;;;;;,'..',,,;;,;;;;;,,;;;;;,,,,,,,,,,;;;;;,,,,,,''''''''''''''''''''',,,,,,,,,,,,,,,,,,'''''''''''''''''''''''''''''''',,,,,;;;;,;;;;;;;,,'''',,,,,,''''',,,,;;;;;;;;,,'',;;;;;;;;;;;;;,,''',;;;;;;;;;;;:::;::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,;;;;:ox
	,,,,',;::cc:::::;'...........''',,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,'''',;;,,,,,,,,,,,,,,,,,,,,,,,,''''''''...................................................',;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,;,,,,,,,,,,,''.'''',,,;;,,,;;;;,,,,,,,;,,,,,,,;;;;,'.',,;;;;;;;;;;;;;;;,,,,,,,,,,,,,,'''''''''''''''',,'',''''''''''''''''''''''''''''''''''''''''''''''',''''''''''''''''',,,'',,,,,,,''',,,,,,,,,'''''''',,,,;;;,,,',,;;;;;;;;;;;;,,'..,;;:;;;,;;;;:::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:ox
	,,,,,,;:ccc::::::;,'..........''',,'',,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,''',;;,,,,,,,;,,,,,,,,,,,'''''''''''.....................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'....',,,,,,;;;;;;,,',,,;;;,,,,,,,,,,,'.',;;;;;;;;;;;,;,,,,,,,,;;,,,''''''''''',,''',,,,,,,,,,,,,'',,''''''''''''''''''',,,,'',''',,,,,,,,,,,,,,,'',,,,''''''',,''''',,,''..',,,,,,,,,,,,'''''''''''''''',,;;;;;,;;;,,''...',;::;;,,;;;::::::::;;;;,;;;;;;;;;;;;,,,;;;;;;,,,;;;;;;;;;;:ox
	,,,,,,;:ccccc::::::;,'.........'',,,,,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,''''''''''''''''..........................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,...'',,,,,,,;;;;;,'',,;;;;;;,,,,,,,,'..',;;;;;;;;;;,,,,,,,,,,,,,''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''.''',,,,,,,,,,,,,,,,''''''''...''''''''''',''....',;;::;;;,;;;::;;::::;;;;,;;;;;;;;;;;;,,,;;;;;;;;;;;;;;;;;;;:ox
	,,''',;:::ccc::::::::;,'........'',,,,,,,,,,',,,'''',,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''''''''''''''''''..............................................................',,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.',,,,,,,,,,,,,,,'',,;;,,,,,,,,,,,,'..',;;;;;;;;;;,,,,,,,;;;,''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,'''''''''''''''''''''...',;;;;:;;;,;;;:::;::::;;;;,;;;;;;;;;;;;;,;;;;;;;,,;;;;;;;;;;;:ox
	''''',;:::cc::;:::::::::;,'.......'',,,,,,,,,,,''''''',,,,,,,,,,,,,,,,,,,''''''''...''''''''',,''''''..................................................................',,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,''''',,,,,,,,,,,,;;;;,'.',;;;;;;;;,,,,,,,;;;,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''...',,;;;;;;;;,;;;:::::::::::;;;;::c:::::::;;;::::::;;,,,,;;;;;;;:ox
	''''',;:::cc::;:::::::cc::;,'......''',,,,,,,,'',,,,''''',,,,,,,,,'''''''''''..'''''''''''''',,''.......................................................................',,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,,,'...'',,,,,;;;;;;;;;;,,'',;;;;,,,,,,,,,,;;,,,'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'....',;;;;;;;;;;,;;;::;::cccccccccccccccccccccccccccccc:;,'',,;;;;;:ox
	'''',,;::::::;;;:::::::c::::;,'......'''',,,,,,,,,,,,'''..'''''''''''''''''''',,,,,,,'''.................................................................................',,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,;,,'...',,,,,,;;;;;;;;;;,,',,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''...',;;;;;;::;;;,;;;::::::cccccccccccccccccccccccccccccc;,''',,;;;;:ox
	,,,,,,;::::::;;;::::::::::::::;;,'....''''''','''',,,'''''''....''',,,,'',,,,,,,,,,,'''...................................................................................,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,;;,''',,,;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,,,,,,,,,,,,,,,''...'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'...'',,;;;::::;;;;,;;;::::::ccccc::::ccc:::::ccccccccccccc;,'..'',,;;:ox
	''''',;::::::;;;:::::::::::::::::;;,,,''.....'''''''''''''''''''''',,,,,,,,,,,,,'''.......................................................................................,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,'',,;;;;;;,,,,,,,;;;;;;;;;,,,,,,,,;;;;,,'''',,,,,,,,,,,,,,,,,,,,,,,,,''..''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''..',,,;;;;::;::;;;,;;;::::::ccccc:;;:ccc::::::cccccccccccc;,......',,:ox
	'',,',;::::::;;;::::::::::::::::::::::;;,'....''''',,,,,,,,,,,,''''''',,,,,,''............................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',;;;;;,,,,,,,,,,,,,;;;;;;;,,,,;;;;;,,'.'',,,,,,,,,,,,,,,,,,,,,,'''...'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'...',;;,,;;;::;::;;;,;;;:::::cccccc:;;:ccccc::::cccccccccccc;,........';ox
	,,,'',;::::::;;;::::::::::::::::::cccccc:;,''''''''',,,,,,,,,,,,,''''.'''''''.............................................................................................',;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,'',;;;;;;,,,,,,,,,,,,,,;;;;;;,;;;;;;,''.'',,,,,,,,,,,,,,,,,,,,,,''...'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''...',;;,,,;;;:::::;;;,;;;::::::ccclcc:::ccccccccccccccccccccc;,.........;lx
	''',',;::::::;;;:::::::::::::::::ccc::cccc:;;,,''''''',,,,,,,,'''''....'',,,,,,,,,,,'',,,,'...............................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,;,,'',;;;;;;,,,,,,,,,,,,,;;;;;;;;;;;;;;,'..',,,,,,,,,,,,,,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''....',;;;,,,;;;;::::;;;,;;;::::::cclllcccccccccllcccccccccccccc;'.........;lx
	.'''',;::::::;;;:::::::::::::;;::::::::::::::::;;,,,,''''''''''''',,,,,;::c::::;;;:::::::;,'..............................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,,,,'',;;;;,,,,,,,,,,,,,,,,;;;;;;;;;;;;,,'.',,,,,,,,,,,,,,,,,,,,,''.''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'.....',;;;;,,,;;;;;:::;;,,;;;;;;::ccllcccccccccccccccccccccccccc:;'.........;lx
	...'',;::::::;;;:::::::::::::;;;:::::::::::;;:::::::::;,,,,,''',;;:::::cccc:cc:;;::::cc::;'...............................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',;;;;,,,,,,,,,,,,,,,,,,;;;;;;;;;,,'''',,,,,,,,,,,,'''',,,''..'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''....',;;;;;;,;;;;:::::;;;,;;;;;;;:cccccccccccccc:ccccccccccccccc:;..........;lx
	...'',;:ccc::;;;:::::::::::::;;::::::::::::;;::::::ccc::::::;;;;::cc:::::::::::;;;::::::;,'...............................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',;;;,,,,,,,,,,,,,,,,,,,,;;;;;;;;,''''',,,,,,,,,,,''..'''''.'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''....,;;;;;;;,,;;;::::;;;;,;;;;;;;::ccccc::::ccc:::::cccccccccccc:,..........;lx
	...'',;:ccc::;;;:::::::::::::::::::::::::::;;::::::::ccc:::::::::::::::::::::::;;::::::;'.................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'.'',,,,,,,,,,,''.......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..',;;;;;;;,,;;;;::::;;;;,;;;:;;:::ccccc:;;:cccc::::cccccccccccc:,..........;lx
	...'',;:cccc:;;;::::::::::::::::::::::::::;;;::::::::::::::::;;:::::::::ccc::::;;::::::;'.................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,;,,,'..',,,,,,,,,,,''.......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''...,;;;;;;;;;,,;;;::::;;;;,;;;::::::cccccc::ccccccccccccccccccccc:,..........,lx
	...'',;:ccc::;;;::::::::::::::;:::::::::::;;;::::::::::::::::;;:::::::::ccc:cc:;;::::::,'.................................................................................',;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,;,,'...',,,,,,,,,,''.......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''''''...',;;;;;;;;;;,,;;;::;;;;;;;;;;::::::cccclcccccccccccccccccccccccc:;'.........,lx
	''''',;:ccc::;;;:::::::::::::;;:::::::::::;;;::::::::::::::::;;::::::::::c::c::;;;:c::,'..................................................................................,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,,,,,,,,,,,,,,;;,,,,;,,'..'',,,,,,,,,'''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''..............',,;;;;;;;;;;;,,;;;:::;;;;;,;;;;:::::ccccccccccccccccccccccccccccc:;,.........,lx
	''''',;::::::;;;:::::::::::::;::::::::::::;;;::::::::::::::::;;::::::::::::::::;;;:c:;'...................................................................................,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,;;;;;;;;;;;;;;;,,,,;,,'''',,,,,,,,,''.....''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''...........'''''''',,;;;;;;;;;;;;;,,;;;:::::;;;;;;;;:::::ccccc:::ccc::::ccccccccccccccc;,.........,lx
	...'',;::::::;;;:::::::::::;;:::::::::::::;;;::::::::::::::::;;::::::::::::::::;;::c:;...................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,;;,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;,,,,,,,,,;;;;;;;;;;;;;;;;;,,;,,'',,,,,,,,,,,'.....'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''....''''''''',,,,,,,,;;;,,;;;;;;;;;;::;;;,;;;;:::;;;;;,;;;:::::ccccc::::c::;;;:cccccccccccccc;,.........,lx
	...'',;::::::;;;:::::::::::;;:::::::::::::;;;::::::::::::::::;;::::::::::::::::;;::::,..................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,;;;,,,,,,;;;;,,,,,,;;,,,,,,,,;;;,,;;;;;;;;;;;;;;;;;;;;,,''',,,,,,,,,,''....'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''.........''',,,;;;;;;;;;;;;;;;;;;,,;;;;;;;;::::;;;,;;;;:::;;;;;;;;;;;:::ccclcc::cccc::::cccccccccccccc;,.........,lx
	...'',;::::::;;;:::::::::::;;:::::::::::::;;;::::::::::::::::;;::::::::::::::::;;::;,'.................................................................................',,,,,,,,,,,,,,,,,,,,,'''''''''........',,,;;;;;;;;;;;;;;;;,,,,,,,,;;;;;,;;;;;;;;;;;;;;;;;;;;;;;;;,,'''',,,,,,,,,''....'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''...............',,;;;;;;;;;;;;;;;;;;::;;,,,;;;;;;;::::;;;,;;;;:::::;;;,;;;;;;:ccllccc::cccccccccccccccccccccc;,.........,lx
	...'',;::::::;;;:::::::::::;;:::::::::::::;;;::::::::::::::::;;::::::::::::::c:;;::;,..................................................................................',,;,,,,,,,,,,,,,,,,,,''''',,,''''''.....'',,,;,,,,,,,,;;;;,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;,'''',,,,,,,,,''...''',,,,''''.'''''''''''''..''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''......................',;;;;;;;;;;;,;;;;;;;;::;;,,,;;;;;;;::::;;;,;;;:::::::;;,,;;;;::cclcccc:ccccc:ccccccccccccccccc;,.........,lx
	...'',;::::;;;;;:::::::::::;;:::::::::::::;;;::::::::::::::::;;::::::::::::::::;;::;,.................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.....',,,'......',,,,,,,,,,'..........',,;;;;;;;;;;;;;;;;;,,'..',,,,,,,,''.......'''''''''',,,,,,,,,,,,'''''''''''.''''''''''',,,'',,,,,,,,,,,,,''.......................................',,;;;;;;;;;;,;;;;;;;;::;;,,;;;;;;;;;:::;;;,;;;:::::::;;,;;;;:::cclcccc:ccc::;;::cccccccccccccc;,.........,lx
	...'',;:cc:;;;:::::::::::::;;:::::::::::::;;;::::::::::::::::;;::::::::::::::::;;::;,................................................................................',,,,,,,,,,,,,,,,,,,,,,,,,'''''''''',,,,,''........      ..'',,''................'',,,,;;;;;;;;;;;,,'...',,,,,,,'.......'',,;;::::::ccccccc:::::::::::::;,'',,,,,,,,'''''''''''''.................................................',;;;;;;;;;;;,;;;:;;;:::;;,,;;;;;;;;;;::;;;,;;;:::::;;;,,;;;;:::cclccc:::ccc:;;;:cccccccccccccc;,.........,lx
	...'',;:cc:;;::::::::::::::;;:::::::::::::;;;::::::::::::::::;;::::::::::::::::;;::;,...............................................................................',,,,,,,,,,,,,,,,,,,,''''..............',,,,'..             ...............''''''....'',,;;;;;;;;;;,'..'',,,,,,,''..'',,;;::cccllllllllllllllllllllllllllc:;;;:::cc:::;;;;;;;;;;;,'................................................',;;;;;;;;;;;,;;;:::::::;;,,;;;;;;;;;;::;;;,;;;:::::;;;,,;;;;;;:cccccc:::cccc:;;:cccccccccccccc;,.........;lx
	...'',;:cc:;;::::::::::::::;;:::::::::::::;;;::::::::::::::::;;::::::::::::::::;;::;,'.............................................................................',,,,,,,,,,,,,,,,'''''''.'''''''...........'','..               .....'''',,,,,,,,,,'''''',,;;;;;;;;;,'.'',,,,,,,''..';::ccccccclccllllllllllllllllcclllllllc::cccllllllccccccccccc:;,...............................................',,;;;;;;;;;;,;;;;::::;;;;,,,;;;;;;;;;::;;;,;;;::;;;;;;;,;;;;;::::cccc:::cccc::::cccccccccccccc;,.........;lx
	...'',;::::;;;:::::::::::::;;:::::::::::::;;;::::::::::::::::;;::::::::::::::::;;::;,.............................................................................',,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,''........'..             ...'',,,,,''''....',,,,,,,,,,;;;,,,,,,'..',,,,,,,,'..';:ccclllcccccclllllllllllllllcccllllllllccllllllllllccccllccccc:,...............................................',,;;;;;;;;;;,;;;:;;;;;;;,,,,;;;;;;;;;::;;,,;;;;;;;;;;;;;;;;;::::cccccccccccccccccccccccccccccc;,'........;lx
	...'',;::::;,,;;:::::::::::;;:::::::::::::;;;::::::::::::::::;;::::::::::::::::;;::;'............................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''','''''.......             ..'''''''............'',,,,,,,,,,,,;,,'''',,,,,,,,''',;:cclllllllllllllllllllllllllllllllllllllllllllllllllccccccccccc:,...............................................',;;;;;;;;;;;,;;;;;;;;;;;,,,;;;;;;;;;:::;;;;;;;;;;;;;;;;;;;::::::ccccc:::cc:::::ccccccccccccccc:,'........;lx
	...'',;::::;;;;::::::::::::;;:::::::::::::;;;::::::::::::::::;;::::::::::::::::;;::;'...........................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,'''..............''...               .......................',,;;;,,,,,,,,'''',,,,,,,,'.',;:ccccccllllllllllllllllllllcccccccccccccccclllllcccccccccccccccc:,...............................................',;;;;;;;;;;;,;;;;;;;;;;;,,,;;;;;;;;;;::;;;;;;;;;;;;;;;;;;;::::::ccccc:;;::::;;::cccccccccccccc:,'........,lx
	...'',;::::;;;:::::::::::::;;:::::::::::::;;;::::::::::::::::;;::::::::::::::::;;::;'..........................................................................',,,,,,,,,,,,,,,,,,,,,,''''.......................                ......''',,,,,,,,,''..'',,,;;;,,,,,,'.'',,,,,,,'..,;ccccccccllllllllllllllllllcccccccccccccccccclllllccccccccccccccc:;'...............................................',,;;;;;;;;;,,;;;;;;;;;;;,,,;;;;;;;;;;::;;,;;;;;;;;;;;;;;;;;;:::::cccc:;;:cc::;::cccccccccccccc:,'........,lx
	...'',;::::;;::::::::::::::;;::::::::::::::;;::::::::::::::::;;:::::::::::::::;;;::;'.........................................................................',,,,,,,,,,,,,,,,,,,,'''.......''.................              ....''''''''''',,,;;;,,,,'',,,,;;,;;,,'''',,,,,,'''',;cccccccccccllllllllllllllllcccccccllllllllllllllllcccccccccccccccc:,...............................................',,;;;;;;;;;,,;;;;;;;;;;;;,;;;;;;;;;;;;;;;,;;;;;;;;;;;;;;;;;::::::cccc::::ccc:::ccccccccccccccc:;,........,lx
	...'',;::::;;::::::::::::::;;::::::::::::::::::::::::::::::::;;::::::::::::;;:::::;'........................................................................',,,,,,,,,,,,,,,,,,,,'''''''',,,,,,,,,,,,,,,,,,,,'...            ..''''.''.........'',,;;;;,,,,,,,,,,,,'..',,,,,''..',:cccccccclcccllllllllllllllllccccccclllllllllllllllcccccccccccccccc:;,...............................................',;;;;;;;;;;;,;;;;;;;;;;;;,,;;;;;;;;;;;;;,,;;;;;;;;;;;;,;;;:::::::ccccc:::ccccccccccccccccccccc:;,........,lx
	...'',;::::;;::::::::::::::;;::::::::::::::::::::::::::::::::;;::::::::::::;;::;;,.........................................................................',,;,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;,,,,,,,,,,,,,,..          .....................',,;;;;;,,,,,,;,,'..',,,,,''..';:cccccccclllcclllllllllllllllllcccccclllllllllllllllllllllcccccccccc:;'...............................................',;;;;;;;;;;;;;;;;;;;;;;;;,,;;;;;;;;;;;;;,,;;;;;;;;;;;;,,;;;;;;;::ccccccccccccccccccccccccccccc:;,........,lx
	.'''',;::::;;::::::::::::::;;:::::::::::;;;::cc::::::::::::::;;:::::::::::::;;,...........................................................................',,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,'..       .......''''',,,,,,'''...',,;;;;,,,,,,;,'..'',,,,'''',;:cccccccccllllllllllllllllllc:::cccclllllllllllllllllllllllllllcccccc:;'...............................................',;;;;;;;;;;;,;;;;;;;;;;;,,,;;;;;;;;;;;;;,,;;;;;;;;;;;;,,;;;;;;;::cc:::::cc:::::ccccccccccccccc:;,........;lx
	.'''',;::::;;::::::::::::::;;:::::::::::;;;::cc:::::::::::c::;;:::::::::::;,'............................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'....      ...'',,,,,;;;;;;;;;;;,,,'.'',,;;;;;,,,,,'...',,,''.',;:ccccccccccccllllllllllllllllc:;,,;clllllllllllllllllllllllllllllllcccc:;'...............................................',;;;;;;;;;;;,;;;;;;;;;;;;,;;;;;;;;;;;;;;,,;;;;;;;;;;;;,,;;;;;;;::cc::;;;::::;;::cccccccccccccc:;,........,lx
	..''',;:c::;;:::::::::::::;;;:::::::::::;;;::c::::::::::ccc::;;:::::::;;;;'...........................................................................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'...          .',,;;;,,;;,,,,,,,,,,,,,,,''',;;;;;;;;,''..',,,''.',;ccccllccccccccclllllllllllllllc:,,,;:cllllllllllllllllllllllllllllllcccc:;'...............................................',;;;;;;;;;;;;;;;;;;;;;;;;,,;;;;;;;;;;;;;,,;;;;;;;;;;;;,,;;;;;;;:cccc::;;:cc:::::cccccccccccccc:;,'.......,lx
	'''',,;:c::;;::ccc::::::::;;;::::::::::::;:::cc::::::::::::;;;;;::;;,,''''............................................................................,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'...             .',;;;;,,,,,,,,,,,,,,,,,;,,,,,,,;;;;,,'''''',,''',;ccllccllccccccccllllllllllllllllc:,,,;:clllllllcccccccccccclllllllllllcccc:;'...............................................',;;;;;;;;;;,,;;;;;;;;;;;;,,,,;;;;;;;;;;;,,,;;;;;;;;;;;,,;;;;;;;::cccc::::ccc::cccccccccccccccc:;,........,lx
	'',,,,;:c::;;::ccc:::::::::;;:::::::::::::::::::;;;;;,,,''''''''''''.'''''..........................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..                ..,;;;;,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,'..''''''',;:cclllllccccccccclllllllllllllllllc:;,,;:clllllcccccccccccccclllllllllllcccc:;'................................................,;;:::::;;;,,;;;;:;;;;;;;,,,,;;;;;;;;;;;;,,,;;;;;;;;;;,,;;;;;;;::ccccccccccccccccccccccccccccc:;,........;lx
	''',,,;:c::;;::::::::::::::;;:::::::::::;;;;,,''....''...........'''''',,'.........................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,...                   .,;;;;,,,,,,,,,,,,,,,,,,,,;,,,,,,,,'...'''''',;cccccccllccccccccccllllllllllllllllc:;;,;:clllllllcccccccccccclllllllllllcccc:;'...............................................',;;:;;:;;;;,,;;;;:;;;;;;;,,,,;;;;;;;;;;;;,,,;;;;;;;;;;,,;;;;;;;::ccccc:ccccccccccccccccccccccc:;,........;lx
	''''',;:c::;;::::::::::c:::;;:::::::;;,''...........''''''......'',,,,,,,'........................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..                    ..,;;,,,,,,,,,,,,,,,,,,,,,,,,,,;,,''....'..',;:cclccccccccccccccccclllllllllllllllcccc:::cclclllllcccccccccccclllllllllllcccc:;'...............................................',;;;;;;;;;,,,,;;;;;;;;;;;,,,,;;;;;;;;;;;;,,,;;;;;;;;;;,,;;;;;;;:ccc::;;::ccccccccccccccccccccc:;,........;lx
	,'''',;:c::;;::::::::::::;;:::::;,'''..........'''''''''''.....'',,,,,,,,,'.....................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,..                      .',,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,'''.....',;:cccccccccccccccccccccclllllllllllllllcccccccllcccllllccccccccccccllllllllllllccc:;'...............................................',;;;;;;;;;,,,,;;;;;;;;;;;,,,,;;;;;;;;;;;;,,,;;;;;;;;;;,,;;;;;;;::cc::;;;:ccccccccccccccccccccc:;,........;lx
	,'''',;:c::;;::::::ccc:::;,,,,,''.......'''''''''''''''''.....''',,,,,,,,,'...................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'.                      ..',,,,,,,,,,,,,,,,,,,,,,,,,,;,,,'''....',;:ccccccccccccccccccccccccllllllllllllllcccclllllccccllllccccccccccccllllllllccccccc:,'...............................................',;;;;;;;;;,,,,;;;;;;;;;;;,,,,;;;;;;;;;;;;,,,;;;;;;;;;;,,;;;;;;;::ccc::;;:ccccccccccccccccccccc:;,........,lx
	,'''',;:c::;;:::::::::::;,'...........''''''''''''''''''......',,,,,,,,,,,'.................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..                      .',,,,,,,,,,,,,,,,,,,,,,,,,,,,,'.....'',;:ccccccccccccccccccccccccccccccclllllccccccccclccccccccllllccccccccclllllllcccccccccc;,'...............................................',;;;;;;;;;,,,;;;;;;;;;;;;,,,,;;;;;;;;;;;;,,,;;;;;;;;;;,,;;;;;;;::ccc:::::ccccccccccccccccccccc:;,........'lx
	,'''',;:c::;;:::::::;;,''......'''''''''''''''''''''''''.....',,,,,,,,,,,,'................................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..                     ..,;;,,,,,,,,,,,,,,,,,,,;;,,,,''...'',;:ccclllllccllcccccllllccccccc::;::cccccccccccccccccccccccccclllllllllllllllllccccccccclc:,................................................',;;;;;;;;;;,,;;;;;;;;;;;,,,,,;;;;;;;;;;;;,,,;;;;;;;;;;,,;;;;;;;::cc::::::ccccccccccccccccccccc:;,........'lx
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	;,,,;;:c::::;;,,'........'''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,'.........................................................',,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,..                 ...',,,,,,,,,,,,,,,,,,,,,,,,''....';::cccccccllllcccccllcccccllllccccccc;,',;:ccccccccccccccccccccccccccllllllllllllllccccccccccclc:,'...............................................',;;;;;;;;;;,,;;;;;;;;;;;,,,,,;;;;;;;;;;;;,,,;;;;;;;;;;,,;;;;;;;::cc:;;;;:ccccccccccccccccccccc:;,........,lx
	::;;:::::;,,'......'''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,'......................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'..             ...',,;;,,,,,,,,,,,,,,,,''''''....',;:cccclllllllccccccclllccccllllccccccc;,',;:ccccccccccccccccccccccccccllllllllllllccccccccccccclc:,'...............................................',;;;;;;;;;,,,;;;;;;;;;;;;,,,,;;;;;;;;;;;;,,,;;;;;;;;;;,,;;;;;;;::cc:::;;:ccccccccccccccccccccc:;,........;lx
	::::;;,,''......''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,'...................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'...       .....',,,;,,,,,,,,,,,,,,,,,,,,,,''''',;:ccccccccccccccccccccclcccccllllccccccc;,',;:cccccccccccccccccccccccccllllllllllllcccccccccccccclc:,'...............................................',;;;;;;;;;,,,;;;;;;;;;;;,,,,,;;;;;;;;;;;,,,,;;;;;;;;;;,,;;;;;;;::cccc:::::::cccccccccccccccccc:;,........;lx
	::;,''.......'''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,,,'................................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'.......'',,,,;,,,,,,,,,,,,,,,,,;;,;;,,,,,,;::cccccccccccccccccccccccccccccccccccccccc:;,,;:clllllllllllccccccccccccccccccccccccccccccccccccccccc;,'...............................................',;;;;;;;;;,,,;;;;;;;;;;;,,,,,;;;;;;;;;;;,,,,,;;;;;;;;,,,,;;;;;;::ccc::::::cccccccccccccccccccc:;,........;lx
	'''.......''''''''''''''''''''''''''''''''''''''''''''''.....'',,,,,,,,,,,,,,,,,'............................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,,,,,,,,,,,,,;;;,,,'',;;:cccccccccccccccccccccccccccccccccccccccccccc::;:cllllllllllllccccccccccccccccccccccccccccccccccccccccc;,'...............................................',;;;;;;;;;,,,;;;;;;;;;;;,,,,,;;;;;;;;;;;,,,,,;;;;;;;;,,,,;;;;;;::ccc::;;:ccccccccccccccccccccc:;,........;lx
	.....'''''''''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,,,,,''........................................'',,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,',,;:cccccccccccccccccccccccccccccccccccccccccccccccccccllllllllllllccccccccccccccccccccccccccccccccccccccccc;,................................................',;;;;;;;;;,,,;;;;;;;;;;;,,,,,;;;;;;;;;;;,,,,,;;;;;;;;,,,,;;;;;;::ccc::;;:ccccccccc:::cccccccc::;,........,lx
	.'''''''''''''''''''''''''''''''''''''''''''''''''''''''.....'',,,,;,,,,,,,,,,,,,,'....................................'',,,,,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;:ccccccccccccccccccccccccccccccccccccccccccccccccccccccclllllllllllccccccccccccccccccccccccccccccccccccccccc;,................................................',;;;;;;;;;,,,;;;;;;;;;;;,,,,,;;;;;;;;;;;,,,,,;;;;;;;;,,,,;;;;;;:cccc::;;:ccccccccc::::ccccc::::;,........'lx
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,''.................................',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,;::ccccccccccccccccccccccccccccccccccccccccccccccccccccccccllllllllllllccccccccccccccccccccccccccccccccccccccccc;,................................................',;;;;;;;;;,,,;;;;;;;;;;;,,,,,;;;;;;;;;;;,,,,,;;;;;;;;;,,;;;;;;;:ccccc::::cccccccccccccccccccc::,'........'lx
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....',,,,,,,,,,,,,,,,,,,,''............................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;:cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccllllllllllccccccccccccccccccccccccccccccccccccccccc;,'...............................................',;;;;;;;;;;,,;;;;;;;;;;;,,,,,;;;;;;;;;;;,,,,;;;;;;;;;;,,;;;;;;;:ccccc::::cccccccccccccccccccc:;,'........,lx
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,,,,'.....................'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,'',;;:ccccccccccccccccccccccccccccccccccccccccccccccccclllccccc:;;;:ccccccccccccccccccccccccccclccccccccccccccccccccccccc;,................................................',,;;;;;;;;;,,;;;;;;;;;;;,,,,,;;;;;;;;;;;,,,;;;;;;;;;;;,,;;;;;;::cccc::::::ccccccccccccccccccc:;,'........,lx
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,;;,,''.............'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,'',;::cccccccccccccccccccccccccccccccccccccccccccccccccclllllllcc:,',;:cccccccccccccccccccccccllllllcccccccccllccccccccccc:;'................................................',,;;;;;;;;;,,;;;;;;;;;;;,,,,,;;;;;;;;;;;,,,;;;;;;;;;;;,,;;;;;;;::ccc::;;::cccccccccccccc::ccc:;,'........,lx
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,;,,,,''.....''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,',,;;;:ccccccccc:::::::::cccccccccccccclcccccccccccccccccccccccccccc::,',;:ccccccccccccccccccccccccclllccccclllccccccccccccccc:;'................................................',;;;;;;;;;;,,;;;;;;;;;;;,,,,,;;;;;;;;;;;;,,,;;;;;;;;;;,,;;;;;;;::cc:::;;::ccccccccccccccccccc::,'........'lx
	''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,''''',;:ccccccccc::;;;;;;;;;;;;:ccccccccccclllcccclllcccccccccccccccccccc:;,',;:ccccccccccccccccccccccccccccccccclllccccccccccccccc:;'................................................',,;;;;;;;;,,,;;;;;;;;;;;,,,,,;;;;;;;;;;;;,,;;;;;;;;;;;,,;;;;;;;::c:::::::::ccccccccc::::::::cc:,'........,lx
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,,,,'''''',;:::cccccccc:;,,,,,;;:;;;,;;:ccccccccclllccccllllccccccccccccccccccc:;,,,;:ccccccccccccccccccccccccccccccccccllllccccccccccccc:;'................................................',,;;;;;;;;,,,,;;;;;;;;;;,,,,,;;;;;;;;;;;,,,;;;;;;;;;;;,,;;;;;;;::cc::::::::::cccccc::::::::::::,'........;lx
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,'''',,;;,,,,,;;;::ccccc::;,,,,;::c:;,,,,;;:::cccccccccccccccccccccccccccccccccccc:;;;:cccccccccccccccccccccccccccccccccccccllllccccccccccc:;'................................................',;;;;;;;;;,,,,;;;;;;;;;;,,,,,;;;;;;;;;;;,,,;;;;;;;;;;;,;;;;;;;;::ccc:ccccc::ccccccc::::::::::::,'........;lx
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''.....',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',;::c::;,,,,,;;;::ccc::;,,,,;::::;,,,,,,,;;::ccccccc::cccccccccccccccccccccccccc::cccccccccccccccccccccccccccccccccccccccccccccccllccccc:;'................................................',;;;;;;;;;,,,,;;;;;;;;;;,,,,,;;;;;;;;;;;,,,;;;;;;;;;;;,,;;;;;;;::cccccccc:cccccccccc::::::::c::,'........;lx
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''',,;;;;;::ccc:;;;;;;;;;;;::c::;;;;;;:cc::;,,;;;;;;;;;;;:::;;;:::ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:,'................................................',,;;;;;;;;,,,,;;;;;;;;;;,,,,,;;;;;;;;;;;,,,,;;;;;;;;;,,,,;;;;;;::ccccccccccccccccccccc::::::c:;,.........;lx
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''',;:::::cc:;;:ccc:;;:::::::;;;::::;;;;;;:ccc:;;:::::::;;,,;;::;;::::ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:,'................................................',,;;;;;;;;,,,,;;;;;;;;;;,,,,,;;;;;;;;;;;,,,,;;;;;;;;;,,,,;;;;;;::ccccccccccccccccccccccc::::::;,.........;lx
	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.''''',,;;::::cc::ccc:;;:ccc:;;:::;:::;;;;:::;;;;,,;:cc:;;:cc::c:;;,,;;::::::::ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc:;'................................................',,;;;;;;;;,,,,;;;;;;;;;;,,,,,;;;;;;;;;;;,,,,,;;;;;;;;,,,,;;;;;;::ccccccccccccccccccccccccc::::;'.........;lx
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	'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''',,;;;::;;;:c:::cccc:;:::::;;::c::;;::;;;::;;;::::;;::;;:ccc:;;:c::::::::;::::::::::cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc;'................................................',,;;;;;;;;,,,,;;;;;;;;;;,,,,,;;;;;;;;;;;,,,,;;;;;;;;;,,,,;;;;;;:ccccccc::::cccccccccccc::c:cc:;,.........;lx
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	`,
}