;t1111f1111111i1iiiiiiiiii1111iiiiiiiii1i:;;;;;;;;iiii11ii1tttt1iii;:::::,,.
;ti1iiitfffttt1ttfttt1ttt111i111tttt1iiii:::::::::;ii1t11tfft1tftft::::::,,.
,11tf;i1t1tt1ii;;;;;;;i1iiii1tfLLLLLLLLLLfi::::::::;i11i1t1111tttf1:::,,,,,.
,;ittii1tttft1;;;;;;;;;;;1tffffffffffffffff1::::::::;i1itt1t1tt111;::::,:,,.
,;;11;;1t11ttti;;;;;;;;11tttttttttttttttttff1:::::::;;iiii1t111111i:::::;:,.
,;:::::;11i1fti;;:::::;tt1tttttttt1111i;ittffi::,:::::::;;itiii1t1i::::::,,.
,::::::;i1iii11::::::;i;;i11111111iiiii;;i1ffff1iiiii;;iiiii;;;;;iiii1111i1:
,::::ii11111111;,::;:;;;::;ii111111iiii;::;i1tfffffffffffftttt111tttttttttt;
,:;;;i1111111tti;::::::::;;;ii11111111ii;::;ii1ttfffffttffffffffffffffffftf;
,ii111111111111111i;;;;:;i;:iiii11111iii;;;;;;;;ii1ttttttttttfffffffffffftf;
:111111i11111tt1tf1iiiiii;;;iiiii1111iii;;;;;:::::;i1tttt1ii11111ttttttfttf;
:1i1111t11iiiiii11t1i1iiiiii1111111111iiii;;:::::;;:;;ii1ii;;;;;;;;iiii111t:
:1iiii111tttt1111iii1111f1;i1111111111i1iii;::1t1iiiiiiiii1ii;;;::::;;;;;;;,
:t1111iiiiii111ttiii111fft11i1111111111iiii;;1t1i;;;ii1111ii1111iii;;;;;:::,
:tttttt111iiiiiiiiii11itttf1iiiiiiiiiiiii;;;;;;;;:::::::;;;;iiii111111111ii:
;fttttttt1111iiiiii;1ftttt1f1iiiiiii;;;;;;:::;iiiii;;:::::::;;;;;;;iiii111t:
;tttttt111111111111itfi1ft1t1ii;:;;;;::::::,,::;i111111iii;;;::::::;;;;;;:;,
;ttttttttt1111111111tt11f1ii;;;::;;;::::::,,,,,:::;;;iii11t1111ii;;::::::::,
;tttttttttttt1111111111111i;:,,,,,,......,;;;;;::,,::::;;;;;ii1111111iii;;;,
;ttttttttttttttt11111ii1iii11;.,.........,:;i1111ii;:::::::::;;;;;ii1111t1t:
:tttttttttttttttt1t1;,:;iiii11,,.........,:::;;i1111111ii;:::::::::;;;;iii1:
:tttt11tttttt111tt1:,,,,,,,,,,,........,,::::::::;;iii1ttt11ii;;::::::;;;;;,
:t11111111111111ti:,,,,,..............:;;;:::::::::::;;iii1111t11ii;:::::::,
:t11111111111t111;:::::;;,,,,.........:i;;iiii;;::::::::;;;;iii1111111ii;;;,
:t11111111111t111i;iiii;;;::,,,.......:;iiiiii1ii;;;::::::::;:;;;iii11ttttt:
:t1111111111111111iiiiiii;;;;;;;:.....:;iiiiiii1111iii;;::::::::;;;;;iii11t:
:t111111111111111111iiiiiiiiiiii:.....,;iiiii11111111111iii;:::::::::;;;;;i,
:t11111111111111111111iiiiiiiiii;:....,;iiiii1111111111111111ii;::::::;;;;;,
:t1111111111111111111111iiiiiiiiii:...,;iiiiii1111111111111111111ii;;::;;:;,
:t1111111111111111111111iiiiiiii;;:,,,,iiiiiiiiiiii1111111111111111111ii;;;,
:t1111111111111111111111iiiiii;;;;;::::iiiiiiiiiiiii11111111111111111111111:
:t1111111111111111111111iiiiiii;;i;::::iiiiiiiiiiiiiiii1111111111111111111t:
:t11111111111111111111111iiiiiiiii;:,,:;iiii1111111111111111ii1111111111111:
:t111111111111111111111111ii1iiii1ii;::;iiii1111111111111111111111111111111:
:111111111111111111111111111111111111iiii111111111111111111111111111111111t:
:11111111111111111111111111111111111111111111111111111111111111i;;i;;;;;;;i:
:11111111111111111111111111111111111111111111111111111111111111,ii1ii1;ii1i;:;i,,:::::,
:11111111111111111111111111111111111111111111111111111111111111,::;ii;;i;;;:,:..,,::,,,