fffffffffLLLLLLLLLLLLLLLLLGGGGGGGGGGGGGGGGGGGGGGGGGLLLLLLLLLLLLLfLffffffffffffff
fffffffffLLLLLLLLLLLLLLLLGGGGGGGGGGGGGGGGGGGGGGGGLGLLLLLLLLLLLLLLffLLfffffffffff
fffffffLLLLLLLLLLLLLLLGGGGGGGGGGGGGGGGGGGGGLLLLLLLLLLLLLLLLLLLLLLLLLLLfLffffffff
fffffLLLLLLLLLLLLLLLLLLLGLLLLGGGGGGGGGGGGGGGGGGLGLLLLLLLLLLLLLLLLLLLffffffffffff
fffffffffLLLLLLLLLLLLLLLLLLLLGGGGGGGGGGGGGGGGGGGGGLGLLLLLLLLLLLLfffffffffffffffj
fffffffffLLLLLLLLLLLLLLLLLLLLLLLLLLLGGGGGGGGGGLLLLLLLLLLLLLLLffffffffffffffffjjj
fffffLLLLLLLLLLLLLLLLLLLLLLGGLGGGLGGGGGGGGGGGGGGGLLLLLLLLLLLLLLLLfffffffffffffff
fffLLLLLLLLLLLLLLLLLLGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGLLLLLLLLLLLLfLffffffffff
LLLLLLLLLLLLGGGGGGGGGGGGGDDDDDDDDDDDDDDDDDDDDDDDDDGDGGGGGGGGGLLLLLLLLLLLLLLfffff
LLLLLLGGGGGGGGGGDDDDDDDDDDDDDDDDEDEEEEEEEEEEEEEEEEEDDDDDDDDGGGGGGGGGLLLLLLLLLfff
GGGGGDDDDDDDDDDDDDDEEEEEEEEEEEEEEEEEEKKKKKEEEEEEEEEEEEEEEEDDDDDDDDDGGGGGGGGGLLLL
GGDDDDDDDDDDDDEEEEEEEEEEEEEEEKEKKKKKKKKKKKKKKKKKKKKEEEEEEEEEEEEEDDDDDDDDDGGGGGGG
DDDDDDDDDDDDEEEEEEEEEEEEEKKKKKKKKKKKKKKKKKKKKKKKKKKKEEEEEEEEEEEEDDDDDDDGGGGGGGGG
DDDDDDDDDDEEEEEEEEEEEEEEEKKKKKKKKKKKKKKKKKKKKKKKKKKKKEEEEEEEEEDEDDDDDDDDDDDGGGGG
DDDDDDDDDDEDDEEEEEEEEEEEEKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKEEEEEEEEEEDDDDDDDDDGGGGGG
DDGDDDDDDDDEEEEEEEEEEEEEKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKEEEEEEEEEDDDDDDGGGGGGGLL
GGGDDDDDDDDEEEEEEEEEEEEEKKKKKKKKKKKKKKKWKWKWWKKKKKKKKKKKEEEEEEEEDDDDDDDGGGGGGGGL
GGGGDDDDDDDDEEEEEEEEEKKKKKKKKKKKKKWWWWWWWWWWWWKKWKKKKKKKEEEEEEEEEEDDDDDDDGGGGGGG
GGGDDDDDDDDDEEEEEEEEEEEKKKKKKKKKWWWWWWWWWWWWWWWWWKKKKKKKKKEEEEEEEEEDDDDDDGGGGGGG
GGDDDDDDDDDDDEEEEEEEEEKKKKKKKKWWWWWWWWWWWWWWWWWWWWWKKKKKKKKEEEEEEEEDDDDDDGGGGGGG
GDDDDDDDDDDDEEEEEEEEEKKKKKKKKWWW#W#####W####W##WWWWKKKKKKKKKEEEEEEEDDDDDDDGGGGGG
DDDDDDDDDDEEEEEEEEEEKKKKKKKKWWWWW#W##############WWWKKKKKKKKKEEEEEEEDDDDDDGGGGGG
DDDDDDDDDDEEEEEEEEEKKKKKKKKWWWWWWW###############WWWWKKKKKKKKKEEEEEEEEDDDDDGGGGG
DDDDDDDDDEEEEEEEEEEKKKKKKKKWWWWWWWW#W#WW####W###WWWWWWKKKKKKKKEEEEEEEEEDDDDDGGGG
DDDDDDDDDEEEEEEEEKKKKKKKKWWWWWWW#################WWWWWWKKKKKKKKEEEEEEEDDDDDDDGGG
DDDDDDDEEEEEEEEEEKKKKKKKKWWWWWWW##W##################WWWKKKKKKEEEEEEEEEDDDDDGGGG
DDDDDDDDDDEEEEEEEEEKKKKKKWWW########################W#WWKKKKKKEEEEEEEEDDDDDGGGGG
GDDDDDDDDDEEEEEEEEEEKKKKWWW#########################W##WKKKKKEEEEEEEDDDDDDDGGGGG
GGGGDDDDDEEEEEEEEEEEKKKKWWWW###########################WWKKKKEEEEEEEEDDDDDDDGGGG
GGDDDDDDDEEEEEEEEEEKKKKWWW#WW###########################WKKKKKEEEEEEEEDDDDDDGGGG
DDDDDDDDDEEEEEEEEEKKKKKWWWWWWW##WW##W##W#W###########W#WWKKKKKEEEEEEEEEEDDDDDDDG
DDDDDDDDDEEEEEEEEEKKKKKWWWWWWWWWWWW#WWW####W##WWWWWWWWWWWWKKKKKKEEEEEEEEDDDDDDGG
DDDDDDDDDEEEEEEEEEKKKKKWWWWWWWWWWWWWWWWWWWW#WWWWW#WWWWWWWWKKKKKEEEEEEEEEDDDDDGGG
DDDDDDDDDEEEEEEEEEEKKKKWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWKKKKKEEEEEEEEDDDDDDDGG
DDDDDDDDDDEEEEEEEEEKKKKWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWKKKKEEEEEEEEEDDDDDDGGG
DDDDDDDDDDEEEEEEEEEKKKKWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWKKKKKEEEEEEEEEDDDDDDGGG
DGDDDDDDDDDDEEEEEEEEEKKKWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWKKKEEEEEEEEEDDDDDDDGGGG
GGGGGDDDDDDDDDDEEEEEEEKKKWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWKKKEEEEEEEEEDDDDDDGGGGGG
GGGGGGGDDDDDDDDDEEEEEEEEKKWWWWWWWWWWWWWWWWWWWWWWWWWWWWWKKKEEEEEEEEEDDDDDDDGGGGGG
GGGGGGGGGGGDDDDDDEEEEEEEEKKWWWWWWWWWWWWWWWWWWWWWWWWWWWKKEEEEEEEEEEDDDDDDGGGGGGLL
GLGGLGGGGGGGDDDDDDDEEEEEEEKKKKKKWWWWWWWWWWWWWWWWWWWWKKKEEEEEEEEEDDDDDDDGGGGGGLLL
LLLLLLLGGGGGGGDDDDDDEEEEEEEKKKKKWWWWWWWWWWWWWWWWWWWKKKEEEEEEEEDDDDDDGGGGGGGLLLLL
LLLLLLLLLGGGGGGDDDDDDEEEEEEEKKKKKWWWWWWWWWWWWWWWWWWKEEEEEEEDDDDDGGGGGGGLLLLLLLfL
LLLLLLLLLLGGGGGGGDDDDDDDEEEEEKWWWWWWWWWWWWWWWWWWWWKEEEEDDDDDDDGGGGGGLLLLLLLLtiii
fLfffffLLLLLLLjjjjjjffffffLLLEKWWWWWWWWWWWWWWWWWWKEDDDDDGGGGGGGLLLLLLLLfLtttiiii
ffffffffffjttttjjjjjjfffffLLLLLGGGGGDDDDDDKKKDGGGGLLLLffffLLLLLLLLfLfjttttttiiii
jjtttttttttttttjjjjjjjffffLLLLLLGGGGGGGGGGGGGGGGGLLLLLffffffjjjjjjtjtttttttiiiii
iiiiitittttttttjjjjjjjffffffLLLLLLLLGGGGGGGGGGGLLLLLLLfffffjjjjjjjjttttttitiiiii
iiiiiiittttttttjjjjjjjffffffLLLLLLLLLLLLGLLLLLLLLLLLffffffjjjjjjjttttttttiiiiiii
iiiiiiittttttttjjjjjjfjfffffffLLLLLLLLLLLLLLLLLLLLLfffffffjjjjjjtttttttttttiiiii
iiiiiiiitttttttjjjjjjjjfffffffffLLLLLLLLLLLLLLLLLLffffffffjjjjjjttttttttttiiiiii
;;;;ii;iiiiiiiiittttttttttjjjjjjjjjjjjfGfjjjjjjjjjtttttttttiiiiiiiiiiiii;;;;;;;;
.::::::::::::,,,:,,,,,,,,,,;;i;ii;iiitjDLjt;iii;i;;;;;;,,,,,,,,,::::::::::,,,,,,
:::::::,,,,,,,,,,,,;;i;;;itiiiiittitjjfDDtjtiiiiii;;ii;i;;;;;;,,,,,:::,;;;;;;;;;
:::,,,,,,,,;;,,,,i;;;;;;;;;;iiiii,tttfEEDGtttii;iiiiii;;;;;;;;;;;;;ii;;;;;;;;;;;
:,,,,,,,,;;;;,,,,;;,,;;;;ii;itjLDEEDEEDDDDDDDDEDGffjttiiiii;ii;iiiiiiiiiiiiii;ii
,,,,,;,;,,,;iiiiiiiiitjjfGGDDDDGGDDDGGLGfLLGGGGLLLGGGGLffjjttttii;i;;i;ii;iii;;,
;iii;iiiii;i;;ttttjGfLGGGGGGLLLGGGGLfffGfLLLfLGLLLffffLLLLfffjfttttttttiii;;;;;;
;;i;;;;ititittGfffLLLLLLLfffLLLLLLLffffLjjfffffLfffffffffffffffffjjtfttiiiiiiiii
;iiiiiitjLjjffffLLfffffffffLLLLLffffjjfLfjfffffffffffffjjjjjjjfffffjjjjtttjjiiii