;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,..................::::::,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
KKWWWWWWWWWWWWWWWWWWWWKKWWKKDDLLLLLLLLLLLLLLffffGGGGGGGGDDEEKKKKWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW##########WWWWWW##############WW##WWWWWWWWWW
KKWWWWWWWWWWWWWWWWWWWWWWWWKKGGLLLLffffffffffffffLLGGGGGGGGGGDDEEKKWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW############WWWWWW############WWWWWWWWWWWWWW
GGEEWWWWWWWWWWWWWWWWWWWWWWKKGGLLffLLffffjjjjjjjjffLLLLLLLLGGGGGGEEWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW##########WWWWWWWWWWWW######WWWWWWWWWWWW
LLLLKKWWWWWWWW##WWWWWWWWKKEELLLLffffffjjjjttttttttttttjjffffffLLGGKKWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW######
ffffGGKKWWWWWWWWWWWWWWWWKKDDLLLLffffjjjjttttttttttttttttjjjjffffLLGGKKWWKKKKKKWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW##WWWWWWWWWWWWWWWWWWWW####
jjffLLDDWWWWWWWWWWWWWWWWKKGGLLLLffffjjttjjttttttttttttttttttffffLLLLDDKKWWKKKKKKKKWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWWW##WWWWWWWWWWWWWWWWWW####
jjjjffLLKKWWWWWWWWWWWWKKKKGGLLffffjjjjjjjjttttttttttttttttttjjffLLLLLLDDKKKKDDDDEEKKWWWWWWWWKKKKWWKKKKKKKKKKKKKKKKWWWWWWWWWWWW######WWWWWWWWWWWWWWWWWWWW
ttjjjjLLEEWWWWWWWWWWWWKKEELLLLffffjjjjttttjjttttttttttttttttjjffLLLLLLLLDDKKKKKKEEKKWWWWWWKKKKKKKKKKKKKKEEEEKKKKKKKKWWWWWWWWWW####WWWWWWWWWWWWWWWWWWWWWW
jjjjjjffDDWWWWWWWWWWWWKKEELLffffffjjjjttttttttttttttttttjjjjffffffLLLLLLGGKKKKKKKKKKWWWWKKKKEEEEKKEEEEEEEEEEEEKKKKKKWWWWWWWWWW####WWWWWWWWWWWWWWWWWWWWWW
jjjjjjffLLKKWWWWWWWWWWKKDDLLffffffjjjjttttttttttttjjjjjjjjjjjjffffffLLGGLLGGDDKKKKKKKKEEDDDDGGDDDDDDDDDDDDDDEEEEKKKKKKWWWWWWWW####WWWWWWKKWWWWWWWW##WWWW
jjjjjjffLLEEWWWWWWWWWWKKDDLLffffjjjjjjttttttttjjjjjjjjjjjjjjffffffffLLLLGGDDDDDDGGGGGGGGGGGGGGGGGGGGGGGGGGDDDDDDEEKKKKWWWWWWWW####WWKKKKKKKKWWWWWWWWWWWW
jjjjjjffLLEEWWWWWWWWWWKKGGffffjjjjjjttttttttjjjjjjjjffjjjjffffffffffffLLLLLLLLLLLLLLLLLLLLLLGGGGGGGGGGGGGGGGDDDDEEKKKKWWWWWW######WWKKKKKKKKWWWWWWWW####
jjjjjjffLLEEWWWWWWKKDDGGLLffjjttttttttttttttjjjjjjjjffjjjjffffffffffffffLLLLLLLLLLLLLLLLLLLLLLGGGGGGGGGGGGGGDDDDEEKKKKKKWWWW######WWWWWWWWWWWWWWWWWW####
jjjjjjffLLDDKKWWWWDDLLffffjjjjttttttttttttttttttjjjjjjjjjjjjffffffffffffLLLLLLLLLLLLLLLLLLLLGGGGGGGGGGGGGGGGGGDDDDEEKKKKKKWW######WWWWWWWWWWWWWWWWWWWW##
jjjjjjjjffGGKKWWKKGGffjjjjttjjttttttttttttttttttjjjjttttjjjjffffffffffffLLffffffffLLLLLLLLLLLLGGGGGGGGGGGGGGGGGGGGDDDDEEKKKKWWWWWW####WWWWWWWWWWWWWW####
jjjjjjjjffLLDDKKKKLLjjjjttttttttttttttttttttttttttttttttttjjjjjjffffffffffffffffffLLLLLLLLLLLLLLLLLLGGGGGGGGGGGGGGGGGGDDDDEEEEKKKKKKKKKKKKKKKKWWWWWW####
jjjjjjjjffLLGGKKKKLLttjjttttttttttttttttttttttttttttttttttjjjjjjffffffffffffffffffffLLLLLLLLLLLLLLLLLLGGGGGGGGGGGGGGGGGGGGDDDDDDDDEEEEEEDDDDKKWWWWWWWW##
jjjjjjjjjjffLLDDDDffttttttttttttttttttttttttttttttttttttttttjjjjffffffffffffffffffffLLLLLLLLLLLLLLLLLLLLLLGGGGGGGGGGGGGGGGGGGGGGGGGGDDDDDDDDEEKKWWWWWWWW
jjjjttjjjjffLLGGGGjjttttttttttttttttttttttttttttttttttttttttjjjjffffffffffffffffffffffLLffffLLLLLLLLLLLLLLLLGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGDDKKWWWWWWWW
jjjjttttttjjLLLLLLttttjjttttttttttttttttttttttttttttttttttttjjjjffffffffffjjjjjjffffffffffffffLLLLLLLLLLLLLLGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGDDKKWWWWWW
ttttttttttjjffLLffttffffjjttttttttttttttttttttttttttttttttttjjjjffffffffffffffffffffffffffffffLLLLLLLLLLLLLLLLGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGDDKKWWWWWW
ttjjttttttjjffffjjttLLGGLLLLffffjjttttttttttttttttttjjjjttjjjjjjffffffffffffjjffffffffffffffffLLLLLLLLLLLLLLLLLLGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGEEWWWWWW
jjjjjjttttjjffjjttjjLLDDDDDDGGLLLLffjjttttttttjjjjjjjjjjjjjjffffffffffffffffffffffffffffffffLLLLLLLLLLLLLLLLLLGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGDDKKWWWW
jjjjjjttjjjjjjttttttLLGGDDDDDDGGGGLLffjjttttjjjjjjffffffffjjffffffffffffffffffffffffffffffffLLLLLLLLLLLLLLLLLLGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGDDKKWWWW
jjjjjjjjjjjjjjttttttLLGGGGDDEEEEEEGGGGLLffffffffffffffffffffffffffffffffffffffffffffffLLLLLLLLLLLLLLLLLLLLLLLLLLGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGKKWWWW
jjjjjjjjjjjjjjttttttffLLLLGGDDKKKKKKEEDDGGGGLLLLffffffffffffffffffLLLLLLffffffffffLLLLLLLLLLLLLLLLLLLLLLLLGGGGGGGGGGDDDDDDDDDDDDDDDDGGGGGGGGGGGGGGDDKKKK
ffffjjjjffjjjjttttttjjffLLLLLLGGGGKKKKKKKKKKEEDDGGLLLLLLffffffffLLLLLLLLLLffffLLLLLLLLLLLLLLLLLLLLLLGGGGGGGGGGDDDDEEEEEEEEEEEEEEEEEEDDGGGGGGGGGGGGDDDDDD
ffffffffffjjjjttttttjjffLLGGGGGGGGDDDDKKWWWWWWWWKKDDGGLLLLLLLLLLLLLLLLLLLLLLffLLLLLLLLLLLLLLLLLLGGGGGGDDEEEEKKKKKKKKKKKKKKKKKKKKEEKKEEDDDDGGGGGGGGGGDDDD
ffffffffffjjjjjjjjttttjjLLGGDDKKKKKKKKWWKKKKWWWWWWKKKKDDGGLLLLLLLLLLLLLLLLLLLLLLLLLLGGGGGGGGDDDDEEKKKKKKKKKKWWWWWWWWWWWWWWKKKKKKKKKKKKDDDDGGGGGGGGGGDDDD
LLffffffffffffjjjjttttttffGGEEDDDDLLLLKKEEKKWWWWWWWWKKEEDDGGLLLLLLLLLLLLLLLLLLLLGGGGGGDDKKKKKKKKWWWWWWWWWWWWWWWWKKKKKKKKKKKKKKEEKKEEDDDDGGGGGGGGGGGGGGDD
LLLLffffffffffjjjjttttttffLLGGLLLLffffEEKKWWWWWWWWWWKKKKDDGGGGLLLLLLLLLLLLLLLLLLGGGGDDKKKKKKWWWWWWWWWWWWWWWWWWKKKKKKEEEEEEEEEEEEEEDDDDDDGGGGGGGGGGGGGGDD
LLLLLLffffLLffffjjttttttttffffLLLLffffGGKKWWWWWWKKEEEEEEEEDDGGGGLLLLLLLLLLLLLLGGDDEEKKKKKKKKKKKKWWWWWWWWWWWWWWWWKKKKKKKKEEEEEEEEDDDDDDDDGGGGGGGGGGGGDDDD
LLLLLLLLLLGGLLffffttttttttttffLLLLffjjffGGKKKKKKGGGGDDDDDDDDGGLLLLffffLLLLGGGGGGDDEEKKKKKKKKKKWWKKWWWWWWWWWWWWWWWWWWWWKKKKKKKKEEEEDDDDGGGGGGGGGGGGGGDDDD
GGGGGGGGDDKKDDLLffttttttttttffLLLLffffffffLLLLLLLLGGGGGGGGGGLLLLffffffffLLLLGGGGDDEEKKKKKKKKKKKKKKKKKKWWWWWWWWWWKKKKKKWWWWKKKKKKEEDDDDGGGGGGGGGGGGGGDDDD
DDEEKKKKWWWWKKLLffttttttttttffffffLLLLLLLLLLLLLLLLGGGGGGGGLLffffffttjjffLLLLGGGGDDEEKKKKKKKKKKKKEEDDDDKKWWWWWWWWEEGGDDKKKKKKKKKKEEDDDDGGGGGGGGGGGGDDDDDD
KKWWWWWW####KKLLffjjttttttttjjffffLLLLLLGGGGGGGGGGGGGGLLLLffffffjjttttjjffLLGGGGDDEEKKKKKKKKKKKKDDGGGGGGEEKKKKDDGGGGDDEEEEEEEEDDDDGGGGGGGGGGGGGGGGDDDDDD
WW##########WWGGLLjjttttttttttjjffffLLLLGGGGGGGGDDDDGGLLLLffffffjjttttttffLLLLGGDDDDEEEEEEKKEEDDGGGGLLLLLLGGGGGGGGGGDDDDDDDDDDDDGGGGGGGGGGGGGGGGGGDDDDDD
############WWGGLLffttttttttttjjjjffffLLLLLLGGGGGGGGGGLLffffffffttttttjjffLLGGGGDDDDEEEEEEDDDDGGGGGGGGGGGGGGGGGGGGDDDDDDDDGGGGGGGGGGGGGGGGGGGGGGDDDDEEEE
############WWGGLLffttttttttttttjjffffffffLLLLLLLLLLLLLLffffffjjttttttjjffLLGGGGDDDDEEEEEEEEDDDDGGGGGGGGGGGGGGGGDDDDDDDDDDGGGGGGGGGGGGGGGGGGGGGGDDDDEEEE
############WWDDGGffjjttttttttttjjffffffffLLLLLLLLLLLLffttjjjjjjttttttjjffLLGGGGGGDDDDDDEEEEEEDDDDDDGGGGGGGGGGGGDDDDDDDDDDGGGGGGGGGGGGGGGGGGGGGGDDDDEEEE
############WWKKGGffffjjjjjjttttttffffLLLLLLLLLLLLffjjttttjjjjjjttttttffLLLLGGGGGGGGDDDDDDDDDDDDGGGGGGGGDDDDDDDDDDDDDDDDGGGGGGGGGGGGGGGGGGGGGGDDDDEEEEEE
##############KKDDLLffjjjjjjttttjjjjffffffffffffjjjjttttttjjjjjjttttjjffLLGGGGGGGGGGGGGGGGGGDDDDGGGGGGGGGGGGGGGGGGDDDDGGGGGGGGGGGGGGGGGGGGGGGGDDDDEEKKKK
##############KKDDLLffffjjjjttttttttttttttttttttttttttttttjjjjjjttttjjffLLGGGGGGGGGGGGGGGGGGGGGGDDGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGDDDDEEEEKKKK
##############WWKKLLffffjjjjjjttttttttttttttttttttttttttttjjjjjjttttjjffLLGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGLLGGGGGGGGGGGGGGGGGGGGDDDDEEEEKKWW
##############WWKKLLffffffjjjjjjttttttttttttttttttttttttjjjjjjjjttttjjffLLGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGLLLLLLLLLLLLLLGGGGGGGGGGGGGGGGDDDDEEEEKKWWWW
##############WWKKGGLLffffjjjjjjttttttttttttttttttttttttjjjjjjjjttttjjffLLGGGGGGGGGGGGGGGGGGGGGGGGGGGGLLLLLLLLLLLLLLLLLLLLGGGGGGGGGGGGGGDDDDDDEEEEKKWWWW
##############WWWWGGLLffffffjjjjjjjjjjjjjjttttttttttttjjjjjjjjjjttttjjffLLGGGGGGGGGGGGGGGGGGGGGGGGGGGGLLLLLLLLLLLLLLLLLLLLGGGGGGGGGGGGDDDDDDDDEEKKKKWWWW
##############WWWWDDLLLLffffffffffffjjjjjjjjjjjjjjjjffffjjjjjjjjttttjjffLLGGGGGGGGGGGGGGGGGGGGGGGGGGGGLLLLLLLLLLLLLLLLLLLLGGGGGGGGGGGGDDDDDDEEEEKKKKWWWW
################WWEELLLLffffffffffffffffffffffffffffffffffffffjjttttjjffLLGGGGGGGGGGGGGGGGGGGGGGGGGGLLLLLLLLLLLLLLLLLLLLLLGGGGGGGGGGDDDDDDDDEEKKKKKKWWWW
################WWKKLLLLLLffffffffffffffffffffLLLLffffffffffjjjjttttffffLLGGGGGGGGGGGGDDDDDDGGGGGGGGGGLLLLLLLLLLLLLLLLLLGGGGGGGGGGGGDDDDDDEEEEKKKKKKWWWW
##################KKGGLLLLLLffffffffffffffLLLLLLLLLLffjjjjffjjjjttjjffLLLLGGGGGGGGGGGGDDDDDDDDGGGGGGGGGGLLLLLLLLLLLLLLGGGGGGGGGGGGDDDDDDDDEEEEKKKKKKWWWW
##################WWDDLLLLLLLLLLLLLLLLLLLLLLLLLLLLffffffffjjjjttttttffLLLLGGGGGGGGGGGGGGDDDDDDDDGGGGGGGGLLLLLLLLLLLLGGGGGGGGGGDDDDDDDDDDDDEEEEKKKKKKWW##
##################WWDDLLLLLLLLLLLLLLLLLLLLLLLLLLLLffffjjffjjttttttjjffLLLLGGGGGGGGGGGGGGDDDDDDDDDDDDGGGGGGGGLLLLGGGGGGGGGGGGDDDDDDDDDDDDEEEEKKKKKKWWWW##
##################WWEELLLLLLLLLLLLLLLLLLLLLLLLLLLLffffjjffjjttttttffffLLLLGGGGGGGGGGGGGGDDEEEEEEEEDDDDGGGGGGGGGGGGGGGGGGGGGGDDDDDDDDDDDDEEEEKKKKKKWW####
##################WWKKGGLLLLLLLLLLLLLLLLLLLLLLffffffffffffjjttttttffffLLLLGGGGGGGGGGGGGGDDDDEEEEEEEEDDDDGGGGGGGGGGGGGGGGDDDDDDDDDDDDDDEEEEEEKKKKKKWW####
####################WWDDLLLLLLLLLLLLLLLLLLLLffffffffffffffjjttttjjffffLLLLGGGGGGGGGGGGGGDDEEDDDDEEEEEEDDDDDDGGGGGGGGDDDDDDDDDDDDDDDDDDEEEEKKKKKKKKWW####
####################WWEEGGLLLLLLLLLLLLLLLLffffffffffLLLLffjjttttffffLLLLLLGGGGGGGGGGDDDDEEEEDDDDDDEEEEEEDDDDDDDDDDDDDDDDDDDDDDDDDDEEEEEEEEKKKKKKWWWW####
####################WWKKGGGGLLLLLLLLLLLLffffffffffffffLLffffffffffffLLLLGGGGGGDDDDDDDDEEEEEEDDDDDDDDEEEEDDDDDDDDDDDDDDDDDDDDEEEEEEEEEEEEKKKKKKKKWWWW####
######################WWDDGGLLLLLLLLLLLLffffffffffffLLLLLLLLLLLLLLLLLLGGGGDDDDEEKKKKKKKKEEEEDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDEEEEEEEEEEEEKKKKKKKKKKWW######
######################WWKKGGLLLLLLLLffLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGGGGDDEEKKKKKKKKKKKKEEEEDDEEEEEEEEDDDDDDDDDDDDDDDDEEEEEEEEEEEEEEKKKKKKKKKKWWWW######
######################WWKKGGLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGGGGGGGGGGGGGGDDKKKKKKKKKKKKKKEEEEEEEEEEEEEEDDDDDDDDDDDDDDEEEEEEEEEEEEEEKKKKKKKKKKKKWWWW######
########################WWDDGGLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGGGGDDDDEEEEKKKKKKKKKKKKKKKKKKKKEEEEEEEEEEDDDDDDDDDDEEEEEEEEEEEEKKKKKKKKKKKKKKKKWWWW########
########################WWKKGGGGLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGGGGDDGGGGEEKKKKKKKKEEEEEEEEEEEEEEEEEEDDDDDDDDDDDDDDEEEEKKKKKKKKKKKKKKKKKKWWWWWW########
##########################WWDDGGGGLLLLLLLLGGGGGGGGLLLLLLLLLLLLLLLLGGGGLLLLGGGGDDEEDDDDDDDDDDEEEEEEEEEEDDEEEEEEDDEEEEEEKKKKKKKKKKKKKKKKKKWWWWWW##########
##########################WWKKGGGGGGLLLLGGGGGGDDDDDDDDGGGGGGGGGGGGGGGGLLLLGGGGGGDDDDDDDDDDDDEEEEEEEEEEEEEEEEEEEEEEEEKKKKKKKKKKKKKKKKKKWWWWWWWW##########
############################WWDDGGGGGGGGGGGGGGGGGGDDEEEEEEDDDDDDDDGGGGGGGGDDDDEEEEKKKKKKKKKKKKKKKKKKKKEEEEEEEEEEEEEEKKKKKKKKKKKKKKKKWWWWWWWW############
############################WWKKEEGGGGGGGGLLLLGGGGGGDDGGGGDDDDEEKKKKEEKKKKKKKKKKKKWWWWWWWWWWWWKKKKKKKKKKEEEEEEEEEEKKKKKKKKKKKKKKKKWWWWWWWW##############
##############################WWKKDDGGGGGGLLLLGGGGGGGGGGGGGGGGGGGGDDDDEEKKKKKKKKKKKKKKKKKKKKKKKKKKEEEEKKEEEEKKKKKKKKKKKKKKKKKKKKWWWWWWWW################
##############################WWWWDDGGGGGGGGLLGGGGGGGGGGGGGGGGGGGGGGGGDDEEEEEEKKKKKKKKKKKKKKKKKKEEEEEEKKEEEEKKKKKKKKKKKKKKKKKKKKWWWWWW##################
GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGLLffffffjjjjjjffffffffffffffffffffffffffLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLGGGGGGGGGGGGGGGGGGGGGGGGGG