****************************************************************
*,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,*
*,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,*
*,,,,***********************,,,,,,,,***********************,,,,*
*,,,,,*,***,***,***,***,***,,,,,,,,,,**,,,,,**,,,**,,,,,**,,,,,*
*,,*,*,,,*,,,*,,,*,,,*,,,*,,,*,,,,*,,,,,,,,**,,,,,**,,,,,,,,*,,*
*,,**,*,*,*,*,*,*,*,*,*,*,*,**,,,,**,,,,,,**,,,*,,,**,,,,,,**,,*
*,,*,,,*,,,*,,,*,,,*,,,*,,,***,,,,***,,,,**,,,,**,,,**,,,,***,,*
*,,**,*,*,*,*,*,*,*,*,*,*,*,**,,,,*,**,,,*,,,,,,**,,,*,,,**,*,,*
*,,***,,,*,,,*,,,*,,,*,,,*,,,*,,,,*,,**,,,,,,,,,,**,,,,,**,,*,,*
*,,**,*,*,*,*,*,*,*,*,*,*,*,**,,,,*,,,**,,,**,,,,,**,,,,,,,,*,,*
*,,*,,,*,,,*,,,*,,,*,,,*,,,***,,,,*,,,,,,,,,**,,,**,,,*,,,,**,,*
*,,**,*,*,*,*,*,*,*,*,*,*,*,**,,,,*,,,,,,*,,,**,**,,,***,,,**,,*
*,,***,,,*,,,*,,$#,,,*,,,*,,,*,,,,**,,,,***,,,***,,,**,**,,,*,,*
*,,**,*,*,*,*,*,#§#,*,*,*,*,**,,,,**,,,**,**,,,*,,,**,,,**,,*,,*
*,,*,,,*,,,*,,,*...#,,,*,,,##*,,,,*,,,**,,,**,,,,,,,**,,,,,,*,,*
*,,**,*,*,*,*,*.#.#s#,*,*,#.##,,,,*,,**,,,,,**,,,*,,,**,,,,**,,*
*,,***,,,*,,,*,..#...#,,,#..(#,,,,*,,,,,,,,**,,,,**,,,*,,,***,,*
*,,**,*,*,*,*,*,#.#.#.#W#.#.#*,,,,**,,,,,,**,,,,,,**,,,,,**,*,,*
*,,*,,,*,,,*,,,*,.G#p..#(H.#**,,,,***,,,,**,,,**,,,**,,,**,,*,,*
*,,**,*,*,*,*,*,*,#p#.#p#C#.*#....#,**,,,*,,,,,**,**,,,,,,,,*,,*
*,,***,,,*,,,*,,,*,pe#.Du#y.,#..[.#,,#*,,,,,*,,,***,,,*,,,,**,,*
*,,**,*,*,*,*,*,*,#D#D#@#.#.##....#,..**,,,**,,,,*,,,,**,,,**,,*
*,,*,,,*,,,*,,,*,,,#.2.#..§#.#pp..#..),,,,**,,,,,,,,,,,**,,,*,,*
*,,,,,***,***,***,*##2###(#p§.@.......,,,**,,,**,,,**,,,**,,,,,*
*,,,,***************##*#####§uu.p...##*********************,,,,*
*,,,,,,,,,,,,,,,,,,,,,,.....§§pu<...p.,,,,,,,,,,,,,,,,,,,,,,,,,*
*,,,,,,,,,,,,,,,,,,,,,,......§<..pp...,,,,,,,,,,,,,,,,,,,,,,,,,*
*,,,,,,,,,,,,,,,,,,,,,,......))<<.Dpp@,,,,,,,,,,,,,,,,,,,,,,,,,*
*,,,,,,,,,,,,,,,,,,,,,,.....)Z)..p.p..,,,,,,,,,,,,,,,,,,,,,,,,,*
*,,,,************###########p.p.....##*********************,,,,*
*,,,,,,,,,,,,,,,,......((.(pppo.......,,,,,,,,,,,,,,,,,,,,,,,,,*
*,,*,,,,,,,,,,,,,.......@)W.C#....#...*,*,*,,*,*,*,,*,*,*,,,*,,*
*,,*,,******############p)#.p#....#..................,,,,,,,*,,*
*,,*,,,,,,,,...........pc)#..#....#.(.#.#.....#.#....,*,*,,,*,,*
*,,*,,,,,,,,............)(#,,*,,,,#.(..D.............,,,,,,,*,,*
*,,*,,******#########..#))#,,*,,,,#.(.#T.......#...,,,,,*,,,*,,*
*,,*,,,,,,,,,,,,,,.....#(.#,,*,,,,#....).C........,,,,,,,,,,*,,*
*,,*,,,,,,,,,,,,,......#.)#,,*,,,,#....()(..###*##*,,,,,,,,,*,,*
*,,*,,*,,********####..#.(#,,*,,,,#..)#...p)##)))##,,,,,*,,,*,,*
*,,*,,*,,*,,*,,,,,,,#..#))#,,*,,,,#....)#p(p#().)%#.,,*,,,,,*,,*
*,,*,,*,,*,,+,,,,,,,#..#()#,,*,,,,#...#.).#.DcQ(}[..#,,,*,,,*,,*
*,,*,,*,,*,,*,,,,,,,#(.#.)#,,*,,,,#.....#).(#....(#...#,,,,,*,,*
*,,*,,*,,*,,****#####.(#..#,,*,,,,#...#)....##([(##,...,*,,,*,,*
*,,*,,*,,*,,,,,........)..#,,#....#.........###.##*,,,.,,,,,*,,*
*,,*,,*,,*,,,,,........(..#,,#...[#...........)...,,,,,,,,,,*,,*
*,,*,,*,,*,,***#########..#,,#....#...#).......#...,,,,,*,,,*,,*
*,,*,,*,,,,,,,,,,,,,,,,.....,#....#.................,,,,,,,,*,,*
*,,*,,*,,,,,,,,,,,,,,,,..(...#$...#...#.#.....#.#...,,*,*,,,*,,*
*,,*,,*,,*************#####..#....#...†..........,,,,,,,,,,,*,,*
*,,*,,,,,,,,,,,,,,,,,,,,,,...#....#.).#.#(#..#.#,*,,*,*,*,,,*,,*
*,,,,,,,,,,,,,,,,,,,,,,,,,........)))(...(.......,,,,,,,,,,,,,,*
*,,,,**********************#.......)#############**********,,,,*
*,,,,,,,,,,,,,,,,,,,,,,,,,...................,,,,,,,,,,,,,,,,,,*
*,,,,,,,,,,,,,,,,,,,,,,,,,.!........(........,,,,,,,,,,,,,,,,,,*
**************************###################*******************