###################*****************##################**********
#..........CcHe*)o.,,,,,,,,,,,,,,,,,.......opWp....Oo.,,,,,,,,,*
#(........[Cpppppp.,,,,,,,,,...,,,,,...p.C.ppo(....c.p,,,,,,,,,*
#....##############*########..,,,,,,##################*****,,,,*
#(....e..,,,,,,,,,,,,......puG,,,,,,,**   *****,,,,,****,,,,,,,*
#..#.....,,,,,,,,,,,,,.....c.#,,,,*,,,*****,,,,,,,,,,,,,,,,,*,,*
#.e#,.#..*,*,,*****,,#,#..#oo#,,,,**,,,,,,,,,,,,,,,,,,,,,,,,*,,*
#))#,,..#*,*,,**,**,,#.*#.ppo#..o.#**,,,,,,,,,,,,,,,,,,,,,,**,,*
#÷)#,,,##,,*,,**,**,,#..*#opc#p...# **,,,,,,,,,,,,,,,,,,,,,**,,*
#.c#,,**,,**,***,***,*#..##CC#....# **,,,,,,,,,,,,,,,,,,,,,**,,*
#pC#,,,,,**,,*,*,*,*,,*#.....#o...#**,,,,,,,*******,,,,,,,,**,,*
#C.#,,****,,**,*,*,**,,####C.#o...#*,,,,,,,*******'*,,,,,,,**,,*
#.p#...,,,,**,,,,,,,**,,,..H.#oo..#*,,,,,,***,,,,,,'*,,,,,,,*,,*
#§§#...,,***.,,*,*,,,**#.....#)o..#*,,,,,,**,,,,,,,**,,,,,,,*,,*
#§§#..##**,.c,**,**,,,,####..#....#,,,,,,,**∩,,∩,,,**,,,,,,,*,,*
#§§#...,,,.#*,**,**,**,,,,...#x(p.#,,,,,,,**,,,,,,,**,,,,,,**,,*
#§§#...**..#,,**,**,,*,,**...#ppcc#.......##*,,,,,***,,,,,,**,,*
#§C#..##op#*,#**,***,**,,##..#ppc.##.......##*******,,,,,,,**,,*
#.p#.(...#*.C#,#,*,*,,**,,,,,#cpcp##........##*****,,,,,,,***,,*
#..#.)####..#*.#,*,**,,****,,#cD.C##..........,,,,,,,,,,,** *,,*
#..#.C(...(#*..#,*,,**,,,,,,,#.pD.##..........,,,,,,,,,,,** *,,*
#..#OOp..###..#*,**,,***,,.,,#....##..........,,,,,,,,,,,,***,,*
#(.#.C####...####***,,,***#.,#....#...........,,,,,,,,,,,,,**,,*
#..#.))().........,,,,,,,,..p#p.Wo#op.........,,,,,,*****,,,*,,*
#..)))()))........,,,,,,,,....Opppp.X..####...,,*****   **,,,,,*
#...)#######################..p..pHD#################******,,,,*
#..............p.Dp.p....oo...p<<Cppp..p.....).......,,,,,,,,,,*
#...)........p.§.Op.p....X....<.)co1px...............,,,,,,,,,,*
#..............G..............CCCDpoepL.p............,,,,,,,,,,*
#.....(...........W......xo.............X.D..........,,,,,,,,,,*
#....#######################..u....H#################******,,,,*
#...%.,,,,,,,,,,,,,,,,,,,,..........C***,***,***,***,***,*,,,,,*
#..#.#****,,,*********,,,*##.#....#...*,,,*,,,*,,,*,,,*,,,,,*,,*
*,,*,**  **,,,**   **,,,***#.#....##.......,,,,....,,,,,,,,**,,*
*,,*,,**  **,,,** **,,,****.,#....###.....,,,,,....,,,*,,,,,*,,*
*,,*,,,**  **,,,***,,,****,,,*.,,,##......,,,,.....,,***,,,**,,*
*,,*,*,,**  **,,,**,,****,,*,*,,,,#......,*,,,...#,,** **,***,,*
*,,*,**,,**  **,,,,,,***,,**,*,,,,*#.....***,...#**,,***,,,**,,*
*,,*,***,,*   **,,,,***,,***,*,,,,*##...## *#..##}#*,x#,,,,,*,,*
*,,*,* *,,*    **,,** *,,***,*,,,,##...e.###..#*:\!*#..,,,,**,,*
*,,*,***,,******,,,*****,,**,*,,,,#.......#..#*,!:##...,,,***,,*
*,,*,,,,,,,,,,,,,,,,,,,,,,,,,*,,,,##........##,,[.#..),,,,,**,,*
*,,*,***,,*****,,,******,,**,*,,,,*##......##,,,....#,,,,,,,*,,*
*,,*,***,,***,,,,**  **,,***,*,,,,##....†.##,,,,...#**,,,,,**,,*
*,,*,**,,***,,,,**  **,,***,,*,,,,#.....#..##,##..## **,,,***,,*
*,,*,*,,**,,,,,**  **,,***,,,*,,,,##...###..###....##*,,,,,**,,*
*,,*,,,***,,,***  **,,***,,*,*,,,,*##.#* ##..#......#,,,,,,,*,,*
*,,*,,***,,,**   **,,***,,**,*,,,,##...###.............,,,,**,,*
*,,*,** *,,,*   **,,***,,***,*,,,,#.....#OC............,,,***,,*
*,,*,*  *,,,*  **,,***,,** *,*,,,,##.....pW............,,,,**,,*
*,,*,****,,,****,,,**,,*****,*,,,,#.....#C{.#...#...#..,*,,,*,,*
*,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,....#.###.###.###.##*.***,,,,,*
*,,,,***********************,,,,,...*##**###*###**##*******,,,,*
*,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,%,,,,,,,,,,,,,,,,,,,,,,,,,,,,,*
*,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,*
****************************************************************