**************************#################*********************
*,,,,,,,,,,,,,,,,,,,,,,,,,..........Dcc....,,,,,,,,,,,,,,,,,,,,*
*,,,,,,,,,,,,,,,,,,,,,,,,,.................,,,,,,,,,,,,,,,,,,,,*
*,,,,*********************#.....C...#######****************,,,,*
*,,,,**,,**,,**,,**,,**,,**,.D..C.Dc.#.#.#,*,*,*,*,*,*,*,*,,,,,*
*,,**,,**,,**,,**,,**,,**,,*##..Bc#p#.#.#,*,*,*,*,*,*,*,*,*,*,,*
*,,**,,**,,**,,**,,**,,**,,**#....##.#.#,*,*,*,*,*,*,*,*,*,**,,*
*,,*,**,,**,,**,,**,,**,,**,,#..P§#C#.#********,*********,*,*,,*
*,,*,**,,**,,**,,**,,**,,**,,#..PP##D##      *,*,*      **,**,,*
*,,**,,**,,**,,**,,**,,**,,**#....#.#.#    ***,,,***    *,*,*,,*
*,,**,,**,,**,,**,,**,,**,,**#....##X##   **,,,,,,,**   **,**,,*
*,,*,**,,**,,**,,**,,**,,**,,#....#9#,*  **,,,,,,,,,**  *,*,*,,*
*,,*,**,,**,,**,,**,,**,,**,,#..^.##D*****,,,,,,,,,,,*****,**,,*
*,,**,,**,,**,,**,,**,,**,,**#....#,*,*,*,,,,,,,,,,,,,*,*,*,*,,*
*,,**,,**,,**,,**,,**,,**,,**#...p#*,*,*,*,,,,,∩,,,,,*,*,*,**,,*
*,,*,**,,**,,**,,**,,**,,**,,#....#,*,*,*,,,,,,,,,,,,,*,*,*,*,,*
*,,*,**,,**,,**,,**,,**^,**,,#....#*,*****,,,,,,,,,,,*****,**,,*
*,,**,,**,,**,,**,,**,,**,,***,,,,*,*,*  **,,,,,,,,,**  *,*,*,,*
*,,**,,**,,**,,**,,**,,**,,***,,,,**,**   **,,,,,,,**   **,**,,*
*,,*,**,,**,,**,,**,,**,,**,,*,,,,*,*,*    ***,,,***    *,*,*,,*
*,,*,**,,**,,**,,**,,**,,**,,*,,,,**,**      *,*,*      **,**,,*
*,,**,,**,,**,,**,,**,,**,,***,,,,*,*,*********,*********,*,*,,*
*,,**,,**,,**,,**,,**,,**,,***,,,,**,*,*,*,*,*,*,*,*,*,*,*,**,,*
*,,,,**,,**,,**,,**,,**,,**,,*,,,,*,*,*,*,*,*,*,*,*,*,*,*,*,*,,*
*,,^,**,,**,,**,,**,,**,,**..........*,*,*,*,*,*,*,*,*,*,*,,,,,*
*,,,,**********************#........######*****************,,,,*
*,,,,,,,,,,,,,,,,,,,,,,,,,,...............,,,,,,,,,,,,,,,,,,,,,*
*,,,,,,,,,,,,,,,,,,,,,,,,,,....<<.........,,,,,,,,,,,,,,,,,,,,,*
*,,,,,,,,,,,,,,,,,,,,,,,,,,...<..<......,,,,,,,,,,,,,,,,,,,,,,,*
*,,,,,,,,,,,,,,,,,,,,,,,,,,..B.<<.GD..,,,,,,,,,,,,,,,,,,,,,,,,,*
*,,,,**********************#..C.Wpe(##################*****,,,,*
*,,,,,,,,,,,,,,,,,,,,,,,,,,.....HB.○○.H................,,,,,,,,*
*,,*,,,,,,,,,,,,,,,,,,,,,,,..#...s#HH.#.#.#..#.#.#..#.#,*,,,*,,*
*,,*,,*****,,,*******,,,***,,#.W.m*.H..................,,,,,*,,*
*,,*,,,** **,,,** **,,,***,,,#....*...#.#.....#^#.....#,*,,,*,,*
*,,*,,,,** **,,,***,,,***,,,,#..§.*.H.............p....,,,,,*,,*
*,,*,,,,,** **,,,**,,***,,,,,#....#...#........#.......,*^,,*,,*
*,,*,,*,,,** **,,,,,,**,,,*,,#....#......(.....).......,,,,,*,,*
*,,*,,**,,,** **,,,,**,,,**,,#....#.........###.###....,,,,,*,,*
*,,*,,***,,,*  **,,***,,,**,,*,,,,#...#..)W.##.[.##....,*,,,*,,*
*,,*,,,**,,,****,,,****,,,*,,*,,,,#.....#...#.P†.}#...#.,,,,*,,*
*,,*,,,,,,,,,,,,,,,,,,,,,,,,,*,,,,#...#...#.C*...(..#...#.,,*,,*
*,,*,,,**,,,***,,,*****,,,*,,*,,,,#.....#...#Q)pD.#...#.....#,,*
*,,*,,**,,,**,,,,** **,,,**,,*,,,,#...#.....##ep(##.....#...#,,*
*,,*,,*,,,**,,,,** **,,,***,,*,,,,#.........###○###.........#,,*
*,,*,,,,,**,,,,** **,,,***,,,*,,,,#...........9)............#,,*
*,,*,,,,**,,,*** **,,,***,,,,*,,,,#..)#.......D#........#...#,,#
*,,*,,,**,,,**  **,,,***,,,,,*,,,,#...).†).)................#,.#
*,,*,,***,,,*  **,,,***,,,*,,*,,,,#...#.#..)).#.#..)..#.#...#,.#
*,,*,,***,,,****,,,***,,,**,,*,,,,#)...†)))))..........()...#..#
*,,*,,,,,,,,,,,,,,,,,,,,,,,,,*,,..#...#)#)#))#.#.#..#.#.#...#..#
*,,,,,,,,,,,,,,,,,,,,,,,,,,,,..........)p).))).................#
*,,,,***********************,.......#######################....#
*,,,,,,,,,,,,,,,,,,,,,,,,,,,,........,,,,,,,...................#
*,,,,,,,,,,,,,,,,,,,,,,,,,,,,........,,,,,,,...................#
*****************************########*******####################