#.########################################################################################################################
#.<v>><<<^v<>^<^vv.^<^^^<^v><>vv<v^.^v>v.^><v..<><..vv><v.<.v<<^.>>>>>>^<^>^>vv<^>>^v^.<.<<>^<<>^>>^>.><>.^>.v^<<><<^vvv<#
#>.<v>v<>v>vv^.<>^^v.><<^>^v^<>v^>>>><<^<^vv>v>><^>v.^v<<^v<.<>v>>^><>>^>^<>v<><<>.v.^<.<<>vvv<^v.<>v>^^vv^^^<>^^<<<^<v>>#
#><.<<vvv<>.vvv<><^<>v<.v>v.<>^>^v>^<<><vv^<v>><vv<<><^^^v^>^..<<^<.><v<v>^^v.<<vv<v^^>vv><<>^v><>><>^<^^^^v^<>><.vvvv.<>#
#>v>^v>>vvv<v><>.><>.>>v>vvv<v<v<>^>>><<>>><.vvv.<>.<>^<>v><<v^^<>v>.>^^v^.^><^<^<<v<<^<^<^<vv.><<^^^><vvv.>v><>^v^.<<>v>#
#<^>v>vvv>v<v<vv<<.v<<v<^<v^.^v.>.>v^<..^.^<..^>>^vv^<<vv<><v.<<>>><^v><>>vv.v<^.v<v>^<>v.>^<.^v>><<>v><v^<><v>vv>><<^>>>#
#<^v<>vv<v^^>^>><<^<<v<>^<vv<<<^vv^<>>^^<.<<^^.v<^<><vv^v.v<>>v^<^^>v>v>><v<v>v^<<.^<<^>>><^v<>^^<>v>><>.v>v.^>><>.<v>^<>#
#<.<.>vvv^^.^.<v.>^<<<.<>>>v^><.v>v.>^^<^>^><vv^<.<v>>>^>v.v<>.^^^^.^<v<v^.v>^>v.<^>>^<v<>vv^<vv<<<v<<.>^vv>>v><^^.><>>.>#
#><>v<<^v^v^^><v>>v^>>.v<>>>>.><^>>>.v<v>v^>>vv>.v>v^v<v^<<>>>><<<>v.v<v<^^.<>v.^<v>vvv^vv>^v..<^^^^^v^>v<<.^^<>.vv.^^>><#
#>.v^^.v<vv^v<^^>v^<>.<><^^.<v<vv.v>v.^^<v^v^>>^>v<^<v.^><.<<<vv^^<v^<>>.v^.>v<>>^>vvv<vv<<^<><^^^v<<<^>>v^vvv^vvv>v>^<>>#
#><^<<vv^>^<^v.><vv<^v>>^<>^>><<<<<^..^^<<^>v>.vvv^vv^>>v^v^^v<.<.v^<>v^<<><<v<^>^vv><>>^v.v.^>>^>^><>v<<<^<v<<^^v<^^^vv<#
#><><<><.<<>>>>>^v^<v^>>^..v>^<v^<<^.><>.<<.>v>v<>.<v<<<><<>.<vv^vv>v<.v>^<>><v><<>>v<>>^><.vvv.><^<><^v>v<^v>^v<>>^.v.<>#
#<>><^.^^v^v><^^<.>v<>^><>v^.v>vv^>>>><^vvv>>.>.<>vv>^>v<.^>^<v<>v>^v>^v>v^^vv.<<>^<..^v<>v<>vv<<<^v<^v<v<>>^^v>><v><v^<>#
#><.<v..^<><^v><>v>>vvvv^vvv.^.v>v^^.>vvv^^<>vvv>vv<vv>>>>>^>v.>.>^><>^^.>>.^<v>.vv^<v>><vv><>><^><v^..<v^>^<<<.<<.>.v<^>#
#><<v<>vvvv<^>^.>^.<<.<v^v<<<^^^.>.^^>.v<>^v><v^vv^<<<<<.v<v>^^>^vvv<<<v^<v<.<vv>>.^v^v<<>v^..v^<v>^<>><<>v^vv<^.^.><v^><#
#<.<vv<v^^v>v><.>v^vv..<><.v>^>^^^^^>v^v><v<v><^>v<<v^<^^.<>v<^v>^<v^v^^<v^^>.v.>>>^^>.^^<>v>><v^>^^.v>vv^<^>v^><v<v<>>^<#
#<^<^><>>v<.>^>v>v<>^^<>v>v<>v>><^><>>v.v^v^^^v^^vv<^>><<v><<v><>^^^>^<<<>.^<>>>.>v.v^..^<^>>>>.^>^^.>>^<v^>>^<^<v^><.^<>#
#>><^v><>v><v^<><vv.v<v<<^<.v><.^^>.^v>^v^v.vv<^.><^^.^<>vv>>>.>v^.<^<^v>^v.<<<v^v<>vv><v^.<^>.^v^v>^<.<<.^v^>^^<>>.^^v<>#
#>.^v^>v<..<v>v^.<>^.>^<^v.^><>^>^><^>><v<v>^<<v<<<><v<vv<v^^.<v>.>.^.<><v^<v<vvv<>>^<vv<<v>.v.^v>v<>v>v>v>>^^v>v<>^^^v<<#
#<v>v><<>>v<^>v^v>.>v>><^v>v^>....v<<^^^^vv<>><^<^^v^>>^<<^^>^<.^^<>v<vv.>v^<^<<>v^vv^^.^>^.^>>.<>^>.v^<>^.<.<<v<<^^>^^.<#
#>vv<v^v^<.v^><^^>^^v<v>^v<<^^v<><^v.<<v^vv^>><.>^.^^^..v<>>^>.<v<.>.><<<.v<^<>^<>>^^<^.^>^<>>v<.>^<<<<<v<v^v>>v^^.^<..<>#
#<^^vvv^<.^<>.^^.<^<<<v<vv>>.><v>^vv^.v<>.<.>.><<^>.v<><v<^^>.v<vv.>v>vv<<<<>.>^v>>^<>.^>>^>v>.v<v><v<^^^^<^^v^v.^<..v>^<#
#<<^<v^^>>^^>v>>v><>>>>>v>v><^^^vv<v><v><>.v<<<><.v.<><><><^.^v<<^<vv^^v<v^v^>>.<v^vv<<>v^vv><^>^^>v>>v<^.<.<^^<>^^v<><<>#
#<^>>^<.>><>>v.^.>^^>>^<<><vvv^.vv>v<>>^v<>^>.^v<^^^>.<>v><<v<v>>^<^v<v>v<><<^^<.^^v<^^<<^<^<<^^>^^^<^^v<<>>>v^.vv<.v^><>#
#<vv^v.v>>.>>>.<><v<>^.v<v^>^^<<^^>vv^>>>>>v^v>vv^>.<v.<<v>vv<v^vv><.vv.<.^<vv<<^><v>.>.><<^<.vv.vv>.^^>vv>><<<vv^<><.<v.#
#<^v>><>v..><^<<>.v<.>><><.^<<<<<v<<v^.^.^<.><v.vv<v..<<>^<vv.>>>v^.<vv.v<>^>>.<v><.<<^vvv^.^vv^<>^^<.^<^<.^<<><v<<v>^<^>#
########################################################################################################################.#