TopCoder Statistics - Problem Statement

Problem Statement

NOTE: This problem statement contains images that may not display properly if viewed outside of the applet.

"Maze on Fire" was a not-so-popular electronic game that consisted of a maze built on a grid. Each cell in the grid is empty or contains a wall. Some of the empty cells initially contain fire, and fire propagates after each turn. A playable character is located somewhere in the maze, and its objective is to survive for as many turns as possible before it ends up in a cell that contains fire (at which point, the machine will play a "BURNED!" sound).

Your task is simple enough. You must write an artificial intelligence program that can control the character in such a way that it always survives for as many turns as possible. You are given a String[] that represents the maze. The j-th character of the i-th element of maze represents the cell at row i, column j. Each cell is one of the following:

'.' : An empty cell.
'F' : A cell containing fire.
'#' : A wall.
'$' : The character.

The game is played as follows. During each turn, the character may stay in its current cell or move to an adjacent empty cell which is not on fire. Two cells are considered adjacent if they share a side. After the character's turn, the fire will propagate. Each cell that contains fire in the current turn will set fire to all of its adjacent empty cells. If the cell in which the character is located catches fire, the game will end (and the current turn will count toward the total number of turns survived by the character). Return the maximum possible number of turns the character can survive, or -1 if it is possible for the character to survive indefinitely.

Definition

Class:: MazeOnFire
Method:: maximumTurns
Parameters:: String[]
Returns:: int
Method signature:: int maximumTurns(String[] maze)
(be sure your method is public)

Constraints

maze will contain between 1 and 50 elements, inclusive.
Each element of maze will contain between 2 and 50 characters, inclusive.
All elements of maze will contain the same number of characters.
Each element of maze will contain only '.', '$', '#' or 'F'.
maze will contain exactly one '$' character.

Examples

{"F..", ".$.", "..."}

Returns: 4

The best move in this case is to take the character to the bottom right cell. Fire will reach that cell after the fourth turn. The four turns are detailed in the following picture:
{".F#...", "F....#", ".F###.", "F.#.$.", "F.#..."}

Returns: -1

There is a wall barrier between the character and the multiple cells that are on fire. It is possible to survive indefinitely.
{"....#.", "$##.#.", ".#..#F", ".F#.#.", "..#..."}

Returns: 7
{"...$..", "..#...", "..###.", "..#...", "F.#.F."}

Returns: 7

Sometimes it is best not to move the character at all.
{".F....F.", ".#.##.#.", ".#....#.", "F.$##..F", ".#....#.", ".###.##.", ".F....F."}

Returns: 4
{"F#....", ".####.", "......", ".####.", "$##..."}

Returns: 4

If simulation is not done with care, there is a chance to return 12 in this case.
{"F.................................................", "#################################################.", "..................................................", ".#################################################", "..................................................", "#################################################.", "..................................................", ".#################################################", "..................................................", "#################################################.", "..................................................", ".#################################################", "..................................................", "#################################################.", "..................................................", ".#################################################", "..................................................", "#################################################$", "..................................................", ".#################################################", "..................................................", "#################################################.", "..................................................", ".#################################################", "..................................................", "#################################################.", "..................................................", ".#################################################", "..................................................", "#################################################.", "..................................................", ".#################################################", "..................................................", "#################################################.", "..................................................", ".#################################################", "..................................................", "#################################################.", "..................................................", ".#################################################", "..................................................", "#################################################.", "..................................................", ".#################################################", "..................................................", "#################################################.", "..................................................", ".#################################################", "..................................................", "#################################################."}

Returns: 1274
{"F.................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", ".......................$..........................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", ".................................................."}

Returns: 98
{"..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", ".#................................................", ".#.............#........#........#................", ".#................................................", ".#................................................", ".#................................................", ".#...........#....................................", ".#..................$...F.........................", ".#................................................", ".################.#...............#...............", "..................#...............................", "###################................#..............", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "....................................#.............", "..................................................", "..................................................", "..................................................", "..................................................", ".....................................#............", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", ".................................................."}

Returns: 50
{"..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "......##########################################..", "......#...........................................", "......#...........F...............................", "......###########################################.", "..................................................", ".#################################################", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", ".........................................F........", "..................................................", ".#................................................", ".#................................................", ".#...........#.........#########..................", ".#..................$..#F.........................", ".#.....................#######....................", ".################.#...............#...............", "..................#...............................", "###################................#..............", "..................................................", "..................................................", "..................................................", "..................................................", "............................F.....................", "..................................................", "....................................#.............", "..................................................", "..................................................", "..................................................", "..................................................", ".....................................#............", "..................................................", ".......F..........................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", ".................................................."}

Returns: 72
{"##################################################", "##################################################", "#....##.######################################.###", "#.#####.##........................############.###", "#.#####.###.#####################.#######.####.###", "#.##F...###.#####################.#######.####.###", "#.#####.###.#####################.#######.####.###", "#.#####.##....###################.#######.####.###", "#.#####.###.F.###################.#######.####.###", "#.#####.#########################.#######.####.###", "#.#####.################..........#######.####.###", "#.................###.##.########.#######.####.###", "#################.###.##.########.#######.####.###", "#################.###.##.########.#######.####.###", "#################.###.##.########.#######......###", "####..............###.##.########.############.###", "####.################.##.########.############.###", "####.################.##.########..........###.###", "####.##..............###.#####################.###", "####.##.##########.#####.#####################.###", "####.##.##########.####...#####......#########.###", "####.##.##F#######......$.......##############.###", "####.##.##.############...#.###................###", "####.##.##..........####.##.###########.##########", "####.##.###########.####.##.###########.##########", "####............###.####.##F###########.##########", "####.##.#######.###.####.##..##########.##########", "####.##.#######.###.####.###.##########.##########", "####.##.#######.###.####.###.##########.##########", "####.##.#######.###.####.###.##########.##########", "####.##.#######.###.####.###.##########.##########", "####.##.#####.......####.###............##########", "####.##.#####.##########.#########################", "####.##.#####.##########.#########################", "####.##.#####.##########.#########################", "####.##.################.#########################", "####.##.################.#########################", "#######.###...............................########", "#######.################.################.########", "#######.################.################.########", "#######.################.################.########", "#######.################.################.########", "#######.################.################.########", "#######.################.################.########", "#######...................................########", "#######.################.#########################", "#######.################.#########################", "#######.################.#########################", "#######F.................#########################", "##################################################"}

Returns: 47
{"##################################################", "##################################################", "#....##.######################################.###", "#.#####.##........................############.###", "#.#####.###.#####################.#######.####.###", "#.##F...###.#####################.#######.####.###", "#.#####.###.#####################.#######.####.###", "#.#####.##....###################.#######.####.###", "#.#####.###...###################.#######.####.###", "#.#####.#########################.#######.####.###", "#.#####.################..........#######.####.###", "#.................###.##.########.#######.####.###", "#################.###.##.########.#######.####.###", "#################.###.##.########.#######.####.###", "#################.###.##.########.#######......###", "####..............###.##.########.############.###", "####.################.##.########.############.###", "####.################.##.########..........###.###", "####.##..............###.#####################.###", "####.##.##########.#####.#####################.###", "####.##.##########.####...#####......#########.###", "####.##.##.#######......$.......##############.###", "####.##.##.############...#.###................###", "####.##.##..........####.##.###########.##########", "####.##.###########.####.##.###########.##########", "####............###.####.##F###########.##########", "####.##.#######.###.####.###.##########.##########", "####.##.#######.###.####.###.##########.##########", "####.##.#######.###.####.###.##########.##########", "####.##.#######.###.####.###.##########.##########", "####.##.#######.###.####.###.##########.##########", "####.##.#####.......####.###............##########", "####.##.#####.##########.#########################", "####.##.#####.##########.#########################", "####.##.#####.##########.#########################", "####.##.################.#########################", "####.##.################.#########################", "#######.###...............................########", "#######.################.################.########", "#######.################.################.########", "#######.################.################.########", "#######.################.################.########", "#######.################.################.########", "#######.################.################.########", "#######...................................########", "#######.################.#########################", "#######.################.#########################", "#######.################.#########################", "#######F.................#########################", "##################################################"}

Returns: 63
{"########################################", "########################################", "############################.......#####", "#####..........#############.#####.#####", "#####.########.#############.#####.#####", "#####.####.....#############.#####.#####", "#####.########.........#####.#####.#####", "#####.################.......#####.#####", "#####.######################.#####.#####", "#####.######################.####..#####", "#####.##############.........#####.#####", "#####.############################.#####", "#####.###########################..#####", "#####.............................######", "#####.##################################", "#####.##.....................###########", "#####.##.######.############.######.####", "#####.##.######.##.......###.#####..####", "#####.##....###.##.#####.###.####..#####", "#####.#####.###.##.#####.###.###..######", "#####.#####.###.##.#####.###.###.#######", "#####.#####.###.##.#####.###.....#######", "#####.#####.###.##.#####.#######.....###", "#####.#####.###.##$...##.###########.###", "####..#####.###.#####.##.###########.###", "####..#####.###.##F##.##.###########.###", "###..######.###.##.##.##.###.........###", "###.........###.##....##.###.........###", "###############.########.###############", "###############.......##...............#", "######################################.#", ".................................#...#.#", ".###############################.#.#.#.#", ".###############################.#.#.#.#", ".##########################......#.#.#.#", ".##########################.######.#.#.#", ".##########################.######.#.#.#", ".##########################.######.#.#.#", ".##########################.######.#.#.#", ".#########..................######.#.#.#", ".#################################.#.#.#", ".##................................#.#.#", ".##.################################.#.#", ".##.#########.####.###.............#.#.#", ".##.#########.####.###.###########.#.#.#", ".##................................#.#.#", ".###################################.#.#", ".....................................#.#", ".#####################################.#", ".......................................#"}

Returns: 242
{"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFF.......FFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFF.......FFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFF.......FFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFF...$...FFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFF.......FFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFF.......FFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"}

Returns: 3
{ "....#...#...#...#...#...#...#...#...#.....#.......", ".##...#...#...#...#...#...#...#...#..#..#..#..###.", "..##################################..#..#..#..#..", "#.#...#...###........$..............#..#..#..#..#.", "..#.#...#.##..#####################..#..#..#..#..#", ".##.####..#..#.....................#..#..#..#..#..", "..#.###..#..#..###################..#..#..#..#..#.", "#.#.##..#..#..#...................#..#..#..#..#...", "....#..#..#..#..#################..#..#..#..#..#..", "####..#..#..#..#.................#..#..#..#..#..#.", ".....#..#..#..#..###############..#..#..#..#..#..#", ".####..#..#..#..#...............#..#..#..#..#..#..", ".###..#..#..#..#..#############..#..#..#..#..#..#.", ".##..#..#..#..#..#.............#..#..#..#..#..#.#.", ".#..#..#..#..#..#..###########..#..#..#..#..#.#.#.", ".#.#..#..#..#..#..#...........#..#..#..#..#.#.#.#.", ".#.#.#..#..#..#..#..#########..#..#..#..#.#.#.#.#.", ".#.#.#.#..#..#..#..#.........#..#..#..#.#.#.#.#.#.", ".#.#.#.#.#..#..#..#..#######..#..#..#.#.#.#.#.#.#.", ".#.#.#.#.#.#..#..#..#.......#..#..#.#.#.#.#.#.#.#.", ".#.#.#.#.#.#.#..#..#..#####..#..#.#.#.#.#.#.#.#.#.", ".#.#.#.#.#.#.#.#..#..#.....#..#.#.#.#.#.#.#.#.#.#.", ".#.#.#.#.#.#.#.#.#..#..###..#.#.#.#.#.#.#.#.#.#.#.", ".#.#.#.#.#.#.#.#.#.#..#...#.#.#.#.#.#.#.#.#.#.#.#.", ".#.#.#.#.#.#.#.#.#.#.#..#.#.#.#.#.#.#.#.#.#.#.#.#.", ".#.#.#.#.#.#.#.#.#.#.#.#F.#.#.#.#.#.#.#.#.#.#.#.#.", ".#.#.#.#.#.#.#.#.#.#.#..##..#.#.#.#.#.#.#.#.#.#.#.", ".#.#.#.#.#.#.#.#.#.#..#....#..#.#.#.#.#.#.#.#.#.#.", ".#.#.#.#.#.#.#.#.#..#..####..#..#.#.#.#.#.#.#.#.#.", ".#.#.#.#.#.#.#.#..#..#......#..#..#.#.#.#.#.#.#.#.", ".#.#.#.#.#.#.#..#..#..######..#..#..#.#.#.#.#.#.#.", ".#.#.#.#.#.#..#..#..#........#..#..#..#.#.#.#.#.#.", ".#.#.#.#.#..#..#..#..########..#..#..#..#.#.#.#.#.", ".#.#.#.#..#..#..#..#..........#..#..#..#..#.#.#.#.", ".#.#.#..#..#..#..#..##########..#..#..#..#..#.#.#.", ".#.#..#..#..#..#..#............#..#..#..#..#..#.#.", ".#..#..#..#..#..#..############..#..#..#..#..#..#.", "..#..#..#..#..#..#..............#..#..#..#..#..#..", "#.##..#..#..#..#..##############..#..#..#..#..##.#", "..###..#..#..#..#................#..#..#..#..#.#..", ".#####..#..#..#..################..#..#..#..#..##.", "..#...#..#..#..#..................#..#..#..#...#..", "#.#.#..#..#..#..##################..#..#..#..#.#.#", "..#.##..#..#..#....................#..#..#..#..#..", ".##.###..#..#..####################..#..#..#..###.", "..#.####..#..#......................#..#..#..###..", "#.#.....#..#..######################..#..#..####.#", "..#####.##..#........................#..##.#####..", ".#...#..###..########################..###..#...#.", "...#...#####..........................#####...#..." }

Returns: 1433
{"...............#..................................", "..........#.....#.................................", "..........#......#................................", "..........#.......#..................##...........", "..........#........#.................#............", "..........#.........#................#............", "..........#..........#...............#............", "..........#...........#..............#............", "..........#............#.............#............", "..........#.............#............#............", "..........#..............#...........#............", "..........#...............#..........#..........#.", "..........#................#.........#.######...#.", "..........#.................#........#......#...#.", "..........#..................#.......#..#.#.#...#.", "..........#...................#......#..#.#.#...#.", "..........#.............................#.#.#...#.", ".#........#.........#####################.#.#####.", ".#........#.........#.....................#.......", ".#........#.........#.###########################.", ".#........#.........#.#.......................#...", ".#........#.........#.#.......................#.##", ".####################.###.....................#...", "..........#...#...................#.#.#.......###.", "..........#.#.#.#.###.##.........#....##........#.", "..........#.#.#.#.F#...#.F......#.......#..######.", "..........#.#.#.#..#.$.#.......#........##.#....#.", "..........#.#.#...F#####.F....#..........#.#..#.#.", "..........#.#.#....F.F.F.................#.#..#.#.", "..........#.#................#...........#.#..#...", "..........#.#########........#...........#.#..####", "..........#..................#...........#.#......", "..........#.###..#############...........#.#......", ".........................................#.####...", "........#############################....#....#...", ".........................................#....#...", ".........................................##...#...", "..........................................#...#...", ".................................#........#...#...", "...............................##.........#...#...", "..............................#...........#...#...", "..............................#...........#.......", "..............................#...........#.......", "...............................##.........#.......", ".................................#........#.......", "..................................#.......#.......", "...................................#..............", "....................................#.............", "....................................#.............", "....................................#............."}

Returns: 77
{"F...........#....................................F", "###########.#.####################################", "............#.....................................", ".################################################.", ".......................##.........................", "######################.##.#####################...", "....................##.##.#...#...............#.##", ".......................##.#.#.#.#############.#...", "........................#.#.#.#.#...........#.#...", ".########################...#.#.#.......#.###.#...", ".#...#..................#####...#.............#...", ".#.#.#......###########.....#####......##########.", ".#.#.######.#.........#.........#......#........#.", "...#........#.#######.#.........#......#..####..#.", "###########.#.#.....#.#.........#......#.....#..#.", "............#.#.###.#.#.........#......#.....#..#.", ".#.##########.#.#F#.#.#.........#......#.....#..#.", ".#............#.#.#.#.#.........#......#.....#..#.", ".##############.#.#.#.#.........#......#.....#..#.", ".#..............#.#.#.#.........#......#.....#..#.", ".#.##############.#.#.#.........#......#.....#..#.", ".#.#...#...#...#..#.#.#.........#............#..#.", ".#.#.#.#.#.#.#.#..#.#.#.........#............#..#.", ".#.#.#.#.#.#.#.#..#.#.#.........#............#....", ".#.#.#.#.#.#.#..#.#.#.#.........############.#####", ".#.#.#.#.#.#.#..#.#.#.#.........................#.", ".#.#.#...#...#....#.#.#.........................#.", ".#.#.##############.#.#.........................#.", ".#.#................#.#......#..................#.", ".#.##################.#......#..................#.", ".#....................#......#.#................#.", ".######################......#.##################.", ".............................#..................#.", "...###########################.#############....#.", "................................#......#......#.#.", "...............................#..#...#.......#.#.", "...######################.....#..#...#..#######.#.", "...#....................#....#..#...#...#.......#.", "...#.###############....#...#..#...#....#...#####.", "...#.#.............#....#..#..#...#.....#...#...#.", "...#.#......F......#....#.#..#.###......#...#.#.#.", "...#.#.............#....##...#..........#.###.#.#.", "...#...............#....#....#.##########.#...#.#.", "...#.###############...#....#..#..........#..##.#.", "...#...............#..#.....#..#.#.########..#..#.", "...#################.#......#..#.#.#.........#..#.", "....................#..#########.#.#.#########.##.", "...................#.............#...#..........#.", "...................####.##############.##########.", "..................###F.$.........................."}

Returns: 124
{"##F#F.FFF.F##.#..F#F#..#..#","#FF.F#FFFF#F.##..###F#F##F.","F.F##...##..#FF#F..FF.#F###","#F##F.F#.#F#FF..##FF###.###","..##F#..F.#F#FF..#F#F.FFF.F",".#FFF#F#FF..F#.#..#..FF#F#.","FF.FFF#F.###F#F#F..FF.F..#.","F..##..#F#.FFF####.FF##F#..","FF##.F..F#F.F.##.#.F##.##F#",".###.F##.#.#F#F.F.F#.FF#...","F.##FF.FFFF.#.FF.FF.##.F##F","..###F..#####F.FFFF###.F#FF","F.#...FFFF.###FF#FFF#F###.F","#F#F.F#F###...###.F#.F#F##F","##F...#...FF###.F.F#FF#FF.#","#F#F##.#.#F##.#F..FF.#F#.#F",".##.###.#..##..FF.#.#..#F.F",".#...#..#.FF##F.#...#F...F.","#...FFF.F#...##F.##F.FFF.FF","FFF#FF..#$FF.F#..F.F.##.#.#","F##F#FFF#.#F.#.....#..F.##F",".F.FF#.###.#FF##..F.F.....F"}

Returns: 2
{"FF#F#F.F#.$FF..",".FF##.#F#.F#.##"}

Returns: 2
{"###.#FFF#F##.F##F","F..F.F..F.....FFF",".#.#.#.$..#.FF.##","F#.F##F#.#.F...##"}

Returns: 2
{"F#F.#F$#FFF.F.#F.#.F..#.F.###..F##","F.F.F#...##.###F.#.##..#FF..#...#.",".FFFF##F.##.##F.#.FFF..##F.##F.#.#"}

Returns: 2
{"..#..F.F..#..F#.#.#F#.#FF#.F.#....###","###F...#...##...#.#..#F.#F.F####....$","F###.F#.FF#F.FFF.F.FF#.#F#.#F##.#FF.#","#..F#.#.#F...FF#FFF#FF.#.##..F##..F#F","FF##FF##FFF.F#F#..F.###...###F#.F#.#F","#.##F.F##F.FFF.FFF##.F#..F#...##F.##F","F##F.FFF#.F#.F#.F.#F.FF.F.#.F#.#.F.#F","#F..#FF##F#.#F.#.###F.##.#####..FFF#F",".F#FFF#.#.F#..FF#F######FF#.FFFF...F#","F#FF....#..#..#.#F###..#.F#.FF##.##..",".F.#FFF##FFF#F#F.#..F#.F#F#F#FF#F.FFF","..#F..FFF..F##F..#F.##F.FFF..#F...#.F","##F##FFFF#F.F...F####...F#FF#...F#F.#","F#..#.F.F#F#F..#...##FFFF.F#FF....F#.",".#FFFF..#F.F....##F.#..FF..#...#F#F##"}

Returns: 3
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Returns: 1
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Returns: 27
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Returns: 17
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Returns: 510
{"F...", "#.#$", "..##", "...." }

Returns: 4

Statistics

Problem Statement for "MazeOnFire"

Problem Statement

Definition

Constraints

Examples