Problem Statement
We can consider the mansion to be a matrix of N rows and M columns. Each cell can either be empty (a corridor) or blocked (a wall). Initially Elly is located in one of the empty cells, but we don't know which one exactly. She can move to each of the (up to) four adjacent cells. Moving to adjacent empty cell takes no time at all - after all it's just making several steps. Moving through a blocked cell takes a bit more time - the girl has to break the wall first. We assume that this takes her one hour. The girl can escape through each of the cells on the border of the mansion by just stepping out (like there is a corridor outside the matrix).
Elly believes she is located in an empty cell that would take her the most time to break free, if choosing the optimal path out. Help her by finding out how many possibile such cells there are.
You are given the plan of the mansion in the
Definition
- Class:
- EllysBreakout
- Method:
- getCount
- Parameters:
- String[]
- Returns:
- int
- Method signature:
- int getCount(String[] plan)
- (be sure your method is public)
Constraints
- plan will contain between 1 and 100 elements, inclusive.
- Each element of plan will contain between 1 and 100 characters, inclusive.
- All elements of plan will contain the same number of characters.
- Each character in plan will be either '.' or '#'.
- It is guaranteed, that there will be at least one '.' character.
Examples
{".#............", ".#####........", ".#.#..#.......", ".##.#.#.......", ".#.#..#..####.", ".#...##..#.##.", "..####...###.."}
Returns: 1
There are three "rooms", one of them nested inside another one. This means the girl should be located inside the inner room (she needs to break two walls to escape).
{"..#", "...", ".#."}
Returns: 7
Sometimes Elly may be able to escape without breaking any walls.
{"#.#.#.#.#.#.#.#.#.", ".#.#.#.#.#.#.#.#.#", "#.#.#.#.#.#.#.#.#.", ".#.#.#.#.#.#.#.#.#", "#.#.#.#.#.#.#.#.#.", ".#.#.#.#.#.#.#.#.#", "#.#.#.#.#.#.#.#.#.", ".#.#.#.#.#.#.#.#.#", "#.#.#.#.#.#.#.#.#.", ".#.#.#.#.#.#.#.#.#", "#.#.#.#.#.#.#.#.#.", ".#.#.#.#.#.#.#.#.#"}
Returns: 8
Please note that the girl can only move horizontally and vertically (but not diagonally).
{"#########", "#########", "#########", "#########", "####.####", "####.####", "####.####", "#########", "#########", "#########", "#########"}
Returns: 3
Very well guarded room with three cells.
{"#...##.......#..#..#..#.#..#..###............##...", "....#.....#....#...###..#....#......#.#.......#.#.", "......#....#..#.....#.#..#...#.#..##.......#.....#", "................#..#......##........#..#....##...#", "###..#..#.#....##...#...........#.##..###..##.....", ".##..#......#...........#.##...##..#.....#.....#..", "....#..##...#..#.#........##.#....................", ".#.#.#.##.....#.........#......#.......#..#.##.#..", "..#....#......#........#...#.#...#.#....#........#", "#.#....#..#.#.#.#....#.....................#.#....", ".#....#..#.......#.........#....#.#............##.", "..##......#....###..#...#.#..#.....##........#..#.", "........#.#..........#......#........##.#.#.#....#", "....#.#..####...#..#.....#.###..##....#.#.......#.", "....#....#...#................###.#......##.......", ".#.....#..#.....##....#......................##.#.", "#.................#.......#...#...........#....#..", "............#........#.....#.#.....#.#.....#..##..", "#......#.#..#.#.##..#.........#..#.#.....#.....#..", "....#..###.#........#.#.....................##....", "......##...###..#...#.##..#..#.##....#.........##.", ".......#...............#....#...#......##....#..#.", ".#...#.##....#...#........###..##.#....#...##.....", "....#........#..............#..###.#.#..#.....#.##", ".#...#..#.....#.#...#...........#....##.....#.#...", "...#..#.#.#..##....#............#.....#........###", ".##......#.#..##.......###...##...................", "..........#.............#.#...#.....###...##..##..", ".......##...#.#...#.........#.#.....#.#..#.#...#..", "####.........#.#.....#....#.#......#.#.....#..#...", ".#.#...#..###...#.#.#.....###.#....##.....#...#..#", ".#..#.##.#.###....#.###..#..........#...#.........", "##..#.#....#..##...#.....##..#..##..............##", "#.##.##..........##.#....##......#...#.....##...#.", ".....#........#..............#.....####.######....", "..##............#..###.##...#.#...#.....#.#...#..#", "...##..#.#...#......#.#..........#..#..##..#.#..#.", "..##.####......#....#....#.....#......#....##.....", "#.......####.#......##.#.....#..#........#...##.#.", "..#.....#..###....#......#..#........#....####....", "......#.....#..................#.........#.##...#.", "...#....#....##......#.#.....#.....#....#......#..", "....#.##...#.#....#..#.#...#.......##.......#.#...", "...#..#.#.##.#.....###....#.###.....##.#......#...", ".#.#......#.....#.....#...........##...#.....#.##.", "..........#.....#...#.##....#..........#.....###..", "........##..#.....#...#....##..#......##.......#..", ".....#....##....#.....#....#.#.#.........#........", "..#...##......#.#............#....#.##...#....#...", "..##...#.#...#......#....##.#.#..#......#..######."}
Returns: 13
{"."}
Returns: 1
{"....##.#.#...#..####...#."}
Returns: 15
{"#", ".", "#", "#", "#", ".", ".", ".", "#", ".", "#", ".", "#", "#"}
Returns: 6
{"####################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#"}
Returns: 4851
{"####################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", 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"#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "##################################################################################################.#", "#..................................................................................................#", "#.##################################################################################################", "#..................................................................................................#", "####################################################################################################"}
Returns: 4850
{"####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "##################################################.#################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################", "####################################################################################################"}
Returns: 1
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"#.#.#.#.#.#.#.#.#.################################################################.#.#.#.#.#.#.#.#.#", "#.#.#.#.#.#.#.#.#..................................................................#.#.#.#.#.#.#.#.#", "#.#.#.#.#.#.#.#.####################################################################.#.#.#.#.#.#.#.#", "#.#.#.#.#.#.#.#......................................................................#.#.#.#.#.#.#.#", "#.#.#.#.#.#.#.########################################################################.#.#.#.#.#.#.#", "#.#.#.#.#.#.#..........................................................................#.#.#.#.#.#.#", "#.#.#.#.#.#.############################################################################.#.#.#.#.#.#", "#.#.#.#.#.#..............................................................................#.#.#.#.#.#", "#.#.#.#.#.################################################################################.#.#.#.#.#", "#.#.#.#.#..................................................................................#.#.#.#.#", "#.#.#.#.####################################################################################.#.#.#.#", "#.#.#.#......................................................................................#.#.#.#", "#.#.#.########################################################################################.#.#.#", "#.#.#..........................................................................................#.#.#", "#.#.############################################################################################.#.#", "#.#..............................................................................................#.#", "#.################################################################################################.#", "#..................................................................................................#", "####################################################################################################"}
Returns: 4
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"...................................................................................................."}
Returns: 10000
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Returns: 915
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Returns: 11
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Returns: 2
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Returns: 3
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Returns: 2
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Returns: 2365
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Returns: 1
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Returns: 400
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Returns: 17
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Returns: 2707
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Returns: 4350
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Returns: 6
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Returns: 1
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Returns: 26
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Returns: 30
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Returns: 2
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Returns: 29
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Returns: 1661
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Returns: 881
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Returns: 6191
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Returns: 1
{"...", "...", ".#.", "...", "#..", "...", "##.", "##."}
Returns: 18
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Returns: 1366
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Returns: 1
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Returns: 320
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Returns: 3
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Returns: 3
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Returns: 6
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Returns: 4
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Returns: 7
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Returns: 3
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Returns: 6
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Returns: 16
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Returns: 1
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Returns: 3
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Returns: 30
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Returns: 1636
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Returns: 1
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Returns: 1
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Returns: 2
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Returns: 9
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Returns: 4
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Returns: 4
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Returns: 6
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Returns: 1
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Returns: 1
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Returns: 14
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Returns: 3
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Returns: 6
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Returns: 2
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Returns: 77
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