Statistics

Problem Statement for "Jetpack"

Problem Statement

You want to travel from 'A' to 'B' in a maze. You have a jetpack to help you cross some pits along the way.

The maze consists of a grid of unit square cells.

  • Some cells are walls ('#'). You cannot enter those.
  • Some cells are floors ('.'). You can walk on those.
  • The characters 'A' and 'B' are the start and the desired end of your journey. Both are unique. Both count as floors.
  • Some cells are pits ('_'). You can hover over those if your jetpack is active.
  • Some cells are charging stations ('C'). They count as floors.

You can move in a sequence of steps. Each step takes 1 second. Each step will take you to a cell that is horizontally or vertically adjacent to your current cell. You cannot enter a wall, you cannot leave the maze (as if there were additional walls all around it), and you cannot enter a cell with a pit if your jetpack has no charges left.

Initially, your jetpack has no charges. Spending T consecutive seconds at a charging station adds one charge to the jetpack. You can do this arbitrarily many times during your travels, possibly at different charging stations. A jetpack can contain an arbitrary large number of charges simultaneously.

Each step onto a cell with a pit consumes one jetpack charge. (Stepping from a cell with a pit onto another cell with a pit still consumes only one charge. Stepping from a cell with a pit onto a floor does not consume any charges.)


Calculate and return the fastest time in which it is possible to reach 'B' from 'A'. If it's impossible to reach 'B', return -1 instead.

Definition

Class:
Jetpack
Method:
travel
Parameters:
String[], int
Returns:
int
Method signature:
int travel(String[] maze, int T)
(be sure your method is public)

Constraints

  • maze will contain between 1 and 50 elements, inclusive.
  • Each element of maze will contain between 1 and 50 characters, inclusive.
  • Each element of maze will contain the same number of characters.
  • Each character in maze will be one of 'A', 'B', 'C', '#', '.', '_'.
  • There will be exactly one 'A'.
  • There will be exactly one 'B'.
  • T will be between 1 and 10^5, inclusive.

Examples

  1. {"A###B", "....."}

    47

    Returns: 6

    We need six ordinary steps. Each takes a second.

  2. {"A#.#B", "..#.."}

    47

    Returns: -1

    As we cannot make diagonal steps, this maze has no solution.

  3. {"A#.#B", ".._C."}

    1

    Returns: -1

    This maze has no solution either. With an empty jetpack we cannot enter the cell with the pit, and thus we cannot get to the charging station.

  4. {"B_C_C_CA"}

    10

    Returns: 37

    One optimal solution: 1 second: Take a step left. 10 seconds: Charge jetpack. (One charge added.) 1 second: Take a step left. (We stepped onto a pit. One jetpack charge is consumed.) 1 second: Take a step left. 10 seconds: Charge jetpack. (One charge added.) 1 second: Take a step left. (We stepped onto a pit. One jetpack charge is consumed.) 1 second: Take a step left. 10 seconds: Charge jetpack. (One charge added.) 1 second: Take a step left. (We stepped onto a pit. One jetpack charge is consumed.) 1 second: Take a step left.

  5. {"___B__.", "C#####.", "AC....."}

    1

    Returns: 8

    Charging is quick. We should go up, add three charges to the jetpack and fly over the longer sequence of pits.

  6. {"___B__.", "C#####.", "AC....."}

    10

    Returns: 31

    The same maze but now charging is slower. We should take the longer route that requires less time spent on charging.

  7. {"....#.....#...#..#.......#....#...#.#..##...##...", "##..#.###..#.........#....#....###..#..#.#..#....", ".#....##.#......#...###.....##......#...#..#.....", "............#..#..#.....###.#.................B..", ".#.................#....##.#...#.....##....#...#.", "#..#.........#....#.#...#.###...#..###..#..##....", "......##..#.....#.#..##..##......##..##..........", "..#...##..#..#..........##...#..#...##.......#...", "..##...#............##...........#..##..#.####...", "#...##.#......###..##..##.............#.#.#.##..#", "#...##..#......#...#.#.##.............##..#....#.", "........#...#.....###..##..#...#...##..#..#..##..", "..#.#..#...#..#........#........#...##.#..###..#.", "........#..#...........#.#.##....#..#.....#......", "..###...#.#......##..#...#......#.###............", "##..#.....#.#..#.###...#.#.#..#..#...#....#...#.#", "...........#..........#.#....###.#....#.#....#...", "..#.##.#.#........##...#.....#.....#.#..##.......", "#.##.#....##..#.....#....####.....###..#...##....", "#.#........#.A....#.#.....#..#.#...........##.#..", "..#.#..###.#....##.....#..#..#...#......#....#.#.", ".......##..#.###......#....#.#.###..####..#......", "####........#.#..#..#.....#....#...#.#..###..#...", "...##.#..#.......#.##.............#....##...#.#..", "#...#.#..#..#.#...#...#...#..#.##...##...#..##...", ".....#................#.#.##.......#.......#.#...", "##..........#.##........#.#...#.##....#.#....#...", "#....#....#...#.......#.#........#......#......#.", "#.#....#.#..####.#.....#..#..#...................", ".....#.##.#...##.###.#.#......#......#..##.#.#.##", "..........##.........##.......#.####....#...###..", "...#..#....#...##.#.#...........#...##.#.##...#..", ".....##.###....#.###..#.#.....#.#.#.#.#.#......##", "...#.#..#....#.#.##.#.............##...#.......#.", ".####...##..#.#..#.#.......#.#..#..........#..#..", "..#......#.##..##.#.....###..#.#.#.........#.....", "......##.#...#....##....##.##...#..##..#.##..#...", "...#....#....#...#.....#..#..###...#......###....", ".....#..##...##...#...#...#....##....#...#.##....", ".#...###.##...##.#.#...#####.#...##.#...........#", "..........#....##...........#........#...#.....##", "...##...#..##...#..#..#..#.#....#.....#.#....#...", "......##...#.#...#.#.#..##.#.####....###.#.....#.", ".#.#...#..#.....#..#....###..#..#.....##.#.......", "#.....##..#....##...#............#.#......#....#."}

    248

    Returns: 49

  8. {".#....#.....#...#....#.........##............", "....###.......#.....#.##.....##.#...#.#..###.", "..#...##....##.#.....####...#....####...#.#..", ".....#....##.......##.......#.............#.#", "........#......#..##...#.#.#.#.#........#....", ".##......#...#....#....#.##.....#...##.#.....", "..#..#.#......#.....#...#.......#.........#..", "#.#.###..#.#...##.#......##.#.#.#.....#..#...", "....##..#.....##.#..........#.##....##.......", "..#..#...#####.###.#.......#....##...#.......", "..#........#.#.#.#...##..#..#.#..#..##..#...#", ".#.###..##...##.........#...#...#.......#..#.", "###..........#.###.#..........#....##..###..#", "..##.##...........#....#.##.....#........#...", "....###..#.#......#........#........##.....#.", "..##...##...##.#...#...#......#.#.#.##....#..", ".#.#..#..###......#......#..#....#.#.#...#.##", "#..#.............#...#............#..#.##...#", ".#......#..#..#.#..#..##...##.#....#.#.#...#.", "#.#....#....##.##.......#..#........##.#.#...", ".....#...##.........##.###..#..#......#.#..##", ".###....###.#....##........###.##.....##.##..", ".###...##.###......#..###...#..........#.##.#", ".#.....#....#...#.#.........A...##.......#...", "..#.#.##.......#..######.##.###.#.#.....###..", "#..#.......#.......#...#...#.......###..#....", "...#...#....#...##......##........##.#.#.##.#", ".#....#.#.........##.##....#......##......#.#", ".#.#..#.###....##.......##.#........#...#.#.#", "##.###B##..##.#....#.##......#...#..#......#.", "..#.#.....#....#..#..#..###.......#....#.....", "..#..#.....#.##..#.##.....#....#......#....#.", "#...##.#.#....#...#...#..####....#.#.##....#.", "....#......#...#...........##..#....#.#......", ".......###.##....#.....#..#.......#.#.#......", "..##...#......##....#.....##.#..........#.#..", "#.#.#.##....#.....#..##........#...#..#....#.", ".#.#.####..#..#.#...#...#...##...##..#....#.#", ".....#.#.........#..#..##.....###..##....#.##", "...##.##...#.....##.##...#.#........#..#.....", "....#....###....#..#....#.#.....#.#..#.#.##..", "......#....#.....###..#.###.#...#..#.##...#.#", "....#...........#.#..#..#....#.....#.#.#.#...", "..#.....#..###..#.###.#..#.###.#..#.#........", "...###...##...#.....##...#.........#.#..####.", "..##....#...##..#.#.###..#.......#.#.........", "...#..##..........#...##.#.#.#.....##..#.#.##", "...#.#..##...#....#....#..##........#.......#", ".##........#...........##.##..#....#.#...##.#"}

    8

    Returns: 40

  9. {"...#.##....#.#.......#.#.##.#...#...##....B...#.#", "..###...#.....##.#...#.#.##..#..###...#..#..#....", "###..#...........#...#.......#.....#.#.#....#.##.", ".....#......##.#.#....#.#.##.###.#......#.##.#..#", ".#.#..#...#..#.##.......###..##..#.#.##..##.#..##", "##....#....##.........#..#..#.#....###......#....", ".....#....#.#.#.#..##.###.#...#.#...#.##..#.#..#.", ".#...##.#.#...#...#.###...#....####........#.#.#.", ".#.#.....#.###..#...#..#.#.#.##...#.....###...#.#", ".#...#..#.#.##.#....#..#.....#.#.#...#.#....#....", "##......##.....#..#.........#.#...#.#....##...#..", "....#.##..##.#....#..#.#.#.................#..#.#", "...#......#..#.#..#.##.#...###.#..#.....##..#....", "...###..#.#.#.##.#.#...##..#.##..##.......##..#..", "..#####.....#.#........#.##..............##......", ".#......#........##..#.#.....##.##...##.#.#......", "##.##..##...##....##....#..#..#.#.#......#...#.#.", "......###..#..####...#...####..#.......#.#.#.....", ".######.##.....#..#.#....#.#.....##.....##.......", "...#....##...#.##.#...#....##...#.##...#...#..#.#", "....#.......###.....##.#........#.....##..#....#.", ".#.........#.#....#...#....#.#......#....#.#..#..", ".####.#....#.....#...#....##..#.#.#...#.#..#.....", "###..#........#...#.#..#..##.#..#.......#....#.#.", ".###.#..#..###.....#.#.......##.#..#......#...#..", "..#.........##....##.#.####...#.###........##..#.", ".#.##...#....#.##.#.#...#.#....#.......#......###", "#...#...#####.#.#.#.#..#...#.....##..##...#......", "####..#.#.......#....##............#.#....##.#...", "#...#...#.####...##......#.#..##..#..##.##...#.#.", "#...#............##....#..##..#...#...#.#...#.#.#", ".......#......##..##..#..#..#..##...#....#......#", "#...#....##...#.#..#.###..###..####...####.......", "#.#..#..##.#..######...#.####.....#..##..##...###", "....#.#.#..#.A#..##.....##..#.#.#.########.....#.", "#.#.#.##.#..##.......##.##...........#.....#.....", "........#.......###....#..#.......#......#.###.##", "....#.##......#..#......###..#..#..#..##.#...#...", "..#.##.......#...#...#.##.....#...#......#.#..###", "....#####..##..#...#........##.#.###..#.#..#.##..", "#......#..##..#.##..###......#.#....#...##......#", "..###......#................#....##.......#.##...", "#.#.##....#.###....#.#.#.#.#..#.###..##.#........", "......##..#......#.#...##..#...#..#...#.#......#.", ".........#..#.##.............#...........#.##.#.#", "..........#..#........#..........##....###.....##"}

    44

    Returns: -1

  10. {"..##.........#.............#.....#.#........#....", "#####...#.#.........#..###......##.#.....#...#...", "..##....#.#.#..#.#....#..#........##.#.#..#..#.#.", "......#.......##.........#...#..#..#....#........", ".....#.##..#..........#....#.......##.#######.###", "###.#.#.##...#.#.##...#..#.#...##.######......#.#", "#....##.#.....###.#..##.#..#.........#......#.##.", "###.#.....#...##..##..#.#.#.#......##..##.#.#.#..", "..#....##.###..#.##.....#.##......#.......##....#", "......#..#...#......###.###..#......##...#...#..#", ".##............#....#..#..#.#.......##.#.##...#.#", "..#####..#...#...##.#..##......#...##..#...##....", "..#..#......#B.#.##.##..........##....####......#", "##.....####..#.#.#........#.#.#..#........##....#", ".......#...##...####..#......#.#....#...#...#.##.", ".......#.#.....##...#.###..##.##........##..###.#", ".#...##..#.....#...#...##.....##...#....#..#.....", "..#..#.#..#.#....#..#...###....#.....##....#.###.", "...###....##..######.##...........#...####.......", ".#.###..#.#.###..#..#.....#..#.....#.#....###....", "....#..#.....##.##...#.#....#....##..#......#.#.#", ".#...###.#..##.........##.#.##.........#..##...##", ".##....#...###....#...###.#....#....##.##......#.", ".###.......##.##.#.#.#...#..##..##.#..###......##", "#..#.....#...####.#....##.....#.#..#...#..##.....", "#.#..#.#.#.#...##..............##.......###.#..#.", "...#.##...#....#.#.##....#....###............####", "#..##..#.#...#..##.#....#....###..#..#.......#.#.", "#.....#.#.....#......#......##...#....#......#.#.", ".....#..#....#.....#....###....#.#..#.###..#.####", ".#.#...##...#......#.##.......#.#.#.#.......####.", "..#.###....#.#.....###...##.....#........#.......", "....#......####....#.###..#..####.#.#...#..#..#..", ".........###.#.##.##.#.#...#..##....#....#..#...#", "..#...#.#.......##.#..###.##...##.#...#.#..##A..#", "#.#...#.#.#....#.##..#.##.............##.....#...", "..#....#.#.#.....####.#.....#.##.......##.#.#....", ".#..#..#......##......#...#.#....#..#...#....##.#", "#...#..####...#...#...#...#............#...####.#", ".#.##...##...........#.#.#....#....#...#.######..", "##..##....##.##...#.##....#..##.....#.#..#.#....#", "#..###.##.....#....##...####..#.....#.#....#.....", "...##.#...#..#....#.##..#...#..##......#.........", "#......##...####.....##.#.##.##...#....##...###.#", ".#...##..##..##..#..#..##.#......#.......#####...", "..#...###....#.#.##.....#.##.#.#.#..####..##..##."}

    152

    Returns: 58

  11. {".#.#.#...#...#...#....#..##...#.....#..#..#....#.", "#.#.#...##..........#.#...#..###..........##..#..", "###.#.###.....#....#...####.#...##..##........#.#", "..##...###.....##...#....#.###.....#.#.##.......#", "#..#..#.##.#...#...#....#....#..##...#.#.....####", "...#.....#..##....#...##...###...#.......#.##.##.", "##.####....#...##....##.#...##.##..#...##...#....", "........#....##.......#...#.#.#.#.##..#..#....#..", "#........##.....#.#..##..#..##..#..............#.", "..#...........#.#....##..#....#.................#", "....####...........#..#...#.#...#.##...........##", "..#...###.#...#.####.###....#...#...#..#....#.##.", ".#.....#...........####.##..####....##...##..#...", "#......#..###...#....#.##.#.....#.....#...#.#....", ".#..#.#..#....#.#.#.#...#.##.......###.#..#..#...", "#...#.....#.#.#....#........#.##.#.#.##.##...##..", ".####.##.#....#...#..#.......########...#.#....#.", "..#..##...#.#..#..#..#.#...#.#.##...##.##.#.##...", "#...##.#...###...#..#..#..#......#.##.##...##.#.#", "..#....#..#..#..##...#....#...#.#.##....#..#.....", "...#.##.##.......#.#....##..#.#.#...#.#.#...##...", "###..#....#..#.#...##.#..##......#...###..#......", ".......##..####...#B..##.#..###..#....#...#.#..##", ".##......#......#..#..##..#.##.#......#...#...#..", ".....#..#....#....##.#..###.####..#.#....####.#..", "....#...#..#..#....#####......##....#.#..#..####.", ".#..#...#..#...#.#.##....#......###...#..........", "..#..#.......#..#......#..#.#..#.#..###...###....", "#..#....#.........#...#..#.#..###.#......#..#...#", "..#.#.#.##...#.#..#.............#.#...##.#..#..#.", "#........#......##.##..#....#...##....##..###.###", "..#..##......#..#.#.....##...#.......#...........", ".#...#.#...............#..##....#.....#.#.######.", ".#..#.##.###...#....#...##.........#......#.#.#..", ".###..##.###......#..###.#......##............#..", "..#..#.......###....#.......#.##.#.##.....#......", "...#..##..#..#......#....##....###..#.#...#..##..", ".#.##.##...##.#........###.#.......#......#..##..", ".#..#......#..........##.#..##.......#......##..#", "..##.....###..#....#......#......#..#..##....#...", "..##....######..#.#####..#.#.#.###.#...#....##...", "..#.##..###..##.##.##.#...#.....##.....###..#....", "###.#...#..........###.#...#.....#...............", "#..#.....#..#...#..#..##.##.......#...##.#....#..", "..#..#.#...#..#..##......##.....#.##......#...##.", "#...#..#.....##.#.##.#..#...#..###....#####.#..##", "...#.##......##..#.#..#.A#...#..#...##....#.###.#", "#....#...........#...........#.##.........#......", "..#.....##.....#.....#.....#.......##.....#.#..#."}

    1679

    Returns: 49

  12. {".....###...###..#....#.#..#.#..#.............", ".....#..#..........#....##..#....#.......#..#", ".#..#..........###.##....#.#....#............", "..#............####...#.......#.......###.#..", "#.......#....#...##.......##..#.#..###.#..#.#", ".#.#......#.#....#.##.#.....#...........#....", ".#...#..#.##...#.#.##........##......#...#.#.", "..#....#....#........#..#..#....##.#......##.", "#....###.......##...#..#..#.......#..........", "...#..##...###...#..#.#.....#..#.............", ".#..###.##......##....#.###......#....#....#.", ".#.......#....##...#..#......#..###........##", "...##.#.###.#.....#..##....#.......#....#.#.#", "...#...#.#..##....###.#.#..##.#...#....#....#", "..#......#..#.....#...#.......#....#.#.###..#", ".###..#.##..#....#.##......###...#.....#.....", "...#...#....#....A......#....##.........##...", "....#.#.#..##.............#......#.....#..##.", "#.##.....#.........#.............##...#..#...", "...#..............###...........#....#.......", ".#.##.........#......##..###.#.##...........#", ".......#................#.......#.....#.##..#", ".##....##.......##.....#.##.#..#.#..#..#....#", "..###.#...##.##.###..#....##....#........###.", ".....#....#....##.......#..###.#..#........##", ".#.......#.#.......#..###...#..#.#...#...##..", "....B.#....###.#..#.#..##..##....#..##.##....", "...#..#.##...#.#......##.#......#..........#.", "......#.#..........#....#..##.##.....#.#.#...", "##...##..#......#....###...#.....#....#.#....", ".#.......#.####...##................#..#.....", "..##...#...#...######...#..#.#.....#...#..###", ".##.......##.#.....#.#...........#....#......", "...........#......#..##.##.#......#..#...#..#", "###............#.#.#.##..#.#....#...#.##.#..#", "#...#.....#...#.#......###...#..#......##....", ".#...#...#...#.....####.............#.......#", "#.....#...#....####.####...............###...", ".#.......#....#.........###..#.........#.##.#", "....#..##...#....#...#......#..#...#.#....#.#", "..........#..#..#.##.....###....#....###..#..", "#.##.#............##.........#............##.", "..#........##............##...........#.#..#.", "#........#......#..#...#..#.....#.......###..", "...#.#............#....##....#..............#", "..#.#......#...##..#.....##...#........#....#"}

    1434

    Returns: 23

  13. {"#..#...#.....###.....#........#.....#..........", ".......#..#.....#.#.#......###...#...#.#....#..", "####.#..###.#.....##.#...#.....#.#.#.#.........", "...#.#........#...#........###.#......#........", "............#..#.#...#......#........##.###....", ".....#..#....#....##.#......#.#......#...#..#..", "...#......#....##..#....#....#..#...#..##..#...", "....#.#.........#..#...#.........#......#.#...#", "....##..##......#...##...##.#..##...##.#....#..", "...#..#.#...#..#...#.##........#....#.#..#..#..", "#....#........#..#...##........####.##....###..", "#......####..#........#..##.#...#.#............", "............#..............###.##...##.#.......", "...#.#.#.#........###...#.#.#...#...#......###.", "....#..#.........#....##..##..#...#...#...##..#", ".#..##.#..#......#..#....##......#..#.#....#...", "............#........#....#.#...#.....#.#..#..#", "#.###.##..#......#....#.#.#....#...............", "##........#..##..#.........#.....#.#..##.#..#.#", ".#...#...#.....#..##........#..#..#.....##.##.#", "#..######.#A.#...#...#.........#.......#....#..", "..#.#..#......#.#.#.#.....##..#.##...##.####...", "....#.........#.....##..#.#.........#.....#..#.", "......#.#..#..............#..#.#.............#.", ".#...#..#.....###.###.#.##.#.##...#..#......#..", "..#.#.####..#.#....##.........#....#.#.........", "#.......#..#.##..#..#..##.##.#............#....", "#...#...#..#.....#....#..#..........#.###....#.", "....#.#.#.............#.#.......###...##...#...", "..##.........#......#...#.#...###.#.###..#.#...", "....#.......#.#..#....#........#......#........", "#.........#...##.#....#...#.....#.......#..#...", "..#......#.#....##..##....#.#...#..............", "..#..#..........#.#.#...###.#.....#.##.##......", ".#.....##..#........#...#....##..#.....#.......", "....#....##...#...#........####.##..##.........", "...................#.........#.#.....#...#.....", "..#..#.#.#..##.....#.#.......#.##....###...##..", ".#....#.#..#.#...##...#...#........#...........", "...............#...#..##...#..#........##...#..", ".........#..#........###........#....#....##...", "....#..##..#.#....#.#....#..#...........#.#.#..", "..##.........#....#.#........#.##.........##...", "........#...........###..........#..B...#......", "...##...###.#....#.##...##.#.##.......#...#..##"}

    45561

    Returns: 48

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    6545

    Returns: -1

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    56

    Returns: 33

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    2376

    Returns: 29

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    592

    Returns: 49

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    616

    Returns: 58

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    38586

    Returns: 28

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    9690

    Returns: 56

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    509

    Returns: 57

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    3073

    Returns: 33

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    460

    Returns: 31

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    1

    Returns: 22

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    61608

    Returns: -1

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    180

    Returns: 40

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    10737

    Returns: 32

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    3296

    Returns: 26

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    32

    Returns: 18

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    344

    Returns: 33

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    831

    Returns: 31

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    265

    Returns: -1

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    41

    Returns: -1

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    7

    Returns: 81

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    934

    Returns: -1

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    9942

    Returns: -1

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    13

    Returns: 40

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    1658

    Returns: 16

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    17

    Returns: 472

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    235

    Returns: 953

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    5

    Returns: -1

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    11

    Returns: -1

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    35588

    Returns: 106857

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    46141

    Returns: 2214844

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    40584

    Returns: -1

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    25873

    Returns: -1

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    6

    Returns: -1

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    63501

    Returns: -1

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    59

    Returns: -1

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    20426

    Returns: -1

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    59649

    Returns: -1

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    115

    Returns: 2572

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    26483

    Returns: -1

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    37185

    Returns: 21

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    39

    Returns: -1

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    289

    Returns: -1

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    1

    Returns: -1

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    110

    Returns: -1

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    5962

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    1028

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    864

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    25

    Returns: -1

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    19

    Returns: -1

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    28080

    Returns: -1

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    24406

    Returns: 73242

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    8284

    Returns: -1

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    75

    Returns: -1

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    369

    Returns: 10020

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    5

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    5248

    Returns: 178484

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    8741

    Returns: 8784

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    15897

    Returns: -1

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    60

    Returns: -1

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    462

    Returns: 1463

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    533

    Returns: -1

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    22370

    Returns: -1

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    10

    Returns: -1

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    48

    Returns: 216

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    5396

    Returns: -1

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    47

    Returns: 145

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    47

    Returns: -1

  89. { "BCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC_C", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC_CC_C", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC_CC_C", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC_CC_C", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC_CC_C", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC_CCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC_____", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC#", "CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC#A"}

    47

    Returns: -1

  90. { "A.................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "................................................._", "................................................#B"}

    47

    Returns: -1

  91. { "B.................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "................................................._", "................................................#A"}

    47

    Returns: -1

  92. { "A..............................................._C", ".................................................#", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "................................................._", "................................................#B"}

    47

    Returns: -1

  93. { "A..............................................._C", "................................................._", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "................................................._", "................................................#B"}

    47

    Returns: -1

  94. { "A..............................................._C", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "................................................._", "................................................#B"}

    47

    Returns: 147

  95. { "A..............................................._C", "............................................._.._.", "............................................._.._.", "............................................._.._.", "............................................._.._.", "............................................._....", "............................................._____", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "................................................._", "................................................#B"}

    47

    Returns: 175

  96. { "A..............................................._C", "............................................._.._.", "............................................._.._.", "............................................._.._.", "............................................._.._.", "............................................._....", "............................................._____", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "..................................................", "................................................._", "................................................#B"}

    3

    Returns: 114

  97. { "###########################################", "###########################################", "####.....................................##", "####.######.############################.##", "####.######_###############..............##", "####.######.........#######.###############", "####.##############.#######...........#####", "####.##########...#........##########.#####", "####.##########.#.#.######............#####", "####.###...####.#.#.#######################", "####.###.#..###.#.#B__#####################", "####.###.##..##.#.###_#####################", "####.###...#....#.#A..#####################", "####.#####.####.#.#.#.#####################", "###.........###.#...#.......C##############", "###########################################"}

    60

    Returns: 140

  98. { "###########################################", "###########################################", "####.....................................##", "####.######.############################.##", "####.######_###############..............##", "####.######.........#######.###############", "####.##############.#######...........#####", "####.##########...#........##########.#####", "####.##########.#.#.######............#####", "####.###...####.#.#.#######################", "####.###.#..###.#.#B__#####################", "####.###.##..##.#.###_#####################", "####.###...#....#.#A..#####################", "####.#####.####.#.#.#.#####################", "###.........###.#...#.......C##############", "###########################################"}

    40

    Returns: 138

  99. { "###########################################", "###########################################", "####.....................................##", "####.######.############################.##", "####.####.._###############..............##", "####.####.#.........#######.###############", "####.####..########.#######...........#####", "####.#####.####...#........##########.#####", "####.#####.####.#.#.######......#.....#####", "####.###...####.#.#.###########.#.#########", "####.###.#..###.#.#B______#####.#.##......#", "####.###.##..##.#.#######_#####.#.##.####.#", "####.###...#....#.#A..____#####.#....####.#", "####.#####.####.#.#.#.#########.########..#", "###.........###.#...#.CCCCCCC##..........##", "###########################################"}

    1

    Returns: 31

  100. { "###########################################", "###########################################", "####.....................................##", "####.######.############################.##", "####.####.._###############..............##", "####.####.#.........#######.###############", "####.####..########.#######...........#####", "####.#####.####...#........##########.#####", "####.#####.####.#.#.######......#.....#####", "####.###...####.#.#.###########.#.#########", "####.###.#..###.#.#B______#####.#.##......#", "####.###.##..##.#.#######_#####.#.##.####.#", "####.###...#....#.#A..____#####.#....####.#", "####.#####.####.#.#.#.#########.########..#", "###.........###.#...#.CCCCCCC##..........##", "###########################################"}

    2

    Returns: 42

  101. { "###########################################", "###########################################", "####.....................................##", "####.######.############################.##", "####.####.._###############..............##", "####.####.#.........#######.###############", "####.####..########.#######...........#####", "####.#####.####...#........##########.#####", "####.#####.####.#.#.######......#.....#####", "####.###...####.#.#.###########.#.#########", "####.###.#..###.#.#B______#####.#.##......#", "####.###.##..##.#.#######_#####.#.##.####.#", "####.###...#....#.#A..____#####.#....####.#", "####.#####.####.#.#.#.#########.########..#", "###.........###.#...#.CCCCCCC##..........##", "###########################################"}

    3

    Returns: 53

  102. { "###########################################", "###########################################", "####.....................................##", "####.######.############################.##", "####.####.._###############..............##", "####.####.#.........#######.###############", "####.####..########.#######...........#####", "####.#####.####...#........##########.#####", "####.#####.####.#.#.######......#.....#####", "####.###...####.#.#.###########.#.#########", "####.###.#..###.#.#B______#####.#.##......#", "####.###.##..##.#.#######_#####.#.##.####.#", "####.###...#....#.#A..____#####.#....####.#", "####.#####.####.#.#.#.#########.########..#", "###.........###.#...#.CCCCCCC##..........##", "###########################################"}

    4

    Returns: 62

  103. { "###########################################", "###########################################", "####.....................................##", "####.######.############################.##", "####.####.._###############..............##", "####.####.#.........#######.###############", "####.####..########.#######...........#####", "####.#####.####...#........##########.#####", "####.#####.####.#.#.######......#.....#####", "####.###...####.#.#.###########.#.#########", "####.###.#..###.#.#B______#####.#.##......#", "####.###.##..##.#.#######_#####.#.##.####.#", "####.###...#....#.#A..____#####.#....####.#", "####.#####.####.#.#.#.#########.########..#", "###.........###.#...#.CCCCCCC##..........##", "###########################################"}

    5

    Returns: 63

  104. { "###########################################", "###########################################", "####.....................................##", "####.######.############################.##", "####.####.._###############..............##", "####.####.#.........#######.###############", "####.####..########.#######...........#####", "####.#####.####...#........##########.#####", "####.#####.####.#.#.######......#.....#####", "####.###...####.#.#.###########.#.#########", "####.###.#..###.#.#B______#####.#.##......#", "####.###.##..##.#.#######_#####.#.##.####.#", "####.###...#....#.#A..____#####.#....####.#", "####.#####.####.#.#.#.#########.########..#", "###.........###.#...#.CCCCCCC##..........##", "###########################################"}

    6

    Returns: 64

  105. { "###########################################", "###########################################", "####.....................................##", "####.######.############################.##", "####.####.._###############..............##", "####.####.#.........#######.###############", "####.####..########.#######...........#####", "####.#####.####...#........##########.#####", "####.#####.####.#.#.######......#.....#####", "####.###...####.#.#.###########.#.#########", "####.###.#..###.#.#B______#####.#.##......#", "####.###.##..##.#.#######_#####.#.##.####.#", "####.###...#....#.#A..____#####.#....####.#", "####.#####.####.#.#.#.#########.########..#", "###.........###.#...#.CCCCCCC##..........##", "###########################################"}

    7

    Returns: 65

  106. { "###########################################", "###########################################", "####.....................................##", "####.######.############################.##", "####.####.._###############..............##", "####.####.#.........#######.###############", "####.####..########.#######...........#####", "####.#####.####...#........##########.#####", "####.#####.####.#.#.######......#.....#####", "####.###...####.#.#.###########.#.#########", "####.###.#..###.#.#B______#####.#.##......#", "####.###.##..##.#.#######_#####.#.##.####.#", "####.###...#....#.#A..____#####.#....####.#", "####.#####.####.#.#.#.#########.########..#", "###.........###.#...#.CCCCCCC##..........##", "###########################################"}

    113

    Returns: 171

  107. { "###########################################", "###########################################", "####.....................................##", "####.######.############################.##", "####.####.._###############..............##", "####.####.#.........#######.###############", "####.####..########.#######...........#####", "####.#####.####...#........##########.#####", "####.#####.####.#.#.######......#.....#####", "####.###...####.#.#.###########.#.#########", "####.###.#..###.#.#B______#####.#.##......#", "####.###.##..##.#.#######_#####.#.##.####.#", "####.###...#....#.#A..____#####.#....####.#", "####.#####.####.#.#.#.#########.########..#", "###.........###.#...#.CCCCCCC##..........##", "###########################################"}

    114

    Returns: 172

  108. { "###########################################", "###########################################", "####.....................................##", "####.######.############################.##", "####.####.._###############..............##", "####.####.#.........#######.###############", "####.####..########.#######...........#####", "####.#####.####...#........##########.#####", "####.#####.####.#.#.######......#.....#####", "####.###...####.#.#.###########.#.#########", "####.###.#..###.#.#B______#####.#.##......#", "####.###.##..##.#.#######_#####.#.##.####.#", "####.###...#....#.#A..____#####.#....####.#", "####.#####.####.#.#.#.#########.########..#", "###.........###.#...#.CCCCCCC##..........##", "###########################################"}

    115

    Returns: 172

  109. { "A.................................................", "#################################################.", "..................................................", ".#################################################", "..................................................", "#################################################.", "..................................................", ".#################################################", "..................................................", "#################################################.", "..................................................", ".#################################################", "..................................................", "#################################################.", "..................................................", ".#################################################", "..................................................", "#################################################.", "..................................................", ".#################################################", "..................................................", "#################################################.", "..................................................", ".#################################################", "..................................................", "#################################################.", "..................................................", ".#################################################", "..................................................", "#################################################.", "..................................................", ".#################################################", "..................................................", "#################################################.", "..................................................", ".#################################################", "..................................................", "#################################################.", "..................................................", ".#################################################", "..................................................", "#################################################.", "..................................................", ".#################################################", "..................................................", "#################################################.", "..................................................", ".#################################################", "..................................................", "#################################################B"}

    47

    Returns: 1274

  110. { "B.................................................", "#################################################.", "..................................................", ".#################################################", "..................................................", "#################################################.", "..................................................", ".#################################################", "..................................................", "#################################################.", "..................................................", ".#################################################", "..................................................", "#################################################.", "..................................................", ".#################################################", "..................................................", "#################################################.", "..................................................", ".#################################################", "..................................................", "#################################################.", "..................................................", ".#################################################", "..................................................", "#################################################.", "..................................................", ".#################################################", "..................................................", "#################################################.", "..................................................", ".#################################################", "..................................................", "#################################################.", "..................................................", ".#################################################", "..................................................", "#################################################.", "..................................................", ".#################################################", "..................................................", "#################################################.", "..................................................", ".#################################################", "..................................................", "#################################################.", "..................................................", ".#################################################", "..................................................", "#################################################A"}

    47

    Returns: 1274

  111. { "A_C_______________________________________________", "#################################################_", "__________________________________________________", "_#################################################", "__________________________________________________", "#################################################_", "__________________________________________________", "_#################################################", "__________________________________________________", "#################################################_", "__________________________________________________", "_#################################################", "__________________________________________________", "#################################################_", "__________________________________________________", "_#################################################", "__________________________________________________", "#################################################_", "__________________________________________________", "_#################################################", "__________________________________________________", "#################################################_", "__________________________________________________", "_#################################################", "__________________________________________________", "#################################################_", "__________________________________________________", "_#################################################", "__________________________________________________", "#################################################_", "__________________________________________________", "_#################################################", "__________________________________________________", "#################################################_", "__________________________________________________", "_#################################################", "__________________________________________________", "#################################################_", "__________________________________________________", "_#################################################", "__________________________________________________", "#################################################_", "__________________________________________________", "_#################################################", "__________________________________________________", "#################################################_", "__________________________________________________", "_#################################################", "__________________________________________________", "#################################################B"}

    100000

    Returns: -1

  112. { "AC________________________________________________", "#################################################_", "__________________________________________________", "_#################################################", "__________________________________________________", "#################################################_", "__________________________________________________", "_#################################################", "__________________________________________________", "#################################################_", "__________________________________________________", "_#################################################", "__________________________________________________", "#################################################_", "__________________________________________________", "_#################################################", "__________________________________________________", "#################################################_", "__________________________________________________", "_#################################################", "__________________________________________________", "#################################################_", "__________________________________________________", "_#################################################", "__________________________________________________", "#################################################_", "__________________________________________________", "_#################################################", "__________________________________________________", "#################################################_", "__________________________________________________", "_#################################################", "__________________________________________________", "#################################################_", "__________________________________________________", "_#################################################", "__________________________________________________", "#################################################_", "__________________________________________________", "_#################################################", "__________________________________________________", "#################################################_", "__________________________________________________", "_#################################################", "__________________________________________________", "#################################################_", "__________________________________________________", "_#################################################", "__________________________________________________", "#################################################B"}

    100000

    Returns: 127201274

  113. { "B_________________________________________________", "#################################################_", "__________________________________________________", "_#################################################", "__________________________________________________", "#################################################_", "__________________________________________________", "_#################################################", "__________________________________________________", "#################################################_", "__________________________________________________", "_#################################################", "__________________________________________________", "#################################################_", "__________________________________________________", "_#################################################", "__________________________________________________", "#################################################_", "__________________________________________________", "_#################################################", "__________________________________________________", "#################################################_", "__________________________________________________", "_#################################################", "__________________________________________________", "#################################################_", "__________________________________________________", "_#################################################", "__________________________________________________", "#################################################_", "__________________________________________________", "_#################################################", "__________________________________________________", "#################################################_", "__________________________________________________", "_#################################################", "__________________________________________________", "#################################################_", "__________________________________________________", "_#################################################", "__________________________________________________", "#################################################_", "__________________________________________________", "_#################################################", "__________________________________________________", "#################################################_", "__________________________________________________", "_#################################################", "______________________________________________....", "###############################################C#A"}

    100000

    Returns: 126901276

This problem statement is the exclusive and proprietary property of TopCoder, Inc. Any unauthorized use or reproduction of this information without the prior written consent of TopCoder, Inc. is strictly prohibited. (c)2024, TopCoder, Inc. All rights reserved.
This problem was used for: