Statistics

Problem Statement for "Orienteering"

Problem Statement

Mrs. Jeipouju is planning to practice orienteering. The area where she'll practice is a rectangular field divided into unit squares. You are given its description as a String[] field. Each character in field is '.' (a period), '*' (an asterisk), or '#' (a number sign). Each '.' represents a passable square without a checkpoint, each '*' represents a passable square with a checkpoint, and each '#' represents an impassable obstacle. It is guaranteed that all passable squares (i.e., all '.'s and '*'s) form a 4-connected tree (see notes for formal definition). The number of checkpoints is at most 300.

In order to practice, Mrs. Jeipouju chooses K of the checkpoints uniformly at random. Afterwards, she will find the shortest sequence of squares that passes through all chosen checkpoints. The sequence can start at any square, end at any square (possibly other than the starting one), and visit each square any number of times. Each pair of consecutive squares in the sequence must have a common side. The length of the sequence is the number of moves Mrs. Jeipouju will have to make. (So, for example, a sequence that consists of 7 squares has length 6.)

You are given the String[] field and the int K. Return the expected length of Mrs. Jeipouju's sequence.

Definition

Class:
Orienteering
Method:
expectedLength
Parameters:
String[], int
Returns:
double
Method signature:
double expectedLength(String[] field, int K)
(be sure your method is public)

Notes

  • A set S of squares is said to form a 4-connected tree if for any two squares A and B from S, there exists exactly one way to walk from A to B while visiting only the squares from S and not visiting the same square more than once. From a given square, it is possible to walk into any square that shares a common side with it.

Constraints

  • field will contain between 1 and 50 elements, inclusive.
  • Each element of field will contain between 1 and 50 characters, inclusive.
  • Each element of field will contain the same number of characters.
  • Each character in field will be '*', '.', or '#'.
  • '*' and '.' form a 4-connected tree.
  • K will be between 2 and 300, inclusive.
  • field will contain between K and 300 '*', inclusive.

Examples

  1. {"*#..#", ".#*#.", "*...*"}

    2

    Returns: 3.8333333333333353

    Let (i,j) be the square represented by the j-th character of the i-th element of field (both numbers are 0-based). If she chooses (0,0) and (1,2), one of the optimal sequences is (0,0) -> (1,0) -> (2,0) -> (2,1) -> (2,2) -> (1,2). If she chooses (0,0) and (2,0), one of the optimal sequences is (0,0) -> (1,0) -> (2,0). If she chooses (0,0) and (2,4), one of the optimal sequences is (0,0) -> (1,0) -> (2,0) -> (2,1) -> (2,2) -> (2,3) -> (2,4). If she chooses (1,2) and (2,0), one of the optimal sequences is (1,2) -> (2,2) -> (2,1) -> (2,0). If she chooses (1,2) and (2,4), one of the optimal sequences is (1,2) -> (2,2) -> (2,3) -> (2,4). If she chooses (2,0) and (2,4), one of the optimal sequences is (2,0) -> (2,1) -> (2,2) -> (2,3) -> (2,4). So the expected length of her sequences is (5 + 2 + 6 + 3 + 3 + 4) / 6 = 23 / 6.

  2. {"*#..#", ".#*#.", "*...*"}

    4

    Returns: 8.0

    Mrs. Jeipouju chooses all four checkpoints. One of the shortest sequences is (0,0) -> (1,0) -> (2,0) -> (2,1) -> (2,2) -> (1,2) -> (2,2) -> (2,3) -> (2,4).

  3. {"#.#**", "....#", "#*#**", "**#*#", "#..##", "*#..#", ".#.#.", "....*"}

    3

    Returns: 10.825000000000024

  4. {"###################", "#*###############*#", "#.....#######.....#", "#*###*.#.*.#.*###*#", "#*####*.*#*.*####*#", "#*#####*###*#####*#", "###################"}

    9

    Returns: 30.272233648704244

  5. {"**##*.**#..#.*...*#...*#..#.##..#..#.#*...#.##*##.", ".#..###..#..#.#.##..#.#.*#.*..#..#.#*..##.#*...*..", "..#.....###.#*.##..#.#.#*..#.#..#....#..#...#*####", ".#.##*#.*#..#*#*.#.#...*.#.*#.#.##.#*.##.#.#..*...", "..*.*#*.###.#..#.#..##.##.*#..#.....#.....#..#.#.#", ".#.##.#..##..*#..#.#...#*##*#*..#.#.#.#.##.##.#.#*", "..##....#..#.#*#...*.##...#.#.####...#.#*.....#...", ".#.*#.##.*#*.#*.#.#.#..#.#..#.#*#.###..##.##.#.##*", ".*.#*..*.#.#...#.*##.#.**.#.*...**..*#..#.#.#*.#..", ".#*.#*##....##.#.#*..*.###.#.##.##.#.#.#....#.#*.#", "*.#..#*#.#*#*....#.#.#..*#**...##.#.#.**#*##.*.#..", ".#*.##..##..##.#.#..#.#.###.###...#...#*#..##*#.#.", "#..#*.#..*.###..#.#...#.###.#.#*#.#.#**##.#...*.#*", "..#..#.#.##.#..#.**.##*#.#**.**..#.#..#...#.##*#..", ".#*#.#.*..#.*#...#.#...#...#.##.#..*#*.##*....###.", ".*.#.#.#.#*#..*##.**.##*##..#.*#.#*###..*.#.##.#..", ".#......#...#.#.*#.#.#..#..#.#*#....#*.#*#.*#..*.#", "#..####..#*#...#*.#..#.###...#.#.#.###*#..##*##.#.", ".#.*..#.#...#.#..#.##...#..#.#.#.#.###..##..*.*.*.", ".#.#.#.#..##.*..#.*.#.##.#..##*...#.#..#.#.##.#.##", ".#..#*.#.#..#.##..##..#.*..#.*#.#...##....#...###.", ".#.#.#.#*.#.#..#.#..#..#.#.*#...#.##...#.##.##.*..", ".#...#.#.##.#.#..*#.*#..###..#.#.#*###.##...#*.##.", ".#.##.*.......*.#.*#.#.#*###..*...*..#.*.##.#.#..#", "...###*####*#.#..##*...#..#..##.#.#.#..##*#*.*.*#.", "#.#.#....*#..#.#.#.#.##..#*.#...#..#.#*#...#.##.*.", "..*.#*##.#.#*#.###...#..##.#.#.#*###*#.*#.#.*###.#", "##*##..##...#.....##.#.#.**#..#*.....##.#..#*.#.*.", ".....#.*.##..##.##*.*#...#.#.#.##.#*#.**..#..#.#.#", "##.#.#*##.#.#.*.*.#.#*#.#.#....*...#*##*##.#....#.", "*.**#**....*..##.#*.*.**..##.###.##.....##...##.**", "#.####.##*#*##..#.*#*#.##*...#.##..#.##....#*..##.", "....#...##.#...#*.#..##.##.#*..*.#....##.#.*##...#", "#.#..*##*..#.#..#..#..#*....#.##..##.#*##.##.*##..", "..#.#*.*.##.#.#*#.#*##.###.##...#............#*.#.", "#.#.##.#....*....*..##..*#.#.#.###.#.#.#.###..#..#", ".#**..#*#.#*#*#.#.#...*##....##.#*..#..#*..*#..#..", "...#*#.....#..#.#..#*#.*##.#..#.#.##..#.*#*#.#...#", ".#*.###.#.#.#.#.*#*##.##..#.#*..#...#.#.#..#*.*#..", "#*.#.#.#..#..#..#....*#.*##..##.#.#..#...##.#.#..#", "*.#..#..#...#..##.#*#..#.#*#.#.#.###..#.#*...#.#..", "#...#.#...#.#.#..#.*.#*.....**.*..#*##.#*.##....##", "#*#....#*#..#.*.###*#..#*##.##.#.#...#.*.##.##.##.", "..##*##*..#*#.#..#*.*##*.##.#...#.#.#.#.#..*#.##..", "#...#*##.#*#**.##.*#.*.##..*.#*#**....#**##...*.*#", "*#.##......*#.##.#.#.##**.#.#.#.#.#.##..#...#*#*#*", "*....##.#.#..#.....#..##.#....*....#.#.##.#.#.##**", "#.##*#...#..#.#.##..#..##.##.##.##........##.#*#.#", "..#...#.#*#*..*#..*#.*#.#......##.#.#.#*#..#..****", ".###.#..#...#.#..#..#.#...#.#.#...**.#..*#*.*##*#."}

    150

    Returns: 1309.4951033725558

  6. {"**##*.**#..#.*...*#...*#..#.##..#..#.#*...#.##*##.", ".#..###..#..#.#.##..#.#.*#.*..#..#.#*..##.#*...*..", "..#.....###.#*.##..#.#.#*..#.#..#....#..#...#*####", ".#.##*#.*#..#*#*.#.#...*.#.*#.#.##.#*.##.#.#..*...", "..*.*#*.###.#..#.#..##.##.*#..#.....#.....#..#.#.#", ".#.##.#..##..*#..#.#...#*##*#*..#.#.#.#.##.##.#.#*", "..##....#..#.#*#...*.##...#.#.####...#.#*.....#...", ".#.*#.##.*#*.#*.#.#.#..#.#..#.#*#.###..##.##.#.##*", ".*.#*..*.#.#...#.*##.#.**.#.*...**..*#..#.#.#*.#..", ".#*.#*##....##.#.#*..*.###.#.##.##.#.#.#....#.#*.#", "*.#..#*#.#*#*....#.#.#..*#**...##.#.#.**#*##.*.#..", ".#*.##..##..##.#.#..#.#.###.###...#...#*#..##*#.#.", "#..#*.#..*.###..#.#...#.###.#.#*#.#.#**##.#...*.#*", "..#..#.#.##.#..#.**.##*#.#**.**..#.#..#...#.##*#..", ".#*#.#.*..#.*#...#.#...#...#.##.#..*#*.##*....###.", ".*.#.#.#.#*#..*##.**.##*##..#.*#.#*###..*.#.##.#..", ".#......#...#.#.*#.#.#..#..#.#*#....#*.#*#.*#..*.#", "#..####..#*#...#*.#..#.###...#.#.#.###*#..##*##.#.", ".#.*..#.#...#.#..#.##...#..#.#.#.#.###..##..*.*.*.", ".#.#.#.#..##.*..#.*.#.##.#..##*...#.#..#.#.##.#.##", ".#..#*.#.#..#.##..##..#.*..#.*#.#...##....#...###.", ".#.#.#.#*.#.#..#.#..#..#.#.*#...#.##...#.##.##.*..", ".#...#.#.##.#.#..*#.*#..###..#.#.#*###.##...#*.##.", ".#.##.*.......*.#.*#.#.#*###..*...*..#.*.##.#.#..#", "...###*####*#.#..##*...#..#..##.#.#.#..##*#*.*.*#.", "#.#.#....*#..#.#.#.#.##..#*.#...#..#.#*#...#.##.*.", "..*.#*##.#.#*#.###...#..##.#.#.#*###*#.*#.#.*###.#", "##*##..##...#.....##.#.#.**#..#*.....##.#..#*.#.*.", ".....#.*.##..##.##*.*#...#.#.#.##.#*#.**..#..#.#.#", "##.#.#*##.#.#.*.*.#.#*#.#.#....*...#*##*##.#....#.", "*.**#**....*..##.#*.*.**..##.###.##.....##...##.**", "#.####.##*#*##..#.*#*#.##*...#.##..#.##....#*..##.", "....#...##.#...#*.#..##.##.#*..*.#....##.#.*##...#", "#.#..*##*..#.#..#..#..#*....#.##..##.#*##.##.*##..", "..#.#*.*.##.#.#*#.#*##.###.##...#............#*.#.", "#.#.##.#....*....*..##..*#.#.#.###.#.#.#.###..#..#", ".#**..#*#.#*#*#.#.#...*##....##.#*..#..#*..*#..#..", "...#*#.....#..#.#..#*#.*##.#..#.#.##..#.*#*#.#...#", ".#*.###.#.#.#.#.*#*##.##..#.#*..#...#.#.#..#*.*#..", "#*.#.#.#..#..#..#....*#.*##..##.#.#..#...##.#.#..#", "*.#..#..#...#..##.#*#..#.#*#.#.#.###..#.#*...#.#..", "#...#.#...#.#.#..#.*.#*.....**.*..#*##.#*.##....##", "#*#....#*#..#.*.###*#..#*##.##.#.#...#.*.##.##.##.", "..##*##*..#*#.#..#*.*##*.##.#...#.#.#.#.#..*#.##..", "#...#*##.#*#**.##.*#.*.##..*.#*#**....#**##...*.*#", "*#.##......*#.##.#.#.##**.#.#.#.#.#.##..#...#*#*#*", "*....##.#.#..#.....#..##.#....*....#.#.##.#.#.##**", "#.##*#...#..#.#.##..#..##.##.##.##........##.#*#.#", "..#...#.#*#*..*#..*#.*#.#......##.#.#.#*#..#..****", ".###.#..#...#.#..#..#.#...#.#.#...**.#..*#*.*##*#."}

    10

    Returns: 321.5105513311401

  7. {".###...#.#...#..*.#.#.**#..#*#.#.##.*.#*#*.#.**.##", ".*#.#*#..#.#..#.#....#.#.#.....#....##...#...###.#", "#....***#.##*#.#..###.*#...#.#*#.#.#...#...###.#*.", ".#.#.##..*#*.#.*.#..##*##.#.#.#..##..#.#*#.....*.#", "*#.#..*##.##.#.####.*#.*.....*#.#...###.#..#.#.#..", ".*#..#.#*#....*..#.*#..#.#.###....#*.#..###.#..*#.", "#...#.#*.#.##.#.#.#..#.#.##*..#.#..####..*...#*#.#", "..#.....#.##...#...#....#*#.##.*.##..##*##.#.*#...", "##.#.###..#.#.#..#..##*#..#*.*#.##.#....*##.#...#.", "*..#.#..#.#..*#.#*##.#.*.#..##*.#*.#.####.#.#.#.#.", "##....*#...##*...**#.**##.#....#*#*#..**#....###.#", "*.##.#.##.###.#.#.#.#.###...#.#**....#*#*.##..#.*.", "#.#.*.#....#..##..#....#*.#..##.#.#*###.#.*.##.#.#", ".*.*##.#.#...#*.##*.##..#.##.....###.#*.#.##...#.#", "#.#.#..*#..##.*#.##...#.....##*##.#...#...#*.##...", "#.##*.##..##..#.*..*##.#.#.#*#.**...#...##.#.#..#.", ".*.#*#..#..*#.*.#.#.*...##.*.##*#.##.*#.*.....#.#*", "#*##.#.#..##**#.*#..#*###.##..#..####*#*##.##...##", "#*#.*#.*#*..*#.#.#.#...*....#..#.*##.*#..#*##.##..", "....#.*##.#.#..#.*#.#.##*##*.#..##..#**#.#...#.#*#", ".##..#.#..##*.###....####.#*####.**#*##.#.#.#..#**", ".#.##..##....###*#.##*###*.#*#.**##..#....#.##...#", ".#..##.*.*##*.#*.##.#..#*.#...##..##*..#.#.#.#*#.#", ".#.#...##.*###*#..#...#..#.*##*..#.#.###...#..##*.", ".#...##..#**...*.#..##.#.#.#..*#.#.*.*..###**#..#.", ".#.#..#.###.##.##..#*..#.....#.#.*.##.#.#..#..#..*", ".*#*.#.*.#*.#*.#*#.#.#.#.##.#.#.##...#..*#*.#*#.#.", "#*.#...#*.#*.#.#......##...#......###.#.#..#...*.#", "##.#.####..#.*#..#.###..#.#..###.#**#..#..#.#.#.#.", "#....*.#..#.##*#..#....#.*#.#...#*#...#.#....#*...", "..##.#..##...#...#..###*#..*..#*...#.##..*###.#.#.", ".##.#..#.#.##.##...#......####.##.#.....##*.#....#", ".....###.#.#.....#*.#.#.#.*...*.#*.#*#.###.#*.#.#.", ".#.#....***#.#.##.##*#...##.#.#..##..#..#..*#..#..", "..#..#.#*#*..#*##*.#...##..###*.#...#.#*.#*#..#..#", ".###**#..*##.#...#.*#*#*.#..#.##..##..#*#.*..#.#.#", "..#*.#.#.#...#.####.#..#...#*..**#.#.#.#..#.#....*", "#.###..#.*#.###..##..*##.##.#.#*#...*..*#.*##.#.#.", ".....#...#.#.#..#...#...*#**.#*..*#.#####.##.*.#..", ".#*##..#....*.*#.##.#.##...##*##*##.#**.....*#.*#.", "*#...##.*#.#.#.......#.*###....#.*.#..#.##*#.###*#", "#..##*##*#.#.*##.#.###*#*.*.##...##..###.*#....*..", ".#..#..*..#.#.*#*#.*...##.#..*#.#.##..#.#.#.##*#.#", "***#.*#.#..*.#.##.*#.#...*.#.#.*.*..*#.*...#.#.*#.", ".#..#.##..#.#.#.*#.#.*##.#..#.##.#.#...##*#*.*.#.*", "##.#*..##.*#..#*#.#.#..#..#.#.#..#..##.*.#.##.#*#.", "**.###*..#.##....*..#.#*##.#...#*#.##*.#....##...*", ".#...##.##*..#*#####..**....*##.*#.#.*##.##..#.##.", ".#.#...#.*.#.....*..#.#.#.#.##.##..#.##..#.#...#*#", ".#*.#.#..#..##.#.##.#.#..#......#.#....##*...#**.."}

    20

    Returns: 479.2850147299506

  8. {".#.#..#..#.#.#.#..#....*.**...*.#..*###..#.#...#.*", ".#...#.*#...*...#..#.#.#.#.#.##..##..#.#..**#.##*#", "..#.#.#*.#.##.#..#...*#.#####*#.#...#.*..#.#*.#.*.", ".#.*..*#.#**.###..#.###.##.#..#*#.##..#.#.#..###*#", "*.#.##.#.*.#.###.##...*......##.*...#..##.*#..#..#", ".#..#.#.*##*#.#.*#..###.##.#...##.#.#.#*.#.*#*.*#.", ".##.....#......##*#.#.#...#*.#..#.##...*#.#.*#.#..", "...#.#.#..#.##*#...*#..#.#.#..#.*#..#.#...*.##...#", ".#..##.#*#.#.#.##.#..*#*##.##.*##.#...#.#.#.#**##.", "*##.#....*...##...#.#.#.#...#.###.#.#*####.#.#...*", "*..#*.##.#*##.#.##.#.#...#.###.#...#....#....#*#.#", "#.##*#..#.#*..#.#..#*.#*#..*#..###..#*#.#*###*.*##", "**....#...#.#.#.*#.#.#**..##.#..*##....#..#..#.#.#", "*##.#...#..#*.##.#..*.##.#.#*..##.##.#.#*#.#.*....", "#..#*#*#.##*#*.#.#*##........#.##...##..*....#.##.", "*#.*.#....#..*##....#.##.##.#.#...#.#..##.#.#*.#..", "...##.#*##.#.#...#*#.***#..#...##.*#*.#...#.#.#.#.", "#.#*....#.**..*##*#*#*####..##...#...#*.#..#.#.*..", "...#.#.#..#.##....#..#**#..#*..##.#.#.#.##*#*#.#*#", ".##.#....#.*#.#.#*..#..#.#..##.#..*.#..#..**.*#..#", "*#...#.##.#.*.#.#.#..#...#.#....#.#...#.###.##.##.", "..#.#*....#.#*.#.#*##..#*...##.#*#*#.#.*..#...**#.", ".#*...#.#..#.#.....#..#.##.##..#**.....#.#*#*#.#*.", "..##.#.#.##..*##.##.#.*..#.#*#*#*#.#.#.*#*..#.#.#*", ".##**..*...#.##.#...*.##*.#..#.#*####.*#..#*#*....", "***#.###*###.*..*#.##.#.##.#.#.#.*.#*#.#.#*#..#.#*", ".##.*#..##...####*.*#..*.*.......##*..#*...#.#.#.#", ".#.#...#..#.##...*#.#.#.#.#.#.##....#..#.#*#**....", ".....#.*#.#...##*#.##*.#..#..#..##.#.##.*.#..#####", ".##.#.##*...##.#.#...#.##..##.#.*#.#.##.##*#.#....", "*.#.#*.###.#.#.....#*#...##.#.#.#*#**.*......#.#.#", ".#..*#........#.#.#*#.#.#.#..*..*.#.#####*#.#.#.*.", "#..#...##.#.#*.*#...#..#...#.##.##..#.**.#.*.*.#.#", "..#..#...###.#*#.#.##.###*#..*#*...#*.##*.##.#.*..", "#.#.#.*#.*##.*#**.#...###.##*###*#.*.#..##..###.#.", "#.#*.#..#...*#.#.#*##..#.*....#.#*.#...#.*.#*#..#.", ".*#.#.#.##.#.....*....##.##*#....#.#.##..#**..#.#.", ".#....*#.#.#.#*#.#.##...*.##.#.#.#..#.#.###.##.#.#", ".*##.#.#...##.#.#.#...#*#.*..#..#*#.....##.#.#*#*.", ".#.*..#.##...*..#*#.#..#.#*####...*#.#.#..**....#.", ".#.##.#..**##.##*.#.#.#...#**#.##.##.#..*#.#.##*..", "**#.#.#.#.#......#.#.#..#.##.....#..#..#*.##*..###", "#...#.##..*#.#.#...**..##**#.#.#.*.#.#..#...##**..", "*.#..#...#.#..###.##.#.*.#....#..#.#**.##.#*..###*", ".##*#..#..#*#..#**.##.###..#.##.#*##.#.#...##....#", "...#*#..#.#.#.#.##......##..#*......#.*.##...#.#..", "#*#.*.#..#*......#.#*##..#.####*##.###.###*##...#.", "*..#.###..#*##.##.#....#.#.*#..#*##.#*#.#*#.##.#..", ".#...##..#.#.*.....####...##.#....**....***..#.##.", "..##..*#*...#.#.##.*..*##**..*.#*#.#.##.#*#.#....#"}

    30

    Returns: 650.4470922822926

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    50

    Returns: 796.5340540024343

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    60

    Returns: 930.9960208469649

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    Returns: 969.9144989326886

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    Returns: 995.4692092120035

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    Returns: 1182.0300588452574

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    Returns: 1207.6277460079618

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    280

    Returns: 1635.7735776943514

  34. {"...**.#....#.#.*#.##.#...#.#.*...**#.#*.##...#...#", "#.#.#..##.#.*..#.......##.*..##.#*#...#...##.*#.#.", "...#..#..*##.#..######.*.###.#*#...##...##.*.#....", "#.###..##..##*.#....*..##..##*.*.#...#.#..##.#*#.#", ".###.#..#*#..#..#.#*##....#..#.##..#*..#.#.#.##..*", ".*#....#*.##.*#*.#*##.#.##*#*.#..##*##.#*#*....#.#", ".#*##*#*.#*.#.#.#.*...*..#...#.#.#..#*...#.#.#.#.#", ".*.#...#.##...#.#.##.#.#*.#*#.*....#..#.#*#*..#.*.", "##...#..*.##.#...#*.###.#*#*.#.#.#...#..#..##..#.#", "..###*##*#*..#.##..###.*#**.#*#.#*##..#..#.#.*##..", "#.*.*.*...##*#..*#*.#.#.*#.##*...*#.##..#..*#.#*.#", ".#.#.#.##*...*#.#..#*...##*#.##*#..*.##...#.#...#.", "...#..#...###..*.#...##**..****#..##....#..#..#.#.", "##..##.#.##.####...#...#.###.#..##.*.#.#.##..#..#.", "...##..*.#....*..##..##*..*#.#*#..##.#.*.#.####.#.", "##.#.####..###.#*#.####.###.#....#..#..###...##.#*", "*.#*.#**#.#*..#.#.*..#.#...*.#.#..*#.#.#.*#*#.*...", "*#*#*##.##..#.#.*#.#.#.#.##.#.#..##..*.##.#.#.##*#", "*#....#...*###*.#.#*.#.##......#.#.#.#*.#.*.*#....", "*#.##.*###.*#.#.#..#.*...##.#.#..#.*#.#.*#.##.#.##", "..#..#.*..*##.#*.*#.#.#.####..*#..#...#.#...**..*.", "#.**#..#.#***.#.#*#.#.#.###..#*.#...#*.*..##.##.#.", "*.#*.#.*#.#.#..#.*...#...#.##..#.###.*#.#.##.#*..#", ".#*.#.##...#..#.#*##.#.###.#*#*....####.*#..#..#..", "#.#.*.#.#.#.#.#.###..*.....#..*#.#*..*.#.#*#.##..#", "..##.##...*.....*.*.##*#*#..*#.#*#.##.###......#*.", ".#......#.#.#.##.##.#*.#*.#.#.#.##..#*.#.###.##*.#", ".##.##.#**#.#.###..##.#.##*#*.....##.#*.........#*", "...*.#..#.##*..#..#.*.#**#.*##.##*.#..#####.#*#..*", "#*#.#.#.*#**.###.#.##...###.#.#...##*#.....###..##", "*#..*..####.#....*..*.#*.#..*...#*#**..##*#.#.#.#.", "..#.#.#.*#*#.#.#.####.#.#.*#*###*...###......*....", "#.*.*###.*.#..**##..#..#.*#*#*.*##.#.*.*#.#.#.#.#.", "*.#.#.#.#.#..#.#.*.#..#.*#....#....*##.##*#.###*.#", ".###....#...#..###.*.#*##.*#*#*.#.##...#...#....#.", ".##.#.#.**#.##*..##.##..#.#.#.#.*#*###.#.#..#.#*.*", "#....#.#*#..*.#.#..#.*#.##*.#..##....##...#..#..##", ".#.#......#.##..#.#.#*.*...#.#....##....#..##.#...", ".##*.##.#.#.#.##......###.#.*.*#.#..#.#..#.#*.*#*#", "...*#*##*#.##...###.##......#*##.#.#.##.##..##....", "###.#.....*..##.#.*#*#.##.#..#*.#.........##.*.#.#", ".....##.#*##....#.#...**##..#.#*###.###.#..#.##*..", "*##.##..#...#.#*....##.#...#..*.....#*.*.#.*#...#.", "...#...#**##.#.#*#.#...#.##.#.#.#.#.#.#.#.#.##.#..", ".#*#.##.###.......#**##.#.#.#..###...#..#.#...#..#", "#*#.#**..**.#.#.#..##..*#*..###*#.#.###...*#.#.#..", "......#*###..#.*.#.#.#.#..#...#*#..*.#..##.#*#..#.", "##.##*.#..*#.*##.*#*.#...#.##.#.###.#.#*.#.#.##...", ".#..###*.#.#.##..#.#.*.##..............#.#.*#*###.", "...#...*#.*....#...#.#..#*#.#.#.##.##.#..#.#......"}

    290

    Returns: 1702.6349970274457

  35. {"##.....*#...#..*#.*#..#.#*.#.........#..#***#..##.", "#.##.#.#.#.#.*#..#.*#.*..#...#*##.###.#...##*#*...", "*.#.#.......#**##.#.*##.##.#..#.#...**##.#.#..#*#.", "#....*####.##.#...##.#.*...###..#*#.##..*#.#.#***#", "..##.#..*....*..#*...#####..*#.#.#*#..##***...#.##", "##...#.#.#.##*#..#.#.......#......*..##.*#.###..##", "..#*#*#.*.#...#.#*#.#*###*#*##.#.###*#.#.##.*#*#*#", "#..#**.#.#.#.####....#..*.#.#.####..#.....##.**.*.", "##..#.###*.*#.#*.##.#.#.#...#*.#**#*##.#.#..##.##*", "###.*.*#.#.#*..#*...#..#*.#*..#*.#.*..#....###*..#", "##.#.##.....#.###.#***#*#.#.#.*.#*.###.#*#.*#*.#..", "#.*..####.#....#.####.#.#..##.##.#.#...#*#.#.#..#*", ".##.#.#.#..#.#.#..#.......#.*#.#....#.#...#.*..#.#", "*##...#..#.#..#..#.#.#.#.#.#.#.#.#.#..#.#...#*#.*.", "*..*####.##.*###.#..#.#.*#*..#....#.#..#..##.###.#", "*##.#.#..*.#.###.#.##*.#..##*..#.#..#*#.#.#...##.*", "#.#...#.#.#..*#...*..#.*.#..##*.##.##*.**...##..#.", ".*#*#.#..##.#..##.#*#.##.##.#..#...*.#.##.##...#.*", "#.##...#...##.#..#.*#*#...*.*#*.#.#.###.#**.#.#*#.", "....#.#..#*#*...#.#*#..##.#*#.#..#..###**.##.....*", "*#.#...#..#.#.#*#.#..#...#..*.#.#..#.#.##....#.#.#", "*.#.#.#.#..*...#..#*#*#*#.#.#.....#..#..#*##..#..#", "#*#.....#.#.#.#.#...#.#...#..#.###.#..#..*..#.*#.*", "...#.##..#.#...**##.#..##.#*#..*.#.#.#..#.##.##*#.", "#.#.*..#..*#.#.#.#..#.#.#..#*#.###....#.##..*....#", "...#.#.#.##.#.##.*#*......#.*..*..#.#.**..*###.#*#", "#.#*..#.##....#**#####.##..#*#.#.#...#.#.#...#.#..", "..*##...#.##.#**#.#...#..#.*#..*#.*##.###.*##.##.#", ".#...#.#..#..*#*.*.#.#.#.##..#*#.#..#.*#.##.....##", "#.##.#..#*.#.###.##.*....*.#...#*#.#*#*#...#*#*#*#", "..#..#.#*#.#..#....#*#.#.##.#.#..*.#*..*.#....#...", ".#.#*.......#..#.#.####...#*....##.*.##.#..#.###.#", "....##.###*#*#.#..#..#.#*#..#.#.#*#.#*.#.##.#.#...", "#*#**.##..*......#.#.#**..#.#*.#.*#...#..#....#*#.", ".#**##..#.##*###**.*..##.#.*.#.**#.###..###.##...#", "*##...#.##*.##.#*###.#....#*#..#.#.#..#*.#...##*#.", ".*..##..*#.#..*#.#....#.#.*#.#..#....#**##.##*#.#*", ".##.#*##*#.###..#.#.#.#.#.##..#..#.##..#......*...", "#..*.........#.#.*.##.*#*.#.#..*#.....##.##.#.#.#.", ".*######.#.##..#.#*..#..#.*.##.#..#.#...*#...#..#.", ".#......#.*...#*..#.#..#.##......#.#..##..##.*#..#", "#.###.#...###.*#.#**.#..*.*.#*#.#...#.#..#.*#*.#..", "..#.##.###*...#.#**##.##.#.#.#.#.##*.#.##.#..#..#.", "#.#.*.....###.#..#..#..*#...*..#...#**....*#.###.#", "..#####.#.*..*##.##..*##*#.#.#*..##..##.#.##....*#", "#....*..#.###*.*..###*..*#..#.#.#.*#...###*.#.#.#*", "..##.##..#.*.*#.#....*##*..##*##*#.#*#**#..#*..#*.", ".#..#...#*#.#*##.#.#.#.#.#.......*....##.#.#*##.#.", "*..#..#.#.*#.#.....*#.....##.#.#.##.#*....*.......", ".#..##..*.#.*..#.#.###.##.#.*#*#.**#..##.#.#.#.##."}

    300

    Returns: 1705.0

  36. {"##*..#*.#*.#*#*..##..*.*#**.*.*#...#.#*#..", "#*.#.*#..#**..#*#.**#*#.*.#.##..#*#......#", "*#..##..###.#*....##...##.*#**##*.##.#.##.", "*#.#..#*.###**#.##..##**##..*#*#.#....#*#.", ".#..#.*#.*#**#.*.*.#*.##.*.#*.*.*..##..*..", "*..#.#.##.#.#.#.##*#.#.##*##.#*#*#...#.#.#", "*#**....***.*..#.*#.**...#..#.#...#*#**#*.", "*##*##*##*##*##.#*#*##*###.#**#.#*.#.#.*#.", "#*.*#..#*#*#**...**..#.*.**..#.#.#.#.*.#.*", "###*.#.#.#...#.#.#*##.#.####.....#..#.###*", "#***#.#*...#.#*##*.....#**..#*##..#.#..#..", "**#*#**#*#.#..#.##*###***#.###*#*#*#*####.", "*#.#..#.#...#.*.*##.*##.#*#.#...#****#.#..", "#....#...*#..#.##.#.#.#*#*.*#.##.##*#*.#.#", ".###*##*#.#.##..*......###.#*...*....#..##", "*#..*.*..#...*##.#.#.#*.##*.*#*#*#.#...#.#", "...##.##..#.#**#.#.*###***.#.*#...#*.#.**."}

    80

    Returns: 425.0788532455024

  37. {"**#*******#**#*#*#*****#***#*#****###****#**", "*#*##*#*#**#*******#*#***#****##*#*#*#*##**#", "******#**#***#*#*#**#**#*#*##*************##"}

    91

    Returns: 122.0

  38. {".#....###...#....", "..#.#..#.##..#.#.", "#.*#..#.....#...#", "..#*#..####.#.#..", "#.#.##.#.*.....#.", ".....#...#.##.#.#", "##.##.###.#......", "........#...#.#.#", ".##.#.#..#.###...", "##..#..#....#.#.#", "..##.##..#.#.....", ".##.....##..##.#.", "....#.#.#..##..#.", "#.#..##..#...##..", "...##...#.#.#...#", ".#.#.*##....#.#..", ".#.##..#.##..###.", "..#...#..#..###..", ".#..#..#.*#..#.#.", "#.#.#.#..#..#....", "#.#.#..#.#.#.###.", ".....#..#......#.", "#.#.#.#.##.##.###", "..#.#..#*..#...#.", ".#.#.#..##..##...", "...#..#....#.#.#.", ".##..#..##....##.", "...#...#.#.##...#", ".#.#.#....#..#.#.", ".####..###.#.....", "...###......#.#.#", ".##.###.##.#.##.#", "#....##...#..#...", "####....###.###.#", "#....##....*.#...", "..##.#..##.###.#.", "#..#.##..#....#..", ".##.#.#.#..#.#.##", ".........#.#.....", ".#.#.#.#.#.#*#.#."}

    7

    Returns: 116.5

  39. {"*****#**#**#***##***#*#**#*#*#***#***##***", "#*##*#*#*#*###***#*#*.*#******#*##*##***#*", "*#*#***********#*****#*#*#*##******##*#*#*", "****##*##*#*#*#*#*##*#***##**##*##*****#**", "*##*#*#**#**##****#.*#.#***#*#*#*#*#*#**#*", "#******#**##**####*#*##**#********#**###*#", "##*###*#*#*#*#********##**####*##**#****.*", "###***.********##*#*#***#*****#***#**##*#*"}

    187

    Returns: 338.9235713802715

  40. {"##.#*#.*...#.#..#**.#*", "#..#.#.#.#....#..##.#.", ".#*#.*#..#.#.#..#.#.#.", "..*#.#*##...#*#...#*#*", ".#.#.**.*#.#.*#.#*#.#.", "#*.#.#.###*#*#...#..#.", ".#...*##...*..#.#.#..*", "...#.#.*##*#.##.#**#*#", ".#..#.*##..*#...#.#...", "#..#..#..##..##.*.**#.", "*#.##...####..**##*#..", "....#.##.##*.#.#**#*.#", "##.#....*..#..#*#*#.##", "*...#.#.###.#..**.*#.#", "##.#..*##.#*..##.#....", "...#.##.....#.*#..#*#.", "##....###.#*#.#.###.#.", "..*##.....##.......#..", "*#*#..#*#...##.#.#.*#.", ".#.#*#*.#.##..#*.#*#*.", "*.#*..#.#....#.*#...#."}

    2

    Returns: 25.23962703962689

  41. {"*****##****##**#****#*#****#*#*#*#*", "*##*#***#*#***#**#*#****##*********", "#****#*#**#*##**#*#**#*##*#*#*#*##*", "*##*#*#*#****#*#***#**#******##***#", "**********##*****#***###*#*#***#*##"}

    11

    Returns: 70.8830276350422

  42. {".*.###*#..#**.#*#*#####..#*#..#*#", ".#..#**#*##.##..*.*###..#*.#.#.*.", "#.#..#**...*...#*#..#.#..#...##.#", "..**#.##.#*##.#...##.*#*#*#.#..**", ".###*.....#*.#.###.#.##.*.*.*.#.#", ".....##.#.*.##*...*...*.#*#*##.#.", ".#.#*.#.##.#..*#######.#*##......", "*#..##..*#.**#...*....#..*.###.#*", "#..#*.#.#.#*#..#.#*##...###...#.*", ".#...#.##**#.#.#..###.#..*..####.", "..*#..*.**#...#.##.#.#.#.#.##*##.", ".#.*#.#.#.*.#..*...**...#.*..*..#"}

    43

    Returns: 230.2682411338271

  43. {"*#****#******#******#*##*#*#********#*#*#*****", "**#*#**###*##*##*###*********###*##***#*#*#*#*", "*#*###*#*#***********#*#*#*#****#***#*****#*#*", "*#**#******#*#*##*##**#*##**##*#*#*#*#*##**###", "***#*##*##**#*#*#***#*****#***#***#**#**#*#*#*", "*#********#******#*#**##*#**#***#***#**#******"}

    27

    Returns: 147.63220294058874

  44. {"**#*", "#*#*", "****", "*#*#", "*#**", "**#*"}

    2

    Returns: 4.323529411764689

  45. {"#*#***#*#**", "***##*****#", "#*####*#*#*", "#**##*#****", "**#***#*#*#", "#*#*#**#***", "***#*#**#*#", "#*#**#*#**#", "***#****#**", "*#**##*#**#", "#**#*#***#*", "*#*#**#*#**", "*#*##*#*##*", "***********", "#*##*#*#*#*", "*#***#*#*#*", "**##*#*#**#", "#****#*#*#*", "**#*#*#****", "##*****#*#*", "**#*##*#**#", "#***#*#**#*", "*##****#***", "****#*#**#*", "##*#***###*", "****#*#***#", "*#*#***#*#*", "#***##*****", "**#*#**#*#*", "*#***#**#**"}

    172

    Returns: 343.5569553228489

  46. {"*..#*#*#*.#.*#*#.#.**#..#.*.*##.#.###", "##***..#.#*#...#.*#.#..#.##.#*.....##", ".###.#...#.#.#..#*..##.......##*###.#", "**...###.*..#.#...##**#.####..*......", ".#.##.*###*##*#.#.*#*##**..#.##.##.#.", ".*#..#*....*....###..*..###..*#*#.##*", "###.#.#*#.#.#.#..*.*#.#*..###.#..*..#", "**..*.*.#..#.**#*###*.#*#..*.#.##*#.*", "#.#.####..#.#.#..*.#.##*.#.#.*..*#.#.", "**.#**..*#....###*#**..#*.#.#.#.#.*.#", ".##.#.#.#.#.#*..*#.*#.#..#*.####*##.*", "#*.....##*..#*#*#.*#*..#*.#*..#*.#..#", "..###.##.##.*#.#.##.#*#*#..##*#.#*#.#", "#.#..##...#.#*..**...#*..#*...*......", ".##.#...#.***.#.##*#*.#*##*#.##.##*#.", "...*..#..#.##..#.*..##..*..#*#.#.#.*#", "#.##.#*.#.*#.#..##.####.#.#.*...**#*#", ".#*.*#.#.#....##.##.###.#**#*###.##.*", ".*.#..#....#.#*.*..*.#.#**#**..*##*.#", "#.#.*#.##.#****##.##....#**#*#.##.##.", "*.*#.#.*.*.#*#.*.####.#..#.#*#..**...", "#*###..##.#..#.##.##.#.##..#..#.##.##", "##.###.#*.##*#.*.....*..*#.#.#.**#*#.", "#.*.#..#.#*...##.#.#.#.##.#*#*.#..##.", ".##...#*.##.####*#..#.....**.#.##....", "*#.#.#.*#***.*#*#..#*##.##*##***#.##*", "*.*..#.#*.#.#*..#.#.*#.*#*...#*#..*#.", "#*##..##.#*..#.##..*###.##*##.###.#.*", ".*#.##.*.###*.#..#.#.#...*#....#.**#.", "#.#*#*##....#.*.#.*...#.#.*.##*.#*#..", "*...#....#.###.####.##...#.#*#.#**#.#", ".#.#*.##.#.##...#*#*###.#.*...###..#.", "#*..#.#.##*..#.##...*##..#.#.###.#.#*", "*.#.#.#***.#..#..#.#..*#*#..###..#...", "#.#*#.#.##..#..#.#*.#.###*.###.#...#.", ".*.#..*#...#.#.#*..#*#.#..#.#.*.*#*#.", ".#*.#.#..#..*#.#.#**....#.*.*##.#*.#."}

    143

    Returns: 861.2266348514313

  47. {"..#..*.#...#.#.##...##.#..#.#.#...#.##*#.#.#..###.", "#...#.#.#.##.#..*##.....*#.....##.#.........#..#.*", ".#.#.#..*.#...##...#*###..##.#.....#.#.#.###.#.##.", ".#.#..#.#...#*..##..#..##.#.#.##.#...#####........", "...#.#.#*.##.*#....#.#..#.#.#.###.#.#..#..#.#.#.#.", ".#.#...#.#..##.#.#.#.#.#.......#......#.#..####.*#", "#..*##..#.#.#..##........#*#.#..####.##..#.*#...#.", ".#.#...#......#.##.#.#.#..#..##....*.#*.#..#.##.#.", "....##.#.##.#.......###..#..#..###.#...#.#..*.#.#.", ".#.#...##...##.#.#.#.##.#.##.#...##..#....#.##....", "#...##..####..#.#.#.....#..#*.##...#.##.###.###.##", ".#.#.#.#.*..#.......#.##.#...#..##.....#.....#..#.", "........#.#..#.##.#..#.*..##..*#.####.#.#.#.#*#...", ".#.#.#.#.###..#..#.#..##.##.##..*.....#..#..#.#.##", "#.###.....#..###.#..##.#.....#.#.#.##.#.#..#......", "#*.#..##.#..#.#...#.*.*..##.#.#.###.#.#..#.#.#.#.#", "..#.##....#.#.#.#..###.##....*#..#....#.##.##*..##", "#.#..#.##......#.#....#...###...##.##.........##.#", "..#.#.##.##.##.....#.#..##*...#.#.#...####.##.....", "#.*..........#.#.#..#..##..##.#...#.##.......#.#.#", "..##.##.#.#*#...#.#...#..#####..#.*..#.#.#.#..#...", ".##.#....#...#.##...###.#..####.##*#..###..#.###.#", ".#....#.#.###..#.#*#.....#..##.#.#.#.#.#.*#*..#..#", "#..##.##...*..#.*...##.#*.#.........#....#.#.#.#..", ".##....#.#.#.#..#.#...###...#.#.##.##.##.*.#.#...#", "....#.#.#..#.#.#..#.##.#.#.#.#....#...#*.#..#..#..", ".##..##.#.#...#.#.#.#........##.##..#.##.#.#..###.", ".#.##.....#.#...#.#.#.##.#.#..##..#.#...#..#.#.#..", "*..#..####..*#.#...#..#..#..##.##...#.##.#..#....#", "#.#..#.....##.#..##.#..#..#.#.....#.##..*..#..##..", "..#.#..#.#..#...#.....#.*#...#.###....##.#..#.##.#", "#..##.#...##..##.####..#.###*#.#.##.#.*##.#..#....", "##.#...#.#...#........###.....#......##.....#..#.#"}

    41

    Returns: 567.2612321238662

  48. {"*#..*****#*#*.*.#*.#*#*##.**#*#..*#****#*###", "*#*##*##***.#.##*#..***..*#*****##..##****##", "..#*.**.#*#.***.***#*#*#*##*#*#**..#**##*#*#", "#**.#*#..#.#*#*#*#*#*#**#**#*###*#***##*.*.*", ".*###*#*#*..#**##..#**#.#.#..*#*#*.#*.*#*#.#", "#*#****#**#**.#.*##*.#***...#**.#*#.*##.*.##", "##*.##..#**#*###..**#**#.#*#.*#*.###*.*#*###"}

    52

    Returns: 198.83254208608378

  49. {"##...#..#...#.#.*#...#..#.*.#.#*..##", "#.*##.*#*#.#..**##*#...#*.##.*#.##.#", ".#*.#*#..#..##.##...#.#.#..#.##.....", ".#*##*.#..*#.....*#.#.#**#...#..#.##", ".*...#...##.#.#.#..#.#.#.#.#.#.##.#.", "#.#.###.#.#..#*..##..*.*.#.*#.*#..#*", "##...#...*#.#.*#..##.###.##*..#.#.#.", "###*###.#.#.##.#.#.#.#...*.#.#*..#..", "###..##..#...#.*#**.#..#.##...##..#.", "##..#...#.#.#..#.#.#*.###..#.#.#.#*.", "#.#..#.#....*#.**#*#.#*###.#.#*#*..#", "..#.#..*.#.##..##..#..*.#.*#.#..#*#*", "#*....#.#.#*.#.#.*#..###..##..#...#.", "..#.#..#*.*.#.*.#*.*#.*.#...#.#.##..", ".#.#**#.*##.#.#.#.##*.##.##.#*.....#", "#.*.#.#.#..#.#*...#*.#*.*#..#.##.##.", ".##.#.#*.#....##.#..#.#.#..#..#.###*", "*..*#..#..#.#*#.*#.#..#...#..#...#..", "#.#.##...#..##.#..**#..##...##.##.#.", "###..#.#...#....##.###.#..#.........", "#**#*.*#*##.###..#..#...##..##.#*#.#", ".#**##..#*....*#.*.#*#.#..#*###.#...", "..*#.#*#.#*##*#..##.***.#....#...#*#", ".#.#.....#...#.#.#.##.#.#.#*#.#.#*#.", "#...#.##*.#.#......*##..*.##.**.....", "*.##.##*.#...#.###.#.*.#.#*..#*###.#", "#..#....####..#..#..##.#*#.##.#*.#..", "#.#.##.#.#..*#*.#..##..*#*....##.#.#", "....#....#.#...#.#*..#*#..#.##....#*", "#.#..##.###.##*..##.#*...#.#..#.##.*", "##.#*..*.#....#*#....#*###.#*#.....#", "#...#.#.#..#.##..#.###*..*.....#.#..", "**#..#..#.#.##..##..*..##.###.#.*.#.", "*#**#*.#*...*.#..*.#*#...##..###.#..", ".#.#.#..##.#*#.#.######*#...#*#.#.#.", "..#*..#*#**.#....#.#.##...#.*.**#..#", "#.###.#...##.##.#..*.*.#.#*#.#*#..##", "#**...**#..*..#..#*##.#.#..#.#*#.#.#", ".#.#*#.#.*#.#*..#**#.##.#*#*.#..*...", "..*.#..##.#.#*##.#....**...##.#.###.", ".###.##*.#..#.*...*#.#.#.##.#**#..*#", "#*...#*#.#*#.*##.#..#...#*.*..#..##.", "##.#*....*#.#*#.#.#.*#*#*#.##.##..#*", "#..##*#.#......*#..#..#.*....#*..#*.", "..#..*.###.#.#.#..###*.*#####.#.#.#*", "##.####.##..#..*.#.#..#..*.**...**..", "...*.*...*.#.*##..*.#*.#.##*#.#.##.#"}

    179

    Returns: 1128.4867209601553

  50. {"****#*#***#**", "##*#****#***#", "****###*#*#**", "#*#*#****##*#", "##**##*#***##", "#*#****##*#*#", "***#*#***#***", "*#***#*#**#*#", "#**#**#*#****", "#*##*#**#*##*", "*#****#*#**#*", "***##****###*", "#*#**#*#****#", "#***#**##*#**", "**#**#***#*#*", "#**##**#***#*", "**####*##*#*#", "#**##***#****", "**#***#*#*#*#", "#**###***#***", "**#****#**##*", "#*#*##**#*##*", "**#***#**#***"}

    157

    Returns: 308.37956898270346

  51. {".#.#...#.##.........##..#.#..#.#.#.", "....#.#.....###.#*#....#...#.#....*", "##.##.*#.###...#.##.##.#.##....#.#.", ".....#..#...##.#.#.##....#.#.#.#..#", ".#.#..#...#...........##*....##.#..", "#.###*.###.##.#.#.#.#####.##.....#.", "#.###.##.#.....#...#..###.#..#.##..", "...#.......##.#..#..#*.#...#.##..#.", ".#...#.#.#.#..##..#.##..#.#.....#..", "#####...##.*#..#.###..#.#..##.#..#.", ".#....##.*.###..#.#.#.....#.#..#..#", "...#.#..##..#..#......#.#.#...##.##", ".#*.#..#.#.####.#.#.#.#..#.#.#....#", "..#..#......#.#...#.##..#.....#.#.*", ".#..#..#.#.##...##....#.#.#.#..###.", "..#..##...##.###...##.#..#..##..#..", "#..##...###.....#.#....##.#..#.##.#", ".##...#.#...#.#...#.#.#.#...#....##", "....##...#.#..#.#..#.....##.*##.###"}

    5

    Returns: 86.6060606060607

  52. {"##.#***####.*.#.#.#...*", "#...##.*##*.##..#*.###.", "*#.#..#....#..*###.....", ".#...#.#.#.#.#..#.*##.#", ".*#.#..*#...##.#.#.*.#.", "*#*.*.#..#.#.****..#..*", "..##.#*#...##*##.##*.#.", "*#.....#.#*.*.*#.*.#.*#", "..#*#.#..###*#.###*.#.*", ".#.###..#**#*#.*..####*", "...*#.#.#.#*#.#.#...#.#", "*#.#**#........###*#**#", "..#..#..###*#.#.#.#*#..", "#..#.*#...*###.*......#", "*#***##*##*.#..###.#.#*", "..*#.*..*##..#..**##...", "*#.##.#.#*###..#.#.*#.#", "#.**.#.....*..#.#..#...", "..####.##.##*#*..#..##.", "#.#.**.#*..#*..#..*#**#", "*#.*##..#*#..#.#.##.#.#", "..#**.#.#.##.##.#.#..*.", "#*..#.#.#..#.......*#.#", "..#.#.#**#..#.##.#.#.*.", ".#...###..#..##.#..####", "*#.#.*##.###.#...#**...", "#.##*#*...#...*#.#.####", "....*#*#.#.#.#**#......", "#*##*.##*#*..#.###.#.#.", "*.*#.#*.#.#.#.#.#.#...#", "#*#.*##.*.......*.*##..", "#.*#.*####.##*#.#.###.#", "**#*.#.*...#.#.#.#*#*#.", ".#.*#.##.#..*..**.**..*", ".#*#.**###*#.#.##.##.#.", "..#..#*.....#...*#...#*", "#..##..#.#.####.###*#.#", ".#.#*#.#.#..#.##.#.....", "..#.**.*#.*#.....*###.#", "*#..#.##.#.*.#.#.#..*#.", "**.#*.#....#.#.#**.#.**"}

    44

    Returns: 423.8562534665388

  53. {"..#*#.#*#..#.#...", "#***.*...#*#**##.", "#.#*#.##**..#.##.", "*.*#..#.##.#.....", "#*###*#..#.#.#.#.", "**##.##.#.#...#.*", "#*..**..*...#.*#.", "#.#.#.#.#.#..#*#*", "*..#*#.**##.#*#.#", ".#....#.#.*.#.#*#", "..#.#..#..#*..*.*", ".###.*###.#*###.#", "..#.#*.##.#..*#..", "#....#...#**##**#", "*.#.#.*##.#.**##.", ".#..*#.*..#.#.*..", "..#.#*##.#...#.#.", ".#*..*#.###*#*..#", "*##.#..*.#.*.#.##", "..#..#.#**#.#.*.#", ".#..#.*#.#*##.#.*", ".###.#.#.**.*#.#.", ".*.#*#*.##*#*.*#.", "#*##.*.##..##.##.", "...*##*#.##.##...", "#*##..........#.#", "*.#..#.###*##.*#.", "*##.##****##.#.**", ".#.*#..##*#..*##*", "#*.#.#...#.#.#.*#", "##.#**#.#**....#.", "#**#.##...##*#.*.", ".*#.....#..*#..##", "*#.####*.#.#*##*.", "#....*..#*.#...#*", "*.###.#.##..*#..*", "#.#.#.#*.#*#..##*", "*#*..*#.#.*##**#.", ".*.##..#..#.*.#.#", "*#*..#.#*#.##....", "#.*#*.#*.*...#*#*"}

    46

    Returns: 357.0526127703733

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    132

    Returns: 489.3649824993818

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    81

    Returns: 902.3907351135003

  56. {"**"}

    2

    Returns: 1.0

  57. {"**************************************************"}

    10

    Returns: 41.72727272727316

  58. {"**************************************************"}

    2

    Returns: 17.000000000000096

  59. {"**************************************************"}

    50

    Returns: 49.0

  60. {"*......*...*..........*..*.................*.....*"}

    3

    Returns: 33.285714285714334

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    2

    Returns: 1274.0

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    300

    Returns: 1261.0

  63. {"...........**.......*......*..*.*......*..***.....", "#################################################*", ".*........*.*.......*...*.*.......*....*.........*", ".#################################################", "...**..**..*..*...**.**......*.*.....*.**........*", "#################################################.", "..*..**...**...*.....*.......**.*.....*.*.....**..", ".#################################################", "*.**...***.........**.*..**.**.....**...*......*..", "#################################################.", ".......**.....*.........*.....**....**..*...*.**..", "*#################################################", "..*......*.......**..*...**....*..*.....*.......**", "#################################################.", "..........**....*...........*..**...........*.....", ".#################################################", ".....**..*.*......*.**....***.....*....*.*..*.....", "#################################################.", "*.**...*...*.....*.*......*......*..*......*****..", ".#################################################", "**..*...*...*.....**...............*.*.........*..", "#################################################*", ".................*............**.*............*...", ".#################################################", ".*.*.....*..*.....*....**.....*..***........**.*..", "#################################################.", ".........*.*...*.*.............*.....*........*.*.", "*#################################################", "...*.*..*...**....**.*......*....*.....****....*..", "#################################################.", "..................**...*...*.*..*............*....", ".#################################################", ".........*.....*........*.........*....*....***...", "#################################################.", ".*.*...........*..**....*.**.*.*..*....*....*.....", ".#################################################", ".........*............***..*...*..*..........***..", "#################################################.", "........*....*..*.**.*..*...*.*..*....*.....*....*", ".#################################################", "*.*..*....*..*............**........*.*......*..*.", "#################################################.", ".*****........*.*....*..*.*...*.....*...**..*.*.*.", ".#################################################", "..**...*..**.*.......*..***.*.....*..*...*....*...", "#################################################*", "*...*....*.....***........*..*......*.....*.......", ".#################################################", ".....**........**....*.*..*.*..*...*..*........**.", "#################################################."}

    2

    Returns: 438.47188405795896

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