1
  2
  3
  4
  5
  6
  7
  8
  9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
 20
 21
 22
 23
 24
 25
 26
 27
 28
 29
 30
 31
 32
 33
 34
 35
 36
 37
 38
 39
 40
 41
 42
 43
 44
 45
 46
 47
 48
 49
 50
 51
 52
 53
 54
 55
 56
 57
 58
 59
 60
 61
 62
 63
 64
 65
 66
 67
 68
 69
 70
 71
 72
 73
 74
 75
 76
 77
 78
 79
 80
 81
 82
 83
 84
 85
 86
 87
 88
 89
 90
 91
 92
 93
 94
 95
 96
 97
 98
 99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
#![allow(dead_code)]

// dfs with recursive: time out
pub fn num_islands(grid: Vec<Vec<char>>) -> i32 {
    use std::iter;
    let mut visited: Vec<Vec<bool>> = Vec::with_capacity(grid.len());
    for _ in 0..grid.len() {
        visited.push(iter::repeat(false).take(grid[0].len()).collect());
    }
    let mut count = 0;
    for i in 0..grid.len() {
        for j in 0..grid[0].len() {
            if grid[i][j] == '1' && !visited[i][j] {
                dfs(&grid, &mut visited, i, j);
                count += 1;
            }
        }
    }

    count
}

fn dfs(grid: &Vec<Vec<char>>, mut visited: &mut Vec<Vec<bool>>, i: usize, j: usize) {
    visited[i][j] = true;

    if i < grid.len() - 1 && !visited[i + 1][j] && grid[i + 1][j] == '1' {
        dfs(&grid, &mut visited, i + 1, j);
    }
    if i > 0 && !visited[i - 1][j] && grid[i - 1][j] == '1' {
        dfs(&grid, &mut visited, i - 1, j);
    }
    if j < grid[0].len() - 1 && !visited[i][j + 1] && grid[i][j + 1] == '1' {
        dfs(&grid, &mut visited, i, j + 1);
    }
    if j > 0 && !visited[i][j - 1] && grid[i][j - 1] == '1' {
        dfs(&grid, &mut visited, i, j - 1);
    }
}

// bfs with loop: time out
pub fn num_islands2(grid: Vec<Vec<char>>) -> i32 {
    use std::iter;
    let mut visited: Vec<Vec<bool>> = Vec::with_capacity(grid.len());
    for _ in 0..grid.len() {
        visited.push(iter::repeat(false).take(grid[0].len()).collect());
    }
    let mut count = 0;
    for i in 0..grid.len() {
        for j in 0..grid[0].len() {
            if grid[i][j] == '1' && !visited[i][j] {
                bfs(&grid, &mut visited, i, j);
                count += 1;
            }
        }
    }

    count
}

fn bfs(grid: &Vec<Vec<char>>, visited: &mut Vec<Vec<bool>>, i: usize, j: usize) {
    use std::collections::LinkedList;
    let mut q = LinkedList::new();
    q.push_back((i, j));
    while !q.is_empty() {
        match q.pop_front() {
            Some((i, j)) => {
                visited[i][j] = true;
                if i + 1 < grid.len() && !visited[i + 1][j] && grid[i + 1][j] == '1' {
                    q.push_back((i + 1, j));
                }
                if i > 0 && !visited[i - 1][j] && grid[i - 1][j] == '1' {
                    q.push_back((i - 1, j));
                }
                if j + 1 < grid[0].len() && !visited[i][j + 1] && grid[i][j + 1] == '1' {
                    q.push_back((i, j + 1));
                }
                if j > 0 && !visited[i][j - 1] && grid[i][j - 1] == '1' {
                    q.push_back((i, j - 1));
                }
            }

            None => unreachable!(),
        }
    }
}

// bfs with loop: reuse the grid
pub fn num_islands3(mut grid: Vec<Vec<char>>) -> i32 {
    let mut count = 0;
    for i in 0..grid.len() {
        for j in 0..grid[0].len() {
            if grid[i][j] == '1' {
                bfs2(&mut grid, i, j);
                count += 1;
            }
        }
    }

    count
}

fn bfs2(grid: &mut Vec<Vec<char>>, i: usize, j: usize) {
    use std::collections::LinkedList;
    let mut q = LinkedList::new();
    q.push_back((i, j));
    while !q.is_empty() {
        match q.pop_front() {
            Some((i, j)) => {
                if i + 1 < grid.len() && grid[i + 1][j] == '1' {
                    grid[i + 1][j] = '0';
                    q.push_back((i + 1, j));
                }
                if i > 0 && grid[i - 1][j] == '1' {
                    grid[i - 1][j] = '0';
                    q.push_back((i - 1, j));
                }
                if j + 1 < grid[0].len() && grid[i][j + 1] == '1' {
                    grid[i][j + 1] = '0';
                    q.push_back((i, j + 1));
                }
                if j > 0 && grid[i][j - 1] == '1' {
                    grid[i][j - 1] = '0';
                    q.push_back((i, j - 1));
                }
            }

            None => unreachable!(),
        }
    }
}

#[cfg(test)]
mod tests {
    use super::*;

    #[test]
    fn test1() {
        let grid = vec![
            vec!['1', '1', '0', '0', '0'],
            vec!['1', '1', '0', '0', '0'],
            vec!['0', '0', '1', '0', '0'],
            vec!['0', '0', '0', '1', '1'],
        ];

        assert_eq!(num_islands(grid), 3);
    }

    #[test]
    fn test2() {
        let grid = vec![
            vec!['1', '1', '0', '0', '0'],
            vec!['1', '1', '0', '0', '0'],
            vec!['0', '0', '1', '0', '0'],
            vec!['0', '0', '0', '1', '1'],
        ];

        assert_eq!(num_islands2(grid), 3);
    }

    #[test]
    fn test3() {
        let grid = vec![
            vec!['1', '1', '0', '0', '0'],
            vec!['1', '1', '0', '0', '0'],
            vec!['0', '0', '1', '0', '0'],
            vec!['0', '0', '0', '1', '1'],
        ];

        assert_eq!(num_islands3(grid), 3);
    }
}