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| 1 | +/** |
| 2 | + * [1591] Strange Printer II |
| 3 | + * |
| 4 | + * There is a strange printer with the following two special requirements: |
| 5 | + * |
| 6 | + * On each turn, the printer will print a solid rectangular pattern of a single color on the grid. This will cover up the existing colors in the rectangle. |
| 7 | + * Once the printer has used a color for the above operation, the same color cannot be used again. |
| 8 | + * |
| 9 | + * You are given a m x n matrix targetGrid, where targetGrid[row][col] is the color in the position (row, col) of the grid. |
| 10 | + * Return true if it is possible to print the matrix targetGrid, otherwise, return false. |
| 11 | + * |
| 12 | + * Example 1: |
| 13 | + * <img alt="" src="https://assets.leetcode.com/uploads/2021/12/23/print1.jpg" style="width: 600px; height: 175px;" /> |
| 14 | + * Input: targetGrid = [[1,1,1,1],[1,2,2,1],[1,2,2,1],[1,1,1,1]] |
| 15 | + * Output: true |
| 16 | + * |
| 17 | + * Example 2: |
| 18 | + * <img alt="" src="https://assets.leetcode.com/uploads/2021/12/23/print2.jpg" style="width: 600px; height: 367px;" /> |
| 19 | + * Input: targetGrid = [[1,1,1,1],[1,1,3,3],[1,1,3,4],[5,5,1,4]] |
| 20 | + * Output: true |
| 21 | + * |
| 22 | + * Example 3: |
| 23 | + * |
| 24 | + * Input: targetGrid = [[1,2,1],[2,1,2],[1,2,1]] |
| 25 | + * Output: false |
| 26 | + * Explanation: It is impossible to form targetGrid because it is not allowed to print the same color in different turns. |
| 27 | + * |
| 28 | + * |
| 29 | + * Constraints: |
| 30 | + * |
| 31 | + * m == targetGrid.length |
| 32 | + * n == targetGrid[i].length |
| 33 | + * 1 <= m, n <= 60 |
| 34 | + * 1 <= targetGrid[row][col] <= 60 |
| 35 | + * |
| 36 | + */ |
| 37 | +pub struct Solution {} |
| 38 | + |
| 39 | +// problem: https://leetcode.com/problems/strange-printer-ii/ |
| 40 | +// discuss: https://leetcode.com/problems/strange-printer-ii/discuss/?currentPage=1&orderBy=most_votes&query= |
| 41 | + |
| 42 | +// submission codes start here |
| 43 | + |
| 44 | +impl Solution { |
| 45 | + // Credit: https://leetcode.com/problems/strange-printer-ii/solutions/3175080/just-a-runnable-solution/ |
| 46 | + pub fn is_printable(target_grid: Vec<Vec<i32>>) -> bool { |
| 47 | + let (m, n) = (target_grid.len() as i32, target_grid[0].len() as i32); |
| 48 | + let mut dep = vec![std::collections::HashSet::new(); 61]; |
| 49 | + for i in 1..=60 { |
| 50 | + let (mut minx, mut miny, mut maxx, mut maxy) = (m, n, -1, -1); |
| 51 | + for x in 0..m { |
| 52 | + for y in 0..n { |
| 53 | + if target_grid[x as usize][y as usize] == i { |
| 54 | + minx = minx.min(x); |
| 55 | + miny = miny.min(y); |
| 56 | + maxx = maxx.max(x); |
| 57 | + maxy = maxy.max(y); |
| 58 | + } |
| 59 | + } |
| 60 | + } |
| 61 | + for tx in minx..=maxx { |
| 62 | + for ty in miny..=maxy { |
| 63 | + if target_grid[tx as usize][ty as usize] != i { |
| 64 | + dep[i as usize].insert(target_grid[tx as usize][ty as usize]); |
| 65 | + } |
| 66 | + } |
| 67 | + } |
| 68 | + } |
| 69 | + let mut vis = vec![0; 61]; |
| 70 | + for i in 1..=60 { |
| 71 | + if vis[i] == 0 && Self::has_circle(i, &dep, &mut vis) { |
| 72 | + return false; |
| 73 | + } |
| 74 | + } |
| 75 | + true |
| 76 | + } |
| 77 | + |
| 78 | + fn has_circle( |
| 79 | + curr: usize, |
| 80 | + dep: &Vec<std::collections::HashSet<i32>>, |
| 81 | + vis: &mut Vec<i32>, |
| 82 | + ) -> bool { |
| 83 | + vis[curr] = 1; |
| 84 | + for &d in dep[curr].iter() { |
| 85 | + let d = d as usize; |
| 86 | + if vis[d] == 2 { |
| 87 | + continue; |
| 88 | + } |
| 89 | + if vis[d] == 1 { |
| 90 | + return true; |
| 91 | + } |
| 92 | + if Self::has_circle(d, dep, vis) { |
| 93 | + return true; |
| 94 | + } |
| 95 | + } |
| 96 | + vis[curr] = 2; |
| 97 | + false |
| 98 | + } |
| 99 | +} |
| 100 | + |
| 101 | +// submission codes end |
| 102 | + |
| 103 | +#[cfg(test)] |
| 104 | +mod tests { |
| 105 | + use super::*; |
| 106 | + |
| 107 | + #[test] |
| 108 | + fn test_1591_example_1() { |
| 109 | + let target_grid = vec![ |
| 110 | + vec![1, 1, 1, 1], |
| 111 | + vec![1, 2, 2, 1], |
| 112 | + vec![1, 2, 2, 1], |
| 113 | + vec![1, 1, 1, 1], |
| 114 | + ]; |
| 115 | + |
| 116 | + let result = true; |
| 117 | + |
| 118 | + assert_eq!(Solution::is_printable(target_grid), result); |
| 119 | + } |
| 120 | + |
| 121 | + #[test] |
| 122 | + fn test_1591_example_2() { |
| 123 | + let target_grid = vec![ |
| 124 | + vec![1, 1, 1, 1], |
| 125 | + vec![1, 1, 3, 3], |
| 126 | + vec![1, 1, 3, 4], |
| 127 | + vec![5, 5, 1, 4], |
| 128 | + ]; |
| 129 | + |
| 130 | + let result = true; |
| 131 | + |
| 132 | + assert_eq!(Solution::is_printable(target_grid), result); |
| 133 | + } |
| 134 | + |
| 135 | + #[test] |
| 136 | + fn test_1591_example_3() { |
| 137 | + let target_grid = vec![vec![1, 2, 1], vec![2, 1, 2], vec![1, 2, 1]]; |
| 138 | + |
| 139 | + let result = false; |
| 140 | + |
| 141 | + assert_eq!(Solution::is_printable(target_grid), result); |
| 142 | + } |
| 143 | +} |
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