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42 | 42 |
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43 | 43 | <!-- 这里可写通用的实现逻辑 -->
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44 | 44 |
|
| 45 | +**方法一:BFS** |
| 46 | + |
| 47 | +时间复杂度 $O(m \times n \times l)$,空间复杂度 $O(m \times n \times l)$。 |
| 48 | + |
45 | 49 | <!-- tabs:start -->
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46 | 50 |
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47 | 51 | ### **Python3**
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48 | 52 |
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49 | 53 | <!-- 这里可写当前语言的特殊实现逻辑 -->
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50 | 54 |
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51 | 55 | ```python
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52 |
| - |
| 56 | +class Solution: |
| 57 | + def extractMantra(self, matrix: List[str], mantra: str) -> int: |
| 58 | + m, n = len(matrix), len(matrix[0]) |
| 59 | + q = deque([(0, 0, 0)]) |
| 60 | + vis = {q[0]} |
| 61 | + dirs = (-1, 0, 1, 0, -1) |
| 62 | + ans = 0 |
| 63 | + while q: |
| 64 | + for _ in range(len(q)): |
| 65 | + i, j, k = q.popleft() |
| 66 | + if k == len(mantra): |
| 67 | + return ans |
| 68 | + if matrix[i][j] == mantra[k]: |
| 69 | + t = (i, j, k + 1) |
| 70 | + if t not in vis: |
| 71 | + vis.add(t) |
| 72 | + q.append(t) |
| 73 | + else: |
| 74 | + for a, b in pairwise(dirs): |
| 75 | + x, y = i + a, j + b |
| 76 | + if 0 <= x < m and 0 <= y < n: |
| 77 | + t = (x, y, k) |
| 78 | + if t not in vis: |
| 79 | + vis.add(t) |
| 80 | + q.append(t) |
| 81 | + ans += 1 |
| 82 | + return -1 |
53 | 83 | ```
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54 | 84 |
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55 | 85 | ### **Java**
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56 | 86 |
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57 | 87 | <!-- 这里可写当前语言的特殊实现逻辑 -->
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58 | 88 |
|
59 | 89 | ```java
|
| 90 | +class Solution { |
| 91 | + public int extractMantra(String[] matrix, String mantra) { |
| 92 | + int m = matrix.length, n = matrix[0].length(); |
| 93 | + int l = mantra.length(); |
| 94 | + Deque<int[]> q = new ArrayDeque<>(); |
| 95 | + q.offer(new int[] {0, 0, 0}); |
| 96 | + boolean[][][] vis = new boolean[m][n][l + 1]; |
| 97 | + vis[0][0][0] = true; |
| 98 | + int[] dirs = {-1, 0, 1, 0, -1}; |
| 99 | + int ans = 0; |
| 100 | + for (; !q.isEmpty(); ++ans) { |
| 101 | + for (int size = q.size(); size > 0; --size) { |
| 102 | + var p = q.poll(); |
| 103 | + int i = p[0], j = p[1], k = p[2]; |
| 104 | + if (k == l) { |
| 105 | + return ans; |
| 106 | + } |
| 107 | + if (matrix[i].charAt(j) == mantra.charAt(k) && !vis[i][j][k + 1]) { |
| 108 | + vis[i][j][k + 1] = true; |
| 109 | + q.offer(new int[] {i, j, k + 1}); |
| 110 | + } else { |
| 111 | + for (int c = 0; c < 4; ++c) { |
| 112 | + int x = i + dirs[c], y = j + dirs[c + 1]; |
| 113 | + if (x >= 0 && x < m && y >= 0 && y < n && !vis[x][y][k]) { |
| 114 | + vis[x][y][k] = true; |
| 115 | + q.offer(new int[] {x, y, k}); |
| 116 | + } |
| 117 | + } |
| 118 | + } |
| 119 | + } |
| 120 | + } |
| 121 | + return -1; |
| 122 | + } |
| 123 | +} |
| 124 | +``` |
| 125 | + |
| 126 | +### **C++** |
| 127 | + |
| 128 | +```cpp |
| 129 | +class Solution { |
| 130 | +public: |
| 131 | + int extractMantra(vector<string>& matrix, string mantra) { |
| 132 | + int m = matrix.size(), n = matrix[0].size(); |
| 133 | + int l = mantra.size(); |
| 134 | + queue<tuple<int, int, int>> q; |
| 135 | + q.push({0, 0, 0}); |
| 136 | + bool vis[m][n][l + 1]; |
| 137 | + memset(vis, 0, sizeof(vis)); |
| 138 | + int dirs[5] = {-1, 0, 1, 0, -1}; |
| 139 | + int ans = 0; |
| 140 | + for (; q.size(); ++ans) { |
| 141 | + for (int size = q.size(); size; --size) { |
| 142 | + auto [i, j, k] = q.front(); |
| 143 | + q.pop(); |
| 144 | + if (k == l) { |
| 145 | + return ans; |
| 146 | + } |
| 147 | + if (matrix[i][j] == mantra[k] && !vis[i][j][k + 1]) { |
| 148 | + vis[i][j][k + 1] = true; |
| 149 | + q.push({i, j, k + 1}); |
| 150 | + } else { |
| 151 | + for (int c = 0; c < 4; ++c) { |
| 152 | + int x = i + dirs[c], y = j + dirs[c + 1]; |
| 153 | + if (x >= 0 && x < m && y >= 0 && y < n && !vis[x][y][k]) { |
| 154 | + vis[x][y][k] = true; |
| 155 | + q.push({x, y, k}); |
| 156 | + } |
| 157 | + } |
| 158 | + } |
| 159 | + } |
| 160 | + } |
| 161 | + return -1; |
| 162 | + } |
| 163 | +}; |
| 164 | +``` |
| 165 | +
|
| 166 | +### **Go** |
| 167 | +
|
| 168 | +```go |
| 169 | +func extractMantra(matrix []string, mantra string) (ans int) { |
| 170 | + m, n, l := len(matrix), len(matrix[0]), len(mantra) |
| 171 | + q := [][3]int{[3]int{0, 0, 0}} |
| 172 | + vis := make([][][]bool, m) |
| 173 | + for i := range vis { |
| 174 | + vis[i] = make([][]bool, n) |
| 175 | + for j := range vis[i] { |
| 176 | + vis[i][j] = make([]bool, l+1) |
| 177 | + } |
| 178 | + } |
| 179 | + vis[0][0][0] = true |
| 180 | + dirs := [5]int{-1, 0, 1, 0, -1} |
| 181 | + for ; len(q) > 0; ans++ { |
| 182 | + for size := len(q); size > 0; size-- { |
| 183 | + p := q[0] |
| 184 | + q = q[1:] |
| 185 | + i, j, k := p[0], p[1], p[2] |
| 186 | + if k == l { |
| 187 | + return ans |
| 188 | + } |
| 189 | + if matrix[i][j] == mantra[k] && !vis[i][j][k+1] { |
| 190 | + vis[i][j][k+1] = true |
| 191 | + q = append(q, [3]int{i, j, k + 1}) |
| 192 | + } else { |
| 193 | + for c := 0; c < 4; c++ { |
| 194 | + x, y := i+dirs[c], j+dirs[c+1] |
| 195 | + if x >= 0 && x < m && y >= 0 && y < n && !vis[x][y][k] { |
| 196 | + vis[x][y][k] = true |
| 197 | + q = append(q, [3]int{x, y, k}) |
| 198 | + } |
| 199 | + } |
| 200 | + } |
| 201 | + } |
| 202 | + } |
| 203 | + return -1 |
| 204 | +} |
| 205 | +``` |
60 | 206 |
|
| 207 | +### **TypeScript** |
| 208 | + |
| 209 | +```ts |
| 210 | +function extractMantra(matrix: string[], mantra: string): number { |
| 211 | + const [m, n, l] = [matrix.length, matrix[0].length, mantra.length]; |
| 212 | + const q: number[][] = [[0, 0, 0]]; |
| 213 | + const vis: boolean[][][] = Array(m) |
| 214 | + .fill(0) |
| 215 | + .map(() => |
| 216 | + Array(n) |
| 217 | + .fill(0) |
| 218 | + .map(() => Array(l + 1).fill(false)), |
| 219 | + ); |
| 220 | + const dirs: number[] = [-1, 0, 1, 0, -1]; |
| 221 | + let ans = 0; |
| 222 | + for (; q.length > 0; ++ans) { |
| 223 | + for (let size = q.length; size > 0; --size) { |
| 224 | + const [i, j, k] = q.shift()!; |
| 225 | + if (k === l) { |
| 226 | + return ans; |
| 227 | + } |
| 228 | + if (matrix[i][j] === mantra[k] && !vis[i][j][k + 1]) { |
| 229 | + vis[i][j][k + 1] = true; |
| 230 | + q.push([i, j, k + 1]); |
| 231 | + } else { |
| 232 | + for (let c = 0; c < 4; ++c) { |
| 233 | + const [x, y] = [i + dirs[c], j + dirs[c + 1]]; |
| 234 | + if (x >= 0 && x < m && y >= 0 && y < n && !vis[x][y][k]) { |
| 235 | + vis[x][y][k] = true; |
| 236 | + q.push([x, y, k]); |
| 237 | + } |
| 238 | + } |
| 239 | + } |
| 240 | + } |
| 241 | + } |
| 242 | + return -1; |
| 243 | +} |
61 | 244 | ```
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62 | 245 |
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63 | 246 | ### **...**
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