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35 | 35 |
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36 | 36 | <!-- 这里可写通用的实现逻辑 -->
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37 | 37 |
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| 38 | +二分查找,时间复杂度 `O(mlogn + nlogm)`。 |
| 39 | + |
38 | 40 | <!-- tabs:start -->
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39 | 41 |
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40 | 42 | ### **Python3**
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41 | 43 |
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42 | 44 | <!-- 这里可写当前语言的特殊实现逻辑 -->
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43 | 45 |
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44 | 46 | ```python
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45 |
| - |
| 47 | +class Solution: |
| 48 | + def minArea(self, image: List[List[str]], x: int, y: int) -> int: |
| 49 | + m, n = len(image), len(image[0]) |
| 50 | + left, right = 0, x |
| 51 | + while left < right: |
| 52 | + mid = (left + right) >> 1 |
| 53 | + c = 0 |
| 54 | + while c < n and image[mid][c] == '0': |
| 55 | + c += 1 |
| 56 | + if c < n: |
| 57 | + right = mid |
| 58 | + else: |
| 59 | + left = mid + 1 |
| 60 | + u = left |
| 61 | + left, right = x, m - 1 |
| 62 | + while left < right: |
| 63 | + mid = (left + right + 1) >> 1 |
| 64 | + c = 0 |
| 65 | + while c < n and image[mid][c] == '0': |
| 66 | + c += 1 |
| 67 | + if c < n: |
| 68 | + left = mid |
| 69 | + else: |
| 70 | + right = mid - 1 |
| 71 | + d = left |
| 72 | + left, right = 0, y |
| 73 | + while left < right: |
| 74 | + mid = (left + right) >> 1 |
| 75 | + r = 0 |
| 76 | + while r < m and image[r][mid] == '0': |
| 77 | + r += 1 |
| 78 | + if r < m: |
| 79 | + right = mid |
| 80 | + else: |
| 81 | + left = mid + 1 |
| 82 | + l = left |
| 83 | + left, right = y, n - 1 |
| 84 | + while left < right: |
| 85 | + mid = (left + right + 1) >> 1 |
| 86 | + r = 0 |
| 87 | + while r < m and image[r][mid] == '0': |
| 88 | + r += 1 |
| 89 | + if r < m: |
| 90 | + left = mid |
| 91 | + else: |
| 92 | + right = mid - 1 |
| 93 | + r = left |
| 94 | + return (d - u + 1) * (r - l + 1) |
46 | 95 | ```
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47 | 96 |
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48 | 97 | ### **Java**
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49 | 98 |
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50 | 99 | <!-- 这里可写当前语言的特殊实现逻辑 -->
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51 | 100 |
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52 | 101 | ```java
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| 102 | +class Solution { |
| 103 | + |
| 104 | + public int minArea(char[][] image, int x, int y) { |
| 105 | + int m = image.length, n = image[0].length; |
| 106 | + int left = 0, right = x; |
| 107 | + while (left < right) { |
| 108 | + int mid = (left + right) >> 1; |
| 109 | + int c = 0; |
| 110 | + while (c < n && image[mid][c] == '0') { |
| 111 | + ++c; |
| 112 | + } |
| 113 | + if (c < n) { |
| 114 | + right = mid; |
| 115 | + } else { |
| 116 | + left = mid + 1; |
| 117 | + } |
| 118 | + } |
| 119 | + int u = left; |
| 120 | + left = x; |
| 121 | + right = m - 1; |
| 122 | + while (left < right) { |
| 123 | + int mid = (left + right + 1) >> 1; |
| 124 | + int c = 0; |
| 125 | + while (c < n && image[mid][c] == '0') { |
| 126 | + ++c; |
| 127 | + } |
| 128 | + if (c < n) { |
| 129 | + left = mid; |
| 130 | + } else { |
| 131 | + right = mid - 1; |
| 132 | + } |
| 133 | + } |
| 134 | + int d = left; |
| 135 | + left = 0; |
| 136 | + right = y; |
| 137 | + while (left < right) { |
| 138 | + int mid = (left + right) >> 1; |
| 139 | + int r = 0; |
| 140 | + while (r < m && image[r][mid] == '0') { |
| 141 | + ++r; |
| 142 | + } |
| 143 | + if (r < m) { |
| 144 | + right = mid; |
| 145 | + } else { |
| 146 | + left = mid + 1; |
| 147 | + } |
| 148 | + } |
| 149 | + int l = left; |
| 150 | + left = y; |
| 151 | + right = n - 1; |
| 152 | + while (left < right) { |
| 153 | + int mid = (left + right + 1) >> 1; |
| 154 | + int r = 0; |
| 155 | + while (r < m && image[r][mid] == '0') { |
| 156 | + ++r; |
| 157 | + } |
| 158 | + if (r < m) { |
| 159 | + left = mid; |
| 160 | + } else { |
| 161 | + right = mid - 1; |
| 162 | + } |
| 163 | + } |
| 164 | + int r = left; |
| 165 | + return (d - u + 1) * (r - l + 1); |
| 166 | + } |
| 167 | +} |
| 168 | + |
| 169 | +``` |
| 170 | + |
| 171 | +### **C++** |
| 172 | + |
| 173 | +```cpp |
| 174 | +class Solution { |
| 175 | +public: |
| 176 | + int minArea(vector<vector<char>>& image, int x, int y) { |
| 177 | + int m = image.size(), n = image[0].size(); |
| 178 | + int left = 0, right = x; |
| 179 | + while (left < right) |
| 180 | + { |
| 181 | + int mid = (left + right) >> 1; |
| 182 | + int c = 0; |
| 183 | + while (c < n && image[mid][c] == '0') ++c; |
| 184 | + if (c < n) right = mid; |
| 185 | + else left = mid + 1; |
| 186 | + } |
| 187 | + int u = left; |
| 188 | + left = x; |
| 189 | + right = m - 1; |
| 190 | + while (left < right) |
| 191 | + { |
| 192 | + int mid = (left + right + 1) >> 1; |
| 193 | + int c = 0; |
| 194 | + while (c < n && image[mid][c] == '0') ++c; |
| 195 | + if (c < n) left = mid; |
| 196 | + else right = mid - 1; |
| 197 | + } |
| 198 | + int d = left; |
| 199 | + left = 0; |
| 200 | + right = y; |
| 201 | + while (left < right) |
| 202 | + { |
| 203 | + int mid = (left + right) >> 1; |
| 204 | + int r = 0; |
| 205 | + while (r < m && image[r][mid] == '0') ++r; |
| 206 | + if (r < m) right = mid; |
| 207 | + else left = mid + 1; |
| 208 | + } |
| 209 | + int l = left; |
| 210 | + left = y; |
| 211 | + right = n - 1; |
| 212 | + while (left < right) |
| 213 | + { |
| 214 | + int mid = (left + right + 1) >> 1; |
| 215 | + int r = 0; |
| 216 | + while (r < m && image[r][mid] == '0') ++r; |
| 217 | + if (r < m) left = mid; |
| 218 | + else right = mid - 1; |
| 219 | + } |
| 220 | + int r = left; |
| 221 | + return (d - u + 1) * (r - l + 1); |
| 222 | + } |
| 223 | +}; |
| 224 | +``` |
| 225 | +
|
| 226 | +### **Go** |
53 | 227 |
|
| 228 | +```go |
| 229 | +func minArea(image [][]byte, x int, y int) int { |
| 230 | + m, n := len(image), len(image[0]) |
| 231 | + left, right := 0, x |
| 232 | + for left < right { |
| 233 | + mid := (left + right) >> 1 |
| 234 | + c := 0 |
| 235 | + for c < n && image[mid][c] == '0' { |
| 236 | + c++ |
| 237 | + } |
| 238 | + if c < n { |
| 239 | + right = mid |
| 240 | + } else { |
| 241 | + left = mid + 1 |
| 242 | + } |
| 243 | + } |
| 244 | + u := left |
| 245 | + left, right = x, m-1 |
| 246 | + for left < right { |
| 247 | + mid := (left + right + 1) >> 1 |
| 248 | + c := 0 |
| 249 | + for c < n && image[mid][c] == '0' { |
| 250 | + c++ |
| 251 | + } |
| 252 | + if c < n { |
| 253 | + left = mid |
| 254 | + } else { |
| 255 | + right = mid - 1 |
| 256 | + } |
| 257 | + } |
| 258 | + d := left |
| 259 | + left, right = 0, y |
| 260 | + for left < right { |
| 261 | + mid := (left + right) >> 1 |
| 262 | + r := 0 |
| 263 | + for r < m && image[r][mid] == '0' { |
| 264 | + r++ |
| 265 | + } |
| 266 | + if r < m { |
| 267 | + right = mid |
| 268 | + } else { |
| 269 | + left = mid + 1 |
| 270 | + } |
| 271 | + } |
| 272 | + l := left |
| 273 | + left, right = y, n-1 |
| 274 | + for left < right { |
| 275 | + mid := (left + right + 1) >> 1 |
| 276 | + r := 0 |
| 277 | + for r < m && image[r][mid] == '0' { |
| 278 | + r++ |
| 279 | + } |
| 280 | + if r < m { |
| 281 | + left = mid |
| 282 | + } else { |
| 283 | + right = mid - 1 |
| 284 | + } |
| 285 | + } |
| 286 | + r := left |
| 287 | + return (d - u + 1) * (r - l + 1) |
| 288 | +} |
54 | 289 | ```
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55 | 290 |
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56 | 291 | ### **...**
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