|
| 1 | +##1. Brute Force (Linear Search) |
| 2 | + |
| 3 | +::tabs-start |
| 4 | + |
| 5 | +```python |
| 6 | +# The isBadVersion API is already defined for you. |
| 7 | +# def isBadVersion(version: int) -> bool: |
| 8 | + |
| 9 | +classSolution: |
| 10 | +deffirstBadVersion(self,n:int) ->int: |
| 11 | +for iinrange(1, n): |
| 12 | +if isBadVersion(i): |
| 13 | +return i |
| 14 | +return n |
| 15 | +``` |
| 16 | + |
| 17 | +```java |
| 18 | +/* The isBadVersion API is defined in the parent class VersionControl. |
| 19 | + boolean isBadVersion(int version);*/ |
| 20 | + |
| 21 | +publicclassSolutionextendsVersionControl { |
| 22 | +publicintfirstBadVersion(intn) { |
| 23 | +for (int i=1; i< n; i++) { |
| 24 | +if (isBadVersion(i)) { |
| 25 | +return i; |
| 26 | + } |
| 27 | + } |
| 28 | +return n; |
| 29 | + } |
| 30 | +} |
| 31 | +``` |
| 32 | + |
| 33 | +```cpp |
| 34 | +// The API isBadVersion is defined for you. |
| 35 | +// bool isBadVersion(int version); |
| 36 | + |
| 37 | +classSolution { |
| 38 | +public: |
| 39 | + int firstBadVersion(int n) { |
| 40 | + for (int i = 1; i < n; i++) { |
| 41 | + if (isBadVersion(i)) { |
| 42 | + return i; |
| 43 | + } |
| 44 | + } |
| 45 | + return n; |
| 46 | + } |
| 47 | +}; |
| 48 | +``` |
| 49 | +
|
| 50 | +```javascript |
| 51 | +// The isBadVersion API is already defined in the VersionControl class. |
| 52 | +// isBadVersion(version: number): boolean |
| 53 | +
|
| 54 | +class Solution extends VersionControl { |
| 55 | + /** |
| 56 | + * @param {number} n Total versions |
| 57 | + * @return {number} The first bad version |
| 58 | + */ |
| 59 | + firstBadVersion(n) { |
| 60 | + for (let i = 1; i < n; i++) { |
| 61 | + if (this.isBadVersion(i)) { |
| 62 | + return i; |
| 63 | + } |
| 64 | + } |
| 65 | + return n; |
| 66 | + } |
| 67 | +} |
| 68 | +``` |
| 69 | + |
| 70 | +::tabs-end |
| 71 | + |
| 72 | +###Time & Space Complexity |
| 73 | + |
| 74 | +* Time complexity: $O(n)$ |
| 75 | +* Space complexity: $O(1)$ extra space. |
| 76 | + |
| 77 | +--- |
| 78 | + |
| 79 | +##2. Recursive Binary Search |
| 80 | + |
| 81 | +::tabs-start |
| 82 | + |
| 83 | +```python |
| 84 | +# The isBadVersion API is already defined for you. |
| 85 | +# def isBadVersion(version: int) -> bool: |
| 86 | + |
| 87 | +classSolution: |
| 88 | +deffirstBadVersion(self,n:int) ->int: |
| 89 | +defhelper(l,r): |
| 90 | +if l> r: |
| 91 | +return l |
| 92 | + m= l+ (r- l)//2 |
| 93 | +if isBadVersion(m): |
| 94 | +return helper(l, m-1) |
| 95 | +else: |
| 96 | +return helper(m+1, r) |
| 97 | + |
| 98 | +return helper(1, n) |
| 99 | +``` |
| 100 | + |
| 101 | +```java |
| 102 | +/* The isBadVersion API is defined in the parent class VersionControl. |
| 103 | + boolean isBadVersion(int version);*/ |
| 104 | + |
| 105 | +publicclassSolutionextendsVersionControl { |
| 106 | +publicintfirstBadVersion(intn) { |
| 107 | +return helper(1, n); |
| 108 | + } |
| 109 | + |
| 110 | +privateinthelper(intl,intr) { |
| 111 | +if (l> r) { |
| 112 | +return l; |
| 113 | + } |
| 114 | +int m= l+ (r- l)/2; |
| 115 | +if (isBadVersion(m)) { |
| 116 | +return helper(l, m-1); |
| 117 | + }else { |
| 118 | +return helper(m+1, r); |
| 119 | + } |
| 120 | + } |
| 121 | +} |
| 122 | +``` |
| 123 | + |
| 124 | +```cpp |
| 125 | +// The API isBadVersion is defined for you. |
| 126 | +// bool isBadVersion(int version); |
| 127 | + |
| 128 | +classSolution { |
| 129 | +public: |
| 130 | + int firstBadVersion(int n) { |
| 131 | + return helper(1, n); |
| 132 | + } |
| 133 | + |
| 134 | +private: |
| 135 | + int helper(int l, int r) { |
| 136 | + if (l > r) { |
| 137 | + return l; |
| 138 | + } |
| 139 | + int m = l + (r - l) / 2; |
| 140 | + if (isBadVersion(m)) { |
| 141 | + return helper(l, m - 1); |
| 142 | + } else { |
| 143 | + return helper(m + 1, r); |
| 144 | + } |
| 145 | + } |
| 146 | +}; |
| 147 | +``` |
| 148 | +
|
| 149 | +```javascript |
| 150 | +// The isBadVersion API is already defined in the VersionControl class. |
| 151 | +// isBadVersion(version: number): boolean |
| 152 | +
|
| 153 | +class Solution extends VersionControl { |
| 154 | + /** |
| 155 | + * @param {number} n Total versions |
| 156 | + * @return {number} The first bad version |
| 157 | + */ |
| 158 | + firstBadVersion(n) { |
| 159 | + const helper = (l, r) => { |
| 160 | + if (l > r) { |
| 161 | + return l; |
| 162 | + } |
| 163 | + const m = Math.floor(l + (r - l) / 2); |
| 164 | + if (this.isBadVersion(m)) { |
| 165 | + return helper(l, m - 1); |
| 166 | + } else { |
| 167 | + return helper(m + 1, r); |
| 168 | + } |
| 169 | + }; |
| 170 | + return helper(1, n); |
| 171 | + } |
| 172 | +} |
| 173 | +``` |
| 174 | + |
| 175 | +::tabs-end |
| 176 | + |
| 177 | +###Time & Space Complexity |
| 178 | + |
| 179 | +* Time complexity: $O(\log n)$ |
| 180 | +* Space complexity: $O(\log n)$ for recursion stack. |
| 181 | + |
| 182 | +--- |
| 183 | + |
| 184 | +##3. Iterative Binary Search |
| 185 | + |
| 186 | +::tabs-start |
| 187 | + |
| 188 | +```python |
| 189 | +# The isBadVersion API is already defined for you. |
| 190 | +# def isBadVersion(version: int) -> bool: |
| 191 | + |
| 192 | +classSolution: |
| 193 | +deffirstBadVersion(self,n:int) ->int: |
| 194 | + l, r=1, n |
| 195 | + res=-1 |
| 196 | +while l<= r: |
| 197 | + m= l+ (r- l)//2 |
| 198 | +if isBadVersion(m): |
| 199 | + res= m |
| 200 | + r= m-1 |
| 201 | +else: |
| 202 | + l= m+1 |
| 203 | +return res |
| 204 | +``` |
| 205 | + |
| 206 | +```java |
| 207 | +/* The isBadVersion API is defined in the parent class VersionControl. |
| 208 | + boolean isBadVersion(int version);*/ |
| 209 | + |
| 210 | +publicclassSolutionextendsVersionControl { |
| 211 | +publicintfirstBadVersion(intn) { |
| 212 | +int l=1, r= n, res=-1; |
| 213 | +while (l<= r) { |
| 214 | +int m= l+ (r- l)/2; |
| 215 | +if (isBadVersion(m)) { |
| 216 | + res= m; |
| 217 | + r= m-1; |
| 218 | + }else { |
| 219 | + l= m+1; |
| 220 | + } |
| 221 | + } |
| 222 | +return res; |
| 223 | + } |
| 224 | +} |
| 225 | +``` |
| 226 | + |
| 227 | +```cpp |
| 228 | +// The API isBadVersion is defined for you. |
| 229 | +// bool isBadVersion(int version); |
| 230 | + |
| 231 | +classSolution { |
| 232 | +public: |
| 233 | + int firstBadVersion(int n) { |
| 234 | + int l = 1, r = n, res = -1; |
| 235 | + while (l <= r) { |
| 236 | + int m = l + (r - l) / 2; |
| 237 | + if (isBadVersion(m)) { |
| 238 | + res = m; |
| 239 | + r = m - 1; |
| 240 | + } else { |
| 241 | + l = m + 1; |
| 242 | + } |
| 243 | + } |
| 244 | + return res; |
| 245 | + } |
| 246 | +}; |
| 247 | +``` |
| 248 | +
|
| 249 | +```javascript |
| 250 | +// The isBadVersion API is already defined in the VersionControl class. |
| 251 | +// isBadVersion(version: number): boolean |
| 252 | +
|
| 253 | +class Solution extends VersionControl { |
| 254 | + /** |
| 255 | + * @param {number} n Total versions |
| 256 | + * @return {number} The first bad version |
| 257 | + */ |
| 258 | + firstBadVersion(n) { |
| 259 | + let l = 1, r = n, res = -1; |
| 260 | + while (l <= r) { |
| 261 | + const m = Math.floor(l + (r - l) / 2); |
| 262 | + if (this.isBadVersion(m)) { |
| 263 | + res = m; |
| 264 | + r = m - 1; |
| 265 | + } else { |
| 266 | + l = m + 1; |
| 267 | + } |
| 268 | + } |
| 269 | + return res; |
| 270 | + } |
| 271 | +} |
| 272 | +``` |
| 273 | + |
| 274 | +::tabs-end |
| 275 | + |
| 276 | +###Time & Space Complexity |
| 277 | + |
| 278 | +* Time complexity: $O(\log n)$ |
| 279 | +* Space complexity: $O(1)$ |
| 280 | + |
| 281 | +--- |
| 282 | + |
| 283 | +##4. Iterative Binary Search (Lower Bound) |
| 284 | + |
| 285 | +::tabs-start |
| 286 | + |
| 287 | +```python |
| 288 | +# The isBadVersion API is already defined for you. |
| 289 | +# def isBadVersion(version: int) -> bool: |
| 290 | + |
| 291 | +classSolution: |
| 292 | +deffirstBadVersion(self,n:int) ->int: |
| 293 | + l, r=1, n |
| 294 | +while l< r: |
| 295 | + m= l+ (r- l)//2 |
| 296 | +if isBadVersion(m): |
| 297 | + r= m |
| 298 | +else: |
| 299 | + l= m+1 |
| 300 | +return l |
| 301 | +``` |
| 302 | + |
| 303 | +```java |
| 304 | +/* The isBadVersion API is defined in the parent class VersionControl. |
| 305 | + boolean isBadVersion(int version);*/ |
| 306 | + |
| 307 | +publicclassSolutionextendsVersionControl { |
| 308 | +publicintfirstBadVersion(intn) { |
| 309 | +int l=1, r= n; |
| 310 | +while (l< r) { |
| 311 | +int m= l+ (r- l)/2; |
| 312 | +if (isBadVersion(m)) { |
| 313 | + r= m; |
| 314 | + }else { |
| 315 | + l= m+1; |
| 316 | + } |
| 317 | + } |
| 318 | +return r; |
| 319 | + } |
| 320 | +} |
| 321 | +``` |
| 322 | + |
| 323 | +```cpp |
| 324 | +// The API isBadVersion is defined for you. |
| 325 | +// bool isBadVersion(int version); |
| 326 | + |
| 327 | +classSolution { |
| 328 | +public: |
| 329 | + int firstBadVersion(int n) { |
| 330 | + int l = 1, r = n; |
| 331 | + while (l < r) { |
| 332 | + int m = l + (r - l) / 2; |
| 333 | + if (isBadVersion(m)) { |
| 334 | + r = m; |
| 335 | + } else { |
| 336 | + l = m + 1; |
| 337 | + } |
| 338 | + } |
| 339 | + return r; |
| 340 | + } |
| 341 | +}; |
| 342 | +``` |
| 343 | +
|
| 344 | +```javascript |
| 345 | +// The isBadVersion API is already defined in the VersionControl class. |
| 346 | +// isBadVersion(version: number): boolean |
| 347 | +
|
| 348 | +class Solution extends VersionControl { |
| 349 | + /** |
| 350 | + * @param {number} n Total versions |
| 351 | + * @return {number} The first bad version |
| 352 | + */ |
| 353 | + firstBadVersion(n) { |
| 354 | + let l = 1, r = n; |
| 355 | + while (l < r) { |
| 356 | + const m = Math.floor(l + (r - l) / 2); |
| 357 | + if (this.isBadVersion(m)) { |
| 358 | + r = m; |
| 359 | + } else { |
| 360 | + l = m + 1; |
| 361 | + } |
| 362 | + } |
| 363 | + return r; |
| 364 | + } |
| 365 | +} |
| 366 | +``` |
| 367 | + |
| 368 | +::tabs-end |
| 369 | + |
| 370 | +###Time & Space Complexity |
| 371 | + |
| 372 | +* Time complexity: $O(\log n)$ |
| 373 | +* Space complexity: $O(1)$ |