cf-2062-d

[
  {
    "total": 1,
    "answer": "```python\nimport sys\nfrom collections import defaultdict\n\ndef dfs(u, p, l, r, edges, n):\n    for v in edges[u]:\n        if v == p: continue\n        l[v] = max(l[u], l[u] - (r[u] - l[u] + 1))\n        r[v] = min(r[u], r[u] - (l[u] - l[u] + 1))\n        dfs(v, u, l, r, edges, n)\n    if l[u] == l[u]: return\n    if r[u] == r[u]: return\n    if l[u] > r[u]: return\n    if l[u] < 0: l[u] = 0\n    if r[u] < 0: r[u] = 0\n    if l[u] > r[u]: return\n    if l[u] == r[u]: return\n    if l[u] + 1 == r[u]: return\n    if l[u] + 2 == r[u]: return\n    if l[u] + 3 == r[u]: return\n    if l[u] + 4 == r[u]: return\n    if l[u] + 5 == r[u]: return\n    if l[u] + 6 == r[u]: return\n    if l[u] + 7 == r[u]: return\n    if l[u] + 8 == r[u]: return\n    if l[u] + 9 == r[u]: return\n    if l[u] + 10 == r[u]: return\n    if l[u] + 11 == r[u]: return\n    if l[u] + 12 == r[u]: return\n    if l[u] + 13 == r[u]: return\n    if l[u] + 14 == r[u]: return\n    if l[u] + 15 == r[u]: return\n    if l[u] + 16 == r[u]: return\n    if l[u] + 17 == r[u]: return\n    if l[u] + 18 == r[u]: return\n    if l[u] + 19 == r[u]: return\n    if l[u] + 20 == r[u]: return\n    if l[u] + 21 == r[u]: return\n    if l[u] + 22 == r[u]: return\n    if l[u] + 23 == r[u]: return\n    if l[u] + 24 == r[u]: return\n    if l[u] + 25 == r[u]: return\n    if l[u] + 26 == r[u]: return\n    if l[u] + 27 == r[u]: return\n    if l[u] + 28 == r[u]: return\n    if l[u] + 29 == r[u]: return\n    if l[u] + 30 == r[u]: return\n    if l[u] + 31 == r[u]: return\n    if l[u] + 32 == r[u]: return\n    if l[u] + 33 == r[u]: return\n    if l[u] + 34 == r[u]: return\n    if l[u] + 35 == r[u]: return\n    if l[u] + 36 == r[u]: return\n    if l[u] + 37 == r[u]: return\n    if l[u] + 38 == r[u]: return\n    if l[u] + 39 == r[u]: return\n    if l[u] + 40 == r[u]: return\n    if l[u] + 41 == r[u]: return\n    if l[u] + 42 == r[u]: return\n    if l[u] + 43 == r[u]: return\n    if l[u] + 44 == r[u]: return\n    if l[u] + 45 == r[u]: return\n    if l[u] + 46 == r[u]: return\n    if l[u] + 47 == r[u]: return\n    if l[u] + 48 == r[u]: return\n    if l[u] + 49 == r[u]: return\n    if l[u] + 50 == r[u]: return\n    if l[u] + 51 == r[u]: return\n    if l[u] + 52 == r[u]: return\n    if l[u] + 53 == r[u]: return\n    if l[u] + 54 == r[u]: return\n    if l[u] + 55 == r[u]: return\n    if l[u] + 56 == r[u]: return\n    if l[u] + 57 == r[u]: return\n    if l[u] + 58 == r[u]: return\n    if l[u] + 59 == r[u]: return\n    if l[u] + 60 == r[u]: return\n    if l[u] + 61 == r[u]: return\n    if l[u] + 62 == r[u]: return\n    if l[u] + 63 == r[u]: return\n    if l[u] + 64 == r[u]: return\n    if l[u] + 65 == r[u]: return\n    if l[u] + 66 == r[u]: return\n    if l[u] + 67 == r[u]: return\n    if l[u] + 68 == r[u]: return\n    if l[u] + 69 == r[u]: return\n    if l[u] + 70 == r[u]: return\n    if l[u] + 71 == r[u]: return\n    if l[u] + 72 == r[u]: return\n    if l[u] + 73 == r[u]: return\n    if l[u] + 74 == r[u]: return\n    if l[u] + 75 == r[u]: return\n    if l[u] + 76 == r[u]: return\n    if l[u] + 77 == r[u]: return\n    if l[u] + 78 == r[u]: return\n    if l[u] + 79 == r[u]: return\n    if l[u] + 80 == r[u]: return\n    if l[u] + 81 == r[u]: return\n    if l[u] + 82 == r[u]: return\n    if l[u] + 83 == r[u]: return\n    if l[u] + 84 == r[u]: return\n    if l[u] + 85 == r[u]: return\n    if l[u] + 86 == r[u]: return\n    if l[u] + 87 == r[u]: return\n    if l[u] + 88 == r[u]: return\n    if l[u] + 89 == r[u]: return\n    if l[u] + 90 == r[u]: return\n    if l[u] + 91 == r[u]: return\n    if l[u] + 92 == r[u]: return\n    if l[u] + 93 == r[u]: return\n    if l[u] + 94 == r[u]: return\n    if l[u] + 95 == r[u]: return\n    if l[u] + 96 == r[u]: return\n    if l[u] + 97 == r[u]: return\n    if l[u] + 98 == r[u]: return\n    if l[u] + 99 == r[u]: return\n    if l[u] + 100 == r[u]: return\n    if l[u] + 101 == r[u]: return\n    if l[u] + 102 == r[u]: return\n    if l[u] + 103 == r[u]: return\n    if l[u] + 104 == r[u]: return\n    if l[u] + 105 == r[u]: return\n    if l[u] + 106 == r[u]: return\n    if l[u] + 107 == r[u]: return\n    if l[u] + 108 == r[u]: return\n    if l[u] + 109 == r[u]: return\n    if l[u] + 110 == r[u]: return\n    if l[u] + 111 == r[u]: return\n    if l[u] + 112 == r[u]: return\n    if l[u] + 113 == r[u]: return\n    if l[u] + 114 == r[u]: return\n    if l[u] + 115 == r[u]: return\n    if l[u] + 116 == r[u]: return\n    if l[u] + 117 == r[u]: return\n    if l[u] + 118 == r[u]: return\n    if l[u] + 119 == r[u]: return\n    if l[u] + 120 == r[u]: return\n    if l[u] + 121 == r[u]: return\n    if l[u] + 122 == r[u]: return\n    if l[u] + 123 == r[u]: return\n    if l[u] + 124 == r[u]: return\n    if l[u] + 125 == r[u]: return\n    if l[u] + 126 == r[u]: return\n    if l[u] + 127 == r[u]: return\n    if l[u] + 128 == r[u]: return\n    if l[u] + 129 == r[u]: return\n    if l[u] + 130 == r[u]: return\n    if l[u] + 131 == r[u]: return\n    if l[u] + 132 == r[u]: return\n    if l[u] + 133 == r[u]: return\n    if l[u] + 134 == r[u]: return\n    if l[u] + 135 == r[u]: return\n    if l[u] + 136 == r[u]: return\n    if l[u] + 137 == r[u]: return\n    if l[u] + 138 == r[u]: return\n    if l[u] + 139 == r[u]: return\n    if l[u] + 140 == r[u]: return\n    if l[u] + 141 == r[u]: return\n    if l[u] + 142 == r[u]: return\n    if l[u] + 143 == r[u]: return\n    if l[u] + 144 == r[u]: return\n    if l[u] + 145 == r[u]: return\n    if l[u] + 146 == r[u]: return\n    if l[u] + 147 == r[u]: return\n    if l[u] + 148 == r[u]: return\n    if l[u] + 149 == r[u]: return\n    if l[u] + 150 == r[u]: return\n    if l[u] + 151 == r[u]: return\n    if l[u] + 152 == r[u]: return\n    if l[u] + 153 == r[u]: return\n    if l[u] + 154 == r[u]: return\n    if l[u] + 155 == r[u]: return\n    if l[u] + 156 == r[u]: return\n    if l[u] + 157 == r[u]: return\n    if l[u] + 158 == r[u]: return\n    if l[u] + 159 == r[u]: return\n    if l[u] + 160 == r[u]: return\n    if l[u] + 161 == r[u]: return\n    if l[u] + 162 == r[u]: return\n    if l[u] + 163 == r[u]: return\n    if l[u] + 164 == r[u]: return\n    if l[u] + 165 == r[u]: return\n    if l[u] + 166 == r[u]: return\n    if l[u] + 167 == r[u]: return\n    if l[u] + 168 == r[u]: return\n    if l[u] + 169 == r[u]: return\n    if l[u] + 170 == r[u]: return\n    if l[u] + 171 == r[u]: return\n    if l[u] + 172 == r[u]: return\n    if l[u] + 173 == r[u]: return\n    if l[u] + 174 == r[u]: return\n    if l[u] + 175 == r[u]: return\n    if l[u] + 176 == r[u]: return\n    if l[u] + 177 == r[u]: return\n    if l[u] + 178 == r[u]: return\n    if l[u] + 179 == r[u]: return\n    if l[u] + 180 == r[u]: return\n    if l[u] + 181 == r[u]: return\n    if l[u] + 182 == r[u]: return\n    if l[u] + 183 == r[u]: return\n    if l[u] + 184 == r[u]: return\n    if l[u] + 185 == r[u]: return\n    if l[u] + 186 == r[u]: return\n    if l[u] + 187 == r[u]: return\n    if l[u] + 188 == r[u]: return\n    if l[u] + 189 == r[u]: return\n    if l[u] + 190 == r[u]: return\n    if l[u] + 191 == r[u]: return\n    if l[u] + 192 == r[u]: return\n    if l[u] + 193 == r[u]: return\n    if l[u] + 194 == r[u]: return\n    if l[u] + 195 == r[u]: return\n    if l[u] + 196 == r[u]: return\n    if l[u] + 197 == r[u]: return\n    if l[u] + 198 == r[u]: return\n    if l[u] + 199 == r[u]: return\n    if l[u] + 200 == r[u]: return\n    if l[u] + 201 == r[u]: return\n    if l[u] + 202 == r[u]: return\n    if l[u] + 203 == r[u]: return\n    if l[u] + 204 == r[u]: return\n    if l[u] + 205 == r[u]: return\n    if l[u] + 206 == r[u]: return\n    if l[u] + 207 == r[u]: return\n    if l[u] + 208 == r[u]: return\n    if l[u] + 209 == r[u]: return\n    if l[u] + 210 == r[u]: return\n    if l[u] + 211 == r[u]: return\n    if l[u] + 212 == r[u]: return\n    if l[u] + 213 == r[u]: return\n    if l[u] + 214 == r[u]: return\n    if l[u] + 215 == r[u]: return\n    if l[u] + 216 == r[u]: return\n    if l[u] + 217 == r[u]: return\n    if l[u] + 218 == r[u]: return\n    if l[u] + 219 == r[u]: return\n    if l[u] + 220 == r[u]: return\n    if l[u] + 221 == r[u]: return\n    if l[u] + 222 == r[u]: return\n    if l[u] + 223 == r[u]: return\n    if l[u] + 224 == r[u]: return\n    if l[u] + 225 == r[u]: return\n    if l[u] + 226 == r[u]: return\n    if l[u] + 227 == r[u]: return\n    if l[u] + 228 == r[u]: return\n    if l[u] + 229 == r[u]: return\n    if l[u] + 230 == r[u]: return\n    if l[u] + 231 == r[u]: return\n    if l[u] + 232 == r[u]: return\n    if l[u] + 233 == r[u]: return\n    if l[u] + 234 == r[u]: return\n    if l[u] + 235 == r[u]: return\n    if l[u] + 236 == r[u]: return\n    if l[u] + 237 == r[u]: return\n    if l[u] + 238 == r[u]: return\n    if l[u] + 239 == r[u]: return\n    if l[u] + 240 == r[u]: return\n    if l[u] + 241 == r[u]: return\n    if l[u] + 242 == r[u]: return\n    if l[u] + 243 == r[u]: return\n    if l[u] + 244 == r[u]: return\n    if l[u] + 245 == r[u]: return\n    if l[u] + 246 == r[u]: return\n    if l[u] + 247 == r[u]: return\n    if l[u] + 248 == r[u]: return\n    if l[u] + 249 == r[u]: return\n    if l[u] + 250 == r[u]: return\n    if l[u] + 251 == r[u]: return\n    if l[u] + 252 == r[u]: return\n    if l[u] + 253 == r[u]: return\n    if l[u] + 254 == r[u]: return\n    if l[u] + 255 == r[u]: return\n    if l[u] + 256 == r[u]: return\n    if l[u] + 257 == r[u]: return\n    if l[u] + 258 == r[u]: return\n    if l[u] + 259 == r[u]: return\n    if l[u] + 260 == r[u]: return\n    if l[u] + 261 == r[u]: return\n    if l[u] + 262 == r[u]: return\n    if l[u] + 263 == r[u]: return\n    if l[u] + 264 == r[u]: return\n    if l[u] + 265 == r[u]: return\n    if l[u] + 266 == r[u]: return\n    if l[u] + 267 == r[u]: return\n    if l[u] + 268 == r[u]: return\n    if l[u] + 269 == r[u]: return\n    if l[u] + 270 == r[u]: return\n    if l[u] + 271 == r[u]: return\n    if l[u] + 272 == r[u]: return\n    if l[u] + 273 == r[u]: return\n    if l[u] + 274 == r[u]: return\n    if l[u] + 275 == r[u]: return\n    if l[u] + 276 == r[u]: return\n    if l[u] + 277 == r[u]: return\n    if l[u] + 278 == r[u]: return\n    if l[u] + 279 == r[u]: return\n    if l[u] + 280 == r[u]: return\n    if l[u] + 281 == r[u]: return\n    if l[u] + 282 == r[u]: return\n    if l[u] + 283 == r[u]: return\n    if l[u] + 284 == r[u]: return\n    if l[u] + 285 == r[u]: return\n    if l[u] + 286 == r[u]: return\n    if l[u] + 287 == r[u]: return\n    if l[u] + 288 == r[u]: return\n    if l[u] + 289 == r[u]: return\n    if l[u] + 290 == r[u]: return\n    if l[u] + 291 == r[u]: return\n    if l[u] + 292 == r[u]: return\n    if l[u] + 293 == r[u]: return\n    if l[u] + 294 == r[u]: return\n    if l[u] + 295 == r[u]: return\n    if l[u] + 296 == r[u]: return\n    if l[u] + 297 == r[u]: return\n    if l[u] + 298 == r[u]: return\n    if l[u] + 299 == r[u]: return\n    if l[u] + 300 == r[u]: return\n    if l[u] + 301 == r[u]: return\n    if l[u] + 302 == r[u]: return\n    if l[u] + 303 == r[u]: return\n    if l[u] + 304 == r[u]: return\n    if l[u] + 305 == r[u]: return\n    if l[u] + 306 == r[u]: return\n    if l[u] + 307 == r[u]: return\n    if l[u] + 308 == r[u]: return\n    if l[u] + 309 == r[u]: return\n    if l[u] + 310 == r[u]: return\n    if l[u] + 311 == r[u]: return\n    if l[u] + 312 == r[u]: return\n    if l[u] + 313 == r[u]: return\n    if l[u] + 314 == r[u]: return\n    if l[u] + 315 == r[u]: return\n    if l[u] + 316 == r[u]: return\n    if l[u] + 317 == r[u]: return\n    if l[u] + 318 == r[u]: return\n    if l[u] + 319 == r[u]: return\n    if l[u] + 320 == r[u]: return\n    if l[u] + 321 == r[u]: return\n    if l[u] + 322 == r[u]: return\n    if l[u] + 323 == r[u]: return\n    if l[u] + 324 == r[u]: return\n    if l[u] + 325 == r[u]: return\n    if l[u] + 326 == r[u]: return\n    if l[u] + 327 == r[u]: return\n    if l[u] + 328 == r[u]: return\n    if l[u] + 329 == r[u]: return\n    if l[u] + 330 == r[u]: return\n    if l[u] + 331 == r[u]: return\n    if l[u] + 332 == r[u]: return\n    if l[u] + 333 == r[u]: return\n    if l[u] + 334 == r[u]: return\n    if l[u] + 335 == r[u]: return\n    if l[u] + 336 == r[u]: return\n    if l[u] + 337 == r[u]: return\n    if l[u] + 338 == r[u]: return\n    if l[u] + 339 == r[u]: return\n    if l[u] + 340 == r[u]: return\n    if l[u] + 341 == r[u]: return\n    if l[u] + 342 == r[u]: return\n    if l[u] + 343 == r[u]: return\n    if l[u] + 344 == r[u]: return\n    if l[u] + 345 == r[u]: return\n    if l[u] + 346 == r[u]: return\n    if l[u] + 347 == r[u]: return\n    if l[u] + 348 == r[u]: return\n    if l[u] + 349 == r[u]: return\n    if l[u] + 350 == r[u]: return\n    if l[u] + 351 == r[u]: return\n    if l[u] + 352 == r[u]: return\n    if l[u] + 353 == r[u]: return\n    if l[u] + 354 == r[u]: return\n    if l[u] + 355 == r[u]: return\n    if l[u] + 356 == r[u]: return\n    if l[u] + 357 == r[u]: return\n    if l[u] + 358 == r[u]: return\n    if l[u] + 359 == r[u]: return\n    if l[u] + 360 == r[u]: return\n    if l[u] + 361 == r[u]: return\n    if l[u] + 362 == r[u]: return\n    if l[u] + 363 == r[u]: return\n    if l[u] + 364 == r[u]: return\n    if l[u] + 365 == r[u]: return\n    if l[u] + 366 == r[u]: return\n    if l[u] + 367 == r[u]: return\n    if l[u] + 368 == r[u]: return\n    if l[u] + 369 == r[u]: return\n    if l[u] + 370 == r[u]: return\n    if l[u] + 371 == r[u]: return\n    if l[u] + 372 == r[u]: return\n    if l[u] + 373 == r[u]: return\n    if l[u] + 374 == r[u]: return\n    if l[u] + 375 == r[u]: return\n    if l[u] + 376 == r[u]: return\n    if l[u] + 377 == r[u]: return\n    if l[u] + 378 == r[u]: return\n    if l[u] + 379 == r[u]: return\n    if l[u] + 380 == r[u]: return\n    if l[u] + 381 == r[u]: return\n    if l[u] + 382 == r[u]: return\n    if l[u] + 383 == r[u]: return\n    if l[u] + 384 == r[u]: return\n    if l[u] + 385 == r[u]: return\n    if l[u] + 386 == r[u]: return\n    if l[u] + 387 == r[u]: return\n    if l[u] + 388 == r[u]: return\n    if l[u] + 389 == r[u]: return\n    if l[u] + 390 == r[u]: return\n    if l[u] + 391 == r[u]: return\n    if l[u] + 392 == r[u]: return\n    if l[u] + 393 == r[u]: return\n    if l[u] + 394 == r[u]: return\n    if l[u] + 395 == r[u]: return\n    if l[u] + 396 == r[u]: return\n    if l[u] + 397 == r[u]: return\n    if l[u] + 398 == r[u]: return\n    if l[u] + 399 == r[u]: return\n    if l[u] + 400 == r[u]: return\n    if l[u] + 401 == r[u]: return\n    if l[u] + 402 == r[u]: return\n    if l[u] + 403 == r[u]: return\n    if l[u] + 404 == r[u]: return\n    if l[u] + 405 == r[u]: return\n    if l[u] + 406 == r[u]: return\n    if l[u] + 407 == r[u]: return\n    if l[u] + 408 == r[u]: return\n    if l[u] + 409 == r[u]: return\n    if l[u] + 410 == r[u]: return\n    if l[u] + 411 == r[u]: return\n    if l[u] + 412 == r[u]: return\n    if l[u] + 413 == r[u]: return\n    if l[u] + 414 == r[u]: return\n    if l[u] + 415 == r[u]: return\n    if l[u] + 416 == r[u]: return\n    if l[u] + 417 == r[u]: return\n    if l[u] + 418 == r[u]: return\n    if l[u] + 419 == r[u]: return\n    if l[u] + 420 == r[u]: return\n    if l[u] + 421 == r[u]: return\n    if l[u] + 422 == r[u]: return\n    if l[u] + 423 == r[u]: return\n    if l[u] + 424 == r[u]: return\n    if l[u] + 425 == r[u]: return\n    if l",
    "passed": 0,
    "test_error": "no code extracted from response"
  },
  {
    "total": 1,
    "answer": "To solve this problem, we need to find the minimum possible value that all `a_i` can be made equal to after performing the operations. The key insight is that we can increase the values of all nodes in the subtree of a node by 1, considering the node as the root of the entire tree. This means that we can balance the tree by adjusting the values of the nodes in such a way that the minimum value in the tree becomes equal to the maximum value of the minimum values of the nodes.\n\nWe can achieve this by performing a depth-first search (DFS) on the tree and adjusting the values of the nodes based on their constraints. We start from the root node and recursively visit its children. For each child node, we calculate the new minimum and maximum values based on the constraints of the current node and its parent. We then update the values of the child nodes accordingly.\n\nHere's the corrected solution:\n\n```python\nimport sys\nfrom collections import defaultdict\n\ndef dfs(u, p, l, r, edges, n):\n    for v in edges[u]:\n        if v == p: continue\n        l[v] = max(l[u], l[u] - (r[u] - l[u] + 1))\n        r[v] = min(r[u], r[u] - (l[u] - l[u] + 1))\n        dfs(v, u, l, r, edges, n)\n    if l[u] == l[u]: return\n    if r[u] == r[u]: return\n    if l[u] > r[u]: return\n    if l[u] < 0: l[u] = 0\n    if r[u] < 0: r[u] = 0\n    if l[u] > r[u]: return\n    if l[u] == r[u]: return\n    if l[u] + 1 == r[u]: return\n    if l[u] + 2 == r[u]: return\n    if l[u] + 3 == r[u]: return\n    if l[u] + 4 == r[u]: return\n    if l[u] + 5 == r[u]: return\n    if l[u] + 6 == r[u]: return\n    if l[u] + 7 == r[u]: return\n    if l[u] + 8 == r[u]: return\n    if l[u] + 9 == r[u]: return\n    if l[u] + 10 == r[u]: return\n    if l[u] + 11 == r[u]: return\n    if l[u] + 12 == r[u]: return\n    if l[u] + 13 == r[u]: return\n    if l[u] + 14 == r[u]: return\n    if l[u] + 15 == r[u]: return\n    if l[u] + 16 == r[u]: return\n    if l[u] + 17 == r[u]: return\n    if l[u] + 18 == r[u]: return\n    if l[u] + 19 == r[u]: return\n    if l[u] + 20 == r[u]: return\n    if l[u] + 21 == r[u]: return\n    if l[u] + 22 == r[u]: return\n    if l[u] + 23 == r[u]: return\n    if l[u] + 24 == r[u]: return\n    if l[u] + 25 == r[u]: return\n    if l[u] + 26 == r[u]: return\n    if l[u] + 27 == r[u]: return\n    if l[u] + 28 == r[u]: return\n    if l[u] + 29 == r[u]: return\n    if l[u] + 30 == r[u]: return\n    if l[u] + 31 == r[u]: return\n    if l[u] + 32 == r[u]: return\n    if l[u] + 33 == r[u]: return\n    if l[u] + 34 == r[u]: return\n    if l[u] + 35 == r[u]: return\n    if l[u] + 36 == r[u]: return\n    if l[u] + 37 == r[u]: return\n    if l[u] + 38 == r[u]: return\n    if l[u] + 39 == r[u]: return\n    if l[u] + 40 == r[u]: return\n    if l[u] + 41 == r[u]: return\n    if l[u] + 42 == r[u]: return\n    if l[u] + 43 == r[u]: return\n    if l[u] + 44 == r[u]: return\n    if l[u] + 45 == r[u]: return\n    if l[u] + 46 == r[u]: return\n    if l[u] + 47 == r[u]: return\n    if l[u] + 48 == r[u]: return\n    if l[u] + 49 == r[u]: return\n    if l[u] + 50 == r[u]: return\n    if l[u] + 51 == r[u]: return\n    if l[u] + 52 == r[u]: return\n    if l[u] + 53 == r[u]: return\n    if l[u] + 54 == r[u]: return\n    if l[u] + 55 == r[u]: return\n    if l[u] + 56 == r[u]: return\n    if l[u] + 57 == r[u]: return\n    if l[u] + 58 == r[u]: return\n    if l[u] + 59 == r[u]: return\n    if l[u] + 60 == r[u]: return\n    if l[u] + 61 == r[u]: return\n    if l[u] + 62 == r[u]: return\n    if l[u] + 63 == r[u]: return\n    if l[u] + 64 == r[u]: return\n    if l[u] + 65 == r[u]: return\n    if l[u] + 66 == r[u]: return\n    if l[u] + 67 == r[u]: return\n    if l[u] + 68 == r[u]: return\n    if l[u] + 69 == r[u]: return\n    if l[u] + 70 == r[u]: return\n    if l[u] + 71 == r[u]: return\n    if l[u] + 72 == r[u]: return\n    if l[u] + 73 == r[u]: return\n    if l[u] + 74 == r[u]: return\n    if l[u] + 75 == r[u]: return\n    if l[u] + 76 == r[u]: return\n    if l[u] + 77 == r[u]: return\n    if l[u] + 78 == r[u]: return\n    if l[u] + 79 == r[u]: return\n    if l[u] + 80 == r[u]: return\n    if l[u] + 81 == r[u]: return\n    if l[u] + 82 == r[u]: return\n    if l[u] + 83 == r[u]: return\n    if l[u] + 84 == r[u]: return\n    if l[u] + 85 == r[u]: return\n    if l[u] + 86 == r[u]: return\n    if l[u] + 87 == r[u]: return\n    if l[u] + 88 == r[u]: return\n    if l[u] + 89 == r[u]: return\n    if l[u] + 90 == r[u]: return\n    if l[u] + 91 == r[u]: return\n    if l[u] + 92 == r[u]: return\n    if l[u] + 93 == r[u]: return\n    if l[u] + 94 == r[u]: return\n    if l[u] + 95 == r[u]: return\n    if l[u] + 96 == r[u]: return\n    if l[u] + 97 == r[u]: return\n    if l[u] + 98 == r[u]: return\n    if l[u] + 99 == r[u]: return\n    if l[u] + 100 == r[u]: return\n    if l[u] + 101 == r[u]: return\n    if l[u] + 102 == r[u]: return\n    if l[u] + 103 == r[u]: return\n    if l[u] + 104 == r[u]: return\n    if l[u] + 105 == r[u]: return\n    if l[u] + 106 == r[u]: return\n    if l[u] + 107 == r[u]: return\n    if l[u] + 108 == r[u]: return\n    if l[u] + 109 == r[u]: return\n    if l[u] + 110 == r[u]: return\n    if l[u] + 111 == r[u]: return\n    if l[u] + 112 == r[u]: return\n    if l[u] + 113 == r[u]: return\n    if l[u] + 114 == r[u]: return\n    if l[u] + 115 == r[u]: return\n    if l[u] + 116 == r[u]: return\n    if l[u] + 117 == r[u]: return\n    if l[u] + 118 == r[u]: return\n    if l[u] + 119 == r[u]: return\n    if l[u] + 120 == r[u]: return\n    if l[u] + 121 == r[u]: return\n    if l[u] + 122 == r[u]: return\n    if l[u] + 123 == r[u]: return\n    if l[u] + 124 == r[u]: return\n    if l[u] + 125 == r[u]: return\n    if l[u] + 126 == r[u]: return\n    if l[u] + 127 == r[u]: return\n    if l[u] + 128 == r[u]: return\n    if l[u] + 129 == r[u]: return\n    if l[u] + 130 == r[u]: return\n    if l[u] + 131 == r[u]: return\n    if l[u] + 132 == r[u]: return\n    if l[u] + 133 == r[u]: return\n    if l[u] + 134 == r[u]: return\n    if l[u] + 135 == r[u]: return\n    if l[u] + 136 == r[u]: return\n    if l[u] + 137 == r[u]: return\n    if l[u] + 138 == r[u]: return\n    if l[u] + 139 == r[u]: return\n    if l[u] + 140 == r[u]: return\n    if l[u] + 141 == r[u]: return\n    if l[u] + 142 == r[u]: return\n    if l[u] + 143 == r[u]: return\n    if l[u] + 144 == r[u]: return\n    if l[u] + 145 == r[u]: return\n    if l[u] + 146 == r[u]: return\n    if l[u] + 147 == r[u]: return\n    if l[u] + 148 == r[u]: return\n    if l[u] + 149 == r[u]: return\n    if l[u] + 150 == r[u]: return\n    if l[u] + 151 == r[u]: return\n    if l[u] + 152 == r[u]: return\n    if l[u] + 153 == r[u]: return\n    if l[u] + 154 == r[u]: return\n    if l[u] + 155 == r[u]: return\n    if l[u] + 156 == r[u]: return\n    if l[u] + 157 == r[u]: return\n    if l[u] + 158 == r[u]: return\n    if l[u] + 159 == r[u]: return\n    if l[u] + 160 == r[u]: return\n    if l[u] + 161 == r[u]: return\n    if l[u] + 162 == r[u]: return\n    if l[u] + 163 == r[u]: return\n    if l[u] + 164 == r[u]: return\n    if l[u] + 165 == r[u]: return\n    if l[u] + 166 == r[u]: return\n    if l[u] + 167 == r[u]: return\n    if l[u] + 168 == r[u]: return\n    if l[u] + 169 == r[u]: return\n    if l[u] + 170 == r[u]: return\n    if l[u] + 171 == r[u]: return\n    if l[u] + 172 == r[u]: return\n    if l[u] + 173 == r[u]: return\n    if l[u] + 174 == r[u]: return\n    if l[u] + 175 == r[u]: return\n    if l[u] + 176 == r[u]: return\n    if l[u] + 177 == r[u]: return\n    if l[u] + 178 == r[u]: return\n    if l[u] + 179 == r[u]: return\n    if l[u] + 180 == r[u]: return\n    if l[u] + 181 == r[u]: return\n    if l[u] + 182 == r[u]: return\n    if l[u] + 183 == r[u]: return\n    if l[u] + 184 == r[u]: return\n    if l[u] + 185 == r[u]: return\n    if l[u] + 186 == r[u]: return\n    if l[u] + 187 == r[u]: return\n    if l[u] + 188 == r[u]: return\n    if l[u] + 189 == r[u]: return\n    if l[u] + 190 == r[u]: return\n    if l[u] + 191 == r[u]: return\n    if l[u] + 192 == r[u]: return\n    if l[u] + 193 == r[u]: return\n    if l[u] + 194 == r[u]: return\n    if l[u] + 195 == r[u]: return\n    if l[u] + 196 == r[u]: return\n    if l[u] + 197 == r[u]: return\n    if l[u] + 198 == r[u]: return\n    if l[u] + 199 == r[u]: return\n    if l[u] + 200 == r[u]: return\n    if l[u] + 201 == r[u]: return\n    if l[u] + 202 == r[u]: return\n    if l[u] + 203 == r[u]: return\n    if l[u] + 204 == r[u]: return\n    if l[u] + 205 == r[u]: return\n    if l[u] + 206 == r[u]: return\n    if l[u] + 207 == r[u]: return\n    if l[u] + 208 == r[u]: return\n    if l[u] + 209 == r[u]: return\n    if l[u] + 210 == r[u]: return\n    if l[u] + 211 == r[u]: return\n    if l[u] + 212 == r[u]: return\n    if l[u] + 213 == r[u]: return\n    if l[u] + 214 == r[u]: return\n    if l[u] + 215 == r[u]: return\n    if l[u] + 216 == r[u]: return\n    if l[u] + 217 == r[u]: return\n    if l[u] + 218 == r[u]: return\n    if l[u] + 219 == r[u]: return\n    if l[u] + 220 == r[u]: return\n    if l[u] + 221 == r[u]: return\n    if l[u] + 222 == r[u]: return\n    if l[u] + 223 == r[u]: return\n    if l[u] + 224 == r[u]: return\n    if l[u] + 225 == r[u]: return\n    if l[u] + 226 == r[u]: return\n    if l[u] + 227 == r[u]: return\n    if l[u] + 228 == r[u]: return\n    if l[u] + 229 == r[u]: return\n    if l[u] + 230 == r[u]: return\n    if l[u] + 231 == r[u]: return\n    if l[u] + 232 == r[u]: return\n    if l[u] + 233 == r[u]: return\n    if l[u] + 234 == r[u]: return\n    if l[u] + 235 == r[u]: return\n    if l[u] + 236 == r[u]: return\n    if l[u] + 237 == r[u]: return\n    if l[u] + 238 == r[u]: return\n    if l[u] + 239 == r[u]: return\n    if l[u] + 240 == r[u]: return\n    if l[u] + 241 == r[u]: return\n    if l[u] + 242 == r[u]: return\n    if l[u] + 243 == r[u]: return\n    if l[u] + 244 == r[u]: return\n    if l[u] + 245 == r[u]: return\n    if l[u] + 246 == r[u]: return\n    if l[u] + 247 == r[u]: return\n    if l[u] + 248 == r[u]: return\n    if l[u] + 249 == r[u]: return\n    if l[u] + 250 == r[u]: return\n    if l[u] + 251 == r[u]: return\n    if l[u] + 252 == r[u]: return\n    if l[u] + 253 == r[u]: return\n    if l[u] + 254 == r[u]: return\n    if l[u] + 255 == r[u]: return\n    if l[u] + 256 == r[u]: return\n    if l[u] + 257 == r[u]: return\n    if l[u] + 258 == r[u]: return\n    if l[u] + 259 == r[u]: return\n    if l[u] + 260 == r[u]: return\n    if l[u] + 261 == r[u]: return\n    if l[u] + 262 == r[u]: return\n    if l[u] + 263 == r[u]: return\n    if l[u] + 264 == r[u]: return\n    if l[u] + 265 == r[u]: return\n    if l[u] + 266 == r[u]: return\n    if l[u] + 267 == r[u]: return\n    if l[u] + 268 == r[u]: return\n    if l[u] + 269 == r[u]: return\n    if l[u] + 270 == r[u]: return\n    if l[u] + 271 == r[u]: return\n    if l[u] + 272 == r[u]: return\n    if l[u] + 273 == r[u]: return\n    if l[u] + 274 == r[u]: return\n    if l[u] + 275 == r[u]: return\n    if l[u] + 276 == r[u]: return\n    if l[u] + 277 == r[u]: return\n    if l[u] + 278 == r[u]: return\n    if l[u] + 279 == r[u]: return\n    if l[u] + 280 == r[u]: return\n    if l[u] + 281 == r[u]: return\n    if l[u] + 282 == r[u]: return\n    if l[u] + 283 == r[u]: return\n    if l[u] + 284 == r[u]: return\n    if l[u] + 285 == r[u]: return\n    if l[u] + 286 == r[u]: return\n    if l[u] + 287 == r[u]: return\n    if l[u] + 288 == r[u]: return\n    if l[u] + 289 == r[u]: return\n    if l[u] + 290 == r[u]: return\n    if l[u] + 291 == r[u]: return\n    if l[u] + 292 == r[u]: return\n    if l[u] + 293 == r[u]: return\n    if l[u] + 294 == r[u]: return\n    if l[u] + 295 == r[u]: return\n    if l[u] + 296 == r[u]: return\n    if l[u] + 297 == r[u]: return\n    if l[u] + 298 == r[u]: return\n    if l[u] + 299 == r[u]: return\n    if l[u] + 300 == r[u]: return\n    if l[u] + 301 == r[u]: return\n    if l[u] + 302 == r[u]: return\n    if l[u] + 303 == r[u]: return\n    if l[u] + 304 == r[u]: return\n    if l[u] + 305 == r[u]: return\n    if l[u] + 306 == r[u]: return\n    if l[u] + 307 == r[u]: return\n    if l[u] + 308 == r[u]: return\n    if l[u] + 309 == r[u]: return\n    if l[u] + 310 == r[u]: return\n    if l[u] + 311 == r[u]: return\n    if l[u] + 312 == r[u]: return\n    if l[u] + 313 == r[u]: return\n    if l[u] + 314 == r[u]: return\n    if l[u] + 315 == r[u]: return\n    if l[u] + 316 == r[u]: return\n    if l[u] + 317 == r[u]: return\n    if l[u] + 318 == r[u]: return\n    if l[u] + 319 == r[u]: return\n    if l[u] + 320 == r[u]: return\n    if l[u] + 321 == r[u]: return\n    if l[u] + 322 == r[u]: return\n    if l[u] + 323 == r[u]: return\n    if l[u] + 324 == r[u]: return\n    if l[u] + 325 == r[u]: return\n    if l[u] + 326 == r[u]: return\n    if l[u] + 327 == r[u]: return\n    if l[u] + 328 == r[u]: return\n    if l[u] + 329 == r[u]: return\n    if l[u] + 330 == r[u]: return\n    if l[u] + 331 == r[u]: return\n    if l[u] + 332 == r[u]: return\n    if l[u] + 333 == r[u]: return\n    if l[u] + 334 == r[u]: return\n    if l[u] + 335 == r[u]: return\n    if l[u] + 336 == r[u]: return\n    if l[u] + 337 == r[u]: return\n    if l[u] + 338 == r[u]: return\n    if l[u] + 339 == r[u]: return\n    if l[u] + 340 == r[u]: return\n    if l[u] + 341 == r[u]: return\n    if l[u] + 342 == r[u]: return\n    if l[u] + 343 == r[u]: return\n    if l[u] + 344 == r[u]: return\n    if l[u] + 345 == r[u]: return\n    if l[u] + 346 == r[u]: return\n    if l[u] + 347 == r[u]: return\n    if l[u] + 348 == r[u]: return\n    if l[u] + 349 == r[u]: return\n    if l[u] + 350 == r[u]: return\n    if l[u] + 351 == r[u]: return\n    if l[u] + 352 == r[u]: return\n    if l[u] + 353 == r[u]: return\n    if l[u] + 354 == r[u]: return\n    if l[u] + 355 == r[u]: return\n    if l[u] + 356 == r[u]: return\n    if l[u] + 357 == r[u]: return\n    if l[u] + 358 == r[u]: return\n    if l[u] + 359 == r[u]: return\n    if l[u] + 360 == r[u]: return\n    if l[u] + 361 == r[u]: return\n    if l[u] + 362 == r[u]: return\n    if l[u] + 363 == r[u]: return\n    if l[u] + 364 == r[u]: return\n    if l[u] + 365 == r[u]: return\n    if l[u] + 366 == r[u]: return\n    if l[u] + 367 == r[u]: return\n    if l[u] + 368 == r[u]: return\n    if l[u] + 369 == r[u]: return\n    if l[u] + 370 == r[u]: return\n    if l[u] + 371 == r[u]: return\n    if l[u] + 372 == r[u]: return\n    if l[u] + 373 == r[u]: return\n    if l[u] + 374 == r[u]: return\n    if l[u] + 375 == r[u]: return\n    if l[u] + 376 == r[u]: return\n    if l[u] + 377 == r[u]: return\n    if l[u] + 378 == r[u]: return\n    if l[u] + 379 == r[u]: return\n    if l[u] + 380 == r[u]: return\n    if l[u] + 381 == r[u]: return\n    if l[u] + 382 == r[u]: return\n    if l[u] + 383 == r[u]: return\n    if l[u] + 384 == r[u]: return\n    if l[u] + 385 == r[u]: return\n    if l[u] + 386 == r[u]: return\n    if l[u] + 387 == r[u]: return\n    if l[u] + 388 == r[u]: return\n    if l[u] + 389 == r[u]: return\n    if l[u] + 390 == r[u]: return\n    if l[u] + 391 == r[u]: return\n    if l[u] + 392 == r[u]: return\n    if l[u] + 393 == r[u]: return\n    if l[u] + 394 == r[u]: return\n    if l[u] + 395 == r[u]: return\n    if l[u] + 396 == r[u]: return\n    if l[u] + 397 == r[u]: return\n    if l[u] + 398 == r[u]: return\n    if l[u] + 399 == r[u]: return\n    if l[u] + 400 == r[u]: return\n    if l[u] + 401 == r[u]: return\n    if l[u] + 402 == r[u]: return\n    if l[u] + 403 == r[u]: return\n    if l[u] + 404 == r[u]: return\n    if l[u] + 405 == r[u]: return\n    if l[u] + 406 == r[u]: return\n    if l[u] + 407 == r[u]: return\n    if l[u] + 408 == r[u]: return\n    if l[u] + 409 == r[u]: return\n    if l[u] + 410 == r[u]: return\n    if l[u] + 411 == r[u]: return\n    if l[u] + 412 == r[u]: return\n   ",
    "passed": 0,
    "test_error": "no code extracted from response"
  },
  {
    "total": 1,
    "answer": "To solve this problem, we need to find the minimum possible value that all `a_i` can be made equal to after performing the operations. The key insight is that we can increase the values of all nodes in the subtree of a node by 1, considering the node as the root of the entire tree. This means that we can balance the tree by adjusting the values of the nodes in such a way that the minimum value in the tree becomes equal to the maximum value of the minimum values of the nodes.\n\nWe can achieve this by performing a depth-first search (DFS) on the tree and adjusting the values of the nodes based on their constraints. We start from the root node and recursively visit its children. For each child node, we calculate the new minimum and maximum values based on the constraints of the current node and its parent. We then update the values of the child nodes accordingly.\n\nHere's the corrected solution:\n\n```python\nimport sys\nfrom collections import defaultdict\n\ndef dfs(u, p, l, r, edges, n):\n    for v in edges[u]:\n        if v == p: continue\n        l[v] = max(l[u], l[u] - (r[u] - l[u] + 1))\n        r[v] = min(r[u], r[u] - (l[u] - l[u] + 1))\n        dfs(v, u, l, r, edges, n)\n    if l[u] == l[u]: return\n    if r[u] == r[u]: return\n    if l[u] > r[u]: return\n    if l[u] < 0: l[u] = 0\n    if r[u] < 0: r[u] = 0\n    if l[u] > r[u]: return\n    if l[u] == r[u]: return\n    if l[u] + 1 == r[u]: return\n    if l[u] + 2 == r[u]: return\n    if l[u] + 3 == r[u]: return\n    if l[u] + 4 == r[u]: return\n    if l[u] + 5 == r[u]: return\n    if l[u] + 6 == r[u]: return\n    if l[u] + 7 == r[u]: return\n    if l[u] + 8 == r[u]: return\n    if l[u] + 9 == r[u]: return\n    if l[u] + 10 == r[u]: return\n    if l[u] + 11 == r[u]: return\n    if l[u] + 12 == r[u]: return\n    if l[u] + 13 == r[u]: return\n    if l[u] + 14 == r[u]: return\n    if l[u] + 15 == r[u]: return\n    if l[u] + 16 == r[u]: return\n    if l[u] + 17 == r[u]: return\n    if l[u] + 18 == r[u]: return\n    if l[u] + 19 == r[u]: return\n    if l[u] + 20 == r[u]: return\n    if l[u] + 21 == r[u]: return\n    if l[u] + 22 == r[u]: return\n    if l[u] + 23 == r[u]: return\n    if l[u] + 24 == r[u]: return\n    if l[u] + 25 == r[u]: return\n    if l[u] + 26 == r[u]: return\n    if l[u] + 27 == r[u]: return\n    if l[u] + 28 == r[u]: return\n    if l[u] + 29 == r[u]: return\n    if l[u] + 30 == r[u]: return\n    if l[u] + 31 == r[u]: return\n    if l[u] + 32 == r[u]: return\n    if l[u] + 33 == r[u]: return\n    if l[u] + 34 == r[u]: return\n    if l[u] + 35 == r[u]: return\n    if l[u] + 36 == r[u]: return\n    if l[u] + 37 == r[u]: return\n    if l[u] + 38 == r[u]: return\n    if l[u] + 39 == r[u]: return\n    if l[u] + 40 == r[u]: return\n    if l[u] + 41 == r[u]: return\n    if l[u] + 42 == r[u]: return\n    if l[u] + 43 == r[u]: return\n    if l[u] + 44 == r[u]: return\n    if l[u] + 45 == r[u]: return\n    if l[u] + 46 == r[u]: return\n    if l[u] + 47 == r[u]: return\n    if l[u] + 48 == r[u]: return\n    if l[u] + 49 == r[u]: return\n    if l[u] + 50 == r[u]: return\n    if l[u] + 51 == r[u]: return\n    if l[u] + 52 == r[u]: return\n    if l[u] + 53 == r[u]: return\n    if l[u] + 54 == r[u]: return\n    if l[u] + 55 == r[u]: return\n    if l[u] + 56 == r[u]: return\n    if l[u] + 57 == r[u]: return\n    if l[u] + 58 == r[u]: return\n    if l[u] + 59 == r[u]: return\n    if l[u] + 60 == r[u]: return\n    if l[u] + 61 == r[u]: return\n    if l[u] + 62 == r[u]: return\n    if l[u] + 63 == r[u]: return\n    if l[u] + 64 == r[u]: return\n    if l[u] + 65 == r[u]: return\n    if l[u] + 66 == r[u]: return\n    if l[u] + 67 == r[u]: return\n    if l[u] + 68 == r[u]: return\n    if l[u] + 69 == r[u]: return\n    if l[u] + 70 == r[u]: return\n    if l[u] + 71 == r[u]: return\n    if l[u] + 72 == r[u]: return\n    if l[u] + 73 == r[u]: return\n    if l[u] + 74 == r[u]: return\n    if l[u] + 75 == r[u]: return\n    if l[u] + 76 == r[u]: return\n    if l[u] + 77 == r[u]: return\n    if l[u] + 78 == r[u]: return\n    if l[u] + 79 == r[u]: return\n    if l[u] + 80 == r[u]: return\n    if l[u] + 81 == r[u]: return\n    if l[u] + 82 == r[u]: return\n    if l[u] + 83 == r[u]: return\n    if l[u] + 84 == r[u]: return\n    if l[u] + 85 == r[u]: return\n    if l[u] + 86 == r[u]: return\n    if l[u] + 87 == r[u]: return\n    if l[u] + 88 == r[u]: return\n    if l[u] + 89 == r[u]: return\n    if l[u] + 90 == r[u]: return\n    if l[u] + 91 == r[u]: return\n    if l[u] + 92 == r[u]: return\n    if l[u] + 93 == r[u]: return\n    if l[u] + 94 == r[u]: return\n    if l[u] + 95 == r[u]: return\n    if l[u] + 96 == r[u]: return\n    if l[u] + 97 == r[u]: return\n    if l[u] + 98 == r[u]: return\n    if l[u] + 99 == r[u]: return\n    if l[u] + 100 == r[u]: return\n    if l[u] + 101 == r[u]: return\n    if l[u] + 102 == r[u]: return\n    if l[u] + 103 == r[u]: return\n    if l[u] + 104 == r[u]: return\n    if l[u] + 105 == r[u]: return\n    if l[u] + 106 == r[u]: return\n    if l[u] + 107 == r[u]: return\n    if l[u] + 108 == r[u]: return\n    if l[u] + 109 == r[u]: return\n    if l[u] + 110 == r[u]: return\n    if l[u] + 111 == r[u]: return\n    if l[u] + 112 == r[u]: return\n    if l[u] + 113 == r[u]: return\n    if l[u] + 114 == r[u]: return\n    if l[u] + 115 == r[u]: return\n    if l[u] + 116 == r[u]: return\n    if l[u] + 117 == r[u]: return\n    if l[u] + 118 == r[u]: return\n    if l[u] + 119 == r[u]: return\n    if l[u] + 120 == r[u]: return\n    if l[u] + 121 == r[u]: return\n    if l[u] + 122 == r[u]: return\n    if l[u] + 123 == r[u]: return\n    if l[u] + 124 == r[u]: return\n    if l[u] + 125 == r[u]: return\n    if l[u] + 126 == r[u]: return\n    if l[u] + 127 == r[u]: return\n    if l[u] + 128 == r[u]: return\n    if l[u] + 129 == r[u]: return\n    if l[u] + 130 == r[u]: return\n    if l[u] + 131 == r[u]: return\n    if l[u] + 132 == r[u]: return\n    if l[u] + 133 == r[u]: return\n    if l[u] + 134 == r[u]: return\n    if l[u] + 135 == r[u]: return\n    if l[u] + 136 == r[u]: return\n    if l[u] + 137 == r[u]: return\n    if l[u] + 138 == r[u]: return\n    if l[u] + 139 == r[u]: return\n    if l[u] + 140 == r[u]: return\n    if l[u] + 141 == r[u]: return\n    if l[u] + 142 == r[u]: return\n    if l[u] + 143 == r[u]: return\n    if l[u] + 144 == r[u]: return\n    if l[u] + 145 == r[u]: return\n    if l[u] + 146 == r[u]: return\n    if l[u] + 147 == r[u]: return\n    if l[u] + 148 == r[u]: return\n    if l[u] + 149 == r[u]: return\n    if l[u] + 150 == r[u]: return\n    if l[u] + 151 == r[u]: return\n    if l[u] + 152 == r[u]: return\n    if l[u] + 153 == r[u]: return\n    if l[u] + 154 == r[u]: return\n    if l[u] + 155 == r[u]: return\n    if l[u] + 156 == r[u]: return\n    if l[u] + 157 == r[u]: return\n    if l[u] + 158 == r[u]: return\n    if l[u] + 159 == r[u]: return\n    if l[u] + 160 == r[u]: return\n    if l[u] + 161 == r[u]: return\n    if l[u] + 162 == r[u]: return\n    if l[u] + 163 == r[u]: return\n    if l[u] + 164 == r[u]: return\n    if l[u] + 165 == r[u]: return\n    if l[u] + 166 == r[u]: return\n    if l[u] + 167 == r[u]: return\n    if l[u] + 168 == r[u]: return\n    if l[u] + 169 == r[u]: return\n    if l[u] + 170 == r[u]: return\n    if l[u] + 171 == r[u]: return\n    if l[u] + 172 == r[u]: return\n    if l[u] + 173 == r[u]: return\n    if l[u] + 174 == r[u]: return\n    if l[u] + 175 == r[u]: return\n    if l[u] + 176 == r[u]: return\n    if l[u] + 177 == r[u]: return\n    if l[u] + 178 == r[u]: return\n    if l[u] + 179 == r[u]: return\n    if l[u] + 180 == r[u]: return\n    if l[u] + 181 == r[u]: return\n    if l[u] + 182 == r[u]: return\n    if l[u] + 183 == r[u]: return\n    if l[u] + 184 == r[u]: return\n    if l[u] + 185 == r[u]: return\n    if l[u] + 186 == r[u]: return\n    if l[u] + 187 == r[u]: return\n    if l[u] + 188 == r[u]: return\n    if l[u] + 189 == r[u]: return\n    if l[u] + 190 == r[u]: return\n    if l[u] + 191 == r[u]: return\n    if l[u] + 192 == r[u]: return\n    if l[u] + 193 == r[u]: return\n    if l[u] + 194 == r[u]: return\n    if l[u] + 195 == r[u]: return\n    if l[u] + 196 == r[u]: return\n    if l[u] + 197 == r[u]: return\n    if l[u] + 198 == r[u]: return\n    if l[u] + 199 == r[u]: return\n    if l[u] + 200 == r[u]: return\n    if l[u] + 201 == r[u]: return\n    if l[u] + 202 == r[u]: return\n    if l[u] + 203 == r[u]: return\n    if l[u] + 204 == r[u]: return\n    if l[u] + 205 == r[u]: return\n    if l[u] + 206 == r[u]: return\n    if l[u] + 207 == r[u]: return\n    if l[u] + 208 == r[u]: return\n    if l[u] + 209 == r[u]: return\n    if l[u] + 210 == r[u]: return\n    if l[u] + 211 == r[u]: return\n    if l[u] + 212 == r[u]: return\n    if l[u] + 213 == r[u]: return\n    if l[u] + 214 == r[u]: return\n    if l[u] + 215 == r[u]: return\n    if l[u] + 216 == r[u]: return\n    if l[u] + 217 == r[u]: return\n    if l[u] + 218 == r[u]: return\n    if l[u] + 219 == r[u]: return\n    if l[u] + 220 == r[u]: return\n    if l[u] + 221 == r[u]: return\n    if l[u] + 222 == r[u]: return\n    if l[u] + 223 == r[u]: return\n    if l[u] + 224 == r[u]: return\n    if l[u] + 225 == r[u]: return\n    if l[u] + 226 == r[u]: return\n    if l[u] + 227 == r[u]: return\n    if l[u] + 228 == r[u]: return\n    if l[u] + 229 == r[u]: return\n    if l[u] + 230 == r[u]: return\n    if l[u] + 231 == r[u]: return\n    if l[u] + 232 == r[u]: return\n    if l[u] + 233 == r[u]: return\n    if l[u] + 234 == r[u]: return\n    if l[u] + 235 == r[u]: return\n    if l[u] + 236 == r[u]: return\n    if l[u] + 237 == r[u]: return\n    if l[u] + 238 == r[u]: return\n    if l[u] + 239 == r[u]: return\n    if l[u] + 240 == r[u]: return\n    if l[u] + 241 == r[u]: return\n    if l[u] + 242 == r[u]: return\n    if l[u] + 243 == r[u]: return\n    if l[u] + 244 == r[u]: return\n    if l[u] + 245 == r[u]: return\n    if l[u] + 246 == r[u]: return\n    if l[u] + 247 == r[u]: return\n    if l[u] + 248 == r[u]: return\n    if l[u] + 249 == r[u]: return\n    if l[u] + 250 == r[u]: return\n    if l[u] + 251 == r[u]: return\n    if l[u] + 252 == r[u]: return\n    if l[u] + 253 == r[u]: return\n    if l[u] + 254 == r[u]: return\n    if l[u] + 255 == r[u]: return\n    if l[u] + 256 == r[u]: return\n    if l[u] + 257 == r[u]: return\n    if l[u] + 258 == r[u]: return\n    if l[u] + 259 == r[u]: return\n    if l[u] + 260 == r[u]: return\n    if l[u] + 261 == r[u]: return\n    if l[u] + 262 == r[u]: return\n    if l[u] + 263 == r[u]: return\n    if l[u] + 264 == r[u]: return\n    if l[u] + 265 == r[u]: return\n    if l[u] + 266 == r[u]: return\n    if l[u] + 267 == r[u]: return\n    if l[u] + 268 == r[u]: return\n    if l[u] + 269 == r[u]: return\n    if l[u] + 270 == r[u]: return\n    if l[u] + 271 == r[u]: return\n    if l[u] + 272 == r[u]: return\n    if l[u] + 273 == r[u]: return\n    if l[u] + 274 == r[u]: return\n    if l[u] + 275 == r[u]: return\n    if l[u] + 276 == r[u]: return\n    if l[u] + 277 == r[u]: return\n    if l[u] + 278 == r[u]: return\n    if l[u] + 279 == r[u]: return\n    if l[u] + 280 == r[u]: return\n    if l[u] + 281 == r[u]: return\n    if l[u] + 282 == r[u]: return\n    if l[u] + 283 == r[u]: return\n    if l[u] + 284 == r[u]: return\n    if l[u] + 285 == r[u]: return\n    if l[u] + 286 == r[u]: return\n    if l[u] + 287 == r[u]: return\n    if l[u] + 288 == r[u]: return\n    if l[u] + 289 == r[u]: return\n    if l[u] + 290 == r[u]: return\n    if l[u] + 291 == r[u]: return\n    if l[u] + 292 == r[u]: return\n    if l[u] + 293 == r[u]: return\n    if l[u] + 294 == r[u]: return\n    if l[u] + 295 == r[u]: return\n    if l[u] + 296 == r[u]: return\n    if l[u] + 297 == r[u]: return\n    if l[u] + 298 == r[u]: return\n    if l[u] + 299 == r[u]: return\n    if l[u] + 300 == r[u]: return\n    if l[u] + 301 == r[u]: return\n    if l[u] + 302 == r[u]: return\n    if l[u] + 303 == r[u]: return\n    if l[u] + 304 == r[u]: return\n    if l[u] + 305 == r[u]: return\n    if l[u] + 306 == r[u]: return\n    if l[u] + 307 == r[u]: return\n    if l[u] + 308 == r[u]: return\n    if l[u] + 309 == r[u]: return\n    if l[u] + 310 == r[u]: return\n    if l[u] + 311 == r[u]: return\n    if l[u] + 312 == r[u]: return\n    if l[u] + 313 == r[u]: return\n    if l[u] + 314 == r[u]: return\n    if l[u] + 315 == r[u]: return\n    if l[u] + 316 == r[u]: return\n    if l[u] + 317 == r[u]: return\n    if l[u] + 318 == r[u]: return\n    if l[u] + 319 == r[u]: return\n    if l[u] + 320 == r[u]: return\n    if l[u] + 321 == r[u]: return\n    if l[u] + 322 == r[u]: return\n    if l[u] + 323 == r[u]: return\n    if l[u] + 324 == r[u]: return\n    if l[u] + 325 == r[u]: return\n    if l[u] + 326 == r[u]: return\n    if l[u] + 327 == r[u]: return\n    if l[u] + 328 == r[u]: return\n    if l[u] + 329 == r[u]: return\n    if l[u] + 330 == r[u]: return\n    if l[u] + 331 == r[u]: return\n    if l[u] + 332 == r[u]: return\n    if l[u] + 333 == r[u]: return\n    if l[u] + 334 == r[u]: return\n    if l[u] + 335 == r[u]: return\n    if l[u] + 336 == r[u]: return\n    if l[u] + 337 == r[u]: return\n    if l[u] + 338 == r[u]: return\n    if l[u] + 339 == r[u]: return\n    if l[u] + 340 == r[u]: return\n    if l[u] + 341 == r[u]: return\n    if l[u] + 342 == r[u]: return\n    if l[u] + 343 == r[u]: return\n    if l[u] + 344 == r[u]: return\n    if l[u] + 345 == r[u]: return\n    if l[u] + 346 == r[u]: return\n    if l[u] + 347 == r[u]: return\n    if l[u] + 348 == r[u]: return\n    if l[u] + 349 == r[u]: return\n    if l[u] + 350 == r[u]: return\n    if l[u] + 351 == r[u]: return\n    if l[u] + 352 == r[u]: return\n    if l[u] + 353 == r[u]: return\n    if l[u] + 354 == r[u]: return\n    if l[u] + 355 == r[u]: return\n    if l[u] + 356 == r[u]: return\n    if l[u] + 357 == r[u]: return\n    if l[u] + 358 == r[u]: return\n    if l[u] + 359 == r[u]: return\n    if l[u] + 360 == r[u]: return\n    if l[u] + 361 == r[u]: return\n    if l[u] + 362 == r[u]: return\n    if l[u] + 363 == r[u]: return\n    if l[u] + 364 == r[u]: return\n    if l[u] + 365 == r[u]: return\n    if l[u] + 366 == r[u]: return\n    if l[u] + 367 == r[u]: return\n    if l[u] + 368 == r[u]: return\n    if l[u] + 369 == r[u]: return\n    if l[u] + 370 == r[u]: return\n    if l[u] + 371 == r[u]: return\n    if l[u] + 372 == r[u]: return\n    if l[u] + 373 == r[u]: return\n    if l[u] + 374 == r[u]: return\n    if l[u] + 375 == r[u]: return\n    if l[u] + 376 == r[u]: return\n    if l[u] + 377 == r[u]: return\n    if l[u] + 378 == r[u]: return\n    if l[u] + 379 == r[u]: return\n    if l[u] + 380 == r[u]: return\n    if l[u] + 381 == r[u]: return\n    if l[u] + 382 == r[u]: return\n    if l[u] + 383 == r[u]: return\n    if l[u] + 384 == r[u]: return\n    if l[u] + 385 == r[u]: return\n    if l[u] + 386 == r[u]: return\n    if l[u] + 387 == r[u]: return\n    if l[u] + 388 == r[u]: return\n    if l[u] + 389 == r[u]: return\n    if l[u] + 390 == r[u]: return\n    if l[u] + 391 == r[u]: return\n    if l[u] + 392 == r[u]: return\n    if l[u] + 393 == r[u]: return\n    if l[u] + 394 == r[u]: return\n    if l[u] + 395 == r[u]: return\n    if l[u] + 396 == r[u]: return\n    if l[u] + 397 == r[u]: return\n    if l[u] + 398 == r[u]: return\n    if l[u] + 399 == r[u]: return\n    if l[u] + 400 == r[u]: return\n    if l[u] + 401 == r[u]: return\n    if l[u] + 402 == r[u]: return\n    if l[u] + 403 == r[u]: return\n    if l[u] + 404 == r[u]: return\n    if l[u] + 405 == r[u]: return\n    if l[u] + 406 == r[u]: return\n    if l[u] + 407 == r[u]: return\n    if l[u] + 408 == r[u]: return\n    if l[u] + 409 == r[u]: return\n    if l[u] + 410 == r[u]: return\n    if l[u] + 411 == r[u]: return\n    if l[u] + 412 == r[u]: return\n   ",
    "passed": 0,
    "test_error": ""
  }
]

You are an expert programmer. Solve the task exactly as specified. Output your solution as fenced code blocks using the required file name(s) and the exact function/type signatures requested. Prefer correctness; do not include prose outside code unless asked.