#include <iostream> #include <map> #include <unordered_map> #include <vector> #include <string> #include <set> #include <algorithm> #include <climits> using namespace std; struct Gosc { Gosc() {}; Gosc(unsigned int _a, unsigned int _b) : a(_a), b(_b) {} ~Gosc() {}; unsigned int a, b = 0; }; struct Cell { bool blocked = false; bool visited = false; int parent_i, parent_j = 0; unsigned int f, g, h = UINT_MAX; void Clear() { visited = false; parent_i = 0; parent_j = 0; f = UINT_MAX; g = UINT_MAX; h = UINT_MAX; } }; unsigned int N, M, K; Cell** MAPA = new Cell * [N]; // Creating a shortcut for int, int pair type typedef pair<unsigned int, unsigned int> Pair; // Creating a shortcut for pair<int, pair<int, int>> type typedef pair<unsigned int, pair<unsigned int, unsigned int>> pPair; // A structure to hold the neccesary parameters struct cell { // Row and Column index of its parent // Note that 0 <= i <= ROW-1 & 0 <= j <= COL-1 int parent_i, parent_j; // f = g + h double f, g, h; }; //cell** cellDetails = new cell* [N]; // A Utility Function to check whether given cell (row, col) // is a valid cell or not. bool isValid(int row, int col) { // Returns true if row number and column number // is in range return (row >= 0) && (row < N) && (col >= 0) && (col < M); } // A Utility Function to check whether the given cell is // blocked or not bool isUnBlocked(int row, int col) { // Returns true if the cell is not blocked else false if (MAPA[row][col].blocked) return (false); else return (true); } // A Utility Function to check whether destination cell has // been reached or not bool isDestination(int row, int col) { if (row == N-1 && col == M-1) return (true); else return (false); } // A Utility Function to calculate the 'h' heuristics. unsigned int calculateHValue(int row, int col) { return (N - 1 - row) + (M - 1 - col); } unsigned int calculateGValue(int row, int col, int parent_row, int parent_col, const Gosc& g) { if (row > parent_row || col > parent_col) { return g.a; } else { return g.b; } } bool aStarSearch(Pair src, Pair dest, const Gosc& gosc) { int i, j; i = src.first, j = src.second; MAPA[i][j].f = 0.0; MAPA[i][j].g = 0.0; MAPA[i][j].h = 0.0; MAPA[i][j].parent_i = i; MAPA[i][j].parent_j = j; if (isDestination(src.first, src.second) == true) { return true; } set<pPair> openList; // Put the starting cell on the open list and set its // 'f' as 0 openList.insert(make_pair(0.0, make_pair(0, 0))); // We set this boolean value as false as initially // the destination is not reached. bool foundDest = false; while (!openList.empty()) { pPair p = *openList.begin(); // Remove this vertex from the open list openList.erase(openList.begin()); // Add this vertex to the closed list i = p.second.first; j = p.second.second; MAPA[i][j].visited = true; // To store the 'g', 'h' and 'f' of the 8 successors unsigned int gNew, hNew, fNew; //----------- 1st Successor (North) ------------ // Only process this cell if this is a valid one if (isValid(i - 1, j) == true) { // If the destination cell is the same as the // current successor if (isDestination(i - 1, j) == true) { // Set the Parent of the destination cell MAPA[i - 1][j].parent_i = i; MAPA[i - 1][j].parent_j = j; foundDest = true; MAPA[i - 1][j].g = calculateGValue(i - 1, j, i, j, gosc); return true; } // If the successor is already on the closed // list or if it is blocked, then ignore it. // Else do the following else if (MAPA[i - 1][j].visited == false && isUnBlocked(i - 1, j) == true) { gNew = calculateGValue(i - 1, j, i, j, gosc); hNew = calculateHValue(i - 1, j); fNew = gNew + hNew; if (MAPA[i - 1][j].f == UINT_MAX || MAPA[i - 1][j].f > fNew) { openList.insert(make_pair(fNew, make_pair(i - 1, j))); // Update the details of this cell MAPA[i - 1][j].f = fNew; MAPA[i - 1][j].g = gNew; MAPA[i - 1][j].h = hNew; MAPA[i - 1][j].parent_i = i; MAPA[i - 1][j].parent_j = j; } } } //----------- 2nd Successor (South) ------------ // Only process this cell if this is a valid one if (isValid(i + 1, j) == true) { // If the destination cell is the same as the // current successor if (isDestination(i + 1, j) == true) { // Set the Parent of the destination cell MAPA[i + 1][j].parent_i = i; MAPA[i + 1][j].parent_j = j; // printf("The destination cell is found\n"); // tracePath(cellDetails, dest); foundDest = true; MAPA[i + 1][j].g = calculateGValue(i + 1, j, i, j, gosc); return true; } // If the successor is already on the closed // list or if it is blocked, then ignore it. // Else do the following else if (MAPA[i + 1][j].visited == false && isUnBlocked(i + 1, j) == true) { gNew = calculateGValue(i + 1, j, i, j, gosc); hNew = calculateHValue(i + 1, j); fNew = gNew + hNew; if (MAPA[i + 1][j].f == UINT_MAX || MAPA[i + 1][j].f > fNew) { openList.insert(make_pair(fNew, make_pair(i + 1, j))); // Update the details of this cell MAPA[i + 1][j].f = fNew; MAPA[i + 1][j].g = gNew; MAPA[i + 1][j].h = hNew; MAPA[i + 1][j].parent_i = i; MAPA[i + 1][j].parent_j = j; } } } //----------- 3rd Successor (East) ------------ // Only process this cell if this is a valid one if (isValid(i, j + 1) == true) { // If the destination cell is the same as the // current successor if (isDestination(i, j + 1) == true) { // Set the Parent of the destination cell MAPA[i][j + 1].parent_i = i; MAPA[i][j + 1].parent_j = j; //printf("The destination cell is found\n"); // tracePath(cellDetails, dest); foundDest = true; MAPA[i][j+1].g = calculateGValue(i, j+1, i, j, gosc); return true; } // If the successor is already on the closed // list or if it is blocked, then ignore it. // Else do the following else if (MAPA[i][j + 1].visited == false && isUnBlocked(i, j + 1) == true) { gNew = calculateGValue(i, j + 1, i, j, gosc); hNew = calculateHValue(i, j + 1); fNew = gNew + hNew; if (MAPA[i][j + 1].f == UINT_MAX || MAPA[i][j + 1].f > fNew) { openList.insert(make_pair(fNew, make_pair(i, j + 1))); // Update the details of this cell MAPA[i][j + 1].f = fNew; MAPA[i][j + 1].g = gNew; MAPA[i][j + 1].h = hNew; MAPA[i][j + 1].parent_i = i; MAPA[i][j + 1].parent_j = j; } } } //----------- 4th Successor (West) ------------ // Only process this cell if this is a valid one if (isValid(i, j - 1) == true) { // If the destination cell is the same as the // current successor if (isDestination(i, j - 1) == true) { // Set the Parent of the destination cell MAPA[i][j - 1].parent_i = i; MAPA[i][j - 1].parent_j = j; foundDest = true; MAPA[i][j-1].g = calculateGValue(i, j - 1, i, j, gosc); return true; } else if (MAPA[i][j - 1].visited == false && isUnBlocked(i, j - 1) == true) { gNew = calculateGValue(i, j - 1, i, j, gosc); hNew = calculateHValue(i, j - 1); fNew = gNew + hNew; if (MAPA[i][j - 1].f == UINT_MAX || MAPA[i][j - 1].f > fNew) { openList.insert(make_pair(fNew, make_pair(i, j - 1))); // Update the details of this cell MAPA[i][j - 1].f = fNew; MAPA[i][j - 1].g = gNew; MAPA[i][j - 1].h = hNew; MAPA[i][j - 1].parent_i = i; MAPA[i][j - 1].parent_j = j; } } } } return false; } unsigned int FindShortestPath() { //calculate cost unsigned int cost = 0; unsigned int i = N - 1; unsigned int j = M - 1; do { cost += MAPA[i][j].g; unsigned int newI = 0; unsigned int newJ = 0; newI = MAPA[i][j].parent_i; newJ = MAPA[i][j].parent_j; i = newI; j = newJ; } while (i != 0 || j != 0); return cost; } int main() { cin >> N; cin >> M; cin >> K; for (unsigned int i = 0; i < N; ++i) { MAPA[i] = new Cell[M]; } char c; for (unsigned int i = 0; i < N; ++i) { for (unsigned int j = 0; j < M; ++j) { cin >> c; if (c == '.') { MAPA[i][j].blocked = false; } else { MAPA[i][j].blocked = true; } } } unsigned int shortest_path = UINT_MAX; unsigned int shortest_path_num = 0; for (unsigned int i = 0; i < K; ++i) { // wyczysc mape for (unsigned int i = 0; i < N; ++i) { for (unsigned int j = 0; j < M; ++j) { MAPA[i][j].Clear(); } } Gosc g; cin >> g.a >> g.b; // znajdz sciezke bool res = aStarSearch(make_pair(0, 0), make_pair(N, M), g); if (!res) { continue; } // oblicz dlugosc unsigned int path = FindShortestPath(); if (path == shortest_path) { ++shortest_path_num; } if (path < shortest_path) { shortest_path = path; shortest_path_num = 1; } } cout << shortest_path << " " << shortest_path_num; for (int i = 0; i < N; ++i) { delete[] MAPA[i]; } return 0; }
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 | #include <iostream> #include <map> #include <unordered_map> #include <vector> #include <string> #include <set> #include <algorithm> #include <climits> using namespace std; struct Gosc { Gosc() {}; Gosc(unsigned int _a, unsigned int _b) : a(_a), b(_b) {} ~Gosc() {}; unsigned int a, b = 0; }; struct Cell { bool blocked = false; bool visited = false; int parent_i, parent_j = 0; unsigned int f, g, h = UINT_MAX; void Clear() { visited = false; parent_i = 0; parent_j = 0; f = UINT_MAX; g = UINT_MAX; h = UINT_MAX; } }; unsigned int N, M, K; Cell** MAPA = new Cell * [N]; // Creating a shortcut for int, int pair type typedef pair<unsigned int, unsigned int> Pair; // Creating a shortcut for pair<int, pair<int, int>> type typedef pair<unsigned int, pair<unsigned int, unsigned int>> pPair; // A structure to hold the neccesary parameters struct cell { // Row and Column index of its parent // Note that 0 <= i <= ROW-1 & 0 <= j <= COL-1 int parent_i, parent_j; // f = g + h double f, g, h; }; //cell** cellDetails = new cell* [N]; // A Utility Function to check whether given cell (row, col) // is a valid cell or not. bool isValid(int row, int col) { // Returns true if row number and column number // is in range return (row >= 0) && (row < N) && (col >= 0) && (col < M); } // A Utility Function to check whether the given cell is // blocked or not bool isUnBlocked(int row, int col) { // Returns true if the cell is not blocked else false if (MAPA[row][col].blocked) return (false); else return (true); } // A Utility Function to check whether destination cell has // been reached or not bool isDestination(int row, int col) { if (row == N-1 && col == M-1) return (true); else return (false); } // A Utility Function to calculate the 'h' heuristics. unsigned int calculateHValue(int row, int col) { return (N - 1 - row) + (M - 1 - col); } unsigned int calculateGValue(int row, int col, int parent_row, int parent_col, const Gosc& g) { if (row > parent_row || col > parent_col) { return g.a; } else { return g.b; } } bool aStarSearch(Pair src, Pair dest, const Gosc& gosc) { int i, j; i = src.first, j = src.second; MAPA[i][j].f = 0.0; MAPA[i][j].g = 0.0; MAPA[i][j].h = 0.0; MAPA[i][j].parent_i = i; MAPA[i][j].parent_j = j; if (isDestination(src.first, src.second) == true) { return true; } set<pPair> openList; // Put the starting cell on the open list and set its // 'f' as 0 openList.insert(make_pair(0.0, make_pair(0, 0))); // We set this boolean value as false as initially // the destination is not reached. bool foundDest = false; while (!openList.empty()) { pPair p = *openList.begin(); // Remove this vertex from the open list openList.erase(openList.begin()); // Add this vertex to the closed list i = p.second.first; j = p.second.second; MAPA[i][j].visited = true; // To store the 'g', 'h' and 'f' of the 8 successors unsigned int gNew, hNew, fNew; //----------- 1st Successor (North) ------------ // Only process this cell if this is a valid one if (isValid(i - 1, j) == true) { // If the destination cell is the same as the // current successor if (isDestination(i - 1, j) == true) { // Set the Parent of the destination cell MAPA[i - 1][j].parent_i = i; MAPA[i - 1][j].parent_j = j; foundDest = true; MAPA[i - 1][j].g = calculateGValue(i - 1, j, i, j, gosc); return true; } // If the successor is already on the closed // list or if it is blocked, then ignore it. // Else do the following else if (MAPA[i - 1][j].visited == false && isUnBlocked(i - 1, j) == true) { gNew = calculateGValue(i - 1, j, i, j, gosc); hNew = calculateHValue(i - 1, j); fNew = gNew + hNew; if (MAPA[i - 1][j].f == UINT_MAX || MAPA[i - 1][j].f > fNew) { openList.insert(make_pair(fNew, make_pair(i - 1, j))); // Update the details of this cell MAPA[i - 1][j].f = fNew; MAPA[i - 1][j].g = gNew; MAPA[i - 1][j].h = hNew; MAPA[i - 1][j].parent_i = i; MAPA[i - 1][j].parent_j = j; } } } //----------- 2nd Successor (South) ------------ // Only process this cell if this is a valid one if (isValid(i + 1, j) == true) { // If the destination cell is the same as the // current successor if (isDestination(i + 1, j) == true) { // Set the Parent of the destination cell MAPA[i + 1][j].parent_i = i; MAPA[i + 1][j].parent_j = j; // printf("The destination cell is found\n"); // tracePath(cellDetails, dest); foundDest = true; MAPA[i + 1][j].g = calculateGValue(i + 1, j, i, j, gosc); return true; } // If the successor is already on the closed // list or if it is blocked, then ignore it. // Else do the following else if (MAPA[i + 1][j].visited == false && isUnBlocked(i + 1, j) == true) { gNew = calculateGValue(i + 1, j, i, j, gosc); hNew = calculateHValue(i + 1, j); fNew = gNew + hNew; if (MAPA[i + 1][j].f == UINT_MAX || MAPA[i + 1][j].f > fNew) { openList.insert(make_pair(fNew, make_pair(i + 1, j))); // Update the details of this cell MAPA[i + 1][j].f = fNew; MAPA[i + 1][j].g = gNew; MAPA[i + 1][j].h = hNew; MAPA[i + 1][j].parent_i = i; MAPA[i + 1][j].parent_j = j; } } } //----------- 3rd Successor (East) ------------ // Only process this cell if this is a valid one if (isValid(i, j + 1) == true) { // If the destination cell is the same as the // current successor if (isDestination(i, j + 1) == true) { // Set the Parent of the destination cell MAPA[i][j + 1].parent_i = i; MAPA[i][j + 1].parent_j = j; //printf("The destination cell is found\n"); // tracePath(cellDetails, dest); foundDest = true; MAPA[i][j+1].g = calculateGValue(i, j+1, i, j, gosc); return true; } // If the successor is already on the closed // list or if it is blocked, then ignore it. // Else do the following else if (MAPA[i][j + 1].visited == false && isUnBlocked(i, j + 1) == true) { gNew = calculateGValue(i, j + 1, i, j, gosc); hNew = calculateHValue(i, j + 1); fNew = gNew + hNew; if (MAPA[i][j + 1].f == UINT_MAX || MAPA[i][j + 1].f > fNew) { openList.insert(make_pair(fNew, make_pair(i, j + 1))); // Update the details of this cell MAPA[i][j + 1].f = fNew; MAPA[i][j + 1].g = gNew; MAPA[i][j + 1].h = hNew; MAPA[i][j + 1].parent_i = i; MAPA[i][j + 1].parent_j = j; } } } //----------- 4th Successor (West) ------------ // Only process this cell if this is a valid one if (isValid(i, j - 1) == true) { // If the destination cell is the same as the // current successor if (isDestination(i, j - 1) == true) { // Set the Parent of the destination cell MAPA[i][j - 1].parent_i = i; MAPA[i][j - 1].parent_j = j; foundDest = true; MAPA[i][j-1].g = calculateGValue(i, j - 1, i, j, gosc); return true; } else if (MAPA[i][j - 1].visited == false && isUnBlocked(i, j - 1) == true) { gNew = calculateGValue(i, j - 1, i, j, gosc); hNew = calculateHValue(i, j - 1); fNew = gNew + hNew; if (MAPA[i][j - 1].f == UINT_MAX || MAPA[i][j - 1].f > fNew) { openList.insert(make_pair(fNew, make_pair(i, j - 1))); // Update the details of this cell MAPA[i][j - 1].f = fNew; MAPA[i][j - 1].g = gNew; MAPA[i][j - 1].h = hNew; MAPA[i][j - 1].parent_i = i; MAPA[i][j - 1].parent_j = j; } } } } return false; } unsigned int FindShortestPath() { //calculate cost unsigned int cost = 0; unsigned int i = N - 1; unsigned int j = M - 1; do { cost += MAPA[i][j].g; unsigned int newI = 0; unsigned int newJ = 0; newI = MAPA[i][j].parent_i; newJ = MAPA[i][j].parent_j; i = newI; j = newJ; } while (i != 0 || j != 0); return cost; } int main() { cin >> N; cin >> M; cin >> K; for (unsigned int i = 0; i < N; ++i) { MAPA[i] = new Cell[M]; } char c; for (unsigned int i = 0; i < N; ++i) { for (unsigned int j = 0; j < M; ++j) { cin >> c; if (c == '.') { MAPA[i][j].blocked = false; } else { MAPA[i][j].blocked = true; } } } unsigned int shortest_path = UINT_MAX; unsigned int shortest_path_num = 0; for (unsigned int i = 0; i < K; ++i) { // wyczysc mape for (unsigned int i = 0; i < N; ++i) { for (unsigned int j = 0; j < M; ++j) { MAPA[i][j].Clear(); } } Gosc g; cin >> g.a >> g.b; // znajdz sciezke bool res = aStarSearch(make_pair(0, 0), make_pair(N, M), g); if (!res) { continue; } // oblicz dlugosc unsigned int path = FindShortestPath(); if (path == shortest_path) { ++shortest_path_num; } if (path < shortest_path) { shortest_path = path; shortest_path_num = 1; } } cout << shortest_path << " " << shortest_path_num; for (int i = 0; i < N; ++i) { delete[] MAPA[i]; } return 0; } |