// A C++ Program to implement A* Search Algorithm // modified https://www.geeksforgeeks.org/a-search-algorithm/ #include <bits/stdc++.h> using namespace std; #define ROW 2001 #define COL 2001 int M, N; typedef struct Pair { int first; int second; bool operator<(const struct Pair &other) const { return (first != other.first) ? (first < other.first) : (second < other.second); } } Pair; typedef struct pPair { double first; Pair second; bool operator<(const struct pPair &other) const { return (first != other.first) ? (first < other.first) : (second < other.second); } } pPair; int SRC_F = 0, SRC_S = 0, DEST_F, DEST_S; char grid[ROW][COL]; struct cell { int parent_i, parent_j; double f, g, h; }; bool isValid(int row, int col) { return (row >= 0) && (row < M) && (col >= 0) && (col < N); } bool isUnBlocked(int row, int col) { return grid[row][col] == '.'; } bool isDestination(int row, int col) { return row == DEST_F && col == DEST_S; } double calculateHValue(int row, int col) { return ((double) sqrt( (row - DEST_F) * (row - DEST_F) + (col - DEST_S) * (col - DEST_S))); } unsigned long long tracePath(cell *cellDetails[]) { int row = DEST_F; int col = DEST_S; unsigned long long l = 0; while(!(cellDetails[row][col].parent_i == row && cellDetails[row][col].parent_j == col)) { ++l; int temp_row = cellDetails[row][col].parent_i; int temp_col = cellDetails[row][col].parent_j; row = temp_row; col = temp_col; } return l; } unsigned long long aStarSearch() { if(isValid(SRC_F, SRC_S) == false) { return 0; } if(isValid(DEST_F, DEST_S) == false) { return 0; } if(isUnBlocked(SRC_F, SRC_S) == false || isUnBlocked(DEST_F, DEST_S) == false) { return 0; } if(isDestination(SRC_F, SRC_S) == true) { return 0; } bool closedList[ROW][COL]; memset(closedList, false, sizeof(closedList)); cell *cellDetails[ROW]; for(unsigned long long i = 0; i < ROW; ++i) cellDetails[i] = new cell[COL]; int i, j; for(i = 0; i < ROW; i++) { for(j = 0; j < COL; j++) { cellDetails[i][j].f = FLT_MAX; cellDetails[i][j].g = FLT_MAX; cellDetails[i][j].h = FLT_MAX; cellDetails[i][j].parent_i = -1; cellDetails[i][j].parent_j = -1; } } i = SRC_F, j = SRC_S; cellDetails[i][j].f = 0.0; cellDetails[i][j].g = 0.0; cellDetails[i][j].h = 0.0; cellDetails[i][j].parent_i = i; cellDetails[i][j].parent_j = j; set<pPair> openList; openList.insert({0.0, {i, j}}); bool foundDest = false; while(!openList.empty()) { pPair p = *openList.begin(); openList.erase(openList.begin()); i = p.second.first; j = p.second.second; closedList[i][j] = true; double gNew, hNew, fNew; if(isValid(i - 1, j)) { if(isDestination(i - 1, j)) { cellDetails[i - 1][j].parent_i = i; cellDetails[i - 1][j].parent_j = j; return tracePath(cellDetails); } else if((!closedList[i - 1][j]) && isUnBlocked(i - 1, j)) { gNew = cellDetails[i][j].g + 1.0; hNew = calculateHValue(i - 1, j); fNew = gNew + hNew; if(cellDetails[i - 1][j].f == FLT_MAX || cellDetails[i - 1][j].f > fNew) { openList.insert({fNew, {i - 1, j}}); cellDetails[i - 1][j].f = fNew; cellDetails[i - 1][j].g = gNew; cellDetails[i - 1][j].h = hNew; cellDetails[i - 1][j].parent_i = i; cellDetails[i - 1][j].parent_j = j; } } } if(isValid(i + 1, j)) { if(isDestination(i + 1, j)) { cellDetails[i + 1][j].parent_i = i; cellDetails[i + 1][j].parent_j = j; return tracePath(cellDetails); } else if((!closedList[i + 1][j]) && isUnBlocked(i + 1, j)) { gNew = cellDetails[i][j].g + 1.0; hNew = calculateHValue(i + 1, j); fNew = gNew + hNew; if(cellDetails[i + 1][j].f == FLT_MAX || cellDetails[i + 1][j].f > fNew) { openList.insert({fNew, {i + 1, j}}); cellDetails[i + 1][j].f = fNew; cellDetails[i + 1][j].g = gNew; cellDetails[i + 1][j].h = hNew; cellDetails[i + 1][j].parent_i = i; cellDetails[i + 1][j].parent_j = j; } } } if(isValid(i, j + 1) == true) { if(isDestination(i, j + 1)) { cellDetails[i][j + 1].parent_i = i; cellDetails[i][j + 1].parent_j = j; return tracePath(cellDetails); } else if((!closedList[i][j + 1]) && isUnBlocked(i, j + 1)) { gNew = cellDetails[i][j].g + 1.0; hNew = calculateHValue(i, j + 1); fNew = gNew + hNew; if(cellDetails[i][j + 1].f == FLT_MAX || cellDetails[i][j + 1].f > fNew) { openList.insert({fNew, {i, j + 1}}); cellDetails[i][j + 1].f = fNew; cellDetails[i][j + 1].g = gNew; cellDetails[i][j + 1].h = hNew; cellDetails[i][j + 1].parent_i = i; cellDetails[i][j + 1].parent_j = j; } } } if(isValid(i, j - 1)) { if(isDestination(i, j - 1)) { cellDetails[i][j - 1].parent_i = i; cellDetails[i][j - 1].parent_j = j; return tracePath(cellDetails); } else if((!closedList[i][j - 1]) && isUnBlocked(i, j - 1)) { gNew = cellDetails[i][j].g + 1.; hNew = calculateHValue(i, j - 1); fNew = gNew + hNew; if(cellDetails[i][j - 1].f == FLT_MAX || cellDetails[i][j - 1].f > fNew) { openList.insert({fNew, {i, j - 1}}); cellDetails[i][j - 1].f = fNew; cellDetails[i][j - 1].g = gNew; cellDetails[i][j - 1].h = hNew; cellDetails[i][j - 1].parent_i = i; cellDetails[i][j - 1].parent_j = j; } } } } return -1; } int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); unsigned long long n; cin >> M >> N >> n; cin.get(); DEST_F = M - 1; DEST_S = N - 1; for(unsigned long long i = 0; i < M; ++i) cin.getline(grid[i], COL); unsigned long long droga = aStarSearch(); vector<pair<int, int>> friends; unsigned long long a, b; unsigned long long min_wejsc = M + N - 2; unsigned long long zejsc = (droga - min_wejsc) / 2; unsigned long long wejsc = min_wejsc + zejsc; unsigned long long m = ULLONG_MAX, mm = 0; // value, ilość unsigned long long value; while(n--) { cin >> a >> b; value = a * wejsc + b * zejsc; if(value == m) ++mm; else if(value < m) { m = value; mm = 1; } } cout << m << ' ' << mm << '\n'; 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 | // A C++ Program to implement A* Search Algorithm // modified https://www.geeksforgeeks.org/a-search-algorithm/ #include <bits/stdc++.h> using namespace std; #define ROW 2001 #define COL 2001 int M, N; typedef struct Pair { int first; int second; bool operator<(const struct Pair &other) const { return (first != other.first) ? (first < other.first) : (second < other.second); } } Pair; typedef struct pPair { double first; Pair second; bool operator<(const struct pPair &other) const { return (first != other.first) ? (first < other.first) : (second < other.second); } } pPair; int SRC_F = 0, SRC_S = 0, DEST_F, DEST_S; char grid[ROW][COL]; struct cell { int parent_i, parent_j; double f, g, h; }; bool isValid(int row, int col) { return (row >= 0) && (row < M) && (col >= 0) && (col < N); } bool isUnBlocked(int row, int col) { return grid[row][col] == '.'; } bool isDestination(int row, int col) { return row == DEST_F && col == DEST_S; } double calculateHValue(int row, int col) { return ((double) sqrt( (row - DEST_F) * (row - DEST_F) + (col - DEST_S) * (col - DEST_S))); } unsigned long long tracePath(cell *cellDetails[]) { int row = DEST_F; int col = DEST_S; unsigned long long l = 0; while(!(cellDetails[row][col].parent_i == row && cellDetails[row][col].parent_j == col)) { ++l; int temp_row = cellDetails[row][col].parent_i; int temp_col = cellDetails[row][col].parent_j; row = temp_row; col = temp_col; } return l; } unsigned long long aStarSearch() { if(isValid(SRC_F, SRC_S) == false) { return 0; } if(isValid(DEST_F, DEST_S) == false) { return 0; } if(isUnBlocked(SRC_F, SRC_S) == false || isUnBlocked(DEST_F, DEST_S) == false) { return 0; } if(isDestination(SRC_F, SRC_S) == true) { return 0; } bool closedList[ROW][COL]; memset(closedList, false, sizeof(closedList)); cell *cellDetails[ROW]; for(unsigned long long i = 0; i < ROW; ++i) cellDetails[i] = new cell[COL]; int i, j; for(i = 0; i < ROW; i++) { for(j = 0; j < COL; j++) { cellDetails[i][j].f = FLT_MAX; cellDetails[i][j].g = FLT_MAX; cellDetails[i][j].h = FLT_MAX; cellDetails[i][j].parent_i = -1; cellDetails[i][j].parent_j = -1; } } i = SRC_F, j = SRC_S; cellDetails[i][j].f = 0.0; cellDetails[i][j].g = 0.0; cellDetails[i][j].h = 0.0; cellDetails[i][j].parent_i = i; cellDetails[i][j].parent_j = j; set<pPair> openList; openList.insert({0.0, {i, j}}); bool foundDest = false; while(!openList.empty()) { pPair p = *openList.begin(); openList.erase(openList.begin()); i = p.second.first; j = p.second.second; closedList[i][j] = true; double gNew, hNew, fNew; if(isValid(i - 1, j)) { if(isDestination(i - 1, j)) { cellDetails[i - 1][j].parent_i = i; cellDetails[i - 1][j].parent_j = j; return tracePath(cellDetails); } else if((!closedList[i - 1][j]) && isUnBlocked(i - 1, j)) { gNew = cellDetails[i][j].g + 1.0; hNew = calculateHValue(i - 1, j); fNew = gNew + hNew; if(cellDetails[i - 1][j].f == FLT_MAX || cellDetails[i - 1][j].f > fNew) { openList.insert({fNew, {i - 1, j}}); cellDetails[i - 1][j].f = fNew; cellDetails[i - 1][j].g = gNew; cellDetails[i - 1][j].h = hNew; cellDetails[i - 1][j].parent_i = i; cellDetails[i - 1][j].parent_j = j; } } } if(isValid(i + 1, j)) { if(isDestination(i + 1, j)) { cellDetails[i + 1][j].parent_i = i; cellDetails[i + 1][j].parent_j = j; return tracePath(cellDetails); } else if((!closedList[i + 1][j]) && isUnBlocked(i + 1, j)) { gNew = cellDetails[i][j].g + 1.0; hNew = calculateHValue(i + 1, j); fNew = gNew + hNew; if(cellDetails[i + 1][j].f == FLT_MAX || cellDetails[i + 1][j].f > fNew) { openList.insert({fNew, {i + 1, j}}); cellDetails[i + 1][j].f = fNew; cellDetails[i + 1][j].g = gNew; cellDetails[i + 1][j].h = hNew; cellDetails[i + 1][j].parent_i = i; cellDetails[i + 1][j].parent_j = j; } } } if(isValid(i, j + 1) == true) { if(isDestination(i, j + 1)) { cellDetails[i][j + 1].parent_i = i; cellDetails[i][j + 1].parent_j = j; return tracePath(cellDetails); } else if((!closedList[i][j + 1]) && isUnBlocked(i, j + 1)) { gNew = cellDetails[i][j].g + 1.0; hNew = calculateHValue(i, j + 1); fNew = gNew + hNew; if(cellDetails[i][j + 1].f == FLT_MAX || cellDetails[i][j + 1].f > fNew) { openList.insert({fNew, {i, j + 1}}); cellDetails[i][j + 1].f = fNew; cellDetails[i][j + 1].g = gNew; cellDetails[i][j + 1].h = hNew; cellDetails[i][j + 1].parent_i = i; cellDetails[i][j + 1].parent_j = j; } } } if(isValid(i, j - 1)) { if(isDestination(i, j - 1)) { cellDetails[i][j - 1].parent_i = i; cellDetails[i][j - 1].parent_j = j; return tracePath(cellDetails); } else if((!closedList[i][j - 1]) && isUnBlocked(i, j - 1)) { gNew = cellDetails[i][j].g + 1.; hNew = calculateHValue(i, j - 1); fNew = gNew + hNew; if(cellDetails[i][j - 1].f == FLT_MAX || cellDetails[i][j - 1].f > fNew) { openList.insert({fNew, {i, j - 1}}); cellDetails[i][j - 1].f = fNew; cellDetails[i][j - 1].g = gNew; cellDetails[i][j - 1].h = hNew; cellDetails[i][j - 1].parent_i = i; cellDetails[i][j - 1].parent_j = j; } } } } return -1; } int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); unsigned long long n; cin >> M >> N >> n; cin.get(); DEST_F = M - 1; DEST_S = N - 1; for(unsigned long long i = 0; i < M; ++i) cin.getline(grid[i], COL); unsigned long long droga = aStarSearch(); vector<pair<int, int>> friends; unsigned long long a, b; unsigned long long min_wejsc = M + N - 2; unsigned long long zejsc = (droga - min_wejsc) / 2; unsigned long long wejsc = min_wejsc + zejsc; unsigned long long m = ULLONG_MAX, mm = 0; // value, ilość unsigned long long value; while(n--) { cin >> a >> b; value = a * wejsc + b * zejsc; if(value == m) ++mm; else if(value < m) { m = value; mm = 1; } } cout << m << ' ' << mm << '\n'; return 0; } |