Untitled
unknown
plain_text
6 months ago
434 kB
11
Indexable
Never
Cleaning Robot We have to plan a path for a cleaning robot to clean a rectangular room floor of size NxM. The room floor paved with square tiles whose size fits the cleaning robot (1 × 1). There are clean tiles and dirty tiles, and the robot can change a dirty tile to a clean tile by visiting the tile. Also there may be some obstacles (furniture) whose size fits a tile in the room. If there is an obstacle on a tile, the robot cannot visit it. The robot moves to an adjacent tile with one move. The tile onto which the robot moves must be one of four tiles (i.e., east, west, north or south) adjacent to the tile where the robot is present. The robot may visit a tile twice or more. Your task is to write a program which computes the minimum number of moves for the robot to change all dirty tiles to clean tiles, if ever possible. Time limit: 1s (C/C++), 2s (Java) Submit limit: 10 times Example: The following is a room of size 5x7, with 3 dirty tiles, and 0 furniture. The answer for this case is 8. Input The input consists of multiple maps, the first line is the number of test case T (T < = 50). Each test case begins with N and M representing the size of the room. ( 5 =< N, M <= 100) The next N line representing the arrangement of the room with following describe: 0 : a clean tile 1 : a dirty tile 2 : a piece of furniture (obstacle) 3 : the robot (initial position) In the map the number of dirty tiles does not exceed 10 and there is only one robot. Output Print each test case on two lines, the first line of each test case is "Case #x", where x is the test case number. The next line is the minimum number of moves for the robot to change all dirty tiles to clean tiles. If the map includes dirty tiles which the robot cannot reach, your program should output -1. Sample Input 5 5 7 0 0 0 0 0 0 0 0 3 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 5 15 0 0 0 0 2 0 2 0 0 0 0 1 2 0 1 0 0 0 1 0 2 0 2 2 0 1 2 0 0 0 2 1 0 2 0 1 0 2 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 1 2 0 0 2 0 0 0 2 1 0 2 0 0 0 0 0 3 0 0 0 0 ............... Output Case #1 8 Case #2 38 Case #3 37 Case #4 -1 Case #5 49 *** test case 50 5 15 0 0 0 0 2 0 2 0 0 0 0 1 2 0 1 0 0 0 1 0 2 0 2 2 0 1 2 0 0 0 2 1 0 2 0 1 0 2 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 1 2 0 0 2 0 0 0 2 1 0 2 0 0 0 0 0 3 0 0 0 0 9 15 2 0 2 2 0 2 0 0 2 0 0 0 0 0 2 0 2 2 2 0 0 0 0 0 2 0 1 0 0 2 2 0 0 1 2 0 3 0 1 0 0 0 0 2 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 1 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 2 0 0 0 1 0 0 2 0 0 0 2 0 1 2 2 0 0 0 0 0 2 14 32 0 0 0 2 0 1 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 2 0 2 2 0 0 0 0 0 0 0 0 2 2 2 2 0 2 0 0 0 0 0 2 2 0 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 0 0 0 0 2 0 0 0 3 0 0 2 0 2 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 1 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 0 2 0 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 2 2 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 2 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 *** output Case #1 38 Case #2 37 Case #3 52 Case #4 -1 Case #5 78 Case #6 43 Case #7 28 Case #8 3 Case #9 54 Case #10 50 Case #11 -1 Case #12 12 Case #13 -1 Case #14 99 Case #15 137 Case #16 117 Case #17 175 Case #18 115 Case #19 132 Case #20 38 Case #21 -1 Case #22 -1 Case #23 140 Case #24 46 Case #25 60 Case #26 56 Case #27 186 Case #28 18 Case #29 140 Case #30 177 Case #31 214 Case #32 207 Case #33 35 Case #34 -1 Case #35 466 Case #36 31 Case #37 228 Case #38 157 Case #39 160 Case #40 120 Case #41 301 Case #42 362 Case #43 272 Case #44 198 Case #45 490 Case #46 83 Case #47 152 Case #48 165 Case #49 333 Case #50 288 *** code #include<iostream> using namespace std; int ans; int N, M; int map[105][105]; int visitBFS[105][105]; int visitUV[12]; int dirtyXY[12][2]; int idx; int kc[12][12]; int dx[] = {0,0,1,-1}; int dy[] = {1,-1,0,0}; // Queue int qx[100000]; int qy[100000]; int front = -1; int rear = -1; bool isEmpty(){ return front == -1; } void push(int x, int y){ if (front == -1) front = 0; rear++; qx[rear] = x; qy[rear] = y; } void pop(){ if (front >= rear) front = rear = -1; else front++; } bool checkBien(int x, int y){ return x>=0 && x<N && y>=0 && y<M; } void inmap(){ for (int i = 0; i < N; i++){ for (int j = 0; j < M; j++){ cout << map[i][j] << " "; } cout << endl; } } void inkc(){ for (int i = 0; i < idx; i++){ for (int j = 0; j < idx; j++){ cout << kc[i][j] << " "; } cout << endl; } } int cnt[101][101] = {0}; void reset(){ // reset map for (int i = 0; i < N; i++){ for (int j = 0; j < M; j++){ map[i][j] = 0; } } for (int i = 0; i < 11; i++){ visitUV[i] = 0; // visit Try for (int j = 0; j < 11; j++){ dirtyXY[i][j] = 0; // diem ban kc[i][j] = 0; } } } // tinh khoang cach void BFS(int x, int y, int u){ // reset visit for (int k = 0; k < N; k++) { for (int h = 0; h < M; h++) { visitBFS[k][h] = 0; cnt[k][h] = 0; } } // reset queue front = rear = -1; push(x,y); visitBFS[x][y] = 1; while (!isEmpty()){ int x1 = qx[front]; int y1 = qy[front]; pop(); for(int i = 0; i < 4; i++){ int x2 = x1 + dx[i]; int y2 = y1 + dy[i]; if (checkBien(x2,y2) && visitBFS[x2][y2] == 0 && map[x2][y2] != 2){ cnt[x2][y2] = 1 + cnt[x1][y1]; visitBFS[x2][y2] = 1; // luu khoang cach if (map[x2][y2] == 1 || map[x2][y2] == 3){ for (int i = 0; i < idx; i++){ if (x2 == dirtyXY[i][0] && y2 == dirtyXY[i][1]){ kc[u][i] = cnt[x2][y2]; } } } push(x2,y2); } } } } void Try(int u, int sum, int numDirty){ if (numDirty == idx){ if (sum < ans) ans = sum; return; } if (sum > ans) return; for (int v = 0; v < idx; v++){ if (visitUV[v] == 0 && kc[u][v] > 0){ visitUV[v] = 1; Try(v, sum + kc[u][v], numDirty + 1); visitUV[v] = 0; } } } int main(){ freopen("input.txt","r",stdin); int TC; cin >> TC; for (int tc = 1; tc <= TC; tc++){ cin >> N >> M; reset(); idx = 1; for (int i = 0; i < N; i++){ for (int j = 0; j < M; j++){ cin >> map[i][j]; if (map[i][j] == 3) { dirtyXY[0][0] = i; dirtyXY[0][1] = j; } if (map[i][j] == 1) { dirtyXY[idx][0] = i; dirtyXY[idx][1] = j; idx++; } } } ans = 1000000; // tinh khoang cach tu cac diem ban den cac diem ban khac for (int i = 0; i < idx; i++) BFS(dirtyXY[i][0], dirtyXY[i][1], i); //inkc(); visitUV[0] = 1; Try(0,0,1); cout << "Case #" << tc << endl; cout << (ans == 1000000?-1:ans) << endl; } return 0; }