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Curling 2.0

Time Limit: 1000MS Memory Limit: 65536KTotal Submissions: 21409 Accepted: 8726

Description

On Planet MM-21, after their Olympic games this year, curling is getting popular. But the rules are somewhat different from ours. The game is played on an ice game board on which a square mesh is marked. They use only a single stone. The purpose of the game is to lead the stone from the start to the goal with the minimum number of moves.

Fig. 1 shows an example of a game board. Some squares may be occupied with blocks. There are two special squares namely the start and the goal, which are not occupied with blocks. (These two squares are distinct.) Once the stone begins to move, it will proceed until it hits a block. In order to bring the stone to the goal, you may have to stop the stone by hitting it against a block, and throw again.

Fig. 1: Example of board (S: start, G: goal)

The movement of the stone obeys the following rules:

• At the beginning, the stone stands still at the start square.
• The movements of the stone are restricted to x and y directions. Diagonal moves are prohibited.
• When the stone stands still, you can make it moving by throwing it. You may throw it to any direction unless it is blocked immediately(Fig. 2(a)).
• Once thrown, the stone keeps moving to the same direction until one of the following occurs:
  • The stone hits a block (Fig. 2(b), (c)).
    • The stone stops at the square next to the block it hit.
    • The block disappears.
  • The stone gets out of the board.
    • The game ends in failure.
  • The stone reaches the goal square.
    • The stone stops there and the game ends in success.
• You cannot throw the stone more than 10 times in a game. If the stone does not reach the goal in 10 moves, the game ends in failure.

Fig. 2: Stone movements

Under the rules, we would like to know whether the stone at the start can reach the goal and, if yes, the minimum number of moves required.

With the initial configuration shown in Fig. 1, 4 moves are required to bring the stone from the start to the goal. The route is shown in Fig. 3(a). Notice when the stone reaches the goal, the board configuration has changed as in Fig. 3(b).

Fig. 3: The solution for Fig. D-1 and the final board configuration

Input

The input is a sequence of datasets. The end of the input is indicated by a line containing two zeros separated by a space. The number of datasets never exceeds 100.

Each dataset is formatted as follows.

the width(=w) and the height(=h) of the board 
First row of the board 
... 
h-th row of the board

The width and the height of the board satisfy: 2 <= w <= 20, 1 <= h <= 20.

Each line consists of w decimal numbers delimited by a space. The number describes the status of the corresponding square.

0vacant square1block2start position3goal position

The dataset for Fig. D-1 is as follows:

6 6 
1 0 0 2 1 0 
1 1 0 0 0 0 
0 0 0 0 0 3 
0 0 0 0 0 0 
1 0 0 0 0 1 
0 1 1 1 1 1

Output

For each dataset, print a line having a decimal integer indicating the minimum number of moves along a route from the start to the goal. If there are no such routes, print -1 instead. Each line should not have any character other than this number.

Sample Input

2 13 26 61 0 0 2 1 01 1 0 0 0 00 0 0 0 0 30 0 0 0 0 01 0 0 0 0 10 1 1 1 1 16 11 1 2 1 1 36 11 0 2 1 1 312 12 0 1 1 1 1 1 1 1 1 1 313 12 0 1 1 1 1 1 1 1 1 1 1 30 0

Sample Output

14-1410-1

Source

Japan 2006 Domestic

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题目大意：

一个图，给定起点与终点，求最小步数。一步表示往一个方向一直走，直到到达边界或者block，此时会停在block前的空格上，block会撞碎。超10步则输出-1.

思路：

深搜列举每一种情况，将起点与终点坐标坐标保存下来，和普通深搜求最短路的区别是如果确定一个方向且前方为空格，则要一直走，坐标一直加，直到遇到边界或者终点break，如果前方为block，则让其变为0，重新设置初始位置dfs，最后回溯即可。WA了几次，发现全局数组定义的位置会影响结果的正确性。

附上AC代码：

#include<iostream>  #include<cstring>  using namespace std;  int dir[25][25];int sx, sy;//起点坐标int gx,gy;//终点坐标int MaxStep;int flag;int n, m;int dx[]={0, 1, 0, -1}, dy[]={1, 0, -1, 0};void dfs(int x, int y, int step) {int nx, ny; if (step >= 10)return ;//步数大于10步，剪枝for (int i = 0; i < 4; i++) {if (dir[x+dx[i]][y+dy[i]] == 0) {nx = x;ny = y;while (dir[nx+dx[i]][ny+dy[i]] == 0) {nx = nx + dx[i];ny = ny + dy[i];if (nx == gx && ny == gy) {if(MaxStep > step + 1)MaxStep = step + 1;flag = 1;return ;}if (nx < 0 || nx >= m || ny < 0 || ny >= n)//越界                    break;}if (nx >= 0 && nx < m && ny >= 0 && ny < n && step + 1 < 10) {//到达blockdir[nx+dx[i]][ny+dy[i]] = 0;//撞碎blockdfs(nx, ny, step + 1);dir[nx+dx[i]][ny+dy[i]] = 1;//回溯}}}}int main() {while (cin >> n >> m) {if (n==0 && m==0)            break;memset(dir, 0, sizeof(dir));for (int i = 0; i < m; i++) for (int j = 0; j < n; j++) {cin >> dir[i][j];if (dir[i][j] == 2) {sx = i;sy = j;dir[i][j] = 0;}if (dir[i][j] == 3) {gx = i;gy = j;dir[i][j] = 0;}}flag = 0;MaxStep = 12;dfs(sx, sy, 0);if (!flag)            cout << -1 << endl;else            cout << MaxStep << endl;}return 0;}