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.php
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.ios
Fig. 1: Example of board (S: start, G: goal)app
The movement of the stone obeys the following rules:less
Fig. 2: Stone movementscurl
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.ide
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).ui
Fig. 3: The solution for Fig. D-1 and the final board configurationthis
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.url
Each dataset is formatted as follows.spa
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.
0 vacant square 1 block 2 start position 3 goal 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
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.
2 1 3 2 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 6 1 1 1 2 1 1 3 6 1 1 0 2 1 1 3 12 1 2 0 1 1 1 1 1 1 1 1 1 3 13 1 2 0 1 1 1 1 1 1 1 1 1 1 3 0 0
1 4 -1 4 10 -1
#include <iostream> #include <cstdio> #include <cstring> using namespace std; #define MAX_W 20 #define INF 99 int dx[]={1,-1,0,0}; int dy[]={0,0,1,-1}; int w,h; int sx,sy; int ex,ey; int map[MAX_W][MAX_W]; int mintimes; void dfs(int x,int y,int cur) { if(cur==10 && map[y][x]!=3) return; else if(map[y][x]==3) { mintimes=min(mintimes,cur); return; } for(int i=0;i<4;i++) { int nx=x+dx[i],ny=y+dy[i]; if(nx>=0 && nx<w && ny>=0 && ny<h) { if(map[ny][nx]==1) continue; while(nx>=0 && nx<w && ny>=0 && ny<h && map[ny][nx]!=1 && map[ny][nx]!=3) { nx+=dx[i];ny+=dy[i]; } if(nx<0 || nx>=w || ny<0 || ny>=h) continue; int co=map[ny][nx]; int cx=nx,cy=ny; if(map[ny][nx]==1) { map[ny][nx]=0; ny-=dy[i];nx-=dx[i]; } dfs(nx,ny,cur+1); map[cy][cx]=co; } } } int main() { scanf("%d%d",&w,&h); while(w!=0 || h!=0) { for(int i=0;i<h;i++) for(int j=0;j<w;j++) { scanf("%d",&map[i][j]); if(map[i][j]==2) { sx=j;sy=i; } else if(map[i][j]==3) { ex=j;ey=i; } } mintimes=INF; dfs(sx,sy,0); if(mintimes==INF) printf("-1\n"); else printf("%d\n",mintimes); scanf("%d%d",&w,&h); } return 0; }