题目链接
题意
有个小球,只能向右边或下边滚动,而且它下一步滚动的步数是它在当前点上的数字,如果是0表示进入一个死胡同。求它从左上角到右下角到路径数目。
注意, 题目给了提示了,要用64位的整数。
记忆化搜索方法
代码语言:javascript复制#include <stdio.h>
#include <string.h>
#define ll __int64
int n;
ll vis[36][36];
char board[36][36];
ll dfs(int x,int y)
{
if(x==n-1&&y==n-1)
return 1;
if(board[x][y]=='0')
return 0;
if(vis[x][y])
return vis[x][y];
if(x board[x][y]-'0'<n)
vis[x][y] =dfs(x board[x][y]-'0',y);
if(y board[x][y]-'0'<n)
vis[x][y] =dfs(x,y board[x][y]-'0');
return vis[x][y];
}
int main()
{
while (scanf("%d",&n)!=EOF)
{
if(n == -1)
break;
for (int i = 0; i < n; i )
scanf("%s",board[i]);
memset(vis, 0, sizeof(vis));
printf("%I64dn", dfs(0,0));
}
return 0;
}
dp方法
代码语言:javascript复制#include <stdio.h>
#include <string.h>
#define ll __int64
ll vis[50][50];
char board[50][50];
int main()
{
int i,j,n;
while (scanf("%d",&n)!=EOF)
{
if(n == -1)
break;
for (i = 0; i < n; i )
scanf("%s",board[i]);
memset(vis, 0, sizeof(vis));
vis[0][0] = 1;
for (i = 0; i < n; i )
{
for (j = 0; j < n; j )
{
if(board[i][j] == '0')
continue;
vis[i board[i][j]-'0'][j] = vis[i][j];
vis[i][j board[i][j]-'0'] = vis[i][j];
}
}
printf("%I64dn", vis[n-1][n-1]);
}
return 0;
}