题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=1208
题意:从(0, 0)出发,到(n - 1, n - 1),当你在(r, c)的位置时,只能向右或者向下走Map(r,c)步,问有多少种走法。
DFS水题,注意一点细节就好
#include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
#define maxn 40
using namespace std;
int n;
int Map[maxn][maxn];
long long dp[maxn][maxn];
int x[2] = {1, 0};
int y[2] = {0, 1};
void pre()
{
memset(dp, -1, sizeof(dp));
dp[n - 1][n - 1] = 1;
}
long long DFS(int r, int c)
{
if(dp[r][c] != -1)
{
return dp[r][c];
}
long long ans = 0;
for(int i = 0; i < 2; i++)
{
int rr = r + x[i] * Map[r][c];
int cc = c + y[i] * Map[r][c];
if(rr < n && cc < n)
{
if((rr == n -1 && cc == n - 1)|| Map[rr][cc])// 第一个条件有点坑
ans += DFS(rr, cc);
}
}
return dp[r][c] = ans;
}
int main()
{
while(~scanf("%d", &n), n != -1)
{
pre();
for(int i = 0; i < n; i++)
{
for(int j = 0; j < n; j++)
{
scanf("%1d", &Map[i][j]);//输入有点坑
}
}
cout << DFS(0, 0) << endl;
}
return 0;
}