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poj 1088 滑雪 dp

dp[i][j]表示从i,j开始的最长路径,记忆化搜索一下。

#include <cstdio>#include <cstring>#include <algorithm>using namespace std;#define maxn 120int dp[maxn][maxn],map[maxn][maxn];int r,c;int dfs(int i,int j){    if(dp[i][j]!=-1) return dp[i][j];    else    {        int ans=1;        if(j+1<=c&&map[i][j]>map[i][j+1]) ans=max(ans,dfs(i,j+1)+1);        if(j-1>=1&&map[i][j]>map[i][j-1]) ans=max(ans,dfs(i,j-1)+1);        if(i+1<=r&&map[i][j]>map[i+1][j]) ans=max(ans,dfs(i+1,j)+1);        if(i-1>=1&&map[i][j]>map[i-1][j]) ans=max(ans,dfs(i-1,j)+1);        dp[i][j]=ans;        return ans;    }}int main(){    int i,j;    while(scanf("%d%d",&r,&c)!=EOF)    {        for(i=1;i<=r;i++)            for(j=1;j<=c;j++)                scanf("%d",&map[i][j]);        memset(dp,-1,sizeof(dp));        int Max=-1;        for(i=1;i<=r;i++)            for(j=1;j<=c;j++)            {                if(dp[i][j]==-1)                    dp[i][j]=dfs(i,j);                Max=max(dp[i][j],Max);            }        printf("%d\n",Max);    }    return 0;}
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