NYOJ矩形嵌套

题目链接:http://acm.nyist.net/JudgeOnline/problem.php?pid=16


DAG上的动态规划


代码:

#include <cstdio>
#include <cstring>
#include <algorithm>

using namespace std;

int e[1005][1005];
int N;
int n;
int a[1005],b[1005];
int d[1005];

int dp(int i)

{
    if(d[i] > 0)
        return d[i];
    d[i] = 1;
    for(int j = 0; j < n; ++j)
        if(e[i][j])
        {
             d[i] = max(d[i],dp(j) + 1);
        }
    return d[i];
}
int main()

{
    scanf("%d",&N);
    while(N--)
    {
        memset(d,0,sizeof(d));
        memset(e,0,sizeof(e));
        scanf("%d",&n);
        for(int i = 0; i < n; ++i)
            scanf("%d%d",&a[i],&b[i]);
        for(int i = 0; i < n; ++i)
        {
            for(int j = 0; j < n; ++j)
                if(i != j)
                {
                    if((a[i] < a[j] && b[i] < b[j])||(a[i] < b[j] && b[i] < a[j]))
                    {
                        e[i][j] = 1;
                    }
                }
        }
        int ans = 0;
        for(int i = 0;i < n;++i)
            if(dp(i) > ans)
                ans = dp(i);
        printf("%d\n",ans);
    }
    return 0;
}

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