DP_简单DP最长上升子序列[n*lg(n)](HDU_1025)

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#include <stdio.h>
#include <string.h>
#include <algorithm>
using namespace std;

#define M 500002

int mu[M],d[M];

int lis(int n) //n*lg(n)
{
    d[1] = mu[1];
    int len = 1;
    for(int i=2; i<=n; i++)
    {
        int l = 1,r = len;
        while(l <= r)
        {
            int mid = (l + r) >> 1;
            if(d[mid] < mu[i])    l = mid + 1;
            else                r = mid - 1;
        }
        d[l] = mu[i];
        if(l > len) len++;
    }
    return len;
}

int main(int argc, char* argv[])
{
#ifdef __MYLOCAL
    freopen("in.txt","r",stdin);
#endif
    
    int n,t=1,len;
    while(scanf("%d",&n) != EOF)
    {
        for(int i=1; i<=n; i++)
        {
            int cur,in;
            scanf("%d%d",&cur,&in);
            mu[cur] = in;
        }
        len = lis(n);
        printf("Case %d:\n",t++);
        printf("My king, at most %d %s can be built.\n\n",len,len==1 ? "road" : "roads");
    }
    
    return 0;
}