最長上升子序列(模板)

來源:互聯網
上載者:User

標籤:模板   lis   

轉載請註明出處:http://blog.csdn.net/u012860063


一般的情況下:

#include <stdio.h>#include <algorithm>#include <string.h>using namespace std;int a[1005],dp[1005],n;int LIS(){    int i,j,ans,m;    dp[1] = 1;    ans = 1;    for(i = 2;i<=n;i++)    {        m = 0;        for(j = 1;j<i;j++)        {            if(dp[j]>m && a[j]<a[i])m = dp[j];        }        dp[i] = m+1;        if(dp[i]>ans)ans = dp[i];    }    return ans;}
二分最佳化:

#include <stdio.h>#include <string.h>#include <algorithm>using namespace std;int a[40005],dp[40005],n;int bin(int size,int k){    int l = 1,r = size;    while(l<=r)    {        int mid = (l+r)/2;        if(k>dp[mid])            l = mid+1;        else            r = mid-1;    }    return l;}int LIS(){    int i,j,ans=1;    dp[1] = a[1];    for(i = 2; i<=n; i++)    {        if(a[i]<=dp[1])            j = 1;        else if(a[i]>dp[ans])            j = ++ans;        else            j = bin(ans,a[i]);        dp[j] = a[i];    }    return ans;}



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