RMQ之ST求区间最小值

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题目链接:https://cn.vjudge.net/problem/HRBUST-1188

每一次按照二进制的方式进行更新,二维数组dp [i] [j],i表示下标,j表示从i 开始的往后移动2的j-1次方个数再-1.

AC代码:

#include<iostream>
#include<cmath>
#include<stack>
#include<iomanip>
#include<queue>
#include<cstring>
#include<string>
#include<stdio.h>
#include<algorithm>
#include<vector>
using namespace std;
# define inf 0x3f3f3f3f
# define ll long long
const int maxn = 50000+100;
int dp[maxn][20];
int n;
void RMQ()
{
    for(int i=1; i<=20; i++)
    {
        for(int j=1; j<=n; j++)
        {
            if(j+(1<<i)-1<=n)
            {
                dp[j][i]=max(dp[j][i-1],dp[j+(1<<(i-1))][i-1]);
            }
        }
    }
}
int main()
{

    int Case=0;
    while(~scanf("%d",&n))
    {
        memset(dp,0,sizeof(dp));
        for(int i=1; i<=n; i++)
        {
            scanf("%d",&dp[i][0]);
        }
        RMQ();
        int m;
        int t1,t2;
        scanf("%d",&m);
        printf("Case %d:\n",++Case);
        while(m--)
        {
            scanf("%d%d",&t1,&t2);
            int k=0;
          // k=(int)(log((double)(t2-t1+1))/log(2.0));
           while((t1+1<<(k+1))<=t2)k++;
            printf("%d\n",max(dp[t1][k],dp[t2-(1<<k)+1][k]));
        }
    }
    return 0;
}

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