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  • Balanced Lineup

     
    Time Limit: 5000MS   Memory Limit: 65536K
    Total Submissions: 49061   Accepted: 22975
    Case Time Limit: 2000MS

    Description

    For the daily milking, Farmer John's N cows (1 ≤ N ≤ 50,000) always line up in the same order. One day Farmer John decides to organize a game of Ultimate Frisbee with some of the cows. To keep things simple, he will take a contiguous range of cows from the milking lineup to play the game. However, for all the cows to have fun they should not differ too much in height.

    Farmer John has made a list of Q (1 ≤ Q ≤ 200,000) potential groups of cows and their heights (1 ≤ height ≤ 1,000,000). For each group, he wants your help to determine the difference in height between the shortest and the tallest cow in the group.

    Input

    Line 1: Two space-separated integers, N and Q
    Lines 2..N+1: Line i+1 contains a single integer that is the height of cow i 
    Lines N+2..N+Q+1: Two integers A and B (1 ≤ A ≤ B ≤ N), representing the range of cows from A to B inclusive.

    Output

    Lines 1..Q: Each line contains a single integer that is a response to a reply and indicates the difference in height between the tallest and shortest cow in the range.

    Sample Input

    6 3
    1
    7
    3
    4
    2
    5
    1 5
    4 6
    2 2

    Sample Output

    6
    3
    0


    题目大意:给出一个数字序列,对于每次提问,输出区间(i,j)内的最大值数与最小值数的差。ST算法
    #include<cstdio>
    #include<iostream>
    #include<cstring>
    #include<algorithm>
    #include<cmath>
    #define N  50010
    #define ll long long
    using namespace std;
    int f[N][20],fi[N][20],a[N];
    int n,m;
    void RMQ()
    {
        for (int i=1;i<=n;i++) f[i][0]=a[i],fi[i][0]=a[i];
        for (int i=1;i<=int(log(n)/log(2));i++)
          for (int j=1;j<=n+1-(1<<i);j++)
            {
                f[j][i]=max(f[j][i-1],f[j+(1<<i-1)][i-1]);//区间最大值 
                fi[j][i]=min(fi[j][i-1],fi[j+(1<<i-1)][i-1]);//区间最小值 
            }
            
    }
    int main()
    {
        while (scanf("%d%d",&n,&m)!=EOF)
          {
             for (int i=1;i<=n;i++) scanf("%d",&a[i]);
             RMQ();
             for (int i=1,x,y;i<=m;i++)
                {
                     scanf("%d%d",&x,&y);
                     int k; 
                     k=(int)(log(y-x+1)/log(2));
                     int ans1=max(f[x][k],f[y-(1<<k)+1][k]),//两个区间存在重叠 
                         ans2=min(fi[x][k],fi[y-(1<<k)+1][k]);
                     printf("%d
    ",ans1-ans2);
                }
          }
       
        return 0;
    }
    ST
    
    
    
    模板题。


     
     
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  • 原文地址:https://www.cnblogs.com/sjymj/p/6065223.html
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