(线段树 区间查询)The Water Problem -- hdu -- 5443 (2015 ACM/ICPC Asia Regional Changchun Online)...

本文介绍了一个关于查询最大水源的问题,并提供了一种通过构建线段树来高效查询区间内最大值的解决方案。该方案适用于处理一系列水源大小数据及针对这些数据进行多次范围查询的最大值请求。

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链接:

http://acm.hdu.edu.cn/showproblem.php?pid=5443

 

The Water Problem

Time Limit: 1500/1000 MS (Java/Others)    Memory Limit: 131072/131072 K (Java/Others)
Total Submission(s): 738    Accepted Submission(s): 591


Problem Description
In Land waterless, water is a very limited resource. People always fight for the biggest source of water. Given a sequence of water sources with  a1,a2,a3,...,anrepresenting the size of the water source. Given a set of queries each containing 2 integers l and r, please find out the biggest water source between al and ar.
 

 

Input
First you are given an integer  T(T10) indicating the number of test cases. For each test case, there is a number n(0n1000) on a line representing the number of water sources. n integers follow, respectively a1,a2,a3,...,an, and each integer is in {1,...,106}. On the next line, there is a number q(0q1000) representing the number of queries. After that, there will be q lines with two integers l and r(1lrn) indicating the range of which you should find out the biggest water source.
 

 

Output
For each query, output an integer representing the size of the biggest water source.
 

 

Sample Input
3 1 100 1 1 1 5 1 2 3 4 5 5 1 2 1 3 2 4 3 4 3 5 3 1 999999 1 4 1 1 1 2 2 3 3 3
 

 

Sample Output
100 2 3 4 4 5 1 999999 999999 1
 
#include<iostream>
#include<cstdio>
#include<cstring>
#include<cstdlib>
#include<queue>
#include<vector>
#include<cmath>
using namespace std;

#define N 1110
#define INF 0xffffff
#define Lson r<<1
#define Rson r<<1|1
#define Mid  a[r].mid()

struct node
{
    int L, R, Max;
    int mid() {return (L+R)/2;}
}a[N*4];

int n, m;

void BuildTree(int r, int L, int R)
{
    a[r].L = L, a[r].R = R, a[r].Max = 0;

    if(L==R)
    {
        scanf("%d", &a[r].Max);
        return ;
    }

    BuildTree(Lson, L, Mid);
    BuildTree(Rson, Mid+1, R);

    a[r].Max = max(a[Lson].Max, a[Rson].Max);
}

int Query(int r, int L, int R)
{
    if(a[r].L==L && a[r].R==R)
    {
        return a[r].Max;
    }

    if(R<=Mid)
       return Query(Lson, L, R);
    else if(L>Mid)
       return Query(Rson, L, R);
    else
    {
        int LMax = Query(Lson, L, Mid);
        int RMax = Query(Rson, Mid+1, R);
        return max(LMax, RMax);
    }
}

int main()
{
    int t;
    scanf("%d", &t);
    while(t--)
    {
        int i, L, R;

        scanf("%d", &n);

        BuildTree(1, 1, n);

        scanf("%d", &m);
        for(i=1; i<=m; i++)
        {
            scanf("%d%d", &L, &R);
            printf("%d\n", Query(1, L, R));
        }
    }
    return 0;
}

 

 

转载于:https://www.cnblogs.com/YY56/p/4820865.html

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