范围查询(Range)

清华OJ——数据结构与算法实验(中国石油大学)

范围查询(Range)


Descriptioin

Let S be a set of n integral points on the x-axis. For each given interval [a, b], you are asked to count the points lying inside.

Input

The first line contains two integers: n (size of S) and m (the number of queries).

The second line enumerates all the n points in S.

Each of the following m lines consists of two integers a and b and defines an query interval [a, b].

Output

The number of points in S lying inside each of the m query intervals.

Example

Input

5 2
1 3 7 9 11
4 6
7 12

Output

0
3

Restrictions

0 <= n, m <= 5 * 10^5

For each query interval [a, b], it is guaranteed that a <= b.

Points in S are distinct from each other.

Coordinates of each point as well as the query interval boundaries a and b are non-negative integers not greater than 10^7.

Time: 2 sec

Memory: 256 MB

描述

数轴上有n个点,对于任一闭区间 [a, b],试计算落在其内的点数。

输入

第一行包括两个整数:点的总数n,查询的次数m。

第二行包含n个数,为各个点的坐标。

以下m行,各包含两个整数:查询区间的左、右边界a和b。

输出

对每次查询,输出落在闭区间[a, b]内点的个数。

样例

见英文题面

限制

0 ≤ n, m ≤ 5×105

对于每次查询的区间[a, b],都有a ≤ b

各点的坐标互异

各点的坐标、查询区间的边界a、b,均为不超过10^7的非负整数

时间:2 sec

内存:256 MB

 1 #include<cstdio>
 2 using namespace std;
 3 typedef long long ll;
 4 const int N=1e7+10;
 5 int a[N];
 6 int main()
 7 {
 8     int n,m,now;
 9     int maxx=0;
10     scanf("%d%d",&n,&m);
11     for(int i=0;i<n;i++)
12     {
13         scanf("%d",&now);
14         a[now]=1;
15     }
16     for(int i=1;i<N;i++)
17     {
18         a[i]=a[i-1]+a[i];
19     }
20     for(int i=0;i<m;i++)
21     {
22         int x,y;
23         scanf("%d%d",&x,&y);
24         printf("%d\n",a[y]-a[x-1]);
25     }
26     return 0;
27 }
原文地址:https://www.cnblogs.com/sylvia1111/p/15613004.html