Eugeny has array a = a1, a2, ..., an, consisting of n integers. Each integer ai equals to -1, or to 1. Also, he has m queries:

  • Query number i is given as a pair of integers liri (1 ≤ li ≤ ri ≤ n).
  • The response to the query will be integer 1, if the elements of array a can be rearranged so as the sum ali + ali + 1 + ... + ari = 0, otherwise the response to the query will be integer 0.

Help Eugeny, answer all his queries.

SRE实战 互联网时代守护先锋,助力企业售后服务体系运筹帷幄!一键直达领取阿里云限量特价优惠。

Input

The first line contains integers n and m (1 ≤ n, m ≤ 2·105). The second line contains n integers a1, a2, ..., an (ai = -1, 1). Next m lines contain Eugene's queries. The i-th line contains integers li, ri (1 ≤ li ≤ ri ≤ n).

Output

Print m integers — the responses to Eugene's queries in the order they occur in the input.

Examples

Input
2 3
1 -1
1 1
1 2
2 2
Output
0
1
0
Input
5 5
-1 1 1 1 -1
1 1
2 3
3 5
2 5
1 5
Output
0
1
0
1
0
题意:问这一组数重排后,能不能使区间[l,r]的和为0
这题就在卡输入
代码:
#include<iostream>
using namespace std;
int main(){
    ios::sync_with_stdio(false);//c++加速语句 
    int n,m;
    cin>>n>>m;
    int cnt1=0,cnt2=0;
    while(n--){
        int a;
        cin>>a;
        if(a>0)  cnt1++;
        else cnt2++;
    }
    int minn=min(cnt1,cnt2);
    while(m--){
        int l,r;
        cin>>l>>r;
        if((r-l+1)%2==0&&(r-l+1)/2<=minn) cout<<"1"<<endl;
        else cout<<"0"<<endl;
    }
    return 0;
} 

 

扫码关注我们
微信号:SRE实战
拒绝背锅 运筹帷幄