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6106: Eugeny and Array

内存限制：256 MB 时间限制：2 S 标准输入输出
题目类型：传统 评测方式：文本比较 上传者：
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题目描述

time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

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 li, ri (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.

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