SUM

Problem code: LMDP1104

All submissions for this problem are available.

You have N soldiers at your disposal , each having certain strength.Your senior commander is asking some questions.His questions are of the form , given strength S and a number K , do there exist K different soldiers such that sum of their strengths is S.

Input

First line of input contains N and Q.Number of soldiers and the number of queries asked by head commander.Then N lines follow describing the strength of each soldier.After that Q more lines are given each containing S and K as described in the problem.

Output

For each query output a line containing YES or NO accordingly the strength S can be obtained using K soldiers.

Constrains:

1<=N<=100
Strength of each soldier is between 1 and 1000 inclusive.
1<=Q<=1000
1<=S<=total strength of all soldiers
1<=K< N/2

Example: 

Input:
5 6
3 2 4 5 2
4 2
4 1
5 3
5 2
8 2
8 4
Output:
YES
YES
NO
YES
YES
NO

Author: saabir
Date Added: 28-09-2011
Time Limit: 0.5 sec
Source Limit: 50000 Bytes
Languages: C, C99 strict, CPP 4.0.0-8, CPP 4.3.2


Comments

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