Same Parity Summands

medium
Question Solve Solutions 
https://codeforces.com/problemset/problem/1352/B

Input Format

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Output Format

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Constraints

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Example

Input
8
10 3
100 4
8 7
97 2
8 8
3 10
5 3
1000000000 9
Output
YES
4 2 4
YES
55 5 5 35
NO
NO
YES
1 1 1 1 1 1 1 1
NO
YES
3 1 1
YES
111111110 111111110 111111110 111111110 111111110 111111110 111111110 111111110 111111120
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