Interesting Array

hard

Question Solve Solutions

&lt;a href="https://codeforces.com/contest/482/problem/B"&gt;https://codeforces.com/contest/482/problem/B&lt;/a&gt;

Input Format

.

Output Format

.

Constraints

Notice

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Example

Input

3 1
1 3 3

Output

YES
3 3 3

Complex Queries

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