Pillars

hard

Unknown

Question Solve Solutions

&lt;a href="https://codeforces.com/contest/474/problem/E"&gt;https://codeforces.com/contest/474/problem/E&lt;/a&gt;

Input Format

.

Output Format

.

Constraints

Notice

.

Example

Input

10 3
2 1 3 6 9 11 7 3 20 18

Output

6
1 4 6 7 8 9

Matrix Cells In Distance Order

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