Row Column Unique Sum HARD Arrays 50 XP 0 solved

Problem

Given a matrix, print the sum of all elements that are unique in both their row and their column.

Input format

Input input.txt

- Two integers N, M (1 ≀ N, M ≀ 20) - N rows with M integers

Output format

Output output.txt

- The sum.

Example

input
3 3
1 2 3
2 2 4
1 4 5
output
5

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