Count Islands Recursive HARD Recursion 50 XP 0 solved

Problem

Given an N x M matrix (2 ≀ N,M ≀ 10) of 0s and 1s, count the number of islands using recursion. An island is a group of 1s connected horizontally, vertically, or diagonally.

Input format

Input input.txt

- The first line contains two integers N and M - The next N lines each contain M integers (0 or 1)

Output format

Output output.txt

- The number of islands

Example

input
3 3
1 1 0
0 1 0
1 0 1
output
2

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