Description

A rectangular array consists of numbers from $0$ to $9$. The numbers $1$ to $9$ represent cells. A cell is defined as follows: if the digits above, below, to the left, or to the right of a cell digit are also cell digits, they belong to the same cell. Given a rectangular array, determine the number of cells. For example, in the array:

4 10
0234500067
1034560500
2045600671
0000000089

Input Format

The first line contains the number of rows $n$ and columns $m$ of the matrix.
The following lines represent an $n \times m$ matrix.

Output Format

The number of cells.

4 10
0234500067
1034560500
2045600671
0000000089

4 10
0234500067
1034560500
2045600671
0000000089