Mr. Zero has a matrix Z consisting of m rows and n columns. The rows are numbered from 1 to m, columns are numbered from 1 to n. Element at row i (1 ≤ i ≤ m) and column j (1 ≤ j ≤ n) is denoted as Zij. All elements of Z are either 0 or 1.
Mr. Zero gives you a task. You need to calculate how many positions are in the matrix Z where all elements of ith row and jth column contain 0.
The first line contains two integer m and n (1 ≤ m, n ≤ 1000), number of rows and number of columns of matrices respectively.
The next m lines each contain n integers separated by spaces describing rows of matrix Z (each element of Z is either 0 or 1).
In the first line, print the desired output.
3 3 1 0 0 0 0 0 1 0 0
In the sample case:
All elements of second row and second column contain 0.
All elements of second row and third column contain 0.