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MultiDimensional Arrays

Problem Description

A multidimensional array is an array of arrays. Each element of a multidimensional array is an array itself. For example,

int[][] arr = new int[3][4];

Here, we have created a multidimensional array named arr. It is a 2-dimensional array, that can hold a maximum of 12 elements,

Remember, Java uses zero-based indexing, that is, indexing of arrays in Java starts with 0 and not 1.

Let's take another example of the multidimensional array. This time we will be creating a 3-dimensional array.

For example:

String[][][] names = new String[3][4][2];

Here, data is a 3d array that can hold a maximum of 24 (3 * 4 * 2) elements of type String.

Task:

Take 2D matrix A of size N X M as an input and print M integers denoting the column-wise sum of each of the M columns.


Problem Constraints

1 <= N, M <= 103

1 <= A[i][j] <= 100


Input Format

First line contains two space-separated integers N and M.

Each of the next N lines contains M space-separated integers denoting the matrix elements.


Output Format

Print M space-separated integers where each denoting the column-wisw sum of A.


Example Input

Input 1:

 3 4
 3 2 1 3
 1 2 3 4
 4 3 1 2


Example Output

Output 1:

 8 7 5 9


Example Explanation

Explanation 1:

 Sum of elements of first column : 3 + 1 + 4 = 8
 Sum of elements of second column : 2 + 2 + 3 = 7
 Sum of elements of third column : 1 + 3 + 1 = 5
 Sum of elements of fourth column : 3 + 4 + 2 = 9

 

 



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