There is a 4-dimensional array X, each index of which is in interval from 1 to N. Your task is to construct new 4-dimensional array Y , elements of which can be calculated using the next formula: Y [i₁, i₂, i₃, i₄] = min(X[j₁, j₂, j₃, j₄]), where 1 ≤ i_k ≤ N − M + 1, i_k ≤ j_k ≤ i_k + M − 1, and M is given.

입력 형식

First line of the input file contains N and M (1 ≤ M ≤ N). Next lines of the input file contain elements of array X. The number of elements will be not more than 1500000 and elements will be integers not exceeding 10⁹ by absolute value. They are given in such order, that the array can be read using following pseudocode:</p>

for i = 1 to N:
    for j = 1 to N:
        for k = 1 to N:
            for l = 1 to N:
                read X[i, j, k, l]

Output array Y in the same format as the X was given.

예제 입력 1

1 1
1

예제 출력 1

1

예제 입력 2

3 2
3 1 4 -4 0 4 0 0 -3 0 -2 -5 5 3 5 -4 4 -3 -5 -4 -4 5 -1 0 -3 -2 -1 2 -5 -5 -1 1 1 -4 3 5 3 -3 -3 3 0 1 4 -1 -2 3 -2 5 4 -1 -5 3 -4 0 -3 -1 3 -1 4 4 -1 -5 -3 4 -4 5 1 5 -4 3 2 2 -2 -2 4 2 -4 -3 1 3 1

예제 출력 2

-5 -5 -4 -3 -5 -5 -4 -5 -5 -5 -5 -5 -4 -5 -4 -5