Matrix arrangement issues in php

Question

I would like to know some solutions to such a problem.

It is given a number lets say 16 and you have to arrange a matrix this way

1  2  3  4
12 13 14 5
         


        

Answer 1

In python:

from numpy import *

def spiral(N):
    A = zeros((N,N), dtype='int')
    vx, vy = 0, 1 # current direction
    x, y = 0, -1 # current position
    c = 1
    Z = [N] # Z will contain the number of steps forward before changing direction
    for i in range(N-1, 0, -1):
        Z += [i, i]
    for i in range(len(Z)):
        for j in range(Z[i]):
            x += vx
            y += vy
            A[x, y] = c
            c += 1
        vx, vy = vy, -vx
    return A

print spiral(4)