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Spiral matrix

curriculum/challenges/english/blocks/rosetta-code-challenges/5a23c84252665b21eecc801c.md

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--description--

Produce a spiral array. A spiral array is a square arrangement of the first N<sup>2</sup> natural numbers, where the numbers increase sequentially as you go around the edges of the array spiraling inwards. For example, given 5, produce this array:

<pre> 0 1 2 3 4 15 16 17 18 5 14 23 24 19 6 13 22 21 20 7 12 11 10 9 8 </pre>

--hints--

spiralArray should be a function.

js
assert(typeof spiralArray == 'function');

spiralArray(3) should return an array.

js
assert(Array.isArray(spiralArray(3)));

spiralArray(3) should return [[0, 1, 2],[7, 8, 3],[6, 5, 4]].

js
assert.deepEqual(spiralArray(3), [
  [0, 1, 2],
  [7, 8, 3],
  [6, 5, 4]
]);

spiralArray(4) should return [[0, 1, 2, 3],[11, 12, 13, 4],[10, 15, 14, 5],[9, 8, 7, 6]].

js
assert.deepEqual(spiralArray(4), [
  [0, 1, 2, 3],
  [11, 12, 13, 4],
  [10, 15, 14, 5],
  [9, 8, 7, 6]
]);

spiralArray(5) should return [[0, 1, 2, 3, 4],[15, 16, 17, 18, 5],[14, 23, 24, 19, 6],[13, 22, 21, 20, 7],[12, 11, 10, 9, 8]].

js
assert.deepEqual(spiralArray(5), [
  [0, 1, 2, 3, 4],
  [15, 16, 17, 18, 5],
  [14, 23, 24, 19, 6],
  [13, 22, 21, 20, 7],
  [12, 11, 10, 9, 8]
]);

--seed--

--seed-contents--

js
function spiralArray(n) {

}

--solutions--

js
function spiralArray(n) {
  var arr = Array(n),
    x = 0,
    y = n,
    total = n * n--,
    dx = 1,
    dy = 0,
    i = 0,
    j = 0;
  while (y) arr[--y] = [];
  while (i < total) {
    arr[y][x] = i++;
    x += dx;
    y += dy;
    if (++j == n) {
      if (dy < 0) {
        x++;
        y++;
        n -= 2;
      }
      j = dx;
      dx = -dy;
      dy = j;
      j = 0;
    }
  }
  return arr;
}