54. Spiral Matrix

Math

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class Solution {
public List<Integer> spiralOrder(int[][] matrix) {
List<Integer> result = new ArrayList<>();
if (matrix == null || matrix.length == 0) return result;

int top = 0, bottom = matrix.length - 1;
int left = 0, right = matrix[0].length - 1;

while (top <= bottom && left <= right) {
// left -> right
for (int i = left; i <= right; i++) {
result.add(matrix[top][i]);
}
top++;

// top -> btn
for (int i = top; i <= bottom; i++) {
result.add(matrix[i][right]);
}
right--;

if (top <= bottom) {
// right -> left
for (int i = right; i >= left; i--) {
result.add(matrix[bottom][i]);
}
bottom--;
}

if (left <= right) {
// btn -> top
for (int i = bottom; i >= top; i--) {
result.add(matrix[i][left]);
}
left++;
}
}

return result;
}
}

Remarks:

  1. TC: $O(m\times n)$; SC: $O(1)$