【LeetCode:遞迴與回溯】:54.螺旋矩陣
阿新 • • 發佈:2021-01-26
技術標籤:LeetCode
54.螺旋矩陣
難度:中等
給定一個包含 m x n 個元素的矩陣(m 行, n 列),請按照順時針螺旋順序,返回矩陣中的所有元素。
示例 1:
輸入:
[
[ 1, 2, 3 ],
[ 4, 5, 6 ],
[ 7, 8, 9 ]
]
輸出: [1,2,3,6,9,8,7,4,5]
示例 2:
輸入:
[
[1, 2, 3, 4],
[5, 6, 7, 8],
[9,10,11,12]
]
輸出: [1,2,3,4,8,12,11,10,9,5,6,7]
題解
/**
* @param {number[][]} matrix
* @return {number[]}
*/
var spiralOrder = function (matrix) {
if (matrix.length == 0) return [];
const res = [];
let top = 0, bottom = matrix.length - 1, left = 0, right = matrix[0].length - 1
while (top <= bottom && left <= right) {
for (let i = left; i <= right; i++)
res.push(matrix[top][i] )
top++;
for (let i = top; i <= bottom; i++)
res.push(matrix[i][right])
right--;
if (top > bottom || left > right)
break;
for (let i = right; i >= left; i--)
res.push(matrix[bottom][i])
bottom--;
for (let i = bottom; i >= top; i--)
res. push(matrix[i][left])
left++;
}
return res;
};
分析
由題可知遍歷順序為順時針,而且可知
上邊界 top : 0
下邊界 bottom : matrix.length - 1
左邊界 left : 0
右邊界 right : matrix[0].length - 1
遍歷且需滿足
top<=bottom && left<=right;
當遍歷完上、左邊界,邊界值加1
遍歷完下、右邊界,邊界值減1