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English Version

题目描述

给定一个包含 m x n 个元素的矩阵(m 行, n 列),请按照顺时针螺旋顺序,返回矩阵中的所有元素。

示例 1:

输入:
[
 [ 1, 2, 3 ],
 [ 4, 5, 6 ],
 [ 7, 8, 9 ]
]
输出: [1,2,3,6,9,8,7,4,5]

示例 2:

输入:
[
  [1, 2, 3, 4],
  [5, 6, 7, 8],
  [9,10,11,12]
]
输出: [1,2,3,4,8,12,11,10,9,5,6,7]

解法

从外往里一圈一圈遍历并存储矩阵元素即可。

Python3

class Solution:
    def spiralOrder(self, matrix: List[List[int]]) -> List[int]:
        def add(i1, j1, i2, j2):
            if i1 == i2:
                return [matrix[i1][j] for j in range(j1, j2 + 1)]
            if j1 == j2:
                return [matrix[i][j1] for i in range(i1, i2 + 1)]
            return [matrix[i1][j] for j in range(j1, j2)] + [matrix[i][j2] for i in range(i1, i2)] + [matrix[i2][j] for j in range(j2, j1, -1)] + [matrix[i][j1] for i in range(i2, i1, -1)]
        if not matrix or not matrix[0]:
            return []
        m, n = len(matrix), len(matrix[0])
        i1, j1, i2, j2 = 0, 0, m - 1, n - 1
        res = []
        while i1 <= i2 and j1 <= j2:
            res += add(i1, j1, i2, j2)
            i1, j1, i2, j2 = i1 + 1, j1 + 1, i2 - 1, j2 - 1
        return res

Java

class Solution {
    private List<Integer> res;

    public List<Integer> spiralOrder(int[][] matrix) {
        int m, n;
        if (matrix == null || (m = matrix.length) == 0 || matrix[0] == null || (n = matrix[0].length) == 0)
            return Collections.emptyList();
        res = new ArrayList<>();
        int i1 = 0, i2 = m - 1;
        int j1 = 0, j2 = n - 1;
        while (i1 <= i2 && j1 <= j2) {
            add(matrix, i1++, j1++, i2--, j2--);
        }
        return res;
    }

    private void add(int[][] matrix, int i1, int j1, int i2, int j2) {
        if (i1 == i2) {
            for (int j = j1; j <= j2; ++j) {
                res.add(matrix[i1][j]);
            }
            return;
        }
        if (j1 == j2) {
            for (int i = i1; i <= i2; ++i) {
                res.add(matrix[i][j1]);
            }
            return;
        }
        for (int j = j1; j < j2; ++j) {
            res.add(matrix[i1][j]);
        }
        for (int i = i1; i < i2; ++i) {
            res.add(matrix[i][j2]);
        }
        for (int j = j2; j > j1; --j) {
            res.add(matrix[i2][j]);
        }
        for (int i = i2; i > i1; --i) {
            res.add(matrix[i][j1]);
        }
    }
}

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