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LeetCode 59. 螺旋矩阵 II #5

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Chocolate1999 opened this issue Sep 13, 2020 · 0 comments
Open

LeetCode 59. 螺旋矩阵 II #5

Chocolate1999 opened this issue Sep 13, 2020 · 0 comments
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递归与回溯 LeetCode 递归与回溯专栏

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@Chocolate1999
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仰望星空的人,不应该被嘲笑

题目描述

给定一个正整数 n,生成一个包含 1 到 n2 所有元素,且元素按顺时针顺序螺旋排列的正方形矩阵。

示例:

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

来源:力扣(LeetCode)
链接:https://leetcode-cn.com/problems/spiral-matrix-ii
著作权归领扣网络所有。商业转载请联系官方授权,非商业转载请注明出处。

解题思路

按照螺旋矩阵模拟即可,先从左到右,在从上到下,再从右到左,再从下到上。

每次进行cur++操作,直到累加到total为止。最后返回二维数组即可(没想到 js二维数组也是这样方便...)

/**
 * @param {number} n
 * @return {number[][]}
 */
var generateMatrix = function(n) {
    let top = 0, bottom =n-1
    let left = 0, right = n-1
    let res = []
    for(let i=0;i<n;i++) res[i] = []
    let cur = 1, total = n*n
    while(cur<=total){
        for(let i=left;i<=right;i++) res[top][i] = cur++  // 从左到右
        top++
        for(let i=top;i<=bottom;i++) res[i][right] = cur++ // 从上到下
        right--
        for(let i=right;i>=left;i--) res[bottom][i] = cur++ // 从右到左
        bottom--
        for(let i=bottom;i>=top;i--) res[i][left] = cur++ // 从下到上
        left++
    }
    return res
};

最后

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@Chocolate1999 Chocolate1999 added the 递归与回溯 LeetCode 递归与回溯专栏 label Sep 13, 2020
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