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子集-78 #71

@sl1673495

Description

@sl1673495

给定一组不含重复元素的整数数组 nums,返回该数组所有可能的子集(幂集)。

说明:解集不能包含重复的子集。

示例:

输入: nums = [1,2,3]
输出:
[
  [3],
  [1],
  [2],
  [1,2,3],
  [1,3],
  [2,3],
  [1,2],
  []
]

来源:力扣(LeetCode)
链接:https://leetcode-cn.com/problems/subsets
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。

思路

求子集,其实可以转化为在数组中,求长度从 1 ~ nums.length 的每种长度下的全部组合。

那么定义 helper 函数,接受的参数为 start 起点, prev 之前拼成的数组,targetLength 目标长度。在这个递归过程中,目标长度是不变的。只需要 prev 的长度和 targetLength 相等,即可完成一个结果放入 res 数组中。

最后,针对 targetLength1 ~ nums.length ,分别调用 helper 函数即可:

/**
 * @param {number[]} nums
 * @return {number[][]}
 */
let subsets = function (nums) {
  let res = []
  let n = nums.length
  if (n === 0) {
    return res
  }

  let helper = (start, prev, targetLength) => {
    if (start > n) {
      return
    }
    if (prev.length === targetLength) {
      res.push(prev)
      return
    }

    for (let i = start; i < n; i++) {
      let cur = nums[i]
      helper(i + 1, prev.concat(cur), targetLength)
    }
  }

  for (let j = 1; j <= nums.length; j++) {
    helper(0, [], j)
  }

  return [[], ...res]
}

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