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数组全排列

IT之一小佬 发布时间:2021-09-29 21:46:00 ,浏览量:1

        给定一个不含重复数字的数组 nums ,返回其 所有可能的全排列 。你可以 按任意顺序 返回答案。

示例 1:

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

示例 2:

输入:nums = [0,1]
输出:[[0,1],[1,0]]

示例 3:

输入:nums = [1]
输出:[[1]]

示例代码1:

def permute(nums):
    ret = []

    def backtrace(li, tmp):
        if not li:
            ret.append(tmp)
            return
        for i in range(len(li)):
            backtrace(li[:i] + li[i + 1:], tmp + [li[i]])

    backtrace(nums, [])
    return ret


ans = permute([1, 2, 3])
print(ans)

示例代码2:

def permute(nums):
    def backtrace(first=0):
        # 所有数都填完了
        if first == n:
            res.append(nums[:])
        for i in range(first, n):
            # 动态维护数组
            nums[first], nums[i] = nums[i], nums[first]
            # 继续递归填下一个数
            backtrace(first + 1)
            # 撤销操作
            nums[first], nums[i] = nums[i], nums[first]

    n = len(nums)
    res = []
    backtrace()
    return res


ans = permute([1, 2, 3])
print(ans)

 

示例代码3:

class Solution(object):
    def permute(self, nums):
        n = len(nums)
        res, path, tmp = [], [], [False] * n

        def traceback():
            if len(path) == n:
                res.append(path[:])
                return
            for i in range(n):
                if tmp[i]:
                    continue
                path.append(nums[i])
                tmp[i] = True
                traceback()
                path.pop()
                tmp[i] = False

        traceback()
        return res


nums = [1, 2, 3]
obj = Solution()
ret = obj.permute(nums)
print(ret)

示例代码4:

class Solution(object):
    def permute(self, nums):
        n = len(nums)
        ret, path = [], []

        def backtrace():
            if len(path) == n:
                ret.append(path[:])
                return
            for i in range(n):
                if nums[i] in path:
                    continue
                path.append(nums[i])
                backtrace()
                path.pop()

        backtrace()
        return ret


nums = [1, 2, 3]
obj = Solution()
ret = obj.permute(nums)
print(ret)
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