{ "data": { "question": { "questionId": "1009", "questionFrontendId": "969", "categoryTitle": "Algorithms", "boundTopicId": 2769, "title": "Pancake Sorting", "titleSlug": "pancake-sorting", "content": "
Given an array of integers arr
, sort the array by performing a series of pancake flips.
In one pancake flip we do the following steps:
\n\nk
where 1 <= k <= arr.length
.arr[0...k-1]
(0-indexed).For example, if arr = [3,2,1,4]
and we performed a pancake flip choosing k = 3
, we reverse the sub-array [3,2,1]
, so arr = [1,2,3,4]
after the pancake flip at k = 3
.
Return an array of the k
-values corresponding to a sequence of pancake flips that sort arr
. Any valid answer that sorts the array within 10 * arr.length
flips will be judged as correct.
\n
Example 1:
\n\n\nInput: arr = [3,2,4,1]\nOutput: [4,2,4,3]\nExplanation: \nWe perform 4 pancake flips, with k values 4, 2, 4, and 3.\nStarting state: arr = [3, 2, 4, 1]\nAfter 1st flip (k = 4): arr = [1, 4, 2, 3]\nAfter 2nd flip (k = 2): arr = [4, 1, 2, 3]\nAfter 3rd flip (k = 4): arr = [3, 2, 1, 4]\nAfter 4th flip (k = 3): arr = [1, 2, 3, 4], which is sorted.\n\n\n
Example 2:
\n\n\nInput: arr = [1,2,3]\nOutput: []\nExplanation: The input is already sorted, so there is no need to flip anything.\nNote that other answers, such as [3, 3], would also be accepted.\n\n\n
\n
Constraints:
\n\n1 <= arr.length <= 100
1 <= arr[i] <= arr.length
arr
are unique (i.e. arr
is a permutation of the integers from 1
to arr.length
).给你一个整数数组 arr
,请使用 煎饼翻转 完成对数组的排序。
一次煎饼翻转的执行过程如下:
\n\nk
,1 <= k <= arr.length
arr[0...k-1]
(下标从 0 开始)例如,arr = [3,2,1,4]
,选择 k = 3
进行一次煎饼翻转,反转子数组 [3,2,1]
,得到 arr = [1,2,3,4]
。
以数组形式返回能使 arr
有序的煎饼翻转操作所对应的 k
值序列。任何将数组排序且翻转次数在 10 * arr.length
范围内的有效答案都将被判断为正确。
\n\n
示例 1:
\n\n\n输入:[3,2,4,1]\n输出:[4,2,4,3]\n解释:\n我们执行 4 次煎饼翻转,k 值分别为 4,2,4,和 3。\n初始状态 arr = [3, 2, 4, 1]\n第一次翻转后(k = 4):arr = [1, 4, 2, 3]\n第二次翻转后(k = 2):arr = [4, 1, 2, 3]\n第三次翻转后(k = 4):arr = [3, 2, 1, 4]\n第四次翻转后(k = 3):arr = [1, 2, 3, 4],此时已完成排序。 \n\n\n
示例 2:
\n\n\n输入:[1,2,3]\n输出:[]\n解释:\n输入已经排序,因此不需要翻转任何内容。\n请注意,其他可能的答案,如 [3,3] ,也将被判断为正确。\n\n\n
\n\n
提示:
\n\n1 <= arr.length <= 100
1 <= arr[i] <= arr.length
arr
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到 arr.length
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