Medium
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:
k
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.
Example 1:
Input: arr = [3,2,4,1]
Output: [4,2,4,3]
Explanation:
We perform 4 pancake flips, with k values 4, 2, 4, and 3.
Starting state: arr = [3, 2, 4, 1]
After 1st flip (k = 4): arr = [1, 4, 2, 3]
After 2nd flip (k = 2): arr = [4, 1, 2, 3]
After 3rd flip (k = 4): arr = [3, 2, 1, 4]
After 4th flip (k = 3): arr = [1, 2, 3, 4], which is sorted.
Example 2:
Input: arr = [1,2,3]
Output: []
Explanation: The input is already sorted, so there is no need to flip anything. Note that other answers, such as [3, 3], would also be accepted.
Constraints:
1 <= 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
).class Solution {
fun pancakeSort(arr: IntArray): List<Int> {
val result: MutableList<Int> = ArrayList()
for (i in arr.size downTo 1) {
var max = Int.MIN_VALUE
var index = 0
for (j in 0 until i) {
if (max < arr[j]) {
index = j + 1
max = arr[j]
}
}
result.add(index)
reverse(arr, index - 1)
result.add(i)
reverse(arr, i - 1)
}
return result
}
private fun reverse(arr: IntArray, index: Int) {
for (i in 0..(index - 1) / 2) {
val temp = arr[i]
arr[i] = arr[index - i]
arr[index - i] = temp
}
}
}