{ "data": { "question": { "questionId": "1935", "questionFrontendId": "1806", "boundTopicId": null, "title": "Minimum Number of Operations to Reinitialize a Permutation", "titleSlug": "minimum-number-of-operations-to-reinitialize-a-permutation", "content": "
You are given an even integer n
. You initially have a permutation perm
of size n
where perm[i] == i
(0-indexed).
In one operation, you will create a new array arr
, and for each i
:
i % 2 == 0
, then arr[i] = perm[i / 2]
.i % 2 == 1
, then arr[i] = perm[n / 2 + (i - 1) / 2]
.You will then assign arr
to perm
.
Return the minimum non-zero number of operations you need to perform on perm
to return the permutation to its initial value.
\n
Example 1:
\n\n\nInput: n = 2\nOutput: 1\nExplanation: perm = [0,1] initially.\nAfter the 1st operation, perm = [0,1]\nSo it takes only 1 operation.\n\n\n
Example 2:
\n\n\nInput: n = 4\nOutput: 2\nExplanation: perm = [0,1,2,3] initially.\nAfter the 1st operation, perm = [0,2,1,3]\nAfter the 2nd operation, perm = [0,1,2,3]\nSo it takes only 2 operations.\n\n\n
Example 3:
\n\n\nInput: n = 6\nOutput: 4\n\n\n
\n
Constraints:
\n\n2 <= n <= 1000
n
is even.Compiled with clang 11
using the latest C++ 20 standard.
Your code is compiled with level two optimization (-O2
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Most standard library headers are already included automatically for your convenience.
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