{ "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)​​​​.

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In one operation, you will create a new array arr, and for each i:

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You will then assign arr​​​​ to perm.

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Return the minimum non-zero number of operations you need to perform on perm to return the permutation to its initial value.

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Example 1:

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\nInput: n = 2\nOutput: 1\nExplanation: perm = [0,1] initially.\nAfter the 1st operation, perm = [0,1]\nSo it takes only 1 operation.\n
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Example 2:

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\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
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Example 3:

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\nInput: n = 6\nOutput: 4\n
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Constraints:

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Compiled with clang 11 using the latest C++ 20 standard.

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Your code is compiled with level two optimization (-O2). AddressSanitizer is also enabled to help detect out-of-bounds and use-after-free bugs.

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Most standard library headers are already included automatically for your convenience.

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OpenJDK 17. Java 8 features such as lambda expressions and stream API can be used.

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Most standard library headers are already included automatically for your convenience.

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Python 2.7.12.

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For Map/TreeMap data structure, you may use sortedcontainers library.

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C# 10 with .NET 6 runtime

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Node.js 16.13.2.

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Ruby 3.1

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Some common data structure implementations are provided in the Algorithms module: https://www.rubydoc.info/github/kanwei/algorithms/Algorithms

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Python 3.10.

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