C++ || Easy to Understand ||
Intuition\n Describe your first thoughts on how to solve this problem. \n\n# Approach\n Describe your approach to solving the problem. \n\n# Complexity\n- Time 
# Intuition\n<!-- Describe your first thoughts on how to solve this problem. -->\n\n# Approach\n<!-- Describe your approach to solving the problem. -->\n\n# Complexity\n- Time complexity:\n<!-- Add your time complexity here, e.g. $$O(n)$$ -->\n\n- Space complexity:\n<!-- Add your space complexity here, e.g. $$O(n)$$ -->\n\n# Code\n```\nclass Solution {\npublic:\n    int reinitializePermutation(int n) {\n        // Initialize vectors for permutation \'p\', current state \'v\', and the original sorted order \'o\'\n        vector<int> p(n);   // permutation \'p\'\n        vector<int> v(n);   // current state\n        vector<int> o(n);   // original sorted order\n        \n        // Initialize permutation \'p\' and the original sorted order \'o\'\n        for (int i = 0; i < n; ++i) {\n            p[i] = i;   // permutation \'p\' initialized to identity permutation (0, 1, 2, ..., n-1)\n            o[i] = i;   // original sorted order (0, 1, 2, ..., n-1)\n        }\n        \n        int count = 0;  // Initialize count of steps taken\n        \n        // Continue until the current state \'v\' matches the original sorted order \'o\'\n        while (v != o) {\n            // Transform \'p\' to \'v\' according to the specified rules\n            for (int i = 0; i < n; ++i) {\n                if (i % 2 == 0) {\n                    v[i] = p[i / 2];    // If index is even, take value from p[i/2]\n                } else {\n                    v[i] = p[n / 2 + (i - 1) / 2];   // If index is odd, take value from p[n/2 + (i-1)/2]\n                }\n            }\n            \n            ++count;    // Increment the count of steps\n            \n            p = v;  // Update permutation \'p\' to current state \'v\' for the next iteration\n        }\n        \n        return count;   // Return the number of steps taken to reinitialize the permutation\n    }\n};\n\n```
['C++']