Code in java
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```java []\nimport java.util.Arrays;\n\nclass Solution {\n    public int bestRotation(int[] nums) {\n        int n = nums.length;\n        int[] change = new int[n]; // differential array to track score changes\n        \n        // Populate the differential array based on conditions\n        for (int i = 0; i < n; i++) {\n            int left = (i + 1) % n;\n            int right = (i - nums[i] + n + 1) % n;\n            change[left] += 1;\n            change[right] -= 1;\n            if (left > right) {\n                change[0] += 1;\n            }\n        }\n        \n        // Calculate the maximum score using the change array\n        int maxScore = 0;\n        int score = 0;\n        int bestK = 0;\n        \n        for (int k = 0; k < n; k++) {\n            score += change[k];\n            if (score > maxScore) {\n                maxScore = score;\n                bestK = k;\n            }\n        }\n        \n        return bestK;\n    }\n}\n\n```
['Java']