# 798. Smallest Rotation with Highest Score LeetCode Solution Share:

Smallest Rotation with Highest Score You are given an array `nums`. You can rotate it by a non-negative integer `k` so that the array becomes `[nums[k], nums[k + 1], ... nums[nums.length - 1], nums, nums, ..., nums[k-1]]`. Afterward, any entries that are less than or equal to their index are worth one point.

• For example, if we have `nums = [2,4,1,3,0]`, and we rotate by `k = 2`, it becomes `[1,3,0,2,4]`. This is worth `3` points because `1 > 0` [no points], `3 > 1` [no points], `0 <= 2` [one point], `2 <= 3` [one point], `4 <= 4` [one point].

Return the rotation index `k` that corresponds to the highest score we can achieve if we rotated `nums` by it. If there are multiple answers, return the smallest such index `k`.

Example 1:

```Input: nums = [2,3,1,4,0]
Output: 3
Explanation: Scores for each k are listed below:
k = 0,  nums = [2,3,1,4,0],    score 2
k = 1,  nums = [3,1,4,0,2],    score 3
k = 2,  nums = [1,4,0,2,3],    score 3
k = 3,  nums = [4,0,2,3,1],    score 4
k = 4,  nums = [0,2,3,1,4],    score 3
So we should choose k = 3, which has the highest score.
```

Example 2:

```Input: nums = [1,3,0,2,4]
Output: 0
Explanation: nums will always have 3 points no matter how it shifts.
So we will choose the smallest k, which is 0.
```

Constraints:

• `1 <= nums.length <= 105`
• `0 <= nums[i] < nums.length`

Time: O(n)
Space: O(n)

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