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Hard1-D Dynamic ProgrammingLC 798

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[0], nums[1], ..., 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.

Hints
  • 1.Think about which data structure fits best
  • 2.Consider the time complexity of your approach
  • 3.Look for patterns in the constraints
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