java.lang.Object
g0701_0800.s0798_smallest_rotation_with_highest_score.Solution

public class Solution extends java.lang.Object
798 - Smallest Rotation with Highest Score.

Hard

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.

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
  • Constructor Summary

    Constructors
    Constructor
    Description
     
  • Method Summary

    Modifier and Type
    Method
    Description
    int
    bestRotation(int[] nums)
     

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
  • Constructor Details

    • Solution

      public Solution()
  • Method Details

    • bestRotation

      public int bestRotation(int[] nums)