minimum-operations-to-make-array-values-equal-to-k

minimum-operations-to-make-array-values-equal-to-k


You are given an integer array nums and an integer k.



An integer h is called valid if all values in the array that are strictly greater than h are identical.



For example, if nums = [10, 8, 10, 8], a valid integer is h = 9 because all nums[i] > 9 are equal to 10, but 5 is not a valid integer.



You are allowed to perform the following operation on nums:




  • Select an integer h that is valid for the current values in nums.

  • For each index i where nums[i] > h, set nums[i] to h.



Return the minimum number of operations required to make every element in nums equal to k. If it is impossible to make all elements equal to k, return -1.



 


Example 1:




Input: nums = [5,2,5,4,5], k = 2



Output: 2



Explanation:



The operations can be performed in order using valid integers 4 and then 2.




Example 2:




Input: nums = [2,1,2], k = 2



Output: -1



Explanation:



It is impossible to make all the values equal to 2.




Example 3:




Input: nums = [9,7,5,3], k = 1



Output: 4



Explanation:



The operations can be performed using valid integers in the order 7, 5, 3, and 1.




 


Constraints:




  • 1 <= nums.length <= 100

  • 1 <= nums[i] <= 100

  • 1 <= k <= 100


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