minimum-pair-removal-to-sort-array-i

minimum-pair-removal-to-sort-array-i


Given an array nums, you can perform the following operation any number of times:




  • Select the adjacent pair with the minimum sum in nums. If multiple such pairs exist, choose the leftmost one.

  • Replace the pair with their sum.



Return the minimum number of operations needed to make the array non-decreasing.



An array is said to be non-decreasing if each element is greater than or equal to its previous element (if it exists).



 


Example 1:




Input: nums = [5,2,3,1]



Output: 2



Explanation:




  • The pair (3,1) has the minimum sum of 4. After replacement, nums = [5,2,4].

  • The pair (2,4) has the minimum sum of 6. After replacement, nums = [5,6].



The array nums became non-decreasing in two operations.




Example 2:




Input: nums = [1,2,2]



Output: 0



Explanation:



The array nums is already sorted.




 


Constraints:




  • 1 <= nums.length <= 50

  • -1000 <= nums[i] <= 1000


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