You are given an integer array nums and an integer maxC.
A subarray is called stable if the highest common factor (HCF) of all its elements is greater than or equal to 2.
The stability factor of an array is defined as the length of its longest stable subarray.
You may modify at most maxC elements of the array to any integer.
Return the minimum possible stability factor of the array after at most maxC modifications. If no stable subarray remains, return 0.
Note:
HCF([x]) = x.
Example 1:
Input: nums = [3,5,10], maxC = 1
Output: 1
Explanation:
[5, 10] has HCF = 5, which has a stability factor of 2.maxC = 1, one optimal strategy is to change nums[1] to 7, resulting in nums = [3, 7, 10].HCF >= 2. Thus, the minimum possible stability factor is 1.Example 2:
Input: nums = [2,6,8], maxC = 2
Output: 1
Explanation:
[2, 6, 8] has HCF = 2, which has a stability factor of 3.maxC = 2, one optimal strategy is to change nums[1] to 3 and nums[2] to 5, resulting in nums = [2, 3, 5].HCF >= 2. Thus, the minimum possible stability factor is 1.Example 3:
Input: nums = [2,4,9,6], maxC = 1
Output: 2
Explanation:
[2, 4] with HCF = 2 and stability factor of 2.[9, 6] with HCF = 3 and stability factor of 2.maxC = 1, the stability factor of 2 cannot be reduced due to two separate stable subarrays. Thus, the minimum possible stability factor is 2.
Constraints:
1 <= n == nums.length <= 1051 <= nums[i] <= 1090 <= maxC <= n