Given an array of positive integers nums
, remove the
smallest subarray (possibly empty) such that the
sum of the remaining elements is divisible by p
. It is
not allowed to remove the whole array.
Return the length of the smallest subarray that you need to remove,
or -1
if it's impossible.
A subarray is defined as a contiguous block of elements in the array.
Example 1:
Input: nums = [3,1,4,2], p = 6 Output: 1 Explanation: The sum of the elements in nums is 10, which is not divisible by 6. We can remove the subarray [4], and the sum of the remaining elements is 6, which is divisible by 6.
Example 2:
Input: nums = [6,3,5,2], p = 9 Output: 2 Explanation: We cannot remove a single element to get a sum divisible by 9. The best way is to remove the subarray [5,2], leaving us with [6,3] with sum 9.
Example 3:
Input: nums = [1,2,3], p = 3 Output: 0 Explanation: Here the sum is 6. which is already divisible by 3. Thus we do not need to remove anything.
Example 4:
Input: nums = [1,2,3], p = 7 Output: -1 Explanation: There is no way to remove a subarray in order to get a sum divisible by 7.
Example 5:
Input: nums = [1000000000,1000000000,1000000000], p = 3 Output: 0
Constraints:
1 <= nums.length <= 105
1 <= nums[i] <= 109
1 <= p <= 109