<p>Given an array of positive integers <code>nums</code>, remove the <strong>smallest</strong> subarray (possibly <strong>empty</strong>) such that the <strong>sum</strong> of the remaining elements is divisible by <code>p</code>. It is <strong>not</strong> allowed to remove the whole array.</p>

<p>Return <em>the length of the smallest subarray that you need to remove, or </em><code>-1</code><em> if it&#39;s impossible</em>.</p>

<p>A <strong>subarray</strong> is defined as a contiguous block of elements in the array.</p>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>

<pre>
<strong>Input:</strong> nums = [3,1,4,2], p = 6
<strong>Output:</strong> 1
<strong>Explanation:</strong> 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.
</pre>

<p><strong class="example">Example 2:</strong></p>

<pre>
<strong>Input:</strong> nums = [6,3,5,2], p = 9
<strong>Output:</strong> 2
<strong>Explanation:</strong> 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.
</pre>

<p><strong class="example">Example 3:</strong></p>

<pre>
<strong>Input:</strong> nums = [1,2,3], p = 3
<strong>Output:</strong> 0
<strong>Explanation:</strong> Here the sum is 6. which is already divisible by 3. Thus we do not need to remove anything.
</pre>

<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li><code>1 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>
	<li><code>1 &lt;= nums[i] &lt;= 10<sup>9</sup></code></li>
	<li><code>1 &lt;= p &lt;= 10<sup>9</sup></code></li>
</ul>

def fun(nums, n, p):
    targetRemainder = sum(nums) % p
    if targetRemainder == 0:
        return 0

    prefixSum = [0 for _ in range(n)]
    prefixSum[0] = nums[0]%p
    for i in range(1, n):
        prefixSum[i] = (prefixSum[i-1] + nums[i]) % p

    myDict, minLength = dict(), float('inf')
    for i in range(n):
      complementRemainder = (prefixSum[i] - targetRemainder) % p

      if complementRemainder == 0:
        minLength = min(minLength, i+1)

      if complementRemainder in myDict:
        minLength = min(minLength, i - myDict[complementRemainder])
      
      myDict[prefixSum[i]] = i
 
    return minLength if minLength < n else -1

class Solution:
    def minSubarray(self, nums: List[int], p: int) -> int:
        return fun(nums, len(nums), p)
400