<p>Given an integer array <code>nums</code> and an integer <code>k</code>, return <em>the number of <strong>good</strong> subarrays of</em> <code>nums</code>.</p>

<p>A subarray <code>arr</code> is <strong>good</strong> if it there are <strong>at least </strong><code>k</code> pairs of indices <code>(i, j)</code> such that <code>i &lt; j</code> and <code>arr[i] == arr[j]</code>.</p>

<p>A <strong>subarray</strong> is a contiguous <strong>non-empty</strong> sequence of elements within an array.</p>

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

<pre>
<strong>Input:</strong> nums = [1,1,1,1,1], k = 10
<strong>Output:</strong> 1
<strong>Explanation:</strong> The only good subarray is the array nums itself.
</pre>

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

<pre>
<strong>Input:</strong> nums = [3,1,4,3,2,2,4], k = 2
<strong>Output:</strong> 4
<strong>Explanation:</strong> There are 4 different good subarrays:
- [3,1,4,3,2,2] that has 2 pairs.
- [3,1,4,3,2,2,4] that has 3 pairs.
- [1,4,3,2,2,4] that has 2 pairs.
- [4,3,2,2,4] that has 2 pairs.
</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], k &lt;= 10<sup>9</sup></code></li>
</ul>

class Solution:
    def countGood(self, nums: List[int], k: int) -> int:
        check = {}
        ans, l, r, count = 0, 0, 0, 0
        
        while r < len(nums):
            check[nums[r]] = check.get(nums[r], 0) + 1
            count += check[nums[r]] - 1

            while count >= k and l <= r:
                # the subarrays after this subarray are also valid because of this subarray being valid
                ans += len(nums) - r
                
                count -= check[nums[l]] - 1
                check[nums[l]] -= 1

                if check[nums[l]] == 0:
                    del check[nums[l]]
                l+=1

            r+=1

        return ans
537