<p>You are given two <strong>0-indexed</strong> integer arrays <code>nums1</code> and <code>nums2</code> of even length <code>n</code>.</p>

<p>You must remove <code>n / 2</code> elements from <code>nums1</code> and <code>n / 2</code> elements from <code>nums2</code>. After the removals, you insert the remaining elements of <code>nums1</code> and <code>nums2</code> into a set <code>s</code>.</p>

<p>Return <em>the <strong>maximum</strong> possible size of the set</em> <code>s</code>.</p>

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

<pre>
<strong>Input:</strong> nums1 = [1,2,1,2], nums2 = [1,1,1,1]
<strong>Output:</strong> 2
<strong>Explanation:</strong> We remove two occurences of 1 from nums1 and nums2. After the removals, the arrays become equal to nums1 = [2,2] and nums2 = [1,1]. Therefore, s = {1,2}.
It can be shown that 2 is the maximum possible size of the set s after the removals.
</pre>

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

<pre>
<strong>Input:</strong> nums1 = [1,2,3,4,5,6], nums2 = [2,3,2,3,2,3]
<strong>Output:</strong> 5
<strong>Explanation:</strong> We remove 2, 3, and 6 from nums1, as well as 2 and two occurrences of 3 from nums2. After the removals, the arrays become equal to nums1 = [1,4,5] and nums2 = [2,3,2]. Therefore, s = {1,2,3,4,5}.
It can be shown that 5 is the maximum possible size of the set s after the removals.
</pre>

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

<pre>
<strong>Input:</strong> nums1 = [1,1,2,2,3,3], nums2 = [4,4,5,5,6,6]
<strong>Output:</strong> 6
<strong>Explanation:</strong> We remove 1, 2, and 3 from nums1, as well as 4, 5, and 6 from nums2. After the removals, the arrays become equal to nums1 = [1,2,3] and nums2 = [4,5,6]. Therefore, s = {1,2,3,4,5,6}.
It can be shown that 6 is the maximum possible size of the set s after the removals.
</pre>

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

<ul>
	<li><code>n == nums1.length == nums2.length</code></li>
	<li><code>1 &lt;= n &lt;= 2 * 10<sup>4</sup></code></li>
	<li><code>n</code> is even.</li>
	<li><code>1 &lt;= nums1[i], nums2[i] &lt;= 10<sup>9</sup></code></li>
</ul>

class Solution:
    def maximumSetSize(self, nums1: List[int], nums2: List[int]) -> int:
        s1 = set()
        s2 = set()
        n = len(nums1)
        for i in range(n):
            s1.add(nums1[i])
            s2.add(nums2[i])
        _nums1 = [False]*n
        _nums2 = [False]*n
        for i in range(n):
            if nums1[i] in s2:
                _nums1[i]=True
            if nums2[i] in s1:
                _nums2[i]=True
        s = set()
        cn1 = 0
        cn2 = 0
        for i in range(n):
            if not _nums1[i] and cn1<n/2 and nums1[i] not in s: 
                s.add(nums1[i])
                cn1+=1
            if not _nums2[i] and cn2<n/2 and nums2[i] not in s: 
                s.add(nums2[i])
                cn2+=1
        for i in range(n):
            if cn1<n/2 and nums1[i] not in s:
                cn1+=1
                s.add(nums1[i])
            if cn2<n/2 and nums2[i] not in s:
                cn2+=1
                s.add(nums2[i])
        return len(s)

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