[Solution] Even Equal Odd CodeChef Solution

[Solution] Even Equal Odd CodeChef Solution | CodeChef Problem Solution 2022

You are given an array A$A$ consisting of 2⋅N$2\cdot N$ integers.

You can perform the following operation any number of times.

• Choose any i$i$ (1≤i≤2⋅N)$(1\le i\le 2\cdot N)$ such that Ai$A_i$ is even and divide Ai$A_i$ by 2$2$.
• Or choose any i$i$ (1≤i≤2⋅N)$(1\le i\le 2\cdot N)$ and multiply Ai$A_i$ by 2$2$.

Find the minimum number of operations required to make the number of even elements and number of odd elements in the array equal.

Input Format

• The first line contains a single integer T$T$ — the number of test cases. Then the test cases follow.

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• The first line of each test case contains an integer N$N$ — the size of the array A$A$ is 2⋅N$2\cdot N$.
• The second line of each test case contains 2⋅N$2\cdot N$ space-separated integers A1,A2,…,A2⋅N$A_1,A_2,\dots ,A_{2\cdot N}$ denoting the array A$A$.

Output Format

For each test case, output on a new line the minimum number of operations required to make the

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 number of even elements and number of odd elements in the array equal.

Constraints

• 1≤T≤105$1\le T\le {10}^5$
• 1≤N≤105$1\le N\le {10}^5$
• 1≤Ai≤109$1\le A_i\le {10}^9$
• The sum of N$N$ over all test cases is at most 105${10}^5$