[Solution] Make them Zero CodeChef Solution | CodeChef Problem Solution 2022

[Solution] Make them Zero CodeChef Solution | CodeChef Problem Solution 2022

You are given an array A$A$ of length N$N$.

You can perform the following operation on the array any number of times:

• Choose any subsequence S$S$ of the array A$A$ and a positive integer X$X$ such that X$X$ is a power of 2$2$ and subtract X$X$ from all the elements of the subsequence S$S$.

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Find the minimum number of operations required to make all the elements of the array equal to 0$0$.

Input Format

• First line will contain T$T$, number of test cases. Then the test cases follow.
• First line of each test case contains an integer N$N$ denoting the length of the array A$A$.

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• Second line contains N$N$ space-separated integers A1,A2,…,AN$A_1,A_2,\dots ,A_N$ - denoting the elements of array A$A$.

Output Format

For each test case, output in a single line, the minimum number of moves required to make all the elements of the array A$A$ equal to 0$0$.

Constraints

• 1≤T≤1000$1\le T\le 1000$
• 1≤N≤105$1\le N\le {10}^5$
• 0≤Ai≤109$0\le A_i\le {10}^9$
• Sum of N$N$ over all test cases do not exceed 2⋅105$2\cdot {10}^5$.