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Friday 8 July 2022

[Solution] Schedule Management Codeforces Solution


C. Schedule Management
time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

There are n workers and m tasks. The workers are numbered from 1 to n. Each task i has a value ai — the index of worker who is proficient in this task.

Every task should have a worker assigned to it. If a worker is proficient in the task, they complete it in 1 hour. Otherwise, it takes them 2 hours.

The workers work in parallel, independently of each other. Each worker can only work on one task at once.

Assign the workers to all tasks in such a way that the tasks are completed as early as possible. The work

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 starts at time 0. What's the minimum time all tasks can be completed by?

Input

The first line contains a single integer t (1t104) — the number of testcases.

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The first line of each testcase contains two integers n and m (1nm2105) — the number of workers and the number of tasks.

The second line contains m integers a1,a2,,am (1ain) — the index of the worker proficient in the i-th task.

The sum of m over all testcases doesn't exceed 2105.

Output

For each testcase, print a single integer — the minimum time all tasks can be completed by.

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