In a container terminal, such as the Hong Kong Container Terminal, the bottleneck of the traffic is often at the quay. Therefore, the terminal operator has to allocate a limited number of berths of the quay to vessels in an efficient way.

As illustrate in Figure 1 below, consider a container terminal of `n` berths and `m` vessels arrived, where each vessel `i` (for `i` = 1, 2, ..., `m`) requires a berth to load and unload containers, and the handling time is `t _{i, j}` if berth

Figure 1. An illustrated example, with a quay of `n` = 5 berths, `m` = 7 vessels, where two vessels are waiting outside the quay.

First line of the input is an integer `T` indicating the number of test cases. For each case, the first line contains two integers `n` and `m` (1 ≤ `n` ≤ 50, 1 ≤ `m` ≤ 200). Each of the following `m` lines contains `n` positive integers representing vessel `i`'s handling times `t _{i, 1}`,

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