CF1184C3.Heidi and the Turing Test (Hard)

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The first line contains an integer $k$ ( $1 \leq k \leq 4$ ), the number of rings.

The second line contains an integer $n$ ( $100 \leq n \leq 1\,000$ ), the number of samples per ring.

The following $n \times k$ lines contain the samples, one sample per line.

Each line contains a pair of integers $x_i, y_i$ , where $(x_i, y_i)$ are the coordinates of the $i$ -th sample.

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Here is how one of tests with $k=4$ and $n=100$ looks like.

You can download the sample input and output here.

Here is how one of tests with $k=4$ and $n=100$ looks like.

You can download the sample input and output here.