2020-2021 ICPC, NERC, Southern and Volga Russian Regional Contest (Online Mirror, ICPC Rules) |
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Finished |
You are given five integers $$$n$$$, $$$dx_1$$$, $$$dy_1$$$, $$$dx_2$$$ and $$$dy_2$$$. You have to select $$$n$$$ distinct pairs of integers $$$(x_i, y_i)$$$ in such a way that, for every possible pair of integers $$$(x, y)$$$, there exists exactly one triple of integers $$$(a, b, i)$$$ meeting the following constraints:
The first line contains a single integer $$$n$$$ ($$$1 \le n \le 10^5$$$).
The second line contains two integers $$$dx_1$$$ and $$$dy_1$$$ ($$$-10^6 \le dx_1, dy_1 \le 10^6$$$).
The third line contains two integers $$$dx_2$$$ and $$$dy_2$$$ ($$$-10^6 \le dx_2, dy_2 \le 10^6$$$).
If it is impossible to correctly select $$$n$$$ pairs of integers, print NO.
Otherwise, print YES in the first line, and then $$$n$$$ lines, the $$$i$$$-th of which contains two integers $$$x_i$$$ and $$$y_i$$$ ($$$-10^9 \le x_i, y_i \le 10^9$$$).
If there are multiple solutions, print any of them.
4 2 0 0 2
YES 0 0 0 1 1 0 1 1
5 2 6 1 5
NO
2 3 4 1 2
YES 0 0 0 1
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