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Time limit 2000/4000/4000/4000 ms. Memory limit 65000/65000/65000/65000 Kb.
Автор: Павел Кузнецов, ПГУ.
Many guests from various kingdoms were invited to a wedding of prince of
Byteland and princess of Bitland. After guests sat down the tables,
it turned out that N guests are not acquainted with each
other. One long table was prepared for them. During the celebration,
every man, sitting not at the edge, got acquainted with both neighbours
- from right and from left. Two guests, sitting at the two edges,
got acquainted with the only neighbour each, sitting near each of
them. Enough time has passed, and the host decides to start a game
for guests at that table. He knows who has got acquainted with
whom, and wants to choose K guests out of N, so that,
there must be M pairs of familiars among them. How many ways
to do this are there?
Input
The first line contains integer numbers N, K and M
(2 ≤ N ≤ 65; 2 ≤ K ≤ N; 0 ≤ M ≤ K-1).
Output
Output must contain the only number - the answer.
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Input 1
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Output 1
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3 2 0
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1
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Input 2
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Output 2
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5 3 1
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6
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Для отправки решений необходимо выполнить вход.
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