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50489 - Football Championship

Задачи раздела

• 50285 - Meat store
• 50279 - Bit Decoder
• 50284 - Knights of the Rook
• 50282 - Coins
• 50281 - Primes
• 50287 - Providers
• 51004 - Word Search Game
• 50430 - ATM
• 50489 - Football Championship
• 50391 - Cinema Tickets
• 50820 - Post Office
• 50810 - Print Office
• 50952 - Derby Tirana
• 50443 - Dajte Express
• 50819 - Linked Numbers
• 50519 - Image Filtering
• 50798 - Passing the course

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Лимит времени 2000/4000/4000/4000 мс. Лимит памяти 65000/65000/65000/65000 Кб.
Translated by Muhamed Keta.

Football Championship

Question: In a certain football championship there are n teams. Every season, every team has a match with any other team exactly once. A season consists of $n - 1$ turns. It’s a way of doing things for a team not to have two consecutive matches in the same place (home, or away). Frankly this isn’t always possible. They didn’t have any idea what to do so they sought your help to minimize the number of consecutive times every squad plays at the same position, and give them a possible calendar for their next championship.

Input specification
A number n, denoting the number of teams playing where 2 ≤ n ≤ 1000; and n is even

Output specification
On the first line, show the minimum number of matches the squads can play consecutively on different positions. On the next n - 1 lines show any possible calendar which satisfies the previously calculated number. Each line consists of n/2 pairs of numbers 1...n, denoting the teams. Each of these pairs of form (u, v) means that team U, plays home and team V plays away.

Sample Input I   
2
Sample Input II   
4
Sample Output I   
0
1 2
Sample Output II   
2
1 2 3 4
1 4 2 3
1 3 4 2


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