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26982번 - Stall Reservations 스페셜 저지다국어

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문제

Oh those picky N (1 ≤ N ≤ 50,000) cows! They are so picky that each one will only be milked over some precise time interval A..B (1 ≤ A ≤ B ≤ 1,000,000), which includes both times A and B. Obviously, FJ must create a reservation system to determine which stall each cow can be assigned for her milking time. Of course, no cow will share such a private moment with other cows.

Help FJ by determining:

  • The minimum number of stalls required in the barn so that each cow can have her private milking period
  • An assignment of cows to these stalls over time

Many answers are correct for each test dataset; a program will grade your answer.

입력

  • Line 1: A single integer, N
  • Lines 2..N+1: Line i+1 describes cow i's milking interval with two space-separated integers.

출력

  • Line 1: The minimum number of stalls the barn must have.
  • Lines 2..N+1: Line i+1 describes the stall to which cow i will be assigned for her milking period.

제한

예제 입력 1

5
1 10
2 4
3 6
5 8
4 7

예제 출력 1

4
1
2
3
2
4

힌트

출처

Olympiad > USA Computing Olympiad > 2005-2006 Season > USACO February 2006 Contest > Silver ?번

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출처

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