22874_GameofLines

2022-5-16 18:23| 发布者: Hocassian| 查看: 30| 评论: 0|原作者: 肇庆学院ACM合集

摘要:
C:\Users\Administrator\Downloads\2019-10-12-10-14-5-8950738948800-Problem List-采集的数据-后羿采集器.html

Pro.ID

22874

Title

Game of Lines

Title链接

http://10.20.2.8/oj/exercise/problem?problem_id=22874

AC

17

Submit

55

Ratio

30.91%

时间&空间限制

  • Time Limit: 1000/500 MS (Java/Others)     Memory Limit: 65536/65536 K (Java/Others)
  • 描述

    Farmer John has challenged Bessie to the following game: FJ has a board with dots marked at N (2 ≤ N ≤ 200) distinct lattice points. Dotihas the integer coordinates Xi and Yi (-1,000 ≤ Xi ≤ 1,000; -1,000 ≤ Yi ≤ 1,000).

    Bessie can score a point in the game by picking two of the dots and drawing a straight line between them; however, she is not allowed to draw a line if she has already drawn another line that is parallel to that line. Bessie would like to know her chances of winning, so she has asked you to help find the maximum score she can obtain.

    输入

    * Line 1: A single integer: N

    * Lines 2..N+1: Line i+1 describes lattice point i with two space-separated integers: Xi and Yi.

    输出

    Description

    Farmer John has challenged Bessie to the following game: FJ has a board with dots marked at N (2 ≤ N ≤ 200) distinct lattice points. Dotihas the integer coordinates Xi and Yi (-1,000 ≤ Xi ≤ 1,000; -1,000 ≤ Yi ≤ 1,000).

    Bessie can score a point in the game by picking two of the dots and drawing a straight line between them; however, she is not allowed to draw a line if she has already drawn another line that is parallel to that line. Bessie would like to know her chances of winning, so she has asked you to help find the maximum score she can obtain.

    Input

    * Line 1: A single integer: N

    * Lines 2..N+1: Line i+1 describes lattice point i with two space-separated integers: Xi and Yi.

    Output

    Line 1: A single integer representing the maximal number of lines Bessie can draw, no two of which are parallel.

    Sample Input

    4
    -1 1
    -2 0
    0 0
    1 1

    Sample Output

    4

    Source

    样例输入

    4
    -1 1
    -2 0
    0 0
    1 1

    样例输出

    4

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