1355_GameofLines

2022-5-16 18:17| 发布者: Hocassian| 查看: 47| 评论: 0|原作者: 肇庆学院ACM合集

摘要:
C:\Users\Administrator\Downloads\2019-10-12-10-14-2-89503811756500-Problem List-采集的数据-后羿采集器.html

Pro.ID

1355

Title

Game of Lines

Title链接

http://10.20.2.8/oj/exercise/problem?problem_id=1355

AC

21

Submit

123

Ratio

17.07%

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. Dot i has the integer coordinates Xi and Yi ( -1000 ≤ Xi ≤ 1000; -1000 ≤ Yi ≤ 1000 ).

    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

    多测试用例。每个测试用例:

    * 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. Dot i has the integer coordinates Xi and Yi ( -1000 ≤ Xi ≤ 1000; -1000 ≤ Yi ≤ 1000 ).

    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

    多测试用例。每个测试用例:

    * 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

    每个测试用例输出一行:   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

    Hint

    本题请用 hash 来做。

    Source

    样例输入

    4
    -1 1
    -2 0
    0 0
    1 1

    样例输出

    4

    提示

    本题请用 hash 来做。


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