10173_ElectricFence

2022-5-16 18:16| 发布者: Hocassian| 查看: 62| 评论: 0|原作者: 肇庆学院ACM合集

摘要:
C:\Users\Administrator\Downloads\2019-10-12-10-14-3-89504627781600-Problem List-采集的数据-后羿采集器.html

Pro.ID

10173

Title

Electric Fence

Title链接

http://10.20.2.8/oj/exercise/problem?problem_id=10173

AC

39

Submit

83

Ratio

46.99%

时间&空间限制

  • Time Limit: 4000/2000 MS (Java/Others)     Memory Limit: 65536/65536 K (Java/Others)
  • 描述

    In this problem, 'lattice points' in the plane are points with integer coordinates.

    In order to contain his cows, Farmer John constructs a triangular electric fence by stringing a "hot" wire from the origin (0, 0) to a lattice point [n, m] (0 ≤ n < 32000, 0 < m < 32000), then to a lattice point on the positive x axis [p, 0] ( p > 0 ), and then back to the origin (0, 0).

    A cow can be placed at each lattice point within the fence without touching the fence (very thin cows). Cows can not be placed on lattice points that the fence touches. How many cows can a given fence hold?

    输入

    Multiple test cases. Each case has a single input line contains three space-separated integers that denote n, m, and p.

    输出

    Description

    In this problem, 'lattice points' in the plane are points with integer coordinates.

    In order to contain his cows, Farmer John constructs a triangular electric fence by stringing a "hot" wire from the origin (0, 0) to a lattice point [n, m] (0 ≤ n < 32000, 0 < m < 32000), then to a lattice point on the positive x axis [p, 0] ( p > 0 ), and then back to the origin (0, 0).

    A cow can be placed at each lattice point within the fence without touching the fence (very thin cows). Cows can not be placed on lattice points that the fence touches. How many cows can a given fence hold?

    Input

    Multiple test cases. Each case has a single input line contains three space-separated integers that denote n, m, and p.

    Output

    For each case, output a single line with a single integer that represents the number of cows the specified fence can hold.

    Sample Input

    7 5 10

    Sample Output

    20

    Source

    样例输入

    7 5 10

    样例输出

    20

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