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10129_OrderedFractions

2022-5-16 18:16| 发布者: Hocassian| 查看: 98| 评论: 0|原作者: 肇庆学院ACM合集

摘要:

C:\Users\Administrator\Downloads\2019-10-12-10-14-3-89504580867600-Problem List-采集的数据-后羿采集器.html

Pro.ID

10129

Title

Ordered Fractions

Title链接

http://10.20.2.8/oj/exercise/problem?problem_id=10129

AC

131

Submit

221

Ratio

59.28%

时间&空间限制

Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/65536 K (Java/Others)

描述

Consider the set of all reduced fractions between 0 and 1 inclusive with denominators less than or equal to N.

Here is the set when N = 5:

0/1 1/5 1/4 1/3 2/5 1/2 3/5 2/3 3/4 4/5 1/1

Write a program that, given an integer N between 1 and 160 inclusive, prints the fractions in order of increasing magnitude.

输入

Mulitple test case, each case has one line with a single integer N.

输出

Description

Consider the set of all reduced fractions between 0 and 1 inclusive with denominators less than or equal to N.

Here is the set when N = 5:

0/1 1/5 1/4 1/3 2/5 1/2 3/5 2/3 3/4 4/5 1/1

Write a program that, given an integer N between 1 and 160 inclusive, prints the fractions in order of increasing magnitude.

Input

Mulitple test case, each case has one line with a single integer N.

Output

For each case, output the answer : one fraction per line, sorted in order of magnitude.

Output a blank line after each case.

Sample Input

5
4

Sample Output

0/1
1/5
1/4
1/3
2/5
1/2
3/5
2/3
3/4
4/5
1/1

0/1
1/4
1/3
1/2
2/3
3/4
1/1

Source

USACO training course

样例输入

5
4

样例输出