Clock

Time Limit: 2000/1000 MS (Java/Others)

Memory Limit: 65535/65535 K (Java/Others)

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Description

Given a time HH:MM:SS and one parameter $a$, you need to calculate next time satisfying following conditions:

1. The angle formed by the hour hand and the minute hand is $a$.
2. The time may not be a integer(e.g. 12:34:56.78), rounded down(the previous example 12:34:56).

Input

The input contains multiple test cases.

Each test case contains two lines.
The first line is the time HH:MM:SS$(0\leq HH<12,0\leq MM<60,0\leq SS<60)$.
The second line contains one integer $a(0\leq a\leq 180)$.

Output

For each test case, output a single line contains test case number and the answer HH:MM:SS.

Sample Input

0:59:59 30 01:00:00 30

Sample Output

Case #1: 01:00:00 Case #2: 01:10:54

Hint

liuyiding

Source

"巴卡斯杯" 中国大学生程序设计竞赛 - 女生专场

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