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).
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 $a(0\leq a\leq 180)$.
For each test case, output a single line contains test case number and the answer HH:MM:SS.