Problem Description

A broken clock shows the wrong time and gains or loses a fixed number of minutes every hour. Given the current wrong time displayed, the rate of gain/loss per hour, and the number of hours that have passed, determine what the real current time should be.

Input Format

Three lines: 1) Wrong time in HH:MM format (24-hour), 2) Minutes gained/lost per hour (positive for gain, negative for loss), 3) Number of hours passed.

Output Format

The real current time in HH:MM format (24-hour).

Constraints

• Time format: 00:00 to 23:59

• -60 ≤ gain/loss per hour ≤ 60

• 0 ≤ hours passed ≤ 1000

• Handle day overflow (24-hour cycle)

• Round minutes to nearest integer

Sample Input/Output

12:30
5
2

12:20

Explanation

The clock shows 12:30 and gains 5 minutes per hour. After 2 hours, it gained 10 minutes total. So the real time is 12:30 - 10 minutes = 12:20.