Clock After Adding Minutes

Source: Phước Hưng OJ

Version: Phuoc Hung OJ Extended

Problem Statement

A 24-hour clock currently shows hour h and minute m. After k minutes, find the new hour and minute. The clock wraps from 23:59 to 00:00. Print two integers separated by one space; no colon or leading zeros are required.

Input

One line contains integers h, m and k: current hour, current minute and minutes to add.

Output

Print the new hour and minute as two space-separated integers, in that order.

Subtasks

• Subtask 1 (20%): 0 <= h < 24, 0 <= m < 60 and 0 <= k <= 59.
• Subtask 2 (30%): 0 <= h < 24, 0 <= m < 60 and 0 <= k <= 1439.
• Subtask 3 (50%): 0 <= h < 24, 0 <= m < 60 and 0 <= k <= 10^9.

Examples

Example 1

Input

23 58 5

Output

0 3

Explanation

23:58 is minute 1438. Adding 5 gives 1443; mod 1440 is 3, i.e. 0:03.

Example 2

Input

12 34 1440

Output

12 34

Explanation

1440 minutes is one full day, leaving the time unchanged.

Example 3

Input

0 0 1000000000

Output

10 40

Explanation

One billion minutes leaves 640 minutes modulo 1440, namely 10:40.