A Vital Problem

Description:

Input:

The first line contains a single integer n (1 ≤ n ≤ 100) — the number of alarms.

Each of the next n lines contains a description of one alarm. Each description has a format "hh:mm", where hh is the hour when the alarm rings, and mm is the minute of that hour when the alarm rings. The number of hours is between 0 and 23, and the number of minutes is between 0 and 59. All alarm times are distinct. The order of the alarms is arbitrary.

Each alarm starts ringing in the beginning of the corresponding minute and rings for exactly one minute (i. e. stops ringing in the beginning of the next minute). Polycarp can start sleeping instantly when no alarm is ringing, and he wakes up at the moment when some alarm starts ringing.

Output:

Print a line in format "hh:mm", denoting the maximum time Polycarp can sleep continuously. hh denotes the number of hours, and mm denotes the number of minutes. The number of minutes should be between 0 and 59. Look through examples to understand the format better.

Sample Input:

1
05:43

Sample Output:

23:59

Sample Input:

4
22:00
03:21
16:03
09:59

Sample Output:

06:37

Note:

In the first example there is only one alarm which rings during one minute of a day, and then rings again on the next day, 23 hours and 59 minutes later. Polycarp can sleep all this time.