# Get minimum time difference challenge

**Problem statement**

Given an array of times in `HH:MM`

format, find the minimum difference in minutes. The time is circular in nature. For example `23:52`

and `00:08`

have a difference of `16`

. Also `00:00`

should be handled the same as `24:00`

.

**Solution**

The first key is to convert the `string`

representation of each time into an `int`

representing minutes:

int[] timeInMinutes = new int[times.length]; for (int i = 0; i < times.length; i++) { timeInMinutes[i] = Integer.valueOf(times[i].split(":")[0]) * 60 + Integer.valueOf(times[i].split(":")[1]); }

Next, we iterate over the times and subtract each time from the following one checking for a new minimum each time:

int diff = Integer.MAX_VALUE; for (int i=0; i < timeInMinutes.length-1; i++) { diff = Math.min(diff, timeInMinutes[i+1] - timeInMinutes[i]); }

The last step is to complete the circle and make the first time the follower of the last time in the array by adding and subtracting the last time from it:

diff = Math.min(diff, (timeInMinutes[0] + 1440) - timeInMinutes[timeInMinutes.length-1]);

**Full code**

public class SmallestTimeDifference { private static int solve(String[] times) { int[] timeInMinutes = new int[times.length]; // Convert each time to minutes for (int i = 0; i < times.length; i++) { timeInMinutes[i] = Integer.valueOf(times[i].split(":")[0]) * 60 + Integer.valueOf(times[i].split(":")[1]); } // Sort Arrays.sort(timeInMinutes); // Iterate over times and subtract each time from the following one int diff = Integer.MAX_VALUE; for (int i=0; i < timeInMinutes.length-1; i++) { diff = Math.min(diff, timeInMinutes[i+1] - timeInMinutes[i]); } // Circle : add 1440 (24 hour) to the first and subtract the last from it. That is make the first // time the following time of the last to complete the circle. diff = Math.min(diff, (timeInMinutes[0] + 1440) - timeInMinutes[timeInMinutes.length-1]); return diff; } public static void main(String args[]) { String times[] = {"23:20","23:30","23:36","23:55","01:00"}; System.out.println(solve(times)); } }