Distance Between Bus Stops

A bus has n stops numbered from 0 to n - 1 that form a circle. We know the distance between all pairs of neighboring stops where distance[i] is the distance between the stops number i and (i + 1) % n.

The bus goes along both directions i.e. clockwise and counterclockwise.

Return the shortest distance between the given start and destination stops.

 

Example 1:

Input: distance = [1,2,3,4], start = 0, destination = 1
Output: 1
Explanation: Distance between 0 and 1 is 1 or 9, minimum is 1.
 

Example 2:

Input: distance = [1,2,3,4], start = 0, destination = 2
Output: 3
Explanation: Distance between 0 and 2 is 3 or 7, minimum is 3.

 

Example 3:

Input: distance = [1,2,3,4], start = 0, destination = 3
Output: 4
Explanation: Distance between 0 and 3 is 6 or 4, minimum is 4.

 

Constraints:


Solution:

class Solution {
    public int distanceBetweenBusStops(int[] distance, int start, int destination) {
        if (start > destination) return distanceBetweenBusStops(distance, destination, start);
        int sum = 0, sum2 = 0, n = distance.length;
        for (int i = 0; i < n; i ++) {
            sum += distance[i];
            if (i >= start && i < destination) {
                sum2 += distance[i];
            }
        }
        int d = Math.min(sum2, sum - sum2);
        return d;
    }
}