SDE - Intern

You are given a positive integer N and an equation 1/X + 1/Y = 1/N

You need to determine the count of all possible positive integral solutions (X, Y) for the above equation.

Note:

1. X and Y should be greater than 0.
2. (X, Y) and (Y, X) are considered different solutions if X is not equal to Y, i.e. (X, Y) and (Y, X) will not be distinct if X=Y.

You are given an array of N integers and an integer K. For each array element, you are allowed to increase or decrease it by a value k. The task is to minimize the difference between the maximum element and the minimum element after modifications.

There is a country with 'N' cities and 'M' bidirectional roads of 3 types.

Type 1: Two Wheeler Road, It means only vehicles having two wheels can use this road.
Type 2: Four Wheeler Road, It means only vehicles having four wheels can use this road.
Type 3: Both two and four Wheeler Road, It means this road can be used by both type of vehicles.

The problem is to find the maximum number of roads that can be removed such that a path exists for every pair of cities for each two-wheeler and four-wheeler vehicle.

Note:

1. Roads may form a cycle.

2. The cities do not have multiple same roads i.e all the roads are unique.

3. If every city cannot be reached, then return -1.

You are given the arrival and departure times of N trains at a railway station in a day. You need to find the minimum of platforms required for the railway station such that no train waits i.e No train should wait for the platform to be clear or free.