You are working on the city construction project. You have A houses in the city. You have to divide these houses into B localities such that every locality has at least one house. Also, every house in a locality should have a telephone connection wire with each of the other houses in the locality.

You are given integers A and B.   

Task

Print the minimum and the maximum number of telephone connections possible if you design the city accordingly.

Example

Assumptions

• A = 6
• B = 3

Approach

A minimum number of telephone connections can be achieved if houses were split into localities consisting of 2 houses each. The maximum number can be achieved if localities were split into localities of 1, 1, and 4 houses.

Ans = 3 6

Function description

Complete the function Minmax() which takes an integer A and an integer B. This function takes the following parameters and returns the required answer: 

• A: Represents the number of houses
• B: Represents the number of localities

Input format

Note: This is the input format you must use to provide custom input (available above the Compile and Test button).

• The first line contains an integer A denoting the number of houses.
• The second line contains an integer B denoting the number of localities.

Output format

Print the minimum and the maximum number of telephone connections possible if you design the city accordingly.

Constraints

\(1\leq B\leq A\leq 10^9\)