#C1039. Minimal Highway Construction Cost

    ID: 39589 Type: Default 1000ms 256MiB

Minimal Highway Construction Cost

Minimal Highway Construction Cost

Given two positive integers n and k, representing the number of cities and a cost multiplier respectively, your task is to compute the minimal cost to construct highways such that every pair of cities is directly connected. Since every highway between two distinct cities costs k and there are \(\frac{n(n-1)}{2}\) highways in a complete network, the total cost is given by the formula:

$$Cost = k \times \frac{n(n-1)}{2}$$

Read the input from standard input and output the computed cost to standard output.

inputFormat

The input consists of a single line with two space-separated integers: n (the number of cities) and k (the cost multiplier).

outputFormat

Output a single integer, which is the minimal cost to construct all the required highways.

## sample
3 1
3