Lazy caterer sequence is defined as the maximum number of pieces formed when slicing a convex pancake with n cuts (each cut is a straight line). The formula is C_n = n·(n + 1) / 2 + 1. You are given n; calculate n-th element of the sequence.

The only line of the input contains an integer n (0 ≤ n ≤ 100).

Output the n-th element of lazy caterer sequence.