cho.sh
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Numbers With Equal Remainder and Quotient

Time limit

2s

Memory limit

256 MB

Problem

A positive integer N is given. Call a positive integer x valid if, when x is divided by N, its quotient and remainder are equal.

Find the sum of all valid positive integers x.

Input

The first line contains a positive integer N not greater than 2,000,000.

Output

Output the sum of all valid positive integers.