CF622A Infinite Sequence

Description

Consider the infinite sequence of integers: $ 1,1,2,1,2,3,1,2,3,4,1,2,3,4,5... $ . The sequence is built in the following way: at first the number $ 1 $ is written out, then the numbers from $ 1 $ to $ 2 $ , then the numbers from $ 1 $ to $ 3 $ , then the numbers from $ 1 $ to $ 4 $ and so on. Note that the sequence contains numbers, not digits. For example number $ 10 $ first appears in the sequence in position $ 55 $ (the elements are numerated from one). Find the number on the $ n $ -th position of the sequence.

Input Format

The only line contains integer $ n $ ( $ 1

Output Format

Print the element in the $ n $ -th position of the sequence (the elements are numerated from one).