One of the famous proofs of modern mathematics is Georg Cantor's demonstration that the set of rational numbers is enumerable. The proof works by using an explicit enumeration of rational numbers as shown in the diagram below. is no more than 500 vertical corridors and no more than 500 horizontal corridors.

In the above diagram, the first term is 1/1, the second term is 1/2, the third term is 2/1, the fourth term is 3/1, the fifth term is 2/2, and so on.

The input is from a text file. You are to write a program that will read a list of numbers in the range from 1 to 10^7.The input list contains a single number per line and will be terminated by endof-file.

print for each number the corresponding term in Cantor's enumeration.No blank line should appear after the last number.

Southeastern European Regional Programming Contest 2004