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.
1/1 1/2 1/3 1/4 1/5 ... 2/1 2/2 2/3 2/4 3/1 3/2 3/3 4/1 4/2 5/1
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.
Write a program that reads a list of numbers, each in the range from 1 to 107, and prints for each number read the corresponding term in Cantor's enumeration as given above. No blank line should appear after the last number. The input list contains a single number per line and will be terminated by end-of-file. No more than 30 numbers will appear in the input file.
3 14 7
TERM 3 IS 2/1 TERM 14 IS 2/4 TERM 7 IS 1/4