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.
You are to write a program that will read a list of numbers in the range from 1 to 107 and will print for each number the corresponding term in Cantor’s enumeration as given below. 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.
範例輸入 1
3 14 7
範例輸出 1
TERM 3 IS 2/1 TERM 14 IS 2/4 TERM 7 IS 1/4
Pro 專屬功能： 查看這題在歷屆 CPE 出現過幾次 — 升級以解鎖.