Within 20 mins, write a program to complete below task. Language not specified.

Given positive integers A, B, and N, write a program that prints integers from 1 to N. But for integers that are multiples of A, print 'F', and for multiples of B, print 'B'. For integers which are multiples of both A and B, print 'FB'.

Input:

Your program should read lines of text from standard input. Each line will contain A, B, and N as space-delimited positive integers.

Output:

For each line of input, print to standard output a line of space-delimited integers 1 through N, replacing integers as described above.

Example:

Input: 3 5 10

Output: 1 2 F 4 B F 7 8 F B

Input: 2 7 15

Output: 1 F 3 F 5 F B F 9 F 11 F 13 FB 15