P4325 [COCI 2006/2007 #1] Modulo

Given two integers A and B, A modulo B is the remainder when dividing A by B. For example, the numbers 7, 14, 27 and 38 become 1, 2, 0 and 2, modulo 3. Write a program that accepts 10 numbers as input and outputs the number of distinct numbers in the input, if the numbers are considered modulo 42.

The input will contain 10 non-negative integers, each smaller than 1000, one per line.

Output the number of distinct values when considered modulo 42 on a single line.

In the first example, the numbers modulo 42 are 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10. In the second example all numbers modulo 42 are 0. In the third example, the numbers modulo 42 are 39, 40, 41, 0, 1, 2, 40, 41, 0 and 1. There are 6 distinct numbers.