Group Formation

You are tasked with organizing a team-building event for different departments in a company. The employees will form groups based on their assigned relations. Each employee has a unique ID and can relate to multiple other employees. Your goal is to determine how many distinct groups can be formed. Input Format: - The first line contains an integer n: the number of employees (1 ≤ n ≤ 1000). - The following lines will contain pairs of integers (a, b) denoting that employee a is related to employee b (1 ≤ a, b ≤ n). Each pair is provided on a new line, and the input ends when a line with '0 0' is encountered. Output Format: - Print a single integer representing the number of distinct groups that can be formed. Example: Input: 5 1 2 2 3 4 5 0 0 Output: 2