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If two elements belong to different sets, what will the 'Find' operation return

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Question: If two elements belong to different sets, what will the \'Find\' operation return after a \'Union\' operation is performed on them?

Options:

  1. The first element\'s set identifier
  2. The second element\'s set identifier
  3. A new unique identifier
  4. An error message

Correct Answer: A new unique identifier

Solution: 

After a \'Union\' operation is performed on two elements from different sets, the \'Find\' operation will return a new unique identifier representing the combined set.

If two elements belong to different sets, what will the 'Find' operation return

Practice Questions

Q1
If two elements belong to different sets, what will the 'Find' operation return after a 'Union' operation is performed on them?
  1. The first element's set identifier
  2. The second element's set identifier
  3. A new unique identifier
  4. An error message

Questions & Step-by-Step Solutions

If two elements belong to different sets, what will the 'Find' operation return after a 'Union' operation is performed on them?
  • Step 1: Start with two different sets, each containing one element. For example, Set A has element 'X' and Set B has element 'Y'.
  • Step 2: Perform a 'Union' operation on these two sets. This means you are combining Set A and Set B into a new set that contains both elements.
  • Step 3: After the 'Union', you now have a new set that contains both 'X' and 'Y'. Let's call this new set 'Combined Set'.
  • Step 4: Now, if you perform a 'Find' operation on either element 'X' or 'Y', it will return a new unique identifier that represents the 'Combined Set'.
  • Step 5: This unique identifier indicates that both elements are now part of the same set after the 'Union' operation.
  • Union Operation – The process of combining two sets into a single set that contains all elements from both sets.
  • Find Operation – An operation that retrieves the representative or identifier of the set containing a specific element.
  • Disjoint Sets – Sets that do not have any elements in common before the union operation.
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