Table: list of schools in the waikato region
Question: Is there a difference in roll size between state and state-integrated schools in the Waikato region? Answer with only 'Yes' or 'No' that is most accurate and nothing else.
Step 1 (Reasoning, Grounding): state and state-integrated, authority
Step 2 (Operation, Filter): authority
Step 3 (Operation, Grouping): authority
Step 4 (Reasoning, Other Commonsense Reasoning): a difference in roll size
Answer: Yes