Table: 2009 thailand national games
Question: Did any province win more than half of their total medals in a single medal category (gold, silver, or bronze)? Answer with only 'Yes' or 'No' that is most accurate and nothing else.
Step 1 (Reasoning, Arithmetic): /,  total medals in gold
Step 2 (Reasoning, Arithmetic): /,  total medals in silver
Step 3 (Reasoning, Arithmetic): /,  total medals in bronze
Step 4 (Reasoning, Reasoning with Quantifiers): existential, more than half
Answer: Yes