Task: Table-QA (source dataset: TableBench)

Task: 
You are given a table containing structured data and a natural language question referring to the table. Your goal is to analyze the table and provide an accurate and concise answer based on the given data.

Instructions:
1. Understand the Table: Examine the structure, headers, and data in the table. Identify relevant columns and rows related to the question.
2. Interpret the Question: Determine whether the question requires direct retrieval, aggregation, comparison, sorting, filtering, or inference.
3. Extract the Answer: Use logical reasoning and numerical operations (if necessary) to derive the correct response from the table.
4. Format the Answer: No explanation, return the answer in a structured JSON format: {"answer": <answer>}. If the question cannot be answered due to missing or ambiguous data, return a JSON response with {"answer": null}.

Table:
|   year | winner             | jockey            | trainer            | owner                     | distance (miles)   | time    |
|-------:|:-------------------|:------------------|:-------------------|:--------------------------|:-------------------|:--------|
|   2013 | war dancer         | alan garcia       | kenneth g mcpeek   | magdalena racing          | 1 - 1 / 4          | 2:03.57 |
|   2012 | silver max         | robby albarado    | dale l romans      | bacon / wells             | 1 - 1 / 4          | 2:04.05 |
|   2011 | air support        | alex solis        | shug mcgaughey     | stuart janney iii         | 1 - 1 / 4          | 2:00.80 |
|   2010 | paddy o'prado      | kent j desormeaux | dale l romans      | winchell thoroughbreds    | 1 - 1 / 4          | 2:02.58 |
|   2009 | battle of hastings | tyler baze        | jeff mullins       | michael house             | 1 - 1 / 4          | 2:03.29 |
|   2008 | gio ponti          | garrett gomez     | christophe clement | castleton lyons           | 1 - 1 / 4          | 2:02.22 |
|   2007 | red giant          | horacio karamanos | todd a pletcher    | peachtree stable          | 1 - 1 / 4          | 1:59.62 |
|   2006 | go between         | garrett k gomez   | william i mott     | peter vegso               | 1 - 1 / 4          | 1:59.74 |
|   2005 | english channel    | john r velazquez  | todd a pletcher    | james t scatuorchio       | 1 - 1 / 4          | 2:02.57 |
|   2004 | kitten 's joy      | edgar s prado     | dale l romans      | ken and sarah ramsey      | 1 - 1 / 4          | 2:01.22 |
|   2003 | silver tree        | edgar s prado     | william i mott     | peter vegso               | 1 - 1 / 4          | 2:01.11 |
|   2002 | orchard park       | edgar s prado     | william i mott     | peter vegso               | 1 - 1 / 4          | 2:03.10 |
|   2001 | potaro             | brent bartram     | jonathan sheppard  | augustin stable           | 1 - 1 / 4          | 2:02.18 |
|   2000 | lightning paces    | greg hutton       | john j robb        | tulip hill farm           | 1 - 1 / 4          | 2:02.18 |
|   1999 | phi beta doc       | ramon dominguez   | robert w leonard   | dennis foster / r leonard | 1 - 1 / 4          | 1:59.97 |
|   1998 | crowd pleaser      | jean - luc samyn  | jonathan sheppard  | augustin stable           | 1 - 1 / 4          | 2:00.28 |

Question:
Which trainer has trained the most winners with a winning time of less than 2:02 minutes and has also trained a winner with a distance of exactly 1 - 1 / 4 miles?


id: afe452325ae2a67d28cd447dd37686d6
qtype: FactChecking
label: william i mott