
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Chris and Pat are playing catch. Standing 1 meter apart, Pat first throws the ball to Chris and then Chris throws the ball back to Pat. Next, standing 2 meters apart, Pat throws to Chris and Chris throws back to Pat. After each pair of throws, Chris moves 1 meter farther away from Pat. Given that the game ends when the 29th throw is missed, determine the distance between Chris and Pat when the game ends and who misses catching the ball.

Present the answer in LaTex format: \boxed{Your answer}
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