
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
A person flips a coin and records \( a \) points for heads and \( b \) points for tails, where \( a \) and \( b \) are positive integers and \( a > b \). The scores are accumulated each time. The person finds that there are exactly 35 scores that cannot be obtained regardless of the number of flips. For example, 58 is one such unattainable score. Determine the values of \( a \) and \( b \).

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