
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
Ben works quickly on his homework, but tires quickly. The first problem takes him  $1$  minute to solve, and the second problem takes him  $2$  minutes to solve. It takes him  $N$  minutes to solve problem  $N$  on his homework. If he works for an hour on his homework, compute the maximum number of problems he can solve.

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