
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
Given ten piano keys, determine the number of unique chords that can be played by simultaneously pressing 3, 4, 5, ..., 10 keys, where any difference in at least one key results in a different chord.

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