
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
Select a subset of 5 numbers from the set $\{1, 2, 3, \ldots, 10\}$ such that the sum of any two distinct numbers in this subset is not equal to 11, and calculate the total number of such subsets.

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