
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
There are chips in a box. Tolya and Kolya were asked how many chips there are in the box. Tolya answered: "Fewer than 7," and Kolya answered: "Fewer than 5." How many chips can be in the box if it is known that one of the answers is correct? Find all possible numbers of chips in the box and record their sum.

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