
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 standard deck of cards has 4 suits and a total of 52 cards (excluding jokers), with each suit consisting of 13 cards numbered from 1 to 13. Feifei draws 2 hearts, 3 spades, 4 diamonds, and 5 clubs. The sum of the face values of these 14 cards exactly equals 35. How many of these cards have a face value of 1?

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