
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, excluding jokers, has 4 suits with 52 cards in total. Each suit has 13 cards, with face values from 1 to 13. If Feifei draws 2 hearts, 3 spades, 4 diamonds, and 5 clubs from this deck, and the sum of the face values of the spades is 11 times the sum of the face values of the hearts, while the sum of the face values of the clubs is 45 more than the sum of the face values of the diamonds, what is the sum of the face values of these 14 cards?

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