
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
Replace each letter with a digit so that the sum is correct, using the same digit for the same letter and different digits for different letters. 

| $A$ | $B$ | $C$ | $D$ | $E$ |
| :--- | :--- | :--- | :--- | :--- |
| $E$ | $D$ | $C$ | $B$ | $A$ |
| $F$ | $F$ | $F$ | $F$ | $F$ |$+$

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