
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
(from The Good Soldier Svejk) Senior military doctor Bautze exposed  $abccc$  malingerers among  $aabbb$  draftees who claimed not to be fit for the military service. He managed to expose all but one draftees. (He would for sure expose this one too, if the lucky guy was not taken by a stroke at the very moment when the doctor yelled at him "Turn around !. . . ") How many malingerers were exposed by the vigilant doctor? 

Each digit substitutes a letter. The same digits substitute the same letters, while distinct digits substitute distinct letters.

*(1 point)*

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