
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
In a singing competition, the participants were the Rooster, the Crow, and the Cuckoo. Each jury member voted for one of the three performers. Woodpecker counted that there were 59 judges, with a total of 15 votes for the Rooster and the Crow, 18 votes for the Crow and the Cuckoo, and 20 votes for the Cuckoo and the Rooster. Woodpecker counts poorly, but each of the four numbers he called differs from the correct value by no more than 13. How many judges voted for the Crow? [6 points] (I.V. Raskina)

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