
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
To enter Ali Baba's cave, it is necessary to reset 28 counters, each of which is set to a natural number from 1 to 2017. In one move, treasure seekers are allowed to decrease the values of some counters by the same number, which can be changed from move to move. Indicate the minimum number of moves in which the treasure seekers will definitely reset the counters (regardless of the initial values) and enter the cave.

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