
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
There are  $2017$  jars in a row on a table, initially empty. Each day, a nice man picks ten consecutive jars and deposits one coin in each of the ten jars. Later, Kelvin the Frog comes back to see that  $N$  of the jars all contain the same positive integer number of coins (i.e. there is an integer  $d>0$  such that  $N$  of the jars have exactly  $d$  coins). What is the maximum possible value of  $N$ ?

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