Question 9
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 $d\gt 0$ such that $N$ of the jars have exactly $d$ coins). What is the maximum possible value of $N$?