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Wasimur have a strange wall clock which is circular. There're all possible integers from $1$ to $7$ written around the clock and an arrow inside the clock. At the beginning the arrow points to one of the seven numbers. On each turn, the arrow is rotated clockwise by the number of spaces indicated by the arrow at the beginning of the turn. For example- if starts with the arrow pointing at $4$, then on the first turn, the arrow is rotated clockwise $4$ spaces so that it now points at $1$. The arrow will then move $1$ space on the next turn and will point on $2$. And so on. [Imagine, the the battery's energy of the clock will not end up ever] If the arrow points at $3$ after the $2018$st turn, at which number did the arrow point after it's $18$st turn?

Source: BdMO


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