4. Three boys are running on a circular track in such a way that Ante starts from the starting line, runs around the circular track, and as he passes by the poles A, B, C, D, E, and F, he counts 1, 2, 3, 4, 5, 6. Then, the next lap is continued by Branimir, who continues counting 7, 8, 9, 10, 11, 12. After him, Ivan continues and counts $13,14,15,16,17,18$, and then they continue running in this order: Ante, Branimir, Ivan, etc. If they continue this way, which boy will say the number 444 and which pole will he touch at that moment?

![](https://cdn.mathpix.com/cropped/2024_06_03_ccf29d7e50accc79aeedg-1.jpg?height=457&width=483&top_left_y=2144&top_left_x=775)
First method:

Ante, Branimir, and Ivan complete one cycle up to the number 18, after which they start a new cycle.

The number 444 needs to be divided by 18

1 POINT

$444: 18=24$

2 POINTS

84

12

The boys will run 24 full cycles and then an additional 12 steps.

1 POINT

After the first 6 of Ante's steps, 6 of Branimir's steps follow.

1 POINT

The last, twelfth step is step F.

1 POINT

Therefore, the number 444 will be called out by Branimir at step F.

TOTAL 6 POINTS

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