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C. 867. Starting from the origin in the usual Cartesian coordinate system, a broken line segment is drawn. We arrive back at the y-axis in every fourth step, see the figure.

Using a certain ball-pen and a coordinate system with unit length of 0.5 cm, we draw broken line segments of length 8000 meters as in the figure. Count how many times we arrive back at the y-axis.

(5 points)

Deadline expired on 15 November 2006.

Google Translation (Sorry, the solution is published in Hungarian only.)

Megoldás.

Másodfokú egyenlőtlenség megoldása nélkül is kitalálható, hogy melyik a legnagyobb n egész szám, amire teljesül: n=601.

Statistics on problem C. 867.
 459 students sent a solution. 5 points: 235 students. 4 points: 21 students. 3 points: 19 students. 2 points: 27 students. 1 point: 72 students. 0 point: 66 students. Unfair, not evaluated: 19 solutions.

• Problems in Mathematics of KöMaL, October 2006

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