Mathematical and Physical Journal
for High Schools
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Problem B. 4686. (January 2015)

B. 4686. A flea is jumping on the points of the plane with integer coordinates. Is it possible for the flea to follow a route touching every lattice point exactly once, in which each jump has an integer length, and each integer jump length occurs exactly once?

(6 pont)

Deadline expired on February 10, 2015.


22 students sent a solution.
6 points:Andó Angelika, Baran Zsuzsanna, Fekete Panna, Molnár-Sáska Zoltán, Nagy Kartal, Schwarcz Tamás, Szebellédi Márton, Williams Kada.
5 points:Döbröntei Dávid Bence, Khayouti Sára.
4 points:2 students.
3 points:2 students.
2 points:4 students.
1 point:2 students.
0 point:2 students.

Problems in Mathematics of KöMaL, January 2015