Today's problem: Do you have flees...?


	Wednesday, 12 april 2017

Do you have flees...?

Proposed by batranetupetre Offline


(one comment)	1.904 times displayed

Pe axa numerelor, in origine, se afla un purice. El sare aleator stanga -dreapta astfel: -pas 1 - 1mm -pas 2 - 2mm .... -pas 2017 - 2017 mm Dupa 2017 sarituri poate ajunge din nou in originea axei? Justificati raspunsul.


View the Solution Nu poate! Putem transpune problema in limbaj matematic, astfel: se pot aseza semnele + , - intre numerele 0-2017 astfel incat dupa efectuarea calculelor rezultatul sa fie 0? De la 1 la 2017 sunt 1009 numere impare. Oricum am aduna sau am scadea un numar impar de numere impare obtinem ca rezultat un numar impar. Prin urmare rezultatul nu poate fi 0.

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