with the following property: In every coloring satisfying the condition above, it is possible to find a group of consecutive points in which all the colors are used.
miércoles, 6 de agosto de 2014
Problema del dia. 6 de agosto.
Six thousand points are marked on a circle, and they are colored using 10 colors in such a way that within every group of 100 consecutive points all the colors are used. Determine the least positive integer with the following property: In every coloring satisfying the condition above, it is possible to find a group of consecutive points in which all the colors are used.
with the following property: In every coloring satisfying the condition above, it is possible to find a group of consecutive points in which all the colors are used.
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De entrada pudieramos acotarlo a:
ResponderBorrar$10 \leq k \leq 100 $
estan en la circunferencia? o como haces los grupos?
ResponderBorrarSi sobre la circunferencia (o imagina que dice, sobre una mesa redonda, haces los grupos con personas consecutivas)
Borrararres
BorrarEste problema fue de la Ibero a la que fue Memo, algún día vi la solución, entonces no voy a ponerla porque no es mía jeje
ResponderBorrar