MathDB

1

Part of 2015 Junior Balkan Team Selection Test

Problems(1)

Serbia Junior Balkan TST 2015

Source:

5/25/2015
Frog is in the origin of decartes coordinate system. Every second frog jumpes horizontally or vertically in some of the 44 adjacent points which coordinates are integers. Find number of different points in which frog can be found in 20152015 seconds.
combinatorics