171

Part of 1972 All Soviet Union Mathematical Olympiad

Problems(1)

ASU 171 All Soviet Union MO 1972 put numbers 0,1,2 in 100x100 table

Source:

Is it possible to put the numbers

0,1

2

in the unit squares of the cross-lined paper

100\times 100

in such a way, that every rectangle

3\times 4

4\times 3

) would contain three zeros, four ones and five twos?

combinatoricssquare table