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ASU 349 All Soviet Union MO 1983 sets in 4x4 unit grid

Source:

July 28, 2019
square tablecombinatoricscombinatorial geometry

Problem Statement

Every cell of a 4×44\times 4 square grid net, has 1×11\times 1 size. Is it possible to represent this net as a union of the following sets:
a) Eight broken lines of length five each?
b) Five broken lines of length eight each?
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