CTS Interview Programming

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A museum curator must group 9 paintings-F,G,H,I,J,K,L,M,N,O in 12 spaces numbered consecutively from 1-12. The paintings must be in three groups, each group representing a different century. The groups must be separated from each other by at least one unused wall space. Three of the paintings are from the 18th century, two from the 19th century, and four from the 20th century.
Unused wall spaces cannot occur within groups.
G and J are paintings from different centuries.
J, K and L are all paintings from the same century.
Space no. 5 is always empty.
F and M are 18th century paintings.
N is a 19th century painting.