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V = matrix(seq(0,14), rows=5, cols=3);
X = matrix(seq(1,15), rows=5, cols=3);
Y = matrix(seq(2,16), rows=5, cols=3);
Z = matrix(seq(3,17), rows=5, cols=3);

#disjoint partitions with transitive partial shared reads
r1 = sum(V * X);
r2 = sum(Y * Z);
r3 = sum(X * Y * Z);
S = as.matrix(r1+r2+r3);

write(S,$1)