Question: [15] Give a simple algorithm that multiplies two n n Boolean matrices in O(n2) average time under uniform distribution. Use an incompressibility argument to

[15] Give a simple algorithm that multiplies two n × n Boolean matrices in O(n2) average time under uniform distribution. Use an incompressibility argument to show the time complexity.

Comments. Source: The original proof, without incompressibility, is given in [P.E. O’Neil and E.J. O’Neil, Inform. Contr., 22:2(1973), 132–138].

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