other,15-5-E06-1004,ak | time solution </term> for any of these <term> | hard problems | </term> ( unless P = NP and P #P = P ) , | #10983 Since it is unlikely that there exists a polynomial time solution for any of these hard problems (unless P = NP and P#P = P), our results highlight and justify the need for developing polynomial time approximations for these computations. |