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Can 3SUM be solved in strongly sub-quadratic time, that is, in time O(n 2−ϵ) for some ϵ>0? Can the edit distance between two strings of length n be computed in strongly sub-quadratic time? (This is only possible if the strong exponential time hypothesis is false.) Can X + Y sorting be done in o(n 2 log n) time?
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.
Just as the class P is defined in terms of polynomial running time, the class EXPTIME is the set of all decision problems that have exponential running time. In other words, any problem in EXPTIME is solvable by a deterministic Turing machine in O (2 p ( n ) ) time, where p ( n ) is a polynomial function of n .
The W hierarchy is a collection of computational complexity classes. A parameterized problem is in the class W[i], if every instance (,) can be transformed (in fpt-time) to a combinatorial circuit that has weft at most i, such that (,) if and only if there is a satisfying assignment to the inputs that assigns 1 to exactly k inputs.
That is, assuming a solution for H takes 1 unit time, H ' s solution can be used to solve L in polynomial time. [ 1 ] [ 2 ] As a consequence, finding a polynomial time algorithm to solve a single NP-hard problem would give polynomial time algorithms for all the problems in the complexity class NP .
Today's Wordle Answer for #1298 on Tuesday, January 7, 2025. Today's Wordle answer on Tuesday, January 7, 2025, is ATLAS. How'd you do? Next: Catch up on other Wordle answers from this week.
Keanu Reeves' stolen luxury watch collection — which includes a $9000 Rolex — has been located by police in Chile, according to a report.. Local police confirmed that they found an engraved ...
On an adjusted basis, the company earned $2.41 per share in the third quarter, missing estimates of $2.44. (Reporting by Zaheer Kachwala in Bengaluru; Editing by Shounak Dasgupta) Show comments