## Can we solve NP-hard problems in deterministic polynomial time?

Yes, many NP-hard problems (and indeed all NP-complete problems) can be solved in exponential time. Whether they can be solved efficiently (in polynomial time) is an open problem.

## Is the set of problems that can be solved by a deterministic Turing machine in polynomial time?

Formally, P is the complexity class of decision problems that can be solved in polynomial time by a deterministic Turing machine. NP is the complexity class of decision problems that can be solved in a polynomial time by a non-deterministic Turing machine.

**Which is the class of problems for which there is a deterministic polynomial time algorithm which computes a solution to the problem?**

Solvable in polynomial time Defines decision problems that can be solved by a deterministic Turing machine (DTM) using a polynomial amount of computation time, i.e., its running time is upper bounded by a polynomial expression in the size of the input for the algorithm.

### Is the class of decision problems that can be solved by non-deterministic polynomial?

_________ is the class of decision problems that can be solved by non-deterministic polynomial algorithms. Explanation: NP problems are called as non-deterministic polynomial problems. They are a class of decision problems that can be solved using NP algorithms.

### Are undecidable problems NP-hard?

An NP-hard is a problem that is at least as hard as any NP-complete problem. Therefore an undecidable problem can be NP-hard. A problem is NP-hard if an oracle for it would make solving NP-complete problems easy (i.e. solvable in polynomial time).

**Can all NP problems be solved in polynomial time?**

If an NP-complete problem can be solved in polynomial time then all problems in NP can be solved in polynomial time. If a problem in NP cannot be solved in polynomial time then all problems in NP-complete cannot be solved in polynomial time. Note that an NP-complete problem is one of those hardest problems in NP.

#### Is NP-hard the same as NP-complete?

A Problem X is NP-Hard if there is an NP-Complete problem Y, such that Y is reducible to X in polynomial time. NP-Hard problems are as hard as NP-Complete problems….Difference between NP-Hard and NP-Complete:

NP-hard | NP-Complete |
---|---|

To solve this problem, it do not have to be in NP . | To solve this problem, it must be both NP and NP-hard problems. |

#### Are NP problems solvable?

The short answer is that if a problem is in NP, it is indeed solvable.

**How NP-hard problems are different from NP-complete?**

A non-deterministic Turing machine can solve NP-Complete problem in polynomial time….Difference between NP-Hard and NP-Complete:

NP-hard | NP-Complete |
---|---|

To solve this problem, it do not have to be in NP . | To solve this problem, it must be both NP and NP-hard problems. |

Do not have to be a Decision problem. | It is exclusively a Decision problem. |

## Which of the problems is not NP-hard?

Which of the following problems is not NP complete? Explanation: Hamiltonian circuit, bin packing, partition problems are NP complete problems. Halting problem is an undecidable problem.

## Which of the problems is not NP hard?

**Is a NP hard problem?**

A problem is NP-hard if an algorithm for solving it can be translated into one for solving any NP- problem (nondeterministic polynomial time) problem. NP-hard therefore means “at least as hard as any NP-problem,” although it might, in fact, be harder.