Do all the problems can be solved in polynomial time?

In layman’s terms – if you solve a single NP-complete problem in polynomial time you have proven that NP = P. Yes, But if an NP solved in polynomial time, does it mean all the NP complete problems be solved in polynomial time.

Can be solved by polynomial time algorithms?

computational problems …can be solved in “polynomial time,” which means that an algorithm exists for its solution such that the number of steps in the algorithm is bounded by a polynomial function of n, where n corresponds to the length of the input for the problem.

Which problems can be solved in polynomial time?

Explanation: Problems that can be solved in polynomial time are known as tractable. Problems that cannot be solved in polynomial time are intractable.

Can every algorithm be solved?

Well, an algorithm is a sequence of steps that solves a problem. With that definition (and in fact most definitions of algorithm) any computer program is also an algorithm. Every Euler problem can be solved with a computer program, so the answer is yes.

What do you mean by polynomial run time algorithm give some example of polynomial run time algorithm?

A polynomial-time algorithm is an algorithm whose execution time is either given by a polynomial on the size of the input, or can be bounded by such a polynomial. Heapsort takes O(n log n) time in all cases. Quicksort takes O(n log n) time on average, but O(n2) time in the worst case.

What makes an algorithm polynomial time?

An algorithm is said to be of polynomial time if its running time is upper bounded by a polynomial expression in the size of the input for the algorithm, that is, T(n) = O(nk) for some positive constant k.

What is a polynomial time problem?

A polynomial-time algorithm is an algorithm whose execution time is either given by a polynomial on the size of the input, or can be bounded by such a polynomial. Problems that can be solved by a polynomial-time algorithm are called tractable problems. Sorting algorithms usually require either O(n log n) or O(n2) time.

Which of the following is a polynomial time complexity algorithm?

Many widely used algorithms have polynomial time complexity (like our algorithms readNumbers1 and readNumbers2 , quicksort, insertion sort, binary search etc. etc.). Examples of algorithms with non-polynomial time complexity are all kinds of brute-force algorithms that look through all possible configurations.

Do all problems have an algorithm?

I would say that very few problems require novel algorithms, but that since a computer program has only two parts–algorithms and data structures–all problems require some algorithms, even if those algorithms are trivial. An algorithm isn’t a mathematical model, it’s a sequence of instructions. algorithm.

What problems can be solved with an algorithm?

This list is about algorithmic problems that would serve a purpose should someone find a solution for them.

• Dealing with text searches.
• Differentiating words.
• Determining whether an application will end.
• Creating and using one-way functions.
• Multiplying really large numbers.
• Dividing a resource equally.

Is there a polynomial time algorithm for NP complete problems?

No polynomial time algorithm has yet been discovered for any NP complete problem, nor has anybody yet been able to prove that no polynomial-time algorithm exist for any of them. The interesting part is, if any one of the NP complete problems can be solved in polynomial time, then all of them can be solved.

Problemsthat can be solved by a polynomial-time algorithm are called tractableproblems. For example, most algorithms on arrays can use the array size, n, as the input size. Tofind the largest element in an array requires a single pass through the array, so thealgorithm for doing this is O(n), or linear time.

What are some computational problems that can not be solved by algorithms?

There are computational problems that can not be solved by algorithms even with unlimited time. For example Turing Halting problem (Given a program and an input, whether the program will eventually halt when run with that input, or will run forever).

Are all NP-complete problems equivalent?

All NP-complete problems are equivalent in that if any of them is solvable in polynomial time, all problems in NP can be solved in polynomial time.