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A problem X belongs to P complexity class if there exist ________ algorithm to solve that problem, such that the number of steps of the algorithms bounded by a polynomial in n, where n is the length of the input.

A problem X belongs to P complexity class if there exist ________ algorithm to solve that problem, such that the number of steps of the algorithms bounded by a polynomial in n, where n is the length of the input. Correct Answer all of the mentioned

A problem X belongs to P complexity class if there exist atleast 1 algorithm to solve that problem, such that the number of steps of the algorithms bounded by a polynomial in n, where n is the length of the input. Thus, all the options are correct.

Related Questions

Given below are some famous algorithms and some algorithm design paradigms Algorithms Design Paradigm  1. Dijkstra's shortest path algorithms  (a) Greedy design  2. Floyd-Warshall's all-pair-shortest path algorithms  (b) Divide and conquer  3. Kruskal's minimum spanning tree algorithm  (c) Dynamic programming  4. Merge Sort algorithm     Which of the following correspondence is correct?
Given below are three quantities named A, B and C. Based on the given information, determine the relation among the three quantities. Total number of pupils in three classes of a school is 1288. The ratio of children in three classes X, Y, Z is 39 : 64 : 58. In class X number of boys are 26 less than number of girls. Number of boys in class Y is 67.83% more than the number of boys in class X. And, girls in class Z are 25.36% less than the number of girls in class Y. (In calculating number of boys and girls, the decimal value must be rounded off to nearest whole number). Quantity A: Number of boys in class Z. Quantity B: Number of girls in class X. Quantity C: Number of girls in class Y.
There are five classes class 1, class 2, class 3, class 4 and class 5 in a school. They are one above the other. Class 1 is at the bottom, then class 2 above it and so on. Five videos M1, M2, M3, M4 and M5 are displayed in these given classes. Only one video is displayed in a particular class. Each video is displayed only one time. Video M5 is displayed at an even numbered class. Video M2 is displayed at class 1. Video M1 is displayed at the class just below M5. Video M4 is not displayed at even numbered class. Which of the following statement is not correct?
In a class text, to the question, find out 23% of 200, two students answered in following ways:  Student A: 23% of 200 = 23% of (100 + 100) = 23 + 23 = (20 + 20) + (3 + 3) = 46  Student B: 23% of 200 = 200 × \(\frac{23}{100}\) = 2 × 23 = 46 Which of the following statements is the most appropriate in the given context? 1. Since student B has used the standard algorithm, teacher gives full marks to student B and zero to student A 2. Teacher gives full marks to both the students as they have attempted the question using their own algorithms. Both formal and informal algorithms are integral to solving problems in mathematics. 3. Teacher gives zero marks to student A and directs him to redo the question using the algorithm taught in the Class 4. Teacher accepts both the responses but directed student A to refrain from using informal algorithm 
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Which of the following statements are TRUE? 1. The problem of determining whether there exists a cycle in an undirected graph is in P. 2. The problem of determining whether there exists a cycle in an undirected graph is in NP. 3. If a problem A is NP-Complete, there exists a non-deterministic polynomial time algorithm to solve A.
State true or false? Statement: If a problem X is in NP and a polynomial time algorithm for X could also be used to solve problem Y in polynomial time, then Y is also in NP.
A, B and C participated in a race. A covers the same distance in 49 steps as B covers in 50 steps and C covers in 51 steps. A takes 10 steps in same time as B takes 9 steps and C takes 8 steps. Who is the winner of the race?
A man walks 60 steps in a minute when he has energy. He walks 30 steps per minute when he is tired. He has to go to a place 300 steps away. If he can walk 120 steps without getting tired, what is his average walking speed (steps per minute) for his back and forth journey if he takes rest after reaching the place and again walks 120 steps with energy.
Two statements and a few problems are given. Which of the following problems can be solved through these statements? Statement I: The average age of the class is 15. Statement II: The total number of students in the class is 40 and the number of girls is 15. Problem 1: What is the number of students below age of 15 in the class? Problem 2: If a teacher of age 56 is included in the class, then what is the new average age of the class? Problem 3: What is the number of boys in the class?