Can there be more than one algorithm for a single problem?
� Many different algorithms might be acceptable for each problem. � Due to the flexibility of the English language, the same algorithm can often be expressed in more than one way. � In addition, there is almost always more than one way to solve a problem.
What are the 3 elements of a general search problem?
A search problem consists of: A state space. A successor function. A start state.
What does it mean when we say that an algorithm has a time complexity of on?
When we say an algorithm has a time complexity of O (n), what does it mean? The algorithm has ‘n’ nested loops. The computation time taken by the algorithm is proportional to n. The algorithm is ‘n’ times slower than a standard algorithm. There are ‘n’ number of statements in the algorithm.
Which algorithm is used to solve any kind of problem?
Which algorithm is used to solve any kind of problem? Explanation: Tree algorithm is used because specific variants of the algorithm embed different strategies.
How many solution algorithms are derived for a problem?
For a given problem, more than one algorithm is possible and we have to select the most suitable solution. The algorithm is discussed in section 4.3. After finalising the algorithm, we need to convert the algorithm into the format which can be understood by the computer to generate the desired solution.
Does every problem has an algorithm and can we write a computer program for every algorithm?
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 are the 4 components to define a problem?
The four main components of a computer system are input devices, output devices, processing devices and the storage devices used to store data within the computer system. Understand the social constructionist view of social problems. It is the most important element of critical thinking.
Which of the following represents problem search space?
A problem in a search space is defined by one of these state. Explanation: A problem has four components initial state, goal test, set of actions, path cost. Solution quality is measured by the path cost function, and an optimal solution has the lowest path cost among all solutions.
What does o1 mean?
In short, O(1) means that it takes a constant time, like 14 nanoseconds, or three minutes no matter the amount of data in the set. O(n) means it takes an amount of time linear with the size of the set, so a set twice the size will take twice the time.
What is the relation between the time and space complexities of an algorithm?
Time complexity of an algorithm quantifies the amount of time taken by an algorithm to run as a function of the length of the input. Similarly, Space complexity of an algorithm quantifies the amount of space or memory taken by an algorithm to run as a function of the length of the input.
Which of the following methods can be used to solve N Queen’s problem *?
6. Which of the following methods can be used to solve n-queen’s problem? Explanation: Of the following given approaches, n-queens problem can be solved using backtracking. It can also be solved using branch and bound.
Which of the following algorithm can be used to solve the Hamiltonian Path Problem efficiently?
Which of the following algorithm can be used to solve the Hamiltonian path problem efficiently? Explanation: The Hamiltonian path problem can be solved efficiently using branch and bound approach. It can also be solved using a backtracking approach.
Can there be an algorithm with time complexity less than L(N)?
According to the lower bound theory, for a lower bound L (n) of an algorithm, it is not possible to have any other algorithm (for a common problem) whose time complexity is less than L (n) for random input. Also every algorithm must take at least L (n) time in worst case.
What is the lower bound theory of time complexity?
Lower Bound Theory: According to the lower bound theory, for a lower bound L (n) of an algorithm, it is not possible to have any other algorithm (for a common problem) whose time complexity is less than L (n) for random input. Also every algorithm must take at least L (n) time in worst case.
What is the worst case time complexity of insertion sort?
The worst case time complexity of Insertion Sort is Θ(n^2). 2. The best case time complexity of Insertion Sort is Θ(n). The Big O notation is useful when we only have upper bound on time complexity of an algorithm. Many times we easily find an upper bound by simply looking at the algorithm.
Is it possible to have an algorithm with a lower bound?
1. Lower Bound Theory: According to the lower bound theory, for a lower bound L (n) of an algorithm, it is not possible to have any other algorithm (for a common problem) whose time complexity is less than L (n) for random input. Also every algorithm must take at least L (n) time in worst case.