Table of Contents
- 1 How can greedy algorithm be improved?
- 2 Which algorithm can be solved by greedy method as well as dynamic programming?
- 3 Which of the following can be solved by greedy approach?
- 4 Which of the following algorithm can be solved by greedy method as well as dynamic programming Mcq?
- 5 How do you find the value of a coin in algorithm?
- 6 What is the best way to solve the coin problem?
How can greedy algorithm be improved?
To make a greedy algorithm, identify an optimal substructure or subproblem in the problem. Then, determine what the solution will include (for example, the largest sum, the shortest path, etc.). Create some sort of iterative way to go through all of the subproblems and build a solution.
Which algorithm can be solved by greedy method as well as dynamic programming?
Greedy approach vs Dynamic programming
Feature | Greedy method | Dynamic programming |
---|---|---|
Time complexity | Greedy methods are generally faster. For example, Dijkstra’s shortest path algorithm takes O(ELogV + VLogV) time. | Dynamic Programming is generally slower. For example, Bellman Ford algorithm takes O(VE) time. |
What is a greedy algorithm give examples of problems solved using greedy algorithms?
Examples of such greedy algorithms are Kruskal’s algorithm and Prim’s algorithm for finding minimum spanning trees and the algorithm for finding optimum Huffman trees. Greedy algorithms appear in the network routing as well.
When can we use greedy algorithm?
Greedy algorithms are simple instinctive algorithms used for optimization (either maximized or minimized) problems. This algorithm makes the best choice at every step and attempts to find the optimal way to solve the whole problem.
Which of the following can be solved by greedy approach?
Explanation: The fractional knapsack problem is solved using a greedy algorithm.
Which of the following algorithm can be solved by greedy method as well as dynamic programming Mcq?
What is greedy approach of algorithm designing?
Greedy is an algorithmic paradigm that builds up a solution piece by piece, always choosing the next piece that offers the most obvious and immediate benefit. So the problems where choosing locally optimal also leads to global solution are best fit for Greedy. For example consider the Fractional Knapsack Problem.
How to solve this problem using a greedy algorithm?
To solve this problem using a greedy algorithm, we will find the which is the largest denomination that can be used. then we will subtract the largest denomination from the sum and again do the same process until the sum becomes zero. Input: sum, Initialise the coins = 0 Step 1: Find the largest denomination that can be used i.e. smaller than sum.
How do you find the value of a coin in algorithm?
Algorithm: 1 Sort the array of coins in decreasing order. 2 Initialize result as empty. 3 Find the largest denomination that is smaller than current amount. 4 Add found denomination to result. Subtract value of found denomination from amount. 5 If amount becomes 0, then print result. 6 Else repeat steps 3 and 4 for new value of V.
What is the best way to solve the coin problem?
Solution: Greedy Approach. Approach: A common intuition would be to take coins with greater value first. This can reduce the total number of coins needed. Start from the largest possible denomination and keep adding denominations while the remaining value is greater than 0. Sort the array of coins in decreasing order. Initialize result as empty.
How do you sort a coin array by size?
Algorithm: 1 Sort the array of coins in decreasing order. 2 Initialize result as empty. 3 Find the largest denomination that is smaller than current amount. 4 Add found denomination to result. Subtract value of found denomination from amount. 5 If amount becomes 0, then print result. 6 Else repeat steps 3 and 4 for new value of V. More