# What do you mean by making change problem in algorithm?

## What do you mean by making change problem in algorithm?

The change making problem is an optimization problem that asks “What is the minimum number of coins I need to make up a specific total?” The input to the Change Making Problem is a sequence of positive integers [d1, d2, d3 dn] and T , where di represents a coin denomination and T is the target amount.

## How do you solve change problems?

How to Solve Making Change using Dynamic Programming?

1. Conventional / greedy approach selects largest denomination first which is not greater than remaining amount.
2. If current denomination is not possible to select then select second largest denomination and so on.
3. However this approach may fail to find best solution.

What is making change problem dynamic programming?

Coin Change Problem Solution Using Dynamic Programming The size of the dynamicprogTable is equal to (number of coins +1)*(Sum +1). The first column value is one because there is only one way to change if the total amount is 0. (we do not include any coin). Row: The total number of coins.

Which of following algorithmic approach is best suitable for change making problem?

A Greedy algorithm is one of the problem-solving methods which takes optimal solution in each step. The Greedy algorithm attempts to take the best in each step and it doesn’t care about the overall result.

### What is change making problem with example?

The change-making problem addresses the question of finding the minimum number of coins (of certain denominations) that add up to a given amount of money. It is a special case of the integer knapsack problem, and has applications wider than just currency.

### Is coin change a knapsack problem?

The coin-change problem resembles the 0-1 Knapsack Problem in Dynamic Programming. It has two versions: Finding the minimum number of coins, of certain denominations, required to make a given sum. Finding the total number of possible ways a given sum can be made from a given set of coins.

What will be the area of trapezium?

A trapezium, also known as a trapezoid, is a quadrilateral in which a pair of sides are parallel, but the other pair of opposite sides are non-parallel. The area of a trapezium is computed with the following formula: Area = 1 2 × Sum of parallel sides × Distance between them .

Is coin change a greedy algorithm?

The famous coin change problem is a classic example of using greedy algorithms. Let’s understand what the problem is. According to the coin change problem, we are given a set of coins of various denominations. Consider the below array as the set of coins where each element is basically a denomination.

#### What is cashier’s algorithm?

Cashier’s algorithm. At each iteration, add coin of the largest value that does not take us past the amount to be paid. Cashier’s algorithm. At each iteration, add coin of the largest value that does not take us past the amount to be paid.

#### Is coin change problem Dynamic Programming?

One of the problems most commonly used to explain dynamic programming is the Coin Change problem. The problem is as follows. You are given an integer array “coins” representing coins of different denominations and an integer “amount” representing a total amount of money.

How many ways can you make change in a math problem?

Unit of Currency Number of Ways to Make Change
\$1 292
\$2 2,728
\$5 111,022
\$10 3,237,134 