How do you find the minimum amount of coins?
Algorithm:
- Sort the array of coins in decreasing order.
- Initialize result as empty.
- Find the largest denomination that is smaller than current amount.
- Add found denomination to result. Subtract value of found denomination from amount.
- If amount becomes 0, then print result.
- Else repeat steps 3 and 4 for new value of V.
What is the least number of coins?
11 coins is the fewest. 0.01 + 0.05 + 0.1 + 0.25 = 0.41 we need 59 more pennies so 60 pennies, and 1 nickel, dime, and quarter gives 63 coins being the most.
What is the minimum number of coins required to achieve a sum of 10?
But, the optimal answer is two coins {3,3}. Similarly, four coins {4,4,1,1} will be selected to make a sum of 10. But, the optimal answer is three coins {4,3,3}.
What is the smallest number of coins needed to make 47 cents?
For 47 cents, one way to use a minimal number of coins is 1 quarter, 2 dimes, and 2 pennies.
What coins make 99 cents?
The answer is 10 coins, 3 Quarters, 1 dime, 2 nickel, and 4 pennies. With this combination you can produce any number between 1-99 cents. An alternative answer would be 6 coins, 3 Quarters, 2 dimes and 1 nickel. In this example you will range most change between 5-95 cents, in 5 cents increments.
What is coin changing problem give example?
Example 1: Suppose you are given the coins 1 cent, 5 cents, and 10 cents with N = 8 cents, what are the total number of combinations of the coins you can arrange to obtain 8 cents. Input: N=8 Coins : 1, 5, 10 Output: 2 Explanation: 1 way: 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 8 cents. 2 way: 1 + 1 + 1 + 5 = 8 cents.
How can I be good at DP?
7 Steps to solve a Dynamic Programming problem
- How to recognize a DP problem.
- Identify problem variables.
- Clearly express the recurrence relation.
- Identify the base cases.
- Decide if you want to implement it iteratively or recursively.
- Add memoization.
- Determine time complexity.
What is optimality principle?
Principle of Optimality. Definition: A problem is said to satisfy the Principle of Optimality if the subsolutions of an optimal solution of the problem are themesleves optimal solutions for their subproblems. Examples: The shortest path problem satisfies the Principle of Optimality.
How much spare change should I carry?
So what is the fewest number of coins you can carry that allows you to produce any exact change? The answer is 10 coins, 3 Quarters, 1 dime, 2 nickel, and 4 pennies. With this combination you can produce any number between 1-99 cents. An alternative answer would be 6 coins, 3 Quarters, 2 dimes and 1 nickel.
What coins make up 47 cents?
Notes
- dime and 37 pennies.
- dimes and 27 pennies.
- dimes and 17 pennies.
- dimes and 7 pennies.
What 6 coins make 40 cents?
Counting Money
| A | B |
|---|---|
| 1 nickel + 1 penny = | 6 cents |
| 5 pennies + 1 nickel = | 10 cents |
| 4 dimes = | 40 cents |
| 5 nickels = | 25 cents |
How much does it cost to make a dime 2021?
Mint made money in striking dimes, quarters, and half dollars because the cost of manufacturing and distributing them was lower than their face values. In FY2021, the unit cost for the quarter increased to 9.63 cents from 8.62 cents and the dime’s unit cost rose to 4.39 cents from 3.73 cents.
How do you make money from coin changes?
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