Knowee
Questions
Features
Study Tools

Use Dynamic Programming to find the minimum number coins you can change for the given amount of money (W=7) using given coins(1,3,4,5).

Question

Use Dynamic Programming to find the minimum number coins you can change for the given amount of money (W=7) using given coins(1,3,4,5).

🧐 Not the exact question you are looking for?Go ask a question

Solution

Sure, here is a step-by-step solution using Dynamic Programming to find the minimum number of coins you can change for the given amount of money (W=7) using given coins(1,3,4,5).

Step 1: Initialize an array dp of size W+1 to store the minimum number of coins needed to make change for all values from 0 to W. Set dp[0] = 0 because no coins are needed to make change for 0.

Step 2: For each coin value, the coin cannot contribute to the solution of smaller amounts than its own value. So, start the iteration from the coin value till the amount W.

Step 3: For each amount i from 1 to W, compute the minimum number of coins needed. The minimum number of coins needed to make change for amount i is 1 (using coin of value i) plus the minimum number of coins needed to make change for amount (i - coin value).

Step 4: Store the minimum number of coins needed to make change for amount i in dp[i].

Step 5: Continue the process until we have computed dp[W], which will hold the result.

Here is the Python code for the above steps:

def minCoins(coins, W):
    dp = [0] + [float('inf')] * W
    for i in range(1, W+1):
        for coin in coins:
            if coin <= i:
                dp[i] = min(dp[i], dp[i-coin] + 1)
    return dp[W]

coins = [1,3,4,5]
W = 7
print(minCoins(coins, W))

This code will output 2, which is the minimum number of coins needed to make change for amount 7 using coins of values 1,3,4,5.

This problem has been solved

Similar Questions

Use Dynamic Programming to find the total number of ways you can change the given amount of money (W=5) using given coins(2,3,5).

Write a program that prints the minimum number of coins to make change for an amount of money.Usage: ./change centswhere cents is the amount of cents you need to give backif the number of arguments passed to your program is not exactly 1, print Error, followed by a new line, and return 1you should use atoi to parse the parameter passed to your programIf the number passed as the argument is negative, print 0, followed by a new lineYou can use an unlimited number of coins of values 25, 10, 5, 2, and 1 cent

Pranav is playing a coin game with his friends. Create a simple program to assist Pranav in converting a given amount of cash into the minimum number of coins. Prompt Pranav to input the cash amount and utilize assignment operators to calculate and display the minimum number of coins needed for denominations of 100, 50, 10, 5, 2, and 1. Assume these denominations as coins with values of 100, 50, 10, 5, 2, and 1, respectively

You are given an integer array coins representing coins of different denominations and an integer amount representing a total amount of money.Return the fewest number of coins that you need to make up that amount. If that amount of money cannot be made up by any combination of the coins, return -1.You may assume that you have an infinite number of each kind of coin. Example 1:Input: coins = [1,2,5], amount = 11Output: 3Explanation: 11 = 5 + 5 + 1Example 2:Input: coins = [2], amount = 3Output: -1Example 3:Input: coins = [1], amount = 0Output: 0 Constraints:1 <= coins.length <= 121 <= coins[i] <= 231 - 10 <= amount <= 104

Consider the problem of creating a particular monetary value using discrete coins, for example: making 15¢ from a 10¢ coin plus a 5¢ coin:denoms = { 1, 5, 10, 25}counts = { 3, 2, 2, 3}result = { 0, 1, 1, 0} // 5 cents + 10 cents = 15 cents For this problem I want to create 29¢ in change, and my cash drawer contains the following coins:denoms = { 1, 5, 10, 25}counts = { 3, 0, 0, 3}result = { 0, 0, 0, 0}(That is: three 1¢ coins and three 25¢ coins are available, but no 5¢ or 10¢ coins at this time, and I have NOT yet begun creating change.)Each step in the change-making process involves taking ONE coin from the counts array and adding it to my result array.Given this setup, which of the following is a valid next step in the process of attempting to make change?Group of answer choicesAdd one 1¢ coin to resultAdd one 5¢ coin to resultAdd one 10¢ coin to resultAdd one 25¢ coin to resultDeclare the 29¢ result impossible

1/2

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.