Course Content
Dynamic Programming
Dynamic Programming
Problem D. Coin Change
The tasks in this section contain test function calls. Please do not change this code; otherwise, the assignment may not be accepted.
The problem is to find the possible number of ways to get N cents with coins of different denominations. Imagine you have an infinite amount of coins valued c[0], c[1], c[2], …, c[m-1] – some values (for example, coins of 1, 2, 5, and 10 cents; these values are stored to input as an array).
You can combine these coins to achieve N cents in sum. Calculate the number of possible variations.
Order does not matter, i. e. for N=10 combinations 1+2+2+5, 2+1+2+5, and 5+2+1+2 are equal.
Example 1: N = 5, coins = [1,2,5] -> 4
There are 4 ways to combine coins: 5=1+1+1+1+1, 5=1+1+1+2, 5=1+2+2, 5=5.
Example 2: N=4, coins=[1,2,3,7] -> 4
Answer is 4: 4=1+1+1+1, 4=2+2, 4=1+3, 4=1+1+2
Example 3: N=100, coins = [1,3,5,7,10] -> 6426
Task
Implement the function and call it for the given test calls.
- How many ways to reach the
Kcoins if you know the number of how to reachK-c[0],K-c[1], ... ,K-c[m-1]coins? - What is the least sum you can change using only one coin of
c[0],c[1], ..., orc[-1]?
Switch to desktop for real-world practiceContinue from where you are using one of the options belowThanks for your feedback!
Problem D. Coin Change
The tasks in this section contain test function calls. Please do not change this code; otherwise, the assignment may not be accepted.
The problem is to find the possible number of ways to get N cents with coins of different denominations. Imagine you have an infinite amount of coins valued c[0], c[1], c[2], …, c[m-1] – some values (for example, coins of 1, 2, 5, and 10 cents; these values are stored to input as an array).
You can combine these coins to achieve N cents in sum. Calculate the number of possible variations.
Order does not matter, i. e. for N=10 combinations 1+2+2+5, 2+1+2+5, and 5+2+1+2 are equal.
Example 1: N = 5, coins = [1,2,5] -> 4
There are 4 ways to combine coins: 5=1+1+1+1+1, 5=1+1+1+2, 5=1+2+2, 5=5.
Example 2: N=4, coins=[1,2,3,7] -> 4
Answer is 4: 4=1+1+1+1, 4=2+2, 4=1+3, 4=1+1+2
Example 3: N=100, coins = [1,3,5,7,10] -> 6426
Task
Implement the function and call it for the given test calls.
- How many ways to reach the
Kcoins if you know the number of how to reachK-c[0],K-c[1], ... ,K-c[m-1]coins? - What is the least sum you can change using only one coin of
c[0],c[1], ..., orc[-1]?
Switch to desktop for real-world practiceContinue from where you are using one of the options belowThanks for your feedback!
Problem D. Coin Change
The tasks in this section contain test function calls. Please do not change this code; otherwise, the assignment may not be accepted.
The problem is to find the possible number of ways to get N cents with coins of different denominations. Imagine you have an infinite amount of coins valued c[0], c[1], c[2], …, c[m-1] – some values (for example, coins of 1, 2, 5, and 10 cents; these values are stored to input as an array).
You can combine these coins to achieve N cents in sum. Calculate the number of possible variations.
Order does not matter, i. e. for N=10 combinations 1+2+2+5, 2+1+2+5, and 5+2+1+2 are equal.
Example 1: N = 5, coins = [1,2,5] -> 4
There are 4 ways to combine coins: 5=1+1+1+1+1, 5=1+1+1+2, 5=1+2+2, 5=5.
Example 2: N=4, coins=[1,2,3,7] -> 4
Answer is 4: 4=1+1+1+1, 4=2+2, 4=1+3, 4=1+1+2
Example 3: N=100, coins = [1,3,5,7,10] -> 6426
Task
Implement the function and call it for the given test calls.
- How many ways to reach the
Kcoins if you know the number of how to reachK-c[0],K-c[1], ... ,K-c[m-1]coins? - What is the least sum you can change using only one coin of
c[0],c[1], ..., orc[-1]?
Switch to desktop for real-world practiceContinue from where you are using one of the options belowThanks for your feedback!
The tasks in this section contain test function calls. Please do not change this code; otherwise, the assignment may not be accepted.
The problem is to find the possible number of ways to get N cents with coins of different denominations. Imagine you have an infinite amount of coins valued c[0], c[1], c[2], …, c[m-1] – some values (for example, coins of 1, 2, 5, and 10 cents; these values are stored to input as an array).
You can combine these coins to achieve N cents in sum. Calculate the number of possible variations.
Order does not matter, i. e. for N=10 combinations 1+2+2+5, 2+1+2+5, and 5+2+1+2 are equal.
Example 1: N = 5, coins = [1,2,5] -> 4
There are 4 ways to combine coins: 5=1+1+1+1+1, 5=1+1+1+2, 5=1+2+2, 5=5.
Example 2: N=4, coins=[1,2,3,7] -> 4
Answer is 4: 4=1+1+1+1, 4=2+2, 4=1+3, 4=1+1+2
Example 3: N=100, coins = [1,3,5,7,10] -> 6426
Task
Implement the function and call it for the given test calls.
- How many ways to reach the
Kcoins if you know the number of how to reachK-c[0],K-c[1], ... ,K-c[m-1]coins? - What is the least sum you can change using only one coin of
c[0],c[1], ..., orc[-1]?
Switch to desktop for real-world practiceContinue from where you are using one of the options belowSwitch to desktop for real-world practiceContinue from where you are using one of the options below