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Problem D. Coin Change | Problems
Dynamic Programming
course content

Conteúdo do Curso

Dynamic Programming

Dynamic Programming

1. Intro to Dynamic Programming
2. Problems
3. Solutions

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

Tarefa

Implement the function and call it for the given test calls.

  1. How many ways to reach the K coins if you know the number of how to reach K-c[0], K-c[1], ... , K-c[m-1] coins?
  2. What is the least sum you can change using only one coin of c[0], c[1], ..., or c[-1]?

Tarefa

Implement the function and call it for the given test calls.

  1. How many ways to reach the K coins if you know the number of how to reach K-c[0], K-c[1], ... , K-c[m-1] coins?
  2. What is the least sum you can change using only one coin of c[0], c[1], ..., or c[-1]?

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Tudo estava claro?

Seção 2. Capítulo 4
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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

Tarefa

Implement the function and call it for the given test calls.

  1. How many ways to reach the K coins if you know the number of how to reach K-c[0], K-c[1], ... , K-c[m-1] coins?
  2. What is the least sum you can change using only one coin of c[0], c[1], ..., or c[-1]?

Tarefa

Implement the function and call it for the given test calls.

  1. How many ways to reach the K coins if you know the number of how to reach K-c[0], K-c[1], ... , K-c[m-1] coins?
  2. What is the least sum you can change using only one coin of c[0], c[1], ..., or c[-1]?

Mude para o desktop para praticar no mundo realContinue de onde você está usando uma das opções abaixo

Tudo estava claro?

Seção 2. Capítulo 4
toggle bottom row

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

Tarefa

Implement the function and call it for the given test calls.

  1. How many ways to reach the K coins if you know the number of how to reach K-c[0], K-c[1], ... , K-c[m-1] coins?
  2. What is the least sum you can change using only one coin of c[0], c[1], ..., or c[-1]?

Tarefa

Implement the function and call it for the given test calls.

  1. How many ways to reach the K coins if you know the number of how to reach K-c[0], K-c[1], ... , K-c[m-1] coins?
  2. What is the least sum you can change using only one coin of c[0], c[1], ..., or c[-1]?

Mude para o desktop para praticar no mundo realContinue de onde você está usando uma das opções abaixo

Tudo estava claro?

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

Tarefa

Implement the function and call it for the given test calls.

  1. How many ways to reach the K coins if you know the number of how to reach K-c[0], K-c[1], ... , K-c[m-1] coins?
  2. What is the least sum you can change using only one coin of c[0], c[1], ..., or c[-1]?

Mude para o desktop para praticar no mundo realContinue de onde você está usando uma das opções abaixo
Seção 2. Capítulo 4
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