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Problem D. Coin Change | Solutions
Dynamic Programming
course content

Contenido del Curso

Dynamic Programming

Dynamic Programming

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

bookProblem D. Coin Change

Imagine you got N cents as combination of some coins, and the last added coin was C. Then, number of possible combinations dp[N] is equal to dp[N-C]. Consider that you can reach N cents by adding either c[0], c[1], ... ,c[m-1] cents, so number of possible combinations is:

dp[N] = dp[N-c[0]] + dp[N-c[1]] + ... + dp[N-c[m-1]]

Note that value of N-c[i] must be non-negative. Let's use tabulation: for values j from coin up to N: update dp[j] with adding dp[j-coin]; repeat for each coin.

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def coinChange(n , coins): dp = [0 for _ in range(n+1)] dp[0] = 1 for i in range(len(coins)): for j in range(coins[i], n+1): dp[j] += dp[j-coins[i]] return dp[n] print(coinChange(14, [1,2,3,7])) print(coinChange(100, [2,3,5,7,11]))
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¿Todo estuvo claro?

¿Cómo podemos mejorarlo?

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Sección 3. Capítulo 4
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bookProblem D. Coin Change

Imagine you got N cents as combination of some coins, and the last added coin was C. Then, number of possible combinations dp[N] is equal to dp[N-C]. Consider that you can reach N cents by adding either c[0], c[1], ... ,c[m-1] cents, so number of possible combinations is:

dp[N] = dp[N-c[0]] + dp[N-c[1]] + ... + dp[N-c[m-1]]

Note that value of N-c[i] must be non-negative. Let's use tabulation: for values j from coin up to N: update dp[j] with adding dp[j-coin]; repeat for each coin.

12345678910
def coinChange(n , coins): dp = [0 for _ in range(n+1)] dp[0] = 1 for i in range(len(coins)): for j in range(coins[i], n+1): dp[j] += dp[j-coins[i]] return dp[n] print(coinChange(14, [1,2,3,7])) print(coinChange(100, [2,3,5,7,11]))
copy

Switch to desktopCambia al escritorio para practicar en el mundo realContinúe desde donde se encuentra utilizando una de las siguientes opciones
¿Todo estuvo claro?

¿Cómo podemos mejorarlo?

¡Gracias por tus comentarios!

Sección 3. Capítulo 4
toggle bottom row

bookProblem D. Coin Change

Imagine you got N cents as combination of some coins, and the last added coin was C. Then, number of possible combinations dp[N] is equal to dp[N-C]. Consider that you can reach N cents by adding either c[0], c[1], ... ,c[m-1] cents, so number of possible combinations is:

dp[N] = dp[N-c[0]] + dp[N-c[1]] + ... + dp[N-c[m-1]]

Note that value of N-c[i] must be non-negative. Let's use tabulation: for values j from coin up to N: update dp[j] with adding dp[j-coin]; repeat for each coin.

12345678910
def coinChange(n , coins): dp = [0 for _ in range(n+1)] dp[0] = 1 for i in range(len(coins)): for j in range(coins[i], n+1): dp[j] += dp[j-coins[i]] return dp[n] print(coinChange(14, [1,2,3,7])) print(coinChange(100, [2,3,5,7,11]))
copy

Switch to desktopCambia al escritorio para practicar en el mundo realContinúe desde donde se encuentra utilizando una de las siguientes opciones
¿Todo estuvo claro?

¿Cómo podemos mejorarlo?

¡Gracias por tus comentarios!

Imagine you got N cents as combination of some coins, and the last added coin was C. Then, number of possible combinations dp[N] is equal to dp[N-C]. Consider that you can reach N cents by adding either c[0], c[1], ... ,c[m-1] cents, so number of possible combinations is:

dp[N] = dp[N-c[0]] + dp[N-c[1]] + ... + dp[N-c[m-1]]

Note that value of N-c[i] must be non-negative. Let's use tabulation: for values j from coin up to N: update dp[j] with adding dp[j-coin]; repeat for each coin.

12345678910
def coinChange(n , coins): dp = [0 for _ in range(n+1)] dp[0] = 1 for i in range(len(coins)): for j in range(coins[i], n+1): dp[j] += dp[j-coins[i]] return dp[n] print(coinChange(14, [1,2,3,7])) print(coinChange(100, [2,3,5,7,11]))
copy

Switch to desktopCambia al escritorio para practicar en el mundo realContinúe desde donde se encuentra utilizando una de las siguientes opciones
Sección 3. Capítulo 4
Switch to desktopCambia al escritorio para practicar en el mundo realContinúe desde donde se encuentra utilizando una de las siguientes opciones
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