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From the following pseudocode, implement this algorithm using Python Application of Algorithm Change-making to amount n = 6 and coin denominations 1, 3, and 4

From the following pseudocode, implement this algorithm using Python Application of Algorithm Change-making to amount n = 6 and coin denominations 1, 3, and 4

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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From the following pseudocode, implement this algorithm using Python

Application of Algorithm Change-making to amount n = 6 and coin denominations 1, 3, and 4

 

F(n)= min {F (n – d;)} +1 for n > 0, j:nzd; F(0) = 0.
Transcribed Image Text:F(n)= min {F (n – d;)} +1 for n > 0, j:nzd; F(0) = 0.
Change-making Pseudocode ALGORITHM ChangeMaking(D[1..m], n) //Applies dynamic programming to find the minimum number of coins llof denominations d1 < d2 < · · · < dm where d1 = 1 that add up to a Ilgiven amount n //Input: Positive integer n and array D[1..m] of increasing positive // integers indicating the coin denominations where D[1]=1 //Output: The minimum number of coins that add up to n F[0] +0 for i + 1 to n do temp ∞;j<1 while j <m and i > D[j] do temp + min(F[i – D[j]], temp) j+j+1 F[i]+temp +1 return F[n] |
Transcribed Image Text:Change-making Pseudocode ALGORITHM ChangeMaking(D[1..m], n) //Applies dynamic programming to find the minimum number of coins llof denominations d1 < d2 < · · · < dm where d1 = 1 that add up to a Ilgiven amount n //Input: Positive integer n and array D[1..m] of increasing positive // integers indicating the coin denominations where D[1]=1 //Output: The minimum number of coins that add up to n F[0] +0 for i + 1 to n do temp ∞;j<1 while j <m and i > D[j] do temp + min(F[i – D[j]], temp) j+j+1 F[i]+temp +1 return F[n] |
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