coin-change

Dynamic Programming Solution for a Variant of Coin Exchange

喜夏-厌秋 提交于 2019-12-03 19:42:33
问题 I am practicing Dynamic Programming. I am focusing on the following variant of the coin exchange problem: Let S = [1, 2, 6, 12, 24, 48, 60] be a constant set of integer coin denominations. Let n be a positive integer amount of money attainable via coins in S . Consider two persons A and B . In how many different ways can I split n among persons A and B so that each person gets the same amount of coins (disregarding the actual amount of money each gets)? Example n = 6 can be split into 4

Python function: Find Change from purchase amount

倾然丶 夕夏残阳落幕 提交于 2019-12-02 13:32:02
I'm looking for the most efficient way to figure out a change amount (Quarters, dimes, nickels, and pennies) from a purchase amount. The purchase amount must be less than $1, and the change is from one dollar. I need to know how many quarters, dimes, nickels, and pennies someone would get back. Would it be best to set up a dictionary? Gee, you mean this isn't problem 2b in every programming course any more? Eh, probably not, they don't seem to teach people how to make change any more either. (Or maybe they do: is this a homework assignment?) If you find someone over about 50 and have them make

how do you calculate the minimum-coin change for transaction?

ε祈祈猫儿з 提交于 2019-12-02 11:52:26
Hey everyone. I have a question. I am working on Visual Basic Express and I am supposed to calculate the change from a transaction. Now what code would I use? I have it partly working but its starting to get a little confusing. Thank you. For you guys who wanted more information: Say I have one dollar and I go to the store to purchase something. I have to ask the user to put in the amount they spent and then calculate the change and print to the screen. Then I am supposed to use the least number of quarters, dimes nickels and pennies and print it to screen. Any help would be greatly

Recursively find all coin combinations that produces a specified amount

六眼飞鱼酱① 提交于 2019-12-02 08:07:50
My apologies in advance. I'm aware that this question has been asked before with answers that have not produced the results I want/need. I am making an attempt to write a function that does the following in Python3: I need a recursive function that returns all the number of ways (coin combinations) that produce a specified amount. This function can only contain two arguments, amount and coins. I've had a difficult time wrapping my mind around recursion, so explanations would also be greatly appreciated. Thanks. Here's what I currently have: COINS = dict( USA=[100, 50, 25, 10, 5, 1], AUSTRALIA=

Dynamic Programming Solution for a Variant of Coin Exchange

限于喜欢 提交于 2019-11-30 10:47:56
I am practicing Dynamic Programming. I am focusing on the following variant of the coin exchange problem: Let S = [1, 2, 6, 12, 24, 48, 60] be a constant set of integer coin denominations. Let n be a positive integer amount of money attainable via coins in S . Consider two persons A and B . In how many different ways can I split n among persons A and B so that each person gets the same amount of coins (disregarding the actual amount of money each gets)? Example n = 6 can be split into 4 different ways per person: Person A gets {2, 2} and person B gets {1, 1}. Person A gets {2, 1} and person B

SICP example: Counting change, cannot understand

老子叫甜甜 提交于 2019-11-28 23:36:15
I am a beginner following SICP course on MIT OpenCourseWare using both the video lectures and the book available online. Yesterday I came across an example, which ask if we can write a procedure to compute the number of ways to change any given amount of money. This problem has a simple solution as a recursive procedure: (define (count-change amount) (cc amount 5)) (define (cc amount kinds-of-coins) (cond ((= amount 0) 1) ((or (< amount 0) (= kinds-of-coins 0)) 0) (else (+ (cc amount (- kinds-of-coins 1)) (cc (- amount (first-denomination kinds-of-coins)) kinds-of-coins))))) (define (first

Coin change problem with infinite number of coins of each denomination

半城伤御伤魂 提交于 2019-11-28 08:50:51
I want to know the idea of algorithm for the coin change problem where each denomination has infinte number of coins. Means how to apply DP (like the standard coin change problem) For e.g in set 1,10,15, change for 35 gives--2 coins of 10 and one coin of 15 Also give me an idea of brute forcing algorithm for this. I know to iterate over all the sets. But how to vary the number of each coin while brute forcing I would think about building the solution one step at a time, inductively: Coins available are 1c, 5c, 10c, 25c (you can tweak them according to your needs) Minimun coins for 1c = 1 X 1c.

SICP example: Counting change, cannot understand

只谈情不闲聊 提交于 2019-11-27 15:05:08
问题 I am a beginner following SICP course on MIT OpenCourseWare using both the video lectures and the book available online. Yesterday I came across an example, which ask if we can write a procedure to compute the number of ways to change any given amount of money. This problem has a simple solution as a recursive procedure: (define (count-change amount) (cc amount 5)) (define (cc amount kinds-of-coins) (cond ((= amount 0) 1) ((or (< amount 0) (= kinds-of-coins 0)) 0) (else (+ (cc amount (- kinds

Coin change problem with infinite number of coins of each denomination

那年仲夏 提交于 2019-11-27 02:28:14
问题 I want to know the idea of algorithm for the coin change problem where each denomination has infinte number of coins. Means how to apply DP (like the standard coin change problem) For e.g in set 1,10,15, change for 35 gives--2 coins of 10 and one coin of 15 Also give me an idea of brute forcing algorithm for this. I know to iterate over all the sets. But how to vary the number of each coin while brute forcing 回答1: I would think about building the solution one step at a time, inductively:

How to find all combinations of coins when given some dollar value

橙三吉。 提交于 2019-11-26 05:49:53
问题 I found a piece of code that I was writing for interview prep few months ago. According to the comment I had, it was trying to solve this problem: Given some dollar value in cents (e.g. 200 = 2 dollars, 1000 = 10 dollars), find all the combinations of coins that make up the dollar value. There are only pennies (1¢), nickels (5¢), dimes (10¢), and quarters (25¢) allowed. For example, if 100 was given, the answer should be: 4 quarter(s) 0 dime(s) 0 nickel(s) 0 pennies 3 quarter(s) 1 dime(s) 0