All Questions
Tagged with integer-partitions algorithms
6
questions
15
votes
5
answers
14k
views
Algorithm for generating integer partitions up to a certain maximum length
I'm looking for a fast algorithm for generating all the partitions of an integer up to a certain maximum length; ideally, I don't want to have to generate all of them and then discard the ones that ...
- 757
6
votes
2
answers
2k
views
How can I reduce a number?
I'm trying to work on a program and I think I've hit a math problem (if it's not, please let me know, sorry). Basically what I'm doing is taking a number and using a universe of numbers and I'm ...
- 419
14
votes
2
answers
5k
views
For what coinage systems does a greedy algorithm not work in providing change?
For the United States coinage system, a greedy algorithm nicely allows for an algorithm that provides change in the least amount of coins.
However, for a coinage system with 12 cent coins, a greedy ...
- 3,445
9
votes
1
answer
5k
views
On problems of coins totaling to a given amount
I don't know the proper terms to type into Google, so please pardon me for asking here first.
While jingling around a few coins, I realized that one nice puzzle might be to figure out which $n$ or so ...
user7055
2
votes
1
answer
531
views
Number of integer partitions
Let's $N$ be a positive integer and $P$ - set of all possible partitions of the $N$, where $p = (a_1,a_2,...,a_n)$ with $a_1\le a_2 \le ... \le a_n$ and $a_1+a_2+...+a_n = N$. Let's $A$ be the number ...
- 53
1
vote
1
answer
3k
views
Coin Change Problem with Fixed Coins
Problem: Given $n$ coin denominations, with $c_1<c_2<c_3<\cdots<c_{n}$ being positive integer numbers, and a number $X$, we want to know whether the number $X$ can be changed by $N$ coins.
...
- 61