Co-authored-by: Oliver Eyton-Williams <ojeytonwilliams@gmail.com> Co-authored-by: Kristofer Koishigawa <scissorsneedfoodtoo@gmail.com> Co-authored-by: Beau Carnes <beaucarnes@gmail.com>
1.3 KiB
1.3 KiB
id, challengeType, isHidden, title, forumTopicId
id | challengeType | isHidden | title | forumTopicId |
---|---|---|---|---|
5900f3ba1000cf542c50fecd | 5 | false | Problem 78: Coin partitions | 302191 |
Description
Let p(n) represent the number of different ways in which n coins can be separated into piles. For example, five coins can be separated into piles in exactly seven different ways, so p(5)=7.
Coin piles |
---|
OOOOO |
OOOO O |
OOO OO |
OOO O O |
OO OO O |
OO O O O |
O O O O O |
Find the least value of n for which p(n) is divisible by one million.
Instructions
Tests
tests:
- text: <code>coinPartitions()</code> should return a number.
testString: assert(typeof coinPartitions() === 'number');
- text: <code>coinPartitions()</code> should return 55374.
testString: assert.strictEqual(coinPartitions(), 55374);
Challenge Seed
function coinPartitions() {
// Good luck!
return true;
}
coinPartitions();
Solution
// solution required