79d9012432
* fix(curriculum): tests quotes * fix(curriculum): fill seed-teardown * fix(curriculum): fix tests and remove unneeded seed-teardown
87 lines
1.7 KiB
Markdown
87 lines
1.7 KiB
Markdown
---
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id: 5900f4361000cf542c50ff48
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challengeType: 5
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title: 'Problem 201: Subsets with a unique sum'
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---
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## Description
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<section id='description'>
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For any set A of numbers, let sum(A) be the sum of the elements of A.
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Consider the set B = {1,3,6,8,10,11}. There are 20 subsets of B containing three elements, and their sums are:
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sum({1,3,6}) = 10,
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sum({1,3,8}) = 12,
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sum({1,3,10}) = 14,
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sum({1,3,11}) = 15,
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sum({1,6,8}) = 15,
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sum({1,6,10}) = 17,
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sum({1,6,11}) = 18,
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sum({1,8,10}) = 19,
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sum({1,8,11}) = 20,
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sum({1,10,11}) = 22,
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sum({3,6,8}) = 17,
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sum({3,6,10}) = 19,
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sum({3,6,11}) = 20,
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sum({3,8,10}) = 21,
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sum({3,8,11}) = 22,
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sum({3,10,11}) = 24,
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sum({6,8,10}) = 24,
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sum({6,8,11}) = 25,
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sum({6,10,11}) = 27,
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sum({8,10,11}) = 29.
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Some of these sums occur more than once, others are unique.
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For a set A, let U(A,k) be the set of unique sums of k-element subsets of A, in our example we find U(B,3) = {10,12,14,18,21,25,27,29} and sum(U(B,3)) = 156.
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Now consider the 100-element set S = {12, 22, ... , 1002}.
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S has 100891344545564193334812497256 50-element subsets.
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Determine the sum of all integers which are the sum of exactly one of the 50-element subsets of S, i.e. find sum(U(S,50)).
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</section>
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## Instructions
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<section id='instructions'>
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</section>
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## Tests
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<section id='tests'>
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```yml
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tests:
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- text: <code>euler201()</code> should return 115039000.
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testString: assert.strictEqual(euler201(), 115039000, '<code>euler201()</code> should return 115039000.');
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```
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</section>
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## Challenge Seed
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<section id='challengeSeed'>
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<div id='js-seed'>
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```js
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function euler201() {
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// Good luck!
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return true;
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}
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euler201();
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```
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</div>
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</section>
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## Solution
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<section id='solution'>
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```js
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// solution required
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```
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</section>
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