115 lines
3.0 KiB
Markdown
115 lines
3.0 KiB
Markdown
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---
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title: Department Numbers
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id: 59f40b17e79dbf1ab720ed7a
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challengeType: 5
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---
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## Description
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<section id='description'>
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<p>There is a highly organized city that has decided to assign a number to each of their departments:</p>
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Police department
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Sanitation department
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Fire department
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<p>Each department can have a number between 1 and 7 (inclusive).</p><p>The three department numbers are to be unique (different from each other) and must add up to the number 12.</p><p>The Chief of the Police doesn't like odd numbers and wants to have an even number for his department.</p>
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Task:
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<p>Write a program which outputs all valid combinations:</p>
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<p>[2, 3, 7]</p>
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<p>[2, 4, 6]</p>
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<p>[2, 6, 4]</p>
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<p>[2, 7, 3]</p>
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<p>[4, 1, 7]</p>
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<p>[4, 2, 6]</p>
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<p>[4, 3, 5]</p>
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<p>[4, 5, 3]</p>
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<p>[4, 6, 2]</p>
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<p>[4, 7, 1]</p>
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<p>[6, 1, 5]</p>
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<p>[6, 2, 4]</p>
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<p>[6, 4, 2]</p>
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<p>[6, 5, 1]</p>
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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>combinations</code> should be a function.
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testString: 'assert(typeof combinations === ''function'', ''<code>combinations</code> should be a function.'');'
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- text: '<code>combinations([1, 2, 3], 6)</code> should return an Array.'
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testString: 'assert(Array.isArray(combinations([1, 2, 3], 6)), ''<code>combinations([1, 2, 3], 6)</code> should return an Array.'');'
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- text: '<code>combinations([1, 2, 3, 4, 5, 6, 7], 12)</code> should return an array of length 14.'
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testString: 'assert(combinations(nums, total).length === len, ''<code>combinations([1, 2, 3, 4, 5, 6, 7], 12)</code> should return an array of length 14.'');'
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- text: '<code>combinations([1, 2, 3, 4, 5, 6, 7], 12)</code> should return all valid combinations.'
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testString: 'assert.deepEqual(combinations(nums, total), result, ''<code>combinations([1, 2, 3, 4, 5, 6, 7], 12)</code> should return all valid combinations.'');'
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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 combinations (possibleNumbers, total) {
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// Good luck!
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return true;
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}
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```
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</div>
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### After Test
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<div id='js-teardown'>
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```js
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console.info('after the test');
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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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function combinations (possibleNumbers, total) {
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let firstNumber;
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let secondNumber;
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let thridNumber;
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const allCombinations = [];
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for (let i = 0; i < possibleNumbers.length; i += 1) {
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firstNumber = possibleNumbers[i];
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if (firstNumber % 2 === 0) {
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for (let j = 0; j < possibleNumbers.length; j += 1) {
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secondNumber = possibleNumbers[j];
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if (j !== i && firstNumber + secondNumber <= total) {
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thridNumber = total - firstNumber - secondNumber;
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if (thridNumber !== firstNumber && thridNumber !== secondNumber && possibleNumbers.includes(thridNumber)) {
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allCombinations.push([firstNumber, secondNumber, thridNumber]);
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}
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}
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}
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}
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}
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return allCombinations;
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}
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```
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</section>
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