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Project Euler 021 #1191
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b7309f0
📦 NEW: Added solution for ProjectEuler-007
omkarnathparida d3a3b33
🐛 FIX: Spelling mistake fixes
omkarnathparida e9b5a6a
👌 IMPROVE: changed variable name from `inc` to `candidateValue` and t...
omkarnathparida e99c722
👌 IMPROVE: Modified the code
omkarnathparida 5ac898f
Merge branch 'TheAlgorithms:master' into master
pomkarnath98 0f9f1ba
👌 IMPROVE: Added test case for ProjectEuler Problem001
omkarnathparida b06c09b
📦 NEW: Added solution for Project Euler-021
omkarnathparida 959b0b6
Updated Documentation in README.md
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Merge branch 'TheAlgorithms:master' into master
pomkarnath98 9412130
Merge branch 'master' into project-euler-021
omkarnathparida 35ecee1
Updated Documentation in README.md
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Merge branch 'TheAlgorithms:master' into master
pomkarnath98 6693f9c
Merge branch 'TheAlgorithms:master' into master
pomkarnath98 d6eb962
🐛 FIX: Some fixes
omkarnathparida 0830570
Merge branch 'TheAlgorithms:master' into master
pomkarnath98 4017f55
📦 NEW: Added solution for Project Euler-021
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Updated Documentation in README.md
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🐛 FIX: Some fixes
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Merge branch 'project-euler-021' of https://github.com/pomkarnath98/J...
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/** | ||
* Amicable numbers | ||
* | ||
* P.S.(Project Euler - 021): | ||
* Let d(n) be defined as the sum of proper divisors of n (numbers less than n which divide evenly into n). | ||
* If d(a) = b and d(b) = a, where a ≠ b, then a and b are an amicable pair and each of a and b are called amicable numbers. | ||
* | ||
* For example, the proper divisors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55 and 110; | ||
* therefore d(220) = 284. The proper divisors of 284 are 1, 2, 4, 71 and 142; so d(284) = 220. | ||
* | ||
* Evaluate the sum of all the amicable numbers under 10000. | ||
* | ||
* @param {Number} maxNum | ||
* @returns {Number} Sum of all amicable numbers under maxNum | ||
*/ | ||
export const sumAmicableNums = (maxNum) => { | ||
const amicNums = [] | ||
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for (let i = 1; i < maxNum; i++) { | ||
const left = d(i) | ||
const right = d(left) | ||
if (i === right && i !== left && amicNums.indexOf(i) === -1) { | ||
amicNums.push(i, left) | ||
} | ||
} | ||
return amicNums.reduce((a, b) => a + b, 0) | ||
} | ||
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const d = (num) => { | ||
const output = [] | ||
for (let i = 1; i < num; i++) { | ||
if (num % i === 0) { output.push(i) } | ||
} | ||
return output.reduce((a, b) => a + b, 0) | ||
} |
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import { sumAmicableNums } from '../Problem021.js' | ||
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describe('Amicable numbers', () => { | ||
// Project Euler Condition Check | ||
test('if the limit is 10000', () => { | ||
expect(sumAmicableNums(10000)).toBe(31626) | ||
}) | ||
}) |
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