2018-09-30 22:01:58 +00:00
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---
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id: 5900f4671000cf542c50ff7a
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title: 'Problem 251: Cardano Triplets'
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2020-11-27 18:02:05 +00:00
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challengeType: 5
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2019-08-05 16:17:33 +00:00
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forumTopicId: 301899
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2021-01-13 02:31:00 +00:00
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dashedName: problem-251-cardano-triplets
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2018-09-30 22:01:58 +00:00
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---
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2020-11-27 18:02:05 +00:00
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# --description--
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2018-09-30 22:01:58 +00:00
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2020-11-27 18:02:05 +00:00
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A triplet of positive integers (a,b,c) is called a Cardano Triplet if it satisfies the condition:
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2018-09-30 22:01:58 +00:00
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For example, (2,1,5) is a Cardano Triplet.
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There exist 149 Cardano Triplets for which a+b+c ≤ 1000.
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Find how many Cardano Triplets exist such that a+b+c ≤ 110,000,000.
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2020-11-27 18:02:05 +00:00
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# --hints--
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2018-09-30 22:01:58 +00:00
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2020-11-27 18:02:05 +00:00
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`euler251()` should return 18946051.
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2018-09-30 22:01:58 +00:00
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2020-11-27 18:02:05 +00:00
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```js
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assert.strictEqual(euler251(), 18946051);
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2018-09-30 22:01:58 +00:00
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```
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2020-11-27 18:02:05 +00:00
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# --seed--
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2018-09-30 22:01:58 +00:00
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2020-11-27 18:02:05 +00:00
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## --seed-contents--
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2018-09-30 22:01:58 +00:00
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```js
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function euler251() {
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2020-09-15 16:57:40 +00:00
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2018-09-30 22:01:58 +00:00
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return true;
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}
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euler251();
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```
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2020-11-27 18:02:05 +00:00
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# --solutions--
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2018-09-30 22:01:58 +00:00
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```js
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// solution required
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```
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