43 lines
1.1 KiB
Markdown
43 lines
1.1 KiB
Markdown
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---
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id: 5900f3f71000cf542c50ff0a
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title: 'Problem 139: Pythagorean tiles'
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challengeType: 5
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forumTopicId: 301767
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dashedName: problem-139-pythagorean-tiles
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---
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# --description--
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Let (a, b, c) represent the three sides of a right angle triangle with integral length sides. It is possible to place four such triangles together to form a square with length c.
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For example, (3, 4, 5) triangles can be placed together to form a 5 by 5 square with a 1 by 1 hole in the middle and it can be seen that the 5 by 5 square can be tiled with twenty-five 1 by 1 squares.
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However, if (5, 12, 13) triangles were used then the hole would measure 7 by 7 and these could not be used to tile the 13 by 13 square. Given that the perimeter of the right triangle is less than one-hundred million, how many Pythagorean triangles would allow such a tiling to take place?
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# --hints--
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`euler139()` should return 10057761.
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```js
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assert.strictEqual(euler139(), 10057761);
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```
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# --seed--
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## --seed-contents--
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```js
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function euler139() {
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return true;
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}
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euler139();
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```
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# --solutions--
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```js
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// solution required
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```
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