47 lines
857 B
Markdown
47 lines
857 B
Markdown
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---
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id: 5900f4a21000cf542c50ffb5
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title: 'Problem 310: Nim Square'
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challengeType: 5
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forumTopicId: 301966
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dashedName: problem-310-nim-square
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---
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# --description--
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Alice and Bob play the game Nim Square.
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Nim Square is just like ordinary three-heap normal play Nim, but the players may only remove a square number of stones from a heap.
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The number of stones in the three heaps is represented by the ordered triple (a,b,c).
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If 0≤a≤b≤c≤29 then the number of losing positions for the next player is 1160.
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Find the number of losing positions for the next player if 0≤a≤b≤c≤100 000.
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# --hints--
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`euler310()` should return 2586528661783.
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```js
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assert.strictEqual(euler310(), 2586528661783);
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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 euler310() {
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return true;
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}
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euler310();
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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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