2022-01-21 01:00:18 +05:30
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---
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id: 5900f46e1000cf542c50ff81
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2022-01-22 20:38:20 +05:30
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title: '問題 258: ラグ付きフィボナッチ数列'
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2022-01-21 01:00:18 +05:30
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challengeType: 5
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forumTopicId: 301906
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dashedName: problem-258-a-lagged-fibonacci-sequence
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---
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# --description--
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2022-01-22 20:38:20 +05:30
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数列を次のように定義します。
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2022-01-21 01:00:18 +05:30
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2022-01-22 20:38:20 +05:30
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- $0 ≤ k ≤ 1999$ のとき、$g_k = 1$
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- $k ≥ 2000$ のとき、$g_k = g_{k - 2000} + g_{k - 1999}$
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2022-01-21 01:00:18 +05:30
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2022-01-22 20:38:20 +05:30
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$k = {10}^{18} $ のとき、$g_k$ mod 20092010 を求めなさい。
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2022-01-21 01:00:18 +05:30
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# --hints--
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2022-01-22 20:38:20 +05:30
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`laggedFibonacciSequence()` は `12747994` を返す必要があります。
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2022-01-21 01:00:18 +05:30
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```js
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assert.strictEqual(laggedFibonacciSequence(), 12747994);
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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 laggedFibonacciSequence() {
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return true;
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}
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laggedFibonacciSequence();
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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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