2022-01-20 19:30:18 +00:00
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---
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id: 5900f4af1000cf542c50ffc1
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2022-01-22 15:08:20 +00:00
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title: '問題 322: 10 で割り切れる二項係数'
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2022-01-20 19:30:18 +00:00
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challengeType: 5
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forumTopicId: 301979
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dashedName: problem-322-binomial-coefficients-divisible-by-10
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---
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# --description--
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2022-01-22 15:08:20 +00:00
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$n ≤ i < m$ ($i$, $m$, $n$ は正の整数) のとき、10 で割り切れる二項係数 ${}^iC_n$ の数を $T(m, n)$ とします。
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2022-01-20 19:30:18 +00:00
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2022-01-22 15:08:20 +00:00
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$T({10}^9, {10}^7 - 10) = 989\\,697\\,000$ が与えられます。
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2022-01-20 19:30:18 +00:00
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2022-01-22 15:08:20 +00:00
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$T({10}^{18}, {10}^{12} - 10)$ を求めなさい。
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2022-01-20 19:30:18 +00:00
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# --hints--
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2022-01-22 15:08:20 +00:00
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`binomialCoefficientsDivisibleBy10()` は `999998760323314000` を返す必要があります。
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2022-01-20 19:30:18 +00:00
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```js
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assert.strictEqual(binomialCoefficientsDivisibleBy10(), 999998760323314000);
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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 binomialCoefficientsDivisibleBy10() {
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return true;
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}
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binomialCoefficientsDivisibleBy10();
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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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