2018-10-10 22:03:03 +00:00
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---
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id: 5900f4a31000cf542c50ffb6
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2020-12-16 07:37:30 +00:00
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title: 问题311:双斜积分四边形
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2018-10-10 22:03:03 +00:00
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challengeType: 5
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videoUrl: ''
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---
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2020-12-16 07:37:30 +00:00
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# --description--
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2020-02-17 16:40:55 +00:00
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2020-12-16 07:37:30 +00:00
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ABCD是凸的整数边四边形,其1≤AB
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2020-02-17 16:40:55 +00:00
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2020-12-16 07:37:30 +00:00
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例如,以下四边形是双斜积分四边形: AB = 19,BC = 29,CD = 37,AD = 43,BD = 48和AO = CO = 23。
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2020-02-17 16:40:55 +00:00
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2020-12-16 07:37:30 +00:00
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令B(N)为满足AB2 + BC2 + CD2 + AD2≤N的不同双斜积分四边形ABCD的数量。 我们可以验证B(10000)= 49和B(1 000 000)= 38239。
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2020-02-17 16:40:55 +00:00
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求B(10000000000000)。
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2018-10-10 22:03:03 +00:00
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2020-12-16 07:37:30 +00:00
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# --hints--
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2018-10-10 22:03:03 +00:00
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2020-12-16 07:37:30 +00:00
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`euler311()`应该返回2466018557。
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2018-10-10 22:03:03 +00:00
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```js
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2020-12-16 07:37:30 +00:00
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assert.strictEqual(euler311(), 2466018557);
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2018-10-10 22:03:03 +00:00
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```
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2020-12-16 07:37:30 +00:00
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# --solutions--
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2020-08-13 15:24:35 +00:00
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