2018-10-10 18:03:03 -04:00
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---
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id: 5900f53a1000cf542c51004c
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2020-12-16 00:37:30 -07:00
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title: 问题461:几乎是Pi
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2018-10-10 18:03:03 -04:00
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challengeType: 5
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videoUrl: ''
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---
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2020-12-16 00:37:30 -07:00
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# --description--
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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对于所有非负整数k,设fn(k)= ek / n-1。值得注意的是,f200(6)+ f200(75)+ f200(89)+ f200(226)= 3.141592644529 ...≈π。事实上,对于n = 200,它是fn(a)+ fn(b)+ fn(c)+ fn(d)形式的π的最佳近似值。设g(n)= a2 + b2 + c2 + d 2为a,b,c,d最小化错误:| fn(a)+ fn(b)+ fn(c)+ fn(d) - π| (其中| x |表示x的绝对值)。给出g(200)= 62 + 752 + 892 + 2262 = 64658.求g(10000)。
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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# --hints--
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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`euler461()`应该返回159820276。
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2018-10-10 18:03:03 -04:00
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```js
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2020-12-16 00:37:30 -07:00
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assert.strictEqual(euler461(), 159820276);
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2018-10-10 18:03:03 -04:00
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```
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2020-12-16 00:37:30 -07:00
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# --solutions--
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2020-08-13 17:24:35 +02:00
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