2018-10-10 22:03:03 +00:00
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---
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id: 5900f4c21000cf542c50ffd4
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2020-12-16 07:37:30 +00:00
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title: 问题340:疯狂的功能
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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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2018-10-10 22:03:03 +00:00
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2020-12-16 07:37:30 +00:00
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对于固定整数a,b,c,定义疯狂函数F(n)如下:F(n)= n - c表示所有n> b F(n)= F(a + F(a + F(a +)所有n≤b的F(a + n))))。
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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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另外,定义S(a,b,c)=。
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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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例如,如果a = 50,b = 2000且c = 40,则F(0)= 3240并且F(2000)= 2040.此外,S(50,2000,40)= 5204240。
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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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找到S(217,721,127)的最后9位数。
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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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`euler340()`应返回291504964。
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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(euler340(), 291504964);
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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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