2018-10-10 22:03:03 +00:00
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---
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id: 5900f4601000cf542c50ff72
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2020-12-16 07:37:30 +00:00
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title: 问题244:滑块
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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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2021-01-13 02:31:00 +00:00
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dashedName: problem-244-sliders
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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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# --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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你可能知道游戏Fifteen Puzzle。在这里,我们有7个红色瓷砖和8个蓝色瓷砖,而不是编号瓷砖。移动由方块(左,右,上,下)的大写初始值表示,其中区块滑动,例如从配置(S)开始,通过序列LULUR我们到达配置(E):
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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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(S),(E)
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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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对于每个路径,其校验和由(伪代码)计算:
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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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checksum = 0 checksum =(checksum×243 + m1)mod 100 000 007 checksum =(checksum×243 + m2)mod 100 000 007 ... checksum =(checksum×243 + mn)mod 100 000 007其中mk是ASCII值移动序列中的第k个字母和移动的ASCII值为:
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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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L76R82U85D68
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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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对于上面给出的序列LULUR,校验和将是19761398.现在,从配置(S)开始,找到达到配置(T)的所有最短路径。
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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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(S),(T)
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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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具有最小长度的路径的所有校验和的总和是多少?
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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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`euler244()`应该返回96356848。
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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(euler244(), 96356848);
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2018-10-10 22:03:03 +00:00
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```
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2020-08-13 15:24:35 +00:00
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2021-01-13 02:31:00 +00:00
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# --seed--
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## --seed-contents--
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```js
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function euler244() {
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return true;
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}
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euler244();
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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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2021-01-13 02:31:00 +00:00
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```js
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// solution required
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```
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