2018-09-30 22:01:58 +00:00
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---
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id: 5900f41e1000cf542c50ff31
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title: 'Problem 178: Step Numbers'
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2020-11-27 18:02:05 +00:00
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challengeType: 5
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2019-08-05 16:17:33 +00:00
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forumTopicId: 301813
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2021-01-13 02:31:00 +00:00
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dashedName: problem-178-step-numbers
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2018-09-30 22:01:58 +00:00
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---
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2020-11-27 18:02:05 +00:00
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# --description--
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2018-10-08 00:01:53 +00:00
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Consider the number 45656.
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2020-11-27 18:02:05 +00:00
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2018-09-30 22:01:58 +00:00
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It can be seen that each pair of consecutive digits of 45656 has a difference of one.
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2020-11-27 18:02:05 +00:00
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A number for which every pair of consecutive digits has a difference of one is called a step number.
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2018-09-30 22:01:58 +00:00
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2020-11-27 18:02:05 +00:00
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A pandigital number contains every decimal digit from 0 to 9 at least once.
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2018-09-30 22:01:58 +00:00
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2020-11-27 18:02:05 +00:00
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How many pandigital step numbers less than 1040 are there?
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2018-09-30 22:01:58 +00:00
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2020-11-27 18:02:05 +00:00
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# --hints--
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2018-09-30 22:01:58 +00:00
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2020-11-27 18:02:05 +00:00
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`euler178()` should return 126461847755.
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2018-09-30 22:01:58 +00:00
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2020-11-27 18:02:05 +00:00
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```js
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assert.strictEqual(euler178(), 126461847755);
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2018-09-30 22:01:58 +00:00
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```
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2020-11-27 18:02:05 +00:00
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# --seed--
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2018-09-30 22:01:58 +00:00
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2020-11-27 18:02:05 +00:00
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## --seed-contents--
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2018-09-30 22:01:58 +00:00
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```js
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function euler178() {
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2020-09-15 16:57:40 +00:00
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2018-09-30 22:01:58 +00:00
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return true;
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}
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euler178();
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```
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2020-11-27 18:02:05 +00:00
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# --solutions--
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2018-09-30 22:01:58 +00:00
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```js
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// solution required
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```
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