53 lines
1.2 KiB
Markdown
53 lines
1.2 KiB
Markdown
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---
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id: 5900f40e1000cf542c50ff21
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title: 'Problem 162: Hexadecimal numbers'
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challengeType: 5
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forumTopicId: 301796
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dashedName: problem-162-hexadecimal-numbers
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---
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# --description--
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In the hexadecimal number system numbers are represented using 16 different digits:
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0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F
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The hexadecimal number AF when written in the decimal number system equals 10x16+15=175.
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In the 3-digit hexadecimal numbers 10A, 1A0, A10, and A01 the digits 0,1 and A are all present.
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Like numbers written in base ten we write hexadecimal numbers without leading zeroes.
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How many hexadecimal numbers containing at most sixteen hexadecimal digits exist with all of the digits 0,1, and A present at least once?
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Give your answer as a hexadecimal number.
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(A,B,C,D,E and F in upper case, without any leading or trailing code that marks the number as hexadecimal and without leading zeroes , e.g. 1A3F and not: 1a3f and not 0x1a3f and not $1A3F and not #1A3F and not 0000001A3F)
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# --hints--
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`euler162()` should return 3D58725572C62302.
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```js
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assert.strictEqual(euler162(), '3D58725572C62302');
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```
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# --seed--
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## --seed-contents--
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```js
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function euler162() {
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return true;
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}
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euler162();
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```
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# --solutions--
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```js
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// solution required
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```
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