2018-09-30 22:01:58 +00:00
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---
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id: 5900f4131000cf542c50ff25
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title: 'Problem 166: Criss Cross'
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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: 301800
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2021-01-13 02:31:00 +00:00
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dashedName: problem-166-criss-cross
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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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2018-09-30 22:01:58 +00:00
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A 4x4 grid is filled with digits d, 0 ≤ d ≤ 9.
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It can be seen that in the grid
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2020-11-27 18:02:05 +00:00
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6 3 3 0 5 0 4 3 0 7 1 4 1 2 4 5
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2018-09-30 22:01:58 +00:00
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the sum of each row and each column has the value 12. Moreover the sum of each diagonal is also 12.
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In how many ways can you fill a 4x4 grid with the digits d, 0 ≤ d ≤ 9 so that each row, each column, and both diagonals have the same sum?
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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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`euler166()` should return 7130034.
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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(euler166(), 7130034);
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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 euler166() {
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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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euler166();
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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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