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								id: 5900f4131000cf542c50ff25
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								title: 'Problem 166: Criss Cross'
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											2020-11-27 19:02:05 +01:00
										 
									 
								 
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								challengeType: 5
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											2019-08-05 09:17:33 -07:00
										 
									 
								 
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								forumTopicId: 301800
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											2021-01-13 03:31:00 +01:00
										 
									 
								 
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								dashedName: problem-166-criss-cross
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								---
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								# --description--
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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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								6 3 3 0 5 0 4 3 0 7 1 4 1 2 4 5
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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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								# --hints--
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								`euler166()` should return 7130034.
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								```js
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								assert.strictEqual(euler166(), 7130034);
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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 euler166() {
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								  return true;
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								}
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								euler166();
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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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