chore(i8n,learn): processed translations
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Mrugesh Mohapatra
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---
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id: 5900f3c61000cf542c50fed9
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title: 问题90:立方体数字对
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title: 'Problem 90: Cube digit pairs'
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challengeType: 5
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videoUrl: ''
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forumTopicId: 302207
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dashedName: problem-90-cube-digit-pairs
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---
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# --description--
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立方体上的六个面中的每一个都有一个写在其上的不同数字(0到9);第二个立方体也是如此。通过将两个立方体并排放置在不同的位置,我们可以形成各种2位数字。
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Each of the six faces on a cube has a different digit (0 to 9) written on it; the same is done to a second cube. By placing the two cubes side-by-side in different positions we can form a variety of 2-digit numbers.
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例如,可以形成平方数64:
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For example, the square number 64 could be formed:
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实际上,通过仔细选择两个立方体上的数字,可以显示低于100的所有正方形数字:01,04,09,16,25,36,49,64和81。
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<img class="img-responsive center-block" alt="two cubes, one with the number 6 and the other with number 4" src="https://cdn-media-1.freecodecamp.org/project-euler/cube-digit-pairs.png" style="background-color: white; padding: 10px;" />
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例如,可以实现的一种方法是将{0,5,6,7,8,9}放在一个立方体上,将{1,2,3,4,8,9}放在另一个立方体上。
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In fact, by carefully choosing the digits on both cubes it is possible to display all of the square numbers below one-hundred: 01, 04, 09, 16, 25, 36, 49, 64, and 81.
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但是,对于这个问题,我们应该允许将6或9颠倒,以便安排像{0,5,6,7,8,9}和{1,2,3,4,6,7}允许显示所有九个方形数字;否则就不可能获得09。
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For example, one way this can be achieved is by placing {0, 5, 6, 7, 8, 9} on one cube and {1, 2, 3, 4, 8, 9} on the other cube.
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在确定不同的排列时,我们对每个立方体上的数字感兴趣,而不是订单。
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However, for this problem we shall allow the 6 or 9 to be turned upside-down so that an arrangement like {0, 5, 6, 7, 8, 9} and {1, 2, 3, 4, 6, 7} allows for all nine square numbers to be displayed; otherwise it would be impossible to obtain 09.
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{1,2,3,4,5,6}相当于{3,6,4,1,2,5} {1,2,3,4,5,6}不同于{1,2, 3,4,5,9}
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In determining a distinct arrangement we are interested in the digits on each cube, not the order.
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但是因为我们允许反转6和9,所以最后一个例子中的两个不同的集合都代表扩展集{1,2,3,4,5,6,9}以形成2位数字。
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<div style="margin-left: 4em;">
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{1, 2, 3, 4, 5, 6} is equivalent to {3, 6, 4, 1, 2, 5}<br>
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{1, 2, 3, 4, 5, 6} is distinct from {1, 2, 3, 4, 5, 9}
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</div>
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两个立方体有多少不同的排列可以显示所有的方形数字?
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But because we are allowing 6 and 9 to be reversed, the two distinct sets in the last example both represent the extended set {1, 2, 3, 4, 5, 6, 9} for the purpose of forming 2-digit numbers.
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How many distinct arrangements of the two cubes allow for all of the square numbers to be displayed?
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# --hints--
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`euler90()`应该返回1217。
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`cubeDigitPairs()` should return a number.
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```js
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assert.strictEqual(euler90(), 1217);
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assert(typeof cubeDigitPairs() === 'number');
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```
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`cubeDigitPairs()` should return 1217.
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```js
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assert.strictEqual(cubeDigitPairs(), 1217);
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```
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# --seed--
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