chore(i8n,learn): processed translations
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Mrugesh Mohapatra
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---
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id: 5900f50e1000cf542c510020
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title: 问题416:青蛙的旅行
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title: 'Problem 416: A frog''s trip'
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challengeType: 5
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videoUrl: ''
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forumTopicId: 302085
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dashedName: problem-416-a-frogs-trip
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---
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# --description--
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一排n个正方形在最左边的正方形中包含一个青蛙。 通过连续跳跃,青蛙到达最右边的方块,然后回到最左边的方块。 在向外旅行中,他向右跳一个,两个或三个方块,在向家旅行中,他以类似的方式向左跳。 他不能跳出广场。 我已经重复了两次往返旅行。
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A row of n squares contains a frog in the leftmost square. By successive jumps the frog goes to the rightmost square and then back to the leftmost square. On the outward trip he jumps one, two or three squares to the right, and on the homeward trip he jumps to the left in a similar manner. He cannot jump outside the squares. He repeats the round-trip travel m times.
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令F(m,n)为青蛙可以通过的方式的数目,这样最多一个正方形就不会出现。 例如,F(1,3)= 4,F(1,4)= 15,F(1,5)= 46,F(2,3)= 16和F(2,100)mod 109 = 429619151。
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Let F(m, n) be the number of the ways the frog can travel so that at most one square remains unvisited. For example, F(1, 3) = 4, F(1, 4) = 15, F(1, 5) = 46, F(2, 3) = 16 and F(2, 100) mod 109 = 429619151.
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查找F的最后9位数字(10,1012)。
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Find the last 9 digits of F(10, 1012).
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# --hints--
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`euler416()`应该返回898082747。
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`euler416()` should return 898082747.
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```js
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assert.strictEqual(euler416(), 898082747);
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