chore(i8n,learn): processed translations

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---
id: 5900f5241000cf542c510037
title: 问题440GCD和平铺
title: 'Problem 440: GCD and Tiling'
challengeType: 5
videoUrl: ''
forumTopicId: 302112
dashedName: problem-440-gcd-and-tiling
---
# --description--
我们要完全平铺一块长度为n且高度为1的板上面有1×2块或1×1块上面有一个十进制数字
We want to tile a board of length n and height 1 completely, with either 1 × 2 blocks or 1 × 1 blocks with a single decimal digit on top:
例如以下是铺砌长度为n = 8的板的一些方法
For example, here are some of the ways to tile a board of length n = 8:
令Tn是如上所述的平铺长度为n的板的方式的数量。
Let T(n) be the number of ways to tile a board of length n as described above.
例如T1= 10且T2= 101
For example, T(1) = 10 and T(2) = 101.
令SL为1≤abc≤L的三次和∑abc gcdTcaTcb。 例如: S2= 10444 S3= 1292115238446807016106539989 S4模数987898789 = 670616280
Let S(L) be the triple sum ∑a,b,c gcd(T(ca), T(cb)) for 1 ≤ a, b, c ≤ L. For example: S(2) = 10444 S(3) = 1292115238446807016106539989 S(4) mod 987 898 789 = 670616280.
找出S2000mod 987898898。
Find S(2000) mod 987 898 789.
# --hints--
`euler440()`应该返回970746056
`euler440()` should return 970746056.
```js
assert.strictEqual(euler440(), 970746056);