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freeCodeCamp/curriculum/challenges/chinese/10-coding-interview-prep/project-euler/problem-120-square-remainders.md

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---
id: 5900f3e41000cf542c50fef7
title: '问题 120平方余数'
challengeType: 5
forumTopicId: 301747
dashedName: problem-120-square-remainders
---
# --description--
`r` 记为当 ${(a 1)}^n + {(a + 1)}^n$ 除以 $a^2$ 的余数。
例如,如果 $a = 7$ 且 $n = 3$,则 $r = 42: 6^3 + 8^3 = 728 ≡ 42 \\ \text{mod}\\ 49$。 `r` 会随着 `n` 的变化而变化,但对于 $a = 7$,会有 $r_{max} = 42$。
对于 $3 ≤ a ≤ 1000$,求 $\sum{r}_{max}$。
# --hints--
`squareRemainders()` 应该返回 `333082500`
```js
assert.strictEqual(squareRemainders(), 333082500);
```
# --seed--
## --seed-contents--
```js
function squareRemainders() {
return true;
}
squareRemainders();
```
# --solutions--
```js
// solution required
```