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---
id: 5900f3e41000cf542c50fef7
title: '問題 120平方餘數'
challengeType: 5
forumTopicId: 301747
dashedName: problem-120-square-remainders
---
# --description--
`r` 記爲當 ${(a 1)}^n + {(a + 1)}^n$ 除以 $a^2$ 的餘數。
例如,如果 $a = 7$ 且 $n = 3$,則 $r = 42: 6^3 + 8^3 = 728 ≡ 42 \\ \text{mod}\\ 49$。 `r` 會隨着 `n` 的變化而變化,但對於 $a = 7$,會有 $r_{max} = 42$。
對於 $3 ≤ a ≤ 1000$,求 $\sum{r}_{max}$。
# --hints--
`squareRemainders()` 應該返回 `333082500`
```js
assert.strictEqual(squareRemainders(), 333082500);
```
# --seed--
## --seed-contents--
```js
function squareRemainders() {
return true;
}
squareRemainders();
```
# --solutions--
```js
// solution required
```