--- id: 5900f4551000cf542c50ff68 challengeType: 5 title: 'Problem 233: Lattice points on a circle' videoUrl: '' localeTitle: 问题233:圆上的格点 --- ## Description
令f(N)是在通过(0,0),(N,0),(0,N)和(N,N)的圆上具有整数坐标的点的数量。可以证明f(10000)= 36。

所有正整数N≤1011的总和是多少,f(N)= 420?

## Instructions
## Tests
```yml tests: - text: euler233()应该返回271204031455541300。 testString: 'assert.strictEqual(euler233(), 271204031455541300, "euler233() should return 271204031455541300.");' ```
## Challenge Seed
```js function euler233() { // Good luck! return true; } euler233(); ```
## Solution
```js // solution required ```