* feat(tools): add seed/solution restore script * chore(curriculum): remove empty sections' markers * chore(curriculum): add seed + solution to Chinese * chore: remove old formatter * fix: update getChallenges parse translated challenges separately, without reference to the source * chore(curriculum): add dashedName to English * chore(curriculum): add dashedName to Chinese * refactor: remove unused challenge property 'name' * fix: relax dashedName requirement * fix: stray tag Remove stray `pre` tag from challenge file. Signed-off-by: nhcarrigan <nhcarrigan@gmail.com> Co-authored-by: nhcarrigan <nhcarrigan@gmail.com>
43 lines
1.1 KiB
Markdown
43 lines
1.1 KiB
Markdown
---
|
||
id: 5900f4241000cf542c50ff37
|
||
title: 问题184:包含原点的三角形
|
||
challengeType: 5
|
||
videoUrl: ''
|
||
dashedName: problem-184-triangles-containing-the-origin
|
||
---
|
||
|
||
# --description--
|
||
|
||
考虑点(x,y)的集合Ir,其中半径为r的圆内部的整数坐标以原点为中心,即x2 + y2 <r2。对于半径为2,I2包含九个点(0,0),(1,0),(1,1),(0,1),( - 1,1),( - 1,0),( -1,-1),(0,-1)和(1,-1)。在I2中有八个三角形具有全部三个顶点,其中包含内部的原点。其中两个如下所示,其他通过旋转从这些中获得。
|
||
|
||
对于半径为3,有360个三角形包含内部的原点并且所有顶点都在I3中,而对于I5,该数字是10600。
|
||
|
||
有多少个三角形包含内部的原点并且在I105中包含所有三个顶点?
|
||
|
||
# --hints--
|
||
|
||
`euler184()`应返回1725323624056。
|
||
|
||
```js
|
||
assert.strictEqual(euler184(), 1725323624056);
|
||
```
|
||
|
||
# --seed--
|
||
|
||
## --seed-contents--
|
||
|
||
```js
|
||
function euler184() {
|
||
|
||
return true;
|
||
}
|
||
|
||
euler184();
|
||
```
|
||
|
||
# --solutions--
|
||
|
||
```js
|
||
// solution required
|
||
```
|