ee1e8abd87
* 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>
45 lines
973 B
Markdown
45 lines
973 B
Markdown
---
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id: 5900f5001000cf542c510013
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title: 问题403：由抛物线和直线包围的格点
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challengeType: 5
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videoUrl: ''
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dashedName: problem-403-lattice-points-enclosed-by-parabola-and-line
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---
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# --description--
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对于整数a和b，我们将D（a，b）定义为由抛物线y = x2包围的域，并且线y = a·x + b：D（a，b）= {（x，y）| x2≤y≤a·x + b}。
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L（a，b）定义为D（a，b）中包含的晶格点数。例如，L（1,2）= 8并且L（2，-1）= 1。
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我们还将S（N）定义为所有对（a，b）的L（a，b）之和，使得D（a，b）的面积是有理数并且| a |，| b | ≤N。我们可以验证S（5）= 344和S（100）= 26709528。
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找到S（1012）。给你的答案mod 108。
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# --hints--
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`euler403()`应该返回18224771。
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```js
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assert.strictEqual(euler403(), 18224771);
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```
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# --seed--
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## --seed-contents--
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```js
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function euler403() {
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return true;
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}
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euler403();
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```
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# --solutions--
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```js
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// solution required
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```
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