56 lines
1.3 KiB
Markdown
56 lines
1.3 KiB
Markdown
---
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id: 5900f5001000cf542c510013
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challengeType: 5
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title: 'Problem 403: Lattice points enclosed by parabola and line'
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videoUrl: ''
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localeTitle: 问题403：由抛物线和直线包围的格点
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---
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## Description
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<section id="description">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}。 <p> 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。 </p><p>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。 </p><p>找到S（1012）。给你的答案mod 108。 </p></section>
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## Instructions
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<section id="instructions">
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</section>
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## Tests
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<section id='tests'>
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```yml
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tests:
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- text: <code>euler403()</code>应该返回18224771。
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testString: 'assert.strictEqual(euler403(), 18224771, "<code>euler403()</code> should return 18224771.");'
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```
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</section>
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## Challenge Seed
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<section id='challengeSeed'>
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<div id='js-seed'>
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```js
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function euler403() {
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// Good luck!
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return true;
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}
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euler403();
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```
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</div>
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</section>
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## Solution
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<section id='solution'>
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```js
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// solution required
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```
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</section>
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