7d9496e52c
* fix: clean-up Project Euler 361-380 * fix: improve wording Co-authored-by: Sem Bauke <46919888+Sembauke@users.noreply.github.com> * fix: remove unnecessary paragraph * fix: corrections from review Co-authored-by: Tom <20648924+moT01@users.noreply.github.com> Co-authored-by: Sem Bauke <46919888+Sembauke@users.noreply.github.com> Co-authored-by: Tom <20648924+moT01@users.noreply.github.com>
55 lines
1.5 KiB
Markdown
55 lines
1.5 KiB
Markdown
---
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id: 5900f4e81000cf542c50fffb
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title: 'Problem 380: Amazing Mazes!'
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challengeType: 5
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forumTopicId: 302044
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dashedName: problem-380-amazing-mazes
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---
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# --description--
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An $m×n$ maze is an $m×n$ rectangular grid with walls placed between grid cells such that there is exactly one path from the top-left square to any other square. The following are examples of a 9×12 maze and a 15×20 maze:
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<img class="img-responsive center-block" alt="9x12 maze and 15x20 maze" src="https://cdn.freecodecamp.org/curriculum/project-euler/amazing-mazes.gif" style="background-color: white; padding: 10px;">
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Let $C(m, n)$ be the number of distinct $m×n$ mazes. Mazes which can be formed by rotation and reflection from another maze are considered distinct.
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It can be verified that $C(1, 1) = 1$, $C(2, 2) = 4$, $C(3, 4) = 2415$, and $C(9, 12) = 2.5720\mathrm{e}\\,46$ (in scientific notation rounded to 5 significant digits).
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Find $C(100, 500)$ and write your answer as a string in scientific notation rounded to 5 significant digits.
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When giving your answer, use a lowercase e to separate mantissa and exponent. E.g. if the answer is 1234567891011 then the answer format would be the string `1.2346e12`.
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# --hints--
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`amazingMazes()` should return a string.
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```js
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assert(typeof amazingMazes() === 'string');
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```
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`amazingMazes()` should return the string `6.3202e25093`.
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```js
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assert.strictEqual(amazingMazes(), '6.3202e25093');
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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 amazingMazes() {
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return true;
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}
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amazingMazes();
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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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