79d9012432
* fix(curriculum): tests quotes * fix(curriculum): fill seed-teardown * fix(curriculum): fix tests and remove unneeded seed-teardown
68 lines
1.6 KiB
Markdown
68 lines
1.6 KiB
Markdown
---
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id: 5900f4281000cf542c50ff39
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challengeType: 5
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title: 'Problem 186: Connectedness of a network'
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---
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## Description
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<section id='description'>
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Here are the records from a busy telephone system with one million users:
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RecNrCallerCalled120000710005326001835004393600863701497.........
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The telephone number of the caller and the called number in record n are Caller(n) = S2n-1 and Called(n) = S2n where S1,2,3,... come from the "Lagged Fibonacci Generator":
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For 1 ≤ k ≤ 55, Sk = [100003 - 200003k + 300007k3] (modulo 1000000)
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For 56 ≤ k, Sk = [Sk-24 + Sk-55] (modulo 1000000)
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If Caller(n) = Called(n) then the user is assumed to have misdialled and the call fails; otherwise the call is successful.
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From the start of the records, we say that any pair of users X and Y are friends if X calls Y or vice-versa. Similarly, X is a friend of a friend of Z if X is a friend of Y and Y is a friend of Z; and so on for longer chains.
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The Prime Minister's phone number is 524287. After how many successful calls, not counting misdials, will 99% of the users (including the PM) be a friend, or a friend of a friend etc., of the Prime Minister?
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</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>euler186()</code> should return 2325629.
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testString: assert.strictEqual(euler186(), 2325629, '<code>euler186()</code> should return 2325629.');
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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 euler186() {
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// Good luck!
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return true;
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}
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euler186();
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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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