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98 lines
2.2 KiB
Markdown
98 lines
2.2 KiB
Markdown
---
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id: 68e39ed6106dac2f0a98fd66
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title: "Challenge 84: Infected"
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challengeType: 29
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dashedName: challenge-84
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---
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# --description--
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On November 2nd, 1988, the first major internet worm was released, infecting about 10% of computers connected to the internet after only a day.
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In this challenge, you are given a number of days that have passed since an internet worm was released, and you need to determine how many computers are infected using the following rules:
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- On day 0, the first computer is infected.
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- Each subsequent day, the number of infected computers doubles.
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- Every 3rd day, a patch is applied after the virus spreads and reduces the number of infected computers by 20%. Round the number of patched computers up to the nearest whole number.
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For example, on:
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- Day 0: 1 total computer is infected.
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- Day 1: 2 total computers are infected.
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- Day 2: 4 total computers are infected.
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- Day 3: 8 total computers are infected. Then, apply the patch: 8 infected * 20% = 1.6 patched. Round 1.6 up to 2. 8 computers infected - 2 patched = 6 total computers infected after day 3.
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Return the number of total infected computers after the given amount of days have passed.
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# --hints--
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`infected(1)` should return `2`.
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```js
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({test: () => { runPython(`
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from unittest import TestCase
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TestCase().assertEqual(infected(1), 2)`)
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}})
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```
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`infected(3)` should return `6`.
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```js
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({test: () => { runPython(`
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from unittest import TestCase
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TestCase().assertEqual(infected(3), 6)`)
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}})
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```
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`infected(8)` should return `152`.
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```js
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({test: () => { runPython(`
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from unittest import TestCase
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TestCase().assertEqual(infected(8), 152)`)
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}})
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```
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`infected(17)` should return `39808`.
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```js
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({test: () => { runPython(`
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from unittest import TestCase
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TestCase().assertEqual(infected(17), 39808)`)
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}})
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```
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`infected(25)` should return `5217638`.
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```js
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({test: () => { runPython(`
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from unittest import TestCase
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TestCase().assertEqual(infected(25), 5217638)`)
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}})
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```
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# --seed--
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## --seed-contents--
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```py
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def infected(days):
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return days
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```
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# --solutions--
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```py
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import math
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def infected(days):
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infected = 1
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for day in range(1, days + 1):
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infected *= 2
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if day % 3 == 0:
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patched = math.ceil(infected * 0.2)
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infected -= patched
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return infected
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```
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