--description--

On November 2nd, 1988, the first major internet worm was released, infecting about 10% of computers connected to the internet after only a day.

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:

• On day 0, the first computer is infected.
• Each subsequent day, the number of infected computers doubles.
• 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.

For example, on:

• Day 0: 1 total computer is infected.
• Day 1: 2 total computers are infected.
• Day 2: 4 total computers are infected.
• 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.

Return the number of total infected computers after the given amount of days have passed.

--hints--

infected(1) should return 2.

({test: () => { runPython(`
from unittest import TestCase
TestCase().assertEqual(infected(1), 2)`)
}})

infected(3) should return 6.

({test: () => { runPython(`
from unittest import TestCase
TestCase().assertEqual(infected(3), 6)`)
}})

infected(8) should return 152.

({test: () => { runPython(`
from unittest import TestCase
TestCase().assertEqual(infected(8), 152)`)
}})

infected(17) should return 39808.

({test: () => { runPython(`
from unittest import TestCase
TestCase().assertEqual(infected(17), 39808)`)
}})

infected(25) should return 5217638.

({test: () => { runPython(`
from unittest import TestCase
TestCase().assertEqual(infected(25), 5217638)`)
}})

--seed--

--seed-contents--

def infected(days):

    return days

--solutions--

import math
def infected(days):
    infected = 1
    for day in range(1, days + 1):
        infected *= 2
        if day % 3 == 0:
            patched = math.ceil(infected * 0.2)
            infected -= patched

    return infected