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Number of Zombies
Math Input: 2
Math Input: 4
Math Input: 6
Math Input: 8
Math Input: 10
Math Input: 12
Math Input: 14
Math Input: 16
Math Input: 18
Math Input: 20

Strain B started with a genetic mutation in patient zero that caused them to turn into a zombie. This strain differs from A in that all zombies can infect new people. Zombies infected with strain B can infect 1 person every minute.

1 answer

It looks like you are discussing the spread of Strain B of a zombie infection based on a given set of time intervals (in minutes) and the corresponding number of zombies at each interval. Here's a breakdown of how the infection may progress over time based on your input conditions:

  1. Each zombie can infect 1 person every minute.
  2. After an initial zombie (patient zero) infects someone, both the original zombie and the new zombie can continue to infect others.

Let's illustrate this with step-by-step calculations based on the input provided:

  • Minute 0: Start with 1 zombie (Patient Zero).

  • Minute 1:

    • Initial Zombie (1) infects 1 new person.
    • Total: 2 Zombies

  • Minute 2:

    • Each of the 2 zombies infects 1 new person (2 new infections).
    • Total: 4 Zombies

  • Minute 3:

    • Each of the 4 zombies infects 1 new person (4 new infections).
    • Total: 8 Zombies

  • Minute 4:

    • Each of the 8 zombies infects 1 new person (8 new infections).
    • Total: 16 Zombies

  • Minute 5:

    • Each of the 16 zombies infects 1 new person (16 new infections).
    • Total: 32 Zombies

  • Minute 6:

    • Each of the 32 zombies infects 1 new person (32 new infections).
    • Total: 64 Zombies

  • Minute 7:

    • Each of the 64 zombies infects 1 new person (64 new infections).
    • Total: 128 Zombies

  • Minute 8:

    • Each of the 128 zombies infects 1 new person (128 new infections).
    • Total: 256 Zombies

  • Minute 9:

    • Each of the 256 zombies infects 1 new person (256 new infections).
    • Total: 512 Zombies

  • Minute 10:

    • Each of the 512 zombies infects 1 new person (512 new infections).
    • Total: 1024 Zombies

Using a formula, we can observe that the number of zombies doubles every minute, starting from the initial 1:

Total Zombies at minute n = 2^n

Following this pattern, here is a table of the number of zombies at each minute mark for the first 10 minutes:

| Minutes | Number of Zombies | |---------|-------------------| | 0 | 1 | | 1 | 2 | | 2 | 4 | | 3 | 8 | | 4 | 16 | | 5 | 32 | | 6 | 64 | | 7 | 128 | | 8 | 256 | | 9 | 512 | | 10 | 1024 |

This exponential growth clearly illustrates how quickly the infection can spread with each passing minute.