## ANTS PROBLEM

## THIS IS AN INTERVIEW QUESTION OF goldman sachsThere are infinite ants on a rod. And we have two
here:assumptions- If two ants meet, they turn to the opposite direction until the end of the rod and then fall down.
- It takes 15 seconds for an ant to run from one end to the other.
:QuestionHow much time does it take for all ants to fall down? |

## brief introduction

This is a quite complicated mathematics question which is concerned with limitation and probability. If we want to prove the answer with strict mathematical principles, it may take one day to work out. However, the assumptions here are simple. We could simulate the process with 3D modeling.

Thus we could find how long it takes for all the ants to fall down the rod. User could also change the total number of ants.

In the end, we could conclude that as the number of ants increase, the overall time it takes is more closer towards 15 seconds, which is the time it takes for a singel ant to run from one end to the other.

Thus we could find how long it takes for all the ants to fall down the rod. User could also change the total number of ants.

In the end, we could conclude that as the number of ants increase, the overall time it takes is more closer towards 15 seconds, which is the time it takes for a singel ant to run from one end to the other.