Coronavirus COVID19

You are a scientist and have a scientific laboratory linked to many field hospitals to deal with Virus Corona, and people can enter the laboratory to take samples from them for analysis before entering and hospitalizing them. The lab has 12 virus detectors devices equipped with biomedical materials to detect the virus, and you have a smart system that records the time each person enters to take a sample from him/her. But there is a problem, if you take samples from an infected person and put it in one of the virus detectors, the virus will destroy the materials used inside the device so that you cannot use it again.

You have information and are absolutely sure before testing that one of the people from the city " X" has a virus.

Assumptions

1- The device can test any number of samples at the same time.

2- The testing time for any group of samples is less than an hour.

3- Any device will malfunction within 24 hours after testing infected samples. After that, it will stop working and will give a warning red light.

4- The period given for conducting tests is 50 hours.

5- The preprocessing time is not counted inside the 50 hours given period.

You are required to develop a $\color{#3D99F6} \bold{strategy}$ that allows the largest number of people from the city "X" to be tested. What is the largest $\color{#D61F06}\bold {possible}$ number you can test before you discover the infected person?

Today March 25th, 2020. The number of Coronavirus Cases worldwide = 441,095