COVID19 health centers

Algebra Level 3

Consider 1600 1600 buildings that are arranged as a 40 × 40 40 \times 40 grid, Manhattan style. If it is required to select n \large n COVID19 health centers, such that in every 7 × 7 7 \times 7 group of buildings you will have only one of the buildings to be used as a COVID19 health center to serve the other 48 48 buildings.

What is the minimum number n \large n of buildings are you going to use as health centers from the 1600 1600 buildings?

If it is not possible to find an answer, give your answer as 0 0 .

This is an original problem.


The answer is 25.

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1 solution

Ossama Ismail
Apr 2, 2020

Answer : 25 = ( 40 7 ) 2 \large 25 = (\lfloor\dfrac{40}{7} \rfloor)^2

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