Question 10
In Eventown all authentic coins weigh an even amount of grams and all fake coins weigh an odd amount of grams.
There are $2022$ coins and it is given that exactly $2$ of them are fake. We have an electronic scale which only shows if the total weight of the objects put on it is even or odd.
Find the least value of $k$ such that there is a strategy that allows us to identify the two fake coins using the scale at most $k$ times.
There are $2022$ coins and it is given that exactly $2$ of them are fake. We have an electronic scale which only shows if the total weight of the objects put on it is even or odd.
Find the least value of $k$ such that there is a strategy that allows us to identify the two fake coins using the scale at most $k$ times.