in the logic used in the video we consider that when we mix two mixtures we completely empty one mixture.am i right? If i did not consider that i have emptied one mixture completely into another to form the resulting mixture instead i have mixed the two mixtures in such a way that now after mixing the two mixtures i have two mixtures with the resulting color (a+b)%100.would the logic be the same as now we have two mixtures having the same color with same mixture components as i have not emptied one mixture completely into another?if not what would be the way to solve the question then?
Logic issue in mixtures problem
yes when you mix two mixtures you get a new resultant mixture and both previous mixtures are no longer exists.
your question is after mixing two mixtures you get a new new but both mixtures are exists
if so then your how your question converges
will you again mix these 3 mixtures?
if yes then you will never get solution as your mixtures are increasing
if no then question is same as orginal question
sir i agree with you that how will the question converge suppose the question converges when we get for the first time a beaker with n colors.so the question says find the minimum amount of smoke till that point.so how should we approach that type of question?
because now there are two possibilities .suppose we have four mixtures x,y,z,w.now one possibility can be mixing x and y getting two resulting mixtures c and now mixing one c with z and one c with w and getting the resulting mixtures a and b and then mixing a and b.so the final expression for the amount of smoke will be (xy+(((x+y)%100)(z+w))+((((x+y)%100)+z)%100) (((x+y)%100)+w)%100)).and the second case can be we just don’t use any previous resulting mixture twice ,in that case smoke will be (xy+((x+y)%100)*z+((((x+y)%100)+z)%100)*w).so when we discard one beajer every time we mix we do not consider the former case .what if we don’t discard and the convergence of problem happens when we reach to a point a beaker containing n mixtures for the first time,can we say always that the former will be graeter than the latter smoke ?if yes,how?if no,then what logic we should use instead the matrix multiplication approach?