Frugal selection of weights to weigh a thing
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You are given a balance (that is, a weighing machine with two trays) and a positive integer N. You are then to request a number of weights. You pick which denominations of weights you want and how many of each you want. After you receive the weights you requested, you are given a thing whose weight is an integer between 1 and N, inclusive. Using the balance and the weights you requested, you must now determine the exact weight of the thing.
As a function of N, how few weights can you get by requesting?
Best answer
Finding Highest value of x such that 3^x is less than n.
Then,
We will take every value fro 0 to x and we will get our values we have to put in 3^x to get our weights. After adding every weight if n is still greater then I will request one more weight that will be 3^(x+1).
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