There are 10 stacks of 10 identical-looking coins. All of the coins in one of these stacks are counterfeit, and all the coins in the other stacks are genuine. Every genuine coin weighs 10 grams, as well as every fake weighs 11grams. You have an analytical scale that can determine the exact weight ofany number of coins. What is the minimum number of weighings needed to identify the stack with the fake coins?