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hello friends my name is - char and today Im going to talk about fan victory or binary Index free before going into the details of what when victory is lets look at the use case which finding trade is trying to solve so finding tree is used to get profits sum of an array for example if Im given an array of 7 elements from 0 to 6 so family tree will help people answer queries like what is the sum from 0 to 4 so the sum from 0 to 4 is 3 + 2 5 5 + 6 11 11 + 5 16 what is the sum from 0 to 6 so the sum from 0 to 6 is 60 minus 1 15 + 2 17 so queries like this is why I use one directory what are the other alternate solutions that we did not use friend victory one solution is to keep a prefix some base array so for 0 its the sum to 0 is 3 for 1 the sum till 1 is 3 + 2 5 4 to the sampler till 2 is 5 + 0 5 some till 3 is 5 plus 6 11 some till 4 is 11 plus 5 60 16 minus 1 15 + 15 + 2 17 and this would also help me answer the same query what is a sum from 0 to 4 and you directly over here and