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welcome to stable sort in this episode were going to discuss a data structure called fin victory also known as binary index tree will develop simple visual explanations of how it works and then dive into the details by walking of a source code to learn how to implement it and also efficiently populated with Aden [Music] Fenwick tree is very special it allows to do range calculations such as computing the total across a range of numbers without having to examine every single number in the range so really quick suppose we have an array of length 10 and we want to find the total between the indices IJ the simplest approach is of course to loop over the array from in society J and sum it up if the array is length n then this of course takes order n running time now how can we do better suppose we pre compute the running total in a separate array so the value at index 0 would be the same value as the first item in the original array the value at index 1 would be the sum of the first two i