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today I want to talk about the Stanwyck tree also sometimes called the binary index tree and youamp;#39;ll see why very soon this is one of my personal favorites because if such a powerful data structure and that boasts efficiency and itamp;#39;s really really simple to code so letamp;#39;s dive right in so thanks Mara covering the family tree video series just some standard stuff so go over some motivation why this data structure exists analyze time complexity and then go into some implementation details so in this video weamp;#39;ll get to the range query and later videos how to do point updates and how to construct the final tree in linear time you can also do things like range updates but Iamp;#39;m not going to be covering that in this series at least not yet okay so what is the motivation behind the Fenwick tree so suppose we have an array of integer values and we want to query a range and find the sum of that range well one thing we can do would be to start at the position