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Well done!
      You have completed Introduction to Data Structures!
      
    
You have completed Introduction to Data Structures!
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  Let's wrap up this course with a recap!
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                      And with that let's wrap up this course.
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                      In the prerequisite to this course,
Introduction to Algorithms, we learned
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                      about basic algorithms along with some
conceptions like recursion and Big O,
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                      that set the foundation for learning about
implementing and evaluating algorithms.
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                      In this course we learned
what a data structure is, and
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                      how data structures go hand
in hand with algorithms.
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                      We started off by exploring
a data structure that many of us
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                      use in our day to day programming, arrays,
or lists as they're known in Python.
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                      We took a peek under the hood at how
arrays are created and stored, and
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                      examined some of the common
operations carried out on arrays.
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                      These are operations that we write and
execute all the time, but
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                      here we took a step back and evaluated
the run times of these operations, and
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                      how they affect
the performance of our code.
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                      After that we jumped into
an entirely new world where we wrote
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                      our own data structure,
a signally linked list.
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                      Admittedly, linked lists aren't used
much in day to day problem solving.
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                      But it's a good data structure to start
off with, because it is fairly straight
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                      forward to understand and
not that much different from an array.
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                      We carried out the same exercise
as we did on arrays in that we
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                      looked at common data operations.
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                      But since this was a type we defined on
our own, we implemented these operations
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                      ourselves and got to examine with
a fine-tooth comb, how our code and
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                      the structure of the type,
affected the run time of these operations.
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                      The next topic we tackled was
essentially worlds colliding.
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                      We implemented a sorting algorithm,
to sort two different data structures.
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                      Here we got to see how all of
the concepts we've learned so far,
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                      algorithmic thinking, time and
space complexity and data structures,
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                      all come together to tackle
the problem of sorting data.
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                      This kind of exercise is one we're
going to focus on moving forward,
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                      as we try to solve more real world
programming problems using different data
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                      structures and algorithms.
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                      If you stuck with this content so
far, keep up the great work.
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                      This can be a complex topic,
but a really interesting one.
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                      And if you take your time with it,
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                      you will get a deeper understanding
of programming and problem solving.
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                      As always, check the notes for
more resources and happy coding.
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