2.1.10

Merge Sort

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Merge Sort

Merge sort is an example of a divide and conquer algorithm, where the problem is broken down into smaller steps.

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The concept

  • If we have two packs of cards, which are both already in order and want to combine them, what can we do?
  • One solution is to only consider the top card of each pile, and create a new deck starting from the smaller of the two cards.
  • This will give us a combined sorted pack.
  • This is called merge sort.
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In English

  • Split the lists into lists of size one.
  • Merge each pair of sublists by comparing the first value of each list and putting the smaller value into the new list first.
  • Continue merging until there is only one list.
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Pros and cons of merge sort:

  • Pros:
    • A very efficient algorithm.
  • Cons:
    • Can be slower for small lists.
    • Needs additional memory.

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