Bucket Sort:

 Bucket Sort:

  • What is Bucket Sort?
    Bucket Sort is a way to arrange numbers in order by grouping them into buckets, sorting the numbers inside each bucket, and then combining all the buckets.

  • How does it work?

    • Divide the numbers into groups (buckets) based on their values.
    • Sort each bucket individually.
    • Combine all the sorted buckets into one list.
  • Step-by-step process:

    • Create empty buckets.
    • Put each number into the right bucket based on its value.
    • Sort the numbers inside each bucket.
    • Merge all the buckets back together in order.
  • Example:
    List: [0.42, 0.32, 0.23, 0.52, 0.73, 0.25, 0.12]

    • Step 1: Create buckets (e.g., one for each range, like 0.0–0.1, 0.1–0.2, etc.).
      Buckets: [ ], [0.12], [0.23, 0.25], [0.32], [0.42], [ ], [0.52], [0.73]

    • Step 2: Sort each bucket:
      Sorted buckets: [ ], [0.12], [0.23, 0.25], [0.32], [0.42], [ ], [0.52], [0.73]

    • Step 3: Combine the buckets:
      Combined list: [0.12, 0.23, 0.25, 0.32, 0.42, 0.52, 0.73]

  • Key idea:
    Divide numbers into groups (buckets), sort inside the groups, and combine the groups to get the sorted list.

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