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Shell Sort
Hadron DaVinci Hadron DaVinci

Shell Sort

Setup:

  • Let Gap Size (GS) be initial number of elements

Repeat while GS >= 1:

  • Update GS: GS = floor(GS / 2)

  • Select indices by skipping GS elements

  • Insert Sort elements at selected indices

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Comb Sort
Hadron DaVinci Hadron DaVinci

Comb Sort

Setup:

  • Pick Divisor Factor (DF) as 1.3

  • Let Gap Size (GS) be initial number of elements

Repeat while GS >= 1:

  • Update GS: GS = floor(GS / DF)

  • Select indices by skipping GS elements

  • Bubble Sort elements at selected indices

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Heap Sort
Hadron DaVinci Hadron DaVinci

Heap Sort

  • Create initial max heap

  • Repeat until heap runs out of nodes:

    • Swap the last node with max node

    • Remove max node and push onto stack

    • Heapify root node

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Quick Sort
Hadron DaVinci Hadron DaVinci

Quick Sort

In Quick Sort, we will select a pivot using the Median of three approach. And swap numbers which are less than pivot (LTP) and greater than or equal to pivot (GTP)

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Tim Sort
Hadron DaVinci Hadron DaVinci

Tim Sort

Tim Sort is a hybrid approach that combines Binary Insertion Sort and Merge Sort.

And it's strength is that it takes advantage of any naturally occurring ordering in the data.

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Radix Sort
Hadron DaVinci Hadron DaVinci

Radix Sort

From a high level, Radix Sort works by sorting integers from the least significant digit to the most significant digit.

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Merge Sort
Hadron DaVinci Hadron DaVinci

Merge Sort

Given array has more than one item:

  • half array

  • merge-sort first half

  • merge-sort second half

  • merge first half and second half

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Bubble Sort
Hadron DaVinci Hadron DaVinci

Bubble Sort

  1. Bubble up the largest number in the unsorted space

    • adjacent numbers are swapped when left number is greater than right number

  2. Reduce the unsorted space

  3. Repeat 1.and 2. until the unsorted space is empty

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Insertion Sort
Hadron DaVinci Hadron DaVinci

Insertion Sort

  1. Left swap repeatedly first number in unsorted space until

    • the first number is greater than number on its left

    • the first number has no left number

  2. Reduce the unsorted space

  3. Repeat (1) and (2) until the unsorted space is empty

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Selection Sort
Hadron DaVinci Hadron DaVinci

Selection Sort

In Selection Sort, we will repeatedly swap the first and min elements in unsorted space. And Each time a swap occurs, the unsorted space is decreased.

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