From 6b29b0de79f36aa29d972317e44b1d31df4ab558 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Furkan=20T=C3=BCrkal?= Date: Thu, 26 Oct 2017 22:21:57 +0300 Subject: [PATCH] update readme --- merge-sort/README.md | 41 ++++++++++++++++++++++++++++ merge-sort/resources/merge-sort.png | Bin 0 -> 80021 bytes 2 files changed, 41 insertions(+) create mode 100644 merge-sort/resources/merge-sort.png diff --git a/merge-sort/README.md b/merge-sort/README.md index e69de29..a2c7fa2 100644 --- a/merge-sort/README.md +++ b/merge-sort/README.md @@ -0,0 +1,41 @@ +

Merge Sort Source

+ +[What It Is](#what-it-is) + +## What It Is + +Like **[QuickSort](https://github.com/Dentrax/Data-Structures-with-Go/tree/master/quick-sort)**, Merge Sort is a Divide and Conquer algorithm. It divides input array in two halves, calls itself for the two halves and then merges the two sorted halves. The `merge()` function is used for merging two halves. The `merge(arr, l, m, r)` is key process that assumes that `arr[l..m]` and `arr[m+1..r]` are sorted and merges the two sorted sub-arrays into one. See following C implementation for details + +![Preview Thumbnail](https://upload.wikimedia.org/wikipedia/commons/c/cc/Merge-sort-example-300px.gif) + +MergeSort(arr[], l, r) +-------------------------- + +If r > l + * 1. Find the middle point to divide the array into two halves: + middle m = (l+r)/2 + * 2. Call mergeSort for first half: + Call mergeSort(arr, l, m) + * 3. Call mergeSort for second half: + Call mergeSort(arr, m+1, r) + * 4. Merge the two halves sorted in step 2 and 3: + Call merge(arr, l, m, r) + + +The following diagram from **[Wikipedia](https://en.wikipedia.org/wiki/File:Merge_sort_algorithm_diagram.svg)** shows the complete merge sort process for an example array {38, 27, 43, 3, 9, 82, 10}. If we take a closer look at the diagram, we can see that the array is recursively divided in two halves till the size becomes 1. Once the size becomes 1, the merge processes comes into action and starts merging arrays back till the complete array is merged + +![Preview Thumbnail](https://raw.githubusercontent.com/Dentrax/Data-Structures-with-Go/master/merge-sort/resources/merge-sort.png) + +> * Input: {12, 11, 13, 5, 6, 7} +> * Output: Given array is `12 11 13 5 6 7` +> * Output: Sorted array is `5 6 7 11 12 13` + +> * Input: Rotation of the above array by `2` will make array +> * Output: `3 4 5 6 7 1 2` + + +**Algorithm Complexity** + +| Complexity | Notation | +| ----------------- |:------------:| +| `Time Complexity` | `O(n log n)` | \ No newline at end of file diff --git a/merge-sort/resources/merge-sort.png b/merge-sort/resources/merge-sort.png new file mode 100644 index 0000000000000000000000000000000000000000..c3eab91cd3d46221b701066f4b1b61fe630e1eb1 GIT binary patch literal 80021 zcmYg%1ymbd)NNZ@2vD5j4u!V3yE_yqTD%m8;x2(wf)tkm#fw{U*A#b`U`cRy2oUt; 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