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Vidya Python Core

Level 5 โ€” Algorithms โ€” Sorting, searching, recursion, dynamic programming, greedy, and graph algorithms.

0% Mastered0 XP
Active Mission PayloadDivide & Conquer Sutra

Sorting Algorithms

Implement bubble, selection, insertion, merge, quick, and heap sort; analyse time complexity.

Start Mission Practice
Python Sandbox Preview
def merge_sort(arr):
    if len(arr) <= 1: return arr
    mid = len(arr) // 2
    left = merge_sort(arr[:mid])
    right = merge_sort(arr[mid:])
    return merge(left, right)
UTF-8 ยท Interactive Sandbox Target Code

What this Mission Builds

Sorting is the gateway to algorithmic thinking. Master O(nยฒ) and O(n log n) algorithms and understand when to use each.

โ€ขImplement merge sort and quick sort
โ€ขAnalyse time and space complexity
โ€ขApply counting/radix sort for integer arrays
Duration
60 min
Difficulty
4/5
Rank Reward
+150 XP
Practice Lab โ€” ๐Ÿ”ข Sorting Algorithms

15 Coding Challenges ยท 5 Difficulty Tiers

Complete all tiers to earn up to 1,735 XP and unlock the next chapter.

Open Lab
๐ŸŸขBeginner Tier3 programs ยท +175 XP
๐Ÿซง#1
+55 XP
Bubble Sort โ€” Count Swaps
Implement bubble sort and count the total number of swaps
bubble sortswap count 8m
๐ŸŽฏ#2
+60 XP
Selection Sort
Find the minimum on each pass and place it in sorted position
selection sortminimum finding 9m
๐Ÿƒ#3
+60 XP
Insertion Sort
Build the sorted portion one card at a time
insertion sortshift operation 10m
๐Ÿ”ตIntermediate Tier3 programs ยท +270 XP
๐Ÿ”„#1
+90 XP
Merge Sort โ€” Count Inversions
Count pairs (i,j) where i<j but arr[i]>arr[j] during merge sort
merge sortinversion count 15m
โšก#2
+95 XP
Quick Sort (Median-of-Three Pivot)
Implement quicksort with median-of-three pivot selection
quicksortLomuto partition 16m
๐Ÿ”ข#3
+85 XP
Counting Sort
Sort integers in O(N+K) using frequency counting
counting sortfrequency array 13m
๐ŸŸกAdvanced Tier3 programs ยท +335 XP
๐Ÿ”ฃ#1
+110 XP
Radix Sort (LSD)
Sort integers digit by digit from least significant to most significant
radix sortLSD 18m
๐Ÿ“‹#2
+105 XP
Sort Objects by Multiple Keys
Sort a table of records using Python's key= with a tuple comparator
multi-key sorttuple key 16m
๐Ÿ’ฝ#3
+120 XP
External Sort Simulation
Simulate external sort: split into chunks, sort, then k-way merge
external sortk-way merge 20m
๐Ÿ”ดLeetCode Tier3 programs ยท +435 XP
๐Ÿ”#1
+140 XP
Largest Number
Arrange numbers to form the largest possible number using custom comparator
custom comparatorcmp_to_key 20m
๐ŸŽจ#2
+145 XP
Sort Colors (Dutch National Flag)
Sort an array of 0s, 1s, 2s in one pass with three pointers
Dutch National Flagthree pointers 20m
ใ€ฐ๏ธ#3
+150 XP
Wiggle Sort II
Rearrange so arr[0] < arr[1] > arr[2] < arr[3] ...
wiggle sortinterleaving halves 22m
๐Ÿ†Hackathon Tier3 programs ยท +520 XP
โฑ๏ธ#1
+175 XP
TimSort Implementation
Implement Python's own sorting algorithm: insertion sort + merge
TimSortnatural runs 38m
๐ŸŒŠ#2
+180 XP
K-Way Merge of Sorted Streams
Merge k sorted files into one sorted output using a tournament tree
k-way mergetournament tree 35m
๐Ÿ”ง#3
+165 XP
Sort a Nearly-Sorted Array
Use a min-heap of size k+1 to sort a k-sorted array in O(N log k)
k-sorted arraysliding window heap 32m
Complete all 5 tiers to earn the Sorting Algorithms Master badge
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L4 โ€” Data Structures