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Mastery
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Mastery

Internals samajhne wale experts

The deep end. Ab scripts chodiye systems banana sikhiye. Un graph aur dynamic programming pattern ko master karein jo Staff/Principal engineers technical interviews me maangte hain.

Graph traversal
Dynamic programming
System-level thinking

10 is track mein algorithms

01
Hard
🕸 Graph

Dijkstra's Shortest Path

Priority queue use karke source se sabhi nodes tak shortest paths dhundhein. GPS navigation ki backbone.

Time: O((V + E) log V)
Space: O(V)
25 min
000
Shuru karein
02
Hard
🧮 Dynamic Programming

0/1 Knapsack (DP)

Weight limit ke andar value maximize karein. DP table ko row by row bharte dekhein.

Time: O(n × W)
Space: O(n × W)
25 min
000
Shuru karein
03
Hard
🧮 Dynamic Programming

Longest Common Subsequence

Do strings mein shared sabse lamba subsequence dhundhein. Diff tools aur DNA alignment ka core.

Time: O(m × n)
Space: O(m × n)
20 min
000
Shuru karein
04
Hard
🕸 Graph

Topological Sort

Dependencies respect karte hue tasks ko order karein. Kahn's algorithm ko zero in-degree nodes hataate dekhein.

Time: O(V + E)
Space: O(V)
20 min
000
Shuru karein
05
Hard
🕸 Graph

Kruskal's MST

Cycles banaye bina lowest-weight edges ko greedily add karke minimum spanning tree banayein.

Time: O(E log E)
Space: O(V)
25 min
000
Shuru karein
06
Hard
🌳 Trees

Trie (Prefix Tree)

Letter by letter strings insert aur search karein. Dekhein ki autocomplete under the hood kaise kaam karta hai.

Time: O(m) per op
Space: O(m × n)
20 min
000
Shuru karein
07
Hard
🕸 Graph

Floyd-Warshall

3-loop DP ke saath all-pairs shortest paths. O(V³) mein distance matrix update hote dekhein.

Time: O(V³)
Space: O(V²)
22 min
000
Shuru karein
08
Hard
🌳 Trees

Segment Tree

O(log n) mein range queries aur point updates. Tree build aur sums upar propagate hote dekhein.

Time: O(log n) query/update
Space: O(n)
25 min
000
Shuru karein
09
Hard
🧮 Dynamic Programming

Coin Change (DP)

Ek amount banane ke liye minimum coins. DP array ko 0 se target tak bharte dekhein.

Time: O(amount × n)
Space: O(amount)
18 min
000
Shuru karein
10
Hard
Bit Ops

Bit Manipulation Tricks

AND, OR, XOR, shifts — cryptography, graphics, aur competitive programming ke peeche ke operations.

Time: O(1)
Space: O(1)
18 min
000
Shuru karein