Data Structures and Algorithms

ืžื›ื™ืœ ืžื•ื“ืขื•ืช
ืกื™ื•ื•ื’ ืชื•ื›ืŸ
ื›ื•ืœื
+500
ื”ื•ืจื“ื•ืช
ืฆื™ืœื•ื ืžืกืš
ืฆื™ืœื•ื ืžืกืš
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ืฆื™ืœื•ื ืžืกืš

ืžื™ื“ืข ืขืœ ื”ืืคืœื™ืงืฆื™ื” ื”ื–ื•

๐Ÿ“š ืžื‘ื ื™ ื ืชื•ื ื™ื ื•ืืœื’ื•ืจื™ืชืžื™ื (ืžื”ื“ื•ืจืช 2025โ€“2026) ื”ื•ื ืกืคืจ ืกื™ืœื‘ื•ืก ืฉืœื ื”ืžื™ื•ืขื“ ืœืกื˜ื•ื“ื ื˜ื™ื ืœืชื•ืืจ ืจืืฉื•ืŸ, BSIT, ื”ื ื“ืกืช ืชื•ื›ื ื”, ืžืชื›ื ืชื™ื ืชื—ืจื•ืชื™ื™ื, ืžืคืชื—ื™ ืชื•ื›ื ื” ื•ืœื•ืžื“ื™ื ืขืฆืžื™ื™ื ืฉืจื•ืฆื™ื ืœืฉืœื•ื˜ ื‘ืืžื ื•ืช ื”ืงื™ื“ื•ื“, ืคืชืจื•ืŸ ื‘ืขื™ื•ืช ื•ืื•ืคื˜ื™ืžื™ื–ืฆื™ื”. ืžื”ื“ื•ืจื” ื–ื• ื›ื•ืœืœืช MCQs ื•ื—ื™ื“ื•ื ื™ื ื›ื“ื™ ืœืกืคืง ื’ื™ืฉื” ืืงื“ืžื™ืช ื•ืžืขืฉื™ืช ื›ืื—ื“ ืœื”ื‘ื ืช ืžื‘ื ื™ ื ืชื•ื ื™ื ื•ืืœื’ื•ืจื™ืชืžื™ื.

ื”ืกืคืจ ืžื›ืกื” ื”ืŸ ืชื™ืื•ืจื™ื” ื•ื”ืŸ ื™ื™ืฉื•ื, ื•ืขื•ื–ืจ ืœืชืœืžื™ื“ื™ื ืœื—ืงื•ืจ ื›ื™ืฆื“ ื ืชื•ื ื™ื ืžืื•ืจื’ื ื™ื, ืžืื•ื—ืกื ื™ื ื•ืžืชืคืขืœื™ื ื‘ื™ืขื™ืœื•ืช. ื”ื•ื ืžื’ืฉืจ ืขืœ ืžืขืจื›ื™ื, ืขืจื™ืžื•ืช, ืชื•ืจื™ื, ืจืฉื™ืžื•ืช ืžืงื•ืฉืจื•ืช, ืขืฆื™ื, ื’ืจืคื™ื, ื’ื™ื‘ื•ื‘, ืจืงื•ืจืกื™ื”, ื—ื™ืคื•ืฉ, ืžื™ื•ืŸ ื•ื˜ื›ื ื™ืงื•ืช ืขื™ืฆื•ื‘ ืืœื’ื•ืจื™ืชืžื™ื ืœื—ื™ื–ื•ืง ืžื™ื•ืžื ื•ื™ื•ืช ืื ืœื™ื˜ื™ื•ืช ื•ืชื›ื ื•ืช. ื”ืœื•ืžื“ื™ื ื™ืงื‘ืœื• ื’ื ืชื•ื‘ื ื•ืช ืœื’ื‘ื™ ืžื•ืจื›ื‘ื•ืช ื”ืืœื’ื•ืจื™ืชืžื™ื, ืืกื˜ืจื˜ื’ื™ื•ืช ืื•ืคื˜ื™ืžื™ื–ืฆื™ื” ื•ื™ื™ืฉื•ืžื™ DSA ื‘ืขื•ืœื ื”ืืžื™ืชื™.

๐Ÿ“‚ ืคืจืงื™ื ื•ื ื•ืฉืื™ื

๐Ÿ”น ืคืจืง 1: ืžื‘ื•ื ืœืžื‘ื ื™ ื ืชื•ื ื™ื

- ืžื”ื ืžื‘ื ื™ ื ืชื•ื ื™ื?
- ืฆื•ืจืš ื•ื—ืฉื™ื‘ื•ืช ืฉืœ ืžื‘ื ื™ ื ืชื•ื ื™ื
- ืกื•ื’ื™ ื ืชื•ื ื™ื ืžื•ืคืฉื˜ื™ื (ADT)
โ€“ ืกื•ื’ื™ ืžื‘ื ื™ ื ืชื•ื ื™ื: ืœื™ื ื™ืืจื™ ืœืขื•ืžืช ืœื ืœื™ื ืืจื™
- ื™ื™ืฉื•ืžื™ื ืžื”ื—ื™ื™ื ื”ืืžื™ืชื™ื™ื

๐Ÿ”น ืคืจืง 2: ืžืขืจื›ื™ื

โ€“ ื”ื’ื“ืจื” ื•ื™ื™ืฆื•ื’
โ€“ ืคืขื•ืœื•ืช: ืžืขื‘ืจ, ื”ื›ื ืกื”, ืžื—ื™ืงื”, ื—ื™ืคื•ืฉ
- ืžืขืจื›ื™ื ืจื‘ ืžื™ืžื“ื™ื™ื
โ€“ ื™ื™ืฉื•ืžื™ื ืฉืœ ืžืขืจื›ื™ื

๐Ÿ”น ืคืจืง 3: ืขืจื™ืžื•ืช

โ€“ ื”ื’ื“ืจื” ื•ืžื•ืฉื’ื™ื
- ืคืขื•ืœื•ืช ืžื—ืกื ื™ืช (ื“ื—ื™ืคื”, ืคื•ืค, ื”ืฆืฆื”)
โ€“ ื”ื˜ืžืขื” ื‘ืืžืฆืขื•ืช ืžืขืจื›ื™ื ื•ืจืฉื™ืžื•ืช ืžืงื•ืฉืจื•ืช
โ€“ ื™ื™ืฉื•ืžื™ื: ื”ืขืจื›ืช ื‘ื™ื˜ื•ื™, ืงืจื™ืื•ืช ืคื•ื ืงืฆื™ื”

๐Ÿ”น ืคืจืง 4: ืชื•ืจื™ื

- ืงื•ื ืกืคื˜ ื•ืคืขื•ืœื•ืช ื‘ืกื™ืกื™ื•ืช
โ€“ ืกื•ื’ื™ ืชื•ืจื™ื: ืชื•ืจ ืคืฉื•ื˜, ืชื•ืจ ืžืขื’ืœื™, Deque
โ€“ ื”ื˜ืžืขื” ื‘ืืžืฆืขื•ืช ืžืขืจื›ื™ื ื•ืจืฉื™ืžื•ืช ืžืงื•ืฉืจื•ืช
โ€“ ื™ื™ืฉื•ืžื™ื

๐Ÿ”น ืคืจืง 5: ืชื•ืจื™ ืขื“ื™ืคื•ืช

- ืžื•ืฉื’ ืขื“ื™ืคื•ืช
โ€“ ืฉื™ื˜ื•ืช ื™ื™ืฉื•ื
โ€“ ื™ื™ืฉื•ืžื™ื

๐Ÿ”น ืคืจืง 6: ืจืฉื™ืžื•ืช ืžืงื•ืฉืจื•ืช

- ืจืฉื™ืžื” ืžืงื•ืฉืจืช ื™ื—ื™ื“ื”
- ืจืฉื™ืžื” ืžืงื•ืฉืจืช ื›ืคื•ืœื”
โ€“ ืจืฉื™ืžื” ืžืงื•ืฉืจืช ืžืขื’ืœื™ืช
โ€“ ื™ื™ืฉื•ืžื™ื

๐Ÿ”น ืคืจืง 7: ืขืฆื™ื

- ื˜ืจืžื™ื ื•ืœื•ื’ื™ื” ื‘ืกื™ืกื™ืช (ืฆืžืชื™ื, ืฉื•ืจืฉ, ื’ื•ื‘ื”, ืชื•ืืจ)
โ€“ ืขืฆื™ื ื‘ื™ื ืืจื™ื™ื
- ืขืฆื™ ื—ื™ืคื•ืฉ ื‘ื™ื ืืจื™ื™ื (BST)
- ื—ืฆื™ื™ืช ืขืฆื™ื (ื‘ืกื“ืจ, ื”ื–ืžื ื” ืžืจืืฉ, ื”ื–ืžื ื” ืœืื—ืจ)
โ€“ ืขืฆื™ื ืžืชืงื“ืžื™ื: ืขืฆื™ AVL, B-Trees

๐Ÿ”น ืคืจืง 8: ื’ืจืคื™ื

- ื˜ืจืžื™ื ื•ืœื•ื’ื™ื•ืช ื’ืจืคื™ื (ืงื•ื“ืงื•ื“ื™ื, ืงืฆื•ื•ืช, ืชื•ืืจ, ื ืชื™ื‘ื™ื)
โ€“ ื™ื™ืฆื•ื’ ื’ืจืฃ: ืžื˜ืจื™ืฆืช ืกืžื™ื›ื•ืช ื•ืจืฉื™ืžื”
โ€“ ืžืขื‘ืจื™ ื’ืจืคื™ื: BFS, DFS
โ€“ ื™ื™ืฉื•ืžื™ื ืฉืœ ื’ืจืคื™ื

๐Ÿ”น ืคืจืง 9: ืจืงื•ืจืกื™ื”

- ืžื•ืฉื’ ื”ืจืงื•ืจืกื™ื”
- ืจืงื•ืจืกื™ื” ื™ืฉื™ืจื” ื•ืขืงื™ืคื”
- ืืœื’ื•ืจื™ืชืžื™ื ืจืงื•ืจืกื™ื‘ื™ื™ื (ืคืงื˜ื•ืจื™ืืœื™, ืคื™ื‘ื•ื ืืฆ'ื™, ืžื’ื“ืœื™ ื”ืื ื•ื™)
โ€“ ื™ื™ืฉื•ืžื™ื

๐Ÿ”น ืคืจืง 10: ื—ื™ืคื•ืฉ ืืœื’ื•ืจื™ืชืžื™ื

- ื—ื™ืคื•ืฉ ืœื™ื ืืจื™
- ื—ื™ืคื•ืฉ ื‘ื™ื ืืจื™
- ื˜ื›ื ื™ืงื•ืช ื—ื™ืคื•ืฉ ืžืชืงื“ืžื•ืช

๐Ÿ”น ืคืจืง 11: ืืœื’ื•ืจื™ืชืžื™ ืžื™ื•ืŸ

โ€“ ืžื™ื•ืŸ ื‘ื•ืขื•ืช, ืžื™ื•ืŸ ื‘ื—ื™ืจื”, ืžื™ื•ืŸ ื”ื›ื ืกื”
- ืžื™ื–ื•ื’ ืžื™ื•ืŸ, ืžื™ื•ืŸ ืžื”ื™ืจ, ืžื™ื•ืŸ ืขืจื™ืžื”
โ€“ ื”ืฉื•ื•ืืช ื™ืขื™ืœื•ืช

๐Ÿ”น ืคืจืง 12: ื”ืืฉื™ื ื’

- ืžื•ืฉื’ ื”ืืฉื™ื ื’
- ืคื•ื ืงืฆื™ื•ืช Hash
โ€“ ื˜ื›ื ื™ืงื•ืช ืœืคืชืจื•ืŸ ื”ืชื ื’ืฉื•ืช ื•ื”ืชื ื’ืฉื•ืช
โ€“ ื™ื™ืฉื•ืžื™ื

๐Ÿ”น ืคืจืง 13: ื˜ื›ื ื™ืงื•ืช ืื—ืกื•ืŸ ื•ืฉืœื™ืคื”

- ืžื•ืฉื’ื™ ืื—ืกื•ืŸ ืงื‘ืฆื™ื
- ืื—ืกื•ืŸ ื‘ืื™ื ื“ืงืก
- ื™ืกื•ื“ื•ืช ื ื™ื”ื•ืœ ื–ื™ื›ืจื•ืŸ

๐Ÿ”น ืคืจืง 14: ืžื•ืจื›ื‘ื•ืช ืืœื’ื•ืจื™ืชื

- ืžื•ืจื›ื‘ื•ืช ื–ืžืŸ (ื”ืžืงืจื” ื”ื˜ื•ื‘ ื‘ื™ื•ืชืจ, ื”ื’ืจื•ืข ื‘ื™ื•ืชืจ, ืžืžื•ืฆืข)
- ืžื•ืจื›ื‘ื•ืช ื”ื—ืœืœ
โ€“ Big O, Big ฮฉ, Big ฮ˜ ืกื™ืžื•ื ื™ื

๐Ÿ”น ืคืจืง 15: ืืœื’ื•ืจื™ืชืžื™ื ืคื•ืœื™ื ื•ืžื™ื™ื ื•ื‘ืœืชื™ ื ื™ืชื ื™ื ืœืคืชืจื•ืŸ

- ืืœื’ื•ืจื™ืชืžื™ ื–ืžืŸ ืคื•ืœื™ื ื•ืžื™ื™ื
โ€“ ื‘ืขื™ื•ืช NP-Complete ื•-NP-Hard
โ€“ ื“ื•ื’ืžืื•ืช

๐Ÿ”น ืคืจืง 16: ืฉื™ืขื•ืจื™ื ืฉืœ ืืœื’ื•ืจื™ืชืžื™ื ื™ืขื™ืœื™ื

- ืžืืคื™ื™ื ื™ื ืฉืœ ืืœื’ื•ืจื™ืชืžื™ื ื™ืขื™ืœื™ื
โ€“ ืชื™ืื•ืจื™ ืžืงืจื”

๐Ÿ”น ืคืจืง 17: ื˜ื›ื ื™ืงื•ืช ืขื™ืฆื•ื‘ ืืœื’ื•ืจื™ืชืžื™ื

- ื”ืคืจื“ ื•ื›ื‘ื•ืฉ
- ืชื›ื ื•ืช ื“ื™ื ืžื™
- ืืœื’ื•ืจื™ืชืžื™ื ื—ืžื“ื ื™ื

๐ŸŒŸ ืœืžื” ืœื‘ื—ื•ืจ ื‘ืกืคืจ ื”ื–ื”?

โœ… ืžื›ืกื” ืกื™ืœื‘ื•ืก DSA ืžืœื ืขื‘ื•ืจ BSCS, BSIT ื•ื”ื ื“ืกืช ืชื•ื›ื ื”
โœ… ื›ื•ืœืœ MCQs, ื—ื™ื“ื•ื ื™ื ื•ื™ื™ืฉื•ืžื™ื
โœ… ืžื—ื–ืง ื”ื›ื ื” ืœื‘ื—ื™ื ื”, ืขื‘ื•ื“ืช ืคืจื•ื™ืงื˜ื™ื ื•ืชื›ื ื•ืช ืชื—ืจื•ืชื™
โœ… ื‘ื•ื ื” ื‘ืกื™ืก ื—ื–ืง ื‘ืชื™ืื•ืจื™ื”, ืงื™ื“ื•ื“ ื•ืคืชืจื•ืŸ ื‘ืขื™ื•ืช
โœ… ืžื•ืฉืœื ืœืกื˜ื•ื“ื ื˜ื™ื, ืžืคืชื—ื™ื ื•ื”ื›ื ื” ืœืจืื™ื•ื ื•ืช

โœ ืกืคืจ ื–ื” ื‘ื”ืฉืจืืช ืžื—ื‘ืจื™ื:
ืชื•ืžืืก ื”. ืงื•ืจืžืŸ (CLRS), ื“ื•ื ืœื“ ืงื ื•ื˜, ืจื•ื‘ืจื˜ ืœืืคื•ืจ, ืžืืจืง ืืœืŸ ื•ื™ื™ืก

๐Ÿ“ฅ ื”ื•ืจื“ ืขื›ืฉื™ื•!
ืžื‘ื ื™ื ื•ืืœื’ื•ืจื™ืชืžื™ื ืฉืœ ื ืชื•ื ื™ื ืžืืกื˜ืจ ืขื ืžื”ื“ื•ืจืช 2025โ€“2026 ื•ื”ืขืœื• ืืช ื›ื™ืฉื•ืจื™ ื”ืชื›ื ื•ืช, ื”ืื•ืคื˜ื™ืžื™ื–ืฆื™ื” ื•ืคืชืจื•ืŸ ื”ื‘ืขื™ื•ืช ืฉืœื›ื.
ืขื“ื›ื•ืŸ ืื—ืจื•ืŸ ื‘ืชืืจื™ืš
5 ื‘ืื•ืงืณ 2025

ืื‘ื˜ื—ืช ื ืชื•ื ื™ื

ื›ื“ื™ ืœืฉืžื•ืจ ืขืœ ื”ื‘ื˜ื™ื—ื•ืช ืฆืจื™ืš ืงื•ื“ื ื›ืœ ืœื”ื‘ื™ืŸ ืื™ืš ื”ืžืคืชื—ื™ื ืื•ืกืคื™ื ื•ืžืฉืชืคื™ื ืืช ื”ื ืชื•ื ื™ื ืฉืœืš. ื ื•ื”ืœื™ ืคืจื˜ื™ื•ืช ื”ื ืชื•ื ื™ื ื•ืื‘ื˜ื—ืช ื”ื ืชื•ื ื™ื ืขืฉื•ื™ื™ื ืœื”ืฉืชื ื•ืช ื‘ื”ืชืื ืœืฉื™ืžื•ืฉ, ืœืื–ื•ืจ ื•ืœื’ื™ืœ ื”ืžืฉืชืžืฉ. ื”ืžืคืชื— ืกื™ืคืง ืืช ื”ืžื™ื“ืข ื”ื–ื” ื•ื”ื•ื ืขืฉื•ื™ ืœืขื“ื›ืŸ ืื•ืชื• ืžื“ื™ ืคืขื.
ืœื ืžืชื‘ืฆืข ืฉื™ืชื•ืฃ ื ืชื•ื ื™ื ืขื ืฆื“ื“ื™ื ืฉืœื™ืฉื™ื™ื
ื”ื ืชื•ื ื™ื ืžื•ืฆืคื ื™ื ื‘ื–ืžืŸ ื”ื”ืขื‘ืจื”
ืื™ ืืคืฉืจ ืœืžื—ื•ืง ืืช ื”ื ืชื•ื ื™ื

ืžื” ื—ื“ืฉ?

๐Ÿš€ Initial Launch of Data Structures and Algorithms

โœจ Whatโ€™s Inside:
โœ… Complete syllabus book covering DSA concepts & implementation
โœ… MCQs and quizzes for exams & interviews

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๐Ÿ‘ฉโ€๐ŸŽ“ Students of BSCS, BSIT, Software Engineering
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Start mastering DSA with Data Structures & Algorithms 2025โ€“2026ย Edition!ย ๐Ÿš€

ืชืžื™ื›ื” ื‘ืืคืœื™ืงืฆื™ื”

ืžื™ื“ืข ืขืœ ืžืคืชื—ื™ ื”ืืคืœื™ืงืฆื™ื”
kamran Ahmed
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