Introduction to Algorithms

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ืฆื™ืœื•ื ืžืกืš

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

๐Ÿ“˜ ืžื‘ื•ื ืœืืœื’ื•ืจื™ืชืžื™ื - (ืžื”ื“ื•ืจืช 2025โ€“2026)

๐Ÿ“š ืžื‘ื•ื ืœืืœื’ื•ืจื™ืชืžื™ื (ืžื”ื“ื•ืจืช 2025โ€“2026) ื”ื•ื ืžืฉืื‘ ืืงื“ืžื™ ืžืงื™ืฃ, ืžื‘ื•ืกืก ืกื™ืœื‘ื•ืก, ื”ืžื•ืชืื ืœืกื˜ื•ื“ื ื˜ื™ื ืœืชื•ืืจ ืจืืฉื•ืŸ/MS, BS/IT, ื”ื ื“ืกืช ืชื•ื›ื ื” ื•ืœืœื•ืžื“ื™ื ืขืฆืžื™ื™ื ื”ืฉื•ืืคื™ื ืœืฉืœื•ื˜ ื‘ืืœื’ื•ืจื™ืชืžื™ื. ืžื”ื“ื•ืจื” ื–ื• ืžืกืคืงืช ื”ืขืจื•ืช ืžืคื•ืจื˜ื•ืช, MCQs ื•ื—ื™ื“ื•ื ื™ื, ืžื” ืฉื”ื•ืคืš ืืช ืœืžื™ื“ืช ื”ืืœื’ื•ืจื™ืชื ื‘ืจื•ืจื” ื•ืžืžื•ืงื“ืช ื‘ื—ื™ื ื•ืช

ืขื ืกื™ืœื‘ื•ืก ืžื•ื‘ื ื”, ื”ืœื•ืžื“ื™ื ื™ื›ื•ืœื™ื ืœื ืชื—, ืœืขืฆื‘ ื•ืœื™ื™ืฉื ืืœื’ื•ืจื™ืชืžื™ื ืชื•ืš ื—ื™ื–ื•ืง ื›ื™ืฉื•ืจื™ ืคืชืจื•ืŸ ื‘ืขื™ื•ืช ื•ื—ืฉื™ื‘ื” ื—ื™ืฉื•ื‘ื™ืช ืฉืœื”ื. ืกืคืจ ื–ื” ืžื’ืฉืจ ื‘ื™ืŸ ืชื™ืื•ืจื™ื” ืœืคืจืงื˜ื™ืงื”, ื•ืžื‘ื˜ื™ื— ืžื•ื›ื ื•ืช ืœื‘ื—ื™ื ื•ืช, ืจืื™ื•ื ื•ืช ื•ื™ื™ืฉื•ืžื™ื ืžื”ืขื•ืœื ื”ืืžื™ืชื™.

๐Ÿ“‚ ืคืจืงื™ื ื•ื ื•ืฉืื™ื

๐Ÿ”น ืคืจืง 1: ืชืคืงื™ื“ ื”ืืœื’ื•ืจื™ืชืžื™ื ื‘ืžื—ืฉื•ื‘
- ืืœื’ื•ืจื™ืชืžื™ื ื•ื—ื™ืฉื•ื‘ื™ื
- ืžืืคื™ื™ื ื™ื ืฉืœ ืืœื’ื•ืจื™ืชืžื™ื
- ืืœื’ื•ืจื™ืชืžื™ื ืœืขื•ืžืช ืชื•ื›ื ื™ื•ืช

๐Ÿ”น ืคืจืง 2: ืชื—ื™ืœืช ื”ืขื‘ื•ื“ื”
- ืžื™ื•ืŸ ื”ื›ื ืกื”
- ื ื™ืชื•ื— ืืœื’ื•ืจื™ืชืžื™ื
- ืขื™ืฆื•ื‘ ืืœื’ื•ืจื™ืชืžื™ื

๐Ÿ”น ืคืจืง 3: ืฆืžื™ื—ื” ืฉืœ ืคื•ื ืงืฆื™ื•ืช
- ืกื™ืžื•ืŸ ืืกื™ืžืคื˜ื•ื˜ื™
- ืกื™ืžื•ื ื™ื ืกื˜ื ื“ืจื˜ื™ื™ื ื•ืคื•ื ืงืฆื™ื•ืช ื ืคื•ืฆื•ืช
- ื”ืฉื•ื•ืืช ืฉื™ืขื•ืจื™ ืฆืžื™ื—ื”

๐Ÿ”น ืคืจืง 4: ื”ืคืจื“-ื•ื›ื‘ืฉ
- ื”ืงืฉืจ ื”ื—ื–ืจืชื™
- ืžื™ื–ื•ื’ ืžื™ื•ืŸ
- ืขืฅ ืจืงื•ืจืกื™ื” ื•ืžืฉืคื˜ ืžืืกื˜ืจ

๐Ÿ”น ืคืจืง 5: ื ื™ืชื•ื— ื”ืกืชื‘ืจื•ืชื™ ื•ืืœื’ื•ืจื™ืชืžื™ื ืืงืจืื™ื™ื
- ืžืฉืชื ื™ื ืืงืจืื™ื™ื ืžื—ื•ื•ืŸ
- ืืœื’ื•ืจื™ืชืžื™ื ืืงืจืื™ื™ื
- ื–ืžืŸ ืจื™ืฆื” ืฆืคื•ื™

๐Ÿ”น ืคืจืง 6: ืขืจืžื•ืช
- ืžื‘ื ื” ื ืชื•ื ื™ื ืขืจื™ืžื”
- ื‘ื ื™ื™ืช ืขืจื™ืžื”
- ืืœื’ื•ืจื™ืชื Heapsort
- ืชื•ืจื™ ืขื“ื™ืคื•ืช

๐Ÿ”น ืคืจืง 7: ืžื™ื•ืŸ ืžื”ื™ืจ
- ื—ืœื•ืงื” ืœืžื—ื™ืฆื•ืช
- ื ื™ืชื•ื— ื‘ื™ืฆื•ืขื™ื
- ืžื™ื•ืŸ ืžื”ื™ืจ ืืงืจืื™
- ืจืงื•ืจืกื™ื™ืช ื–ื ื‘

๐Ÿ”น ืคืจืง 8: ืžื™ื•ืŸ ื‘ื–ืžืŸ ืœื™ื ื™ืืจื™
- ืžื™ื•ืŸ ืกืคื™ืจื”
- ืžื™ื•ืŸ ืจื“ื™ืงืก
- ืžื™ื•ืŸ ื“ืœื™

๐Ÿ”น ืคืจืง 9: ื—ืฆื™ื•ื ื™ื ื•ืกื˜ื˜ื™ืกื˜ื™ืงื•ืช ืกื“ืจ
- ืžื™ื ื™ืžื•ื ื•ืžืงืกื™ืžื•ื
- ื‘ื—ื™ืจื” ื‘ื–ืžืŸ ืœื™ื ื™ืืจื™

๐Ÿ”น ืคืจืง 10: ืžื‘ื ื™ ื ืชื•ื ื™ื ื™ืกื•ื“ื™ื™ื
- ืขืจื™ืžื•ืช ื•ืชื•ืจื™ื
- ืจืฉื™ืžื•ืช ืžืงื•ืฉืจื•ืช
- ื™ื™ืฉื•ื ืžืฆื‘ื™ืขื™ื ื•ืื•ื‘ื™ื™ืงื˜ื™ื

๐Ÿ”น ืคืจืง 11: ื˜ื‘ืœืื•ืช ื—ืฉื™ืฉ
- ืคื•ื ืงืฆื™ื•ืช Hash
- ืคืชื— ื›ืชื•ื‘ืช
- ืฉืจืฉื•ืจ
- ื”ืืฉื™ื ื’ ืื•ื ื™ื‘ืจืกืœื™ืช

๐Ÿ”น ืคืจืง 12: ืขืฆื™ ื—ื™ืคื•ืฉ ื‘ื™ื ืืจื™ื™ื
- BST Operations
- ื—ืฆื™ื™ืช ืขืฆื™ื
- ื ื™ืชื•ื— ืžืงืจื” ืžืžื•ืฆืข

๐Ÿ”น ืคืจืง 13: ืขืฆื™ื ืื“ื•ืžื™ื-ืฉื—ื•ืจื™ื
- ืžืืคื™ื™ื ื™ื ืฉืœ ืขืฆื™ื ืื“ื•ืžื™ื-ืฉื—ื•ืจื™ื
- ื”ื›ื ืกื” ื•ืžื—ื™ืงื”
- ืกื™ื‘ื•ื‘ื™ื

๐ŸŒŸ ืœืžื” ืœื‘ื—ื•ืจ ื‘ืืคืœื™ืงืฆื™ื”/ืกืคืจ ื–ื”?
- ืžื›ืกื” ืืช ื”ืกื™ืœื‘ื•ืก ื”ืžืœื ืฉืœ ืžื‘ื•ื ืœืืœื’ื•ืจื™ืชืžื™ื ื‘ืžืชื›ื•ื ืช ืืงื“ืžื™ืช ืžื•ื‘ื ื™ืช.
- ื›ื•ืœืœ MCQs, ื—ื™ื“ื•ื ื™ื ื•ื”ืขืจื•ืช ืžืคืชื— ืœืชืจื’ื•ืœ ื˜ื•ื‘ ื™ื•ืชืจ.
- ืžืกืคืง ื‘ื”ื™ืจื•ืช ื•ื™ื–ื•ืืœื™ืช ื•ื”ืกื‘ืจื™ื ืฉืœื‘ ืื—ืจ ืฉืœื‘.
- ืฉื™ืžื•ืฉื™ ืขื‘ื•ืจ ืคืจื•ื™ืงื˜ื™ื, ื‘ื—ื™ื ื•ืช ื•ื”ื›ื ื” ืœืจืื™ื•ื ื•ืช ื˜ื›ื ื™ื™ื.
- ื‘ื•ื ื” ื™ืกื•ื“ื•ืช ื—ื–ืงื™ื ื‘ืžื‘ื ื™ ื ืชื•ื ื™ื ื•ืคืชืจื•ืŸ ื‘ืขื™ื•ืช ืืœื’ื•ืจื™ืชืžื™.

โœ ืืคืœื™ืงืฆื™ื” ื–ื• ื‘ื”ืฉืจืืช ืžื—ื‘ืจื™ื:
Fethi A. Rabhi, Wojciech Szpankowski, Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest

๐Ÿ“ฅ ื”ื•ืจื“ ืขื›ืฉื™ื•!
ื”ืชื—ืœ ืœืฉืœื•ื˜ ื‘ืืœื’ื•ืจื™ืชืžื™ื ืขื Introduction to Algorithms (ืžื”ื“ื•ืจืช 2025โ€“2026) ื•ืงื‘ืœ ื‘ื™ื˜ื—ื•ืŸ ื‘ืคืชืจื•ืŸ ื‘ืขื™ื•ืช ื—ื™ืฉื•ื‘ื™ื•ืชย ื‘ื™ืขื™ืœื•ืช.
ืขื“ื›ื•ืŸ ืื—ืจื•ืŸ ื‘ืชืืจื™ืš
19 ื‘ื“ืฆืžืณ 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?

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ืชืžื™ื›ื” ื‘ืืคืœื™ืงืฆื™ื”

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