Data Structure and Algorithm

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

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

ืžื‘ื ื” ื”ื ืชื•ื ื™ื ื•ื”ืืœื’ื•ืจื™ืชื ืฉืœ ื”ืืคืœื™ืงืฆื™ื” ืžื™ื•ืขื“ ืœืœืžื™ื“ื” ืžื”ื™ืจื”, ืชื™ืงื•ื ื™ื, ื”ืคื ื™ื•ืช ื‘ื–ืžืŸ ืžื‘ื—ื ื™ื ื•ืจืื™ื•ื ื•ืช.

ืœืืคืœื™ืงืฆื™ื” ื”ื–ื• ื™ืฉ 130 ื ื•ืฉืื™ื ื‘-5 ืคืจืงื™ื, ืžื‘ื•ืกืกื™ื ืœื—ืœื•ื˜ื™ืŸ ืขืœ ื‘ืกื™ืก ืžืขืฉื™ ื›ืžื• ื’ื ืขืœ ื‘ืกื™ืก ื—ื–ืง ืฉืœ ื™ื“ืข ืชื™ืื•ืจื˜ื™ ืขื ื”ืขืจื•ืช ืฉื ื›ืชื‘ื• ื‘ืื ื’ืœื™ืช ืคืฉื•ื˜ื” ื•ืžื•ื‘ื ืช ืžืื•ื“.

ืืคืœื™ืงืฆื™ื” ื–ื• ืžื›ืกื” ืืช ืจื•ื‘ ื”ื ื•ืฉืื™ื ื”ืงืฉื•ืจื™ื ื•ื”ืกื‘ืจ ืžืคื•ืจื˜ ืขื ื›ืœ ื”ื ื•ืฉืื™ื ื”ื‘ืกื™ืกื™ื™ื.

ื—ืœืง ืžื”ื ื•ืฉืื™ื ื”ืžื›ื•ืกื™ื ื‘ืืคืœื™ืงืฆื™ื” ื”ื:
1. ืžื‘ื•ื ืœืืœื’ื•ืจื™ืชืžื™ื
2. ื™ืขื™ืœื•ืช ื”ืืœื’ื•ืจื™ืชื
3. ื ื™ืชื•ื— ืžื™ื•ืŸ ื”ื›ื ืกื”
4. ืžื™ื•ืŸ ื”ื›ื ืกื”
5. ื’ื™ืฉืช ื”ืคืจื“-ื•ื›ื‘ืฉ
6. ื ื™ืชื•ื— ืืœื’ื•ืจื™ืชืžื™ื ืฉืœ ื—ืœื•ืงื”-ื•ื›ื‘ืฉ
7. ืกื™ืžื•ืŸ ืืกื™ืžืคื˜ื•ื˜ื™
8. ืกื™ืžื•ืŸ ืืกื™ืžืคื˜ื•ื˜ื™ ื‘ืžืฉื•ื•ืื•ืช ื•ืื™-ืฉื•ื•ื™ื•ืŸ
9. ืกื™ืžื•ื ื™ื ืกื˜ื ื“ืจื˜ื™ื™ื ื•ืคื•ื ืงืฆื™ื•ืช ื ืคื•ืฆื•ืช
10. ื‘ืขื™ื™ืช ื”ื’ื™ื•ืก
11. ืื™ื ื“ื™ืงื˜ื•ืจ ืžืฉืชื ื™ื ืืงืจืื™ื™ื
12. ื›ื“ื•ืจื™ื ื•ืคื—ื™ื
13. ื ื™ืชื•ื— ื”ืกืชื‘ืจื•ืชื™ ื•ืฉื™ืžื•ืฉื™ื ื ื•ืกืคื™ื ื‘ืžืฉืชื ื™ื ืืงืจืื™ื™ื ืฉืœ ืื™ื ื“ื™ืงื˜ื•ืจื™ื
14. ืคืกื™ื
15. ื‘ืขื™ื™ืช ื”ื’ื™ื•ืก ื”ืžืงื•ื•ืŸ
16. ืกืงื™ืจื” ื›ืœืœื™ืช ืฉืœ ื”ื™ืฉื ื•ืช
17. ืฉื™ื˜ืช ื”ื”ื—ืœืคื” ืœื”ื™ืฉื ื•ืช
18. ืฉื™ื˜ืช ื”ืจืงื•ืจืกื™ื”-ืขืฅ
19. ืฉื™ื˜ืช ื”ืžืืกื˜ืจ
20. ื”ื•ื›ื—ื” ืœืžืฉืคื˜ ื”ืจืืฉื™
21. ื”ื”ื•ื›ื—ื” ืœืกืžื›ื•ื™ื•ืช ืžื“ื•ื™ืงื•ืช
22. ืจืฆืคื•ืช ื•ืชืงืจื•ืช
23. ืืœื’ื•ืจื™ืชืžื™ื ืืงืจืื™ื™ื
24. ืขืจื™ืžื•ืช
25. ืื—ื–ืงืช ืจื›ื•ืฉ ื”ืขืจื™ืžื”
26. ื‘ื ื™ื™ืช ืขืจืžื”
27. ืืœื’ื•ืจื™ืชื ื”-heapsort
28. ืชื•ืจื™ ืขื“ื™ืคื•ืช
29. ืชื™ืื•ืจ ืžื™ื•ืŸ ืžื”ื™ืจ
30. ื‘ื™ืฆื•ืข ืฉืœ Quicksort
31. ื’ืจืกื” ืืงืจืื™ืช ืฉืœ quicksort
32. ื ื™ืชื•ื— ืงื•ื•ื™ืงืกื•ืจื˜
33. ื’ื‘ื•ืœื•ืช ืชื—ืชื•ื ื™ื ืœืžื™ื•ืŸ
34. ืžื™ื•ืŸ ืกืคื™ืจื”
35. ืžื™ื•ืŸ ืจื“ื™ืงืก
36. ืžื™ื ื™ืžื•ื ื•ืžืงืกื™ืžื•ื
37. ื‘ื—ื™ืจื” ื‘ื–ืžืŸ ืœื™ื ื™ืืจื™ ืฆืคื•ื™
38. ืžื™ื•ืŸ ื“ืœื™
39. ืกืœืงืฆื™ื” ื‘ื–ืžืŸ ืœื™ื ื™ืืจื™ ื‘ืžืงืจื” ื”ื’ืจื•ืข
40. ืขืจื™ืžื•ืช ื•ืชื•ืจื™ื
41. ืจืฉื™ืžื•ืช ืžืงื•ืฉืจื•ืช
42. ื™ื™ืฉื•ื ืžืฆื‘ื™ืขื™ื ื•ืื•ื‘ื™ื™ืงื˜ื™ื
43. ืžื™ื™ืฆื’ ืขืฆื™ื ืฉื•ืจืฉื™ื™ื
44. ื˜ื‘ืœืื•ืช ื›ืชื•ื‘ื•ืช ื™ืฉื™ืจื•ืช
45. ื˜ื‘ืœืื•ืช ื—ืฉื™ืฉ
46. โ€‹โ€‹ืคื•ื ืงืฆื™ื•ืช Hash
47. ืคื ื™ื™ื” ืคืชื•ื—ื”
48. ื’ื™ื‘ื•ื‘ ืžื•ืฉืœื
49. ืžื‘ื•ื ืœืขืฅ ื”ื—ื™ืคื•ืฉ ื”ื‘ื™ื ืืจื™
50. ืฉืื™ืœืชืช ืขืฅ ื—ื™ืคื•ืฉ ื‘ื™ื ืืจื™
51. ื”ื›ื ืกื” ื•ืžื—ื™ืงื”
52. ืขืฆื™ ื—ื™ืคื•ืฉ ื‘ื™ื ืืจื™ื™ื ืฉื ื‘ื ื• ื‘ืื•ืคืŸ ืืงืจืื™
53. ืขืฆื™ื ืื“ื•ืžื™ื-ืฉื—ื•ืจื™ื
54. ืกื™ื‘ื•ื‘ื™ื ืฉืœ ืขืฅ ืฉื—ื•ืจ ืื“ื•ื
55. ื”ื›ื ืกื” ื‘ืขืฅ ืฉื—ื•ืจ ืื“ื•ื
56. ืžื—ื™ืงื” ื‘ืขืฅ ืฉื—ื•ืจ ืื“ื•ื
57. ืกื˜ื˜ื™ืกื˜ื™ืงื•ืช ืกื“ืจ ื“ื™ื ืžื™ื•ืช
58. ื”ื’ื“ืœืช ืžื‘ื ื” ื ืชื•ื ื™ื
59. ืขืฆื™ ืžืจื•ื•ื—
60. ืกืงื™ืจื” ื›ืœืœื™ืช ืฉืœ ืชื›ื ื•ืช ื“ื™ื ืžื™
61. ืชื–ืžื•ืŸ ืงื• ื™ื™ืฆื•ืจ
62. ื›ืคืœ ืžื˜ืจื™ืฆื”-ืฉืจืฉืจืช
63. ืืœืžื ื˜ื™ื ืฉืœ ืชื›ื ื•ืช ื“ื™ื ืžื™
64. ื”ืžืฉื ื” ื”ืฉื›ื™ื— ื”ืืจื•ืš ื‘ื™ื•ืชืจ
65. ืขืฆื™ ื—ื™ืคื•ืฉ ื‘ื™ื ืืจื™ื™ื ืื•ืคื˜ื™ืžืœื™ื™ื
66. ืืœื’ื•ืจื™ืชืžื™ื ื—ืžื“ื ื™ื
67. ืืœืžื ื˜ื™ื ืฉืœ ื”ืืกื˜ืจื˜ื’ื™ื” ื”ื—ืžื“ื ื™ืช
68. ืงื•ื“ื™ ื”ืืคืžืŸ
69. ื™ืกื•ื“ื•ืช ืชื™ืื•ืจื˜ื™ื™ื ืœืฉื™ื˜ื•ืช ื—ืžื“ื ื™ื•ืช
70. ื‘ืขื™ื” ื‘ืชื–ืžื•ืŸ ืžืฉื™ืžื•ืช
71. ื ื™ืชื•ื— ืžืฆื˜ื‘ืจ
72. ืฉื™ื˜ืช ื”ื—ืฉื‘ื•ื ืื•ืช
73. ืฉื™ื˜ืช ื”ืคื•ื˜ื ืฆื™ืืœ
74. ื˜ื‘ืœืื•ืช ื“ื™ื ืžื™ื•ืช
75. B-Trees
76. ื”ื’ื“ืจื” ืฉืœ ืขืฆื™ B
77. ืคืขื•ืœื•ืช ื‘ืกื™ืกื™ื•ืช ืขืœ ืขืฆื™ B
78. ืžื—ื™ืงืช ืžืคืชื— ืžืขืฅ B
79. ืขืจื™ืžื•ืช ื‘ื™ื ื•ืžื™ื•ืช
80. ืคืขื•ืœื•ืช ืขืœ ืขืจื™ืžื•ืช ื‘ื™ื ื•ืžื™ื•ืช
81. ืขืจื™ืžื•ืช ืคื™ื‘ื•ื ืืฆ'ื™
82. ืคืขื•ืœื•ืช ืขืจื™ืžื” ื ื™ืชื ืช ืœืžื™ื–ื•ื’
83. ื”ืงื˜ื ืช ืžืคืชื— ื•ืžื—ื™ืงืช ืฆื•ืžืช
84. ื’ื‘ื•ืœ ื”ืžื“ืจื’ื” ื”ืžืงืกื™ืžืœื™ืช
85. ืžื‘ื ื™ ื ืชื•ื ื™ื ืขื‘ื•ืจ ืงื‘ื•ืฆื•ืช ืžืคื•ืจืงื•ืช
86. ื™ื™ืฆื•ื’ ืจืฉื™ืžื” ืžืงื•ืฉืจืช ืฉืœ ืงื‘ื•ืฆื•ืช ืžืคื•ืจืงื•ืช
87. ื™ืขืจื•ืช ืžืคื•ืจืงื™ื
88. ื ื™ืชื•ื— ืื™ื—ื•ื“ ืœืคื™ ื“ืจื’ื” ืขื ื“ื—ื™ืกืช ื ืชื™ื‘
89. ื™ื™ืฆื•ื’ื™ื ืฉืœ ื’ืจืคื™ื
90. ื—ื™ืคื•ืฉ ืจื•ื—ื‘ ืจืืฉื•ืŸ
91. ื—ื™ืคื•ืฉ ืขื•ืžืง-ืจืืฉื•ืŸ
92. ืžื™ื•ืŸ ื˜ื•ืคื•ืœื•ื’ื™
93. ืจื›ื™ื‘ื™ื ืžื—ื•ื‘ืจื™ื ื—ื–ืง
94. ืขืฆื™ื ืžื™ื ื™ืžืœื™ื™ื
95. ื’ื™ื“ื•ืœ ืขืฅ ืคื•ืจืฉ ืžื™ื ื™ืžื•ื
96. ื”ืืœื’ื•ืจื™ืชืžื™ื ืฉืœ Kruskal ื•-Prim
97. ื”ื ืชื™ื‘ื™ื ื”ืงืฆืจื™ื ื‘ื™ื•ืชืจ ื‘ืžืงื•ืจ ื™ื—ื™ื“
98. ืืœื’ื•ืจื™ืชื ื‘ืœืžืŸ-ืคื•ืจื“
99. ื”ื ืชื™ื‘ื™ื ื”ืงืฆืจื™ื ื‘ื™ื•ืชืจ ื‘ืžืงื•ืจ ื™ื—ื™ื“ ื‘ื’ืจืคื™ื ื-ืžื—ื–ื•ืจื™ื™ื ืžื›ื•ื•ื ื™ื
100. ื”ืืœื’ื•ืจื™ืชื ืฉืœ ื“ื™ืงืกื˜ืจื”
101. ืื™ืœื•ืฆื™ ื”ื‘ื“ืœ ื•ื”ื“ืจื›ื™ื ื”ืงืฆืจื•ืช ื‘ื™ื•ืชืจ
102. ื”ื ืชื™ื‘ื™ื ื”ืงืฆืจื™ื ื‘ื™ื•ืชืจ ื•ื›ืคืœ ืžื˜ืจื™ืฆื”
103. ื”ืืœื’ื•ืจื™ืชื ืฉืœ ืคืœื•ื™ื“-ื•ืจืฉืœ

ืืคืœื™ืงืฆื™ื” ื–ื• ืชื”ื™ื” ืฉื™ืžื•ืฉื™ืช ืœืขื™ื•ืŸ ืžื”ื™ืจ. ื ื™ืชืŸ ืœืกื™ื™ื ืืช ื”ืขื“ื›ื•ืŸ ืฉืœ ื›ืœ ื”ืžื•ืฉื’ื™ื ืชื•ืš ืžืกืคืจ ืฉืขื•ืช ื‘ืืžืฆืขื•ืช ื”ืืคืœื™ืงืฆื™ื” ื”ื–ื•.

ืืœื’ื•ืจื™ืชืžื™ื ื”ื ื—ืœืง ืžืงื•ืจืกื™ ื—ื™ื ื•ืš ืœืžื“ืขื™ ื”ืžื—ืฉื‘ ื•ื”ื ื“ืกืช ืชื•ื›ื ื” ื•ืชื›ื ื™ื•ืช ืœืชื•ืืจ ื‘ื˜ื›ื ื•ืœื•ื’ื™ื™ืช ืžื™ื“ืข ืฉืœ ืื•ื ื™ื‘ืจืกื™ื˜ืื•ืช ืฉื•ื ื•ืช.

ื‘ืžืงื•ื ืœืชืช ืœื ื• ื“ื™ืจื•ื’ ื ืžื•ืš ื™ื•ืชืจ, ืื ื ืฉืœื— ืœื ื• ืืช ื”ืฉืื™ืœืชื•ืช, ื”ื‘ืขื™ื•ืช ืฉืœืš ื•ืชืŸ ืœื ื• ื“ื™ืจื•ื’ ื•ื”ืฆืขื” ื—ืฉื•ื‘ื™ื ื›ื“ื™ ืฉื ื•ื›ืœ ืœืฉืงื•ืœ ื–ืืช ืขื‘ื•ืจ ืขื“ื›ื•ื ื™ื ืขืชื™ื“ื™ื™ื. ื ืฉืžื— ืœืคืชื•ืจ ืœื›ื ืื•ืชื.
ืขื“ื›ื•ืŸ ืื—ืจื•ืŸ ื‘ืชืืจื™ืš
20 ื‘ื™ื•ืœื™ 2024

ืื‘ื˜ื—ื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•ื ื™ื

ืชืžื™ื›ื” ื‘ืืคืœื™ืงืฆื™ื”

ืžื™ื“ืข ืขืœ ืžืคืชื—ื™ ื”ืืคืœื™ืงืฆื™ื”
Bhanuben B. Thummar
georgydoki@gmail.com
India
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