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Merge Sort
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KuoE0
March 05, 2013
Programming
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Merge Sort
KuoE0
March 05, 2013
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Transcript
Merge Sort ֲࢸݢʢKuoE0ʣ KuoE0.tw@gmail.com KuoE0.ch
Attribution-ShareAlike 3.0 Unported (CC BY-SA 3.0) http://creativecommons.org/licenses/by-sa/3.0/ Latest update: Mar
6, 2013
Traditional Merge Sort
Algorithm ࠾༻ divide & conquer ࡦུ
Divide ሡᙛલᏐྻሣׂᬇਐߦ ౸ᷮႫҰݸݩૉ
2 9 4 3 8 7 5 1 6 2
9 4 3 8 7 5 1 6 2 9 4 3 8 7 5 1 6 2 9 4 8 3 5 7 6 1 9 2
Conquer 1. ར༻ၷݸࢦඪࢦၷݸ༗ংᏐྻ A ᢛ B 2. ൺֱࢦඪࢦతᏐ值 3. ሡֱখతᏐ值์ೖ৽తᏐྻ
Cɼฒሡ֘ࢦඪ ࢦԼҰᏐ值 4. ౸ҰࢦඪࢦᏐྻ݁ඌɼሡ㠥ҰᏐྻႫ ᰨతᏐ值์ೖᏐྻ C
Merge Two Sequence 9 8 7 6 5 4 3
2 1
Merge Two Sequence 9 8 7 6 5 4 3
2 1
Merge Two Sequence 9 8 7 6 5 4 3
2 1
Merge Two Sequence 9 8 7 6 5 4 3
2 1
Merge Two Sequence 9 8 7 6 5 4 3
2 1
Merge Two Sequence 9 8 7 6 5 4 3
2 1
Merge Two Sequence 9 8 7 6 5 4 3
2 1
Merge Two Sequence 9 8 7 6 5 4 3
2 1
Merge Two Sequence 9 8 7 6 5 4 3
2 1
Merge Two Sequence 9 8 7 6 5 4 3
2 1
1 2 3 4 5 6 7 8 9 2
3 4 8 9 1 5 6 7 2 4 9 3 8 5 7 1 6 2 9 4 8 3 5 7 6 1 9 2
Natural Merge Sort
Key Point ར༻Ꮠྻதత༗ংᏐྻยஈɼҎݮগׂ࣍Ꮠʂ
༗ংᏐྻยஈ 1 3 4 2 7 9 8 0 5
1 3 4 2 7 9 8 0 5
How to Divide 1 3 4 2 7 9 8
0 5 A B
How to Divide 1 3 4 2 7 9 8
0 5 A B 1
How to Divide 1 3 4 2 7 9 8
0 5 A B 1
How to Divide 1 3 4 2 7 9 8
0 5 A B 1 3
How to Divide 1 3 4 2 7 9 8
0 5 A B 1 3
How to Divide 1 3 4 2 7 9 8
0 5 A B 1 3 4
How to Divide 1 3 4 2 7 9 8
0 5 A B 1 3 4
How to Divide 1 3 4 2 7 9 8
0 5 A B 1 3 4 1 3 4
How to Divide 1 3 4 2 7 9 8
0 5 A B 1 3 4 1 3 4 2
How to Divide 1 3 4 2 7 9 8
0 5 A B 1 3 4 1 3 4 2
How to Divide 1 3 4 2 7 9 8
0 5 A B 1 3 4 1 3 4 2 7
How to Divide 1 3 4 2 7 9 8
0 5 A B 1 3 4 1 3 4 2 7
How to Divide 1 3 4 2 7 9 8
0 5 A B 1 3 4 1 3 4 2 7 9
How to Divide 1 3 4 2 7 9 8
0 5 A B 1 3 4 1 3 4 2 7 9
How to Divide 1 3 4 2 7 9 8
0 5 A B 1 3 4 1 3 4 2 7 9 2 7 9
How to Divide 1 3 4 2 7 9 8
0 5 A B 1 3 4 1 3 4 2 7 9 2 7 9 8
How to Divide 1 3 4 2 7 9 8
0 5 A B 1 3 4 1 3 4 2 7 9 2 7 9 8
How to Divide 1 3 4 2 7 9 8
0 5 A B 1 3 4 1 3 4 2 7 9 2 7 9 8 8
How to Divide 1 3 4 2 7 9 8
0 5 A B 1 3 4 1 3 4 2 7 9 2 7 9 8 8 0
How to Divide 1 3 4 2 7 9 8
0 5 A B 1 3 4 1 3 4 2 7 9 2 7 9 8 8 0
How to Divide 1 3 4 2 7 9 8
0 5 A B 1 3 4 1 3 4 2 7 9 2 7 9 8 8 0 5
How to Divide 1 3 4 2 7 9 8
0 5 A B 1 3 4 1 3 4 2 7 9 2 7 9 8 8 0 5
How to Divide 1 3 4 2 7 9 8
0 5 A B 1 3 4 1 3 4 2 7 9 2 7 9 8 8 0 5 0 5
The merge operation is as same as traditional merge sort.
End