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KuoE0
March 15, 2013
Programming
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10k
Quick Sort
KuoE0
March 15, 2013
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Transcript
Quick Sort ֲࢸݢʢKuoE0ʣ
[email protected]
KuoE0.ch
Latest update: Mar 15, 2013 Attribution-ShareAlike 3.0 Unported (CC BY-SA
3.0) http://creativecommons.org/licenses/by-sa/3.0/
Algorithm ࠾༻ divide & conquer ࡦུ
Divide ኺᏐྻதग़Ұݸݩૉ࡞ҝ pivotɼར ༻ pivot ሡݪᏐྻҝၷݸࢠᏐྻɿ • ॴ༗ݩૉখԙ pivot తᏐྻ
A • ॴ༗ݩૉେԙ pivot తݩૉతᏐྻ B • ԙ pivot తݩૉՄ์ஔࡏҰݸத
2 9 4 3 8 7 5 1 6
2 9 4 3 8 7 5 1 6 2
7 4 3 5 1 6 9 8
9 8 2 4 3 5 1 6 2 9
4 3 8 7 5 1 6 2 7 4 3 5 1 6 9 8
9 8 2 4 3 5 1 6 2 4
5 1 6 2 9 4 3 8 7 5 1 6 2 7 4 3 5 1 6 9 8 3
4 5 6 2 1 9 8 2 4 3
5 1 6 2 4 5 1 6 2 9 4 3 8 7 5 1 6 2 7 4 3 5 1 6 9 8 3
4 5 6 2 1 2 9 8 2 4
3 5 1 6 2 4 5 1 6 2 9 4 3 8 7 5 1 6 2 7 4 3 5 1 6 9 8 3 1
4 5 6 2 1 2 9 8 2 4
3 5 1 6 2 4 5 1 6 2 9 4 3 8 7 5 1 6 2 2 7 4 3 5 1 6 9 8 3 1
4 5 6 5 6 2 1 2 9 8
2 4 3 5 1 6 2 4 5 1 6 2 9 4 3 8 7 5 1 6 2 2 7 4 3 5 1 6 9 8 3 1 4
5 6 4 5 6 5 6 2 1 2
9 8 2 4 3 5 1 6 2 4 5 1 6 2 9 4 3 8 7 5 1 6 2 2 7 4 3 5 1 6 9 8 3 1 4
5 6 5 4 5 6 5 6 2 1
2 9 8 2 4 3 5 1 6 2 4 5 1 6 2 9 4 3 8 7 5 1 6 2 2 7 4 3 5 1 6 9 8 3 1 4 6
5 6 5 4 5 6 5 6 2 1
2 9 8 2 4 3 5 1 6 2 4 5 1 6 2 9 4 3 8 7 5 1 6 2 5 2 7 4 3 5 1 6 9 8 3 1 4 6
5 6 5 4 5 6 5 6 2 1
2 9 8 9 2 4 3 5 1 6 2 4 5 1 6 2 9 4 3 8 7 5 1 6 2 5 2 7 4 3 5 1 6 9 8 3 1 4 6 8
5 6 5 4 5 6 5 6 2 1
2 9 8 9 2 4 3 5 1 6 2 4 5 1 6 2 9 4 3 8 7 5 1 6 9 2 5 2 7 4 3 5 1 6 9 8 3 1 4 6 8
Conquer ༝ԙࢠᏐྻቮඃ pivot ҝၷஈɼҰஈ খԙԙ pivot తᏐྻ Aɼ㠥Ұஈେԙ ԙ pivot
తᏐྻ Bɻ
Conquer ༝ԙࢠᏐྻቮඃ pivot ҝၷஈɼҰஈ খԙԙ pivot తᏐྻ Aɼ㠥Ұஈେԙ ԙ pivot
తᏐྻ Bɻ A B C
2 2
2 2 1
2 2 1
1 2 1 2 2 5 2 5 1 6
1 2 1 2 2 5 2 5 1 6
5 6 1 2 1 2 5 6 2 5
2 5 1 6 4
5 6 1 2 1 2 5 6 2 5
2 5 1 6 4
4 5 6 5 6 1 2 1 2 4
5 6 5 6 2 5 2 5 1 6 4 3
4 5 6 5 6 1 2 1 2 4
5 6 5 6 2 5 2 5 1 6 4 3
1 2 3 4 5 6 4 5 6 5
6 1 2 1 2 4 5 6 5 6 1 2 3 4 5 6 9 2 5 2 5 9 1 6 4 3 8
1 2 3 4 5 6 4 5 6 5
6 1 2 1 2 4 5 6 5 6 1 2 3 4 5 6 9 2 5 2 5 9 1 6 4 3 8
8 9 1 2 3 4 5 6 8 9
4 5 6 5 6 1 2 1 2 4 5 6 5 6 1 2 3 4 5 6 9 2 5 2 5 9 7 1 6 4 3 8
8 9 1 2 3 4 5 6 8 9
4 5 6 5 6 1 2 1 2 4 5 6 5 6 1 2 3 4 5 6 9 2 5 2 5 9 7 1 6 4 3 8
8 9 1 2 3 4 5 6 8 9
4 5 6 5 6 1 2 1 2 4 5 6 5 6 1 2 3 4 5 6 1 2 3 4 5 6 7 8 9 9 2 5 2 5 9 7 1 6 4 3 8
9 3 How to Divide 4 1 5 8 6
7 2
9 3 How to Divide 4 1 5 8 6
4 7 2
9 3 How to Divide 4 1 5 8 6
4 7 2
9 3 How to Divide 4 1 5 8 6
4 7 2
9 3 How to Divide 4 1 5 8 6
4 7 2
9 3 How to Divide 4 1 5 8 6
4 7 2
9 3 How to Divide 4 1 5 8 6
4 7 2
9 3 How to Divide 4 1 5 8 6
4 7 2
9 3 How to Divide 4 1 5 8 6
4 7 2
9 3 How to Divide 4 1 5 8 6
4 7 2
9 3 How to Divide 4 1 5 8 6
4 7 2 4 1 3 2 5 8 7 9 6
5 6 7 8 9 3 2 1 4 How
to Conquer
5 6 7 8 9 3 2 1 4 How
to Conquer
5 6 7 8 9 3 2 1 4 How
to Conquer
5 6 7 8 9 3 2 1 4 How
to Conquer
void quickSort( int L, int R ) { if (
R - L <= 1 ) return; int pivot = N[ R - 1 ], p = L; for ( int i = L; i < R - 1; ++i ) { if ( N[ i ] <= pivot ) { swap( N[ i ], N[ p ] ); ++p; } } swap( N[ R - 1 ], N[ p ] ); quickSort( L, p ); quickSort( p + 1, R ); } In-place Version
9 4 3 6 5 1 8 7 How to
Divide 2
9 4 3 6 5 1 8 7 How to
Divide 2 6
9 4 3 6 5 1 8 7 How to
Divide 2 2 6
9 4 3 6 5 1 8 7 How to
Divide 2 2 6
9 4 3 6 5 1 8 7 How to
Divide 2 2 2 6
9 9 4 3 6 5 1 8 7 How
to Divide 2 2 2 6
9 9 4 4 3 6 5 1 8 7
How to Divide 2 2 2 9 6
9 9 4 4 3 6 5 1 8 7
How to Divide 2 2 2 9 6
9 9 4 4 3 6 5 1 8 7
How to Divide 2 2 2 9 4 6
9 9 4 4 3 3 6 5 1 8
7 How to Divide 2 2 2 9 4 6
9 9 4 4 3 3 6 5 1 8
7 How to Divide 2 2 2 9 4 6
9 9 4 4 3 3 6 5 1 8
7 How to Divide 2 2 2 9 4 3 6
9 9 4 4 3 3 6 5 1 8
7 8 How to Divide 2 2 2 9 4 3 6
9 9 4 4 3 3 6 5 1 8
7 8 8 How to Divide 2 2 2 9 4 3 6
9 9 4 4 3 3 6 5 1 8
7 8 7 8 How to Divide 2 2 2 9 4 3 6
9 9 4 4 3 3 6 5 1 8
7 8 7 8 7 How to Divide 2 2 2 9 4 3 6
9 9 4 4 3 3 6 5 1 5
8 7 8 7 8 7 How to Divide 2 2 2 9 4 3 6
9 9 4 4 3 3 6 5 1 5
8 7 8 7 8 7 How to Divide 2 2 2 9 4 3 6
9 9 4 4 3 3 6 5 1 5
8 7 8 7 8 7 How to Divide 2 2 2 5 9 4 3 6
9 9 4 4 3 3 6 5 1 5
8 7 8 7 8 7 How to Divide 2 2 2 5 9 4 3 1 6
9 9 4 4 3 3 6 5 1 5
8 7 8 7 8 7 How to Divide 2 2 2 5 9 4 3 1 6
9 9 4 4 3 3 6 5 1 5
8 7 8 7 8 7 How to Divide 2 2 2 5 9 4 3 1 1 6
9 9 4 4 3 3 6 5 1 5
8 7 8 7 8 7 How to Divide 2 2 2 5 9 4 3 1 1 6
9 9 4 4 3 3 6 5 1 5
8 7 8 7 8 7 How to Divide 2 2 2 5 9 4 3 1 1 6 2 5 4 3 1 8 9 7
6 How to Conquer 1 4 2 3 5 8
7 9 1 4 2 3 5 8 7 9
6 How to Conquer 1 4 2 3 5 8
7 9 1 4 2 3 5 8 7 9
End