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Presentation transcript:

40 20 10 80 60 50 7 30 100

Pick Pivot Element Select first element in the array as pivot element 40 20 10 80 60 50 7 30 100

40 20 10 80 60 50 7 30 100 [0] [1] [2] [3] [4] [5] [6] [7] [8] s = 0 i [0] [1] [2] [3] [4] [5] [6] [7] [8] i j

While data[i] <= data[pivot] ++i 40 20 10 80 60 50 7 30 100 s = 0 [0] [1] [2] [3] [4] [5] [6] [7] [8] i j

While data[i] <= data[pivot] ++i 40 20 10 80 60 50 7 30 100 s = 0 [0] [1] [2] [3] [4] [5] [6] [7] [8] i j

While data[i] <= data[pivot] ++i 40 20 10 80 60 50 7 30 100 s = 0 [0] [1] [2] [3] [4] [5] [6] [7] [8] i j

While data[i] <= data[pivot] ++i While data[j] > data[pivot] --j 40 20 10 80 60 50 7 30 100 s = 0 [0] [1] [2] [3] [4] [5] [6] [7] [8] i j

While data[i] <= data[pivot] ++i While data[j] > data[pivot] --j 40 20 10 80 60 50 7 30 100 s = 0 [0] [1] [2] [3] [4] [5] [6] [7] [8] i j

While data[i] <= data[pivot] ++i While data[j] > data[pivot] --j If i < j swap data[i] and data[j] 40 20 10 80 60 50 7 30 100 s = 0 [0] [1] [2] [3] [4] [5] [6] [7] [8] i j

While data[i] <= data[pivot] ++i While data[j] > data[pivot] --j If i < j swap data[i] and data[j] 40 20 10 30 60 50 7 80 100 s = 0 [0] [1] [2] [3] [4] [5] [6] [7] [8] i j

While data[i] <= data[pivot] ++i While data[j] > data[pivot] --j If i < j swap data[i] and data[j] While j > i, go to 1. 40 20 10 30 60 50 7 80 100 s = 0 [0] [1] [2] [3] [4] [5] [6] [7] [8] i j

While data[i] <= data[pivot] ++i While data[j] > data[pivot] --j If i < j swap data[i] and data[j] While j > i, go to 1. 40 20 10 30 60 50 7 80 100 s = 0 [0] [1] [2] [3] [4] [5] [6] [7] [8] i j

While data[i] <= data[pivot] ++i While data[j] > data[pivot] --j If i < j swap data[i] and data[j] While j > i, go to 1. 40 20 10 30 60 50 7 80 100 s = 0 [0] [1] [2] [3] [4] [5] [6] [7] [8] i j

While data[i] <= data[pivot] ++i While data[j] > data[pivot] --j If i < j swap data[i] and data[j] While j > i, go to 1. 40 20 10 30 60 50 7 80 100 s = 0 [0] [1] [2] [3] [4] [5] [6] [7] [8] i j

While data[i] <= data[pivot] ++i While data[j] > data[pivot] --j If i < j swap data[i] and data[j] While j > i, go to 1. 40 20 10 30 60 50 7 80 100 s = 0 [0] [1] [2] [3] [4] [5] [6] [7] [8] i j

While data[i] <= data[pivot] ++i While data[j] > data[pivot] --j If i < j swap data[i] and data[j] While j > i, go to 1. 40 20 10 30 60 50 7 80 100 s = 0 [0] [1] [2] [3] [4] [5] [6] [7] [8] i j

While data[i] <= data[pivot] ++i While data[j] > data[pivot] --j If i < j swap data[i] and data[j] While j > i, go to 1. 40 20 10 30 7 50 60 80 100 s = 0 [0] [1] [2] [3] [4] [5] [6] [7] [8] i j

While data[i] <= data[pivot] ++i While data[j] > data[pivot] --j If i < j swap data[i] and data[j] While j > i, go to 1. 40 20 10 30 7 50 60 80 100 s = 0 [0] [1] [2] [3] [4] [5] [6] [7] [8] i j

While data[i] <= data[pivot] ++i While data[j] > data[pivot] --j If i < j swap data[i] and data[j] While j > i, go to 1. 40 20 10 30 7 50 60 80 100 s = 0 [0] [1] [2] [3] [4] [5] [6] [7] [8] i j

While data[i] <= data[pivot] ++i While data[j] > data[pivot] --j If i < j swap data[i] and data[j] While j > i, go to 1. 40 20 10 30 7 50 60 80 100 s = 0 [0] [1] [2] [3] [4] [5] [6] [7] [8] i j

While data[i] <= data[pivot] ++i While data[j] > data[pivot] --j If i < j swap data[i] and data[j] While j > i, go to 1. 40 20 10 30 7 50 60 80 100 s = 0 [0] [1] [2] [3] [4] [5] [6] [7] [8] i j

While data[i] <= data[pivot] ++i While data[j] > data[pivot] --j If i < j swap data[i] and data[j] While j > i, go to 1. 40 20 10 30 7 50 60 80 100 s = 0 [0] [1] [2] [3] [4] [5] [6] [7] [8] i j

While data[i] <= data[pivot] ++i While data[j] > data[pivot] --j If i < j swap data[i] and data[j] While j > i, go to 1. 40 20 10 30 7 50 60 80 100 s = 0 [0] [1] [2] [3] [4] [5] [6] [7] [8] i j

While data[i] <= data[pivot] ++i While data[j] > data[pivot] --j If i < j swap data[i] and data[j] While j > i, go to 1. 40 20 10 30 7 50 60 80 100 s = 0 [0] [1] [2] [3] [4] [5] [6] [7] [8] i j

While data[i] <= data[pivot] ++i While data[j] > data[pivot] --j If i < j swap data[i] and data[j] While j > i, go to 1. 40 20 10 30 7 50 60 80 100 s = 0 [0] [1] [2] [3] [4] [5] [6] [7] [8] i j

While data[i] <= data[pivot] ++i While data[j] > data[pivot] --j If i < j swap data[i] and data[j] While j > i, go to 1. Swap data[j] and data[s] 40 20 10 30 7 50 60 80 100 s = 0 [0] [1] [2] [3] [4] [5] [6] [7] [8] i j

While data[i] <= data[pivot] ++i While data[j] > data[pivot] --j If i < j swap data[i] and data[j] While j > i, go to 1. Swap data[j] and data[s] 7 20 10 30 40 50 60 80 100 s = 4 [0] [1] [2] [3] [4] [5] [6] [7] [8] i j

Partition Result 7 20 10 30 40 50 60 80 100 [0] [1] [2] [3] [4] [5] [6] [7] [8] <= data[pivot] > data[pivot]

Recursion: Quicksort Sub-arrays 7 20 10 30 40 50 60 80 100 [0] [1] [2] [3] [4] [5] [6] [7] [8] <= data[pivot] > data[pivot]