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"Bubbling Up" the Largest Element Traverse a collection of elements Move from the front to the end “Bubble” the largest value to the end using pair-wise comparisons and swapping 1 2 3 4 5 6 77 42 35 12 101 5

Sorting Sorting takes an unordered collection and makes it an ordered one. 77 42 35 12 101 5 5 12 35 42 77 101

"Bubbling Up" the Largest Element Traverse a collection of elements Move from the front to the end “Bubble” the largest value to the end using pair-wise comparisons and swapping Swap 42 77 77 42 35 12 101 5

"Bubbling Up" the Largest Element Traverse a collection of elements Move from the front to the end “Bubble” the largest value to the end using pair-wise comparisons and swapping Swap 35 77 42 77 35 12 101 5

"Bubbling Up" the Largest Element Traverse a collection of elements Move from the front to the end “Bubble” the largest value to the end using pair-wise comparisons and swapping Swap 12 77 42 35 77 12 101 5

"Bubbling Up" the Largest Element Traverse a collection of elements Move from the front to the end “Bubble” the largest value to the end using pair-wise comparisons and swapping Swap 5 101 42 35 12 77 101 5

"Bubbling Up" the Largest Element Traverse a collection of elements Move from the front to the end “Bubble” the largest value to the end using pair-wise comparisons and swapping 101 42 35 12 77 5 Largest value correctly placed

“Bubbling” All the Elements 77 12 35 42 5 1 2 3 4 5 6 101 N - 1 5 42 12 35 77 1 2 3 4 5 6 101 42 5 35 12 77 1 2 3 4 5 6 101 42 35 5 12 77 1 2 3 4 5 6 101 42 35 12 5 77 1 2 3 4 5 6 101

Reducing the Number of Comparisons 12 35 42 77 101 1 2 3 4 5 6 5 77 12 35 42 5 1 2 3 4 5 6 101 5 42 12 35 77 1 2 3 4 5 6 101 42 5 35 12 77 1 2 3 4 5 6 101 42 35 5 12 77 1 2 3 4 5 6 101

Algorithm For more detail contact us Start Set i=1 Set j=0 If (a[j] > a[j+1] ) Swap a[j] and a[j+1] J=j+1 If (j< (n-i)), go to step 4 i=i+1 If (i<n) ,go to step 3 Stop For more detail contact us