Insertion Sort Array index Value Insertion sort.

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Presentation transcript:

Insertion Sort 2 3 4 5 1 8 9 6 7 Array index Value Insertion sort. In ith iteration: read ith value repeatedly swap value with the one to its left if it is smaller Property: after ith iteration, array positions 0 through i contain original elements 0 through i in increasing order. 2 3 4 5 1 8 9 Array index 6 7 Value 2.78 7.42 0.56 1.12 1.17 0.32 6.21 4.42 3.14 7.71 Iteration 0: step 0.

Insertion Sort 2 3 4 5 1 8 9 6 7 Array index Value Insertion sort. In ith iteration: read ith value repeatedly swap value with the one to its left if it is smaller Property: after ith iteration, array positions 0 through i contain original elements 0 through i in increasing order. 2 3 4 5 1 8 9 Array index 6 7 Value 2.78 7.42 0.56 1.12 1.17 0.32 6.21 4.42 3.14 7.71 Iteration 1: step 0.

Insertion Sort 2 3 4 5 1 8 9 6 7 Array index Value Insertion sort. In ith iteration: read ith value repeatedly swap value with the one to its left if it is smaller Property: after ith iteration, array positions 0 through i contain original elements 0 through i in increasing order. 2 3 4 5 1 8 9 Array index 6 7 Value 2.78 0.56 7.42 7.42 0.56 1.12 1.17 0.32 6.21 4.42 3.14 7.71 Iteration 2: step 0.

Insertion Sort 2 3 4 5 1 8 9 6 7 Array index Value Insertion sort. In ith iteration: read ith value repeatedly swap value with the one to its left if it is smaller Property: after ith iteration, array positions 0 through i contain original elements 0 through i in increasing order. 2 3 4 5 1 8 9 Array index 6 7 Value 2.78 0.56 2.78 0.56 7.42 1.12 1.17 0.32 6.21 4.42 3.14 7.71 Iteration 2: step 1.

Insertion Sort 2 3 4 5 1 8 9 6 7 Array index Value Insertion sort. In ith iteration: read ith value repeatedly swap value with the one to its left if it is smaller Property: after ith iteration, array positions 0 through i contain original elements 0 through i in increasing order. 2 3 4 5 1 8 9 Array index 6 7 Value 0.56 2.78 7.42 1.12 1.17 0.32 6.21 4.42 3.14 7.71 Iteration 2: step 2.

Insertion Sort 2 3 4 5 1 8 9 6 7 Array index Value Insertion sort. In ith iteration: read ith value repeatedly swap value with the one to its left if it is smaller Property: after ith iteration, array positions 0 through i contain original elements 0 through i in increasing order. 2 3 4 5 1 8 9 Array index 6 7 Value 0.56 2.78 1.12 7.42 7.42 1.12 1.17 0.32 6.21 4.42 3.14 7.71 Iteration 3: step 0.

Insertion Sort 2 3 4 5 1 8 9 6 7 Array index Value Insertion sort. In ith iteration: read ith value repeatedly swap value with the one to its left if it is smaller Property: after ith iteration, array positions 0 through i contain original elements 0 through i in increasing order. 2 3 4 5 1 8 9 Array index 6 7 Value 0.56 2.78 1.12 2.78 1.12 7.42 1.17 0.32 6.21 4.42 3.14 7.71 Iteration 3: step 1.

Insertion Sort 2 3 4 5 1 8 9 6 7 Array index Value Insertion sort. In ith iteration: read ith value repeatedly swap value with the one to its left if it is smaller Property: after ith iteration, array positions 0 through i contain original elements 0 through i in increasing order. 2 3 4 5 1 8 9 Array index 6 7 Value 0.56 1.12 2.78 7.42 1.17 0.32 6.21 4.42 3.14 7.71 Iteration 3: step 2.

Insertion Sort 2 3 4 5 1 8 9 6 7 Array index Value Insertion sort. In ith iteration: read ith value repeatedly swap value with the one to its left if it is smaller Property: after ith iteration, array positions 0 through i contain original elements 0 through i in increasing order. 2 3 4 5 1 8 9 Array index 6 7 Value 0.56 1.12 2.78 1.17 7.42 7.42 1.17 0.32 6.21 4.42 3.14 7.71 Iteration 4: step 0.

Insertion Sort 2 3 4 5 1 8 9 6 7 Array index Value Insertion sort. In ith iteration: read ith value repeatedly swap value with the one to its left if it is smaller Property: after ith iteration, array positions 0 through i contain original elements 0 through i in increasing order. 2 3 4 5 1 8 9 Array index 6 7 Value 0.56 1.12 2.78 1.17 2.78 1.17 7.42 0.32 6.21 4.42 3.14 7.71 Iteration 4: step 1.

Insertion Sort 2 3 4 5 1 8 9 6 7 Array index Value Insertion sort. In ith iteration: read ith value repeatedly swap value with the one to its left if it is smaller Property: after ith iteration, array positions 0 through i contain original elements 0 through i in increasing order. 2 3 4 5 1 8 9 Array index 6 7 Value 0.56 1.12 1.17 2.78 7.42 0.32 6.21 4.42 3.14 7.71 Iteration 4: step 2.

Insertion Sort 2 3 4 5 1 8 9 6 7 Array index Value Insertion sort. In ith iteration: read ith value repeatedly swap value with the one to its left if it is smaller Property: after ith iteration, array positions 0 through i contain original elements 0 through i in increasing order. 2 3 4 5 1 8 9 Array index 6 7 Value 0.56 1.12 1.17 2.78 0.32 7.42 7.42 0.32 6.21 4.42 3.14 7.71 Iteration 5: step 0.

Insertion Sort 2 3 4 5 1 8 9 6 7 Array index Value Insertion sort. In ith iteration: read ith value repeatedly swap value with the one to its left if it is smaller Property: after ith iteration, array positions 0 through i contain original elements 0 through i in increasing order. 2 3 4 5 1 8 9 Array index 6 7 Value 0.56 1.12 1.17 2.78 0.32 2.78 0.32 7.42 6.21 4.42 3.14 7.71 Iteration 5: step 1.

Insertion Sort 2 3 4 5 1 8 9 6 7 Array index Value Insertion sort. In ith iteration: read ith value repeatedly swap value with the one to its left if it is smaller Property: after ith iteration, array positions 0 through i contain original elements 0 through i in increasing order. 2 3 4 5 1 8 9 Array index 6 7 Value 0.56 1.12 0.32 1.17 1.17 0.32 2.78 7.42 6.21 4.42 3.14 7.71 Iteration 5: step 2.

Insertion Sort 2 3 4 5 1 8 9 6 7 Array index Value Insertion sort. In ith iteration: read ith value repeatedly swap value with the one to its left if it is smaller Property: after ith iteration, array positions 0 through i contain original elements 0 through i in increasing order. 2 3 4 5 1 8 9 Array index 6 7 Value 0.56 0.32 1.12 1.12 0.32 1.17 2.78 7.42 6.21 4.42 3.14 7.71 Iteration 5: step 3.

Insertion Sort 2 3 4 5 1 8 9 6 7 Array index Value Insertion sort. In ith iteration: read ith value repeatedly swap value with the one to its left if it is smaller Property: after ith iteration, array positions 0 through i contain original elements 0 through i in increasing order. 2 3 4 5 1 8 9 Array index 6 7 Value 0.32 0.56 0.56 0.32 1.12 1.17 2.78 7.42 6.21 4.42 3.14 7.71 Iteration 5: step 4.

Insertion Sort 2 3 4 5 1 8 9 6 7 Array index Value Insertion sort. In ith iteration: read ith value repeatedly swap value with the one to its left if it is smaller Property: after ith iteration, array positions 0 through i contain original elements 0 through i in increasing order. 2 3 4 5 1 8 9 Array index 6 7 Value 0.32 0.56 1.12 1.17 2.78 7.42 6.21 4.42 3.14 7.71 Iteration 5: step 5.

Insertion Sort 2 3 4 5 1 8 9 6 7 Array index Value Insertion sort. In ith iteration: read ith value repeatedly swap value with the one to its left if it is smaller Property: after ith iteration, array positions 0 through i contain original elements 0 through i in increasing order. 2 3 4 5 1 8 9 Array index 6 7 Value 0.32 0.56 1.12 1.17 2.78 6.21 7.42 7.42 6.21 4.42 3.14 7.71 Iteration 6: step 0.

Insertion Sort 2 3 4 5 1 8 9 6 7 Array index Value Insertion sort. In ith iteration: read ith value repeatedly swap value with the one to its left if it is smaller Property: after ith iteration, array positions 0 through i contain original elements 0 through i in increasing order. 2 3 4 5 1 8 9 Array index 6 7 Value 0.32 0.56 1.12 1.17 2.78 6.21 7.42 4.42 3.14 7.71 Iteration 6: step 1.

Insertion Sort 2 3 4 5 1 8 9 6 7 Array index Value Insertion sort. In ith iteration: read ith value repeatedly swap value with the one to its left if it is smaller Property: after ith iteration, array positions 0 through i contain original elements 0 through i in increasing order. 2 3 4 5 1 8 9 Array index 6 7 Value 0.32 0.56 1.12 1.17 2.78 6.21 4.42 7.42 7.42 4.42 3.14 7.71 Iteration 7: step 0.

Insertion Sort 2 3 4 5 1 8 9 6 7 Array index Value Insertion sort. In ith iteration: read ith value repeatedly swap value with the one to its left if it is smaller Property: after ith iteration, array positions 0 through i contain original elements 0 through i in increasing order. 2 3 4 5 1 8 9 Array index 6 7 Value 0.32 0.56 1.12 1.17 2.78 6.21 4.42 6.21 4.42 7.42 3.14 7.71 Iteration 7: step 1.

Insertion Sort 2 3 4 5 1 8 9 6 7 Array index Value Insertion sort. In ith iteration: read ith value repeatedly swap value with the one to its left if it is smaller Property: after ith iteration, array positions 0 through i contain original elements 0 through i in increasing order. 2 3 4 5 1 8 9 Array index 6 7 Value 0.32 0.56 1.12 1.17 2.78 4.42 6.21 7.42 3.14 7.71 Iteration 7: step 2.

Insertion Sort 2 3 4 5 1 8 9 6 7 Array index Value Insertion sort. In ith iteration: read ith value repeatedly swap value with the one to its left if it is smaller Property: after ith iteration, array positions 0 through i contain original elements 0 through i in increasing order. 2 3 4 5 1 8 9 Array index 6 7 Value 0.32 0.56 1.12 1.17 2.78 4.42 6.21 3.14 7.42 7.42 3.14 7.71 Iteration 8: step 0.

Insertion Sort 2 3 4 5 1 8 9 6 7 Array index Value Insertion sort. In ith iteration: read ith value repeatedly swap value with the one to its left if it is smaller Property: after ith iteration, array positions 0 through i contain original elements 0 through i in increasing order. 2 3 4 5 1 8 9 Array index 6 7 Value 0.32 0.56 1.12 1.17 2.78 4.42 6.21 3.14 6.21 3.14 7.42 7.71 Iteration 8: step 1.

Insertion Sort 2 3 4 5 1 8 9 6 7 Array index Value Insertion sort. In ith iteration: read ith value repeatedly swap value with the one to its left if it is smaller Property: after ith iteration, array positions 0 through i contain original elements 0 through i in increasing order. 2 3 4 5 1 8 9 Array index 6 7 Value 0.32 0.56 1.12 1.17 2.78 4.42 3.14 4.42 3.14 6.21 7.42 7.71 Iteration 8: step 2.

Insertion Sort 2 3 4 5 1 8 9 6 7 Array index Value Insertion sort. In ith iteration: read ith value repeatedly swap value with the one to its left if it is smaller Property: after ith iteration, array positions 0 through i contain original elements 0 through i in increasing order. 2 3 4 5 1 8 9 Array index 6 7 Value 0.32 0.56 1.12 1.17 2.78 3.14 4.42 6.21 7.42 7.71 Iteration 8: step 3.

Insertion Sort 2 3 4 5 1 8 9 6 7 Array index Value Insertion sort. In ith iteration: read ith value repeatedly swap value with the one to its left if it is smaller Property: after ith iteration, array positions 0 through i contain original elements 0 through i in increasing order. 2 3 4 5 1 8 9 Array index 6 7 Value 0.32 0.56 1.12 1.17 2.78 3.14 4.42 6.21 7.42 7.71 Iteration 9: step 0.

Insertion Sort 2 3 4 5 1 8 9 6 7 Array index Value Insertion sort. In ith iteration: read ith value repeatedly swap value with the one to its left if it is smaller Property: after ith iteration, array positions 0 through i contain original elements 0 through i in increasing order. 2 3 4 5 1 8 9 Array index 6 7 Value 0.32 0.56 1.12 1.17 2.78 3.14 4.42 6.21 7.42 7.71 Iteration 10: DONE.