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Write a program to randomly generate the following sets of data: 1. 10 numbers 2. 1,000 numbers 3. 100,000 numbers 4. 1,000,000 numbers 5. 10,000,000

Write a program to randomly generate the following sets of data:

1. 10 numbers

2. 1,000 numbers

3. 100,000 numbers

4. 1,000,000 numbers

5. 10,000,000 numbers

Your program must sort the above sets of numbers using the following algorithms: a) Insertion Sort b) Merge Sort c) Heap Sort

Print out the time each algorithm takes to sort the above numbers. Your program needs to produce the following output:

Insertion Sort:

1. 10 numbers: Data Generated: Sorted Data: Time:

2. 1,000 numbers, time:

3. 100,000 numbers, time:

4. 1,000,000 numbers, time:

5. 10,000,000 numbers, time:

Merge Sort: 1. 10 numbers:

Data Generated: Sorted Data: Time:

2. 1,000 numbers, time:

3. 100,000 numbers, time:

4. 1,000,000 numbers, time:

5. 10,000,000 numbers, time:

Heap Sort: 1. 10 numbers:

Data Generated: Sorted Data: Time:

2. 1,000 numbers, time:

3. 100,000 numbers, time:

4. 1,000,000 numbers, time:

5. 10,000,000 numbers, time:

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