The objective of this algorithm is to sort 100 numbers in the range of 500-600 using the Push_swappa method. It employs a divide and conquer approach, creating a V shape pattern with a sequence of "Big Medium Small Medium Big." The algorithm ensures an ascending order for stack A while maintaining the desired pattern and pushing any larger numbers to stack B.
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Divide and Conquer
- Split the numbers into chunks.
- Half of each chunk goes to stack B.
- The other half is further divided into "pb" and "rb" segments.
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Increment Chunk Size
- Increase the chunk size by (3/4) of the previous chunk.
- Each chunk will contain approximately 15 numbers.
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Repeat the Process
- Continue the process until the chunk size reaches a minimum of 93.
- Generate random results between the segments.
- Example: "(21-28) (1-10)" (TOP B) and "(11-20) (29-35)" (BOTTOM B).
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Ascending Order in Stack A
- If the head of stack A is 100, start the ascending order.
- Push the numbers in ascending order while maintaining the pattern.
- Example: 100 88 86 82 83 89 90 99 becomes 100 88 89 80 99.
- Numbers larger than the tail of stack A are pushed using "rb" or "rrb" operations.
To use this algorithm, follow these steps:
- Prepare a stack A with 100 numbers in the range of 500-600.
- Ensure that 100 is at the head of stack A.
- Execute the Push_swappa algorithm, adhering to the steps mentioned above.
- Verify the output stacks A and B for the sorted numbers.
Feel free to contribute to this algorithm and improve its efficiency!