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Solve the matrix chain problem for matrices with sizes (5x5), (2x5), (7x2), (8x7) write a variant algorithm for QuickSort

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1. Solve the matrix chain problem for matrices with sizes (5x5), (2x5), (7x2), (8x7)   

2. Write a variant algorithm for QuickSort which applies insertion sort if the array size is up to 16. Solve for suitable instance. Also, derive its average-case time complexity

3. Explain the benefit and limitations of dynamic programming over greedy programming showing trace of both for the suitable problem and comparing time complexities

 

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