Write a recurrence relation describing the worst case running time of each of the following algorithms...
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Write a recurrence relation describing the worst case running time of each of the following algorithms and determine the asymptotic complexity of the function defined by the recurrence relation. Justify your solution using either expansion, a recursion tree or substitution method. You may NOT use the Master theorem. Assume that all arithmetic operations take constant time. Simplify and express your answer as O(n) or (n* (log n)) wherever possible. If the algorithm takes exponential time, then just give exponential lower bounds. 11. Func11(A, n) /* A = array of n integers 1 if n < 20 then 2 3 4 5 x < 0; for i 1 to n do |x + x + A[i]; end return (r); 6 7 end 8 for 1 to 3 do 9 10 11 12 13 end 14 return (r); Func11(A, [n/3]); for j2n to 2n + 10 do |x + x + A[i]; end Write a recurrence relation describing the worst case running time of each of the following algorithms and determine the asymptotic complexity of the function defined by the recurrence relation. Justify your solution using either expansion, a recursion tree or substitution method. You may NOT use the Master theorem. Assume that all arithmetic operations take constant time. Simplify and express your answer as O(n) or (n* (log n)) wherever possible. If the algorithm takes exponential time, then just give exponential lower bounds. 11. Func11(A, n) /* A = array of n integers 1 if n < 20 then 2 3 4 5 x < 0; for i 1 to n do |x + x + A[i]; end return (r); 6 7 end 8 for 1 to 3 do 9 10 11 12 13 end 14 return (r); Func11(A, [n/3]); for j2n to 2n + 10 do |x + x + A[i]; end
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Related Book For
Introduction to Algorithms
ISBN: 978-0262033848
3rd edition
Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest
Posted Date:
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