Question & Answer: Textbook: Introduction to Algorithms (3rd edition) by T. Cormen, C. Leiserson, R. Rivest and C. Stein, MIT Press, 2009…..

Textbook: Introduction to Algorithms (3rd edition) by T. Cormen, C. Leiserson, R. Rivest and C. Stein, MIT Press, 2009

Show all work (if necessary).

2. Fill the following blanks with the notations O, o, Ω, w, or Θ. Use o if both O and o are applicable. Use w if both Ω and w are applicable. Use Θ if both Ω and O are applicable. To distinguish O and o, write big-O for O (2 log n) (n2) (2n) a) n= b) 0.2n_ c) 2n= d) 2n log n = (n6) Solution. Your solution here.

2. Fill the following blanks with the notations O, o, Ω, w, or Θ. Use o if both O and o are applicable. Use w if both Ω and w are applicable. Use Θ if both Ω and O are applicable. To distinguish O and o, write “big-O” for O (2 log n) (n2) (2n) a) n= b) 0.2n_ c) 2n= d) 2n log n = (n6) Solution. Your solution here.

Expert Answer

 

a) n = theta(2n) — both Omega,O are correct

b) 0.2n = omega(2 logn) —both Omega , omega are correct

c)2^{^{n}} = omega(n^{^{6}})   — both Omega , omega are correct

d)2nlogn = o(n^{2})) —both O and o are correct

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