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CSC 391
Polynomials in running time
Desirable scaling property.
When the input size doubles, the algorithm should only slow
down by some constant factor C.
We say that an algorithm is efficient if has a polynomial
running time.
Cost of basic operations
Observation. Most primitive operations take constant time
Factors affecting running time
** The difference between Big O notation
and Big Omega notation is that Big O is
used to describe the worst case running
time for an algorithm. But,
Big Omega notation, on the other hand, is
used to describe the best case running time
for a given algorithm.
Big-Theta notation
Algo analysis

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Algo analysis

  • 2. Polynomials in running time Desirable scaling property. When the input size doubles, the algorithm should only slow down by some constant factor C. We say that an algorithm is efficient if has a polynomial running time.
  • 3. Cost of basic operations Observation. Most primitive operations take constant time
  • 4.
  • 5.
  • 6.
  • 7.
  • 8.
  • 10.
  • 11.
  • 12.
  • 13.
  • 14.
  • 15.
  • 16.
  • 17.
  • 18.
  • 19. ** The difference between Big O notation and Big Omega notation is that Big O is used to describe the worst case running time for an algorithm. But, Big Omega notation, on the other hand, is used to describe the best case running time for a given algorithm.