Exercises 4—5 explore the fact that for relatively small values of n, algorithms with larger orders can be more efficient than algorithms with smaller orders.
5. Suppose that when run with an input of size n, algorithm A requires operations and algorithm B requires operations.
a. What are orders for algorithms A and B from among the set of power functions?
b. For what values of n is algorithm A more efficient than algorithm B? c. For what values of n is algorithm B at least 100 times more efficient than algorithm A?
What are orders for algorithms from among the set of power functions?
Algorithm requires and algorithm requires operation.
The order of algorithm is the power of variable.
Algorithm has the order of (since algorithm requires
For what values of is algorithm more efficient than algorithm ?
For what values of is algorithm at least times more efficient than algorithm ?
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