Question: Assume you have two algorithms, A and B, which perform the same function even though their implementations differ. Algorithm A has a running time of

Assume you have two algorithms, A and B, which perform the same function even though their implementations differ.

Algorithm A has a running time of O2n2+21n+127.

Algorithm B has a running time of O(n2+51n+71).

Answers may be in the form of an inequality if necessary.

  1. What values of n will make algorithm A more efficient than algorithm B? (A < B)
  2. What values of n will make algorithm A less efficient than algorithm B? (A > B)
  3. What values of n will make algorithm A operate with the same time efficiency as algorithm B? (A = B)

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