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Consider the recurrence relation:
T(n) = 16T(n/4)+n!
Above recurrence relation represents the running time of an algorithm. Which of the following represents the time complexity of the algorithm?
  • a)
    θ (n)
  • b)
    θ (log n)
  • c)
    θ (n log n)
  • d)
    θ (n!)
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Consider the recurrence relation:T(n) = 16T(n/4)+n!Above recurrence re...
On comparing with equation 

 
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Consider the recurrence relation:T(n) = 16T(n/4)+n!Above recurrence re...
O(n^4 log n)
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Consider the recurrence relation:T(n) = 16T(n/4)+n!Above recurrence relation represents the running time of an algorithm. Which of the following represents the time complexity of the algorithm?a)θ (n)b)θ (log n)c)θ (n log n)d)θ (n!)Correct answer is option 'D'. Can you explain this answer?
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