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The time complexity of the following C function is, (assume n> 0)
int recursive (int n )
{ if ( n = = 1)
return (1);
else
return (recursive ( n - 1) + recursive ( n - 1));
}
  • a)
    O(n)
  • b)
    O(n log n)
  • c)
    0(n2)
  • d)
    O(2n)
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The time complexity of the following C function is, (assume n> 0)in...
T(n) = T ( n - 1) + T ( n - 1)+1
[recursive (n - 1) = T( n - 1)]
= 2T( n - 1)+1 = O(2n [using substitution method]
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