What is the time complexity of the below function?
C
void fun( int n, int arr[])
{
int i = 0, j = 0;
for (; i < n; ++i)
while (j < n && arr[i] < arr[j])
j++;
}
|
(A)
O(n)
(B)
O(n2)
(C)
O(n*log(n))
(D)
O(n*log(n)2)
Answer: (A)
Explanation:
At first look, the time complexity seems to be O(n2) due to two loops. But, please note that the variable j is not initialized for each value of variable i. So, the inner loop runs at most n times. Please observe the difference between the function given in the question and the below function:
C
void fun( int n, int arr[])
{
int i = 0, j = 0;
for (; i < n; ++i) {
j = 0;
while (j < n && arr[i] < arr[j])
j++;
}
}
|
Quiz of this Question
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Last Updated :
12 Feb, 2013
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