If the components being searched have non-uniform access memory storage (i. e., the time needed to access a storage location vary depending on the location accessed), the Fibonacci search may have the advantage over binary search in slightly reduce the average time needed to access a storage location. On average, this leads to about 4 % more comparisons to be executed, but it has the advantage that one only needs addition and subtraction to calculate the index of the accessed array components, while classical binary search needs bit-shift, division or multiplication, operations that were less common at the time Fibonacci search was first published.

If the item is less than entry Fk−1, discard the components from positions Fk−1 + 1 to n.(throughout the algorithm, p and q will be consecutive Fibonacci numbers)

```
#include <stdio.h>
#include <stdlib.h>
int fibMonaccianSearch(int arr[], int x, int n)
{
/* Initialize fibonacci numbers */
int fibMMm2 = 0; // (m-2)'th Fibonacci No.
int fibMMm1 = 1; // (m-1)'th Fibonacci No.
int fibM = fibMMm2 + fibMMm1; // m'th Fibonacci
/* fibM is going to store the smallest Fibonacci
Number greater than or equal to n */
while (fibM < n)
{
fibMMm2 = fibMMm1;
fibMMm1 = fibM;
fibM = fibMMm2 + fibMMm1;
}
// Marks the eliminated range from front
int offset = -1;
/* while there are elements to be inspected. Note that
we compare arr[fibMm2] with x. When fibM becomes 1,
fibMm2 becomes 0 */
while (fibM > 1)
{
// Check if fibMm2 is a valid location
// sets i to the min. of (offset+fibMMm2) and (n-1)
int i = ((offset+fibMMm2) < (n-1)) ? (offset+fibMMm2) : (n-1);
/* If x is greater than the value at index fibMm2,
cut the subarray array from offset to i */
if (arr[i] < x)
{
fibM = fibMMm1;
fibMMm1 = fibMMm2;
fibMMm2 = fibM - fibMMm1;
offset = i;
}
/* If x is greater than the value at index fibMm2,
cut the subarray after i+1 */
else if (arr[i] > x)
{
fibM = fibMMm2;
fibMMm1 = fibMMm1 - fibMMm2;
fibMMm2 = fibM - fibMMm1;
}
/* element found. return index */
else return i;
}
/* comparing the last element with x */
if(fibMMm1 && arr[offset+1]==x)return offset+1;
/*element not found. return -1 */
return -1;
}
int main(void)
{
int arr[] = {10, 22, 35, 40, 45, 50, 80, 82,
85, 90, 100};
int n = sizeof(arr)/sizeof(arr[0]);
int x = 85;
printf("Found at index: %d",
fibMonaccianSearch(arr, x, n));
return 0;
}
```