DSA/algorithms/C/searching/Jump-search.c

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/*
Program to search data in array using Jump Search
Jump Search: It is a way to search data in array where it jump sqrt(n-1) and if data is less
than current then it started searching it linearly
*/
#include<stdio.h>
#include<math.h>
#include<stdlib.h>
//Function to search data linearly
int jump_search(int *arr,int n,int jump,int to_search)
{
int start=0,end=jump;
//until n(size) is greater than end run the loop
while(end<n)
{
//if the data to search is greater than the end of arr then assign end to start and end+jump in end
if(arr[end]<to_search)
{
start=end;
end=end+jump;
}
// else means the data is less then or equal to the data to search
else
{
//search linearly until end is greater or equal to start
while(start<=end)
{
//if the data is found then return that data index else add 1 in start and repeat the loop
if(arr[start]==to_search)
return start;
start++;
}
}
}
//if data not found then return -1 will tells that data didn't exist
return -1;
}
//driver code
int main()
{
int n,*arr,jump,i,to_search,res;
printf("Enter size: ");
//taking the size of array
scanf("%d",&n);
//dynamically allocating memory and returning the base address and assign it to arr
arr=(int*)malloc(sizeof(int)*n);
for(i=0;i<n;i++)
{
scanf("%d",&arr[i]);
}
//find the number of jumps to take every time
jump=(int)sqrt(n-1);
printf("Enter the number to search: ");
//taking the data to search
scanf("%d",&to_search);
//calling jump function
res=jump_search(arr,n,jump,to_search);
// if res is equal to -1 that means data didn't exist
if(res==-1)
printf("Data Not Found \n");
else
printf("Data Found at index: %d",res);
return 0;
}
/*
Case 1:
Input: Enter size: 10
1,2,3,4,5,6,7,8,9,10
Enter the data to search: 11
Output: Data not Found
Case 2:
Input: Enter size: 10
1,2,3,4,5,6,7,8,9,10
Enter the data to search: 7
Output: Data Found at index: 6
Time complexity: O(squareroot (n))
*/