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Added Sparse Search to Strings #1042

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73 changes: 73 additions & 0 deletions String/Sparse Search/sparsesearch.cpp
Original file line number Diff line number Diff line change
@@ -0,0 +1,73 @@
// C++ program to implement binary search
// in a sparse array.
#include <bits/stdc++.h>
using namespace std;

/* Binary Search in an array with blanks */
int binarySearch(string *arr, int low, int high, string x)
{
if (low > high)
return -1;

int mid = (low + high) / 2;

/*Modified Part*/
if (arr[mid] == "")
{
int left = mid - 1;
int right = mid + 1;

/*Search for both side for a non empty string*/
while (1)
{

/* No non-empty string on both sides */
if (left < low && right > high)
return -1;

if (left >= low && arr[left] != "")
{
mid = left;
break;
}

else if (right <= high && arr[right] != "")
{
mid = right;
break;
}

left--;
right++;
}
}

/* Normal Binary Search */
if (arr[mid] == x)
return mid;
else if (arr[mid] > x)
return binarySearch(arr, low, mid - 1, x);
else
return binarySearch(arr, mid + 1, high, x);
}

int sparseSearch(string arr[], string x, int n)
{
return binarySearch(arr, 0, n - 1, x);
}

int main()
{
ios_base::sync_with_stdio(false);

string arr[] = {"for", "geeks", "", "", "", "", "ide",
"practice", "", "", "", "quiz"};
string x = "geeks";
int n = sizeof(arr) / sizeof(arr[0]);
int index = sparseSearch(arr, x, n);
if (index != -1)
cout << x << " found at index " << index << "\n";
else
cout << x << " not found\n";
return 0;
}