   # Find the number of zeroes in an array in C/C++

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Given an array of 1s and 0s which has all 1s first followed by all 0s. Find the number of 0s. Count the number of zeroes in the given array. posted Apr 8, 2014
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## 1 Answer

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``````// A divide and conquer solution to find count of zeroes in an array
// where all 1s are present before all 0s
#include <stdio.h>

/* if 0 is present in arr[] then returns the index of FIRST occurrence
of 0 in arr[low..high], otherwise returns -1 */
int firstZero(int arr[], int low, int high)
{
if (high >= low)
{
// Check if mid element is first 0
int mid = low + (high - low)/2;
if (( mid == 0 || arr[mid-1] == 1) && arr[mid] == 0)
return mid;

if (arr[mid] == 1)  // If mid element is not 0
return firstZero(arr, (mid + 1), high);
else  // If mid element is 0, but not first 0
return firstZero(arr, low, (mid -1));
}
return -1;
}

// A wrapper over recursive function firstZero()
int countOnes(int arr[], int n)
{
// Find index of first zero in given array
int first = firstZero(arr, 0, n-1);

// If 0 is not present at all, return 0
if (first == -1)
return 0;

return (n - first);
}

/* Driver program to check above functions */
int main()
{
int arr[] =   {1, 1, 1, 0, 0, 0, 0, 0};
int n = sizeof(arr)/sizeof(arr);
printf("Count of zeroes is %d", countOnes(arr, n));
return 0;
}
Output:

Count of zeroes is 5
`````` answer Dec 1, 2014
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