Largest subarray with equal number of 0s and 1s in C++

Let's see the steps to complete the program.

Initialise the array.
Make all zeroes in the array to -1.
Have a map an empty map to store the previous indexes.
Initialise sum to 0, max length to 0 and ending index to -1.
Write a loop that iterates till n.
- Add current element to sum.
- If the sum is equal to 0.
  - Update the max length with i + 1.
  - And ending index to i.
- If the sum is present in previous sums map and i - previousIndexes[sum] is greater than max length.
  - Update the max length and ending index.
- Else add the sum to the previous indexes map.
Print the starting index endingIndex - maxLength + 1 and ending index endingIndex.

Example

Let's see the code.

#include <bits/stdc++.h>
using namespace std;
void findTheSubArray(int arr[], int n) {
   unordered_map<int, int> previousIndexes;
   int sum = 0, maxLength = 0, endingIndex = -1;
   for (int i = 0; i < n; i++) {
      arr[i] = arr[i] == 0 ? -1 : 1;
   }
   for (int i = 0; i < n; i++) {
      sum += arr[i];
      if (sum == 0) {
         maxLength = i + 1;
         endingIndex = i;
      }
      if (previousIndexes.find(sum) != previousIndexes.end()) {
         if (maxLength < i - previousIndexes[sum]) {
            maxLength = i - previousIndexes[sum];
            endingIndex = i;
         }
      }else {
         previousIndexes[sum] = i;
      }
   }
   cout << endingIndex - maxLength + 1 << " " << endingIndex << endl;
}
int main() {
   int arr[] = { 1, 1, 0, 0, 0, 1, 1, 1, 0 };
   findTheSubArray(arr, 9);
   return 0;
}

Output

If you run the above code, then you will get the following result.

1 8

Conclusion

If you have any queries in the tutorial, mention them in the comment section.

Hafeezul Kareem

Published on 09-Apr-2021 14:12:48

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