# Print all subarrays with 0 sum in C++

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In this problem, we are given an array of integer values and we have to print all those subarrays from this array that have the sum equal to 0.

Let’s take an example to understand the topic better,

Input: array = [-5, 0, 2, 3, -3, 4, -1]
Output:
Subarray with sum 0 is from 1 to 4.
Subarray with sum 0 is from 5 to 7
Subarray with sum 0 is from 0 to 7

To solve this problem, we will check all subarrays possible. And check if the sum of these subarrays is equal to 0 and print them. This solution is easy to understand but the solution is complex, and its time complexity is of the order O(n^2).

A better solution to this problem is using Hashing. For solving this we will find the sum if it equals 0 add it to the Hash table.

## Algorithm

Step 1: Create a sum variable.
Step 2: If sum =0, subarray starts from index 0 to end index of the array.
Step 3: If the current sum is in the hash table.
Step 4: If the sum exists, then subarray from i+1 to n must be zero.
Step 5: Else insert into the hash table.

## Example

Live Demo

#include <bits/stdc++.h>
using namespace std;
vector< pair<int, int> > findSubArrayWithSumZero(int arr[], int n){
unordered_map<int, vector<int> >map;
vector <pair<int, int>> out;
int sum = 0;
for (int i = 0; i < n; i++){
sum += arr[i];
if (sum == 0)
out.push_back(make_pair(0, i));
if (map.find(sum) != map.end()){
vector<int> vc = map[sum];
for (auto it = vc.begin(); it != vc.end(); it++)
out.push_back(make_pair(*it + 1, i));
}
map[sum].push_back(i);
}
return out;
}
int main(){
int arr[] = {-5, 0, 2, 3, -3, 4, -1};
int n = sizeof(arr)/sizeof(arr);
vector<pair<int, int> > out = findSubArrayWithSumZero(arr, n);
if (out.size() == 0)
cout << "No subarray exists";
else
for (auto it = out.begin(); it != out.end(); it++)
cout<<"Subarray with sum 0 is from "<<it->first <<" to "<<it->second<<endl;
return 0;
}

## Output

Subarray with sum 0 is from 1 to 1
Subarray with sum 0 is from 0 to 3
Subarray with sum 0 is from 3 to 4
Subarray with sum 0 is from 0 to 6
Subarray with sum 0 is from 4 to 6