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Splits.cpp
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/*
Solution by Rahul Surana
***********************************************************
You are given an array a1,a2,…,an consisting of integers from 0 to 9. A subarray al,al+1,al+2,…,ar−1,ar is good if the sum of elements of this subarray is equal to the length of this subarray (∑i=lrai=r−l+1).
For example, if a=[1,2,0], then there are 3 good subarrays: a1…1=[1],a2…3=[2,0] and a1…3=[1,2,0].
Calculate the number of good subarrays of the array a.
Input
The first line contains one integer t (1≤t≤1000) — the number of test cases.
The first line of each test case contains one integer n (1≤n≤105) — the length of the array a.
The second line of each test case contains a string consisting of n decimal digits, where the i-th digit is equal to the value of ai.
It is guaranteed that the sum of n over all test cases does not exceed 105.
Output
For each test case print one integer — the number of good subarrays of the array a.
***********************************************************
*/
#include <bits/stdc++.h>
#define ll long long
#define vl vector<ll>
#define vi vector<int>
#define pi pair<int,int>
#define pl pair<ll,ll>
#define all(a) a.begin(),a.end()
#define mem(a,x) memset(a,x,sizeof(a))
#define pb push_back
#define mp make_pair
#define F first
#define S second
#define FOR(i,a) for(int i = 0; i < a; i++)
#define trace(x) cerr<<#x<<" : "<<x<<endl;
#define trace2(x,y) cerr<<#x<<" : "<<x<<" | "<<#y<<" : "<<y<<endl;
#define trace3(x,y,z) cerr<<#x<<" : "<<x<<" | "<<#y<<" : "<<y<<" | "<<#z<<" : "<<z<<endl;
#define fast_io std::ios::sync_with_stdio(false),cin.tie(NULL),cout.tie(NULL)
using namespace std;
int main()
{
fast_io;
int t=1;
// cin >> t;
while(t--) {
int n;
cin >> n;
// set<int> ans;
// for(int i = n; i > 0; i--){
// if(n/i > 0){
// ans.insert(n/i);
// cout << n/i <<" ";
// }
// }
cout << 1+(n/2) <<"\n";
}
}