#include<bits/stdc++.h>
using namespace std;
using ll =long long;

#include<atcoder/math>
using namespace atcoder;

void solve(){
	ll N;
	cin>>N;
	ll S=0;
	vector<ll> A(N);
	for(int i=0;i<N;i++){
		cin>>A[i];
		S+=A[i];
	}
	sort(A.begin(),A.end());
	if(S<A.back()*2){
		ll Z=S-A.back();
		cout<<2*Z+1<<"\n";
	}
	else cout<<S<<"\n";
}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(nullptr);


	int T=1;
	cin>>T;
	while(T--)solve();
	
}