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

#define ALL(x) (x).begin(),(x).end()
#define IO ios::sync_with_stdio(false),cin.tie(nullptr);
#define REP(i, n) for(ll i=0; i<(ll)(n); i++)
#define FOR(i, a, b) for(ll i=(ll)(a); i<(b); i++)
#define ROF(i, a, b) for(ll i=(ll)(b)-1; i>=(a); i--)

template<typename T> int LB(const vector<T>& v, T x) { return lower_bound(ALL(v),x)-(v).begin(); }
template<typename T> int UQ(T& v) { sort(ALL(v)); v.erase(unique(ALL(v)),v.end()); return v.size(); }
template<typename T> bool chmax(T &a, T b) { return a<b ? a=b, true : false; }
template<typename T> bool chmin(T &a, T b) { return a>b ? a=b, true : false; }
template<typename T> using rpriority_queue=priority_queue<T,vector<T>,greater<T>>;
using ll=long long; const int INF=1e9+10; const ll INFL=4e18; using ld=long double;
using ull=unsigned long long; using lll=__int128_t; using VST=vector<string>;
using VI=vector<int>; using VVI=vector<VI>; using VL=vector<ll>; using VVL=vector<VL>;
using PL=pair<ll,ll>; using VP=vector<PL>; using WG=vector<vector<pair<int,ll>>>;

#ifdef LOCAL
#include "./debug.hpp"
#else
#define debug(...)
#define print_line
#endif


//----------------------------------------------------------

int main() {
    IO; int T; cin>>T;

    while(T--)[] {
        ll N; cin>>N;
        VL A(N); REP(i,N) cin>>A[i];
        sort(ALL(A)); reverse(ALL(A));

        ll ans=0;
        ll sum=accumulate(ALL(A),0ll);

        bool fl=false;
        REP(i,N) {
            if(!fl) {
                sum-=A[i];
                ans+=min(sum+1,A[i]);
                fl=true;
            } else {
                ans+=A[i];
            }
        }

        cout<<ans<<'\n';
    }();
}