#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using P = pair<ll,ll>;
#define fix(x) fixed << setprecision(x)
#define asc(x) x, vector<x>, greater<x>
#define rep(i, n) for(ll i = 0; i < n; i++)
#define all(x) (x).begin(),(x).end()
template<class T>bool chmin(T&a, const T&b){if(a>b){a=b;return 1;}return 0;}
template<class T>bool chmax(T&a, const T&b){if(a<b){a=b;return 1;}return 0;}
constexpr ll INFLL = (1LL << 62), MOD = 998244353;
constexpr int INF = (1 << 30);

int main(){
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    int t;
    cin >> t;
    rep(houren,t){
        ll a,b,c,k,ans = 0;
        cin >> a >> b >> c >> k;
        ans = a + b + c;
        rep(i,k){
            ll d = (a+b)/2;
            ll e = (b+c)/2;
            ll f = (c+a)/2;
            a = d, b = e, c = f;
            if(!chmin(ans, a+b+c)) break;
        }
        cout << ans << '\n';
    }
    return 0;
}