This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*
    I find it wholesome to be alone the greater part of the time.
    To be in company, even with the best, is soon wearisome and dissipating.
    I love to be alone.
    I never found the companion that was so companionable as solitude.
*/
#include <bits/stdc++.h>
#define pb push_back
#define fi first
#define se second
#define faster ios_base::sync_with_stdio(0); cin.tie(0);
#define int long long
using namespace std;
using ll = long long;
using ld = long double;
using pii = pair <int, int>;
mt19937_64 Rand(chrono::steady_clock::now().time_since_epoch().count());
const int maxN = 1e5 + 1;
//const int Mod = 1e9 + 7;
const ll inf = 0x3f3f3f3f3f3f3f3f;
int n;
struct TEdge{
    int v, w, rw;
};
vector <TEdge> adj[maxN];
ll sum = 0;
ll ans[maxN];
int deg[maxN];
void dfs(int u, int p){
    for (auto &[v, w, rw]: adj[u]){
        if (v == p) continue;
        sum += w;
        dfs(v, u);
    }
}
void dfs1(int u, int p){
    ans[1] = min(ans[1], sum);
    for (auto &[v, w, rw]: adj[u]){
        if (v == p) continue;
        sum -= w - rw;
        dfs1(v, u);
        sum += w - rw;
    }
}
bool visited[maxN];
pii find_nxt(int u){
    for (auto &[v, w, rw]: adj[u]){
        if (!visited[v]){
            return {rw, v};
        }
    }
}
void Init(){
    cin >> n;
    for (int i = 1; i < n; ++i){
        int u, v, w, rw;
        cin >> u >> v >> w >> rw;
        adj[u].pb({v, w, rw});
        adj[v].pb({u, rw, w});
        ++deg[u];
        ++deg[v];
    }
    ans[1] = inf;
    dfs(1, 0);
    dfs1(1, 0);
    priority_queue <pii, vector <pii>, greater <pii>> PQ;
    for (int i = 1; i <= n; ++i){
        if (deg[i] == 1){
            PQ.push({find_nxt(i).fi, i});
        }
    }
    while (PQ.size() > 2){
        auto r = PQ.top(); PQ.pop();
        visited[r.se] = 1;
        auto p = find_nxt(r.se);
        if (--deg[p.se] == 1){
            PQ.push(pii{find_nxt(p.se).fi + r.fi, p.se});
        }
        else{
            ans[PQ.size()] = ans[PQ.size() + 1] + r.fi;
        }
    }
    int q; cin >> q;
    while (q--){
        int x; cin >> x; cout << ans[x] << "\n";
    }
}
#define debug
#define taskname "test"
signed main(){
    faster
    if (fopen(taskname".inp", "r")){
        freopen(taskname".inp", "r", stdin);
        freopen(taskname".out", "w", stdout);
    }
    int tt = 1;
    //cin >> tt;
    while (tt--){
        Init();
    }
    if (fopen("timeout.txt", "r")){
        ofstream timeout("timeout.txt");
        timeout << signed(double(clock()) / CLOCKS_PER_SEC * 1000);
        timeout.close();
        #ifndef debug
        cerr << "Time elapsed: " << signed(double(clock()) / CLOCKS_PER_SEC * 1000) << "ms\n";
        #endif // debug
    }
}
Compilation message (stderr)
designated_cities.cpp: In function 'pii find_nxt(long long int)':
designated_cities.cpp:56:1: warning: control reaches end of non-void function [-Wreturn-type]
   56 | }
      | ^
designated_cities.cpp: In function 'int main()':
designated_cities.cpp:99:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   99 |         freopen(taskname".inp", "r", stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~
designated_cities.cpp:100:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  100 |         freopen(taskname".out", "w", stdout);
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