#line 2 "/Users/noya2/Desktop/Noya2_library/template/template.hpp" using namespace std; #include #line 1 "/Users/noya2/Desktop/Noya2_library/template/inout_old.hpp" namespace noya2 { template ostream &operator<<(ostream &os, const pair &p){ os << p.first << " " << p.second; return os; } template istream &operator>>(istream &is, pair &p){ is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const vector &v){ int s = (int)v.size(); for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i]; return os; } template istream &operator>>(istream &is, vector &v){ for (auto &x : v) is >> x; return is; } void in() {} template void in(T &t, U &...u){ cin >> t; in(u...); } void out() { cout << "\n"; } template void out(const T &t, const U &...u){ cout << t; if (sizeof...(u)) cout << sep; out(u...); } template void out(const vector> &vv){ int s = (int)vv.size(); for (int i = 0; i < s; i++) out(vv[i]); } struct IoSetup { IoSetup(){ cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); cerr << fixed << setprecision(7); } } iosetup_noya2; } // namespace noya2 #line 1 "/Users/noya2/Desktop/Noya2_library/template/const.hpp" namespace noya2{ const int iinf = 1'000'000'007; const long long linf = 2'000'000'000'000'000'000LL; const long long mod998 = 998244353; const long long mod107 = 1000000007; const long double pi = 3.14159265358979323; const vector dx = {0,1,0,-1,1,1,-1,-1}; const vector dy = {1,0,-1,0,1,-1,-1,1}; const string ALP = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"; const string alp = "abcdefghijklmnopqrstuvwxyz"; const string NUM = "0123456789"; void yes(){ cout << "Yes\n"; } void no(){ cout << "No\n"; } void YES(){ cout << "YES\n"; } void NO(){ cout << "NO\n"; } void yn(bool t){ t ? yes() : no(); } void YN(bool t){ t ? YES() : NO(); } } // namespace noya2 #line 2 "/Users/noya2/Desktop/Noya2_library/template/utils.hpp" #line 6 "/Users/noya2/Desktop/Noya2_library/template/utils.hpp" namespace noya2{ unsigned long long inner_binary_gcd(unsigned long long a, unsigned long long b){ if (a == 0 || b == 0) return a + b; int n = __builtin_ctzll(a); a >>= n; int m = __builtin_ctzll(b); b >>= m; while (a != b) { int mm = __builtin_ctzll(a - b); bool f = a > b; unsigned long long c = f ? a : b; b = f ? b : a; a = (c - b) >> mm; } return a << std::min(n, m); } template T gcd_fast(T a, T b){ return static_cast(inner_binary_gcd(std::abs(a),std::abs(b))); } long long sqrt_fast(long long n) { if (n <= 0) return 0; long long x = sqrt(n); while ((x + 1) * (x + 1) <= n) x++; while (x * x > n) x--; return x; } template T floor_div(const T n, const T d) { assert(d != 0); return n / d - static_cast((n ^ d) < 0 && n % d != 0); } template T ceil_div(const T n, const T d) { assert(d != 0); return n / d + static_cast((n ^ d) >= 0 && n % d != 0); } template void uniq(std::vector &v){ std::sort(v.begin(),v.end()); v.erase(unique(v.begin(),v.end()),v.end()); } template inline bool chmin(T &x, U y) { return (y < x) ? (x = y, true) : false; } template inline bool chmax(T &x, U y) { return (x < y) ? (x = y, true) : false; } template inline bool range(T l, T x, T r){ return l <= x && x < r; } } // namespace noya2 #line 8 "/Users/noya2/Desktop/Noya2_library/template/template.hpp" #define rep(i,n) for (int i = 0; i < (int)(n); i++) #define repp(i,m,n) for (int i = (m); i < (int)(n); i++) #define reb(i,n) for (int i = (int)(n)-1; i >= 0; i--) #define all(v) (v).begin(),(v).end() using ll = long long; using ld = long double; using uint = unsigned int; using ull = unsigned long long; using pii = pair; using pll = pair; using pil = pair; using pli = pair; namespace noya2{ /* ~ (. _________ . /) */ } using namespace noya2; #line 2 "c.cpp" // https://judge.yosupo.jp/submission/360414 template struct DirectedMST{ private: struct dsu_undo{ int n; vector par; vector> history; vector snapshots; dsu_undo(int m) : n(m), par(n*2,-1){ iota(par.begin()+n,par.end(),0); } int leader(int i){ if(par[i] < 0) return i; history.emplace_back(i,par[i]); return par[i] = leader(par[i]); } int get(int i){return par[leader(i)+n];} int get_naive(int i){ while(par[i] > 0) i = par[i]; return par[i+n]; } void merge(int i, int j, int k){ i = leader(i), j = leader(j); if(i != j) { history.emplace_back(i,par[i]); history.emplace_back(j,par[j]); if(par[i] > par[j]) swap(i,j); par[i] += par[j]; par[j] = i; } history.emplace_back(i+n,par[i+n]); par[i+n] = k; } void snapshot(){snapshots.emplace_back(history.size());} void undo(){ while(history.size() > snapshots.back()){ par[history.back().first] = history.back().second; history.pop_back(); } snapshots.pop_back(); } }; struct skew_heap{ private: int n; vector val, lz; vector l, r; void push(int i){ if(~l[i]) add(l[i],lz[i]); if(~r[i]) add(r[i],lz[i]); lz[i] = 0; } public: skew_heap(const vector& val_) : n(val_.size()), val(val_), lz(n,0), l(n,-1), r(n,-1) {} void add(int i, T f){val[i] += f, lz[i] += f;} int merge(int x, int y){ if(!~x) return y; if(!~y) return x; if(val[y] < val[x]) swap(x,y); ll res = x; int z = -1; while(~x){ if(val[y] < val[x]){ swap(x,y); if(~z) r[z] = x; } z = x; swap(l[x],r[x]); push(x); x = r[x]; } r[z] = y; return res; } inline T get(int i){return val[i];} int pop(int i){ push(i); return merge(l[i],r[i]); } }; int n, m; vector weight; vector h, from, to, nxt; public: DirectedMST(int n_) : n(n_), m(0), h(n_,-1){} void add_edge(int u, int v, T w){ weight.push_back(w); from.push_back(v); to.push_back(u); nxt.push_back(h[v]); h[v] = m++; } pair> solve(int root){ skew_heap hp(weight); dsu_undo d(n*2); vector top(n,-1), st, link(n,-1); for(int u = 0; u < n; ++u) if(u != root) for(int e = h[u]; ~e; e = nxt[e]) top[u] = hp.merge(top[u],e); st.reserve(n); vector seen(n,false); seen[root] = true; link[root] = -2; int cur = n; T ans = 0; for(int u = 0; u < n; ++u) if(!~link[u]){ int v = u; while(!seen[v]){ if(~link[v]){ link.push_back(-1); top.push_back(-1); seen.push_back(false); d.snapshot(); while(true){ int w = st.back(); top[cur] = hp.merge(top[cur],top[w]); d.merge(cur,w,cur); if(w == v) break; st.pop_back(); } st.pop_back(); v = cur++; } ll e = top[v]; while(~e && d.get(to[e]) == v) e = hp.pop(e); if(!~e) return {}; st.push_back(v); link[v] = e; ans += hp.get(e); hp.add(e,-hp.get(e)); top[v] = hp.pop(e); v = d.get(to[e]); } while(!st.empty()){ seen[st.back()] = 1; st.pop_back(); } } link[root] = -1; for(--cur; cur >= n; --cur){ d.undo(); int v = d.get_naive(from[link[cur]]); link[v] = link[cur]; link.pop_back(); } return {ans,link}; } }; void solve(){ int n, m; in(n,m); DirectedMST g(n+1); vector a(n); in(a); const ll BIG = 1001001001; rep(i,m){ int u, v; in(u,v); u--, v--; g.add_edge(u,v,BIG-a[u]); g.add_edge(v,u,BIG-a[v]); } rep(i,n){ g.add_edge(n,i,BIG-0); } ll ans = g.solve(n).first; ans = BIG * n - ans; out(ans); } int main(){ int t = 1; in(t); while (t--) { solve(); } }