// >>> TEMPLATES #include using namespace std; using ll = long long; using ld = long double; using i32 = int32_t; using i64 = int64_t; using u32 = uint32_t; using u64 = uint64_t; #define int ll #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define rep1(i, n) for (int i = 1; i <= (int)(n); i++) #define repR(i, n) for (int i = (int)(n)-1; i >= 0; i--) #define rep1R(i, n) for (int i = (int)(n); i >= 1; i--) #define loop(i, a, B) for (int i = a; i B; i++) #define loopR(i, a, B) for (int i = a; i B; i--) #define all(x) begin(x), end(x) #define allR(x) rbegin(x), rend(x) #define pb push_back #define eb emplace_back #define fst first #define snd second template auto constexpr inf_ = numeric_limits::max()/2-1; auto constexpr INF32 = inf_; auto constexpr INF64 = inf_; auto constexpr INF = inf_; #ifdef LOCAL #include "debug.hpp" #define oj_local(x, y) (y) #else #define dump(...) (void)(0) #define say(x) (void)(0) #define debug if (0) #define oj_local(x, y) (x) #endif template struct pque : priority_queue, Comp> { vector &data() { return this->c; } void clear() { this->c.clear(); } }; template using pque_max = pque>; template using pque_min = pque>; template ::value, int> = 0> ostream& operator<<(ostream& os, T const& a) { bool f = true; for (auto const& x : a) os << (f ? "" : " ") << x, f = false; return os; } template ::value, int> = 0> ostream& operator<<(ostream& os, const T (&a)[N]) { bool f = true; for (auto const& x : a) os << (f ? "" : " ") << x, f = false; return os; } template ())), class = typename enable_if::value>::type> istream& operator>>(istream& is, T &a) { for (auto& x : a) is >> x; return is; } template ostream& operator<<(ostream& os, pair const& p) { return os << p.first << " " << p.second; } template istream& operator>>(istream& is, pair& p) { return is >> p.first >> p.second; } struct IOSetup { IOSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } } iosetup; template struct FixPoint : private F { constexpr FixPoint(F&& f) : F(forward(f)) {} template constexpr auto operator()(T&&... x) const { return F::operator()(*this, forward(x)...); } }; struct MakeFixPoint { template constexpr auto operator|(F&& f) const { return FixPoint(forward(f)); } }; #define MFP MakeFixPoint()| #define def(name, ...) auto name = MFP [&](auto &&name, __VA_ARGS__) template struct vec_impl { using type = vector::type>; template static type make_v(size_t n, U&&... x) { return type(n, vec_impl::make_v(forward(x)...)); } }; template struct vec_impl { using type = T; static type make_v(T const& x = {}) { return x; } }; template using vec = typename vec_impl::type; template auto make_v(Args&&... args) { return vec_impl::make_v(forward(args)...); } template void quit(T const& x) { cout << x << endl; exit(0); } template constexpr bool chmin(T& x, U const& y) { if (x > (T)y) { x = (T)y; return true; } return false; } template constexpr bool chmax(T& x, U const& y) { if (x < (T)y) { x = (T)y; return true; } return false; } template constexpr auto sumof(It b, It e) { return accumulate(b, e, typename iterator_traits::value_type{}); } template int sz(T const& x) { return x.size(); } template int lbd(C const& v, T const& x) { return lower_bound(begin(v), end(v), x)-begin(v); } template int ubd(C const& v, T const& x) { return upper_bound(begin(v), end(v), x)-begin(v); } constexpr ll mod(ll x, ll m) { assert(m > 0); return (x %= m) < 0 ? x+m : x; } constexpr ll div_floor(ll x, ll y) { assert(y != 0); return x/y - ((x^y) < 0 and x%y); } constexpr ll div_ceil(ll x, ll y) { assert(y != 0); return x/y + ((x^y) > 0 and x%y); } constexpr int dx[] = { 1, 0, -1, 0, 1, -1, -1, 1 }; constexpr int dy[] = { 0, 1, 0, -1, 1, 1, -1, -1 }; constexpr int popcnt(ll x) { return __builtin_popcountll(x); } mt19937_64 seed_{random_device{}()}; template Int rand(Int a, Int b) { return uniform_int_distribution(a, b)(seed_); } i64 irand(i64 a, i64 b) { return rand(a, b); } // [a, b] u64 urand(u64 a, u64 b) { return rand(a, b); } // template void shuffle(It l, It r) { shuffle(l, r, seed_); } template V &operator--(V &v) { for (auto &x : v) --x; return v; } template V &operator++(V &v) { for (auto &x : v) ++x; return v; } bool next_product(vector &v, int m) { repR (i, v.size()) if (++v[i] < m) return true; else v[i] = 0; return false; } bool next_product(vector &v, vector const& s) { repR (i, v.size()) if (++v[i] < s[i]) return true; else v[i] = 0; return false; } template int sort_unique(vec &v) { sort(begin(v), end(v)); v.erase(unique(begin(v), end(v)), end(v)); return v.size(); } template auto prefix_sum(It l, It r) { vector s = { 0 }; while (l != r) s.emplace_back(s.back() + *l++); return s; } template auto suffix_sum(It l, It r) { vector s = { 0 }; while (l != r) s.emplace_back(*--r + s.back()); reverse(s.begin(), s.end()); return s; } template T pop(vector &a) { auto x = a.back(); a.pop_back(); return x; } template T pop(priority_queue &a) { auto x = a.top(); a.pop(); return x; } template T pop(queue &a) { auto x = a.front(); a.pop(); return x; } template T pop_front(deque &a) { auto x = a.front(); a.pop_front(); return x; } template T pop_back(deque &a) { auto x = a.back(); a.pop_back(); return x; } template T pop_front(set &a) { auto x = *a.begin(); a.erase(a.begin()); return x; } template T pop_back(set &a) { auto it = prev(a.end()); auto x = *it; a.erase(it); return x; } template T pop_front(multiset &a) { auto it = a.begin(); auto x = *it; a.erase(it); return x; } template T pop_back(multiset &a) { auto it = prev(a.end()); auto x = *it; a.erase(it); return x; } // <<< // >>> union find struct UnionFind { int n, sz; // id : 0...n-1 vector par; UnionFind(int n = 0) : n(n), sz(n), par(n, -1) { } void clear() { rep (i, n) par[i] = -1; sz = n; } int root(int x) { assert(0 <= x); assert(x < n); return par[x] < 0 ? x : par[x] = root(par[x]); } bool unite(int x, int y) { x = root(x), y = root(y); if (x == y) return false; sz--; if (par[x] < par[y]) swap(x, y); par[y] += par[x]; par[x] = y; return true; } bool same(int x, int y) { return root(x) == root(y); } int size(int x) { return -par[root(x)]; } int size() const { return sz; } vector> groups() { vector> g(n); rep (i, n) if (par[i] < 0) g[i].reserve(-par[i]); rep (i, n) g[root(i)].push_back(i); vector> grp; grp.reserve(size()); rep (i, n) if (g[i].size()) grp.emplace_back(move(g[i])); return grp; } }; // <<< struct edge { int to; int cost; }; // >>> dijkstra #ifndef EDGE_INFO #define EDGE_INFO constexpr int dest(int v) { return v; } template ().to)> constexpr int dest(E const& e) { return e.to; } constexpr int cost(int) { return 1; } template ().cost)> constexpr auto cost(E const& e) { return e.cost; } template using cost_t = decltype(cost(declval())); #endif vector> dijkstra(vector> const& g, int s, cost_t inf) { rep (x, g.size()) { for (auto const& e : g[x]) { assert(cost(e) >= 0); } } vector> d(g.size(), inf); pque_min, int>> q; d[s] = 0; q.emplace(0, s); while (q.size()) { auto p = q.top(); q.pop(); const int x = p.snd; if (d[x] < p.fst) continue; for (auto const& e : g[x]) { const int y = dest(e); if (chmin(d[y], d[x] + cost(e))) { q.emplace(d[y], y); } } } return d; } // <<< int32_t main() { int n, m; cin >> n >> m; vector> es; rep (i, m) { int x, y; cin >> x >> y; --x, --y; es.eb(x, y); } auto a = make_v(2, n); cin >> a; UnionFind uf(2*n); for (auto [x, y] : es) { uf.unite(x, y+n); uf.unite(y, x+n); } if (not uf.same(0, n)) { say("2"); int ma = 0; rep (p, 2) { swap(a[0], a[1]); int sum = 0; rep (x, n) sum += a[uf.same(0, x)][x]; chmax(ma, sum); } cout << ma << '\n'; return 0; } vector c(2*n); rep (p, 2) rep (x, n) c[x+n*p] = max(a[0][x], a[1][x]) - a[p][x]; dump(c); vector> g(2*n); for (auto [x, y] : es) { rep (p, 2) { int q = p^1; g[x+p*n].pb({y+q*n, c[y+q*n]}); g[y+p*n].pb({x+q*n, c[x+q*n]}); } } int sum = 0; rep (x, n) sum += max(a[0][x], a[1][x]); dump(sum); int ma = 0; rep (p, 2) rep (x, n) { auto d = dijkstra(g, x+p*n, INF); int q = p^1; dump(x, d[x+q*n]); chmax(ma, sum - d[x+q*n]); } cout << ma << '\n'; }