#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #ifdef LOCAL # include "debug_print.hpp" # define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) #else # define debug(...) (static_cast(0)) #endif using namespace std; #define rep(i,n) for(int i=0; i<(n); i++) #define rrep(i,n) for(int i=(n)-1; i>=0; i--) #define FOR(i,a,b) for(int i=(a); i<(b); i++) #define RFOR(i,a,b) for(int i=(b-1); i>=(a); i--) #define ALL(v) v.begin(), v.end() #define RALL(v) v.rbegin(), v.rend() #define UNIQUE(v) v.erase( unique(v.begin(), v.end()), v.end() ); #define pb push_back using ll = long long; using D = double; using LD = long double; using P = pair; template using PQ = priority_queue>; template using minPQ = priority_queue, greater>; templatebool chmax(T &a, const T &b) { if (abool chmin(T &a, const T &b) { if (b 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...); } void outr() {} template void outr(const T &t, const U &...u) { cout << t; outr(u...); } int main(){ ios_base::sync_with_stdio(false); cin.tie(nullptr); int n,m; in(n,m); vector> g(n); vector a,b; rep(i,m){ int x,y; in(x,y); x--; y--; g[x].pb({y,i}); g[y].pb({x,i}); a.pb(x); b.pb(y); } vector c(n); in(c); vector> ed(n),vs(n); vector seen_v(n,false); vector seen_e(m,false); int now = 0; rep(i,n){ if(seen_v[i]) continue; seen_v[i] = true; queue q; q.push({i}); vs[now].pb(i); while(q.size()){ int x = q.front(); q.pop(); for (auto [y,idx] : g[x]){ if(!seen_e[idx]) { seen_e[idx] = true; ed[now].pb(idx); } if(!seen_v[y]){ seen_v[y] = true; vs[now].pb(y); q.push(y); } } } now++; } const int inf = 1e9; int ans = 0; rep(i,now){ auto &v = ed[i]; int k = v.size(); int h = k/2; int l = k-h; vector msk1(1 << h), msk2(1 << l); rep(bit, (1 << h)){ rep(j,h){ if((bit >> j) & 1){ msk1[bit] ^= (1LL << a[v[j]]); msk1[bit] ^= (1LL << b[v[j]]); } } } rep(bit, (1 << l)){ rep(j,l){ if((bit >> j) & 1){ msk2[bit] ^= (1LL << a[v[j+h]]); msk2[bit] ^= (1LL << b[v[j+h]]); } } } ll state = 0; for(int ent : vs[i]){ if(c[ent]) state |= (1LL << ent); } map mp; rep(bit, (1 << l)){ if(!mp.count(msk2[bit])) mp[msk2[bit]] = __builtin_popcountll(bit); else chmin(mp[msk2[bit]], __builtin_popcountll(bit)); } int tmp = inf; rep(bit, (1 << h)){ ll rem = state ^ msk1[bit]; if(!mp.count(rem)) continue; chmin(tmp, mp[rem] + __builtin_popcountll(msk1[bit])); } if(tmp == inf){ out(-1); return 0; } ans += tmp; } out(ans); }