#pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> template void debug(T e){ cerr << e << endl; } template void debug(vector &v){ rep(i, v.size()){ cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v){ rep(i, v.size()){ rep(j, v[i].size()){ cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v){ rep(i,v.size()){ cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st){ for (auto itr = st.begin(); itr != st.end(); itr++){ cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms){ for (auto itr = ms.begin(); itr != ms.end(); itr++){ cerr << *itr << " "; } cerr << endl; } template void debug(map &mp){ for (auto itr = mp.begin(); itr != mp.end(); itr++){ cerr << itr->first << " " << itr->second << endl; } } void debug_out(){ cerr << endl; } template void debug_out(Head H, Tail... T){ cerr << H << " "; debug_out(T...); } void dijkstra(vvpll &graph, ll v, vl &dist, vl &cnt){ priority_queue> pque; vector decided(graph.size()); pque.push(pll(0, v)); cnt[v] = 1; dist[v] = 0; while(pque.size()){ pll p = pque.top(); pque.pop(); if (dist[p.second] < p.first){ continue; } decided[p.second] = true; for (auto x: graph[p.second]){ if (dist[x.first] + x.second == dist[p.second] && decided[x.first]){ cnt[p.second] = (cnt[p.second] + cnt[x.first]) % mod1; } } for (auto x: graph[p.second]){ if (dist[x.first] > dist[p.second] + x.second){ dist[x.first] = dist[p.second] + x.second; pque.push(pll(dist[x.first], x.first)); } } } } int main(){ ll N, M; cin >> N >> M; vl a(M); vl b(M); rep(i,M){ cin >> a[i] >> b[i]; a[i]--; b[i]--; } vl c(N); rep(i,N) cin >> c[i]; ll ans = M + 1; if (M <= 2){ for (ll i = 0; i < (1 << M); i++){ vl cnt(N, 0); rep(j, N) cnt[j] = c[j]; ll popcnt = 0; for (ll j = 0; j < M; j++){ if ((i >> j) & 1){ cnt[a[j]] ^= 1; cnt[b[j]] ^= 1; popcnt++; } } bool pos = true; rep(j, N){ if (cnt[j] == 1) pos = false; } if (pos){ ans = min(ans, popcnt); } } } else{ ll c_bit = 0; for (ll i = 0; i < N; i++){ if (c[i] == 1) c_bit += (1LL << i); } vpll former(0); vpll latter(0); for (ll i = 0; i < (1LL << (M / 2)); i++){ ll pop_cnt = 0; vl change(N, 0); for (ll j = 0; j < (M / 2); j++){ if ((i >> j) & 1){ pop_cnt++; change[a[j]] ^= 1; change[b[j]] ^= 1; } } ll change_bit = 0; for (ll j = 0; j < N; j++){ if (change[j] == 1){ change_bit += (1LL << j); } } former.push_back(pll(pop_cnt, change_bit)); } for (ll i = 0; i < (1LL << (M - M / 2)); i++){ ll pop_cnt = 0; vl change(N, 0); for (ll j = 0; j < (M - M / 2); j++){ if ((i >> j) & 1){ pop_cnt++; change[a[j + M / 2]] ^= 1; change[b[j + M / 2]] ^= 1; } } ll change_bit = 0; for (ll j = 0; j < N; j++){ if (change[j] == 1){ change_bit += (1LL << j); } } latter.push_back(pll(pop_cnt, change_bit)); } unordered_map lattmap; for (ll i = 0; i < latter.size(); i++){ if (lattmap[latter[i].second] == 0) lattmap[latter[i].second] = latter[i].first; else lattmap[latter[i].second] = min(lattmap[latter[i].second], latter[i].first); } //debug(c_bit); for (ll i = 0; i < former.size(); i++){ //debug_out(former[i].second, former[i].first, lattmap[former[i].second ^ c_bit]); if ((former[i].second ^ c_bit) == 0) ans = min(ans, former[i].first); else{ if (lattmap[former[i].second ^ c_bit] >= 1){ ans = min(ans, former[i].first + lattmap[former[i].second ^ c_bit]); } } } } if (ans == M + 1) cout << -1 << endl; else cout << ans << endl; }