#include <bits/stdc++.h> #define boost \ ios_base::sync_with_stdio(0); \ cin.tie(0); \ cout.tie(0) #define ALL(x) (x).begin(), (x).end() using namespace std; #define sim template <class c #define ris return *this #define dor > debug& operator<< #define eni(x) sim > typename enable_if<sizeof dud<c>(0) x 1, debug&>::type operator<<(c i) { sim > struct rge { c b, e; }; sim > rge<c> range(c i, c j) { return rge<c>{i, j}; } sim > auto dud(c* x) -> decltype(cerr << *x, 0); sim > char dud(...); struct debug { #ifdef LOCAL ~debug() { cerr << endl; } eni(!=) cerr << boolalpha << i; ris; } eni(==) ris << range(begin(i), end(i)); } sim, class b dor(pair<b, c> d) { ris << "(" << d.first << ", " << d.second << ")"; } sim dor(rge<c> d) { *this << "["; for (auto it = d.b; it != d.e; ++it) *this << ", " + 2 * (it == d.b) << *it; ris << "]"; } #else sim dor(const c&) { ris; } #endif } ; #define imie(...) " [" << #__VA_ARGS__ ": " << (__VA_ARGS__) << "] " #define dbg(x) cerr << #x << " = " << x << "\n" using ll = long long; using ld = long double; using pii = pair<int, int>; int R(int a, int b) { static mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); return uniform_int_distribution<int>(a, b)(rng); } constexpr int MAXN = 200005, MOD = 1'000'000'007; void solve(int tc) {} int zapalony[MAXN]; vector<int> g[MAXN]; int n, m; vector<int> cc[MAXN]; int sz[MAXN], fac[MAXN]; int get_size(int v, int c) { cc[c].push_back(v); sz[v] = 1; for (auto u : g[v]) { if (!sz[u]) sz[v] += get_size(u, c); } return sz[v]; } int color[MAXN]; bool is_bipartite(int v, int c) { color[v] = c; for (auto u : g[v]) { if (!color[u] && !is_bipartite(u, (c == 1 ? 2 : 1))) return false; else if (color[v] == color[u]) return false; } return true; } int power(int x, int y) { int res = 1; int pot = x; while (y) { if (y & 1) res = 1LL * res * pot % MOD; pot = 1LL * pot * pot % MOD; y /= 2; } return res; } int inv(int x) { return power(x, MOD-2); } int choose(int N, int K) { return (1LL * fac[N] * inv(fac[N-K]) % MOD)* inv(fac[K]) % MOD; } int pot2[MAXN]; int32_t main() { boost; cin >> n >> m; fac[0] = pot2[0] = 1; for (int i = 1; i <= n; i++) cin >> zapalony[i], fac[i] = 1LL * fac[i-1] * i % MOD, pot2[i] = 1LL * pot2[i-1] * 2 % MOD; while(m--) { int a,b ; cin >> a >> b; g[a].push_back(b); g[b].push_back(a); } int ans = 1; for (int i = 1; i <= n; i++) { if (!sz[i]) { int sz = get_size(i, i); if (is_bipartite(i, 1)) { int A = 0, B = 0; int C = 0, D = 0; for (auto j : cc[i]) { if (color[j] == 1) { A++; if (zapalony[j]) C++; } else { B++; if(zapalony[j]) D++; } } debug() << imie(vector<int>{A,B,C,D}); int mi = min(C, D); C -= mi; D -= mi; int bal = D - C; bal += A; debug() << imie(bal) << imie(sz); ans = 1LL * ans * choose(sz, bal) % MOD; } else { ans = 1LL * ans * pot2[sz-1] % MOD; } } } cout << ans << "\n"; }
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 | #include <bits/stdc++.h> #define boost \ ios_base::sync_with_stdio(0); \ cin.tie(0); \ cout.tie(0) #define ALL(x) (x).begin(), (x).end() using namespace std; #define sim template <class c #define ris return *this #define dor > debug& operator<< #define eni(x) sim > typename enable_if<sizeof dud<c>(0) x 1, debug&>::type operator<<(c i) { sim > struct rge { c b, e; }; sim > rge<c> range(c i, c j) { return rge<c>{i, j}; } sim > auto dud(c* x) -> decltype(cerr << *x, 0); sim > char dud(...); struct debug { #ifdef LOCAL ~debug() { cerr << endl; } eni(!=) cerr << boolalpha << i; ris; } eni(==) ris << range(begin(i), end(i)); } sim, class b dor(pair<b, c> d) { ris << "(" << d.first << ", " << d.second << ")"; } sim dor(rge<c> d) { *this << "["; for (auto it = d.b; it != d.e; ++it) *this << ", " + 2 * (it == d.b) << *it; ris << "]"; } #else sim dor(const c&) { ris; } #endif } ; #define imie(...) " [" << #__VA_ARGS__ ": " << (__VA_ARGS__) << "] " #define dbg(x) cerr << #x << " = " << x << "\n" using ll = long long; using ld = long double; using pii = pair<int, int>; int R(int a, int b) { static mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); return uniform_int_distribution<int>(a, b)(rng); } constexpr int MAXN = 200005, MOD = 1'000'000'007; void solve(int tc) {} int zapalony[MAXN]; vector<int> g[MAXN]; int n, m; vector<int> cc[MAXN]; int sz[MAXN], fac[MAXN]; int get_size(int v, int c) { cc[c].push_back(v); sz[v] = 1; for (auto u : g[v]) { if (!sz[u]) sz[v] += get_size(u, c); } return sz[v]; } int color[MAXN]; bool is_bipartite(int v, int c) { color[v] = c; for (auto u : g[v]) { if (!color[u] && !is_bipartite(u, (c == 1 ? 2 : 1))) return false; else if (color[v] == color[u]) return false; } return true; } int power(int x, int y) { int res = 1; int pot = x; while (y) { if (y & 1) res = 1LL * res * pot % MOD; pot = 1LL * pot * pot % MOD; y /= 2; } return res; } int inv(int x) { return power(x, MOD-2); } int choose(int N, int K) { return (1LL * fac[N] * inv(fac[N-K]) % MOD)* inv(fac[K]) % MOD; } int pot2[MAXN]; int32_t main() { boost; cin >> n >> m; fac[0] = pot2[0] = 1; for (int i = 1; i <= n; i++) cin >> zapalony[i], fac[i] = 1LL * fac[i-1] * i % MOD, pot2[i] = 1LL * pot2[i-1] * 2 % MOD; while(m--) { int a,b ; cin >> a >> b; g[a].push_back(b); g[b].push_back(a); } int ans = 1; for (int i = 1; i <= n; i++) { if (!sz[i]) { int sz = get_size(i, i); if (is_bipartite(i, 1)) { int A = 0, B = 0; int C = 0, D = 0; for (auto j : cc[i]) { if (color[j] == 1) { A++; if (zapalony[j]) C++; } else { B++; if(zapalony[j]) D++; } } debug() << imie(vector<int>{A,B,C,D}); int mi = min(C, D); C -= mi; D -= mi; int bal = D - C; bal += A; debug() << imie(bal) << imie(sz); ans = 1LL * ans * choose(sz, bal) % MOD; } else { ans = 1LL * ans * pot2[sz-1] % MOD; } } } cout << ans << "\n"; } |