//https://ncode.syosetu.com/n4830bu/329/ #include using namespace std; #include "atcoder/all" using namespace atcoder; using Mint = modint1000000007; vector c(2000, vector(2000, Mint{0})); vector seen(2000, vector(2000, false)); Mint C(int n, int k) { if (k < 0 || n < k) return 0; if (n == 0 || n == k) return 1; if (seen[n][k]) return c[n][k]; seen[n][k] = true; return c[n][k] = C(n - 1, k - 1) + C(n - 1, k); } int main() { int N, M; cin >> N >> M; vector W(N); for (auto&& w : W) { cin >> w; } vector G(N, vector(N, 0)); for (int i = 0; i < N; i++) { G[i][i] = W[i]; } while (M--) { int i, j; cin >> i >> j; i--; j--; G[i][j] = min(W[i], W[j]); } for (int k = 0; k < N; k++) { for (int i = 0; i < N; i++) { for (int j = 0; j < N; j++) { G[i][j] = max(G[i][j], min(G[i][k], G[k][j])); } } } auto maine = [&](int n, int k) { Mint book = 0; for (int i = 0; i <= k; i++) { book += (i % 2 == 0 ? Mint{1} : Mint{-1}) * C(k, i) * Mint{k - i}.pow(n); } return book; }; Mint ans = 0; for (int i = 0; i < N; i++) { for (int j = 0; j < N; j++) { if (G[i][j] == W[j]) { ans += maine(W[i], W[j]); } } } cout << ans.val() << endl; }