#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define rep(x, s, t) for(llint (x) = (s); (x) <= (t); (x)++) #define reps(x, s) for(llint (x) = 0; (x) < (llint)(s).size(); (x)++) #define chmin(x, y) (x) = min((x), (y)) #define chmax(x, y) (x) = max((x), (y)) #define sz(x) ((ll)(x).size()) #define ceil(x, y) (((x)+(y)-1) / (y)) #define all(x) (x).begin(),(x).end() #define outl(...) dump_func(__VA_ARGS__) #define inf 1e18 using namespace std; typedef long long llint; typedef long long ll; typedef pair P; bool exceed(ll x, ll y, ll m){return x >= m / y + 1;} struct edge{ ll to, cost; edge(){} edge(ll a, ll b){ to = a, cost = b; } }; template ostream& operator << (ostream& os, vector& vec) { for(int i = 0; i ostream& operator << (ostream& os, pair& pair_var) { os << "(" << pair_var.first << ", " << pair_var.second << ")"; return os; } template ostream& operator << (ostream& os, map& map_var) { for(typename map::iterator itr = map_var.begin(); itr != map_var.end(); itr++) { os << "(" << itr->first << ", " << itr->second << ")"; itr++; if(itr != map_var.end()) os << ","; itr--; } return os; } template ostream& operator << (ostream& os, set& set_var) { for(typename set::iterator itr = set_var.begin(); itr != set_var.end(); itr++) { os << *itr; ++itr; if(itr != set_var.end()) os << " "; itr--; } return os; } void dump_func() {cout << endl;} template void dump_func(Head &&head, Tail &&... tail) { cout << head; if(sizeof...(Tail) > 0) cout << " "; dump_func(std::move(tail)...); } #define mod 1000000007 const int FACT_MAX = 200005; llint fact[FACT_MAX], fact_inv[FACT_MAX]; llint modpow(llint a, llint n) { if(n == 0) return 1; if(n % 2){ return ((a%mod) * (modpow(a, n-1)%mod)) % mod; } else{ return modpow((a*a)%mod, n/2) % mod; } } void make_fact() { llint val = 1; fact[0] = 1; for(int i = 1; i < FACT_MAX; i++){ val *= i; val %= mod; fact[i] = val; } fact_inv[FACT_MAX-1] = modpow(fact[FACT_MAX-1], mod-2); for(int i = FACT_MAX-2; i >= 0; i--){ fact_inv[i] = fact_inv[i+1] * (i+1) % mod; } } llint comb(llint n, llint k) { llint ret = 1; ret *= fact[n]; ret *= fact_inv[k], ret %= mod; ret *= fact_inv[n-k], ret %= mod; return ret; } ll n; ll b[100005]; ll add[100005], sum[100005]; ll dp[100005][32]; int main(void) { ios::sync_with_stdio(0); cin.tie(0); make_fact(); cin >> n; rep(i, 1, n) cin >> b[i]; ll ans = 1; rep(i, 0, 29){ ll l = 0, r = n+1; rep(j, 1, n){ if(b[j] == -1) continue; if(b[j]&(1<= r){ outl(0); return 0; } if(r < n+1) add[l]++; } sum[0] = add[0]; rep(i, 1, n) sum[i] = sum[i-1] + add[i]; //rep(i, 0, n) cout << sum[i] << " "; cout << endl; dp[0][0] = 1; rep(i, 0, n-1){ if(i > 0 && b[i] != -1){ rep(j, 0, 30) if(j != sum[i-1]) dp[i][j] = 0; } rep(j, 0, 30){ rep(k, 0, 30){ if(j+k > sum[i]) break; ll mul = modpow(2, j); if(k == 0) mul += mod-1, mul %= mod; dp[i+1][j+k] += dp[i][j] * mul % mod * comb(sum[i]-j, k) % mod, dp[i+1][j+k] %= mod; } } } /*rep(i, 0, n){ rep(j, 0, 5) cout << dp[i][j] << " "; cout << endl; }*/ outl(dp[n][sum[n]]); return 0; }