#ifdef LOCAL111 #define _GLIBCXX_DEBUG #else #define NDEBUG #endif #define _USE_MATH_DEFINES #ifndef _GLIBCXX_NO_ASSERT #include #endif #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #if __cplusplus >= 201103L #include #include #include #include #include #include #include #include #endif // C++ #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 #include #include #include #include #include #if __cplusplus >= 201103L #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #endif const int INF = 1e9; using namespace std; template ostream& operator<< (ostream& os, const pair& p) { os << '(' << p.first << ' ' << p.second << ')'; return os; } #define endl '\n' #define ALL(a) (a).begin(),(a).end() #define SZ(a) int((a).size()) #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 REP(i,n) FOR(i,0,n) #define RREP(i,n) for (int i=(n)-1;i>=0;i--) #ifdef LOCAL111 #define DEBUG(x) cout<<#x<<": "<<(x)< void dpite(T a, T b){ for(T ite = a; ite != b; ite++) cout << (ite == a ? "" : " ") << *ite; cout << endl;} #else #define DEBUG(x) true template void dpite(T a, T b){ return; } #endif #define F first #define S second #define SNP string::npos #define WRC(hoge) cout << "Case #" << (hoge)+1 << ": " template void pite(T a, T b){ for(T ite = a; ite != b; ite++) cout << (ite == a ? "" : " ") << *ite; cout << endl;} template bool chmax(T& a, T b){if(a < b){a = b; return true;} return false;} template bool chmin(T& a, T b){if(a > b){a = b; return true;} return false;} typedef long long int LL; typedef unsigned long long ULL; typedef pair P; void ios_init(){ //cout.setf(ios::fixed); //cout.precision(12); #ifdef LOCAL111 return; #endif ios::sync_with_stdio(false); cin.tie(0); } template class ModInt { public: const static long long mod = MOD; long long x; ModInt() { x = 0; } ModInt(long long x) { x %= mod; this->x = x < 0 ? x+mod : x; } int get() const { return (int)x; } ModInt &operator+=(ModInt that) { if((x += that.get()) >= mod) x -= mod; return *this; } ModInt &operator-=(ModInt that) { if((x += mod-that.get()) >= mod) x -= mod; return *this; } ModInt &operator*=(ModInt that) { x = x*that.get()%mod; return *this; } ModInt &operator/=(ModInt that) { return *this *= that.inverse(); } ModInt operator+(ModInt that) const { return ModInt(*this) += that; } ModInt operator-(ModInt that) const { return ModInt(*this) -= that; } ModInt operator*(ModInt that) const { return ModInt(*this) *= that; } ModInt operator/(ModInt that) const { return ModInt(*this) /= that; } ModInt inverse() const { using std::swap; long long a = x, b = mod, u = 1, v = 0; while(b) { long long t = a/b; a -= t*b; swap(a,b); u -= t*v; swap(u,v); } return ModInt(u); } ModInt pow(int n) const{ ModInt b = *this; ModInt res = 1; while(n != 0) { if(n&1){ res *= b; } b *= b; n >>= 1; } return res; } bool operator==(ModInt that) const { return x == that.get(); } bool operator!=(ModInt that) const { return x != that.get(); } ModInt operator-() const { return x == 0 ? 0 : ModInt(mod-x); } }; template ostream& operator<< (ostream& os, const ModInt& m) { os << m.get(); return os; } template istream& operator>> (istream& is, ModInt& m){ long long n; is >> n; m = n; return is;} typedef ModInt<1000000007> mint; const vector f = {0, 0, 1, 1, 1, 1, 1, 0}; void gen(int n) { REP(mask, 1< ma = mask; bitset<30> ne = 0; DEBUG(ma); REP(i, n) { int ind = 4*ma[(i-1+n)%n] + 2*ma[i] + ma[(i+1)%n]; ne[i] = f[ind]; // DEBUG(i); DEBUG(ind); } DEBUG(ne); DEBUG(endl); } } int main() { ios_init(); int n; // cin >> n; // gen(n); while(cin >> n) { vector e(n); REP(i, n) cin >> e[i]; const int fi = 7; using T = tuple; map memo; function rec = [&](int p, int mask, int ft) -> mint { int nma = mask<<1; DEBUG(p); DEBUG(ft); DEBUG(mask); if(p == -1) { if(e[0] == f[nma|((ft>>1)&1)] && e[n-1] == f[ft|((mask&1)<<2)]) { return 1; } else { return 0; } } if(memo.count({p, mask, ft})) return memo[{p, mask, ft}]; mint res = 0; if(f[nma|1] == e[p+1]) { res += rec(p-1, (nma|1)&3, ft); } if(f[nma] == e[p+1]) { res += rec(p-1, (nma)&3, ft); } return memo[{p, mask, ft}] = res; }; mint ans = 0; REP(i, 4) { DEBUG(i); ans += rec(n-3, i, i); DEBUG(ans); } cout << ans << endl; } return 0; }