#include #include #include #include template std::vector vec(int len, T elem) { return std::vector(len, elem); } template struct ModInt { using lint = long long; int val; // constructor ModInt(lint v = 0) : val(v % MOD) { if (val < 0) val += MOD; }; // unary operator ModInt operator+() const { return ModInt(val); } ModInt operator-() const { return ModInt(MOD - val); } ModInt inv() const { return this->pow(MOD - 2); } // arithmetic ModInt operator+(const ModInt& x) const { return ModInt(*this) += x; } ModInt operator-(const ModInt& x) const { return ModInt(*this) -= x; } ModInt operator*(const ModInt& x) const { return ModInt(*this) *= x; } ModInt operator/(const ModInt& x) const { return ModInt(*this) /= x; } ModInt pow(lint n) const { auto x = ModInt(1); auto b = *this; while (n > 0) { if (n & 1) x *= b; n >>= 1; b *= b; } return x; } // compound assignment ModInt& operator+=(const ModInt& x) { if ((val += x.val) >= MOD) val -= MOD; return *this; } ModInt& operator-=(const ModInt& x) { if ((val -= x.val) < 0) val += MOD; return *this; } ModInt& operator*=(const ModInt& x) { val = lint(val) * x.val % MOD; return *this; } ModInt& operator/=(const ModInt& x) { return *this *= x.inv(); } // compare bool operator==(const ModInt& b) const { return val == b.val; } bool operator!=(const ModInt& b) const { return val != b.val; } bool operator<(const ModInt& b) const { return val < b.val; } bool operator<=(const ModInt& b) const { return val <= b.val; } bool operator>(const ModInt& b) const { return val > b.val; } bool operator>=(const ModInt& b) const { return val >= b.val; } // I/O friend std::istream& operator>>(std::istream& is, ModInt& x) noexcept { return is >> x.val; } friend std::ostream& operator<<(std::ostream& os, const ModInt& x) noexcept { return os << x.val; } }; constexpr int MOD = 1000000007; using mint = ModInt; const std::vector> nxts{{0b000, 0b100, 0b111}, {0b001, 0b010, 0b011, 0b101, 0b110}}; void solve() { int n; std::cin >> n; auto dps = vec(4, vec(4, mint(0))); for (int b = 0; b < 4; ++b) dps[b][b] = 1; auto ndps = dps; for (int i = 0; i < n - 2; ++i) { int p; std::cin >> p; for (auto& v : ndps) std::fill(v.begin(), v.end(), 0); for (int c = 0; c < 4; ++c) { auto& dp = dps[c]; auto& ndp = ndps[c]; for (auto b : nxts[p]) { int pb = b >> 1; int nb = b & 3; ndp[nb] += dp[pb]; } } dps = ndps; } int p1, p2; std::cin >> p1 >> p2; mint ans = 0; for (int sb = 0; sb < 4; ++sb) { for (int lb = 0; lb < 4; ++lb) { int b = (lb << 2) | sb; if (nxts[p1].count(b >> 1) && nxts[p2].count(b & 7)) { ans += dps[sb][lb]; } } } std::cout << ans << "\n"; } int main() { std::cin.tie(nullptr); std::ios::sync_with_stdio(false); solve(); return 0; }