#include #include #include #include #include #define _USE_MATH_DEFINES #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define FOR(i,m,n) for(int i=(m);i<(n);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) (v).begin(),(v).end() const int INF = 0x3f3f3f3f; const long long LINF = 0x3f3f3f3f3f3f3f3fLL; const double EPS = 1e-8; const int MOD = 1000000007; // const int MOD = 998244353; const int dy[] = {1, 0, -1, 0}, dx[] = {0, -1, 0, 1}; // const int dy[] = {1, 1, 0, -1, -1, -1, 0, 1}, // dx[] = {0, -1, -1, -1, 0, 1, 1, 1}; struct IOSetup { IOSetup() { cin.tie(nullptr); ios_base::sync_with_stdio(false); cout << fixed << setprecision(20); cerr << fixed << setprecision(10); } } iosetup; /*-------------------------------------------------*/ int mod = MOD; struct ModInt { unsigned val; ModInt(): val(0) {} ModInt(long long x) : val(x >= 0 ? x % mod : x % mod + mod) {} ModInt pow(long long exponent) { ModInt tmp = *this, res = 1; while (exponent > 0) { if (exponent & 1) res *= tmp; tmp *= tmp; exponent >>= 1; } return res; } ModInt &operator+=(const ModInt &rhs) { if((val += rhs.val) >= mod) val -= mod; return *this; } ModInt &operator-=(const ModInt &rhs) { if((val += mod - rhs.val) >= mod) val -= mod; return *this; } ModInt &operator*=(const ModInt &rhs) { val = static_cast(val) * rhs.val % mod; return *this; } ModInt &operator/=(const ModInt &rhs) { return *this *= rhs.inv(); } bool operator==(const ModInt &rhs) const { return val == rhs.val; } bool operator!=(const ModInt &rhs) const { return val != rhs.val; } bool operator<(const ModInt &rhs) const { return val < rhs.val; } bool operator<=(const ModInt &rhs) const { return val <= rhs.val; } bool operator>(const ModInt &rhs) const { return val > rhs.val; } bool operator>=(const ModInt &rhs) const { return val >= rhs.val; } ModInt operator-() const { return ModInt(val ? mod - val : 0); } ModInt operator+(const ModInt &rhs) const { return ModInt(*this) += rhs; } ModInt operator-(const ModInt &rhs) const { return ModInt(*this) -= rhs; } ModInt operator*(const ModInt &rhs) const { return ModInt(*this) *= rhs; } ModInt operator/(const ModInt &rhs) const { return ModInt(*this) /= rhs; } friend ostream &operator<<(ostream &os, const ModInt &rhs) { return os << rhs.val; } friend istream &operator>>(istream &is, ModInt &rhs) { long long x; is >> x; rhs = ModInt(x); return is; } private: ModInt inv() const { // if (__gcd(val, mod) != 1) assert(false); unsigned a = val, b = mod; int x = 1, y = 0; while (b) { unsigned tmp = a / b; swap(a -= tmp * b, b); swap(x -= tmp * y, y); } return ModInt(x); } }; int abs(const ModInt &x) { return x.val; } struct Combinatorics { int val; vector fact, fact_inv, inv; Combinatorics(int val = 10000000) : val(val), fact(val + 1), fact_inv(val + 1), inv(val + 1) { fact[0] = 1; FOR(i, 1, val + 1) fact[i] = fact[i - 1] * i; fact_inv[val] = ModInt(1) / fact[val]; for (int i = val; i > 0; --i) fact_inv[i - 1] = fact_inv[i] * i; FOR(i, 1, val + 1) inv[i] = fact[i - 1] * fact_inv[i]; } ModInt nCk(int n, int k) { if (n < 0 || n < k || k < 0) return ModInt(0); // assert(n <= val && k <= val); return fact[n] * fact_inv[k] * fact_inv[n - k]; } ModInt nPk(int n, int k) { if (n < 0 || n < k || k < 0) return ModInt(0); // assert(n <= val); return fact[n] * fact_inv[n - k]; } ModInt nHk(int n, int k) { if (n < 0 || k < 0) return ModInt(0); return (k == 0 ? ModInt(1) : nCk(n + k - 1, k)); } }; int main() { int h, w; cin >> h >> w; vector s(h); REP(i, h) cin >> s[i]; REP(_, w) { REP(j, w - 1) { int idx = -1, val; REP(i, h) { if (s[i][j] == s[i][j + 1] && s[i][j] != '?') { idx = i; val = s[i][j] - '0'; break; } } if (idx == -1) continue; REP(i, h) { int now = val ^ (abs(idx - i) & 1); if (s[i][j] != '0' + now && s[i][j] != '?') { cout << 0 << '\n'; return 0; } if (s[i][j + 1] != '0' + now && s[i][j + 1] != '?') { cout << 0 << '\n'; return 0; } s[i][j] = s[i][j + 1] = '0' + now; } } } ModInt ans = 1; REP(j, w) { int pat = 0; bool alt = true; REP(i, h) { alt &= s[i][j] == '?' || s[i][j] == '0' + (i & 1); } pat += alt; alt = true; REP(i, h) { alt &= s[i][j] == '?' || s[i][j] == '0' + ((i + 1) & 1); } pat += alt; ans *= pat; } vector > dp(h, vector(2, 0)); dp[0][0] = dp[0][1] = 1; REP(j, w) { if (s[0][j] == '0' + (j & 1)) dp[0][1] = 0; if (s[0][j] == '0' + ((j + 1) & 1)) dp[0][0] = 0; } FOR(i, 1, h) { dp[i][0] = dp[i][1] = dp[i - 1][0] + dp[i - 1][1]; REP(j, w) { if (s[i][j] == '0' + (j & 1)) dp[i][1] = 0; if (s[i][j] == '0' + ((j + 1) & 1)) dp[i][0] = 0; } } ans += dp[h - 1][0] + dp[h - 1][1]; bool ichimatsu = true; REP(i, h) REP(j, w) { ichimatsu &= s[i][j] == '?' || s[i][j] == '0' + ((i + j) & 1); } ans -= ichimatsu; ichimatsu = true; REP(i, h) REP(j, w) { ichimatsu &= s[i][j] == '?' || s[i][j] == '0' + ((i + j + 1) & 1); } ans -= ichimatsu; cout << ans << '\n'; return 0; }