#include using namespace std; using VS = vector; using LL = long long; using VI = vector; using VVI = vector; using PII = pair; using PLL = pair; using VL = vector; using VVL = vector; #define ALL(a) begin((a)),end((a)) #define RALL(a) (a).rbegin(), (a).rend() #define SZ(a) int((a).size()) #define SORT(c) sort(ALL((c))) #define RSORT(c) sort(RALL((c))) #define UNIQ(c) (c).erase(unique(ALL((c))), end((c))) #define FOR(i, s, e) for (int(i) = (s); (i) < (e); (i)++) #define FORR(i, s, e) for (int(i) = (s); (i) > (e); (i)--) #define debug(x) cerr << #x << ": " << x << endl const int INF = 1e9; const LL LINF = 1e16; const LL MOD = 1000000007; const double PI = acos(-1.0); int DX[8] = { 0, 0, 1, -1, 1, 1, -1, -1 }; int DY[8] = { 1, -1, 0, 0, 1, -1, 1, -1 }; /* ----- 2018/09/30 Problem: yukicoder 309 / Link: http://yukicoder.me/problems/no/309 ----- */ /* ------問題------ -----問題ここまで----- */ /* -----解説等----- ----解説ここまで---- */ LL ans = 0LL; int main() { cin.tie(0); ios_base::sync_with_stdio(false); int H, W; cin >> H >> W; vector>P(H, vector(W)); FOR(i, 0, H) { FOR(j, 0, W) { cin >> P[i][j]; P[i][j] /= 100.0; } } VVI S(H, VI(W)); FOR(i, 0, H) { FOR(j, 0, W) { cin >> S[i][j]; } } vector>dp(H + 1, vector(1 << W, 0)); dp[0][0] = 1; FOR(i, 0, H) { FOR(state, 0, 1 << W) { double p = 1; FOR(j, 0, W) { if (state & 1 << j) { p *= P[i][j]; } else { p *= 1 - P[i][j]; } } // 現在の列がstateであるような確率pは分かっている auto ok = [](int s, int k) { return s & 1 << k; }; FOR(pre, 0, 1 << W) { if (dp[i][pre] < 1e-12)continue; int upstate = 0; FOR(j, 0, W) { if (S[i][j] == 0 && ok(state, j))upstate |= 1 << j; if (S[i][j] == 1 && ok(state, j) && ok(pre, j))upstate |= 1 << j; } FOR(j, 1, W) { if (S[i][j] == 1 && ok(state, j) && ok(upstate, j - 1))upstate |= 1 << j; if (S[i][j] == 2 && ok(state, j) && ok(pre, j) && ok(upstate, j - 1))upstate |= 1 << j; } FORR(j, W - 2, 0 - 1) { if (S[i][j] == 1 && ok(state, j) && ok(upstate, j + 1))upstate |= 1 << j; if (S[i][j] == 2 && ok(state, j) && ok(pre, j) && ok(upstate, j + 1))upstate |= 1 << j; } FORR(j, W - 2, 0) { if (S[i][j] == 2 && ok(state, j) && ok(upstate,j-1) && ok(upstate, j + 1))upstate |= 1 << j; if (S[i][j] == 3 && ok(state, j) && ok(pre, j) && ok(upstate, j - 1) && ok(upstate, j + 1))upstate |= 1 << j; } dp[i + 1][upstate] += p * dp[i][pre]; } } } double ans = 0; FOR(i, 0, H) { FOR(state, 0, 1 << W) { ans += __builtin_popcount(state)*dp[i + 1][state]; } } cout << fixed << setprecision(10) << ans << "\n"; return 0; }