#include #define GET_MACRO(a, b, c, NAME, ...) NAME #define rep(...) GET_MACRO(__VA_ARGS__, rep3, rep2)(__VA_ARGS__) #define rep2(i, a) rep3 (i, 0, a) #define rep3(i, a, b) for (int i = (a); i < (b); i++) #define repr(...) GET_MACRO(__VA_ARGS__, repr3, repr2)(__VA_ARGS__) #define repr2(i, a) repr3 (i, 0, a) #define repr3(i, a, b) for (int i = (b) - 1; i >= (a); i--) using namespace std; typedef long long ll; template inline bool chmin(T1 &a, T2 b) { return b < a && (a = b, true); } template inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); } double P[11][11]; int S[11][11], pts[11]; double dp0[1 << 11], dp1[1 << 11]; double pr[11][11]; int dst[1 << 11]; int main() { int r, c; cin >> r >> c; cin.ignore(); rep (i, r) rep (j, c) { cin >> P[i][j]; P[i][j] /= 100; } cin.ignore(); rep (i, r) rep (j, c) cin >> S[i][j]; double ans = 0; dp0[0] = 1; queue q; rep (i, r) { memset(dp1, 0, sizeof(dp1)); rep (t, 1 << c) { double pr = 1; rep (j, c) { if (t & 1 << j) pr *= P[i][j]; else pr *= 1 - P[i][j]; } memset(dst, -1, sizeof(dst)); rep (s, 1 << c) { if (dst[s & t] == -1) { memset(pts, 0, sizeof(pts)); double pr = 1; rep (j, c) { if (t & 1 << j) pts[j] += 4 - S[i][j]; if (s & 1 << j) pts[j]++; } int u = 0; rep (j, c) if (pts[j] >= 4) q.push(j); while (!q.empty()) { int j = q.front(); q.pop(); u |= 1 << j; if (j - 1 >= 0) { pts[j - 1]++; if (pts[j - 1] == 4) { q.push(j - 1); } } if (j + 1 < c) { pts[j + 1]++; if (pts[j + 1] == 4) { q.push(j + 1); } } } dst[s & t] = u; } dp1[dst[s & t]] += dp0[s] * pr; } } swap(dp0, dp1); rep (s, 1 << c) { ans += __builtin_popcount(s) * dp0[s]; } } printf("%.20f\n", ans); return 0; }