#include <bits/stdc++.h>   using namespace std;   const int N = 5e3 + 7, M = 2e6 + 7, p = 1e9 + 7;   bool fp[M], gt[N];   vector<int> h[N], vt[N];   int n, a, b, tot, f[N], op[N], f1[N], f2[N], fl[N], st[N], va[N], cnt[N],       ft[N][N];   char s[N][N];   vector<char> t[N];   inline int read() {     int num = 0;     char g = getchar();     while (g < 48 || 57 < g) g = getchar();     while (47 < g && g < 58)       num = (num << 1) + (num << 3) + g - 48, g = getchar();     return num;   }   inline int gcd(int a, int b) {     if (!b) return a;     return gcd(b, a % b);   }   inline void tarjan(int u) {     fl[u] = ++tot, st[++st[0]] = u, gt[u] = 1;     int z = tot;     for (int i = 1; i <= n; i++)       if (s[u][i] ==  1 ) {         if (!fl[i]) tarjan(i);         if (gt[i]) fl[u] = min(fl[u], fl[i]);       }     if (fl[u] == z) {       while (st[st[0] + 1] != u) fl[st[st[0]]] = z, gt[st[st[0]]] = 0, st[0]--;     }   }   int main() {     n = read(), a = read(), b = read();     for (int i = 1; i <= n; i++) scanf( %s , s[i] + 1);     for (int i = 1; i <= n; i++) {       f[i] = read();       char g = getchar();       while (g ==  0  || g ==  1 ) t[i].push_back(g), g = getchar();     }     for (int i = 1; i <= n; i++)       if (!fl[i]) tarjan(i);     for (int i = 1; i <= n; i++)       for (int j = 1; j <= n; j++)         if (s[i][j] ==  1 ) ft[fl[i]][fl[j]] = 1;     for (int i = 1; i <= n; i++) h[fl[i]].push_back(i);     for (int i = 1; i <= n; i++)       for (int j = 1; j <= n; j++)         if (ft[i][j] && i != j) cnt[j]++;     for (int i = 1; i <= n; i++)       if (cnt[i] == 0 && h[i].size()) op[++op[0]] = i;     for (int i = 1; i <= op[0]; i++) {       int x = op[i];       for (int c = 1; c <= n; c++)         if (ft[x][c]) {           cnt[c]--;           if (!cnt[c]) op[++op[0]] = c;         }     }     for (int i = 1; i <= op[0]; i++) {       int x = op[i];       va[x] = f[h[x][0]];       for (int c = 1; c < h[x].size(); c++) va[x] = gcd(va[x], f[h[x][c]]);       vt[x].resize(va[x]);       for (int c = 0; c < h[x].size(); c++) {         int z = h[x][c];         for (int q = 0; q < f[z]; q++)           if (t[z][q] ==  1 ) vt[x][q % va[x]] = 1;       }     }     for (int i = 1; i < op[0]; i++) {       int c = gcd(va[op[i]], va[op[i + 1]]);       for (int x = 0; x < c; x++) fp[x] = 0;       for (int x = 0; x < va[op[i]]; x++)         if (vt[op[i]][x]) fp[x % c] = 1;       for (int x = 0; x < va[op[i + 1]]; x++)         if (fp[x % c]) vt[op[i + 1]][x] = 1;     }     for (int i = 1; i <= n; i++) {       for (int j = 0; j < f[i]; j++) {         if (t[i][j] ==  1 )           f1[i]++, f2[i]++;         else if (vt[fl[i]][j % va[fl[i]]])           f2[i]++;       }     }     memset(ft, 0, sizeof(ft));     for (int i = 0; i <= n; i++) {       ft[i][0] = 1;       for (int j = 1; j <= i; j++) {         ft[i][j] = ft[i - 1][j] + ft[i - 1][j - 1];         if (ft[i][j] >= p) ft[i][j] -= p;       }     }     long long ans = 0;     for (int i = 1; i <= n; i++) {       int x = 0, y = 0;       for (int j = 1; j <= n; j++) {         if (i == j) continue;         if (f1[j] > f2[i])           x++;         else if (f2[j] > f2[i])           y++;         else if (f2[j] == f2[i] && i > j)           y++;       }       if (x >= a) continue;       for (int z = 0; z <= min(a - x - 1, b - 1); z++)         ans = (ans + 1ll * ft[y][z] * ft[x][b - z - 1]) % p;     }     cout << ans << endl;   }