#include <bits/stdc++.h>   using namespace std;   const long long mod = 1e9 + 7;   const int N = 1e6 + 10;   string s[101];   string x;   long long dp[101];   long long n;   int m;   int fail[N];   struct matrix {     long long v[4][4];     matrix() {       for (int i = 0; i < 4; i++)         for (int j = 0; j < 4; j++) v[i][j] = 0;     }     matrix(long long u[4][4]) {       for (int i = 0; i < 4; i++)         for (int j = 0; j < 4; j++) v[i][j] = u[i][j];     }     matrix operator*(const matrix a) const {       matrix ans;       for (int i = 0; i < 4; i++)         for (int j = 0; j < 4; j++)           for (int k = 0; k < 4; k++) {             ans.v[i][j] += (v[i][k] * a.v[k][j]);             ans.v[i][j] = (ans.v[i][j] + mod) % mod;           }       return ans;     }     void setunit() {       for (int i = 0; i < 4; i++) v[i][i] = 1;     }   };   long long mtx[4][4] = {       {1, 2, -1, -1},       {1, 0, 0, 0},       {0, 1, 0, 0},       {0, 0, 1, 0},   };   matrix calc(long long i) {     matrix tmp(mtx);     matrix ans;     ans.setunit();     while (i) {       if (i & 1ll) ans = tmp * ans;       tmp = tmp * tmp;       i = i / 2ll;     }     return ans;   }   long long kmp(int p) {     int m = x.length(), n = s[p].length();     if (m > n) return 0;     for (int i = 1, j = fail[0] = -1; i < m; i++) {       while (j >= 0 && x[j + 1] != x[i]) j = fail[j];       if (x[j + 1] == x[i]) j++;       fail[i] = j;     }     int ans = 0;     for (int i = 0, j = -1; i < n; i++) {       while (j >= 0 && x[j + 1] != s[p][i]) j = fail[j];       if (x[j + 1] == s[p][i]) j++;       if (j == m - 1) {         ans++;         j = fail[j];       }     }     return (long long)ans;   }   long long calc(int a, int b) {     string p = s[a] + s[b];     int s1 = s[a].length();     int m = x.length(), n = p.length();     if (m > n) return 0;     for (int i = 1, j = fail[0] = -1; i < m; i++) {       while (j >= 0 && x[j + 1] != x[i]) j = fail[j];       if (x[j + 1] == x[i]) j++;       fail[i] = j;     }     int ans = 0;     for (int i = 0, j = -1; i < n; i++) {       while (j >= 0 && x[j + 1] != p[i]) j = fail[j];       if (x[j + 1] == p[i]) j++;       if (j == m - 1) {         if ((i - m + 1 < s1) && (i + 1) > s1) ans++;         j = fail[j];       }     }     return (long long)ans;   }   int main() {     s[1] =  a ;     s[2] =  b ;     for (int i = 3; i <= 30; i++) s[i] = s[i - 1] + s[i - 2];     cin >> n >> m;     while (m--) {       cin >> x;       if (n <= 25) {         cout << kmp((int)n) << endl;         continue;       }       int len = x.length();       int r = 1;       while (s[r].length() < len) r++;       long long add1 = calc(r, r), add2 = calc(r + 1, r);       for (int i = 1; i <= r + 2; i++) dp[i] = kmp(i);       dp[r + 3] = dp[r + 2] + dp[r + 1] + add1;       dp[r + 4] = dp[r + 3] + dp[r + 2] + add2;       dp[r + 5] = dp[r + 4] + dp[r + 3] + add1;       dp[r + 6] = dp[r + 5] + dp[r + 4] + add2;       if (n <= r + 6) {         cout << dp[n] << endl;         continue;       }       matrix mat = calc(n - r - 6);       long long ans = 0;       for (int i = 0; i < 4; i++) ans += mat.v[0][i] * dp[r + 6 - i];       ans = ans % mod;       while (ans < 0) ans += mod;       cout << ans << endl;     }   }