#include <bits/stdc++.h>   using namespace std;   bool SR(int &x) { return scanf( %d , &x) == 1; }   bool SR(long long &x) { return scanf( %lld , &x) == 1; }   bool SR(double &x) { return scanf( %lf , &x) == 1; }   bool SR(char *s) { return scanf( %s , s) == 1; }   bool RI() { return true; }   template <typename I, typename... T>   bool RI(I &x, T &...tail) {     return SR(x) && RI(tail...);   }   void SP(const int x) { printf( %d , x); }   void SP(const long long x) { printf( %lld , x); }   void SP(const double x) { printf( %.16lf , x); }   void SP(const char *s) { printf( %s , s); }   void PL() { puts(  ); }   template <typename I, typename... T>   void PL(const I x, const T... tail) {     SP(x);     if (sizeof...(tail)) putchar(   );     PL(tail...);   }   const int maxn = 3e3 + 3;   const int second = 200;   struct Node {     static Node mem[maxn + 514], *pmem;     int dep;     Node *fail, *to[2];     int who;     Node() : dep(-1), fail(0), to{NULL, NULL}, who(-1) {}     Node(int _d, int _w) : dep(_d), fail(0), to{NULL, NULL}, who(_w) {}   } Node::mem[maxn + 514], *Node::pmem = Node::mem;   int pos[maxn];   struct AC {     AC() { root = new (Node::pmem++) Node(-1, -1); }     Node *root;     void add(const string &s, int id) {       Node *pt = root;       for (int i = 0; i < int(((int)(s).size())); i++) {         if (!pt->to[s[i] -  a ])           pt->to[s[i] -  a ] = new (Node::pmem++) Node(1 + pt->dep, -1);         pt = pt->to[s[i] -  a ];       }       pt->who = id;       pos[id] = pt - Node::mem;     }     void build() {       queue<Node *> q;       q.push(root);       root->fail = root;       while (((int)(q).size())) {         Node *pt = q.front();         q.pop();         for (int i = 0; i < int(2); i++)           if (pt->to[i]) q.push(pt->to[i]);         if (pt->dep == -1) {           for (int i = 0; i < int(2); i++)             if (pt->to[i]) pt->to[i]->fail = root;           for (int i = 0; i < int(2); i++)             if (!pt->to[i]) pt->to[i] = root;         } else {           for (int i = 0; i < int(2); i++)             if (pt->to[i]) {               Node *&cur = pt->to[i]->fail;               for (cur = pt->fail; cur != root && !cur->to[i]; cur = cur->fail)                 ;               if (cur->to[i]) cur = cur->to[i];             }           for (int i = 0; i < int(2); i++)             if (!pt->to[i]) {               Node *&cur = pt->to[i];               for (cur = pt->fail; cur != root && !cur->to[i]; cur = cur->fail)                 ;               if (cur->to[i]) cur = cur->to[i];             }         }       }     }   } ac;   int n, m;   string s[maxn];   void read() {     RI(n, m);     for (int i = 0; i < int(m); i++) {       static char in[maxn];       RI(in);       s[i] = in;     }   }   const int MOD = 1e9 + 7;   string os[maxn];   int sig;   int f[maxn][maxn];   int _c[2][maxn][maxn / second + 1];   int (*prv)[maxn / second + 1], (*cur)[maxn / second + 1];   int big;   int om;   void build() {     om = m;     for (int i = 0; i < int(m); i++) os[i] = s[i];     sort(s, s + m);     m = unique(s, s + m) - s;     sort(s, s + m, [&](const string &a, const string &b) {       return make_pair(((int)(a).size()), a) > make_pair(((int)(b).size()), b);     });     for (big = 0; big < m && ((int)(s[big]).size()) > second; big++)       ;     for (int i = 0; i < int(m); i++) ac.add(s[i], i);     ac.build();     sig = Node::pmem - Node::mem;   }   int ans[maxn];   void sol_big() {     for (int i = 0; i < int(sig); i++) f[1][i] = Node::mem[i].to[0] - Node::mem;     for (int i = 0; i < int(sig); i++) f[2][i] = Node::mem[i].to[1] - Node::mem;     for (int i = (3); i <= int(n); i++)       for (int j = 0; j < int(sig); j++) f[i][j] = f[i - 2][f[i - 1][j]];     prv = _c[0];     cur = _c[1];     for (int i = 0; i < int(sig); i++)       for (int j = 0; j < int(big); j++) {         Node *pt = Node::mem + i;         for (pt = pt->to[0]; pt->who != j && pt->dep != -1; pt = pt->fail)           ;         prv[i][j] = (pt->who == j);       }     for (int i = 0; i < int(sig); i++)       for (int j = 0; j < int(big); j++) {         Node *pt = Node::mem + i;         for (pt = pt->to[1]; pt->who != j && pt->dep != -1; pt = pt->fail)           ;         cur[i][j] = (pt->who == j);       }     for (int _ = (3); _ <= int(n); _++) {       static int tmp[maxn][maxn / second + 1];       auto &m1 = cur, &m2 = prv;       for (int i = 0; i < int(sig); i++)         for (int j = 0; j < int(big); j++)           tmp[i][j] = m1[i][j] + m2[f[_ - 1][i]][j];       for (int i = 0; i < int(sig); i++)         for (int j = 0; j < int(big); j++)           if (tmp[i][j] >= MOD) tmp[i][j] -= MOD;       swap(prv, cur);       for (int i = 0; i < int(sig); i++)         for (int j = 0; j < int(big); j++) cur[i][j] = tmp[i][j];     }     for (int i = 0; i < int(big); i++) ans[i] = cur[0][i];   }   string h[maxn], t[maxn];   int ap[maxn][maxn];   void merge(const string &p, const string &q, int res[]) {     for (int i = 0; i < int(((int)(p).size())); i++) {       Node *pt = ac.root;       for (int j = (i); j <= int(((int)(p).size()) - 1); j++)         if (!(pt = pt->to[p[j] -  a ]))           while (1)             ;       for (int j = 0; j < int(((int)(q).size())); j++) {         if (!(pt = pt->to[q[j] -  a ]))           while (1)             ;         if (big <= pt->who && pt->who < m &&             pt->dep == (((int)(p).size()) - i) + j)           res[pt->who]++;       }     }     for (int i = (big); i <= int(m - 1); i++)       if (res[i] >= MOD) res[i] -= MOD;   }   void sol_small() {     h[1] =  a ;     h[2] =  b ;     for (int i = (3); i <= int(15); i++) h[i] = h[i - 1] + h[i - 2];     for (int i = (1); i <= int(15); i++) t[i] = h[i];     if (n <= 15) {       for (int j = (big); j <= int(m - 1); j++)         for (size_t o = h[n].find(s[j]); ~o; o = h[n].find(s[j], o + 1)) ans[j]++;     } else {       for (int i = (14); i <= int(15); i++)         for (int j = (big); j <= int(m - 1); j++)           for (size_t o = h[i].find(s[j]); ~o; o = h[i].find(s[j], o + 1))             ap[i][j]++;       for (int i = (14); i <= int(15); i++)         h[i].resize(second), t[i].erase(t[i].begin(), t[i].end() - second);       for (int i = (16); i <= int(n); i++) {         for (int j = (big); j <= int(m - 1); j++)           ap[i][j] = ap[i - 1][j] + ap[i - 2][j];         for (int j = (big); j <= int(m - 1); j++)           if (ap[i][j] >= MOD) ap[i][j] -= MOD;         h[i] = h[i - 1];         t[i] = t[i - 2];         merge(t[i - 1], h[i - 2], ap[i]);       }       for (int i = (big); i <= int(m - 1); i++) ans[i] = ap[n][i];     }   }   void sol() {     sol_big();     sol_small();     for (int i = 0; i < int(om); i++) {       int id = lower_bound(s, s + m, os[i],                            [&](const string &a, const string &b) {                              return make_pair(((int)(a).size()), a) >                                     make_pair(((int)(b).size()), b);                            }) -                s;       PL(ans[id]);     }   }   int main() {     read();     build();     sol();     return 0;   }