#include "bits/stdc++.h" using namespace std; #define DEBUG(x) cout<<#x<<": "< #define vl vector #define vii vector< vector > #define vll vector< vector > #define vs vector #define pii pair #define pis pair #define psi pair #define pll pair template pair operator+(const pair &s, const pair &t) { return pair(s.first + t.first, s.second + t.second); } template pair operator-(const pair &s, const pair &t) { return pair(s.first - t.first, s.second - t.second); } template ostream& operator<<(ostream& os, pair p) { os << "(" << p.first << ", " << p.second << ")"; return os; } #define fi first #define se second #define rep(i,n) for(ll i=0;i<(ll)(n);i++) #define rep1(i,n) for(ll i=1;i<=(ll)(n);i++) #define rrep(i,n) for(ll i=(ll)(n)-1;i>=0;i--) #define rrep1(i,n) for(ll i=(ll)(n);i>0;i--) #define REP(i,a,b) for(ll i=(ll)a;i<(ll)b;i++) #define in(x, a, b) (a <= x && x < b) #define all(v) v.begin(),v.end() #define UNIQUE(v) v.erase(unique(all(v)), v.end()) template bool chmax(T &a, const T &b) { if (a bool chmin(T &a, const T &b) { if (a>b) { a = b; return 1; } return 0; } const ll inf = 1000000001; const ll INF = 2e18; const ll MOD = 1000000007; const double pi = 3.14159265358979323846; #define Sp(p) cout< crt(ll a1, ll mo1, ll a2, ll mo2) { // return (x,y) y=lcm(a1,a2),x%mo1=a1,x%mo2=a2 ll g, x, y, z; g = extgcd(mo1, mo2, x, y); a1 = (a1%mo1 + mo1) % mo1; a2 = (a2%mo2 + mo2) % mo2; if (a1%g != a2 % g) return pair(-1, 0); // N/A lll lcm = mo1 * (mo2 / g); if (lcm(-2, 0); // overflow lll v = a1 + ((a2 - a1) % lcm + lcm)*x%lcm*(mo1 / g); return make_pair(((v%lcm) + lcm) % lcm, lcm); } int main() { int n, m; cin >> n >> m; vi x(m); rep(i, m) { cin >> x[i]; } const int N = 10000000; vi dp(N); vl mods = { 17 * 9920467,592951213 }; vl ans(mods.size()); rep(i, mods.size()) { fill(all(dp), 0); dp[0] = 1; rep(j, N) { rep(k, m) { if (j + x[k] < N) { (dp[j + x[k]] += dp[j]) %= mods[i]; } } } if (n <= N) { ans[i] = dp[n - 1]; } else { rep(j, 5) { rep(k, N) { if (k + x[j] < N) { continue; } if (k + x[j] >= n) { break; } (ans[i] += dp[k] * dp[n - (k + 1) - x[j]] % mods[i]) %= mods[i]; } } } } /* rep(i, mods.size() - 1) { DEBUG(i); DEBUG(ans[i]); DEBUG(ans[i + 1]); ll x, y; extgcd(mods[i], mods[i + 1], x, y); ll temp = ans[i] * mods[i + 1] % (mods[i] * mods[i + 1]) * y % (mods[i] * mods[i + 1]); temp = (temp + ans[i + 1] * mods[i] % (mods[i] * mods[i + 1]) * x % (mods[i] * mods[i + 1])) % (mods[i] * mods[i + 1]); ans[i + 1] = temp; mods[i + 1] = mods[i] * mods[i + 1]; while (ans[i + 1] < 0) { ans[i + 1] += mods[i + 1]; } DEBUG(ans[i + 1]); } cout << ans[1] << endl; //*/ cout << crt(ans[0], mods[0], ans[1], mods[1]).first << endl; }