#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> // using mint = modint998244353; template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } using mint = modint998244353; void debug_mint1(vector &vec) { for (int i = 0; i < vec.size(); i++) { cerr << vec[i].val() << " "; } cerr << endl; } void debug_mint2(vector> &vec) { for (int i = 0; i < vec.size(); i++) { for (int j = 0; j < vec[i].size(); j++) { cerr << vec[i][j].val() << " "; } cerr << endl; } } mint inv2 = mint(499122177); mint prod_sum(ll start, ll M, ll num) { // 等差数列の和の公式なのは恐らく正解 // debug_out(start, M, num); mint mstart = mint(start); mint mgoal = mint(start) + mint(num - 1) * mint(10); mint ret = (mstart + mgoal) * mint(num) * inv2; return ret; } int main() { ll M; cin >> M; string S; cin >> S; ll N = S.size(); ll rem = M % 10; vector num(N); vector rems(N); for (ll i = 0; i < N; i++) { rems[i] = (ll)(S[i] - '0'); if (rems[i] < rem) { num[i] = M / 10 + 1; } else { num[i] = M / 10; } if (i == 0 && rems[i] == 0) { num[i]--; } } vector left_prod(N + 2, mint(1)); vector right_prod(N + 2, mint(1)); for (ll i = 1; i <= N; i++) { left_prod[i] = left_prod[i - 1] * mint(num[i - 1]); } for (ll i = N; i >= 1; i--) { right_prod[i] = right_prod[i + 1] * mint(num[i - 1]); } // debug_mint1(left_prod); // debug_mint1(right_prod); mint ans = mint::raw(0); for (ll i = 0; i < N; i++) { mint pnum = mint(M).pow(N - i - 1); ll start = rems[i]; ll last = rems[i] + (M / 10) * 10; if (rems[i] >= rem) { last -= 10; } if (i == 0 && rems[i] == 0) { start += 10; } ans += pnum * prod_sum(start, M % mod2, num[i]) * left_prod[i] * right_prod[i + 2]; // debug(ans.val()); } cout << ans.val() << endl; }