#include namespace { #pragma GCC diagnostic ignored "-Wunused-function" #include #pragma GCC diagnostic warning "-Wunused-function" using namespace std; using namespace atcoder; #define rep(i,n) for(int i = 0; i < (int)(n); i++) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; i--) #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) template bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } else return false; } template bool chmin(T& a, const T& b) { if (b < a) { a = b; return true; } else return false; } using ll = long long; using P = pair; using VI = vector; using VVI = vector; using VL = vector; using VVL = vector; using mint = modint998244353; template struct cntsum { T a, b; // a+bx mod x^2 friend cntsum operator+(const cntsum& lhs, const cntsum& rhs) { return {lhs.a + rhs.a, lhs.b + rhs.b}; } friend cntsum operator-(const cntsum& lhs, const cntsum& rhs) { return {lhs.a - rhs.a, lhs.b - rhs.b}; } friend cntsum operator*(const cntsum& lhs, const cntsum& rhs) { return {lhs.a * rhs.a, lhs.a * rhs.b + lhs.b * rhs.a}; } friend cntsum operator*(const T& c, const cntsum& x) { return {x.a, x.b + c * x.a}; } cntsum& operator+=(const cntsum& x) { return *this = *this + x; } cntsum& operator-=(const cntsum& x) { return *this = *this - x; } cntsum& operator*=(const cntsum& x) { return *this = *this * x; } }; } int main() { ios::sync_with_stdio(false); cin.tie(0); ll m; cin >> m; string s; cin >> s; using CS = cntsum; CS dp{1, 0}; const mint inv2 = mint(2).inv(); bool first = true; for (char c : s) { dp.b *= m; int x = c - '0'; // x+10k <= m - 1 ll kmx = (m - 1 - x) / 10; CS v; v.a = kmx + (first && x == 0 ? 0 : 1); v.b = (mint(x) + (first && x == 0 ? 10 : 0) + mint(x) + 10 * kmx) * v.a * inv2; dp *= v; first = false; } cout << dp.b.val() << '\n'; }