#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; constexpr int FACT_SIZE = 1000000; mint Fact[FACT_SIZE + 1]; mint iFact[FACT_SIZE + 1]; const auto fact_init = [] { Fact[0] = mint::raw(1); for(int i = 1; i <= FACT_SIZE; ++i) { Fact[i] = Fact[i-1] * i; } iFact[FACT_SIZE] = Fact[FACT_SIZE].inv(); for(int i = FACT_SIZE; i; --i) { iFact[i-1] = iFact[i] * i; } return false; }(); mint comb(int n, int k) { if (k == 0) return mint::raw(1); assert(n >= 0 && k >= 0); if (k > n) return mint::raw(0); return Fact[n] * iFact[n - k] * iFact[k]; } mint icomb(int n, int k) { return iFact[n] * Fact[n - k] * Fact[k]; } mint fact(int n) {return Fact[n];} mint perm(int n, int k) { assert(0 <= n); return Fact[n] * iFact[n - k]; } } int main() { ios::sync_with_stdio(false); cin.tie(0); string s; cin >> s; int n = s.size(); VI bs(n + 1); rep(i, n) bs[i + 1] = bs[i] ^ (1 << (s[i] - '0')); mint dp[11]; dp[0] = 1; mint ans; rrep(i, n) { if (i == 0 && s[i] != '0') ans += (s[i] - '0' - 1) * dp[1] * icomb(10, 1); else ans += 9 * dp[1] * icomb(10, 1); if (i) { int pc = popcount(0U + bs[i]); rep(x, s[i] - '0') { int npc = pc + (bs[i] >> x & 1 ? -1 : 1); ans += dp[npc] * icomb(10, npc); } } mint ndp[11]; rep(i, 11) { if (i < 10) ndp[i+1] += dp[i] * (10 - i); if (i) ndp[i-1] += dp[i] * i; } swap(dp, ndp); } if (bs[n] == 0) ans++; cout << ans.val() << '\n'; }