/* -*- coding: utf-8 -*- * * 2772.cc: No.2772 Appearing Even Times - yukicoder */ #include #include #include using namespace std; /* constant */ const int MAX_N = 10001; const int M = 10; const int MBITS = 1 << M; const int MOD = 998244353; /* typedef */ template struct MI { int v; MI(): v() {} MI(int _v): v(_v % MOD) { if (v < 0) v += MOD; } MI(long long _v): v(_v % MOD) { if (v < 0) v += MOD; } explicit operator int() const { return v; } MI operator+(const MI m) const { return MI(v + m.v); } MI operator-(const MI m) const { return MI(v + MOD - m.v); } MI operator*(const MI m) const { return MI((long long)v * m.v); } MI &operator+=(const MI m) { return (*this = *this + m); } MI &operator-=(const MI m) { return (*this = *this - m); } MI &operator*=(const MI m) { return (*this = *this * m); } bool operator==(const MI m) const { return v == m.v; } bool operator!=(const MI m) const { return v != m.v; } MI pow(int n) const { // a^n % MOD MI pm = 1, a = *this; while (n > 0) { if (n & 1) pm *= a; a *= a; n >>= 1; } return pm; } MI inv() const { return pow(MOD - 2); } MI operator/(const MI m) const { return *this * m.inv(); } MI &operator/=(const MI m) { return (*this = *this / m); } }; using mi = MI; /* global variables */ char s[MAX_N + 4]; mi dp[MAX_N + 1][MBITS], ss[MAX_N + 1]; /* subroutines */ /* main */ int main() { scanf("%s", s); int n = strlen(s); reverse(s, s + n); int co = 1; for (int i = 0; co && i < n; i++) { int d = (s[i] - '0') + co; s[i] = '0' + d % 10; co = d / 10; } if (co > 0) s[n++] = '1'; dp[0][0] = 1; for (int i = 0; i < n; i++) { for (int bits = 0; bits < MBITS; bits++) if (dp[i][bits] != 0) for (int j = 0; j < M; j++) dp[i + 1][bits ^ (1 << j)] += dp[i][bits]; for (int j = 1; j < M; j++) ss[i + 1] += dp[i][1 << j]; } mi sum = 0; for (int i = 0; i < n; i++) sum += ss[i]; int msk = 0; for (int i = n - 1; i >= 0; i--) { int di = s[i] - '0'; int j0 = (i < n - 1) ? 0 : 1; for (int j = j0; j < di; j++) sum += dp[i][msk ^ (1 << j)]; msk ^= (1 << di); } printf("%d\n", (int)sum); return 0; }