#include using namespace std; using ll = long long; ll CONST_MOD = 998244353LL; struct ModInt { long long Value; public: ModInt() { Value = 0L; } ModInt(long long value) { Value = value; } ModInt Power(long long exp) const { if (exp <= -1L) { return ModInt(1L) / Power(-exp); } if (exp == 0L) return 1L; if (exp == 1L) return *this; ModInt m = Power(exp / 2L); m = m * m; if (exp % 2L == 1L) { m = m * (*this); } return m; } ModInt Inv() const { return this->Power(CONST_MOD - 2L); } ModInt operator+() const { return *this; } ModInt operator-() const { return ModInt(-Value); } friend ModInt operator+(const ModInt& left, const ModInt& right) { return ModInt(SafeMod(left.Value + right.Value)); } friend ModInt operator+(const ModInt& left, const long long& right) { return ModInt(SafeMod(left.Value + right)); } friend ModInt operator+(const long long& left, const ModInt& right) { return ModInt(SafeMod(left + right.Value)); } ModInt& operator+=(const ModInt& x) { Value += x.Value; Value = SafeMod(Value); return *this; } ModInt& operator+=(const long long& x) { Value += x; Value = SafeMod(Value); return *this; } friend ModInt operator-(const ModInt& left, const ModInt& right) { return ModInt(SafeMod(left.Value - right.Value)); } friend ModInt operator-(const ModInt& left, const long long& right) { return ModInt(SafeMod(left.Value - right)); } friend ModInt operator-(const long long& left, const ModInt& right) { return ModInt(SafeMod(left - right.Value)); } ModInt& operator-=(const ModInt& x) { Value -= x.Value; Value = SafeMod(Value); return *this; } ModInt& operator-=(const long long& x) { Value -= x; Value = SafeMod(Value); return *this; } friend ModInt operator*(const ModInt& left, const ModInt& right) { return ModInt(SafeMod(left.Value * right.Value)); } friend ModInt operator*(const ModInt& left, const long long& right) { return ModInt(SafeMod(left.Value * right)); } friend ModInt operator*(const long long& left, const ModInt& right) { return ModInt(SafeMod(left * right.Value)); } ModInt& operator*=(const ModInt& x) { Value *= x.Value; Value = SafeMod(Value); return *this; } ModInt& operator*=(const long long& x) { Value *= x; Value = SafeMod(Value); return *this; } friend ModInt operator /(const ModInt& left, const ModInt& right) { ModInt inv = right.Inv(); return ModInt(SafeMod(left.Value * inv.Value)); } friend ModInt operator/(const ModInt& left, const long long& right) { return ModInt(SafeMod(left.Value * ModInt(right).Inv().Value)); } friend ModInt operator/(const long long& left, const ModInt& right) { return ModInt(SafeMod(left * right.Inv().Value)); } ModInt& operator/=(const ModInt& x) { Value *= x.Inv().Value; Value = SafeMod(Value); return *this; } ModInt& operator/=(const long long& x) { Value *= ModInt(x).Inv().Value; Value = SafeMod(Value); return *this; } ModInt& operator++() { ++Value; Value = SafeMod(Value); return *this; } ModInt operator++(int) { ModInt temp = *this; Value++; Value = SafeMod(Value); return temp; } ModInt& operator--() { --Value; Value = SafeMod(Value); return *this; } ModInt operator--(int) { ModInt temp = *this; Value--; Value = SafeMod(Value); return temp; } inline static ModInt One() { return ModInt(1L); } static ModInt Combination(long long n, long long r) { ModInt c = 1L; for (ModInt i = 1; i.Value <= r; i++) { c = c * (ModInt(n) - i + ModInt::One()) / i; } return c; } private: inline static long long SafeMod(long long a) { a %= CONST_MOD; if (a < 0) { a += CONST_MOD; } return a; } }; int main() { int N; cin >> N; const int OPEN = 0; const int CLOSE = 1; if ((N & 1) == 1) { cout << 0 << endl; return 0; } vector>> dp(N + 1, vector>(N + 1, vector(2, 0LL))); dp[1][1][OPEN] = 1LL; for (int i = 2; i <= N; i++) { for (int j = 0; j <= N; j++) { // ')'を追加 if (j <= N - 1) { dp[i][j][CLOSE] += dp[i - 1][j + 1][OPEN] + dp[i - 1][j + 1][CLOSE]; } // '('を追加 if (j >= 1) { dp[i][j][OPEN] += dp[i - 1][j - 1][OPEN] + dp[i - 1][j - 1][CLOSE]; } } } ModInt ans = 0LL; for (int i = 1; i <= N; i++) { // i文字目の')'の寄与 for (int j = 1; j <= N; j++) { int right = N - i; ans += dp[i][j][CLOSE] * (dp[right][j][OPEN] + dp[right][j][CLOSE]) * ModInt(j); } } cout << ans.Value << endl; }