#include #include #include #include #include #include #include #define rep(i, a, b) for (int i = int(a); i < int(b); i++) using namespace std; using ll = long long int; using P = pair; // clang-format off #ifdef _DEBUG_ #define dump(...) do{ cerr << __LINE__ << ":\t" << #__VA_ARGS__ << " = "; debug_print(__VA_ARGS__); } while(false) template void debug_print(const T &t, const Ts &...ts) { cerr << t; ((cerr << ", " << ts), ...); cerr << endl; } #else #define dump(...) do{ } while(false) #endif template vector make_v(size_t a, T b) { return vector(a, b); } template auto make_v(size_t a, Ts... ts) { return vector(a, make_v(ts...)); } template bool chmin(T &a, const T& b) { if (a > b) {a = b; return true; } return false; } template bool chmax(T &a, const T& b) { if (a < b) {a = b; return true; } return false; } template void print(const T& t, const Ts&... ts) { cout << t; ((cout << ' ' << ts), ...); cout << '\n'; } template void input(Ts&... ts) { (cin >> ... >> ts); } template istream &operator,(istream &in, T &t) { return in >> t; } // clang-format on template class ModInt { ll n; ModInt constexpr inverse() const { return ModInt::pow(*this, MOD - 2); } public: ModInt() : n(0) {} ModInt(ll _n) : n(((_n % MOD) + MOD) % MOD) {} ModInt operator+=(const ModInt &m) { n += m.n; if (n >= MOD) n -= MOD; return *this; } ModInt operator-=(const ModInt &m) { n -= m.n; if (n < 0) n += MOD; return *this; } ModInt operator*=(const ModInt &m) { n *= m.n; if (n >= MOD) n %= MOD; return *this; } ModInt operator/=(const ModInt &m) { (*this) *= m.inverse(); return *this; } friend ModInt operator+(ModInt t, const ModInt &m) { return t += m; } friend ModInt operator-(ModInt t, const ModInt &m) { return t -= m; } friend ModInt operator*(ModInt t, const ModInt &m) { return t *= m; } friend ModInt operator/(ModInt t, const ModInt &m) { return t /= m; } ModInt operator=(const ll l) { n = l % MOD; if (n < 0) n += MOD; return *this; } friend ostream &operator<<(ostream &out, const ModInt &m) { out << m.n; return out; } friend istream &operator>>(istream &in, ModInt &m) { ll l; in >> l; m = l; return in; } static constexpr ModInt pow(const ModInt x, ll p) { ModInt ans = 1; for (ModInt m = x; p > 0; p /= 2, m *= m) { if (p % 2) ans *= m; } return ans; } static constexpr ll mod() { return MOD; } }; using mint = ModInt<>; mint operator"" _m(unsigned long long m) { return mint(m); } int main() { cin.tie(nullptr); ios::sync_with_stdio(false); int n, m, k; cin, n, m, k; vector P(m), Q(m), C(m); rep(i, 0, m) { cin, P[i], Q[i], C[i]; P[i]--; Q[i]--; } const int codes = 300; auto dp = make_v(2, codes, k + 1, 0_m); rep(i, 0, codes) { dp[0][i][0] = 1; } rep(_, 0, n - 1) { int cur = _ % 2, nxt = (_ + 1) % 2; rep(i, 0, codes) { rep(j, 0, k + 1) { dp[nxt][i][j] = 0; } } rep(i, 0, m) { rep(j, 0, k + 1) { if (j + C[i] <= k) { dp[nxt][Q[i]][j + C[i]] += dp[cur][P[i]][j]; } } } } mint ans = 0; rep(i, 0, codes) { ans += dp[(n - 1) % 2][i][k]; } print(ans); return 0; }