#line 1 "main.cpp" #include #include #include #include #include #include template inline bool chmin(T &lhs, const U &rhs) { if (lhs > rhs) { lhs = rhs; return true; } return false; } template inline bool chmax(T &lhs, const U &rhs) { if (lhs < rhs) { lhs = rhs; return true; } return false; } struct range { using itr = int64_t; struct iterator { itr i; constexpr iterator(itr i_) noexcept : i(i_) { } constexpr void operator ++ () noexcept { ++i; } constexpr itr operator * () const noexcept { return i; } constexpr bool operator != (iterator x) const noexcept { return i != x.i; } }; const iterator l, r; constexpr range(itr l_, itr r_) noexcept : l(l_), r(std::max(l_, r_)) { } constexpr iterator begin() const noexcept { return l; } constexpr iterator end() const noexcept { return r; } }; struct revrange { using itr = int64_t; struct iterator { itr i; constexpr iterator(itr i_) noexcept : i(i_) { } constexpr void operator ++ () noexcept { --i; } constexpr itr operator * () const noexcept { return i; } constexpr bool operator != (iterator x) const noexcept { return i != x.i; } }; const iterator l, r; constexpr revrange(itr l_, itr r_) noexcept : l(l_ - 1), r(std::max(l_, r_) - 1) { } constexpr iterator begin() const noexcept { return r; } constexpr iterator end() const noexcept { return l; } }; #line 2 "/Users/kodamankod/Desktop/Programming/Library/other/gen_vec.cpp" #include #line 5 "/Users/kodamankod/Desktop/Programming/Library/other/gen_vec.cpp" #include template decltype(auto) gen_vec(const size_t (&)[N], typename std::enable_if<(I == N), const T&>::type value = T{}) { return value; } template decltype(auto) gen_vec(const size_t (&list)[N], typename std::enable_if<(I != N), const T&>::type value = T{}) { return std::vector(list[I], gen_vec(list, value)); } #line 2 "/Users/kodamankod/Desktop/Programming/Library/algebraic/modular.cpp" #include #line 5 "/Users/kodamankod/Desktop/Programming/Library/algebraic/modular.cpp" template class modular { public: using value_type = uint32_t; using max_type = uint64_t; static constexpr value_type mod = Modulus; static constexpr value_type get_mod() noexcept { return mod; } static_assert(mod >= 2, "invalid mod :: smaller than 2"); static_assert(mod < (value_type(1) << 31), "invalid mod :: over 2^31"); template static constexpr value_type normalize(T value_) noexcept { if (value_ < 0) { value_ = -value_; value_ %= mod; if (value_ == 0) return 0; return mod - value_; } return value_ % mod; } private: value_type value; public: constexpr modular() noexcept : value(0) { } template explicit constexpr modular(T value_) noexcept : value(normalize(value_)) { } template explicit constexpr operator T() const noexcept { return static_cast(value); } constexpr value_type get() const noexcept { return value; } constexpr modular operator - () const noexcept { return modular(mod - value); } constexpr modular operator ~ () const noexcept { return inverse(); } constexpr value_type &extract() noexcept { return value; } constexpr modular inverse() const noexcept { return power(mod - 2); } constexpr modular power(max_type exp) const noexcept { modular res(1), mult(*this); while (exp > 0) { if (exp & 1) res *= mult; mult *= mult; exp >>= 1; } return res; } constexpr modular operator + (const modular &rhs) const noexcept { return modular(*this) += rhs; } constexpr modular& operator += (const modular &rhs) noexcept { if ((value += rhs.value) >= mod) value -= mod; return *this; } constexpr modular operator - (const modular &rhs) const noexcept { return modular(*this) -= rhs; } constexpr modular& operator -= (const modular &rhs) noexcept { if ((value += mod - rhs.value) >= mod) value -= mod; return *this; } constexpr modular operator * (const modular &rhs) const noexcept { return modular(*this) *= rhs; } constexpr modular& operator *= (const modular &rhs) noexcept { value = (max_type) value * rhs.value % mod; return *this; } constexpr modular operator / (const modular &rhs) const noexcept { return modular(*this) /= rhs; } constexpr modular& operator /= (const modular &rhs) noexcept { return (*this) *= rhs.inverse(); } constexpr bool zero() const noexcept { return value == 0; } constexpr bool operator == (const modular &rhs) const noexcept { return value == rhs.value; } constexpr bool operator != (const modular &rhs) const noexcept { return value != rhs.value; } friend std::ostream& operator << (std::ostream &stream, const modular &rhs) { return stream << rhs.value; } }; /** * @title Modint */ #line 53 "main.cpp" using i32 = int32_t; using i64 = int64_t; using u32 = uint32_t; using u64 = uint64_t; using m32 = modular<1000000007>; constexpr i32 inf32 = (i32(1) << 30) - 1; constexpr i64 inf64 = (i64(1) << 62) - 1; int main() { i32 N, M, K; std::cin >> N >> M >> K; std::vector P(M), Q(M), R(M); for (auto i: range(0, M)) { std::cin >> P[i] >> Q[i] >> R[i]; --P[i]; --Q[i]; } auto dp = gen_vec>({ N, K + 1 }); for (auto i: range(0, N)) { for (auto j: range(0, K + 1)) { dp[i][j].fill(m32(0)); } } dp[0][0].fill(m32(1)); for (auto i: range(0, N - 1)) { for (auto j: range(0, K + 1)) { for (auto k: range(0, M)) { if (j + R[k] <= K) { dp[i + 1][j + R[k]][Q[k]] += dp[i][j][P[k]]; } } } } m32 ans; for (auto k: range(0, 300)) { ans += dp[N - 1][K][k]; } std::cout << ans << '\n'; return 0; }