#line 1 "yu.cpp" #include #line 5 "Library\\config.hpp" namespace config { const auto start_time{std::chrono::system_clock::now()}; int64_t elapsed() { using namespace std::chrono; const auto end_time{system_clock::now()}; return duration_cast(end_time - start_time).count(); } __attribute__((constructor)) void setup() { using namespace std; ios::sync_with_stdio(false); cin.tie(nullptr); cout << fixed << setprecision(15); #ifdef _buffer_check atexit([]{ ofstream cnsl("CON"); char bufc; if(cin >> bufc) cnsl << "\n\033[43m\033[30mwarning: buffer not empty.\033[0m\n\n"; }); #endif } unsigned cases(void), caseid = 1; template void main() { for(const unsigned total = cases(); caseid <= total; ++caseid) C(); } } // namespace config #line 3 "Library\\gcc_builtin.hpp" namespace workspace { constexpr int clz32(const uint32_t &n) noexcept { return __builtin_clz(n); } constexpr int clz64(const uint64_t &n) noexcept{ return __builtin_clzll(n); } constexpr int ctz(const uint64_t &n) noexcept { return __builtin_ctzll(n); } constexpr int popcnt(const uint64_t &n) noexcept { return __builtin_popcountll(n); } } // namespace workspace #line 2 "Library\\gcc_option.hpp" #ifdef ONLINE_JUDGE #pragma GCC optimize("O3") #pragma GCC target("avx,avx2") #pragma GCC optimize("unroll-loops") #endif #line 5 "Library\\utils\\binary_search.hpp" namespace workspace { // binary search on discrete range. template , bool>, std::nullptr_t> = nullptr> iter_type binary_search(iter_type ok, iter_type ng, pred_type pred) { assert(ok != ng); intmax_t dist(ng - ok); while(std::abs(dist) > 1) { iter_type mid(ok + dist / 2); if(pred(mid)) ok = mid, dist -= dist / 2; else ng = mid, dist /= 2; } return ok; } // binary search on real numbers. template , bool>, std::nullptr_t> = nullptr> real_type binary_search(real_type ok, real_type ng, const real_type eps, pred_type pred) { assert(ok != ng); while(std::abs(ok - ng) > eps) { real_type mid{(ok + ng) / 2}; (pred(mid) ? ok : ng) = mid; } return ok; } } // namespace workspace #line 3 "Library\\utils\\casefmt.hpp" namespace workspace { std::ostream &casefmt(std::ostream& os) { return os << "Case #" << config::caseid << ": "; } } // namespace workspace #line 3 "Library\\utils\\chval.hpp" namespace workspace { template > bool chle(T &x, const T &y, Comp comp = Comp()) { return comp(y, x) ? x = y, true : false; } template > bool chge(T &x, const T &y, Comp comp = Comp()) { return comp(x, y) ? x = y, true : false; } } // namespace workspace #line 3 "Library\\utils\\fixed_point.hpp" namespace workspace { // specify the return type of lambda. template class fixed_point { lambda_type func; public: fixed_point(lambda_type &&f) : func(std::move(f)) {} template auto operator()(Args &&... args) const { return func(*this, std::forward(args)...); } }; } // namespace workspace #line 2 "Library\\utils\\sfinae.hpp" #include template class trait> using enable_if_trait_type = typename std::enable_if::value>::type; template using element_type = std::remove_const_t()))>>; #line 7 "Library\\utils\\hash.hpp" namespace workspace { template struct hash : std::hash {}; template struct hash> { size_t operator()(uint64_t x) const { static const uint64_t m = std::random_device{}(); x ^= x >> 23; // x *= 0x2127599bf4325c37ULL; x ^= m; x ^= x >> 47; return x - (x >> 32); } }; template size_t hash_combine(const size_t &seed, const Key &key) { return seed ^ (hash()(key) + 0x9e3779b9 /* + (seed << 6) + (seed >> 2) */ ); } template struct hash> { size_t operator()(const std::pair &pair) const { return hash_combine(hash()(pair.first), pair.second); } }; template class hash> { template ::value - 1> struct tuple_hash { static uint64_t apply(const Tuple &t) { return hash_combine(tuple_hash::apply(t), std::get(t)); } }; template struct tuple_hash { static uint64_t apply(const Tuple &t) { return 0; } }; public: uint64_t operator()(const std::tuple &t) const { return tuple_hash>::apply(t); } }; template struct hash_table_wrapper : hash_table { using key_type = typename hash_table::key_type; size_t count(const key_type &key) const { return hash_table::find(key) != hash_table::end(); } template auto emplace(Args&&... args) { return hash_table::insert(typename hash_table::value_type(args...)); } }; template using cc_hash_table = hash_table_wrapper<__gnu_pbds::cc_hash_table>>; template using gp_hash_table = hash_table_wrapper<__gnu_pbds::gp_hash_table>>; template using unordered_map = std::unordered_map>; template using unordered_set = std::unordered_set>; } // namespace workspace #line 3 "Library\\utils\\iostream_overload.hpp" namespace std { template istream &operator>>(istream &is, pair &p) { return is >> p.first >> p.second; } template ostream &operator<<(ostream &os, const pair &p) { return os << p.first << ' ' << p.second; } template struct tuple_is { static istream &apply(istream &is, tuple_t &t) { tuple_is::apply(is, t); return is >> get(t); } }; template struct tuple_is { static istream &apply(istream &is, tuple_t &t) { return is; } }; template istream &operator>>(istream &is, tuple &t) { return tuple_is, tuple_size>::value - 1>::apply(is, t); } template struct tuple_os { static ostream &apply(ostream &os, const tuple_t &t) { tuple_os::apply(os, t); return os << ' ' << get(t); } }; template struct tuple_os { static ostream &apply(ostream &os, const tuple_t &t) { return os << get<0>(t); } }; template struct tuple_os { static ostream &apply(ostream &os, const tuple_t &t) { return os; } }; template ostream &operator<<(ostream &os, const tuple &t) { return tuple_os, tuple_size>::value - 1>::apply(os, t); } template , string>::value, nullptr_t> = nullptr> istream& operator>>(istream& is, Container &cont) { for(auto&& e : cont) is >> e; return is; } template , string>::value, nullptr_t> = nullptr> ostream& operator<<(ostream& os, const Container &cont) { bool flag = 1; for(auto&& e : cont) flag ? flag = 0 : (os << ' ', 0), os << e; return os; } } // namespace std #line 3 "Library\\utils\\read.hpp" namespace workspace { // read with std::cin. template struct read { typename std::remove_const::type value; template read(types... args) : value(args...) { std::cin >> value; } operator T() const { return value; } }; template <> struct read { template operator T() const { T value; std::cin >> value; return value; } }; } // namespace workspace #line 13 "yu.cpp" namespace workspace { constexpr char eol = '\n'; using namespace std; using i64 = int_least64_t; using p32 = pair; using p64 = pair; template > using priority_queue = std::priority_queue, Comp>; template using stack = std::stack>; struct solver; } // namespace workspace int main() { config::main(); } unsigned config::cases() { // return -1; // not specify // int t; std::cin >> t; return t; // given return 1; } #line 4 "Library\\data_structure\\union_find\\basic.hpp" struct union_find { union_find(const size_t &n = 0) : link(n, -1) {} size_t find(const size_t &x) { assert(x < size()); return link[x] < 0 ? x : (link[x] = find(link[x])); } size_t size() const { return link.size(); } size_t size(const size_t &x) { assert(x < size()); return -link[find(x)]; } bool same(const size_t &x, const size_t &y) { assert(x < size() && y < size()); return find(x) == find(y); } virtual bool unite(size_t x, size_t y) { assert(x < size() && y < size()); x = find(x), y = find(y); if(x == y) return false; if(link[x] > link[y]) std::swap(x, y); link[x] += link[y]; link[y] = x; return true; } protected: std::vector link; }; // class union_find #line 5 "Library\\graph\\directed\\strongly_connected_components.hpp" struct strongly_connected_components { strongly_connected_components(size_t n) : graph(n), low(n), made() {} // add an edge from the vertex s to the vertex t. void add_edge(size_t src, size_t dst) { assert(src < size()); assert(dst < size()); graph[src].emplace_back(dst); made = false; } // the number of the components. size_t count() { make(); return comp_cnt; } size_t size() const { return graph.size(); } // the component which the vertex v belongs to. size_t operator[](size_t v) { make(); return low[v]; } // the directed acyclic graph consisting of the components. const std::vector> &shrinked_dag() { make(); return dag; } protected: std::vector> graph, dag; std::vector low; size_t comp_cnt; bool made; void make() { if(made) return; made = true, comp_cnt = 0; low.assign(size(), 0); size_t *itr = new size_t[size()]; bool *const used = new bool[size()]; for(size_t v{}, c{}; v != size(); ++v) affix(v, c, itr, used + size()); delete[] itr; delete[] used; for(auto &e : low) e += comp_cnt; reverse(begin(dag), end(dag)); for(auto &arcs : dag) for(auto &to : arcs) to += comp_cnt; } size_t affix(size_t src, size_t &c, size_t* &itr, bool *used) { if(low[src]) return low[src]; size_t idx = ++c; low[src] = idx; *itr++ = src; for(size_t dst : graph[src]) low[src] = std::min(low[src], affix(dst, c, itr, used)); if(low[src] == idx) { ++comp_cnt; used[-comp_cnt] = true; dag.emplace_back(0); auto srcp = itr; do { low[*--srcp] = -comp_cnt; } while(*srcp != src); while(itr != srcp) { auto now = *--itr; for(auto to : graph[now]) { if(!used[(int)low[to]]) { dag.back().emplace_back(low[to]); used[(int)low[to]] = true; } } } for(int c : dag.back()) used[c] = false; used[-comp_cnt] = false; return idx; } return low[src]; } }; // class strongly_connected_components #line 4 "Library\\modulus\\modint.hpp" template // compile-time defined modulo. struct modint { static_assert(mod > 0); template struct modif { using value_type = int_least32_t; }; template struct modif { using value_type = int_least64_t; }; using value_type = typename modif::value_type; constexpr static modint one() noexcept { return 1; } constexpr operator value_type() const noexcept { return value; } constexpr modint() noexcept = default; template ::value, std::nullptr_t> = nullptr> constexpr modint(int_type n) noexcept : value((n %= mod) < 0 ? mod + n : n) {} constexpr modint operator++(int) noexcept { modint t{*this}; return operator+=(1), t; } constexpr modint operator--(int) noexcept { modint t{*this}; return operator-=(1), t; } constexpr modint &operator++() noexcept { return operator+=(1); } constexpr modint &operator--() noexcept { return operator-=(1); } constexpr modint operator-() const noexcept { return value ? mod - value : 0; } constexpr modint &operator+=(const modint &rhs) noexcept { return (value += rhs.value) < mod ? 0 : value -= mod, *this; } constexpr modint &operator-=(const modint &rhs) noexcept { return (value += mod - rhs.value) < mod ? 0 : value -= mod, *this; } constexpr modint &operator*=(const modint &rhs) noexcept { return value = (int_fast64_t)value * rhs.value % mod, *this; } constexpr modint &operator/=(const modint &rhs) noexcept { return operator*=(rhs.inverse()); } template ::value, std::nullptr_t> = nullptr> constexpr modint operator+(const int_type &rhs) const noexcept { return modint{*this} += rhs; } constexpr modint operator+(const modint &rhs) const noexcept { return modint{*this} += rhs; } template ::value, std::nullptr_t> = nullptr> constexpr modint operator-(const int_type &rhs) const noexcept { return modint{*this} -= rhs; } constexpr modint operator-(const modint &rhs) const noexcept { return modint{*this} -= rhs; } template ::value, std::nullptr_t> = nullptr> constexpr modint operator*(const int_type &rhs) const noexcept { return modint{*this} *= rhs; } constexpr modint operator*(const modint &rhs) const noexcept { return modint{*this} *= rhs; } template ::value, std::nullptr_t> = nullptr> constexpr modint operator/(const int_type &rhs) const noexcept { return modint{*this} /= rhs; } constexpr modint operator/(const modint &rhs) const noexcept { return modint{*this} /= rhs; } template ::value, std::nullptr_t> = nullptr> constexpr friend modint operator+(const int_type &lhs, const modint &rhs) noexcept { return modint(lhs) + rhs; } template ::value, std::nullptr_t> = nullptr> constexpr friend modint operator-(const int_type &lhs, const modint &rhs) noexcept { return modint(lhs) - rhs; } template ::value, std::nullptr_t> = nullptr> constexpr friend modint operator*(const int_type &lhs, const modint &rhs) noexcept { return modint(lhs) * rhs; } template ::value, std::nullptr_t> = nullptr> constexpr friend modint operator/(const int_type &lhs, const modint &rhs) noexcept { return modint(lhs) / rhs; } constexpr modint inverse() const noexcept { assert(value); value_type a{mod}, b{value}, u{}, v{1}, t{}; while(b) t = a / b, a ^= b ^= (a -= t * b) ^= b, u ^= v ^= (u -= t * v) ^= v; return {u}; } constexpr static modint pow(modint rhs, int_fast64_t e) noexcept { if(e < 0) e = e % (mod - 1) + mod - 1; modint res{1}; while(e) { if(e & 1) res *= rhs; rhs *= rhs, e >>= 1; } return res; } friend std::ostream &operator<<(std::ostream &os, const modint &rhs) noexcept { return os << rhs.value; } friend std::istream &operator>>(std::istream &is, modint &rhs) noexcept { int_fast64_t value; rhs = (is >> value, value); return is; } protected: value_type value = 0; }; // class modint template <> // runtime defined modulo as default(mod = 0). struct modint<0> { using value_type = int_fast64_t; static value_type &mod() noexcept { static value_type mod{}; return mod; } static modint one() noexcept { return 1; } operator value_type() const noexcept { return value; } modint() noexcept = default; template ::value, std::nullptr_t> = nullptr> modint(int_type n) noexcept : value{ (assert(mod()), n %= mod() < 0 ? n + mod() : n) } {} modint operator++(int) noexcept { modint t{*this}; return operator+=(1), t; } modint operator--(int) noexcept { modint t{*this}; return operator-=(1), t; } modint &operator++() noexcept { return operator+=(1); } modint &operator--() noexcept { return operator-=(1); } modint operator-() const noexcept { return value ? mod() - value : 0; } modint &operator+=(const modint &rhs) noexcept { return (value += rhs.value) < mod() ? 0 : value -= mod(), *this; } modint &operator-=(const modint &rhs) noexcept { return (value += mod() - rhs.value) < mod() ? 0 : value -= mod(), *this; } modint &operator*=(const modint &rhs) noexcept { return (value *= rhs.value) %= mod(), *this; } modint &operator/=(const modint &rhs) noexcept { return operator*=(rhs.inverse()); } template ::value, std::nullptr_t> = nullptr> modint operator+(const int_type &rhs) const noexcept { return modint{*this} += rhs; } modint operator+(const modint &rhs) const noexcept { return modint{*this} += rhs; } template ::value, std::nullptr_t> = nullptr> modint operator-(const int_type &rhs) const noexcept { return modint{*this} -= rhs; } modint operator-(const modint &rhs) const noexcept { return modint{*this} -= rhs; } template ::value, std::nullptr_t> = nullptr> modint operator*(const int_type &rhs) const noexcept { return modint{*this} *= rhs; } modint operator*(const modint &rhs) const noexcept { return modint{*this} *= rhs; } template ::value, std::nullptr_t> = nullptr> modint operator/(const int_type &rhs) const noexcept { return modint{*this} /= rhs; } modint operator/(const modint &rhs) const noexcept { return modint{*this} /= rhs; } template ::value, std::nullptr_t> = nullptr> friend modint operator+(const int_type &lhs, const modint &rhs) noexcept { return modint(lhs) + rhs; } template ::value, std::nullptr_t> = nullptr> friend modint operator-(const int_type &lhs, const modint &rhs) noexcept { return modint(lhs) - rhs; } template ::value, std::nullptr_t> = nullptr> friend modint operator*(const int_type &lhs, const modint &rhs) noexcept { return modint(lhs) * rhs; } template ::value, std::nullptr_t> = nullptr> friend modint operator/(const int_type &lhs, const modint &rhs) noexcept { return modint(lhs) / rhs; } modint inverse() const noexcept { assert(mod() && value); value_type a{mod()}, b{value}, u{}, v{1}, t{}; while(b) t = a / b, a ^= b ^= (a -= t * b) ^= b, u ^= v ^= (u -= t * v) ^= v; return {u}; } static modint pow(modint rhs, int_fast64_t e) noexcept { if(e < 0) e = e % (mod() - 1) + mod() - 1; modint res{1}; while(e) { if(e & 1) res *= rhs; rhs *= rhs, e >>= 1; } return res; } friend std::ostream &operator<<(std::ostream &os, const modint &rhs) noexcept { return os << rhs.value; } friend std::istream &operator>>(std::istream &is, modint &rhs) noexcept { int_fast64_t value; rhs = modint((is >> value, value)); return is; } protected: value_type value = 0; }; // class modint<0> using modint_runtime = modint<0>; #line 35 "yu.cpp" struct workspace::solver { using mint = modint<1000000007>; solver() { // start here! int n, m; cin >> n >> m; vector same, diff; vector zero(n + 1, 0); for (int i = 0; i < m; i++) { int l, r, p; cin >> l >> r >> p; if (p) { if (p > 0) same.emplace_back(l - 1, r); else diff.emplace_back(l - 1, r); } else { zero[r - 1] = l; } } vector nonz(1 + n); for (auto [l, r] : same) { nonz[l]++; nonz[r]--; } for (auto [l, r] : diff) { nonz[l]++; nonz[r]--; } partial_sum(begin(nonz), end(nonz), begin(nonz)); mint ans{1}; // 0-exclusive { int cnt = 0; for (int i = 0; i < n; i++) { if (nonz[i]) { cnt++; } } cnt -= size(same); cnt -= size(diff); ans = mint::pow(2, cnt); } // 0 can exist { mint acc; vector dp(n + 1); acc = dp[0] = 1; for (int i = 0, j = 0; i < n; i++) { if (!nonz[i]) { dp[i + 1] = acc; acc *= 2; } while (j < zero[i]) { acc -= dp[j]; j++; } } ans *= acc; } cout << ans << eol; } };