#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; typedef long long ll; typedef vector vi; typedef pair pii; #define MP make_pair #define PB push_back #define inf 1000000007 #define rep(i,n) for(int i = 0; i < (int)(n); ++i) #define all(x) (x).begin(),(x).end() template void Fill(A (&array)[N], const T &val){ std::fill( (T*)array, (T*)(array+N), val ); } template inline bool chmax(T &a, T b){ if(a inline bool chmin(T &a, T b){ if(a>b){ a = b; return true; } return false; } template class ModInt { private: unsigned int v; static unsigned int norm(const unsigned int& x){ return x < mod ? x : x - mod; } static ModInt make(const unsigned int& x){ ModInt m; return m.v = x, m; } static ModInt inv(const ModInt& x){ return make(inverse(x.v, mod)); } static unsigned int inverse(int a, int m){ int u[] = {a, 1, 0}, v[] = {m, 0, 1}, t; while(*v){ t = *u / *v; swap(u[0] -= t * v[0], v[0]), swap(u[1] -= t * v[1], v[1]), swap(u[2] -= t * v[2], v[2]); } return (u[1] % m + m) % m; } public: ModInt() : v{0}{} ModInt(const long long val) : v{norm(val % mod + mod)} {} ModInt(const ModInt& n) : v{n()} {} explicit operator bool() const noexcept { return v != 0; } bool operator!() const noexcept { return !static_cast(*this); } ModInt& operator=(const ModInt& n){ return v = n(), (*this); } ModInt& operator=(const long long val){ return v = norm(val % mod + mod), (*this); } ModInt operator+() const { return *this; } ModInt operator-() const { return v == 0 ? make(0) : make(mod - v); } ModInt operator+(const ModInt& val) const { return make(norm(v + val())); } ModInt operator-(const ModInt& val) const { return make(norm(v + mod - val())); } ModInt operator*(const ModInt& val) const { return make((long long)v * val() % mod); } ModInt operator/(const ModInt& val) const { return *this * inv(val); } ModInt& operator+=(const ModInt& val){ return *this = *this + val; } ModInt& operator-=(const ModInt& val){ return *this = *this - val; } ModInt& operator*=(const ModInt& val){ return *this = *this * val; } ModInt& operator/=(const ModInt& val){ return *this = *this / val; } ModInt operator+(const long long val) const { return ModInt{v + val}; } ModInt operator-(const long long val) const { return ModInt{v - val}; } ModInt operator*(const long long val) const { return ModInt{(long long)v * (val % mod)}; } ModInt operator/(const long long val) const { return ModInt{(long long)v * inv(val)}; } ModInt& operator+=(const long long val){ return *this = *this + val; } ModInt& operator-=(const long long val){ return *this = *this - val; } ModInt& operator*=(const long long val){ return *this = *this * val; } ModInt& operator/=(const long long val){ return *this = *this / val; } bool operator==(const ModInt& val) const { return v == val.v; } bool operator!=(const ModInt& val) const { return !(*this == val); } bool operator==(const long long val) const { return v == norm(val % mod + mod); } bool operator!=(const long long val) const { return !(*this == val); } unsigned int operator()() const { return v; } friend ModInt operator+(const long long val, const ModInt& n) { return n + val; } friend ModInt operator-(const long long val, const ModInt& n) { return ModInt{val - n()}; } friend ModInt operator*(const long long val, const ModInt& n) { return n * val; } friend ModInt operator/(const long long val, const ModInt& n) { return ModInt{val} / n; } friend bool operator==(const long long val, const ModInt& n) { return n == val; } friend bool operator!=(const long long val, const ModInt& n) { return !(val == n); } friend istream& operator>>(istream& is, ModInt& n){ unsigned int v; return is >> v, n = v, is; } friend ostream& operator<<(ostream& os, const ModInt& n){ return (os << n()); } friend ModInt mod_pow(ModInt x, long long n){ ModInt ans = 1; while(n){ if(n & 1) ans *= x; x *= x, n >>= 1; } return ans; } }; #define MOD 1000000007 using mod = ModInt; template class segtree { private: int n,sz,h; vector node, lazy_update, lazy_add; vector lazyFlag; public: segtree(vector v) : n(1), sz((int)v.size()), h(0){ while(n < sz) n *= 2, h++; node.resize(2*n, 0); lazy_update.resize(2*n, 0); lazyFlag.resize(2*n, false); lazy_add.resize(2*n, 1); for(int i = 0; i < sz; i++) node[i+n] = v[i]; for(int i=n-1; i>=1; i--) node[i] = node[2*i] + node[2*i+1]; } void eval(int k) { if(lazyFlag[k]){ lazy_update[k] *= lazy_add[k]; node[k] = lazy_update[k]; if(k < n) { lazy_add[2*k] = lazy_add[2*k+1] = 0; lazy_update[2*k] = lazy_update[2*k+1] = lazy_update[k] ; lazyFlag[2*k] = lazyFlag[2*k+1] = true; } lazy_add[k] = 1, lazyFlag[k] = false; }else if(lazy_add[k] != 0){ node[k] *= lazy_add[k]; if(k < n){ lazy_add[2*k] *= lazy_add[k]; lazy_add[2*k+1] *= lazy_add[k] ; } lazy_add[k] = 1; } } void update(int a, int b, T x, int k=1, int l=0, int r=-1) { if(r < 0) r = n; eval(k); if(b <= l || r <= a) return; if(a <= l && r <= b){ lazy_update[k] = x*(r-l); lazyFlag[k] = true; eval(k); }else{ update(a, b, x, 2*k, l, (l+r)/2); update(a, b, x, 2*k+1, (l+r)/2, r); node[k] = node[2*k] + node[2*k+1]; } } void add(int a, int b, T x, int k=1, int l=0, int r=-1){ if(r < 0) r = n; eval(k); if(b <= l || r <= a) return; if(a <= l && r <= b){ lazy_add[k] *= x; eval(k); }else{ add(a, b, x, 2*k, l, (l+r)/2); add(a, b, x, 2*k+1, (l+r)/2, r); node[k] = node[2*k] + node[2*k+1]; } } T query(int a, int b) { a += n, b += n - 1; for(int i = h; i > 0; i--) eval(a >> i), eval(b >> i); b++; T res1 = 0, res2 = 0; while(a < b) { if(a & 1) eval(a), res1 += node[a++]; if(b & 1) eval(--b), res2 += node[b]; a >>= 1, b >>= 1; } return res1 + res2; } void print(){for(int i = 0; i < sz; i++)cout<> n >> m; mod P = 1; rep(i,m){ int l,r,p; cin >> l >> r >> p; if(p!=0){ ng[l]++; ng[r+1]--; P *= 2; }else{ Q[r] = l; } } rep(i,n){ ng[i+1] += ng[i]; } vector v(n+1); v[0] = 1; segtree sg(v); for(int i=1;i<=n;i++){ if(ng[i]){ sg.add(0,i,2); }else{ sg.update(i,i+1,sg.query(0,i)); sg.add(0,i,2); } if(Q[i]!=0){ sg.update(0,Q[i],0); } // cerr << "test " << i << ": "; // sg.print(); } cout << sg.query(0,n+1) / P << endl; return 0; }