#include //#include //#pragma GCC optimize("Ofast") using namespace std; #define reps(i,s,n) for(int i = s; i < n; i++) #define rep(i,n) reps(i,0,n) #define Rreps(i,n,e) for(int i = n - 1; i >= e; --i) #define Rrep(i,n) Rreps(i,n,0) #define ALL(a) a.begin(), a.end() #define fi first #define se second typedef long long ll; typedef vector vec; typedef vector mat; ll N,M,H,W,Q,K,A,B; string S; typedef pair P; const ll INF = (1LL<<60); template bool chmin(T &a, const T &b){ if(a > b) {a = b; return true;} else return false; } template bool chmax(T &a, const T &b){ if(a < b) {a = b; return true;} else return false; } template class modint{ public: ll x; constexpr modint(){x = 0;} constexpr modint(ll _x) : x((_x < 0 ? ((_x += (LLONG_MAX / mod) * mod) < 0 ? _x + (LLONG_MAX / mod) * mod : _x) : _x)%mod){} constexpr modint operator-(){ return x == 0 ? 0 : mod - x; } constexpr modint& operator+=(const modint& a){ if((x += a.x) >= mod) x -= mod; return *this; } constexpr modint operator+(const modint& a) const{ return modint(*this) += a; } constexpr modint& operator-=(const modint& a){ if((x -= a.x) < 0) x += mod; return *this; } constexpr modint operator-(const modint& a) const{ return modint(*this) -= a; } constexpr modint& operator*=(const modint& a){ (x *= a.x)%=mod; return *this; } constexpr modint operator*(const modint& a) const{ return modint(*this) *= a; } constexpr modint pow(unsigned long long pw) const{ modint res(1), comp(*this); while(pw){ if(pw&1) res *= comp; comp *= comp; pw >>= 1; } return res; } //以下、modが素数のときのみ constexpr modint inv() const{ return modint(*this).pow(mod - 2); } constexpr modint& operator/=(const modint &a){ (x *= a.inv().x)%=mod; return *this; } constexpr modint operator/(const modint &a) const{ return modint(*this) /= a; } }; #define mod2 1000000007 using mint = modint; ostream& operator<<(ostream& os, const mint& a){ os << a.x; return os; } using vm = vector; int main() { cin>>N>>M; ll a_num(0); vec max_R(N + 2, -1), imos(N + 2, 0); vm dp(N + 2), sum(N + 2), two(N + 2, 1); rep(i,M){ int l, r, p; cin>>l>>r>>p; if(p != 0){ ++a_num; ++imos[l]; --imos[r + 1]; }else{ max_R[r + 1] = l; } } rep(i,N + 1) { chmax(max_R[i + 1], max_R[i]); imos[i + 1] += imos[i]; two[i + 1] = two[i] * 2; } dp[0].x = sum[0].x = 1; reps(i, 1, N + 2){ if(imos[i] > 0){ dp[i] = 0; }else{ dp[i] = sum[i - 1] - (max_R[i] ? sum[max_R[i] - 1] * two[i - max_R[i]] : 0); } sum[i] = sum[i - 1] * 2 + dp[i]; } //rep(i, N + 2) cout<