#ifdef ONLINE_JUDGE #pragma GCC target("avx2,avx") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #endif //#include //using namespace atcoder; //using mint = modint998244353; //using mint = modint1000000007; #include using namespace std; //#include //#include //using namespace __gnu_pbds; //using i128 = __int128_t; using ll = long long; using ull = unsigned long long; using pii = pair; using pll = pair; #define rep(i, n) for(int i = 0; i < (n); ++i) #define all(x) (x).begin(),(x).end() #define SZ(x) ((int)(x).size()) constexpr char ln = '\n'; template inline bool chmax(T1 &a, T2 b) {if (a < b) {a = b; return true;} return false;} template inline bool chmin(T1 &a, T2 b) {if (a > b) {a = b; return true;} return false;} inline int topbit(int x) {return x == 0 ? -1 : 31-__builtin_clz(x);} inline int topbit(long long x) {return x == 0 ? -1 : 63-__builtin_clzll(x);} inline int botbit(int x) {return x == 0 ? 32 : __builtin_ctz(x);} inline int botbit(long long x) {return x == 0 ? 64 : __builtin_ctzll(x);} inline int popcount(int x) {return __builtin_popcount(x);} inline int popcount(long long x) {return __builtin_popcountll(x);} inline int kthbit(long long x, int k) {return (x>>k)&1;} inline void print() {cout << "\n";} template inline void print(const vector &v) { for (auto itr = v.begin(); itr != v.end(); ++itr) cout << *itr << " "; print(); } template inline void print(const T &x, const Args &... args) { cout << x << " "; print(args...); } #ifdef MINATO_LOCAL #define dump(x) cerr << __LINE__ << " : " << #x << " = " << (x) << endl; inline void debug() {cerr << endl;} template inline void debug(const vector &v) { for (auto itr = v.begin(); itr != v.end(); ++itr) cerr << *itr << " "; debug(); } template inline void debug(const T &x, const Args &... args) { cerr << x << " "; debug(args...); } #else #define dump(x) void(0) inline void debug() {} template inline void debug(const vector &v) {} template inline void debug(const T &x, const Args &... args) {} #endif struct Fast_ios {Fast_ios() {cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20);};} fast_ios; //////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////// template struct ModInt { using u64 = uint_fast64_t; u64 a; constexpr ModInt(const long long x = 0) noexcept : a(x >= 0 ? x % Modulus : (Modulus - (-x) % Modulus) % Modulus) {} constexpr u64 &value() noexcept {return a;} constexpr const u64 &value() const noexcept {return a;} constexpr ModInt operator+(const ModInt rhs) const noexcept {return ModInt(*this) += rhs;} constexpr ModInt operator-(const ModInt rhs) const noexcept {return ModInt(*this) -= rhs;} constexpr ModInt operator*(const ModInt rhs) const noexcept {return ModInt(*this) *= rhs;} constexpr ModInt operator/(const ModInt rhs) const noexcept {return ModInt(*this) /= rhs;} constexpr ModInt operator^(const long long rhs) const noexcept {return ModInt(*this) ^= rhs;} constexpr bool operator==(const ModInt &rhs) const noexcept {return a == rhs.a;} constexpr bool operator!=(const ModInt &rhs) const noexcept {return a != rhs.a;} constexpr ModInt &operator+=(const ModInt rhs) noexcept { a += rhs.a; if (a >= Modulus) { a -= Modulus; } return *this; } constexpr ModInt &operator-=(const ModInt rhs) noexcept { if (a < rhs.a) { a += Modulus; } a -= rhs.a; return *this; } constexpr ModInt &operator*=(const ModInt rhs) noexcept { a = a * rhs.a % Modulus; return *this; } constexpr ModInt &operator/=(ModInt rhs) noexcept { u64 exp = Modulus - 2; while (exp) { if (exp&1) *this *= rhs; exp >>= 1; rhs *= rhs; } return *this; } constexpr ModInt &operator^=(long long exp) noexcept { ModInt rhs = a; a = 1; while (exp) { if (exp&1) *this *= rhs; exp >>= 1; rhs *= rhs; } return *this; } friend ostream &operator<<(ostream& os, const ModInt& rhs) noexcept {return os << rhs.a;} friend istream &operator>>(istream& is, ModInt& rhs) noexcept {long long a; is >> a; rhs = a; return is;} }; constexpr long long MOD = 1000000007; //constexpr long long MOD = 998244353; using mint = ModInt; template struct LazySegmentTree { private: F op; G mapping; H composition; T e; U id; int _n, size ,log; vector node; vector lazy; public: LazySegmentTree() {} LazySegmentTree(const F& op, const G& mapping, const H& composition, T e, U id, int n) : LazySegmentTree(op, mapping, composition, e, id, vector(n, e)) {} LazySegmentTree(const F& op, const G& mapping, const H& composition, T e, U id, const vector& v) : op(op), mapping(mapping), composition(composition), e(e), id(id), _n(int(v.size())), log(0) { while ((1<(2 * size, e); lazy = vector(size, id); for (int i = 0; i < _n; i++) node[size + i] = v[i]; for (int i = size - 1; i >= 1; i--) { update(i); } } void set(int p, T x) { assert(0 <= p && p < _n); p += size; for (int i = log; i >= 1; i--) push(p >> i); node[p] = x; for (int i = 1; i <= log; i++) update(p >> i); } // [l, r) (0-indexed) T get(int l, int r) { if (l >= r) return e; l += size; r += size; for (int i = log; i >= 1; i--) { if (((l >> i) << i) != l) push(l >> i); if (((r >> i) << i) != r) push(r >> i); } T sml = e, smr = e; while (l < r) { if (l & 1) sml = op(sml, node[l++]); if (r & 1) smr = op(node[--r], smr); l >>= 1; r >>= 1; } return op(sml, smr); } T all_get() { return node[1]; } void apply(int p, U val) { assert(0 <= p && p < _n); p += size; for (int i = log; i >= 1; i--) push(p >> i); node[p] = val == id ? node[p] : mapping(node[p], val); for (int i = 1; i <= log; i++) update(p >> i); } void apply(int l, int r, U val) { if (l >= r) return; l += size; r += size; for (int i = log; i >= 1; i--) { if (((l >> i) << i) != l) push(l >> i); if (((r >> i) << i) != r) push((r - 1) >> i); } { int l2 = l, r2 = r; while (l < r) { if (l & 1) all_apply(l++, val); if (r & 1) all_apply(--r, val); l >>= 1; r >>= 1; } l = l2; r = r2; } for (int i = 1; i <= log; i++) { if (((l >> i) << i) != l) update(l >> i); if (((r >> i) << i) != r) update((r - 1) >> i); } } template int max_right(int l, const C& check) { assert(0 <= l && l <= _n); assert(check(e)); if (l == _n) return _n; l += size; for (int i = log; i >= 1; i--) push(l >> i); T sm = e; do { while (~l & 1) l >>= 1; if (!check(op(sm, node[l]))) { while (l < size) { push(l); l = (2 * l); if (check(op(sm, node[l]))) { sm = op(sm, node[l]); l++; } } return l - size; } sm = op(sm, node[l]); l++; } while ((l & -l) != l); return _n; } template int min_left(int r, const C& check) { assert(0 <= r && r <= _n); assert(check(e)); if (r == 0) return 0; r += size; for (int i = log; i >= 1; i--) push((r - 1) >> i); T sm = e; do { r--; while (r > 1 && (r & 1)) r >>= 1; if (!check(op(node[r], sm))) { while (r < size) { push(r); r = (2 * r + 1); if (check(op(node[r], sm))) { sm = op(node[r], sm); r--; } } return r + 1 - size; } sm = op(node[r], sm); } while ((r & -r) != r); return 0; } T operator[](int p) { assert(0 <= p && p < _n); p += size; for (int i = log; i >= 1; i--) push(p >> i); return node[p]; } private: void update(int k) { node[k] = op(node[2 * k], node[2 * k + 1]); } void all_apply(int k, U val) { node[k] = val == id ? node[k] : mapping(node[k], val); if (k < size) lazy[k] = composition(lazy[k], val); } void push(int k) { if (lazy[k] == id) return; all_apply(2 * k, lazy[k]); all_apply(2 * k + 1, lazy[k]); lazy[k] = id; } }; int main() { int N,M; cin >> N >> M; vector A(N+1); vector R(N+1,pii(-1,-1)); int rank = 0; rep(i,M) { int l,r,p; cin >> l >> r >> p; l--; R[r] = pii(l,p); if (p != 0) { A[l]++; A[r]--; rank++; } } rep(i,N) A[i+1] += A[i]; mint ans = 2; int cnt = 0; rep(i,N) if (A[i]) cnt++; ans ^= (cnt-rank); auto f=[](mint a, mint b) {return a+b;}; auto g=[](mint a, mint b) {return a*b;}; const mint e = 0; const mint id = 1; LazySegmentTree seg(f,g,g,e,id,N+1); seg.set(0,1); rep(i,N) { if (A[i]==0) { seg.set(i+1,seg.get(0,i+1)); seg.apply(0,i+1,2); } if (R[i+1].second==0) { int l = R[i+1].first; seg.apply(0,l+1,0); } } ans *= seg.all_get(); cout << ans << ln; }