import std.conv, std.functional, std.range, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.bitmanip, std.complex, std.container, std.math, std.mathspecial, std.numeric, std.regex, std.typecons; import core.bitop; class EOFException : Throwable { this() { super("EOF"); } } string[] tokens; string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; } int readInt() { return readToken.to!int; } long readLong() { return readToken.to!long; } real readReal() { return readToken.to!real; } bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } } bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } } int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; } int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); } int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); } struct ModInt(int M_) { import std.conv : to; alias M = M_; int x; this(ModInt a) { x = a.x; } this(long a) { x = cast(int)(a % M); if (x < 0) x += M; } ref ModInt opAssign(long a) { return (this = ModInt(a)); } ref ModInt opOpAssign(string op)(ModInt a) { static if (op == "+") { x += a.x; if (x >= M) x -= M; } else static if (op == "-") { x -= a.x; if (x < 0) x += M; } else static if (op == "*") { x = cast(int)((cast(long)(x) * a.x) % M); } else static if (op == "/") { this *= a.inv(); } else static assert(false); return this; } ref ModInt opOpAssign(string op)(long a) { static if (op == "^^") { if (a < 0) return (this = inv()^^(-a)); ModInt t2 = this, te = ModInt(1); for (long e = a; e > 0; e >>= 1) { if (e & 1) te *= t2; t2 *= t2; } x = cast(int)(te.x); return this; } else return mixin("this " ~ op ~ "= ModInt(a)"); } ModInt inv() const { int a = x, b = M, y = 1, z = 0, t; for (; ; ) { t = a / b; a -= t * b; if (a == 0) { assert(b == 1 || b == -1); return ModInt(b * z); } y -= t * z; t = b / a; b -= t * a; if (b == 0) { assert(a == 1 || a == -1); return ModInt(a * y); } z -= t * y; } } ModInt opUnary(string op: "-")() const { return ModInt(-x); } ModInt opBinary(string op, T)(T a) const { return mixin("ModInt(this) " ~ op ~ "= a"); } ModInt opBinaryRight(string op)(long a) const { return mixin("ModInt(a) " ~ op ~ "= this"); } bool opCast(T: bool)() const { return (x != 0); } string toString() const { return x.to!string; } } enum MO = 10^^9 + 7; alias Mint = ModInt!MO; // T, S: monoid // opTT: T * T -> T // opST: S * T * int -> T // (s t_a) ... (s t_{b-1}) = opST(s, t_a ... t_{b-1}, b - a) // opSS: S * S -> S // query(a, b, s): t_a <- s t_a, ..., t_{b-1} <- s t_{b-1}; // returns t_a ... t_{b-1} class SegmentTree(T, S, alias opTT, alias opST, alias opSS) { import std.functional : binaryFun; alias opTTFun = binaryFun!opTT; alias opSTFun = opST; alias opSSFun = binaryFun!opSS; const(T) idT; const(S) idS; int n; T[] ts; S[] ss; this(int n_, const(T) idT, const(S) idS) { this.idT = idT; this.idS = idS; for (n = 1; n < n_; n <<= 1) {} ts = new T[n << 1]; ss = new S[n << 1]; ts[] = idT; ss[] = idS; } ref T at(int a) { return ts[n + a]; } void build() { foreach_reverse (a; 1 .. n) ts[a] = opTTFun(ts[a << 1], ts[a << 1 | 1]); } T query(int a, int b, const(S) s) { return query(1, 0, n, a, b, s); } private: T query(int u, int l, int r, int a, int b, const(S) s) { if (a < l) a = l; if (b > r) b = r; if (a >= b) return idT; if (a == l && b == r) { ts[u] = opSTFun(s, ts[u], r - l); ss[u] = opSSFun(s, ss[u]); return ts[u]; } const int uL = u << 1, uR = u << 1 | 1; const int mid = (l + r) >> 1; // speed-up: if (ss[u] != idS) { ts[uL] = opSTFun(ss[u], ts[uL], mid - l); ts[uR] = opSTFun(ss[u], ts[uR], r - mid); ss[uL] = opSSFun(ss[u], ss[uL]); ss[uR] = opSSFun(ss[u], ss[uR]); ss[u] = idS; } const T resL = query(uL, l, mid, a, b, s); const T resR = query(uR, mid, r, a, b, s); ts[u] = opTTFun(ts[uL], ts[uR]); return opTTFun(resL, resR); } } void main() { alias Affine = Tuple!(Mint, "b", Mint, "c"); const opTT = (Mint t0, Mint t1) { return t0 + t1; }; const opST = (Affine s, Mint t, int sz) { return s.b * t + s.c * sz; }; const opSS = (Affine s0, Affine s1) { return Affine(s0.b * s1.b, s0.b * s1.c + s0.c); }; enum ID_S = Affine(Mint(1), Mint(0)); try { for (; ; ) { const N = readInt(); const M = readInt(); auto L = new int[M]; auto R = new int[M]; auto P = new int[M]; foreach (i; 0 .. M) { L[i] = readInt() - 1; R[i] = readInt(); P[i] = readInt(); } auto cons = new int[N + 1]; cons[] = -1; foreach (i; 0 .. M) { cons[R[i]] = i; } auto seg = new SegmentTree!(Mint, Affine, "a + b", (s, t, sz) => s.b * t + s.c * sz, (s0, s1) => Affine(s0.b * s1.b, s0.b * s1.c + s0.c)) (N + 1, Mint(0), Affine(Mint(1), Mint(0))); seg.query(0, 1, Affine(Mint(1), Mint(1))); foreach (x; 0 .. N) { const all = seg.query(0, x + 1, ID_S); const i = cons[x + 1]; if (i == -1) { seg.query(0, x + 1, Affine(Mint(2), Mint(0))); seg.query(x + 1, x + 2, Affine(Mint(1), all)); } else if (P[i] == 0) { seg.query(0, L[i] + 1, Affine(Mint(0), Mint(0))); seg.query(L[i] + 1, x + 1, Affine(Mint(2), Mint(0))); seg.query(x + 1, x + 2, Affine(Mint(1), all)); } else { seg.query(L[i] + 1, x + 1, Affine(Mint(0), Mint(0))); } } const ans = seg.query(0, N + 1, ID_S); writeln(ans); } } catch (EOFException e) { } }