using System; using System.Collections.Generic; using System.Linq; class F { const long M = 1000000007; static int[] Read() => Array.ConvertAll(Console.ReadLine().Split(), int.Parse); static (int, int) Read2() { var a = Read(); return (a[0], a[1]); } static (int t, int x, int y) Read3() { var a = Read(); return (a[0], a[1], a[2]); } static long[] ReadL() => Array.ConvertAll(Console.ReadLine().Split(), long.Parse); static void Main() => Console.WriteLine(Solve()); static object Solve() { var (n, m) = Read2(); var ps = Array.ConvertAll(new bool[m], _ => Read3()); var d = ps.ToDictionary(p => (p.x, p.y), p => p.t); var r = 0L; var mc = new MCombination(2 * n); // t == 1 for (int i = 0; i < n; i++) { for (int j = 0; j <= n; j++) { if (d.ContainsKey((i, j)) && d[(i, j)] == 1) continue; r += mc.MNcr(i + j, i) * mc.MNcr(2 * n - i - j - 1, n - j); r %= M; } } // t == 2 for (int i = 0; i <= n; i++) { for (int j = 0; j < n; j++) { if (d.ContainsKey((i, j)) && d[(i, j)] == 2) continue; r += mc.MNcr(i + j, i) * mc.MNcr(2 * n - i - j - 1, n - i); r %= M; } } return r; } } public class MCombination { //const long M = 998244353; const long M = 1000000007; static long MPow(long b, long i) { long r = 1; for (; i != 0; b = b * b % M, i >>= 1) if ((i & 1) != 0) r = r * b % M; return r; } static long MInv(long x) => MPow(x, M - 2); static long[] MFactorials(int n) { var f = new long[n + 1]; f[0] = 1; for (int i = 1; i <= n; ++i) f[i] = f[i - 1] * i % M; return f; } // nPr, nCr を O(1) で求めるため、階乗を O(n) で求めておきます。 long[] f, f_; public MCombination(int nMax) { f = MFactorials(nMax); f_ = Array.ConvertAll(f, MInv); } public long MFactorial(int n) => f[n]; public long MInvFactorial(int n) => f_[n]; public long MNpr(int n, int r) => n < r ? 0 : f[n] * f_[n - r] % M; public long MNcr(int n, int r) => n < r ? 0 : f[n] * f_[n - r] % M * f_[r] % M; // nMax >= 2n としておく必要があります。 public long MCatalan(int n) => f[2 * n] * f_[n] % M * f_[n + 1] % M; }