#include #include using namespace std; using namespace atcoder; using ll = long long; struct Edge { ll to; ll cost; }; using Graph = vector>; using P = pair; #define mp make_pair #define REP(i, n) for (int i = 0; i < (n); ++i) #define SORT(v) sort((v).begin(), (v).end()) #define RSORT(v) sort((v).rbegin(), (v).rend()) #define ALL(v) (v).begin(), v.end() const ll nmax = 8; const ll INF = 1e10; const int MAX = 510000; const ll MOD = 1000000007; bool graph[nmax][nmax]; long long fac[MAX], finv[MAX], inv[MAX]; void Case(int i) { printf("Case #%d: ", i); } void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++) { fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } ll COM(int n, int k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } vector> dist = vector>(nmax, vector(nmax, INF)); void warshall_floyd(ll n) { for (size_t i = 0; i < n; i++) { for (size_t j = 0; j < n; j++) { for (size_t k = 0; k < n; k++) { dist[j][k] = min(dist[j][k], dist[j][i] + dist[i][k]); } } } } ll gcd(ll a, ll b) { if (b == 0) return a; return gcd(b, a % b); } ll lcm(ll a, ll b) { ll g = gcd(a, b); return a / g * b; } ll mulMod(ll a, ll b) { return (((a % MOD) * (b % MOD)) % MOD); } ll powMod(ll a, ll p) { if (p == 0) { return 1; } else if (p % 2 == 0) { ll half = powMod(a, p / 2); return mulMod(half, half); } else { return mulMod(powMod(a, p - 1), a); } } ll ceil(ll a, ll b) { return (a + b - 1) / b; } bool isPrime(ll N) { for (int i = 2; i * i <= N; i++) { if (N % i == 0) return false; } return true; } ll cntbit(ll i) { if (i == 0) return 0; ll ret = 0; i++; while (i != 0) { i = i >> 1; ret++; } return ret - 1; } ll getSize(ll a) { ll ret = 0; while (a != 0) { ret++; a /= 10; } return ret; } vector> prime_factorize(long long N) { vector> res; for (long long a = 2; a * a <= N; ++a) { if (N % a != 0) continue; long long ex = 0; while (N % a == 0) { ++ex; N /= a; } res.push_back({a, ex}); } if (N != 1) res.push_back({N, 1}); return res; } using mint = modint1000000007; int main() { ll N, M; cin >> N >> M; mint ans; COMinit(); ans = COM(2 * N, N); ans *= 2; ans *= N; // cout << COM(0,0) << endl; for (int i = 0; i < M; i++) { ll t, x, y; cin >> t >> x >> y; mint tmp = COM(x + y, min(x, y)); if (t == 1) { tmp *= COM(2 * N - x - y - 1, min(N - x - 1, N - y)); } else { tmp *= COM(2 * N - x - y - 1, min(N - x, N - y - 1)); } ans -= tmp; } cout << ans.val() << endl; return 0; }