#include #include #define For(i, a, b) for (int i = (int)(a); i < (int)(b); ++i) #define rFor(i, a, b) for (int i = (int)(a)-1; i >= (int)(b); --i) #define rep(i, n) For(i, 0, (n)) #define rrep(i, n) rFor(i, (n), 0) #define fi first #define se second using namespace std; typedef long long lint; typedef unsigned long long ulint; typedef pair pii; typedef pair pll; template bool chmax(T &a, const T &b) { if (a < b) { a = b; return true; } return false; } template bool chmin(T &a, const T &b) { if (a > b) { a = b; return true; } return false; } template T div_floor(T a, T b) { if (b < 0) a *= -1, b *= -1; return a >= 0 ? a / b : (a + 1) / b - 1; } template T div_ceil(T a, T b) { if (b < 0) a *= -1, b *= -1; return a > 0 ? (a - 1) / b + 1 : a / b; } template struct coord_comp { vector v; bool sorted = false; coord_comp() {} int size() { return v.size(); } void add(T x) { v.push_back(x); } void build() { sort(v.begin(), v.end()); v.erase(unique(v.begin(), v.end()), v.end()); sorted = true; } int get_idx(T x) { assert(sorted); return lower_bound(v.begin(), v.end(), x) - v.begin(); } T &operator[](int i) { return v[i]; } }; constexpr lint mod = 1000000007; constexpr lint INF = mod * mod; constexpr int MAX = 200010; using namespace atcoder; using mint = modint1000000007; vector fact; vector revfact; void setfact(int n) { fact.resize(n + 1); revfact.resize(n + 1); fact[0] = 1; rep(i, n) fact[i + 1] = fact[i] * mint(i + 1); revfact[n] = fact[n].inv(); for (int i = n - 1; i >= 0; i--) revfact[i] = revfact[i + 1] * mint(i + 1); } mint getC(int n, int r) { if (n < r || r < 0) return 0; return fact[n] * revfact[r] * revfact[n - r]; } int dx[2] = {1, 0}; int dy[2] = {0, 1}; int main() { int n, m; scanf("%d%d", &n, &m); setfact(n * 2); vector> v; rep(i, m) { int t, x, y; scanf("%d%d%d", &t, &x, &y); --t; v.push_back({t, {x, y}}); } mint ans = getC(n * 2, n) * (n * 2); for (auto [t, p] : v) { auto [x, y] = p; int nx = x + dx[t], ny = y + dy[t]; ans -= getC(x + y, x) * getC(n * 2 - nx - ny, n - nx); } printf("%u\n", ans.val()); }