#include #include using namespace std; using ll = long long; #define int ll #define rng(i, a, b) for (int i = int(a); i < int(b); i++) #define rep(i, b) rng(i, 0, b) #define ALL(a) (a).begin(), (a).end() template void chmax(t& a, u b) { if (a < b) a = b; } template void chmin(t& a, u b) { if (b < a) a = b; } template using vc = vector; template using vvc = vc>; using pi = pair; using vi = vc; using uint = unsigned; using ull = unsigned long long; int popcount(signed t) { return __builtin_popcount(t); } int popcount(ll t) { return __builtin_popcountll(t); } bool ispow2(int i) { return i && (i & -i) == i; } ll mask(int i) { return (ll(1) << i) - 1; } int lcm(int a, int b) { return a / __gcd(a, b) * b; } using mint = atcoder::modint1000000007; vc fact(1LL << 20), factinv(1LL << 20); mint ncr(int n, int r) { return (fact[n] * factinv[r]) * factinv[n - r]; } mint npr(int n, int r) { return fact[n] * factinv[n - r]; } signed main() { cin.tie(0); ios::sync_with_stdio(0); cout << fixed << setprecision(20); int n, m; cin >> n >> m; fact[0] = 1; for (int i = 1; i <= 100100; i++) fact[i] = fact[i - 1] * i; for (int i = 0; i <= 100100; i++) factinv[i] = fact[i].inv(); mint ans = 0; map mp; rep(i, m) { int t, x, y; cin >> t >> x >> y; mp[make_pair(x, y)] = t; } for (int i = 0; i <= n; i++) { for (int j = 0; j <= n; j++) { mint now = 0; if (i < n) { // yoko:=2 if (mp[pi(i, j)] != 2) { now += ncr(i + j, i) * ncr(2 * n - (i + 1 + j), n - j); } } if (j < n) { // tate:=1 if (mp[pi(i, j)] != 1) { now += ncr(i + j, i) * ncr(2 * n - (i + 1 + j), n - i); } } ans += now; } } cout << ans.val() << endl; }