/* -*- coding: utf-8 -*- * * 1596.cc: No.1596 Distance Sum in 2D Plane - yukicoder */ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; /* constant */ const int MAX_N = 200000; const int MAX_N2 = MAX_N * 2; const int MOD = 1000000007; /* typedef */ typedef long long ll; /* global variables */ int fs[MAX_N2 + 1], invfs[MAX_N2 + 1]; /* subroutines */ int powmod(int a, int n) { // a^n % MOD int pm = 1; while (n > 0) { if (n & 1) pm = (ll)pm * a % MOD; a = (ll)a * a % MOD; n >>= 1; } return pm; } inline int nck(int n, int k) { // nCk % MOD return (ll)fs[n] * invfs[n - k] % MOD * invfs[k] % MOD; } void prepare_fracs(int n) { fs[0] = invfs[0] = 1; for (int i = 1; i <= n; i++) { fs[i] = (ll)fs[i - 1] * i % MOD; invfs[i] = powmod(fs[i], MOD - 2); } } /* main */ int main() { int n, m; scanf("%d%d", &n, &m); int n2 = n * 2; prepare_fracs(n2); int sum = 0; while (m--) { int ti, xi, yi; scanf("%d%d%d", &ti, &xi, &yi); int dx, dy; if (ti == 1) dx = n - (xi + 1), dy = n - yi; else dx = n - xi, dy = n - (yi + 1); sum = (sum + (ll)nck(xi + yi, xi) * nck(dx + dy, dx) % MOD) % MOD; } int ans = ((ll)n2 * nck(n2, n) % MOD + MOD - sum) % MOD; printf("%d\n", ans); return 0; }