#include <iostream>
#include <vector>
using namespace std;

#define MOD 1000000007

#define CON_MAX 75
long long int inv[ CON_MAX ] = {};
long long int con[ CON_MAX ][ CON_MAX ];


long long int gx, gy, k;
vector< long long int > x, y, n;

long long int ans = 0;

void kansu( long long int a, vector< long long int > v, long long int px, long long int py ) {

  if ( a == k ) {
    if ( px == gx && py == gy ) {

      long long int ma = 0;
      long long int cnt = 1;
      for ( long long int i = 0; i < k; i++ ) {
	ma += v[i];
	cnt *= con[v[i]][ma];
	cnt %= MOD;
      }
      ans += cnt;

    }
    return;
  }

  for ( long long int i = 0; i <= n[a]; i++ ) {

    kansu( a + 1, v, px, py );
    px += x[a];
    py += y[a];
    v[a]++;

  }

  return;

}

int main() {

	inv[1] = 1;
	for ( long long int i = 2; i <= CON_MAX; i++ ) {
		inv[i] = MOD - ( MOD / i ) * inv[ MOD % i ] % MOD;
	}
	for ( long long int i = 0; i < CON_MAX; i++ ) {
		con[0][i] = 1;
		for ( long long int j = 1; j < CON_MAX; j++ ) {
			con[j][i] = con[j-1][i] * ( i - j + 1 );
			con[j][i] %= MOD;
			con[j][i] *= inv[j];
			con[j][i] %= MOD;
		}
	}

  cin >> gx >> gy >> k;

  vector< long long int > v;

  for ( long long int i = 0; i < k; i++ ) {
    long long int inx, iny, inn;
    cin >> inx >> iny >> inn;
    x.push_back( inx );
    y.push_back( iny );
    n.push_back( inn );
    v.push_back( 0 );
  }


  kansu( 0, v, 0, 0 );

  cout << ans << endl;

  return 0;

}