#include <cstdio>
#include <cstdlib>
#include <cmath>
#include <cstring>

#include <iostream>
#include <string>
#include <algorithm>
#include <vector>
#include <queue>
#include <stack>
#include <map>
#include <set>
#include <unordered_map>
#include <unordered_set>

#include <functional>
#include <cassert>

typedef long long ll;
using namespace std;

#define debug(x) cerr << #x << " = " << (x) << endl;


#define mod 1000000007 //1e9+7(prime number)
#define INF 1000000000 //1e9
#define LLINF 2000000000000000000LL //2e18
#define SIZE 100010

int gx, gy, k;
int x[5],y[5],n[5];

int his[5];

ll power(int k,int n,int M){
  if(n==0) return 1;
  if(n==1) return (ll)k;
  
  ll ret = power(k,n/2,M);
  
  ret=(ret*ret)%M;
  
  if(n%2==1)
    ret=(ret*k)%M;
  
  return ret;
}

ll fac[15*5+1], faci[15*5+1];


void init(){
  fac[0] = 1;
  faci[0] = 1;
  
  for(int i=1;i<=15*5;i++){
    fac[i] = (fac[i-1] * i)%mod;

    faci[i] = power(fac[i],mod-2, mod);
  }
  
}

ll dfs(int h, int cx, int cy){
  ll res = 0;
  
  if(h == k){
    if(cx != gx || cy != gy) return 0;
    
    int sum = 0;
    for(int i=0;i<k;i++){
      sum += his[i];
    }
    
    res = fac[sum];

    for(int i=0;i<k;i++){
      res = (res * faci[his[i]])%mod;
    }
    
    return res;
  }

  for(int i=0;i<=n[h];i++){
    his[h] = i;
    res = (res + dfs(h+1, cx + x[h]*i, cy + y[h]*i))%mod;
  }

  return res;
}


int main(){

  init();
  
  scanf("%d%d%d",&gx,&gy,&k);

  for(int i=0;i<k;i++){
    scanf("%d%d%d",x+i,y+i,n+i);
  }

  printf("%lld\n",dfs(0,0,0));
  
  return 0;
}