// {{{ Templates
#include <bits/stdc++.h>

#define show(x) cerr << #x << " = " << x << endl

using namespace std;
using ll = long long;
using pii = pair<int, int>;
using vi = vector<int>;

template <typename T>
ostream& operator<<(ostream& os, const vector<T>& v)
{
    os << "sz:" << v.size() << "\n[";
    for (const auto& p : v) {
        os << p << ",";
    }
    os << "]\n";
    return os;
}

template <typename S, typename T>
ostream& operator<<(ostream& os, const pair<S, T>& p)
{
    os << "(" << p.first << "," << p.second
       << ")";
    return os;
}


constexpr ll MOD = (ll)1e9 + 7LL;

template <typename T>
constexpr T INF = numeric_limits<T>::max() / 100;

// }}}

constexpr int MAX = 100;
ll combi[MAX + 1][MAX + 1];

ll comb(ll i, ll j, ll k, ll l, ll m)
{
    ll prod = 1;
    ll sum = i + j + k + l + m;
    prod = (prod * combi[sum][i]) % MOD;
    sum -= i;
    prod = (prod * combi[sum][j]) % MOD;
    sum -= j;
    prod = (prod * combi[sum][k]) % MOD;
    sum -= k;
    prod = (prod * combi[sum][l]) % MOD;
    return prod;
}

int main()
{
    cin.tie(0);
    ios::sync_with_stdio(false);

    combi[0][0] = 1;
    for (ll i = 1; i <= MAX; i++) {
        for (ll j = 0; j <= MAX; j++) {
            if (j == 0) {
                combi[i][j] = 1;
            } else {
                combi[i][j] = (combi[i - 1][j - 1] + combi[i - 1][j]) % MOD;
            }
        }
    }

    ll gx, gy;
    cin >> gx >> gy;
    ll k;
    cin >> k;
    array<ll, 5> x;
    array<ll, 5> y;
    array<ll, 5> num;
    for (ll i = 0; i < 5; i++) {
        if (i < k) {
            cin >> x[i] >> y[i] >> num[i];
        } else {
            x[i] = 0;
            y[i] = 0;
            num[i] = 0;
        }
    }

    ll cnt = 0;
    for (ll i = 0; i <= num[0]; i++) {
        const ll x0 = x[0] * i;
        const ll y0 = y[0] * i;
        for (ll j = 0; j <= num[1]; j++) {
            const ll x1 = x[1] * j;
            const ll y1 = y[1] * j;
            for (ll k = 0; k <= num[2]; k++) {
                const ll x2 = x[2] * k;
                const ll y2 = y[2] * k;
                for (ll l = 0; l <= num[3]; l++) {
                    const ll x3 = x[3] * l;
                    const ll y3 = y[3] * l;
                    for (ll m = 0; m <= num[4]; m++) {
                        const ll X = x0 + x1 + x2 + x3 + x[4] * m;
                        const ll Y = y0 + y1 + y2 + y3 + y[4] * m;
                        if (X == gx and Y == gy) {
                            cnt += comb(i, j, k, l, m);
                            cnt = cnt % MOD;
                        }
                    }
                }
            }
        }
    }

    cout << cnt << endl;

    return 0;
}