use std::collections::HashMap;

const MOD: usize = 1e9 as usize + 7;

fn fact_inv(size: usize) -> (Vec<usize>, Vec<usize>) {
    let mut facts = vec![0usize; size+1];
    let mut fact_invs = vec![0usize; size+1];
    let mut invs = vec![0usize; size+1];
    facts[0] = 1;
    facts[1] = 1;
    fact_invs[0] = 1;
    fact_invs[1] = 1;
    invs[1] = 1;
    for i in 2..=size {
        facts[i] = facts[i-1] * i % MOD;
        invs[i] = MOD - invs[MOD % i] * (MOD / i) % MOD;
        fact_invs[i] = fact_invs[i - 1] * invs[i] % MOD;
    }
    (facts, fact_invs)
}

fn comb(n: usize, r: usize, facts: &Vec<usize>, fact_invs: &Vec<usize>) -> usize {
    facts[n] * fact_invs[r] % MOD * fact_invs[n-r] % MOD
}

fn main() {
    let mut temp = String::new();
    std::io::stdin().read_line(&mut temp).ok();
    let temp: Vec<isize> = temp.trim().split_whitespace().map(|s| s.parse().unwrap()).collect();
    let gx = temp[0];
    let gy = temp[1];
    let k = temp[2] as usize;
    let queries = (0..k).map(|_| {
            let mut temp = String::new();
            std::io::stdin().read_line(&mut temp).ok();
            let temp: Vec<isize> = temp.trim().split_whitespace().map(|s| s.parse().unwrap()).collect();
            (temp[0], temp[1], temp[2] as usize)
        })
        .collect::<Vec<_>>();

    let mut mapping: HashMap<(isize, isize), Vec<Vec<usize>>> = HashMap::new();
    mapping.insert((0isize, 0isize), vec![vec![]]);
    for idx in 0..k {
        let (ax, ay, n) = queries[idx];
        let mut next_map = HashMap::new();
        for (&(x, y), v) in mapping.iter() {
            for vv in v.iter() {
                for i in 0..=n {
                    let mut nvv = vv.clone().to_owned();
                    nvv.push(i);
                    let np = (x + i as isize * ax, y + i as isize * ay);
                    next_map.entry(np).or_insert(vec![]).push(nvv);
                }
            }
        }
        mapping = next_map;
    }
    let (facts, fact_invs) = fact_inv(100);
    let mut result = 0usize;
    if let Some(v) = mapping.get(&(gx, gy)) {
        for vv in v.iter() {
            let mut summary = vv.iter().sum::<usize>();
            let mut pat = 1usize;
            for &val in vv.iter() {
                pat *= comb(summary, val, &facts, &fact_invs);
                pat %= MOD;
                summary -= val;
            }
            result += pat;
        }
    }
    println!("{}", result);
}