const MOD: u64 = 1_000000000 + 7;

#[derive(Debug)]
struct Solver {
    gx: i64,
    gy: i64,
    x: Vec<i64>,
    y: Vec<i64>,
    c: Vec<usize>,
    comb: Vec<Vec<u64>>,
    used: Vec<usize>,
}

impl Solver {
    fn new() -> Self {
        let mut scanner = Scanner::new();
        let gx = scanner.next_i64();
        let gy = scanner.next_i64();
        let n = scanner.next_usize();
        let mut x = Vec::new();
        let mut y = Vec::new();
        let mut c = Vec::new();
        for _ in 0..n {
            x.push(scanner.next_i64());
            y.push(scanner.next_i64());
            c.push(scanner.next_usize());
        }
        let sum: usize = c.iter().sum();
        let mut comb = vec![vec![0; sum+1]; sum+1];
        for i in 0..sum+1 {
            comb[i][0] = 1;
            comb[i][i] = 1;
            for j in 1..i {
                comb[i][j] = comb[i-1][j-1] + comb[i-1][j];
                if comb[i][j] >= MOD { comb[i][j] -= MOD }
            }
        }
        Solver {
            gx: gx, gy: gy, x: x, y: y, c: c, comb: comb, used: vec![0; n]
        }
    }

    fn calc(&mut self) -> u64 {
        let mut sum: usize = self.used.iter().sum();
        let mut x = 0;
        let mut y = 0;
        let mut ans = 1_u64;
        for i in 0..self.used.len() {
            ans = ans * self.comb[sum][self.used[i]] % MOD;
            x += self.x[i] * self.used[i] as i64;
            y += self.y[i] * self.used[i] as i64;
            sum -= self.used[i];
        }
        if x == self.gx && y == self.gy {
            ans
        } else {
            0
        }
    }

    fn rec(&mut self, idx: usize) -> u64 {
        if idx >= self.used.len() {
            return self.calc();
        }
        let mut ans = 0;
        for i in 0..self.c[idx]+1 {
            self.used[idx] = i;
            ans += self.rec(idx + 1);
        }
        ans % MOD
    }
}

fn main() {
    let mut solver = Solver::new();
    println!("{}", solver.rec(0));
}


struct Scanner {
    reader: std::io::Stdin,
    tokens: std::collections::VecDeque<String>,
}

impl Scanner {
    fn new() -> Self {
        Scanner {
            reader: std::io::stdin(),
            tokens: std::collections::VecDeque::new(),
        }
    }

    fn next(&mut self) -> String {
        if self.tokens.is_empty() {
        let mut s = String::new();
            loop {
                self.reader.read_line(&mut s).ok();
                let s = s.trim();
                if s.len() != 0 {
                    for it in s.split_whitespace() {
                        self.tokens.push_back(it.into())
                    }
                    break;
                }
            }
        }
        self.tokens.pop_front().unwrap()
    }

    fn next_generics<T>(&mut self) -> T where
        T: std::str::FromStr + std::marker::Copy,
        <T as std::str::FromStr>::Err: std::fmt::Debug
    {
        self.next().parse().unwrap()
    }
    
    #[allow(dead_code)] fn next_i32(&mut self) -> i32 { self.next_generics::<i32>() }
    #[allow(dead_code)] fn next_i64(&mut self) -> i64 { self.next_generics::<i64>() }
    #[allow(dead_code)] fn next_u64(&mut self) -> u64 { self.next_generics::<u64>() }
    #[allow(dead_code)] fn next_usize(&mut self) -> usize { self.next_generics::<usize>() }
}