import java.io.*;
import java.util.*;

/**
 * Created by btk on 2017/03/16.
 */
public class Main {

    static FastScanner in;
    static PrintWriter out;

    static int Gr,Gc;
    static int K;
    static int[] R,C,N;


    static void init(){
        Gr = in.nextInt();
        Gc = in.nextInt();
        K = in.nextInt();
        R = new int[5];
        C = new int[5];
        N = new int[5];
        for (int i = 0; i < 5; i++) {
            N[i] = 0;
        }
        for (int i = 0; i < K; i++) {
            R[i] = in.nextInt();
            C[i] = in.nextInt();
            N[i] = in.nextInt();
        }
    }
    final static int mod = (int)1e9+7;
    final static int M = 1 << 20;
    static long[] dp;
    static int[] r,c;
    static long res = 0;
    static int pos(int[] num) {
        int ret=0;
        for (int i = 4; i >=0; i--) {
            ret<<=4;
            ret+=num[i];
        }
        return ret;
    }
    static void rec(int now){
        if(dp[now]!=-1)return;
        //out.println(now);
        int lb = 1;
        int mask = 15;
        dp[now] = 0;
        for (int i = 0; i < 5; i++,mask<<=4,lb<<=4) {
            if((now&mask)>0) {
                int nxt = now -lb;
                rec(nxt);
                r[now] = r[nxt] + R[i];
                c[now] = c[nxt] + C[i];
                dp[now] += dp[nxt];
            }
        }
        dp[now] %= mod;
        if(r[now] == Gr &&c[now]==Gc)
            res+=dp[now];
    }
    static void solve(){
        dp = new long[M];
        r = new int[M];
        c = new int[M];
        for (int i = 0; i < M; i++) {
            dp[i] = -1 ;
        }
        dp[0] = 1;
        r[0] = 0;
        c[0] = 0;
        if(Gr==0&&Gc==0)res++;
        rec(pos(N));
        out.println(res%mod);
    }
    public static void main(String[] args){
        in = new FastScanner();
        out = new PrintWriter(System.out);
        init();
        solve();
        out.close();
    }
}

class FastScanner {
    private final InputStream in = System.in;
    private final byte[] buffer = new byte[1024];
    private int ptr = 0;
    private int buflen = 0;
    private boolean hasNextByte() {
        if (ptr < buflen) {
            return true;
        }else{
            ptr = 0;
            try {
                buflen = in.read(buffer);
            } catch (IOException e) {
                e.printStackTrace();
            }
            if (buflen <= 0) {
                return false;
            }
        }
        return true;
    }
    private int readByte() { if (hasNextByte()) return buffer[ptr++]; else return -1;}
    private static boolean isPrintableChar(int c) { return 33 <= c && c <= 126;}
    public boolean hasNext() { while(hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++; return hasNextByte();}
    public String next() {
        if (!hasNext()) throw new NoSuchElementException();
        StringBuilder sb = new StringBuilder();
        int b = readByte();
        while(isPrintableChar(b)) {
            sb.appendCodePoint(b);
            b = readByte();
        }
        return sb.toString();
    }
    public long nextLong() {
        if (!hasNext()) throw new NoSuchElementException();
        long n = 0;
        boolean minus = false;
        int b = readByte();
        if (b == '-') {
            minus = true;
            b = readByte();
        }
        if (b < '0' || '9' < b) {
            throw new NumberFormatException();
        }
        while(true){
            if ('0' <= b && b <= '9') {
                n *= 10;
                n += b - '0';
            }else if(b == -1 || !isPrintableChar(b)){
                return minus ? -n : n;
            }else{
                throw new NumberFormatException();
            }
            b = readByte();
        }
    }
    public int nextInt() {
        long nl = nextLong();
        if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE) throw new NumberFormatException();
        return (int) nl;
    }
    public double nextDouble() { return Double.parseDouble(next());}
}