GX,GY,K=gets.split.map &:to_i
a=K.times.map{
  x,y,n=gets.split.map(&:to_i)
  (1..n).map{|i|[x*i,y*i,i,i]}
}
F=->a,i,v,r{
  if i+1<a.size
    F[a,i+1,v,r]
  end
  a[i].each{|b|
    x,y,n=b
    w=[v[0]+x,v[1]+y,v[2]+[b[-1]]]
    if w[0]==GX&&w[1]==GY
      r<<w[2]
    end
    if i+1<a.size
      F[a,i+1,w,r]
    end
  }
}
F[a,0,[0,0,[]],r=[]]
c=GX==0&&GY==0 ? 1 : 0
h={}
r.each{|v|
  d=(1..v.inject(:+)).to_a.inject(:*)
  v.each{|w|d/=h[w]||h[w]=(1..w).to_a.inject(:*)}
  c+=d
}
p c%1000000007