#!/usr/bin/ruby
def egcd(x,y)
	return [x,1,0] if y==0
	g,a,b=egcd(y,x%y)
	[g,b,a-x/y*b]
end

a,b=gets.split.map(&:to_i).sort
gets
if b==0
	p $<.count{|e|
		x,y=e.split.map(&:to_i)
		x==0&&y==0
	}
else
	g,z1,z2=egcd(a,b)
	a/=g
	b/=g
	g0,g1,g2=egcd(2*a,2*b)
	p $<.count{|e|
		x,y=e.split.map(&:to_i)
		next if x%g!=0 || y%g!=0
		x/=g
		y/=g
		z=b*b-a*a
		w=z2*x*a+z1*x*b-y
		if -w%z.gcd(g0)==0
=begin
			_,k1,k2=egcd(z,g0)
			e=0
			f=0
			n=w*k1%g0+g0*e
			m=(z*n+w)/g0
			_d=g1*m+2*b*f
			_b=g2*m-2*a*f
			_a=z1*x+b*n-_b
			_c=z2*x-a*n-_d
			raise if (_a+_b)*a+(_c+_d)*b!=x
			raise if (_c-_d)*a+(_a-_b)*b!=y
			p [_a,_b,_c,_d]
=end
			true
		else
			false
		end
	}
end