p = 10**9+7
comb = Array.new(76){[0]*76}
comb[0][0] = 1
Gx,Gy,K = gets.split().map{|s| s.to_i}
(0..K*15-1).each{|i|
	(0..i+1).each{|j|
		if j > 0 then
			comb[i+1][j] = (comb[i][j] + comb[i][j-1]) % p
		else
			comb[i+1][j] = comb[i][j]
		end
	}
}
G = [Gx,Gy]; dp = [nil]*(1<<K*4); dp[0] = [0,0]
(0..K-1).each{|i|
	x,y,n = gets.split().map{|s| s.to_i}
	shift = i*4
	j = 0
	while n > 0
		mul = [1<<j,n].min()
		mx,my = x*mul,y*mul
		n -= mul
		(0..(1<<(j+shift))-1).reverse_each{|k|
			if dp[k] == nil then
				next
			end
			dp[k+(mul<<shift)]=[dp[k][0]+mx,dp[k][1]+my]
		}
		j += 1
	end
}
ans = 0
(0..(1<<(K*4))-1).each{|k|
	if dp[k] != G then
		next
	end
	total = 0
	tmp = 1
	(0..K-1).each{|i| total += (k>>(i*4))%16}
	(0..K-1).each{|i|
		dup_n = (k>>(i*4))%16;
		tmp = tmp * comb[total][dup_n] % p;
		total-=dup_n;
	}
	ans = (ans + tmp) % p;
}
p ans