from math import log
R=xrange;I=lambda:map(int,raw_input().split())
p=10**9+7;F=[1];FI=[0]*16
for i in R(75):F+=[(i+1)*F[i]%p]
FI[15]=pow(F[15],p-2,p)
for i in R(15,0,-1):FI[i-1]=i*FI[i]%p
s,t,K = I();G=(s,t);D=[None]*(1<<K*4);D[0]=(0,0)
for i in R(K):
	x,y,N=I();m=1;s=i*4
	for j in R(int(log(N,2))):
		z,w=x*m,y*m
		for k in R((1<<j+s)-1,-1,-1):
			if D[k]:D[k+(m<<s)]=(D[k][0]+z,D[k][1]+w)
		N-=m;m*=2
	if N>0:
		z,w=x*N,y*N
		for k in R((1<<4+s)-1,-1,-1):
			if D[k]:D[k+(N<<s)]=(D[k][0]+z,D[k][1]+w)
A=0
for k in R(1<<K*4):
	if D[k]==G:
		T=0;U=1
		for j in R(K):V=k%16;k>>=4;T+=V;U=U*FI[V]%p
		A=(A+F[T]*U)%p
print A