M=10**9+7;I=[1,1];*F=I;*R=I
2.upto(999){|i|I<<z=(M-M/i)*I[M%i]%M;F<<i*F[-1]%M;R<<z*R[-1]%M}
f=->(a,b,c){(F[a+b+c-1]*R[b-1]*R[a+c]+g(a-1,b,c-1))%M}
def g(a,b,c)
	$memo[[a,c]]||=F[a+b+c]*R[b-1]*R[a+c+1]%M+(a>0?g(a-1,b,c):F[b+c]*R[b]*R[c]%M)+(c>0?g(a,b,c-1):F[a+b]*R[a]*R[b]%M)%M
end
gets;$<.map{|e|$memo={};p f[*e.split.map(&:to_i)]}