import math def Divisors(N): divisors=[] for i in range(1,N+1): if i**2>=N: break elif N%i==0: divisors.append(i) if i**2==N: divisors+=[i]+[N//i for i in divisors[::-1]] else: divisors+=[N//i for i in divisors[::-1]] return divisors Q=int(input()) for q in range(Q): a,b,c,d=map(int,input().split()) M=10**9 def tree(p,q): D=Divisors(q-p) def f(p,q): if q-p==1: return [((p,q),(M,M+1))] lst=[] for d in D[1:]: if (q-p)%d==0: lst.append((-p)%d) if lst: mi=min(lst) pp=p+mi qq=q+mi g=math.gcd(pp,qq) return [((p,q),(pp,qq))]+f(pp//g,qq//g) else: return [((p,q),(1,q-p+1))] return f(p,q) tree0=tree(a,b) tree1=tree(c,d)