import sys readline = sys.stdin.readline from itertools import product def gcd(a, b): while b: a, b = b, a % b return a def isPrimeMR(n): d = n - 1 d = d // (d & -d) L = [2] for a in L: t = d y = pow(a, t, n) if y == 1: continue while y != n - 1: y = (y * y) % n if y == 1 or t == n - 1: return 0 t <<= 1 return 1 def findFactorRho(n): m = 1 << n.bit_length() // 8 for c in range(1, 99): f = lambda x: (x * x + c) % n y, r, q, g = 2, 1, 1, 1 while g == 1: x = y for i in range(r): y = f(y) k = 0 while k < r and g == 1: ys = y for i in range(min(m, r - k)): y = f(y) q = q * abs(x - y) % n g = gcd(q, n) k += m r <<= 1 if g == n: g = 1 while g == 1: ys = f(ys) g = gcd(abs(x - ys), n) if g < n: if isPrimeMR(g): return g elif isPrimeMR(n // g): return n // g return findFactorRho(g) def primeFactor(n): i = 2 ret = {} rhoFlg = 0 while i*i <= n: k = 0 while n % i == 0: n //= i k += 1 if k: ret[i] = k i += 1 + i % 2 if i == 101 and n >= 2 ** 20: while n > 1: if isPrimeMR(n): ret[n], n = 1, 1 else: rhoFlg = 1 j = findFactorRho(n) k = 0 while n % j == 0: n //= j k += 1 ret[j] = k if n > 1: ret[n] = 1 if rhoFlg: ret = {x: ret[x] for x in sorted(ret)} return ret S = int(readline()) Ans = [None]*S for qu in range(S): X, Y = map(int, readline().split()) if X == Y: Ans[qu] = X - 1 continue if X < Y: X, Y = Y, X pk, pv = map(list, zip(*list(primeFactor(X+Y).items()))) ans = 0 for k in product(*[range(v+1) for v in pv]): res = 1 for i in range(len(pv)): res = res*pow(pk[i], k[i]) if res - 1 <= 0: continue if res == 2: continue if (X-Y)%(res-2): continue l, r = (X+Y)//res, (X-Y)//(res-2) if (l+r)%2: continue if 0 <= l+r and 0 <= l-r: ans += 1 #print(res-1, (l+r)//2, (l-r)//2) Ans[qu] = ans print('\n'.join(map(str, Ans)))