import sys # sys.setrecursionlimit(200005) # sys.set_int_max_str_digits(200005) int1 = lambda x: int(x)-1 pDB = lambda *x: print(*x, end="\n", file=sys.stderr) p2D = lambda x: print(*x, sep="\n", end="\n\n", file=sys.stderr) def II(): return int(sys.stdin.readline()) def LI(): return list(map(int, sys.stdin.readline().split())) def LLI(rows_number): return [LI() for _ in range(rows_number)] def LI1(): return list(map(int1, sys.stdin.readline().split())) def LLI1(rows_number): return [LI1() for _ in range(rows_number)] def SI(): return sys.stdin.readline().rstrip() dij = [(0, 1), (-1, 0), (0, -1), (1, 0)] # dij = [(0, 1), (-1, 0), (0, -1), (1, 0), (1, 1), (1, -1), (-1, 1), (-1, -1)] # inf = -1-(-1 << 31) inf = -1-(-1 << 62) # md = 10**9+7 md = 998244353 class Sieve: def __init__(self, n): self.plist = [2] min_prime_factor = [2, 0]*(n//2+1) for x in range(3, n+1, 2): if min_prime_factor[x] == 0: min_prime_factor[x] = x self.plist.append(x) if x**2 > n: continue for y in range(x**2, n+1, 2*x): if min_prime_factor[y] == 0: min_prime_factor[y] = x self.min_prime_factor = min_prime_factor def isprime(self, x): return self.min_prime_factor[x] == x def pf(self, x): pp, ee = [], [] while x > 1: mpf = self.min_prime_factor[x] if pp and mpf == pp[-1]: ee[-1] += 1 else: pp.append(mpf) ee.append(1) x //= mpf return pp, ee # unsorted def factor(self, a): ff = [1] pp, ee = self.pf(a) for p, e in zip(pp, ee): ff, gg = [], ff w = p for _ in range(e): for f in gg: ff.append(f*w) w *= p ff += gg return ff def nCr(com_n, com_r): if com_r < 0: return 0 if com_n < com_r: return 0 return fac[com_n]*ifac[com_r]%md*ifac[com_n-com_r]%md n_max = 202505 fac = [1] for i in range(1, n_max+1): fac.append(fac[-1]*i%md) ifac = [1]*(n_max+1) ifac[n_max] = pow(fac[n_max], md-2, md) for i in range(n_max-1, 1, -1): ifac[i] = ifac[i+1]*(i+1)%md sv = Sieve(n_max) def solve(): n, a = LI() # x+y=n-1 # x-y=f # y=(n-1-f)/2 ans = 0 for f in sv.factor(a): if f & 1 == n & 1 or n-1-f < 0: continue y = (n-1-f)//2 ans += nCr(n-1, y) if y: ans -= nCr(n-1, y-1) ans %= md print(ans) for _ in range(II()): solve()