## https://yukicoder.me/problems/no/2406 import math MOD = 998244353 class CombinationCalculator: """ modを考慮したPermutation, Combinationを計算するためのクラス """ def __init__(self, size, mod): self.mod = mod self.factorial = [0] * (size + 1) self.factorial[0] = 1 for i in range(1, size + 1): self.factorial[i] = (i * self.factorial[i - 1]) % self.mod self.inv_factorial = [0] * (size + 1) self.inv_factorial[size] = pow(self.factorial[size], self.mod - 2, self.mod) for i in reversed(range(size)): self.inv_factorial[i] = ((i + 1) * self.inv_factorial[i + 1]) % self.mod def calc_combination(self, n, r): if n < 0 or n < r or r < 0: return 0 if r == 0 or n == r: return 1 ans = self.inv_factorial[n - r] * self.inv_factorial[r] ans %= self.mod ans *= self.factorial[n] ans %= self.mod return ans def calc_permutation(self, n, r): if n < 0 or n < r: return 0 ans = self.inv_factorial[n - r] ans *= self.factorial[n] ans %= self.mod return ans def main(): N, M = map(int, input().split()) combi = CombinationCalculator(2* N, MOD) # 約数列挙する m = abs(M) sqrt_m = int(math.sqrt(m)) base_divisors = [] for p in range(1, sqrt_m + 1): if m % p == 0: q = m // p base_divisors.append(p) if q != p: base_divisors.append(q) divisors = [] for d in base_divisors: divisors.append(d) divisors.append(-d) # 答えを求めていく answer = 0 for p in divisors: q = M // p if (N + p) % 2 == 0 and (N + q) % 2 == 0: xu = (N + p) // 2 xv = (N + q) // 2 ans = combi.calc_combination(N, xu) * combi.calc_combination(N, xv) ans %= MOD answer += ans answer %= MOD inv_4 = pow(4, MOD - 2, MOD) answer *= pow(inv_4, N, MOD) answer %= MOD print(answer) if __name__ == "__main__": main()