mod = 998244353 omega = pow(3,119,mod) rev_omega = pow(omega,mod-2,mod) N = 2*10**5 g1 = [1]*(N+1) # 元テーブル g2 = [1]*(N+1) #逆元テーブル inv = [1]*(N+1) #逆元テーブル計算用テーブル for i in range( 2, N + 1 ): g1[i]=( ( g1[i-1] * i ) % mod ) inv[i]=( ( -inv[mod % i] * (mod//i) ) % mod ) g2[i]=( (g2[i-1] * inv[i]) % mod ) inv[0]=0 def _ntt(f,L,reverse=False): F=[f[i] for i in range(L)] n = L.bit_length() - 1 base = omega if reverse: base = rev_omega if not n: return F size = 2**n wj = pow(base,2**22,mod) res = [0]*2**n for i in range(n,0,-1): use_omega = pow(base,2**(22+i-n),mod) res = [0]*2**n size //= 2 w = 1 for j in range(0,L//2,size): for a in range(size): res[a+j] = (F[a+2*j] + w * F[a+size+2*j]) % mod t = (w * wj) % mod res[L//2+a+j] = (F[a+2*j] + t * F[a+size+2*j]) % mod w = (w * use_omega) % mod F = res return res def ntt(f,L=0): l = len(f) if not L: L = 1<<((l-1).bit_length()) while len(f) c[i] = sum(a[j] * b[i - j] for j in range(i + 1)) % 998244353. It returns an empty list if at least one of a and b are empty. Constraints ----------- > len(a) + len(b) <= 8388609 Complexity ---------- > O(n log n), where n = len(a) + len(b). """ n = len(a) m = len(b) if n == 0 or m == 0: return [] if min(n, m) <= 0: return _convolution_naive(a, b) if a is b: return _convolution_square(a) return _convolution_fft(a, b) import sys,random,bisect from collections import deque,defaultdict from heapq import heapify,heappop,heappush from itertools import permutations from math import e, log,gcd input = lambda :sys.stdin.readline() mi = lambda :map(int,input().split()) li = lambda :list(mi()) N,S = mi() P = li() for i in range(N): P[i] = P[i] * pow(S,mod-2,mod) % mod init = [[[0,P[i]*P[i] % mod],[1,P[i]]] for i in range(N)] def add(f,g): res = [0 for i in range(max(len(f),len(g)))] for i in range(len(f)): res[i] += f[i] res[i] %= mod for j in range(len(g)): res[j] += g[j] res[j] %= mod return res def merge(x,y): return [add(convolution(x[0],y[1]),convolution(x[1],y[0])),convolution(x[1],y[1])] deq = deque(init) while len(deq) > 1: a = deq.popleft() b = deq.popleft() c = merge(a,b) deq.append(c) res = deq[0][0] ans = 0 for k in range(1,N+1): ans += g1[k+1] * res[k] % mod ans %= mod print(ans)