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)