# input import sys input = sys.stdin.readline II = lambda : int(input()) MI = lambda : map(int, input().split()) LI = lambda : [int(a) for a in input().split()] SI = lambda : input().rstrip() LLI = lambda n : [[int(a) for a in input().split()] for _ in range(n)] LSI = lambda n : [input().rstrip() for _ in range(n)] MI_1 = lambda : map(lambda x:int(x)-1, input().split()) LI_1 = lambda : [int(a)-1 for a in input().split()] def graph(n:int, m:int, dir:bool=False, index:int=-1) -> list[set[int]]: edge = [set() for i in range(n+1+index)] for _ in range(m): a,b = map(int, input().split()) a += index b += index edge[a].add(b) if not dir: edge[b].add(a) return edge def graph_w(n:int, m:int, dir:bool=False, index:int=-1) -> list[set[tuple]]: edge = [set() for i in range(n+1+index)] for _ in range(m): a,b,c = map(int, input().split()) a += index b += index edge[a].add((b,c)) if not dir: edge[b].add((a,c)) return edge mod = 998244353 inf = 1001001001001001001 ordalp = lambda s : ord(s)-65 if s.isupper() else ord(s)-97 ordallalp = lambda s : ord(s)-39 if s.isupper() else ord(s)-97 yes = lambda : print("Yes") no = lambda : print("No") yn = lambda flag : print("Yes" if flag else "No") def acc(a:list[int]): sa = [0]*(len(a)+1) for i in range(len(a)): sa[i+1] = a[i] + sa[i] return sa prinf = lambda ans : print(ans if ans < 1000001001001001001 else -1) alplow = "abcdefghijklmnopqrstuvwxyz" alpup = "ABCDEFGHIJKLMNOPQRSTUVWXYZ" alpall = "abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ" URDL = {'U':(-1,0), 'R':(0,1), 'D':(1,0), 'L':(0,-1)} DIR_4 = [[-1,0],[0,1],[1,0],[0,-1]] DIR_8 = [[-1,0],[-1,1],[0,1],[1,1],[1,0],[1,-1],[0,-1],[-1,-1]] DIR_BISHOP = [[-1,1],[1,1],[1,-1],[-1,-1]] prime60 = [2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59] sys.set_int_max_str_digits(0) sys.setrecursionlimit(10**6) # import pypyjit # pypyjit.set_param('max_unroll_recursion=-1') from collections import defaultdict from heapq import heappop,heappush from bisect import bisect_left,bisect_right DD = defaultdict BSL = bisect_left BSR = bisect_right # https://github.com/atcoder/ac-library/blob/master/atcoder/convolution.hpp from array import array MOD = 998244353 IMAG = 911660635 IIMAG = 86583718 INV2 = 499122177 rate2 = array('I', [0, 911660635, 509520358, 369330050, 332049552, 983190778, 123842337, 238493703, 975955924, 603855026, 856644456, 131300601, 842657263, 730768835, 942482514, 806263778, 151565301, 510815449, 503497456, 743006876, 741047443, 56250497, 867605899, 0]) irate2 = array('I', [0, 86583718, 372528824, 373294451, 645684063, 112220581, 692852209, 155456985, 797128860, 90816748, 860285882, 927414960, 354738543, 109331171, 293255632, 535113200, 308540755, 121186627, 608385704, 438932459, 359477183, 824071951, 103369235, 0]) rate3 = array('I', [0, 372528824, 337190230, 454590761, 816400692, 578227951, 180142363, 83780245, 6597683, 70046822, 623238099, 183021267, 402682409, 631680428, 344509872, 689220186, 365017329, 774342554, 729444058, 102986190, 128751033, 395565204, 0]) irate3 = array('I', [0, 509520358, 929031873, 170256584, 839780419, 282974284, 395914482, 444904435, 72135471, 638914820, 66769500, 771127074, 985925487, 262319669, 262341272, 625870173, 768022760, 859816005, 914661783, 430819711, 272774365, 530924681, 0]) # https://judge.yosupo.jp/submission/55648 def butterfly(a: list): n = len(a) h = (n - 1).bit_length() le = 0 while le < h: if h - le == 1: p = 1 << (h - le - 1) rot = 1 for s in range(1 << le): offset = s << (h - le) for i in range(p): l = a[i + offset] r = a[i + offset + p] * rot a[i + offset] = (l + r) % MOD a[i + offset + p] = (l - r) % MOD rot *= rate2[(~s & -~s).bit_length()] rot %= MOD le += 1 else: p = 1 << (h - le - 2) rot = 1 for s in range(1 << le): rot2 = rot * rot % MOD rot3 = rot2 * rot % MOD offset = s << (h - le) for i in range(p): a0 = a[i + offset] a1 = a[i + offset + p] * rot a2 = a[i + offset + p * 2] * rot2 a3 = a[i + offset + p * 3] * rot3 a1na3imag = (a1 - a3) % MOD * IMAG a[i + offset] = (a0 + a2 + a1 + a3) % MOD a[i + offset + p] = (a0 + a2 - a1 - a3) % MOD a[i + offset + p * 2] = (a0 - a2 + a1na3imag) % MOD a[i + offset + p * 3] = (a0 - a2 - a1na3imag) % MOD rot *= rate3[(~s & -~s).bit_length()] rot %= MOD le += 2 def butterfly_inv(a: list): n = len(a) h = (n - 1).bit_length() le = h while le: if le == 1: p = 1 << (h - le) irot = 1 for s in range(1 << (le - 1)): offset = s << (h - le + 1) for i in range(p): l = a[i + offset] r = a[i + offset + p] a[i + offset] = (l + r) % MOD a[i + offset + p] = (l - r) * irot % MOD irot *= irate2[(~s & -~s).bit_length()] irot %= MOD le -= 1 else: p = 1 << (h - le) irot = 1 for s in range(1 << (le - 2)): irot2 = irot * irot % MOD irot3 = irot2 * irot % MOD offset = s << (h - le + 2) for i in range(p): a0 = a[i + offset] a1 = a[i + offset + p] a2 = a[i + offset + p * 2] a3 = a[i + offset + p * 3] a2na3iimag = (a2 - a3) * IIMAG % MOD a[i + offset] = (a0 + a1 + a2 + a3) % MOD a[i + offset + p] = (a0 - a1 + a2na3iimag) * irot % MOD a[i + offset + p * 2] = (a0 + a1 - a2 - a3) * irot2 % MOD a[i + offset + p * 3] = (a0 - a1 - a2na3iimag) * irot3 % MOD irot *= irate3[(~s & -~s).bit_length()] irot %= MOD le -= 2 def multiply(s: list, t: list): n = len(s) m = len(t) if min(n, m) <= 60: a = [0] * (n + m - 1) for i in range(n): if i&111 == 0: for j in range(m): a[i + j] += s[i] * t[j] a[i + j] %= MOD else: for j in range(m): a[i + j] += s[i] * t[j] return [x % MOD for x in a] a = s.copy() b = t.copy() z = 1 << (n + m - 2).bit_length() a += [0] * (z - n) b += [0] * (z - m) butterfly(a) butterfly(b) for i in range(z): a[i] *= b[i] a[i] %= MOD butterfly_inv(a) a = a[:n + m - 1] iz = pow(z, MOD - 2, MOD) return [v * iz % MOD for v in a] def shrink(a: list): while a and not a[-1]: a.pop() def fps_add(a: list, b: list): if len(a) < len(b): res = b.copy() for i, x in enumerate(a): res[i] += x else: res = a.copy() for i, x in enumerate(b): res[i] += x return [x-MOD if MOD <= x else x in res] def fps_inv(a: list, deg: int=-1): if deg == -1: deg = len(a) res = [0] * deg res[0] = pow(a[0], MOD - 2, MOD) d = 1 iv = INV2 while d < deg: d2 = d << 1 f = [0] * d2 fl = min(len(a), d2) f[:fl] = a[:fl] g = [0] * d2 g[:d] = res[:d] butterfly(g) butterfly(f) for i in range(d2): f[i] = f[i] * g[i] % MOD butterfly_inv(f) f[:d] = [0] * d for i in range(d, d2): f[i] = f[i] * iv % MOD butterfly(f) for i in range(d2): f[i] = f[i] * g[i] % MOD butterfly_inv(f) for i in range(d, min(d2, deg)): res[i] = (MOD-f[i]) * iv % MOD d <<= 1 iv = iv * INV2 % MOD return res n,q = MI() a = LI() for i in range(q): qry = LI() if qry[0] == 1: _,k,x = qry b = [0]*n b[0] = 1 for i in range(1,n): b[i] = -b[i-1]*k*(x+1-i)*pow(i, -1, mod)%mod b = fps_inv(b, n) a = multiply(a, b)[:n] else: _,x = qry print(a[x-1]) # print(a)