mod = 998244353 def main(): import sys from collections import deque input = sys.stdin.readline W = ( 1, 998244352, 911660635, 372528824, 929031873, 452798380, 922799308, 781712469, 476477967, 166035806, 258648936, 584193783, 63912897, 350007156, 666702199, 968855178, 629671588, 24514907, 996173970, 363395222, 565042129, 733596141, 267099868, 15311432) IW = (1, 998244352, 86583718, 509520358, 337190230, 87557064, 609441965, 135236158, 304459705, 685443576, 381598368, 335559352, 129292727, 358024708, 814576206, 708402881, 283043518, 3707709, 121392023, 704923114, 950391366, 428961804, 382752275, 469870224) # A: 係数を並べたベクトル,len(A) = 2^n def fft(A): N = len(A) n = N.bit_length() - 1 N2 = N // 2 A_new = [0] * N for lv in range(n): L = 1 << (n - lv - 1) w = W[lv + 1] ww = 1 for j in range(1 << lv): for i in range(L): f0_val = A[i + j * L * 2] f1_val = A[i + j * L * 2 + L] tmp = (ww * f1_val) % mod A_new[i + j * L] = (f0_val + tmp) % mod A_new[i + j * L + N2] = (f0_val - tmp) % mod ww = (ww * w) % mod A, A_new = A_new, A return A # A: 係数を並べたベクトル,len(A) = 2^n def ifft(A): N = len(A) n = N.bit_length() - 1 N2 = N // 2 A_new = [0] * N for lv in range(n): L = 1 << (n - lv - 1) w = IW[lv + 1] ww = 1 for j in range(1 << lv): for i in range(L): f0_val = A[i + j * L * 2] f1_val = A[i + j * L * 2 + L] tmp = (ww * f1_val) % mod A_new[i + j * L] = (f0_val + tmp) % mod A_new[i + j * L + N2] = (f0_val - tmp) % mod ww = (ww * w) % mod A, A_new = A_new, A return A def convolution(A0, B0, limit): if len(A0) <= 60 or len(B0) <= 60: return convolution_naive(A0, B0, limit) N = len(A0) + len(B0) - 1 N0 = 1 << ((N - 1).bit_length()) A = A0 + [0] * (N0 - len(A0)) B = B0 + [0] * (N0 - len(B0)) AA = fft(A) BB = fft(B) CC = [(aa * bb) % mod for aa, bb in zip(AA, BB)] C = ifft(CC) invN0 = pow(N0, mod - 2, mod) C = [(c * invN0) % mod for c in C] return C[:limit] def convolution_naive(A0, B0, limit): NA = len(A0) NB = len(B0) C = [0] * (NA + NB - 1) for i in range(NA): for j in range(NB): C[i + j] = (C[i + j] + (A0[i] * B0[j]) % mod) % mod return C[:limit] N = int(input()) adj = [[] for _ in range(N+1)] for _ in range(N-1): a, b = map(int, input().split()) adj[a].append(b) adj[b].append(a) que = deque() que.append(1) seen = [-1] * (N+1) seen[1] = 0 par = [0] * (N+1) child = [[] for _ in range(N+1)] seq = [] while que: v = que.popleft() seq.append(v) for u in adj[v]: if seen[u] == -1: seen[u] = seen[v] + 1 par[u] = v child[v].append(u) que.append(u) seq.reverse() dp0 = [0] * (N + 1) dp1 = [0] * (N + 1) for v in seq: if not child[v]: dp1[v] = 1 else: tmp = [1, 0, 0] for u in child[v]: tmp = convolution(tmp, [dp0[u], dp1[u]], 3) dp1[v] = (tmp[0] + tmp[1]) % mod dp0[v] = (tmp[1] + tmp[2]) % mod print(dp0[1]) if __name__ == '__main__': main()