#include long long mod_num = 998244353LL; long long org_root = 3LL; int org_length = 998244352; long long root[10] = {}; int length[10] = {}; long long inverse_root[10] = {}; long long inverse_l[10] = {}; int log_l[10] = {}; long long pow_root[10][16] = {}; long long pow_root_inv[10][16] = {}; long long power_mod (long long a, long long b, long long p) { long long ans = 0LL; a %= p; if (b <= 0LL) { return 1LL; } ans = power_mod(a, b/2LL, p); ans = (ans * ans) % p; if (b%2LL == 1LL) { ans = (ans * a) % p; } return ans; } void setup_ntt (int l, int id) { int tmp_length = 4; log_l[id] = 1; while(tmp_length < 2*l) { tmp_length *= 4; log_l[id]++; } root[id] = power_mod(org_root, org_length / tmp_length, mod_num); inverse_root[id] = power_mod(root[id], mod_num-2LL, mod_num); inverse_l[id] = power_mod((long long) tmp_length, mod_num-2LL, mod_num); length[id] = tmp_length; pow_root[id][log_l[id]-1] = root[id]; for (int i = log_l[id]-1; i > 0; i--) { pow_root[id][i-1] = pow_root[id][i]; pow_root[id][i-1] *= pow_root[id][i]; pow_root[id][i-1] %= mod_num; pow_root[id][i-1] *= pow_root[id][i-1]; pow_root[id][i-1] %= mod_num; } pow_root_inv[id][log_l[id]-1] = inverse_root[id]; for (int i = log_l[id]-1; i > 0; i--) { pow_root_inv[id][i-1] = pow_root_inv[id][i]; pow_root_inv[id][i-1] *= pow_root_inv[id][i]; pow_root_inv[id][i-1] %= mod_num; pow_root_inv[id][i-1] *= pow_root_inv[id][i-1]; pow_root_inv[id][i-1] %= mod_num; } return; } void ntt_4n (long long *a, long long *pow_root, int length, int log_l) { long long root_1_4 = pow_root[0]; for (int i = 0; i < length; i++) { int idx = 0; int tmp = i; for (int j = 0; j < log_l; j++) { idx <<= 2; idx |= (tmp&3); tmp >>= 2; } if (i < idx) { long long swap = a[i]; a[i] = a[idx]; a[idx] = swap; } } for (int i = 0; i < log_l; i++) { int step = (1<<(2*i)); int stepx4 = (step<<2); int cnt = length/stepx4; long long tmp_root = 1LL; for (int j = 0; j < step; j++) { long long w1 = tmp_root; long long w2 = (w1*w1)%mod_num; long long w3 = (w2*w1)%mod_num; for (int k = 0; k < cnt; k++) { int idx1 = ((k*stepx4)|j); int idx2 = (idx1|step); int idx3 = (idx1|(2*step)); int idx4 = (idx2|idx3); long long a1 = a[idx1]; long long a2 = (a[idx2]*w1)%mod_num; long long a3 = (a[idx3]*w2)%mod_num; long long a4 = (a[idx4]*w3)%mod_num; long long wa2 = (a2*root_1_4)%mod_num; long long wa4 = (a4*root_1_4)%mod_num; long long pad = (mod_num<<1LL); a[idx1] = (a1+a2+a3+a4) % mod_num; a[idx2] = (a1+wa2-a3-wa4+pad) % mod_num; a[idx3] = (a1-a2+a3-a4+pad) % mod_num; a[idx4] = (a1-wa2-a3+wa4+pad) % mod_num; } tmp_root = (tmp_root*pow_root[i])%mod_num; } } return; } int main () { int n = 0; int m = 0; int a[200000] = {}; int b[200000] = {}; int res = 0; long long ans[4000000] = {}; long long mod_num = 998244353LL; long long comb[301][301] = {}; long long cnt[301][301][301] = {}; long long prod[300][601] = {}; long long st[10][1048576] = {}; int stnum[10] = {}; int idx = 0; int logm = 0; res = scanf("%d", &n); res = scanf("%d", &m); for (int i = 0; i < n; i++) { res = scanf("%d", a+i); } for (int i = 0; i < n; i++) { res = scanf("%d", b+i); } for (int i = 0; i <= 300; i++) { comb[i][0] = 1LL; comb[i][i] = 1LL; for (int j = 1; j < i; j++) { comb[i][j] = (comb[i-1][j-1]+comb[i-1][j])%mod_num; } } for (int i = 1; i <= 300; i++) { for (int j = 0; j <= 300; j++) { cnt[i][0][j] = comb[i][j]; } for (int j = 1; j <= 300; j++) { for (int k = 0; k < 300; k++) { cnt[i][j][k] = (cnt[i][j-1][k]+cnt[i][j-1][k+1])%mod_num; } if (i >= 300) { cnt[i][j][300] = 1LL; } } } for (int i = 0; i < m; i++) { for (int j = 0; j <= 600; j++) { prod[i][j] = 1LL; } } for (int i = 0; i < n; i++) { for (int j = 0; j <= 300; j++) { prod[i%m][j+300] *= cnt[a[i]][b[i]][j]; prod[i%m][j+300] %= mod_num; } for (int j = 1; j <= 300; j++) { prod[i%m][300-j] *= cnt[b[i]][a[i]][j]; prod[i%m][300-j] %= mod_num; } } while ((1< 0 && stnum[idx-1] == stnum[idx]) { ntt_4n(st[idx-1], pow_root[stnum[idx]], length[stnum[idx]], log_l[stnum[idx]]); ntt_4n(st[idx], pow_root[stnum[idx]], length[stnum[idx]], log_l[stnum[idx]]); for (int j = 0; j < length[stnum[idx]]; j++) { st[idx-1][j] *= st[idx][j]; st[idx-1][j] %= mod_num; st[idx][j] = 0LL; } ntt_4n(st[idx-1], pow_root_inv[stnum[idx]], length[stnum[idx]], log_l[stnum[idx]]); for (int j = 0; j <= length[stnum[idx]]; j++) { st[idx-1][j] *= inverse_l[stnum[idx]]; st[idx-1][j] %= mod_num; } stnum[idx-1]++; idx--; } idx++; } ans[0] = 1LL; for (int i = 0; i < idx; i++) { ntt_4n(ans, pow_root[logm], length[logm], log_l[logm]); ntt_4n(st[i], pow_root[logm], length[logm], log_l[logm]); for (int j = 0; j < length[logm]; j++) { ans[j] *= st[i][j]; ans[j] %= mod_num; } ntt_4n(ans, pow_root_inv[logm], length[logm], log_l[logm]); for (int j = 0; j <= 600*m; j++) { ans[j] *= inverse_l[logm]; ans[j] %= mod_num; } for (int j = 600*m+1; j < length[logm]; j++) { ans[j] = 0LL; } } printf("%lld\n", ans[300*m]); return 0; }