#ifndef HIDDEN_IN_VS // 折りたたみ用

// 警告の抑制
#define _CRT_SECURE_NO_WARNINGS

// ライブラリの読み込み
#include <bits/stdc++.h>
using namespace std;

// 型名の短縮
using ll = long long; // -2^63 ～ 2^63 = 9 * 10^18（int は -2^31 ～ 2^31 = 2 * 10^9）
using pii = pair<int, int>;	using pll = pair<ll, ll>;	using pil = pair<int, ll>;	using pli = pair<ll, int>;
using vi = vector<int>;		using vvi = vector<vi>;		using vvvi = vector<vvi>;	using vvvvi = vector<vvvi>;
using vl = vector<ll>;		using vvl = vector<vl>;		using vvvl = vector<vvl>;	using vvvvl = vector<vvvl>;
using vb = vector<bool>;	using vvb = vector<vb>;		using vvvb = vector<vvb>;
using vc = vector<char>;	using vvc = vector<vc>;		using vvvc = vector<vvc>;
using vd = vector<double>;	using vvd = vector<vd>;		using vvvd = vector<vvd>;
template <class T> using priority_queue_rev = priority_queue<T, vector<T>, greater<T>>;
using Graph = vvi;

// 定数の定義
const double PI = acos(-1);
const vi DX = { 1, 0, -1, 0 }; // 4 近傍（下，右，上，左）
const vi DY = { 0, 1, 0, -1 };
int INF = 1001001001; ll INFL = 4004004003104004004LL; // (int)INFL = 1010931620;
double EPS = 1e-15;

// 入出力高速化
struct fast_io { fast_io() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(18); } } fastIOtmp;

// 汎用マクロの定義
#define all(a) (a).begin(), (a).end()
#define sz(x) ((int)(x).size())
#define lbpos(a, x) (int)distance((a).begin(), std::lower_bound(all(a), x))
#define ubpos(a, x) (int)distance((a).begin(), std::upper_bound(all(a), x))
#define Yes(b) {cout << ((b) ? "Yes\n" : "No\n");}
#define rep(i, n) for(int i = 0, i##_len = int(n); i < i##_len; ++i) // 0 から n-1 まで昇順
#define repi(i, s, t) for(int i = int(s), i##_end = int(t); i <= i##_end; ++i) // s から t まで昇順
#define repir(i, s, t) for(int i = int(s), i##_end = int(t); i >= i##_end; --i) // s から t まで降順
#define repe(v, a) for(const auto& v : (a)) // a の全要素（変更不可能）
#define repea(v, a) for(auto& v : (a)) // a の全要素（変更可能）
#define repb(set, d) for(int set = 0; set < (1 << int(d)); ++set) // d ビット全探索（昇順）
#define repp(a) sort(all(a)); for(bool a##_perm = true; a##_perm; a##_perm = next_permutation(all(a))) // a の順列全て（昇順）
#define smod(n, m) ((((n) % (m)) + (m)) % (m)) // 非負mod
#define uniq(a) {sort(all(a)); (a).erase(unique(all(a)), (a).end());} // 重複除去
#define EXIT(a) {cout << (a) << endl; exit(0);} // 強制終了
#define inQ(x, y, u, l, d, r) ((u) <= (x) && (l) <= (y) && (x) < (d) && (y) < (r)) // 半開矩形内判定

// 汎用関数の定義
template <class T> inline ll pow(T n, int k) { ll v = 1; rep(i, k) v *= n; return v; }
template <class T> inline bool chmax(T& M, const T& x) { if (M < x) { M = x; return true; } return false; } // 最大値を更新（更新されたら true を返す）
template <class T> inline bool chmin(T& m, const T& x) { if (m > x) { m = x; return true; } return false; } // 最小値を更新（更新されたら true を返す）
template <class T> inline T get(T set, int i) { return (set >> i) & T(1); }

// 演算子オーバーロード
template <class T, class U> inline istream& operator>>(istream& is, pair<T, U>& p) { is >> p.first >> p.second; return is; }
template <class T> inline istream& operator>>(istream& is, vector<T>& v) { repea(x, v) is >> x; return is; }
template <class T> inline vector<T>& operator--(vector<T>& v) { repea(x, v) --x; return v; }
template <class T> inline vector<T>& operator++(vector<T>& v) { repea(x, v) ++x; return v; }

#endif // 折りたたみ用


#if __has_include(<atcoder/all>)
#include <atcoder/all>
using namespace atcoder;

#ifdef _MSC_VER
#include "localACL.hpp"
#endif

//using mint = modint1000000007;
using mint = modint998244353;
//using mint = modint; // mint::set_mod(m);

namespace atcoder {
	inline istream& operator>>(istream& is, mint& x) { ll x_; is >> x_; x = x_; return is; }
	inline ostream& operator<<(ostream& os, const mint& x) { os << x.val(); return os; }
}
using vm = vector<mint>; using vvm = vector<vm>; using vvvm = vector<vvm>; using vvvvm = vector<vvvm>;
#endif


#ifdef _MSC_VER // 手元環境（Visual Studio）
#include "local.hpp"
#else // 提出用（gcc）
inline int popcount(int n) { return __builtin_popcount(n); }
inline int popcount(ll n) { return __builtin_popcountll(n); }
inline int lsb(int n) { return n != 0 ? __builtin_ctz(n) : -1; }
inline int lsb(ll n) { return n != 0 ? __builtin_ctzll(n) : -1; }
inline int msb(int n) { return n != 0 ? (31 - __builtin_clz(n)) : -1; }
inline int msb(ll n) { return n != 0 ? (63 - __builtin_clzll(n)) : -1; }
inline int msb(__int128 n) { return (n >> 64) != 0 ? (127 - __builtin_clzll((ll)(n >> 64))) : n != 0 ? (63 - __builtin_clzll((ll)(n))) : -1; }
#define gcd __gcd
#define dump(...)
#define dumpel(v)
#define dump_list(v)
#define dump_mat(v)
#define input_from_file(f)
#define output_to_file(f)
#define Assert(b) { if (!(b)) while (1) cout << "OLE"; }
#endif


int main() {
//	input_from_file("input.txt");
//	output_to_file("output.txt");

	int n, k;
	cin >> n >> k;

	vi c(n), d(n);
	cin >> c >> d;

	c.push_back(1);
	d.push_back(0);

	vector<pair<int, mint>> res(k + 1, { -INF, 0 });
	dump(res);

	vector<pair<int, mint>> pow2(k + 1, { -INF, 0 });
	rep(i, n + 1) {
		if (c[i] > k) continue;

		auto [deg, coef] = pow2[c[i]];

		if (deg < d[i]) pow2[c[i]] = { d[i], 1 };
		else if (deg == d[i]) pow2[c[i]] = { deg, coef + 1 };
	}
	dump(pow2);

	vector<pair<int, mint>> sumpow2(k + 1, { -INF, 0 });
	sumpow2[0] = { 0, 1 };
	dump(sumpow2);

	// pow2 = r^(2^i), sumpow2 = 1 + r + ... + r^((2^i) - 1)
	int m = k + 1;
	while (m > 0) {
		if (m & 1) {
			vector<pair<int, mint>> nres(k + 1, { -INF, 0 });
			repi(i1, 0, k) {
				auto [deg1, coef1] = res[i1];

				repi(i2, 0, k - i1) {
					auto [deg2, coef2] = pow2[i2];

					auto [deg, coef] = nres[i1 + i2];

					int ndeg = deg1 + deg2;
					mint ncoef = coef1 * coef2;

					if (deg < ndeg) nres[i1 + i2] = { ndeg, ncoef };
					else if (deg == ndeg) nres[i1 + i2] = { deg, coef + ncoef };
				}
			}

			repi(i, 0, k) {
				auto [deg, coef] = nres[i];
				auto [deg2, coef2] = sumpow2[i];

				if (deg < deg2) nres[i] = { deg2, coef2 };
				else if (deg == deg2) nres[i] = { deg, coef + coef2 };
			}

			res = move(nres);
		}

		vector<pair<int, mint>> nsumpow2(k + 1, { -INF, 0 });
		repi(i1, 0, k) {
			auto [deg1, coef1] = sumpow2[i1];

			repi(i2, 0, k - i1) {
				auto [deg2, coef2] = pow2[i2];

				auto [deg, coef] = nsumpow2[i1 + i2];

				int ndeg = deg1 + deg2;
				mint ncoef = coef1 * coef2;

				if (deg < ndeg) nsumpow2[i1 + i2] = { ndeg, ncoef };
				else if (deg == ndeg) nsumpow2[i1 + i2] = { deg, coef + ncoef };
			}
		}
		repi(i, 0, k) {
			auto [deg, coef] = nsumpow2[i];
			auto [deg2, coef2] = sumpow2[i];

			if (deg < deg2) nsumpow2[i] = { deg2, coef2 };
			else if (deg == deg2) nsumpow2[i] = { deg, coef + coef2 };
		}
		sumpow2 = move(nsumpow2);

		vector<pair<int, mint>> npow2(k + 1, { -INF, 0 });
		repi(i1, 0, k) {
			auto [deg1, coef1] = pow2[i1];

			repi(i2, 0, k - i1) {
				auto [deg2, coef2] = pow2[i2];

				auto [deg, coef] = npow2[i1 + i2];

				int ndeg = deg1 + deg2;
				mint ncoef = coef1 * coef2;

				if (deg < ndeg) npow2[i1 + i2] = { ndeg, ncoef };
				else if (deg == ndeg) npow2[i1 + i2] = { deg, coef + ncoef };
			}
		}
		pow2 = move(npow2);

		m /= 2;
		dump(res);
	}

	cout << res[k].first << endl;
	cout << res[k].second << endl;
}