#line 1 "H.cpp"
// #pragma GCC target("avx2,avx512f,avx512vl,avx512bw,avx512dq,avx512cd,avx512vbmi,avx512vbmi2,avx512vpopcntdq,avx512bitalg,bmi,bmi2,lzcnt,popcnt")
// #pragma GCC optimize("Ofast")

#line 2 "/home/sigma/comp/library/template.hpp"

#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using uint = unsigned int;
using ull = unsigned long long;
#define rep(i,n) for(int i=0;i<int(n);i++)
#define rep1(i,n) for(int i=1;i<=int(n);i++)
#define per(i,n) for(int i=int(n)-1;i>=0;i--)
#define per1(i,n) for(int i=int(n);i>0;i--)
#define all(c) c.begin(),c.end()
#define si(x) int(x.size())
#define pb push_back
#define eb emplace_back
#define fs first
#define sc second
template<class T> using V = vector<T>;
template<class T> using VV = vector<vector<T>>;
template<class T,class U> bool chmax(T& x, U y){
	if(x<y){ x=y; return true; }
	return false;
}
template<class T,class U> bool chmin(T& x, U y){
	if(y<x){ x=y; return true; }
	return false;
}
template<class T> void mkuni(V<T>& v){sort(all(v));v.erase(unique(all(v)),v.end());}
template<class T> int lwb(const V<T>& v, const T& a){return lower_bound(all(v),a) - v.begin();}
template<class T>
V<T> Vec(size_t a) {
    return V<T>(a);
}
template<class T, class... Ts>
auto Vec(size_t a, Ts... ts) {
  return V<decltype(Vec<T>(ts...))>(a, Vec<T>(ts...));
}
template<class S,class T> ostream& operator<<(ostream& o,const pair<S,T> &p){
	return o<<"("<<p.fs<<","<<p.sc<<")";
}
template<class T> ostream& operator<<(ostream& o,const vector<T> &vc){
	o<<"{";
	for(const T& v:vc) o<<v<<",";
	o<<"}";
	return o;
}
constexpr ll TEN(int n) { return (n == 0) ? 1 : 10 * TEN(n-1); }

#ifdef LOCAL
#define show(x) cerr << "LINE" << __LINE__ << " : " << #x << " = " << (x) << endl
void dmpr(ostream& os){os<<endl;}
template<class T,class... Args>
void dmpr(ostream&os,const T&t,const Args&... args){
	os<<t<<" ~ ";
	dmpr(os,args...);
}
#define shows(...) cerr << "LINE" << __LINE__ << " : ";dmpr(cerr,##__VA_ARGS__)
#define dump(x) cerr << "LINE" << __LINE__ << " : " << #x << " = {";  \
	for(auto v: x) cerr << v << ","; cerr << "}" << endl;
#else
#define show(x) void(0)
#define dump(x) void(0)
#define shows(...) void(0)
#endif

template<class D> D divFloor(D a, D b){
	return a / b - (((a ^ b) < 0 && a % b != 0) ? 1 : 0);
}
template<class D> D divCeil(D a, D b) {
	return a / b + (((a ^ b) > 0 && a % b != 0) ? 1 : 0);
}
#line 1 "/home/sigma/comp/library/math/mint.cpp"
/*
	任意mod なら 
	template なくして costexpr の行消して global に unsigned int mod = 1;
	で cin>>mod してから使う
	任意 mod はかなり遅いので、できれば "atcoder/modint" を使う
*/

template<unsigned int mod_>
struct ModInt{	
	using uint = unsigned int;
	using ll = long long;
	using ull = unsigned long long;

	constexpr static uint mod = mod_;

	uint v;
	ModInt():v(0){}
	ModInt(ll _v):v(normS(_v%mod+mod)){}
	explicit operator bool() const {return v!=0;}
	static uint normS(const uint &x){return (x<mod)?x:x-mod;}		// [0 , 2*mod-1] -> [0 , mod-1]
	static ModInt make(const uint &x){ModInt m; m.v=x; return m;}
	ModInt operator+(const ModInt& b) const { return make(normS(v+b.v));}
	ModInt operator-(const ModInt& b) const { return make(normS(v+mod-b.v));}
	ModInt operator-() const { return make(normS(mod-v)); }
	ModInt operator*(const ModInt& b) const { return make((ull)v*b.v%mod);}
	ModInt operator/(const ModInt& b) const { return *this*b.inv();}
	ModInt& operator+=(const ModInt& b){ return *this=*this+b;}
	ModInt& operator-=(const ModInt& b){ return *this=*this-b;}
	ModInt& operator*=(const ModInt& b){ return *this=*this*b;}
	ModInt& operator/=(const ModInt& b){ return *this=*this/b;}
	ModInt& operator++(int){ return *this=*this+1;}
	ModInt& operator--(int){ return *this=*this-1;}
	template<class T> friend ModInt operator+(T a, const ModInt& b){ return (ModInt(a) += b);}
	template<class T> friend ModInt operator-(T a, const ModInt& b){ return (ModInt(a) -= b);}
	template<class T> friend ModInt operator*(T a, const ModInt& b){ return (ModInt(a) *= b);}
	template<class T> friend ModInt operator/(T a, const ModInt& b){ return (ModInt(a) /= b);}
	ModInt pow(ll p) const {
		if(p<0) return inv().pow(-p);
		ModInt a = 1;
		ModInt x = *this;
		while(p){
			if(p&1) a *= x;
			x *= x;
			p >>= 1;
		}
		return a;
	}
	ModInt inv() const {		// should be prime
		return pow(mod-2);
	}
	// ll extgcd(ll a,ll b,ll &x,ll &y) const{
	// 	ll p[]={a,1,0},q[]={b,0,1};
	// 	while(*q){
	// 		ll t=*p/ *q;
	// 		rep(i,3) swap(p[i]-=t*q[i],q[i]);
	// 	}
	// 	if(p[0]<0) rep(i,3) p[i]=-p[i];
	// 	x=p[1],y=p[2];
	// 	return p[0];
	// }
	// ModInt inv() const {
	// 	ll x,y;
	// 	extgcd(v,mod,x,y);
	// 	return make(normS(x+mod));
	// }

	bool operator==(const ModInt& b) const { return v==b.v;}
	bool operator!=(const ModInt& b) const { return v!=b.v;}
	bool operator<(const ModInt& b) const { return v<b.v;}
	friend istream& operator>>(istream &o,ModInt& x){
		ll tmp;
		o>>tmp;
		x=ModInt(tmp);
		return o;
	}
	friend ostream& operator<<(ostream &o,const ModInt& x){ return o<<x.v;}
	// friend ostream& operator<<(ostream &o,const ModInt& x){
	// 	for(int b=1;b<=1000;b++){
	// 		ModInt ib = ModInt(b).inv();
	// 		for(int a=-1000;a<=1000;a++){
	// 			if(ModInt(a) * ib == x){
	// 				return o << a << "/" << b;
	// 			}
	// 		}
	// 	}
	// 	return o<<x.v;
	// }
};
using mint = ModInt<998244353>;
//using mint = ModInt<1000000007>;

V<mint> fact,ifact,invs;
// a,b >= 0 のみ
mint Choose(int a,int b){
	if(b<0 || a<b) return 0;
	return fact[a] * ifact[b] * ifact[a-b];
}

/*
// b >= 0 の範囲で、 Choose(a,b) = a(a-1)..(a-b+1) / b!
mint Choose(int a,int b){
	if(b<0 || a<b) return 0;
	return fact[a] * ifact[b] * ifact[a-b];
}
*/

void InitFact(int N){	//[0,N]
	N++;
	fact.resize(N);
	ifact.resize(N);
	invs.resize(N);
	fact[0] = 1;
	rep1(i,N-1) fact[i] = fact[i-1] * i;
	ifact[N-1] = fact[N-1].inv();
	for(int i=N-2;i>=0;i--) ifact[i] = ifact[i+1] * (i+1);
	rep1(i,N-1) invs[i] = fact[i-1] * ifact[i];
}
#line 6 "H.cpp"

template<class D>
struct Segtree{
	int N;
	vector<D> val;

	Segtree(){}
	Segtree(int n){
		N = 1; while(N < n) N *= 2;
		val.assign(N*2, D());
	}
	template<class Dlike>
	Segtree(const vector<Dlike>& vs){
		int n = vs.size();
		N = 1; while(N < n) N *= 2;
		val.assign(N*2, D());
		rep(i,n) val[i+N] = vs[i];
		for(int i=N-1;i>0;i--) val[i] = D::op(val[i*2],val[i*2+1]);
	}
	void set(int k, D v){
		k += N;
		val[k] = v;
		k /= 2;
		while(k){
			val[k] = D::op(val[k*2],val[k*2+1]);
			k /= 2;
		}
	}
	void add(int k, D v){
		k += N;
		val[k] = D::op(val[k],v);
		k /= 2;
		while(k){
			val[k] = D::op(val[k*2],val[k*2+1]);
			k /= 2;
		}
	}
	D query(int a, int b){		//non-commutative & unrecursive
		D L = D() , R = D();
		a += N, b += N;
		while(a<b){
			if(a&1) L = D::op(L,val[a++]);
			if(b&1) R = D::op(val[--b],R);
			a /= 2, b /= 2;
		}
		return D::op(L,R);
	}
};

struct EG { ll g, x, y; };
EG extGcdSub(ll a, ll b) {
	if(b == 0){
		if (a >= 0) return EG{a, 1, 0};
		else return EG{-a, -1, 0};
	}else{
		auto e = extGcdSub(b, a % b);
		return EG{e.g, e.y, e.x - a / b * e.y};
	}
}
EG extGcd(ll a,ll b){
	auto e = extGcdSub(a,b);
	if(e.x < 0){
		if(b > 0){
			e.x += b/e.g;
			e.y -= a/e.g;
		}else{
			e.x -= b/e.g;
			e.y += a/e.g;
		}
	}
	return e;
}
/*
	xz + md? = g
*/
ll inv_mod(ll x, ll md) {
	auto z = extGcd(x, md).x;
	return (z % md + md) % md;
}

// struct Monoid{
// 	string s;
// 	Monoid():s(""){}
// 	Monoid(string s_):s(s_){}

// 	static Monoid op(const Monoid &a, const Monoid &b){
// 		return Monoid{a.s+b.s};
// 	}
// 	Monoid pow(ll p) const {
// 		Monoid a = Monoid();
// 		Monoid x = *this;
// 		while(p){
// 			if(p&1) a = op(a, x);
// 			x = op(x, x);
// 			p >>= 1;
// 		}
// 		return a;
// 	}
// 	friend ostream& operator<<(ostream &o,const Monoid& x){ return o<<x.s;}
// };

// array<array<T,11>,11>
template<class T>
struct Matrix: public array<array<T,11>,11>{

	Matrix(int h,int w){
		rep(i,h) rep(j,w) (*this)[i][j] = 0;
	}
	Matrix(const array<array<T,11>,11>& m){(*this) = m;}

	static Matrix E(int n){
		Matrix a(n,n);
		rep(i,n) a[i][i] = 1;
		return a;
	}
	int h() const { return (*this).size(); }
	int w() const { return (*this)[0].size(); }

	Matrix operator*(const Matrix& r) const {
		assert(w() == r.h());
		int A = h(), B = w(), C = r.w();
		Matrix z(A,C);
		rep(i,A) rep(k,B) rep(j,C) z[i][j] += (*this)[i][k] * r[k][j];
		return z;
	}
	Matrix& operator+=(const Matrix& r){return (*this)=(*this)+r;}
	Matrix& operator-=(const Matrix& r){return (*this)=(*this)-r;}
	Matrix& operator*=(const Matrix& r){return (*this)=(*this)*r;}

	Matrix pow(ll p) const {
		assert(h() == w());
		Matrix res = E(h());
		Matrix x = *this;
		while(p){
			if(p&1) res *= x;
			x *= x;
			p >>= 1;
		}
		return res;
	}

	friend ostream& operator<<(ostream &o,const Matrix& A){
		rep(i,A.h()){
			rep(j,A.w()) o << A[i][j]<<" ";
			o << endl;
		}
		return o;
	}
};
using Mat = Matrix<mint>;

int M;

struct Monoid{
	Mat m;
	Monoid():m(Mat::E(M+1)){}
	Monoid(Mat m_):m(m_){}

	static Monoid op(const Monoid &a, const Monoid &b){
		return Monoid{a.m*b.m};
	}
	Monoid pow(ll p) const {
		return Monoid{m.pow(p)};
	}
	friend ostream& operator<<(ostream &o,const Monoid& x){ return o<<x.m;}
};


template<class T>
T f(V<ll> xs, V<T> vs, ll K){
	show("-------------");
	show(xs); show(vs); show(K);

	int N = si(vs);
	assert(si(xs) == N + 1);
	assert(xs[0] == 0);

	if(N == 1) return vs[0].pow(xs[1]);

	ll L = xs[N];

	if(K > L/2){
		V<ll> nxs = {0};
		rep1(i,si(xs)-1){
			nxs.pb(L - xs[i] + 1);
		}
		nxs.pb(L);
		sort(all(nxs));
		V<T> nvs; nvs.pb(vs[0]);
		per(i,si(vs)) nvs.pb(vs[i]);
		return f(nxs, nvs, L-K);
	}

	V<ll> cands;
	for(ll x: xs) cands.pb(x%K);
	mkuni(cands);
	V<ll> nxs;
	V<T> nvs;
	vector<ll> buf(N, -1);
	Segtree<T> seg(N);
	for(ll r: cands){
		nxs.pb(r);
		rep(i,N){
			// [xs[i], xs[i+1]) にある qK + r の個数
			ll num = divFloor(xs[i+1]-r-1, K) - divFloor(xs[i]-r-1, K);
			if(num != buf[i]){
				buf[i] = num;
				seg.set(i, vs[i].pow(num));
			}
		}
		auto nv = seg.query(0, N);
		nvs.pb(nv);
	}
	nxs.pb(K);
	ll nK = L/K*K+K - L;
	return f(nxs, nvs, nK);
}

int main(){
	cin.tie(0);
	ios::sync_with_stdio(false);		//DON'T USE scanf/printf/puts !!
	cout << fixed << setprecision(20);

	// {
	// 	string s = string(10,'a') + string(6,'b') + string(10,'a') + string(1,'b');
	// 	string t;
	// 	rep(i,27) t += s[i*17%27];
	// 	int res = 0;
	// 	rep(i,27) for(int j = i+1;j<27;j++) if(t[i] == 'a' && t[j] == 'b') res++;
	// 	cout << res << endl;
	// 	return 0;
	// }

	int N; ll K,L; cin >> N >> M >> K >> L;
	K = inv_mod(K, L);

	V<int> t(M); rep(i,M) cin >> t[i];

	V<ll> xs;
	V<Monoid> vs;
	int sm = 0;
	xs.pb(sm);
	rep(i,N){
		int len, val; cin >> len >> val;
		sm += len;
		xs.pb(sm);
		Mat m(M+1,M+1); rep(j,M+1) m[j][j] = 1;
		rep(j,M) if(t[j] == val) m[j][j+1] = 1;
		vs.pb(Monoid(m));
	}
	Monoid res = f(xs, vs, K);
	cout << res.m[0][M] << endl;
}