#include<cstdio>
typedef long long ll;
inline ll read(){
	ll x=0;
	int f=0,ch=0;
	while(ch<48||ch>57) f=(ch=='-'),ch=getchar();
	while(ch>47&&ch<58) x=(x<<3)+(x<<1)+(ch&15),ch=getchar();
	return f?-x:x;
}
inline void write(ll x,char end=' '){
	if(x==0){
		putchar('0');
		putchar(end);
		return;
	}
	if(x<0) putchar('-'),x=-x;
	int ch[40]={0},cnt=0;
	while(x){
		ch[cnt++]=(int)(x%10);
		x/=10;
	}
	while(cnt--) putchar(ch[cnt]+48);
	putchar(end);
}
inline ll max(ll x,ll y){return x>y?x:y;}
int a[105];
ll v[105];
int n,m,r;
ll p;
ll dp[105][105];
ll f[105][105][105];
int cnt[105];
int main(){
	int T=read();
	while(T--){
		n=read(),m=read(),r=read(),p=read();
		for(int i=1;i<=m;++i) cnt[i]=0;
		for(int i=1;i<=n;++i) a[i]=read(),cnt[a[i]]++;
		for(int i=1;i<=m;++i) v[i]=read();
		for(int l=n;l>=1;--l){
			for(int r=l;r<=n;++r){
				dp[l][r]=-1e18;
				for(int k=0;k<=cnt[a[r]];++k)
					f[l][r][k]=-1e18;
				if(l==r){
					dp[l][r]=v[a[l]];
					f[l][r][1]=0;
					continue;
				}
				f[l][r][1]=0;
				for(int p=l;p<r;++p){
					if(a[p]==a[r]){
						for(int i=1;i<cnt[a[r]];++i){
							ll x=f[l][r][i+1];
							ll y=f[l][p][i]+dp[p+1][r-1];
							f[l][r][i+1]=max(x,y);
						}
					}
				}
				for(int k=l;k<r;++k)
					dp[l][r]=max(dp[l][r],dp[l][k]+dp[k+1][r]);
				for(int k=l;k<=r;++k){
					ll c=v[a[k]];
					for(int lg=0;lg<=r-1&&(1<<lg)<=cnt[a[k]];++lg){
						int d=1<<lg;
						dp[l][r]=max(dp[l][r],f[l][k][d]+c+dp[k+1][r]);
						c*=p;
					}
				}
			}
		}
		write(dp[1][n],'\n');
	}
	return 0;
}