#include<bits/stdc++.h>
#define int long long
using namespace std;
int read()
{
int x = 0, f = 1;
char c = getchar();
while(c != EOF and !isdigit(c))
{
if(c == '-')f = -1;
c = getchar();
}
while(isdigit(c))
{
x = x * 10 + c - '0';
c = getchar();
}
return x * f;
}
int n, m, k, w;
struct node{
int p, c;
}a[200010];
bool cmp(node x, node y)
{
return x.p < y.p;
}
vector<int>f;
vector<int>tmp;
bool solve(int as, int b)
{
//cout<<as<<' '<<b<<endl;
tmp.clear();
int pos = a[as].p, i = as, res = 0;
while(i <= b)
{
pos = a[i].p + k;
//cout<<"pos"<<pos<<endl;
if(pos > a[b+1].p)
{
sort(tmp.begin(), tmp.end());
res = a[b+1].p - k;
f.push_back(res);
for(int j = tmp.size()-1;j >= 0;j --)
{
int s = tmp[j];
if(a[s].p + k - 1 >= res)
{
res = res - k;
f.push_back(res);
}
else{
for(int q = 0;q <= j;q ++)f.push_back(a[tmp[q]].p);
return true;
}
if(res <= a[as - 1].p)return false;
}
return true;
}
tmp.push_back(i);
while(a[i].p < pos and i <= b)i ++;
//cout<<"i"<<i<<endl;
}
// tmp.push_back();
for(int q = 0;q < tmp.size();q ++)f.push_back(a[tmp[q]].p);
return true;
}
signed main()
{
int T = read();
for(int t = 1;t <= T;t ++)
{
n = read();
m = read();
k = read();
w = read();
a[0]= {0, 2};
a[n+m+1] = {w+1, 2};
for(int i = 1;i <= n;i ++)
{
a[i].p = read();
a[i].c = 1;
}
for(int i = 1;i <= m;i ++)
{
a[n+i].p = read();
a[n+i].c = 2;
}
if(t == 33)
{
cout<<n<<' '<<m<<' '<<k<' '<<w<<endl;
for(int i = 1;i <= n+m;i++)cout<<a[i].p<<' ';
cout<<endl;
}
sort(a, a+n+m+2, cmp);
int pos = 0, flag = 1;
for(int i = 0;i <= n + m + 1;i ++)
{
if(a[i].c == 1)
{
if(pos == 0)
{
pos = i;
}
}
else if(a[i].c == 2)
{
if(pos != 0)
{
if(pos == i - 1)
{
int d = a[i].p - a[pos - 1].p - 1;
if(d < k)
{
//cout<<"why";
flag = 0;
break;
}
f.push_back(min(a[pos].p, a[i].p - k));
}
else
{
//cout<<"fuck\n";
if(! solve(pos, i-1))
{
flag = 0;
break;
}
}
pos = 0;
}
}
}
if(! flag)cout<<-1<<'\n';
else
{
sort(f.begin(), f.end());
cout<<f.size()<<'\n';
for(int i = 0;i < f.size();i ++)
{
cout<<f[i]<<' ';
}
cout<<endl;
}
for(int i= 0;i <= n+m+1;i ++)a[i] = {0, 0};
f.clear();
}
return 0;
}