//#pragma GCC optimize("Ofast,no-stack-protector")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx")
//#pragma GCC optimize("Ofast,fast-math")
//#pragma GCC target("avx,avx2")
//#pragma GCC optimize(2)
//#pragma GCC optimize(3)
//#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
using namespace std;
//#define int long long
typedef pair<int, int> pii;
typedef vector<int> vi;
typedef double db;
#define F(i, a, b) for(int i = a; i <= (b); ++i)
#define F2(i, a, b) for(int i = a; i < (b); ++i)
#define dF(i, a, b) for(int i = a; i >= (b); --i)
template<typename T> void debug(string s, T x) {
	cerr << "[" << s << "] = [" << x << "]\n";
}
template<typename T, typename... Args> void debug(string s, T x, Args... args) {
	for (int i = 0, b = 0; i < (int)s.size(); i++) if (s[i] == '(' || s[i] == '{') b++;
	else if (s[i] == ')' || s[i] == '}') b--;
	else if (s[i] == ',' && b == 0) {
		cerr << "[" << s.substr(0, i) << "] = [" << x << "] | ";
		debug(s.substr(s.find_first_not_of(' ', i + 1)), args...);
		break;
	}
}
#ifdef ONLINE_JUDGE
#define Debug(...)
#else
#define Debug(...) debug(#__VA_ARGS__, __VA_ARGS__)
#endif
#define pb push_back
#define fi first
#define se second
#define Mry fprintf(stderr, "%.3lf MB\n", (&Med - &Mbe) / 1048576.0)
#define Try cerr << 1e3 * clock() / CLOCKS_PER_SEC << " ms\n";
typedef long long ll;
// namespace Fread {const int SIZE = 1 << 17; char buf[SIZE], *S, *T; inline char getchar() {if (S == T) {T = (S = buf) + fread(buf, 1, SIZE, stdin); if (S == T) return '\n';} return *S++;}}
// namespace Fwrite {const int SIZE = 1 << 17; char buf[SIZE], *S = buf, *T = buf + SIZE; inline void flush() {fwrite(buf, 1, S - buf, stdout), S = buf;} inline void putchar(char c) {*S++ = c;if (S == T) flush();} struct NTR {~NTR() {flush();}} ztr;}
// #ifdef ONLINE_JUDGE
// #define getchar Fread::getchar
// #define putchar Fwrite::putchar
// #endif
inline int ri() {
	int x = 0;
	bool t = 0;
	char c = getchar();
	while (c < '0' || c > '9') t |= c == '-', c = getchar();
	while (c >= '0' && c <= '9') x = (x << 3) + (x << 1) + (c ^ 48), c = getchar();
	return t ? -x : x;
}
inline void wi(int x) {
	if (x < 0) {
		putchar('-'), x = -x;
	}
	if (x > 9) wi(x / 10);
	putchar(x % 10 + 48);
}
inline void wi(int x, char s) {
	wi(x), putchar(s);
}
bool Mbe;
// mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count());
const int mod = 998244353;
const int inf = 0x3f3f3f3f;
const ll infll = 0x3f3f3f3f3f3f3f3f;
const int _ = 2e5 + 5;

int n, m, k, w;

int a[_], b[_];

void solve() {
	n = ri(), m = ri(), k = ri(), w = ri();
	F(i, 1, n) a[i] = ri();
	F(i, 1, m) b[i] = ri();
	sort(a + 1, a + n + 1);
	sort(b + 1, b + m + 1);
	b[0] = 0, b[m + 1] = w + 1;
	vector<pii> A;
	F(i, 1, m + 1) if(b[i] > b[i - 1] + 1) {
		A.pb(make_pair(b[i - 1] + 1, b[i] - 1));
	}
	for(pii v : A) {
		int l = lower_bound(a + 1, a + n + 1, v.fi) - a;
		int r = upper_bound(a + 1, a + n + 1, v.se) - a - 1;
		if(l > r) continue;
		int fang = (v.se - v.fi + 1) / k;
		int tot = (v.se - v.fi + 1) - fang * k; // 最少tot个不放
		if(v.se - v.fi + 1 - (r - l + 1) < tot) {
			puts("-1");
			return;
		}
	}
//	Debug("114");
	vi ans;
	for(pii v : A) {
		Debug(v.fi, v.se);
		int l = lower_bound(a + 1, a + n + 1, v.fi) - a;
		int r = upper_bound(a + 1, a + n + 1, v.se) - a - 1;
		if(l > r) continue;
		int lst = v.fi - 1;
		F(j, l, r) {
			int p = upper_bound(a + 1, a + n + 1, a[j] + k - 1) - a - 1;
			int L = max(lst + 1, a[j] - k + 1);
			if(L + k - 1 > v.se) {
				puts("-1");
				return;
			}
			int l2 = L, r2 = min(a[j], v.se - k + 1), mid, R = L;
			while(l2 <= r2) {
				mid = (l2 + r2) >> 1;
				int p = upper_bound(a + 1, a + n + 1, mid + k - 1) - a;
				if((v.se - mid + 1) / k * k >= r - p + 1) {
					R = mid;
					l2 = mid+ 1;
				} else r2 = mid - 1;
			}
			if(L > R) {
				puts("-1");
				return;
			}
			// 放在了 x
			// v.se-x+1 - (r-p+1) >=(v.se - x + 1) % k
			ans.pb(R);
			lst = R + k - 1;
			j = upper_bound(a + 1, a + n + 1, lst) - a - 1;
		}
	}
	cout << ans.size() << '\n';
	for(int v : ans) cout << v << ' ';
	cout <<'\n';
}
bool Med;
signed main() {
	// Mry;
	int T = ri();
	while(T--) solve();
	// Try;
	return 0;
}

/*
24 196055605
ginganjingnanjingnanjing
*/