1
  2
  3
  4
  5
  6
  7
  8
  9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
 20
 21
 22
 23
 24
 25
 26
 27
 28
 29
 30
 31
 32
 33
 34
 35
 36
 37
 38
 39
 40
 41
 42
 43
 44
 45
 46
 47
 48
 49
 50
 51
 52
 53
 54
 55
 56
 57
 58
 59
 60
 61
 62
 63
 64
 65
 66
 67
 68
 69
 70
 71
 72
 73
 74
 75
 76
 77
 78
 79
 80
 81
 82
 83
 84
 85
 86
 87
 88
 89
 90
 91
 92
 93
 94
 95
 96
 97
 98
 99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
//
#ifndef __SIZEOF_INT128__
#define __SIZEOF_INT128__
#endif
#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/priority_queue.hpp>
using namespace std;
using namespace chrono;
using namespace __gnu_pbds;
template <typename T> using oset =  tree<T, null_type, less_equal<T>, rb_tree_tag, tree_order_statistics_node_update>;
#define rep(i, p, k) for(int i(p); i < k; ++i)
#define per(i, p, k) for(int i(p); i > k; --i)
#define sz(x) (int)x.size()
#define sc static_cast
typedef long long ll;
typedef long double ld;
typedef unsigned int uint;
typedef unsigned long long ull;
typedef __int128_t lll;
//#define int ll
template <typename T = int> using par = std::pair <T, T>;
#define fir first
#define sec second
#define test int _number_of_tests(in()); while(_number_of_tests--)
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define pb emplace_back
struct Timer {
    string name{""};
    time_point<high_resolution_clock> end, start{high_resolution_clock::now()};
    duration<float, std::milli> dur;
    Timer() = default;
    Timer(string name): name(name) {}
    ~Timer() {
        end = high_resolution_clock::now(); dur= end - start;
        cout << "@" << name << "> " << dur.count() << " ms" << '\n';
    }
};
template <typename T = int> inline T in()
{
    T x;
    std::cin >> x;
    return x;
}
std::string yn(bool b)
{
    if(b) return "YES\n";
    else return "NO\n";
}
template <typename F, typename S> std::ostream& operator<<(std::ostream& out, const std::pair <F, S>& par);
template <typename T> std::ostream& operator<< (std::ostream& out, const std::vector <T>& wek)
{
    for(const auto& i : wek)out << i << ' ';
    return out;
}
template <typename T> std::ostream& operator<< (std::ostream& out, const std::set <T>& wek)
{
    for(const auto& i : wek)out << i << ' ';
    return out;
}
template <typename F, typename S> std::ostream& operator<<(std::ostream& out, const std::pair <F, S>& par)
{
    out << '{'<<par.first<<", "<<par.second<<"}";
    return out;
}
#define show(x) cout << #x << " = " << x << '\n';
constexpr int MAXN = 1003;
vector <int> graf[MAXN];
const int RANDOM = chrono::high_resolution_clock::now().time_since_epoch().count();

struct chash {

	int operator()(pair <int, int> x) const { return (x.first*MAXN + x.second) ^ RANDOM; }

};
gp_hash_table<pair <int, int>, bool, chash> E;
int n, m, k;
pair <int, vector <int>> odp(int d)
{
    if(!sz(E))return {0, {}};
    if(d > k)return {int(1e9), {}};
    pair <int, int> k(E.begin()->first);
    pair <int, vector <int>> o[2];
    int b(-1);
    for(int v: {k.first, k.second}){++b;
        vector <pair<int, int>> e2;
        for(auto w: graf[v])if(E.find({min(v, w), max(v, w)}) != E.end()){
            E.erase({min(v, w), max(v, w)});
            e2.pb(min(v, w), max(v, w));
        }
        o[b] = odp(d+1);
        if(o[b].first < 1e9){
            o[b].second.push_back(v);
            ++o[b].first;
        }
        for(auto i: e2)E[i] = 1;
    }
    if(o[0].first < o[1].first)return o[0];
    if(o[1].first < o[0].first)return o[1];
    for(auto i: o[1].second)o[0].second.pb(i);
    sort(all(o[0].second));
    o[0].second.erase(unique(all(o[0].second)), o[0].second.end());
    return o[0];
}
std::int32_t main()
{
    std::cin.tie(nullptr); std::cout.tie(nullptr); std::ios_base::sync_with_stdio(0);
    test
    {
        cin >> n >> m >> k;
        rep(i, 1, n+1)graf[i].clear();
        E.clear();
        rep(i, 0, m){
            int a(in()), b(in());
            if(a > b)swap(a, b);
            graf[a].pb(b);
            graf[b].pb(a);
            E[{a, b}] = 1;
        }
        auto o(odp(1));
        if(o.first == 1e9)cout << "-1\n";
        else{
            sort(all(o.second));
            cout << o.first << ' ' << sz(o.second) << '\n';
            for(auto i: o.second)cout << i << ' ';
            cout << '\n';
        }
    }
    return 0;
}