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
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
#include <bits/stdc++.h>
#include <ext/numeric>
#include <unistd.h>
using namespace std;
using namespace rel_ops;
using namespace __gnu_cxx;

typedef long long ll;
typedef unsigned long long ull;
typedef unsigned uint;

#define ALL(c)          (c).begin(), (c).end()
#define REP(i, n)       for (int i = 0, $##i = (n); i < $##i; ++i)
#define FOR(i, b, e)    for (int i = (b), $##i = (e); i <= $##i; ++i)
#define FORD(i, b, e)   for (int i = (b), $##i = (e); i >= $##i; --i)
#define EACH(it, cont)  for (auto &it : cont)
#define ever ( ; ; )
#define skip continue
const int inf = 1000000001;

struct GetSizeHelper {
	int s;
	operator int () const { return s; }
	template<class T> GetSizeHelper(const T &t) : s((int) t.size()) {}
};
#define SIZE (GetSizeHelper)

template<class T> int unique(T &t, bool sorted = false) {
	if (!sorted) { sort(ALL(t)); }
	t.resize(unique(ALL(t)) - t.begin()); 
	return SIZE t;
}
template <class T, class U> bool remin(T &a, const U &b) { return b < a ? a = b, true : false; }
template <class T, class U> bool remax(T &a, const U &b) { return b > a ? a = b, true : false; }
template<class T> T fromString(const string &s) { T t; istringstream(s) >> t; return t; }
template<class T> string toString(const T &t) { ostringstream oss; oss << t; return oss.str(); }
struct StdinReader {
	StdinReader() { ios::sync_with_stdio(0); cin.tie(NULL); }
} stdinReader;
#define get stdinReader,

#ifndef KOO_AFL
template<class T> StdinReader &operator, (StdinReader &sr, T &t) { cin >> t; return sr; }
#else // BINARY_INPUT
template<class T> StdinReader &operator, (StdinReader &sr, T &t) { assert(sizeof(t) <= 8); read(0, &t, sizeof(t)) ; return sr; }
#endif

template<class T> StdinReader &operator, (StdinReader &sr, vector<T> &v) {
	for (auto &x : v) { sr, x; } return sr;
}
#define dump     fancy_dumper::DumpFirst<&std::cerr>(),
#define say      fancy_dumper::DumpFirst<&std::cout>(),
#define $dump    fancy_dumper::Dumper<&std::cerr>
#define $say     fancy_dumper::Dumper<&std::cout>
#ifndef $
#define $(x) #x, fancy_dumper::ToggleSeparator(), (x),\
                 fancy_dumper::ToggleSeparator()
#endif

namespace fancy_dumper {

struct ToggleSeparator { };

template<ostream *Out>
struct DumpFirst { };

template<ostream *Out>
struct Dumper {
	static void *&last() {
		static void *p;
		return p;
	}
	static const char *&separator() {
		static const char *s = " ";
		return s;
	}
	static const char *&separatorNewLine() {
		static const char *s = "\n";
		return s;
	}
	static const char *&unseparator() {
		static const char *s = "=";
		return s;
	}
	Dumper() {
		last() = this;
	}
	~Dumper() {
		if (this == last()) {
			*Out << separatorNewLine();
			last() = 0;
		}
	}
	Dumper operator, (ToggleSeparator) {
		std::swap(separator(), unseparator());
		return Dumper();
	}
};

template<ostream *Out, class T>
Dumper<Out> operator,(Dumper<Out>, const T &e) {
	*Out << Dumper<Out>::separator() << e;
	return Dumper<Out>();
}

template<ostream *Out, class T>
Dumper<Out> operator, (DumpFirst<Out>, const T &e) {
	*Out << e;
	return Dumper<Out>();
}

}

template<class T, class Y>
ostream &operator<< (ostream &o, const pair<T, Y> &p) {
	return o << p.first << ' ' << p.second;
}

template<class T>
ostream &operator<< (ostream &o, const vector<T> &v) {
	bool isBegin = true;
	EACH (e, v) {
		if (!isBegin) { o << ' '; }
		isBegin = false;
		o << e;
	}
	return o;
}

template<class T>
ostream &operator<< (ostream &o, const set<T> &v) {
	bool isBegin = true;
	EACH (e, v) {
		if (!isBegin) { o << ' '; }
		isBegin = false;
		o << e;
	}
	return o;
}

template<class T>
ostream &operator,(ostream &o, const T &t) {
	return o << t;
}
// code starts here



int main() {
	int n, m, d;
	get n, m, d;
	vector<vector<int>> g(n+1);
	vector<int> deg(n+1);
	
	REP (_, m) {
		int a, b;
		get a, b;
		g[a].push_back(b);
		g[b].push_back(a);
		++deg[a];
		++deg[b];
	}
	
	// prune
	vector<bool> del(n+1);
	vector<int> q;
	q.reserve(n);
	FOR (i, 1, n) {
		if (deg[i] < d) {
			q.push_back(i);
			del[i] = true;
		}
	}
	while (!q.empty()) {
		int v = q.back();
		q.pop_back();
		EACH (u, g[v]) {
			if (del[u]) {
				skip;
			}
			if (--deg[u] < d) {
				q.push_back(u);
				del[u] = true;
			}
		}
	}
	
	// look for components
	int cid = 0, k = 0, best = 0;
	vector<int> comp(n+1); // also 'visited'
	FOR (u, 1, n) {
		if (!del[u] && !comp[u]) {
			q.push_back(u);
			comp[u] = ++cid;
		}
		int curr = SIZE q;
		while (!q.empty()) {
			int v = q.back();
			q.pop_back();
			EACH (w, g[v]) {
				if (!del[w] && !comp[w]) {
					q.push_back(w);
					comp[w] = cid;
					++curr;
				}
			}
		}
		remax(k, curr) && (best = cid);
	}
	
	if (!k) {
		say "NIE";
	} else {
		say k;
		$say::separatorNewLine() = " ";
		FOR (i, 0, n) {
			if (comp[i] == best) {
				say i;
			}
		}
		$say::separatorNewLine() = "";
		say '\n';
	}
}