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- #include <iostream>
- #include <iomanip>
- #include <algorithm>
- #include <bitset>
- #include <set>
- #include <unordered_set>
- #include <map>
- #include <unordered_map>
- #include <cmath>
- #include <time.h>
- #include <random>
- #include <string>
- #include <cassert>
- #include <vector>
- #include <ostream>
- #include <istream>
- #include <stack>
- #include <deque>
- #include <queue>
- #include <functional>
- using namespace std;
- #define int long long
- #define pb push_back
- #define all(a) (a).begin(), (a).end()
- #define pii pair<int, int>
- #define ld long double
- ostream& operator << (ostream &a, const vector<int> &b) {
- for (auto k : b) cout << k << " ";
- return a;
- }
- #ifdef LOCAL
- #define dbg(x) cout << #x << " : " << (x) << "\n";
- const int INF = 1e18;
- // const int mod = 2600000069;
- // const int p = 10;
- // const ld PI = 3.1415926535;
- #else
- #define dbg(x)
- const int INF = 1e18;
- // const int mod = 2600000069;
- // const int p = 179;
- // const ld PI = 3.1415926535;
- #endif
- //#pragma GCC optimize("Ofast,no-stack-protector")
- //#pragma GCC target("sse,sse2,sse3,sse3,sse4")
- //#pragma GCC optimize("unroll-loops")
- //#pragma GCC optimize("fast-math")
- //#pragma GCC target("avx2")
- //#pragma GCC optimize("section-anchors")
- //#pragma GCC optimize("profile-values,profile-reorder-functions,tracer")
- //#pragma GCC optimize("vpt")
- //#pragma GCC optimize("rename-registers")
- //#pragma GCC optimize("move-loop-invariants")
- //#pragma GCC optimize("unswitch-loops")
- //#pragma GCC optimize("function-sections")
- //#pragma GCC optimize("data-sections")
- int n, m;
- const int MAXN = 110;
- vector<vector<int>> g;
- vector<pii> comp;
- vector<pii> used;
- int cnt1, cnt2, t = 0;
- bool ok = 1;
- int rev(int k) {
- if (k == 1) return 2;
- if (k == 2) return 1;
- }
- void dfs(int v, int c) {
- used[v].first = c;
- used[v].second = t;
- if (c == 1) cnt1++;
- else cnt2++;
- for (auto u : g[v]) {
- if (!used[u].first) {
- dfs(u, rev(c));
- } else if (used[u].first == c) {
- ok = 0;
- }
- }
- }
- bool dp[MAXN][MAXN], par[MAXN][MAXN];
- signed main() {
- // ios_base::sync_with_stdio(0);
- // cin.tie(0);
- // cout.tie(0);
- cin >> n >> m;
- n += n;
- g.resize(n);
- used.assign(n, {0, -1});
- int u, v;
- for (int i = 0; i < m; i++) {
- cin >> u >> v;
- u--, v--;
- g[u].pb(v);
- g[v].pb(u);
- }
- for (int i = 0; i < n; i++) {
- if (!used[i].first) {
- cnt1 = cnt2 = 0;
- dfs(i, 1);
- comp.pb({cnt1, cnt2});
- t++;
- }
- }
- if (!ok) {
- cout << "IMPOSSIBLE\n";
- return 0;
- }
- int sz = t;
- dp[0][comp[0].first] = dp[0][comp[0].second] = 1;
- for (int i = 1; i < sz; i++) {
- for (int j = 0; j <= n / 2 - comp[i].first; j++) {
- if (dp[i - 1][j]) {
- dp[i][j + comp[i].first] = 1;
- par[i][j + comp[i].first] = 0;
- }
- }
- for (int j = 0; j <= n / 2 - comp[i].second; j++) {
- if (dp[i - 1][j]) {
- dp[i][j + comp[i].second] = 1;
- par[i][j + comp[i].second] = 1;
- }
- }
- }
- if (!dp[sz - 1][n / 2]) {
- cout << "IMPOSSIBLE\n";
- return 0;
- }
- int cur = n / 2;
- vector<int> ans1, ans2;
- for (int i = sz - 1; i >= 0; i--) {
- if (!par[i][cur]) {
- for (int j = 0; j < n; j++) {
- if (used[j].second == i) {
- if (used[j].first == 1) ans1.pb(j + 1);
- else ans2.pb(j + 1);
- }
- }
- cur -= comp[i].first;
- } else {
- for (int j = 0; j < n; j++) {
- if (used[j].second == i) {
- if (used[j].first == 1) ans2.pb(j + 1);
- else ans1.pb(j + 1);
- }
- }
- cur -= comp[i].second;
- }
- }
- assert(ans1.size() == n / 2 && ans2.size() == n / 2);
- cout << ans1 << "\n" << ans2;
- }
- /*
- */
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