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Feb 10th, 2020
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  1. #include <iostream>
  2. #include <iomanip>
  3. #include <algorithm>
  4. #include <bitset>
  5. #include <set>
  6. #include <unordered_set>
  7. #include <map>
  8. #include <unordered_map>
  9. #include <cmath>
  10. #include <time.h>
  11. #include <random>
  12. #include <string>
  13. #include <cassert>
  14. #include <vector>
  15. #include <ostream>
  16. #include <istream>
  17. #include <stack>
  18. #include <deque>
  19. #include <queue>
  20. #include <functional>
  21.  
  22. using namespace std;
  23.  
  24. #define int long long
  25. #define pb push_back
  26. #define all(a) (a).begin(), (a).end()
  27. #define pii pair<int, int>
  28. #define ld long double
  29.  
  30. ostream& operator << (ostream &a, const vector<int> &b) {
  31. for (auto k : b) cout << k << " ";
  32. return a;
  33. }
  34.  
  35. #ifdef LOCAL
  36. #define dbg(x) cout << #x << " : " << (x) << "\n";
  37. const int INF = 1e18;
  38. // const int mod = 2600000069;
  39. // const int p = 10;
  40. // const ld PI = 3.1415926535;
  41. #else
  42. #define dbg(x)
  43. const int INF = 1e18;
  44. // const int mod = 2600000069;
  45. // const int p = 179;
  46. // const ld PI = 3.1415926535;
  47. #endif
  48.  
  49. //#pragma GCC optimize("Ofast,no-stack-protector")
  50. //#pragma GCC target("sse,sse2,sse3,sse3,sse4")
  51. //#pragma GCC optimize("unroll-loops")
  52. //#pragma GCC optimize("fast-math")
  53. //#pragma GCC target("avx2")
  54. //#pragma GCC optimize("section-anchors")
  55. //#pragma GCC optimize("profile-values,profile-reorder-functions,tracer")
  56. //#pragma GCC optimize("vpt")
  57. //#pragma GCC optimize("rename-registers")
  58. //#pragma GCC optimize("move-loop-invariants")
  59. //#pragma GCC optimize("unswitch-loops")
  60. //#pragma GCC optimize("function-sections")
  61. //#pragma GCC optimize("data-sections")
  62.  
  63. int n, m;
  64. const int MAXN = 110;
  65. vector<vector<int>> g;
  66. vector<pii> comp;
  67. vector<pii> used;
  68.  
  69. int cnt1, cnt2, t = 0;
  70. bool ok = 1;
  71.  
  72. int rev(int k) {
  73. if (k == 1) return 2;
  74. if (k == 2) return 1;
  75. }
  76.  
  77. void dfs(int v, int c) {
  78. used[v].first = c;
  79. used[v].second = t;
  80. if (c == 1) cnt1++;
  81. else cnt2++;
  82. for (auto u : g[v]) {
  83. if (!used[u].first) {
  84. dfs(u, rev(c));
  85. } else if (used[u].first == c) {
  86. ok = 0;
  87. }
  88. }
  89. }
  90.  
  91. bool dp[MAXN][MAXN], par[MAXN][MAXN];
  92.  
  93. signed main() {
  94. // ios_base::sync_with_stdio(0);
  95. // cin.tie(0);
  96. // cout.tie(0);
  97. cin >> n >> m;
  98. n += n;
  99. g.resize(n);
  100. used.assign(n, {0, -1});
  101. int u, v;
  102. for (int i = 0; i < m; i++) {
  103. cin >> u >> v;
  104. u--, v--;
  105. g[u].pb(v);
  106. g[v].pb(u);
  107. }
  108. for (int i = 0; i < n; i++) {
  109. if (!used[i].first) {
  110. cnt1 = cnt2 = 0;
  111. dfs(i, 1);
  112. comp.pb({cnt1, cnt2});
  113. t++;
  114. }
  115. }
  116. if (!ok) {
  117. cout << "IMPOSSIBLE\n";
  118. return 0;
  119. }
  120. int sz = t;
  121. dp[0][comp[0].first] = dp[0][comp[0].second] = 1;
  122. for (int i = 1; i < sz; i++) {
  123. for (int j = 0; j <= n / 2 - comp[i].first; j++) {
  124. if (dp[i - 1][j]) {
  125. dp[i][j + comp[i].first] = 1;
  126. par[i][j + comp[i].first] = 0;
  127. }
  128. }
  129. for (int j = 0; j <= n / 2 - comp[i].second; j++) {
  130. if (dp[i - 1][j]) {
  131. dp[i][j + comp[i].second] = 1;
  132. par[i][j + comp[i].second] = 1;
  133. }
  134. }
  135. }
  136. if (!dp[sz - 1][n / 2]) {
  137. cout << "IMPOSSIBLE\n";
  138. return 0;
  139. }
  140. int cur = n / 2;
  141. vector<int> ans1, ans2;
  142. for (int i = sz - 1; i >= 0; i--) {
  143. if (!par[i][cur]) {
  144. for (int j = 0; j < n; j++) {
  145. if (used[j].second == i) {
  146. if (used[j].first == 1) ans1.pb(j + 1);
  147. else ans2.pb(j + 1);
  148. }
  149. }
  150. cur -= comp[i].first;
  151. } else {
  152. for (int j = 0; j < n; j++) {
  153. if (used[j].second == i) {
  154. if (used[j].first == 1) ans2.pb(j + 1);
  155. else ans1.pb(j + 1);
  156. }
  157. }
  158. cur -= comp[i].second;
  159. }
  160. }
  161. assert(ans1.size() == n / 2 && ans2.size() == n / 2);
  162. cout << ans1 << "\n" << ans2;
  163. }
  164. /*
  165.  
  166. */
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