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  1. /*
  2. * @Author: hungeazy
  3. * @Date: 2026-02-28 14:02:04
  4. * @Last Modified by: hungeazy
  5. * @Last Modified time: 2026-02-28 14:42:40
  6. */
  7. #include <bits/stdc++.h>
  8. #include <ext/pb_ds/assoc_container.hpp>
  9. #include <ext/pb_ds/tree_policy.hpp>
  10. // #pragma GCC optimize("O3")
  11. // #pragma GCC optimize("unroll-loops")
  12. // #pragma GCC target("avx2,bmi,bmi2,popcnt,lzcnt")
  13. using namespace std;
  14. using namespace __gnu_pbds;
  15. bool M1;
  16. #define fast ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);
  17. #define int long long
  18. #define ll long long
  19. #define ull unsigned long long
  20. #define sz(x) x.size()
  21. #define sqr(x) (1LL * (x) * (x))
  22. #define all(x) x.begin(), x.end()
  23. #define fill(f,x) memset(f,x,sizeof(f))
  24. #define FOR(i,l,r) for(int i=l;i<=r;i++)
  25. #define FOD(i,r,l) for(int i=r;i>=l;i--)
  26. #define debug(x) cout << #x << " = " << x << '\n'
  27. #define ii pair<int,int>
  28. #define iii pair<int,ii>
  29. #define di pair<ii,ii>
  30. #define vi vector<int>
  31. #define vii vector<ii>
  32. #define mii map<int,int>
  33. #define fi first
  34. #define se second
  35. #define pb push_back
  36. #define MOD 1000000007
  37. #define __lcm(a,b) (1ll * ((a) / __gcd((a), (b))) * (b))
  38. #define YES cout << "YES\n"
  39. #define NO cout << "NO\n"
  40. #define MASK(i) (1LL << (i))
  41. #define c_bit(i) __builtin_popcountll(i)
  42. #define BIT(x,i) ((x) & MASK(i))
  43. #define SET_ON(x,i) ((x) | MASK(i))
  44. #define SET_OFF(x,i) ((x) & ~MASK(i))
  45. #define oo 1e18
  46. #define name "HOAN_VI_DEP"
  47. #define endl '\n'
  48. #define memory() cerr << abs(&M2-&M1)/1024.0/1024 << " MB" << endl
  49. #define time() cerr << endl << "-------------Time:" << 1000.0 * clock() / CLOCKS_PER_SEC << "ms." << endl
  50. template<typename T> bool maximize(T &res, const T &val) { if (res < val){ res = val; return true; }; return false; }
  51. template<typename T> bool minimize(T &res, const T &val) { if (res > val){ res = val; return true; }; return false; }
  52. template <class T> using ordered_set = tree <T, null_type, less_equal <T>, rb_tree_tag,tree_order_statistics_node_update>;
  53. int n,m,k;
  54.  
  55. namespace sub1 {
  56.  
  57. bool approved() {
  58. return n <= 10 and k <= 1e5;
  59. }
  60.  
  61. void solve(void)
  62. {
  63. vi perm, ans, first;
  64. FOR(i,1,n) perm.pb(i);
  65. int dem = 0;
  66. bool check = false;
  67. do {
  68. int cnt = 0;
  69. FOR(i,0,n-1)
  70. FOR(j,i+1,n-1)
  71. cnt += (perm[i] > perm[j]);
  72. dem += (cnt == m);
  73. if (dem == k)
  74. {
  75. ans = perm;
  76. check = true;
  77. break;
  78. }
  79. } while (next_permutation(all(perm)));
  80. if (!check)
  81. {
  82. cout << -1;
  83. return;
  84. }
  85. vii vec;
  86. FOR(i,0,n-1)
  87. if (ans[i] != i+1) vec.pb({i+1,ans[i]});
  88. cout << sz(vec) << endl;
  89. for (auto [x,y] : vec) cout << x << " " << y << endl;
  90. }
  91.  
  92. }
  93.  
  94. namespace sub2 {
  95.  
  96. const int N = (int)1e3+10, M = 210;
  97. int dp[N][M],pre[M],ans[N];
  98.  
  99. bool approved() {
  100. return n <= 1e3 and k <= 1e9;
  101. }
  102.  
  103. void solve(void)
  104. {
  105. int mxInv = n*(n-1)/2;
  106. if (m > mxInv)
  107. {
  108. cout << -1;
  109. return;
  110. }
  111. dp[0][0] = 1;
  112. FOR(i,1,n)
  113. {
  114. FOR(j,1,m) pre[j] = 0;
  115. pre[0] = dp[i-1][0];
  116. FOR(j,1,m) pre[j] = min((int)oo,pre[j-1]+dp[i-1][j]);
  117. FOR(j,0,m)
  118. {
  119. int val = pre[j];
  120. if (j-i >= 0) val -= pre[j-i];
  121. if (val < 0) val = 0;
  122. dp[i][j] = min((int)oo,val);
  123. }
  124. }
  125. if (dp[n][m] < k)
  126. {
  127. cout << -1;
  128. return;
  129. }
  130. vi perm(n);
  131. iota(all(perm),1);
  132. int cur = m, len = n;
  133. FOR(pos,1,n)
  134. FOR(r,1,len)
  135. {
  136. int cost = r-1;
  137. if (cost > cur) break;
  138. int cnt = dp[len-1][cur-cost];
  139. if (cnt >= k)
  140. {
  141. ans[pos] = perm[r-1];
  142. perm.erase(perm.begin()+(r-1));
  143. cur -= cost;
  144. len--;
  145. break;
  146. }
  147. else k -= cnt;
  148. }
  149. vii vec;
  150. FOR(i,1,n)
  151. if (ans[i] != i) vec.pb({i,ans[i]});
  152. cout << sz(vec) << endl;
  153. for (auto [x,y] : vec) cout << x << " " << y << endl;
  154. }
  155.  
  156. }
  157.  
  158. bool M2;
  159. signed main()
  160. {
  161. fast;
  162. if (fopen(name".inp","r"))
  163. {
  164. freopen(name".inp","r",stdin);
  165. freopen(name".out","w",stdout);
  166. }
  167. cin >> n >> m >> k;
  168. if (sub1::approved()) return sub1::solve(), time(), memory(), 0;
  169. if (sub2::approved()) return sub2::solve(), time(), memory(), 0;
  170. time();
  171. memory();
  172. return 0;
  173. }
  174. // ██░ ██ █ ██ ███▄ █ ▄████
  175. //▓██░ ██▒ ██ ▓██▒ ██ ▀█ █ ██▒ ▀█▒
  176. //▒██▀▀██░▓██ ▒██░▓██ ▀█ ██▒▒██░▄▄▄░
  177. //░▓█ ░██ ▓▓█ ░██░▓██▒ ▐▌██▒░▓█ ██▓
  178. //░▓█▒░██▓▒▒█████▓ ▒██░ ▓██░░▒▓███▀▒
  179. // ▒ ░░▒░▒░▒▓▒ ▒ ▒ ░ ▒░ ▒ ▒ ░▒ ▒
  180. // ▒ ░▒░ ░░░▒░ ░ ░ ░ ░░ ░ ▒░ ░ ░
  181. // ░ ░░ ░ ░░░ ░ ░ ░ ░ ░ ░ ░ ░
  182. // ░ ░ ░ ░ ░ ░
Success #stdin #stdout #stderr 0.01s 5324KB
stdin
Standard input is empty
stdout
-1
stderr
-------------Time:5.984ms.
1.62759 MB