# | Submission time | Handle | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
1100117 | 2024-10-12T18:59:29 Z | andrei_iorgulescu | Olympiads (BOI19_olympiads) | C++14 | 0 ms | 0 KB |
#include <bits/stdc++.h> using namespace std; int n, k, c; int a[2005][10]; vector<int> ind[10]; struct cmp { bool operator ()(vector<int> A, vector<int> B) const{ int s1 = 0, s2 = 0; for (int i = 0; i < k; i++) s1 += a[ind[i + 1][A[i]]][i + 1], s2 += a[ind[i + 1][B[i]]][i + 1]; return s1 < s2; } }; int C(int x, int y) { if (y == 0) return 1; if (x < y) return 0; long long ww = 1; for (int i = x; i > x - y; i--) ww *= i; for (int i = 1; i <= y; i++) ww /= i; if (ww >= (int)1e9) ww = (int)1e9; return ww; } int cnt(vector<int> nod) { for (int i = 0; i < k; i++) { for (int j = 0; j < k; j++) { if (i == j) continue; int cn1 = ind[i + 1][nod[i]], cn2 = ind[j + 1][nod[j]]; if (a[cn1][j + 1] > a[cn2][j + 1] or (a[cn1][j + 1] == a[cn2][j + 1] and cn1 < cn2)) return 0; } } set<int> oameni; for (int i = 0; i < k; i++) oameni.insert(ind[i + 1][nod[i]]); int lft = k - (int)oameni.size(); int cati = 0; for (int i = 1; i <= n; i++) { bool ok = true; for (int j = 1; j <= k; j++) { int cn = ind[j][nod[j - 1]]; if (a[i][j] > a[cn][j] or (a[i][j] == a[cn][j] and i <= cn)) ok = false; } if (ok) cati++; } int ans = C(cati, lft); return ans; } int main() { cin >> n >> k >> c; for (int i = 1; i <= n; i++) for (int j = 1; j <= k; j++) cin >> a[i][j]; for (int i = 1; i <= n; i++) for (int j = 1; j <= k; j++) ind[j].push_back(i); for (int i = 1; i <= k; i++) { sort(ind[i].begin(), ind[i].end(), [i](int A, int B) { if (a[A][i] != a[B][i]) {return a[A][i] > a[B][i];} else{return A < B;} }); } /*for (int i = 1; i <= k; i++) { cout << i << " -> "; for (auto it : ind[i]) cout << it << ' '; cout << endl; }*/ priority_queue<vector<int>, vector<vector<int>>, cmp> pq; int cate = 0; vector<int> si; for (int i = 1; i <= k; i++) si.push_back(0); pq.push(si); map<vector<int, bool>> viz; while (!pq.empty()) { vector<int> nod = pq.top(); pq.pop(); int s = 0; for (int i = 0; i < k; i++) s += a[ind[i + 1][nod[i]]][i + 1]; /*for (auto it : nod) cout << it << ' '; cout << " -> " << cnt(nod) << endl;*/ cate += cnt(nod); if (cate >= c) { cout << s; return 0; } for (int i = 0; i < k; i++) { vector<int> nod2 = nod; nod2[i]++; if (nod2[i] < n and !viz[nod2]) pq.push(nod2), viz[nod2] = true; } } return 0; } /* 5 2 10 1 7 2 5 3 10 4 8 2 9 */