이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
/*input
5 4 4
7 0 4 9
3 0 8 4
1 1 3 7
5 1 3 4
4 2 2 9
*/
#pragma GCC optimize ("O3")
#pragma GCC target ("avx2")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;
template<typename T>
using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<typename T, typename X>
using ordered_map = tree<T, X, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<typename T, typename X>
using fast_map = cc_hash_table<T, X>;
//using ull = __uint128_t;
using ull = unsigned long long;
using ll = long long;
using ld = long double;
mt19937_64 rng(123);
const ll mod = 1000000007;
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
int n, k, c;
cin >> n >> k >> c;
vector<vector<int>> A(n, vector<int>(k));
for (int i = 0; i < n; i++)
for (int j = 0; j < k; j++)
cin >> A[i][j];
vector<vector<int>> p(k, vector<int>(n));
for (int i = 0; i < k; i++)
{
iota(p[i].begin(), p[i].end(), 0);
sort(p[i].begin(), p[i].end(), [&](int x, int y) {return A[x][i] > A[y][i];});
}
priority_queue<pair<int, vector<int>>>Q;
{
int sum = 0;
vector<int>c(k, 0);
for (int i = 0; i < k; i++)
sum += A[p[i][0]][i];
Q.push({sum, c});
}
set<vector<int>>buv;
set<ull>BUV;
vector<ull>H(n);
for (int i = 0; i < n; i++)
H[i] = rng();
auto f = [&](const vector<int>&v)->ull
{
ll r = 0;
for (int i = 0; i < k; i++)
r ^= H[p[i][v[i]]];
return r;
};
while (!Q.empty())
{
int sum = Q.top().first;
vector<int>v = Q.top().second;
Q.pop();
ll h = f(v);
if (BUV.count(h))
continue;
BUV.insert(h);
bool ok = true;
for (int i = 0; i < k; i++)
for (int j = 0; j < i; j++)
ok &= p[i][v[i]] != p[j][v[j]];
if (ok)
{
c--;
if (c == 0)
{
cout << sum << "\n";
return 0;
}
}
for (int i = 0; i < k; i++)
{
if (v[i] != n - 1)
{
v[i]++;
int sum_ = 0;
for (int j = 0; j < k; j++)
{
int mx = 0;
for (int c = 0; c < k; c++)
mx = max(mx, A[p[c][v[c]]][j]);
sum_ += mx;
}
Q.push({sum_, v});
v[i]--;
}
}
}
}
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