This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*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;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
using ll = long long;
using ull = unsigned long long;
using ld = long double;
template<typename A, typename B>
using omap = tree <A, B, less<A>, rb_tree_tag, tree_order_statistics_node_update>;
template<typename A>
using oset = tree <A, null_type, less<A>, rb_tree_tag, tree_order_statistics_node_update>;
struct llist
{
int x;
llist *nxt = NULL;
llist(llist *nxt, int x): nxt(nxt), x(x)
{
}
};
int A[500][6];
int P[6][500];
int N, K, C;
struct shard
{
llist *forb = NULL;
int k = 0;
int score;
int B[6];
void eval()
{
vector<bool> gal(N, true);
for (llist *k = forb; k != NULL; k = k->nxt)
gal[k->x] = false;
int best[6];
for (int i = 0; i < K; i++)
best[i] = 0;
for (int i = 0; i < k; i++)
{
gal[B[i]] = false;
for (int j = 0; j < K; j++)
best[j] = max(best[j], A[B[i]][j]);
}
for (int j = k; j < K; j++)
{
bool fnd = false;
for (int t = 0; t < N; t++)
{
int i = P[j][t];
if (gal[i])
{
gal[i] = false;
B[j] = i;
for (int k = j; k < K; k++)
best[k] = max(best[k], A[i][k]);
fnd = true;
break;
}
}
if (!fnd)
{
score = -1;
return;
}
}
score = 0;
for (int j = 0; j < K; j++)
score += best[j];
}
};
bool operator < (const shard &a, const shard &b)
{
return a.score < b.score;
}
void solve()
{
cin >> N >> K >> C;
for (int i = 0; i < N; i++)
for (int j = 0; j < K; j++)
cin >> A[i][j];
for (int j = 0; j < K; j++)
{
for (int i = 0; i < N; i++)
P[j][i] = i;
sort(P[j], P[j] + N, [&](int a, int b) {return A[a][j] > A[b][j];});
}
priority_queue<shard>Q;
{
shard X;
X.eval();
Q.push(X);
}
for (int t = 1; t <= C - 1; t++)
{
shard s = Q.top();
Q.pop();
for (int f = s.k; f < K; f++)
{
shard t;
t.forb = new llist(s.forb, s.B[f]);
for (int j = 0; j < f; j++)
t.B[j] = s.B[j];
t.k = f;
t.eval();
Q.push(t);
}
}
cout << Q.top().score << "\n";
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
solve();
}
Compilation message (stderr)
olympiads.cpp: In constructor 'llist::llist(llist*, int)':
olympiads.cpp:26:9: warning: 'llist::nxt' will be initialized after [-Wreorder]
26 | llist *nxt = NULL;
| ^~~
olympiads.cpp:25:6: warning: 'int llist::x' [-Wreorder]
25 | int x;
| ^
olympiads.cpp:27:2: warning: when initialized here [-Wreorder]
27 | llist(llist *nxt, int x): nxt(nxt), x(x)
| ^~~~~
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