This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
bool home = 0;
bool verbose;
#include <bits/stdc++.h>
using namespace std;
void print(vector<int> v) {
cout << " ---> ";
for (auto &x : v) {
cout << x << " ";
}
cout << "\n";
}
const int N = 500 + 7;
const int K = 7 + 7;
int n;
int k;
int c;
int a[N][K];
vector<int> inds[K];
set<long long> seen;
priority_queue<pair<int, long long>> q;
set<long long> Hashes;
long long get_hash(vector<int> positions) { /// bijection
assert((int) positions.size() == k);
long long h = 0;
for (int i = 0; i < k; i++) {
h = h * N + positions[i];
}
return h;
}
vector<int> get_positions(long long Hash) { /// bijection
vector<int> positions(k);
for (int i = k - 1; i >= 0; i--) {
positions[i] = Hash % N;
Hash /= N;
}
return positions;
}
int get_sum(vector<int> positions) {
assert((int) positions.size() == k);
int sum = 0;
for (int i = 0; i < k; i++) {
sum += a[inds[i][positions[i]]][i];
}
return sum;
}
vector<int> Fixed;
vector<int> notFixed;
void bkt(vector<int> current, int position, int sum) {
if ((int) current.size() == k) {
sort(current.begin(), current.end());
// cout << sum << " ";
// print(current);
long long Hash = get_hash(current);
assert((int) Hashes.size() < c);
Hashes.insert(Hash);
if ((int) Hashes.size() == c) {
cout << sum << "\n";
exit(0);
}
assert((int) Hashes.size() < c);
return;
}
if (position == (int) notFixed.size()) {
return;
}
assert(0 <= position && position < (int) notFixed.size());
bkt(current, position + 1, sum);
current.push_back(notFixed[position]);
bkt(current, position + 1, sum);
}
void add(vector<int> positions) {
assert((int) positions.size() == k);
long long Hash = get_hash(positions);
if (seen.count(Hash)) {
return;
}
seen.insert(Hash);
int sum = get_sum(positions);
q.push({sum, Hash});
}
int main() {
if (home) {
verbose = 1;
freopen ("___input___.txt", "r", stdin);
} else {
verbose = 0;
ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
}
cin >> n >> k >> c;
for (int i = 1; i <= n; i++) {
for (int j = 0; j < k; j++) {
cin >> a[i][j];
}
}
{
vector<int> biggest;
for (int c = 0; c < k; c++) {
for (int i = 1; i <= n; i++) {
inds[c].push_back(i);
}
sort(inds[c].begin(), inds[c].end(), [&] (int i, int j) {
return a[i][c] > a[j][c];
});
biggest.push_back(0);
}
add(biggest);
}
while (!q.empty()) {
long long Hash = q.top().second;
{
vector<int> positions = get_positions(Hash);
int sum = q.top().first;
set<int> sFixed;
Fixed.clear();
notFixed.clear();
for (int c = 0; c < k; c++) {
sFixed.insert(inds[c][positions[c]]);
}
for (auto &i : sFixed) {
Fixed.push_back(i);
}
for (int i = 1; i <= n; i++) {
if (!sFixed.count(i)) {
notFixed.push_back(i);
}
}
///print(Fixed);
bkt(Fixed, 0, sum);
}
q.pop();
vector<int> positions = get_positions(Hash);
///print(positions);
/// increase one of them
for (int g = 0; g < k; g++) {
if (positions[g] + 1 < n) {
vector<int> np = positions;
np[g]++;
add(np);
}
}
}
cout << "why are you done???\n";
return 0;
}
/**
**/
Compilation message (stderr)
olympiads.cpp: In function 'int main()':
olympiads.cpp:96:13: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
96 | freopen ("___input___.txt", "r", stdin);
| ~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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