# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
124973 | songc | Olympiads (BOI19_olympiads) | C++14 | 193 ms | 3068 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
typedef long long LL;
typedef pair<int, int> pii;
int N, K;
int A[7][550];
int R[7][7][550];
LL C, D[7][70][550];
int mask[550];
bool chk[550];
vector<LL> comp[7];
struct Data{
LL sum;
int v[7];
bool operator<(const Data &r)const{
if (sum == r.sum){
for (int i=1; i<=K; i++) if (v[i] != r.v[i]) return v[i] < r.v[i];
return false;
}
return sum < r.sum;
}
};
priority_queue<Data> PQ;
set<Data> vis;
int main(){
scanf("%d %d %lld", &N, &K, &C);
for (int i=1; i<=N; i++) for (int j=1; j<=K; j++){
scanf("%d", &A[j][i]);
comp[j].push_back(A[j][i]);
}
for (int i=1; i<=K; i++) {
sort(comp[i].begin(), comp[i].end(), greater<LL>());
comp[i].erase(unique(comp[i].begin(), comp[i].end()), comp[i].end());
for (int j=1; j<=N; j++) A[i][j] = lower_bound(comp[i].begin(), comp[i].end(), A[i][j], greater<LL>()) - comp[i].begin();
}
memset(R, 15, sizeof R);
for (int i=1; i<=N; i++) for (int j=1; j<=K; j++) for (int k=1; k<=K; k++) R[j][k][A[j][i]] = min(A[k][i], R[j][k][A[j][i]]);
Data T;
T.sum = 0;
for (int i=1; i<=K; i++) T.v[i] = 0, T.sum += comp[i][0];
PQ.push(T);
while (!PQ.empty()){
T = PQ.top();
PQ.pop();
for (int i=1; i<=N; i++){
mask[i] = 0, chk[i] = false;
for (int j=1; j<=K; j++){
if (T.v[j] == A[j][i]) mask[i] |= 1<<(j-1);
if (T.v[j] > A[j][i]) chk[i] = true;
}
}
memset(D, 0, sizeof D);
D[0][0][0] = 1;
for (int i=0; i<N; i++){
for (int j=0; j<=K; j++){
for (int k=0; k<(1<<K); k++){
if (!D[j][k][i]) continue;
D[j][k][i+1] += D[j][k][i];
if (j<6 && !chk[i+1]) D[j+1][k|mask[i+1]][i+1] += D[j][k][i];
}
}
}
C -= D[K][(1<<K)-1][N];
if (C <= 0) {
printf("%lld\n", T.sum);
return 0;
}
for (int i=1; i<=K; i++){
Data c = T;
c.v[i]++;
if (c.v[i] == (int)comp[i].size()) continue;
c.sum += comp[i][c.v[i]] - comp[i][c.v[i]-1];
bool tf = false;
for (int j=1; j<=K; j++){
if (R[i][j][c.v[i]] < c.v[j]){
tf = true;
break;
}
}
if (tf) continue;
if (vis.find(c) != vis.end()) continue;
vis.insert(c);
PQ.push(c);
}
}
return 0;
}
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