#include <iostream>
#include <fstream>
#include <vector>
#include <queue>
#include <utility>
#include <algorithm>
const int BULAN = 5000;
int x, p;
int arr[100005];
int sp_tb[17][100005];
int dp[105][100005];
void build_sparse_table() {
for (int l = 1; l < 17; l++) {
for (int i = 1; i+(1<<l)-1 <= x; i++) {
sp_tb[l][i] = std::max(sp_tb[l-1][i], sp_tb[l-1][i+(1<<(l-1))]);
}
}
}
inline int max_query(int l, int r) {
int lvl = 31-__builtin_clz(r-l+1);
return std::max(sp_tb[lvl][l], sp_tb[lvl][r-(1<<lvl)+1]);
}
void calculate_dp() {
for (int i = 1; i <= x; i++) {
dp[1][i] = max_query(1,i);
}
for (int k = 2; k <= p; k++) {
std::priority_queue<std::pair<int,int>, std::vector<std::pair<int,int>>, std::greater<std::pair<int,int>>> pq;
for (int i = 1; i < k; i++) {
dp[k][i] = 0x3f3f3f3f;
pq.emplace(dp[k-1][i],i+1);
}
for (int i = k; i <= x; i++) {
dp[k][i] = 0x3f3f3f3f;
std::vector<std::pair<int,int>> tmp;
for (int rep = 0; rep < BULAN && !pq.empty(); rep++) {
auto [opt_dp, idx] = pq.top();
dp[k][i] = std::min(dp[k][i], opt_dp + max_query(idx,i));
tmp.emplace_back(opt_dp,idx);
pq.pop();
}
while (!tmp.empty()) {
pq.emplace(tmp.back());
tmp.pop_back();
}
}
}
}
int main() {
std::ios_base::sync_with_stdio(false);
std::cin.tie(NULL);
std::cout.tie(NULL);
std::cin >> x >> p;
for (int i = 1; i <= x; i++) {
std::cin >> arr[i];
sp_tb[0][i] = arr[i];
}
build_sparse_table();
calculate_dp();
std::cout << dp[p][x] << "\n";
}
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
0 ms |
344 KB |
Output is correct |
| 2 |
Correct |
1 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
0 ms |
348 KB |
Output is correct |
| 5 |
Correct |
0 ms |
348 KB |
Output is correct |
| 6 |
Correct |
0 ms |
348 KB |
Output is correct |
| 7 |
Correct |
0 ms |
348 KB |
Output is correct |
| 8 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
| 9 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
0 ms |
348 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
0 ms |
348 KB |
Output is correct |
| 5 |
Correct |
0 ms |
464 KB |
Output is correct |
| 6 |
Correct |
0 ms |
348 KB |
Output is correct |
| 7 |
Correct |
0 ms |
348 KB |
Output is correct |
| 8 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
| 9 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
0 ms |
344 KB |
Output is correct |
| 2 |
Correct |
1 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
0 ms |
348 KB |
Output is correct |
| 5 |
Correct |
0 ms |
348 KB |
Output is correct |
| 6 |
Correct |
0 ms |
348 KB |
Output is correct |
| 7 |
Correct |
0 ms |
348 KB |
Output is correct |
| 8 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
| 9 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
0 ms |
344 KB |
Output is correct |
| 2 |
Correct |
1 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
0 ms |
348 KB |
Output is correct |
| 5 |
Correct |
0 ms |
348 KB |
Output is correct |
| 6 |
Correct |
0 ms |
348 KB |
Output is correct |
| 7 |
Correct |
0 ms |
348 KB |
Output is correct |
| 8 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
| 9 |
Halted |
0 ms |
0 KB |
- |
