#include <iostream>
#include <string>
#include <vector>
#include <algorithm>
#include <cmath>
#include <limits>
#include <queue>
#include <string.h>
#include <stack>
#include <limits>
using namespace std;
int N, K;
long long p[100005], dp[201][100005];
long long minf = numeric_limits<long long>::min();
struct seg {
long long k = 0, b = minf;
seg() {}
seg(long long _k, long long _b) :k(_k), b(_b) {}
long long f(long long x) {
return k * x + b;
}
};
struct Node {
Node * left = nullptr;
Node * right = nullptr;
seg s;
~Node() {
if(left != nullptr) delete left;
if(right != nullptr) delete right;
}
};
void add(Node* cur, seg ns, int nl, int nr) {
if(cur->s.b == minf && ns.b == minf) return;
int m = (nl + nr) / 2;
bool lef = cur->s.f(nl) < ns.f(nl);
bool mid = cur->s.f(m) < ns.f(m);
if(mid) swap(cur->s, ns);
if(nl == nr) return;
else if(lef != mid) {
if(cur->left == nullptr) cur->left = new Node();
add(cur->left, ns, nl, m);
}
else {
if(cur->right == nullptr) cur->right = new Node();
add(cur->right, ns, m + 1, nr);
}
}
long long query(Node* cur, int x, int nl, int nr) {
if(cur == nullptr) return 0;
if(nl == nr) return cur->s.f(x);
int m = (nl + nr) / 2;
if(x <= m)
return max(cur->s.f(x), query(cur->left, x, nl, m));
else
return max(cur->s.f(x), query(cur->right, x, m + 1, nr));
}
int main() {
ios::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
cin >> N >> K;
long long q;
for(int i = 1; i <= N; ++i) {
cin >> q;
p[i] = p[i - 1] + q;
}
Node * tree;
long long ans = 0;
for(int k = 1; k <= K; ++k) {
tree = new Node();
for(int i = N - k - 1; i >= 0; --i){
add(tree, seg(p[i + 1], - p[i + 1] * p[i + 1] + p[N] * p[i + 1] + dp[k - 1][i + 1]), 0, 1000 * N);
dp[k][i] = query(tree, p[i], 0, 1000 * N) - p[N] * p[i];
}
delete(tree);
}
ans = dp[K][0];
cout << ans << '\n';
int s = 0;
for(int k = K; k >= 1; --k) {
for(int i = s + 1; i <= N - k; ++i) {
long long q = (p[N] - p[i]) * (p[i] - p[s]);
if(ans - q == dp[k - 1][i] ) {
cout << i << ' ';
ans -= q;
s = i;
break;
}
}
}
return 0;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 108 == 108 |
| 2 |
Correct |
1 ms |
348 KB |
contestant found the optimal answer: 999 == 999 |
| 3 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 0 == 0 |
| 4 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 1542524 == 1542524 |
| 5 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 4500000000 == 4500000000 |
| 6 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 1 == 1 |
| 7 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 1 == 1 |
| 8 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 1 == 1 |
| 9 |
Correct |
1 ms |
348 KB |
contestant found the optimal answer: 100400096 == 100400096 |
| 10 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 900320000 == 900320000 |
| 11 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 3698080248 == 3698080248 |
| 12 |
Correct |
1 ms |
348 KB |
contestant found the optimal answer: 3200320000 == 3200320000 |
| 13 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 140072 == 140072 |
| 14 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 376041456 == 376041456 |
| 15 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 805 == 805 |
| 16 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 900189994 == 900189994 |
| 17 |
Correct |
1 ms |
348 KB |
contestant found the optimal answer: 999919994 == 999919994 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 1093956 == 1093956 |
| 2 |
Correct |
1 ms |
404 KB |
contestant found the optimal answer: 302460000 == 302460000 |
| 3 |
Correct |
0 ms |
604 KB |
contestant found the optimal answer: 122453454361 == 122453454361 |
| 4 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 93663683509 == 93663683509 |
| 5 |
Correct |
1 ms |
348 KB |
contestant found the optimal answer: 1005304678 == 1005304678 |
| 6 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 933702 == 933702 |
| 7 |
Correct |
1 ms |
604 KB |
contestant found the optimal answer: 25082842857 == 25082842857 |
| 8 |
Correct |
1 ms |
348 KB |
contestant found the optimal answer: 687136 == 687136 |
| 9 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 27295930079 == 27295930079 |
| 10 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 29000419931 == 29000419931 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
464 KB |
contestant found the optimal answer: 610590000 == 610590000 |
| 2 |
Correct |
1 ms |
348 KB |
contestant found the optimal answer: 311760000 == 311760000 |
| 3 |
Correct |
3 ms |
1488 KB |
contestant found the optimal answer: 1989216017013 == 1989216017013 |
| 4 |
Incorrect |
1 ms |
348 KB |
contestant didn't find the optimal answer: 1454351581598 < 1499437552673 |
| 5 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
344 KB |
contestant found the optimal answer: 21503404 == 21503404 |
| 2 |
Correct |
1 ms |
344 KB |
contestant found the optimal answer: 140412195 == 140412195 |
| 3 |
Correct |
25 ms |
2848 KB |
contestant found the optimal answer: 49729674225461 == 49729674225461 |
| 4 |
Incorrect |
1 ms |
344 KB |
contestant didn't find the optimal answer: 35086103275988 < 37485571387523 |
| 5 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
5 ms |
856 KB |
contestant found the optimal answer: 1818678304 == 1818678304 |
| 2 |
Correct |
8 ms |
1372 KB |
contestant found the optimal answer: 1326260195 == 1326260195 |
| 3 |
Incorrect |
325 ms |
17068 KB |
contestant didn't find the optimal answer: 4683004714418973 < 4973126687469639 |
| 4 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
74 ms |
8016 KB |
contestant found the optimal answer: 19795776960 == 19795776960 |
| 2 |
Correct |
79 ms |
9296 KB |
contestant found the optimal answer: 19874432173 == 19874432173 |
| 3 |
Execution timed out |
2082 ms |
89232 KB |
Time limit exceeded |
| 4 |
Halted |
0 ms |
0 KB |
- |
