#include <bits/stdc++.h>
typedef long long ll;
template <typename T> class Vector : public std::vector<T> {
public:
using std::vector<T>::vector;
std::vector<ll> psum;
void calculate_prefix_sum() {
psum.resize(this->size());
std::partial_sum(this->begin(), this->end(), psum.begin());
}
T sum(ll a, ll b) {
if (a > b) {
return 0;
}
T ans = psum[b];
if (a - 1 >= 0) {
ans -= psum[a - 1];
}
return ans;
}
};
const ll N = 1e5 + 1, K = 201;
const ll inf = 1e15;
ll dp[K][N];
struct Line {
int m;
ll b;
ll eval(ll x) {
return m * x + b;
}
};
class CHT {
private:
bool parallel(const Line &a, const Line &b) {
return a.m == b.m;
}
long double x_intersection(const Line &a, const Line &b) {
return (a.b - b.b) / ((long double) (b.m - a.m));
}
public:
std::deque<Line> dq;
void insert(Line l) {
if (dq.size() >= 1 && parallel(l, dq.back()) && l.b <= dq.back().b) {
return;
}
while (dq.size() >= 2) {
if (parallel(l, dq.back())) {
if (l.b > dq.front().b) {
dq.pop_front();
continue;
} else {
return;
}
}
if (x_intersection(l, dq.back()) <= x_intersection(dq.back(), dq[dq.size() - 2])) {
dq.pop_back();
} else {
break;
}
}
if (dq.size() == 1 && parallel(l, dq.back()) && l.b > dq.back().b) {
dq.pop_back();
}
dq.push_back(l);
}
ll query(ll x) {
while (dq.size() >= 2 && dq[0].eval(x) <= dq[1].eval(x)) {
dq.pop_front();
}
return dq[0].eval(x);
}
};
int main() {
ll n, k;
std::cin >> n >> k;
Vector<ll> a(n);
for (auto &i : a) {
std::cin >> i;
}
a.calculate_prefix_sum();
if (n == 2) {
std::cout << a[0] * a[1] << "\n1\n";
return 0;
}
for (ll i = 0; i <= k; ++ i) {
CHT hull;
for (ll j = n - 1; j >= 0; -- j) {
if (j == n - 1) {
dp[i][j] = -inf * (i != 0);
continue;
}
if (i == 0) {
dp[i][j] = 0;
continue;
}
int m = a.sum(j + 1, n - 1);
ll b = dp[i - 1][j + 1] + a.sum(0, j) * a.sum(j + 1, n - 1);
hull.insert({m, b});
ll ans = hull.query(-a.sum(0, j - 1));
dp[i][j] = std::max(0LL, ans);
}
}
std::cout << dp[k][0] << "\n";
ll i = 0;
ll ops = k;
for (ll c = i; c < n - 1 && ops > 0; c++) {
if (dp[ops][i] == a.sum(i, c) * a.sum(c + 1, n - 1) + dp[ops - 1][c + 1]) {
std::cout << c + 1 << " ";
ops--;
i = c + 1;
}
}
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
4444 KB |
contestant found the optimal answer: 108 == 108 |
| 2 |
Correct |
1 ms |
2396 KB |
contestant found the optimal answer: 999 == 999 |
| 3 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 0 == 0 |
| 4 |
Correct |
1 ms |
4440 KB |
contestant found the optimal answer: 1542524 == 1542524 |
| 5 |
Correct |
1 ms |
8540 KB |
contestant found the optimal answer: 4500000000 == 4500000000 |
| 6 |
Correct |
1 ms |
2396 KB |
contestant found the optimal answer: 1 == 1 |
| 7 |
Correct |
0 ms |
2396 KB |
contestant found the optimal answer: 1 == 1 |
| 8 |
Correct |
0 ms |
2396 KB |
contestant found the optimal answer: 1 == 1 |
| 9 |
Correct |
1 ms |
4444 KB |
contestant found the optimal answer: 100400096 == 100400096 |
| 10 |
Correct |
1 ms |
4444 KB |
contestant found the optimal answer: 900320000 == 900320000 |
| 11 |
Correct |
1 ms |
4440 KB |
contestant found the optimal answer: 3698080248 == 3698080248 |
| 12 |
Correct |
1 ms |
4440 KB |
contestant found the optimal answer: 3200320000 == 3200320000 |
| 13 |
Correct |
1 ms |
4444 KB |
contestant found the optimal answer: 140072 == 140072 |
| 14 |
Correct |
1 ms |
4444 KB |
contestant found the optimal answer: 376041456 == 376041456 |
| 15 |
Correct |
1 ms |
4444 KB |
contestant found the optimal answer: 805 == 805 |
| 16 |
Correct |
1 ms |
4440 KB |
contestant found the optimal answer: 900189994 == 900189994 |
| 17 |
Correct |
1 ms |
4452 KB |
contestant found the optimal answer: 999919994 == 999919994 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
4444 KB |
contestant found the optimal answer: 1093956 == 1093956 |
| 2 |
Correct |
1 ms |
4444 KB |
contestant found the optimal answer: 302460000 == 302460000 |
| 3 |
Correct |
5 ms |
39260 KB |
contestant found the optimal answer: 122453454361 == 122453454361 |
| 4 |
Correct |
1 ms |
4548 KB |
contestant found the optimal answer: 93663683509 == 93663683509 |
| 5 |
Correct |
1 ms |
8540 KB |
contestant found the optimal answer: 1005304678 == 1005304678 |
| 6 |
Correct |
1 ms |
6488 KB |
contestant found the optimal answer: 933702 == 933702 |
| 7 |
Correct |
2 ms |
20828 KB |
contestant found the optimal answer: 25082842857 == 25082842857 |
| 8 |
Correct |
2 ms |
10584 KB |
contestant found the optimal answer: 687136 == 687136 |
| 9 |
Correct |
1 ms |
6492 KB |
contestant found the optimal answer: 27295930079 == 27295930079 |
| 10 |
Correct |
2 ms |
12716 KB |
contestant found the optimal answer: 29000419931 == 29000419931 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
4440 KB |
contestant found the optimal answer: 610590000 == 610590000 |
| 2 |
Correct |
1 ms |
4440 KB |
contestant found the optimal answer: 311760000 == 311760000 |
| 3 |
Correct |
11 ms |
95324 KB |
contestant found the optimal answer: 1989216017013 == 1989216017013 |
| 4 |
Correct |
1 ms |
4440 KB |
contestant found the optimal answer: 1499437552673 == 1499437552673 |
| 5 |
Correct |
11 ms |
98908 KB |
contestant found the optimal answer: 1019625819 == 1019625819 |
| 6 |
Correct |
13 ms |
97112 KB |
contestant found the optimal answer: 107630884 == 107630884 |
| 7 |
Correct |
11 ms |
93276 KB |
contestant found the optimal answer: 475357671774 == 475357671774 |
| 8 |
Correct |
5 ms |
35164 KB |
contestant found the optimal answer: 193556962 == 193556962 |
| 9 |
Correct |
3 ms |
22872 KB |
contestant found the optimal answer: 482389919803 == 482389919803 |
| 10 |
Correct |
6 ms |
45404 KB |
contestant found the optimal answer: 490686959791 == 490686959791 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
4452 KB |
contestant found the optimal answer: 21503404 == 21503404 |
| 2 |
Correct |
1 ms |
4444 KB |
contestant found the optimal answer: 140412195 == 140412195 |
| 3 |
Correct |
15 ms |
93788 KB |
contestant found the optimal answer: 49729674225461 == 49729674225461 |
| 4 |
Correct |
1 ms |
4444 KB |
contestant found the optimal answer: 37485571387523 == 37485571387523 |
| 5 |
Correct |
15 ms |
99932 KB |
contestant found the optimal answer: 679388326 == 679388326 |
| 6 |
Correct |
15 ms |
99420 KB |
contestant found the optimal answer: 4699030287 == 4699030287 |
| 7 |
Correct |
16 ms |
97884 KB |
contestant found the optimal answer: 12418819758185 == 12418819758185 |
| 8 |
Correct |
15 ms |
93788 KB |
contestant found the optimal answer: 31093317350 == 31093317350 |
| 9 |
Correct |
5 ms |
33368 KB |
contestant found the optimal answer: 12194625429236 == 12194625429236 |
| 10 |
Correct |
9 ms |
63836 KB |
contestant found the optimal answer: 12345131038664 == 12345131038664 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
4696 KB |
contestant found the optimal answer: 1818678304 == 1818678304 |
| 2 |
Correct |
4 ms |
4700 KB |
contestant found the optimal answer: 1326260195 == 1326260195 |
| 3 |
Correct |
63 ms |
107280 KB |
contestant found the optimal answer: 4973126687469639 == 4973126687469639 |
| 4 |
Correct |
3 ms |
4700 KB |
contestant found the optimal answer: 3748491676694116 == 3748491676694116 |
| 5 |
Correct |
43 ms |
95060 KB |
contestant found the optimal answer: 1085432199 == 1085432199 |
| 6 |
Correct |
45 ms |
100420 KB |
contestant found the optimal answer: 514790755404 == 514790755404 |
| 7 |
Correct |
61 ms |
101204 KB |
contestant found the optimal answer: 1256105310476641 == 1256105310476641 |
| 8 |
Correct |
48 ms |
97324 KB |
contestant found the optimal answer: 3099592898816 == 3099592898816 |
| 9 |
Correct |
51 ms |
98392 KB |
contestant found the optimal answer: 1241131419367412 == 1241131419367412 |
| 10 |
Correct |
52 ms |
101720 KB |
contestant found the optimal answer: 1243084101967798 == 1243084101967798 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
19 ms |
6752 KB |
contestant found the optimal answer: 19795776960 == 19795776960 |
| 2 |
Correct |
19 ms |
6540 KB |
contestant found the optimal answer: 19874432173 == 19874432173 |
| 3 |
Runtime error |
444 ms |
131072 KB |
Execution killed with signal 9 |
| 4 |
Halted |
0 ms |
0 KB |
- |
