#include <bits/stdc++.h>
using namespace std;
const int N = 1e5 + 5;
#define ll long long
#define sz size()
#define pb push_back
ll p[N], a[N], n, k, dp[N];
int par[N][205];
//CHT means convex hull trick
struct CHT {
ll m, c;
int idx;
ll get (ll x) {
return m * x + c;
}
long double intersect (CHT x) {
return (long double)(x.c - c) / (long double)(m - x.m);
}
};
int main () {
// freopen ("input.txt", "r", stdin);
cin >> n >> k;
for (int i = 1; i <= n; ++i) {
cin >> a[i];
p[i] = p[i - 1] + a[i];
}
for (int i = 1; i <= k; ++i) {
deque <CHT> d;
d.pb ({p[i], dp[i] - p[i] * p[i], i});
for (int j = i + 1; j <= n; ++j) {
while ((int)d.sz >= 2 and d[0].get (p[j]) <= d[1].get (p[j])) d.pop_front();
ll aa = d[0].get (p[j]);
CHT tr = {p[j], dp[j] - p[j] * p[j], j};
par[j][i] = d[0].idx;
while ((int)d.sz >= 2 and tr.intersect(d[(int)d.sz - 2]) <= d.back().intersect(d[(int)d.sz - 2])) d.pop_back();
d.pb (tr);
dp[j] = aa;
}
}
cout << dp[n] << "\n";
int idx = par[n][k];
int val = k;
while (idx) {
val--;
cout << idx << " ";
idx = par[idx][val];
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
2404 KB |
contestant found the optimal answer: 108 == 108 |
2 |
Correct |
1 ms |
2396 KB |
contestant found the optimal answer: 999 == 999 |
3 |
Correct |
1 ms |
2396 KB |
contestant found the optimal answer: 0 == 0 |
4 |
Correct |
2 ms |
2644 KB |
contestant found the optimal answer: 1542524 == 1542524 |
5 |
Correct |
0 ms |
2396 KB |
contestant found the optimal answer: 4500000000 == 4500000000 |
6 |
Correct |
1 ms |
2648 KB |
contestant found the optimal answer: 1 == 1 |
7 |
Correct |
1 ms |
2396 KB |
contestant found the optimal answer: 1 == 1 |
8 |
Correct |
1 ms |
2392 KB |
contestant found the optimal answer: 1 == 1 |
9 |
Correct |
1 ms |
2396 KB |
contestant found the optimal answer: 100400096 == 100400096 |
10 |
Correct |
1 ms |
2396 KB |
contestant found the optimal answer: 900320000 == 900320000 |
11 |
Correct |
1 ms |
2396 KB |
contestant found the optimal answer: 3698080248 == 3698080248 |
12 |
Correct |
1 ms |
2396 KB |
contestant found the optimal answer: 3200320000 == 3200320000 |
13 |
Correct |
0 ms |
2396 KB |
contestant found the optimal answer: 140072 == 140072 |
14 |
Correct |
0 ms |
2396 KB |
contestant found the optimal answer: 376041456 == 376041456 |
15 |
Correct |
1 ms |
2648 KB |
contestant found the optimal answer: 805 == 805 |
16 |
Correct |
1 ms |
2488 KB |
contestant found the optimal answer: 900189994 == 900189994 |
17 |
Correct |
1 ms |
2396 KB |
contestant found the optimal answer: 999919994 == 999919994 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2396 KB |
contestant found the optimal answer: 1093956 == 1093956 |
2 |
Correct |
1 ms |
2396 KB |
contestant found the optimal answer: 302460000 == 302460000 |
3 |
Correct |
1 ms |
2396 KB |
contestant found the optimal answer: 122453454361 == 122453454361 |
4 |
Correct |
1 ms |
2396 KB |
contestant found the optimal answer: 93663683509 == 93663683509 |
5 |
Correct |
1 ms |
2492 KB |
contestant found the optimal answer: 1005304678 == 1005304678 |
6 |
Correct |
1 ms |
2396 KB |
contestant found the optimal answer: 933702 == 933702 |
7 |
Correct |
1 ms |
2396 KB |
contestant found the optimal answer: 25082842857 == 25082842857 |
8 |
Correct |
1 ms |
2396 KB |
contestant found the optimal answer: 687136 == 687136 |
9 |
Correct |
1 ms |
2396 KB |
contestant found the optimal answer: 27295930079 == 27295930079 |
10 |
Correct |
1 ms |
2396 KB |
contestant found the optimal answer: 29000419931 == 29000419931 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
2652 KB |
contestant found the optimal answer: 610590000 == 610590000 |
2 |
Correct |
1 ms |
2652 KB |
contestant found the optimal answer: 311760000 == 311760000 |
3 |
Correct |
1 ms |
2652 KB |
contestant found the optimal answer: 1989216017013 == 1989216017013 |
4 |
Correct |
1 ms |
2904 KB |
contestant found the optimal answer: 1499437552673 == 1499437552673 |
5 |
Correct |
1 ms |
2652 KB |
contestant found the optimal answer: 1019625819 == 1019625819 |
6 |
Correct |
1 ms |
2488 KB |
contestant found the optimal answer: 107630884 == 107630884 |
7 |
Correct |
1 ms |
2652 KB |
contestant found the optimal answer: 475357671774 == 475357671774 |
8 |
Correct |
1 ms |
2528 KB |
contestant found the optimal answer: 193556962 == 193556962 |
9 |
Correct |
1 ms |
2652 KB |
contestant found the optimal answer: 482389919803 == 482389919803 |
10 |
Correct |
1 ms |
2652 KB |
contestant found the optimal answer: 490686959791 == 490686959791 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4700 KB |
contestant found the optimal answer: 21503404 == 21503404 |
2 |
Correct |
1 ms |
4540 KB |
contestant found the optimal answer: 140412195 == 140412195 |
3 |
Correct |
8 ms |
4700 KB |
contestant found the optimal answer: 49729674225461 == 49729674225461 |
4 |
Correct |
1 ms |
4700 KB |
contestant found the optimal answer: 37485571387523 == 37485571387523 |
5 |
Correct |
6 ms |
4700 KB |
contestant found the optimal answer: 679388326 == 679388326 |
6 |
Correct |
5 ms |
4732 KB |
contestant found the optimal answer: 4699030287 == 4699030287 |
7 |
Correct |
8 ms |
4956 KB |
contestant found the optimal answer: 12418819758185 == 12418819758185 |
8 |
Correct |
4 ms |
4700 KB |
contestant found the optimal answer: 31093317350 == 31093317350 |
9 |
Correct |
2 ms |
4700 KB |
contestant found the optimal answer: 12194625429236 == 12194625429236 |
10 |
Correct |
3 ms |
4700 KB |
contestant found the optimal answer: 12345131038664 == 12345131038664 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
10840 KB |
contestant found the optimal answer: 1818678304 == 1818678304 |
2 |
Correct |
4 ms |
10844 KB |
contestant found the optimal answer: 1326260195 == 1326260195 |
3 |
Correct |
53 ms |
10844 KB |
contestant found the optimal answer: 4973126687469639 == 4973126687469639 |
4 |
Correct |
4 ms |
10844 KB |
contestant found the optimal answer: 3748491676694116 == 3748491676694116 |
5 |
Correct |
43 ms |
11016 KB |
contestant found the optimal answer: 1085432199 == 1085432199 |
6 |
Correct |
45 ms |
10840 KB |
contestant found the optimal answer: 514790755404 == 514790755404 |
7 |
Correct |
48 ms |
10844 KB |
contestant found the optimal answer: 1256105310476641 == 1256105310476641 |
8 |
Correct |
37 ms |
11020 KB |
contestant found the optimal answer: 3099592898816 == 3099592898816 |
9 |
Correct |
42 ms |
11164 KB |
contestant found the optimal answer: 1241131419367412 == 1241131419367412 |
10 |
Correct |
61 ms |
11004 KB |
contestant found the optimal answer: 1243084101967798 == 1243084101967798 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
52 ms |
84216 KB |
contestant found the optimal answer: 19795776960 == 19795776960 |
2 |
Correct |
32 ms |
84064 KB |
contestant found the optimal answer: 19874432173 == 19874432173 |
3 |
Correct |
577 ms |
84564 KB |
contestant found the optimal answer: 497313449256899208 == 497313449256899208 |
4 |
Correct |
35 ms |
84304 KB |
contestant found the optimal answer: 374850090734572421 == 374850090734572421 |
5 |
Correct |
694 ms |
84340 KB |
contestant found the optimal answer: 36183271951 == 36183271951 |
6 |
Correct |
514 ms |
83804 KB |
contestant found the optimal answer: 51629847150471 == 51629847150471 |
7 |
Correct |
521 ms |
84308 KB |
contestant found the optimal answer: 124074747024496432 == 124074747024496432 |
8 |
Correct |
407 ms |
84508 KB |
contestant found the optimal answer: 309959349080800 == 309959349080800 |
9 |
Correct |
482 ms |
84412 KB |
contestant found the optimal answer: 124113525649823701 == 124113525649823701 |
10 |
Correct |
619 ms |
84256 KB |
contestant found the optimal answer: 124309619349406845 == 124309619349406845 |