#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define mp make_pair
#define pb push_back
#define eprintf(...) fprintf(stderr, __VA_ARGS__)
#define rep(i, n) for (int i = 0; i < (int)(n); ++ i)
struct func {
int k; ll b;
func(): k(), b() {}
func(int k, ll b): k(k), b(b) {}
ll get(int x) { return 1LL * k * x + b; }
double inter(func o) {
return -(double)(b - o.b) / (k - o.k);
}
};
int n, k, a[100005], s[100005];
ll dp[100005], ndp[100005];
int pr[100005][205];
func f[100005];
int que[100005], ql, qr;
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
cin >> n >> k;
rep(i, n) cin >> a[i], s[i + 1] = s[i] + a[i];
rep(j, k) {
ql = qr = 0;
rep(i, n) {
f[i] = func(s[i], dp[i] - 1LL * s[i] * s[i]);
while (qr - ql >= 2 && f[que[qr - 2]].inter(f[i]) <= f[que[qr - 2]].inter(f[que[qr - 1]])) -- qr;
que[qr ++] = i;
while (qr - ql >= 2 && f[que[ql]].get(s[i + 1]) <= f[que[ql + 1]].get(s[i + 1])) ++ ql;
ndp[i + 1] = f[que[ql]].get(s[i + 1]);
pr[i + 1][j + 1] = que[ql];
}
memcpy(dp, ndp, sizeof(dp));
}
cout << dp[n] << endl;
vector <int> ans;
int i = n, j = k;
while (j) i = pr[i][j], -- j, ans.pb(i);
reverse(ans.begin(), ans.end());
rep(i, ans.size()) cout << ans[i] << " ";
cout << endl;
return 0;
}
/*
7 3
4 1 3 4 0 2 3
*/
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
2668 KB |
contestant found the optimal answer: 108 == 108 |
| 2 |
Correct |
2 ms |
2668 KB |
contestant found the optimal answer: 999 == 999 |
| 3 |
Correct |
2 ms |
2668 KB |
contestant found the optimal answer: 0 == 0 |
| 4 |
Correct |
2 ms |
2668 KB |
contestant found the optimal answer: 1542524 == 1542524 |
| 5 |
Correct |
2 ms |
2668 KB |
contestant found the optimal answer: 4500000000 == 4500000000 |
| 6 |
Correct |
2 ms |
2668 KB |
contestant found the optimal answer: 1 == 1 |
| 7 |
Correct |
2 ms |
2668 KB |
contestant found the optimal answer: 1 == 1 |
| 8 |
Correct |
2 ms |
2668 KB |
contestant found the optimal answer: 1 == 1 |
| 9 |
Correct |
2 ms |
2668 KB |
contestant found the optimal answer: 100400096 == 100400096 |
| 10 |
Correct |
2 ms |
2668 KB |
contestant found the optimal answer: 900320000 == 900320000 |
| 11 |
Correct |
2 ms |
2668 KB |
contestant found the optimal answer: 3698080248 == 3698080248 |
| 12 |
Correct |
2 ms |
2668 KB |
contestant found the optimal answer: 3200320000 == 3200320000 |
| 13 |
Correct |
2 ms |
2668 KB |
contestant found the optimal answer: 140072 == 140072 |
| 14 |
Correct |
2 ms |
2668 KB |
contestant found the optimal answer: 376041456 == 376041456 |
| 15 |
Correct |
2 ms |
2668 KB |
contestant found the optimal answer: 805 == 805 |
| 16 |
Correct |
2 ms |
2668 KB |
contestant found the optimal answer: 900189994 == 900189994 |
| 17 |
Correct |
3 ms |
2668 KB |
contestant found the optimal answer: 999919994 == 999919994 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
3 ms |
2796 KB |
contestant found the optimal answer: 1093956 == 1093956 |
| 2 |
Correct |
2 ms |
2796 KB |
contestant found the optimal answer: 302460000 == 302460000 |
| 3 |
Correct |
4 ms |
2796 KB |
contestant found the optimal answer: 122453454361 == 122453454361 |
| 4 |
Correct |
3 ms |
2796 KB |
contestant found the optimal answer: 93663683509 == 93663683509 |
| 5 |
Correct |
2 ms |
2796 KB |
contestant found the optimal answer: 1005304678 == 1005304678 |
| 6 |
Correct |
2 ms |
2796 KB |
contestant found the optimal answer: 933702 == 933702 |
| 7 |
Correct |
3 ms |
2796 KB |
contestant found the optimal answer: 25082842857 == 25082842857 |
| 8 |
Correct |
2 ms |
2796 KB |
contestant found the optimal answer: 687136 == 687136 |
| 9 |
Correct |
2 ms |
2796 KB |
contestant found the optimal answer: 27295930079 == 27295930079 |
| 10 |
Correct |
3 ms |
2796 KB |
contestant found the optimal answer: 29000419931 == 29000419931 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
2924 KB |
contestant found the optimal answer: 610590000 == 610590000 |
| 2 |
Correct |
2 ms |
2924 KB |
contestant found the optimal answer: 311760000 == 311760000 |
| 3 |
Correct |
9 ms |
2924 KB |
contestant found the optimal answer: 1989216017013 == 1989216017013 |
| 4 |
Correct |
2 ms |
2924 KB |
contestant found the optimal answer: 1499437552673 == 1499437552673 |
| 5 |
Correct |
7 ms |
2924 KB |
contestant found the optimal answer: 1019625819 == 1019625819 |
| 6 |
Correct |
9 ms |
2924 KB |
contestant found the optimal answer: 107630884 == 107630884 |
| 7 |
Correct |
9 ms |
2924 KB |
contestant found the optimal answer: 475357671774 == 475357671774 |
| 8 |
Correct |
4 ms |
2924 KB |
contestant found the optimal answer: 193556962 == 193556962 |
| 9 |
Correct |
4 ms |
2924 KB |
contestant found the optimal answer: 482389919803 == 482389919803 |
| 10 |
Correct |
4 ms |
2924 KB |
contestant found the optimal answer: 490686959791 == 490686959791 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
3 ms |
3584 KB |
contestant found the optimal answer: 21503404 == 21503404 |
| 2 |
Correct |
3 ms |
3564 KB |
contestant found the optimal answer: 140412195 == 140412195 |
| 3 |
Correct |
14 ms |
3564 KB |
contestant found the optimal answer: 49729674225461 == 49729674225461 |
| 4 |
Correct |
3 ms |
3564 KB |
contestant found the optimal answer: 37485571387523 == 37485571387523 |
| 5 |
Correct |
14 ms |
3564 KB |
contestant found the optimal answer: 679388326 == 679388326 |
| 6 |
Correct |
13 ms |
3564 KB |
contestant found the optimal answer: 4699030287 == 4699030287 |
| 7 |
Correct |
14 ms |
3564 KB |
contestant found the optimal answer: 12418819758185 == 12418819758185 |
| 8 |
Correct |
13 ms |
3564 KB |
contestant found the optimal answer: 31093317350 == 31093317350 |
| 9 |
Correct |
5 ms |
3564 KB |
contestant found the optimal answer: 12194625429236 == 12194625429236 |
| 10 |
Correct |
7 ms |
3564 KB |
contestant found the optimal answer: 12345131038664 == 12345131038664 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
8 ms |
10860 KB |
contestant found the optimal answer: 1818678304 == 1818678304 |
| 2 |
Correct |
9 ms |
10988 KB |
contestant found the optimal answer: 1326260195 == 1326260195 |
| 3 |
Correct |
62 ms |
10988 KB |
contestant found the optimal answer: 4973126687469639 == 4973126687469639 |
| 4 |
Correct |
8 ms |
10988 KB |
contestant found the optimal answer: 3748491676694116 == 3748491676694116 |
| 5 |
Correct |
48 ms |
10860 KB |
contestant found the optimal answer: 1085432199 == 1085432199 |
| 6 |
Correct |
53 ms |
10860 KB |
contestant found the optimal answer: 514790755404 == 514790755404 |
| 7 |
Correct |
52 ms |
10988 KB |
contestant found the optimal answer: 1256105310476641 == 1256105310476641 |
| 8 |
Correct |
41 ms |
10988 KB |
contestant found the optimal answer: 3099592898816 == 3099592898816 |
| 9 |
Correct |
50 ms |
10988 KB |
contestant found the optimal answer: 1241131419367412 == 1241131419367412 |
| 10 |
Correct |
61 ms |
10988 KB |
contestant found the optimal answer: 1243084101967798 == 1243084101967798 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
60 ms |
84972 KB |
contestant found the optimal answer: 19795776960 == 19795776960 |
| 2 |
Correct |
56 ms |
84972 KB |
contestant found the optimal answer: 19874432173 == 19874432173 |
| 3 |
Correct |
636 ms |
85464 KB |
contestant found the optimal answer: 497313449256899208 == 497313449256899208 |
| 4 |
Correct |
59 ms |
85356 KB |
contestant found the optimal answer: 374850090734572421 == 374850090734572421 |
| 5 |
Correct |
739 ms |
85100 KB |
contestant found the optimal answer: 36183271951 == 36183271951 |
| 6 |
Correct |
523 ms |
84972 KB |
contestant found the optimal answer: 51629847150471 == 51629847150471 |
| 7 |
Correct |
572 ms |
85356 KB |
contestant found the optimal answer: 124074747024496432 == 124074747024496432 |
| 8 |
Correct |
441 ms |
85228 KB |
contestant found the optimal answer: 309959349080800 == 309959349080800 |
| 9 |
Correct |
487 ms |
85356 KB |
contestant found the optimal answer: 124113525649823701 == 124113525649823701 |
| 10 |
Correct |
616 ms |
85228 KB |
contestant found the optimal answer: 124309619349406845 == 124309619349406845 |
