#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using lf = long double;
#define x first
#define y second
struct Line{
ll a, b, i;
ll f(ll x){
return a * x + b;
}
};
lf X_cross(Line f, Line g){
return 1.0 * (f.b - g.b) / (g.a - f.a);
}
ll N, K;
ll A[100005];
ll S[100005];
ll D[2][100005];
int T[202][100002];
int main(){
cin.tie(0) -> sync_with_stdio(false);
cin >> N >> K;
for(int i = 1; i <= N; i++){
cin >> A[i];
S[i] = S[i - 1] + A[i];
}
for(int i = 1; i <= K; i++){
ll p = i % 2, q = (i - 1) % 2;
deque<Line> dq;
dq.push_back({S[i], D[q][i] - S[i] * S[i], i});
for(int j = i + 1; j <= N; j++){
while(dq.size() >= 2 && dq[0].f(S[j]) <= dq[1].f(S[j])) dq.pop_front();
D[p][j] = dq[0].f(S[j]);
T[i][j] = dq[0].i;
Line f = {S[j], D[q][j] - S[j] * S[j], j};
while(dq.size() >= 2 && X_cross(dq[dq.size() - 1], dq[dq.size() - 2]) >= X_cross(dq[dq.size() - 2], f)) dq.pop_back();
dq.push_back(f);
}
}
cout << D[K % 2][N] << '\n';
ll idx = N;
for(int i = K; i >= 1; i--){
idx = T[i][idx];
cout << idx << ' ';
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
324 KB |
contestant found the optimal answer: 108 == 108 |
2 |
Correct |
1 ms |
332 KB |
contestant found the optimal answer: 999 == 999 |
3 |
Correct |
0 ms |
332 KB |
contestant found the optimal answer: 0 == 0 |
4 |
Correct |
0 ms |
332 KB |
contestant found the optimal answer: 1542524 == 1542524 |
5 |
Correct |
1 ms |
332 KB |
contestant found the optimal answer: 4500000000 == 4500000000 |
6 |
Correct |
1 ms |
332 KB |
contestant found the optimal answer: 1 == 1 |
7 |
Correct |
1 ms |
332 KB |
contestant found the optimal answer: 1 == 1 |
8 |
Correct |
0 ms |
332 KB |
contestant found the optimal answer: 1 == 1 |
9 |
Correct |
1 ms |
332 KB |
contestant found the optimal answer: 100400096 == 100400096 |
10 |
Correct |
0 ms |
332 KB |
contestant found the optimal answer: 900320000 == 900320000 |
11 |
Correct |
0 ms |
332 KB |
contestant found the optimal answer: 3698080248 == 3698080248 |
12 |
Correct |
0 ms |
332 KB |
contestant found the optimal answer: 3200320000 == 3200320000 |
13 |
Correct |
1 ms |
332 KB |
contestant found the optimal answer: 140072 == 140072 |
14 |
Correct |
0 ms |
332 KB |
contestant found the optimal answer: 376041456 == 376041456 |
15 |
Correct |
0 ms |
320 KB |
contestant found the optimal answer: 805 == 805 |
16 |
Correct |
0 ms |
332 KB |
contestant found the optimal answer: 900189994 == 900189994 |
17 |
Correct |
1 ms |
332 KB |
contestant found the optimal answer: 999919994 == 999919994 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
320 KB |
contestant found the optimal answer: 1093956 == 1093956 |
2 |
Correct |
1 ms |
332 KB |
contestant found the optimal answer: 302460000 == 302460000 |
3 |
Correct |
1 ms |
588 KB |
contestant found the optimal answer: 122453454361 == 122453454361 |
4 |
Correct |
1 ms |
332 KB |
contestant found the optimal answer: 93663683509 == 93663683509 |
5 |
Correct |
1 ms |
332 KB |
contestant found the optimal answer: 1005304678 == 1005304678 |
6 |
Correct |
1 ms |
332 KB |
contestant found the optimal answer: 933702 == 933702 |
7 |
Correct |
1 ms |
460 KB |
contestant found the optimal answer: 25082842857 == 25082842857 |
8 |
Correct |
1 ms |
316 KB |
contestant found the optimal answer: 687136 == 687136 |
9 |
Correct |
1 ms |
332 KB |
contestant found the optimal answer: 27295930079 == 27295930079 |
10 |
Correct |
1 ms |
332 KB |
contestant found the optimal answer: 29000419931 == 29000419931 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
316 KB |
contestant found the optimal answer: 610590000 == 610590000 |
2 |
Correct |
0 ms |
320 KB |
contestant found the optimal answer: 311760000 == 311760000 |
3 |
Correct |
1 ms |
1340 KB |
contestant found the optimal answer: 1989216017013 == 1989216017013 |
4 |
Correct |
1 ms |
332 KB |
contestant found the optimal answer: 1499437552673 == 1499437552673 |
5 |
Correct |
2 ms |
1068 KB |
contestant found the optimal answer: 1019625819 == 1019625819 |
6 |
Correct |
2 ms |
1228 KB |
contestant found the optimal answer: 107630884 == 107630884 |
7 |
Correct |
1 ms |
1356 KB |
contestant found the optimal answer: 475357671774 == 475357671774 |
8 |
Correct |
1 ms |
588 KB |
contestant found the optimal answer: 193556962 == 193556962 |
9 |
Correct |
1 ms |
460 KB |
contestant found the optimal answer: 482389919803 == 482389919803 |
10 |
Correct |
1 ms |
576 KB |
contestant found the optimal answer: 490686959791 == 490686959791 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
332 KB |
contestant found the optimal answer: 21503404 == 21503404 |
2 |
Correct |
1 ms |
332 KB |
contestant found the optimal answer: 140412195 == 140412195 |
3 |
Correct |
5 ms |
1996 KB |
contestant found the optimal answer: 49729674225461 == 49729674225461 |
4 |
Correct |
1 ms |
364 KB |
contestant found the optimal answer: 37485571387523 == 37485571387523 |
5 |
Correct |
6 ms |
1984 KB |
contestant found the optimal answer: 679388326 == 679388326 |
6 |
Correct |
6 ms |
1740 KB |
contestant found the optimal answer: 4699030287 == 4699030287 |
7 |
Correct |
6 ms |
1996 KB |
contestant found the optimal answer: 12418819758185 == 12418819758185 |
8 |
Correct |
5 ms |
1996 KB |
contestant found the optimal answer: 31093317350 == 31093317350 |
9 |
Correct |
2 ms |
708 KB |
contestant found the optimal answer: 12194625429236 == 12194625429236 |
10 |
Correct |
4 ms |
972 KB |
contestant found the optimal answer: 12345131038664 == 12345131038664 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
844 KB |
contestant found the optimal answer: 1818678304 == 1818678304 |
2 |
Correct |
2 ms |
916 KB |
contestant found the optimal answer: 1326260195 == 1326260195 |
3 |
Correct |
65 ms |
9540 KB |
contestant found the optimal answer: 4973126687469639 == 4973126687469639 |
4 |
Correct |
3 ms |
928 KB |
contestant found the optimal answer: 3748491676694116 == 3748491676694116 |
5 |
Correct |
46 ms |
5996 KB |
contestant found the optimal answer: 1085432199 == 1085432199 |
6 |
Correct |
51 ms |
6776 KB |
contestant found the optimal answer: 514790755404 == 514790755404 |
7 |
Correct |
50 ms |
7324 KB |
contestant found the optimal answer: 1256105310476641 == 1256105310476641 |
8 |
Correct |
39 ms |
6108 KB |
contestant found the optimal answer: 3099592898816 == 3099592898816 |
9 |
Correct |
46 ms |
6856 KB |
contestant found the optimal answer: 1241131419367412 == 1241131419367412 |
10 |
Correct |
59 ms |
8552 KB |
contestant found the optimal answer: 1243084101967798 == 1243084101967798 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
18 ms |
5344 KB |
contestant found the optimal answer: 19795776960 == 19795776960 |
2 |
Correct |
18 ms |
5240 KB |
contestant found the optimal answer: 19874432173 == 19874432173 |
3 |
Correct |
559 ms |
82316 KB |
contestant found the optimal answer: 497313449256899208 == 497313449256899208 |
4 |
Correct |
17 ms |
5736 KB |
contestant found the optimal answer: 374850090734572421 == 374850090734572421 |
5 |
Correct |
751 ms |
82036 KB |
contestant found the optimal answer: 36183271951 == 36183271951 |
6 |
Correct |
530 ms |
58580 KB |
contestant found the optimal answer: 51629847150471 == 51629847150471 |
7 |
Correct |
517 ms |
62784 KB |
contestant found the optimal answer: 124074747024496432 == 124074747024496432 |
8 |
Correct |
413 ms |
51652 KB |
contestant found the optimal answer: 309959349080800 == 309959349080800 |
9 |
Correct |
460 ms |
58648 KB |
contestant found the optimal answer: 124113525649823701 == 124113525649823701 |
10 |
Correct |
577 ms |
74356 KB |
contestant found the optimal answer: 124309619349406845 == 124309619349406845 |