#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
const int N = 1e5 + 3;
const ll INF = 2e12 + 3;
int n, k;
ll dp[N][203], p[N], ppm[N];
ld cross(int i, int j, int c){
ld rb = (dp[j][c - 1] - p[j] * p[j]) - (dp[i][c - 1] - p[i] * p[i]);
ld rk = p[i] - p[j];
return rb / rk;
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin >> n >> k;
for(int i = 1; i <= n; ++i){
ll a;
cin >> a;
p[i] = p[i - 1] + a;
ppm[i] = ppm[i - 1] + a * p[i - 1];
}
for(int j = 1; j <= k; ++j){
deque<int> q;
for(int i = 1; i < j + 1; ++i){
while(q.size() > 1 && cross(q[0], q[1], j) <= p[i]) q.pop_front();
dp[i][j] = ppm[i];
while(q.size() > 1){
if(p[q.back()] == p[i] && dp[i][j - 1] - p[i] * p[i] > dp[q.back()][j - 1] - p[q.back()] * p[q.back()]){
q.pop_back();
continue;
}
if(cross(q.back(), i, j) <= cross(q[q.size() - 2], q.back(), j)){
q.pop_back();
continue;
}
break;
}
if(q.size() > 0 && p[q.back()] == p[i]){
if(dp[i][j - 1] - p[i] * p[i] > dp[q.back()][j - 1] - p[q.back()] * p[q.back()]){
q.pop_back();
q.push_back(i);
}
continue;
}
q.push_back(i);
}
for(int i = j + 1; i <= n; ++i){
while(q.size() > 1 && cross(q[0], q[1], j) <= p[i]) q.pop_front();
int t = q.front();
dp[i][j] = dp[t][j - 1] + p[t] * (p[i] - p[t]);
while(q.size() > 1){
if(p[q.back()] == p[i] && dp[i][j - 1] - p[i] * p[i] > dp[q.back()][j - 1] - p[q.back()] * p[q.back()]){
q.pop_back();
continue;
}
if(cross(q.back(), i, j) <= cross(q[q.size() - 2], q.back(), j)){
q.pop_back();
continue;
}
break;
}
if(p[q.back()] == p[i]){
if(dp[i][j - 1] - p[i] * p[i] > dp[q.back()][j - 1] - p[q.back()] * p[q.back()]){
q.pop_back();
q.push_back(i);
}
continue;
}
q.push_back(i);
}
}
cout << dp[n][k] << "\n";
int poi = n - 1, end = n, cnt = k - 1;
for(; poi >= 1 && cnt >= 0; --poi){
if(dp[poi][cnt] + p[poi] * (p[end] - p[poi]) == dp[end][cnt + 1]){
cout << poi << " ";
end = poi;
cnt--;
}
}
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
340 KB |
contestant found the optimal answer: 108 == 108 |
| 2 |
Correct |
1 ms |
340 KB |
contestant found the optimal answer: 999 == 999 |
| 3 |
Correct |
1 ms |
324 KB |
contestant found the optimal answer: 0 == 0 |
| 4 |
Correct |
1 ms |
340 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 |
340 KB |
contestant found the optimal answer: 1 == 1 |
| 7 |
Correct |
1 ms |
340 KB |
contestant found the optimal answer: 1 == 1 |
| 8 |
Correct |
1 ms |
340 KB |
contestant found the optimal answer: 1 == 1 |
| 9 |
Correct |
1 ms |
340 KB |
contestant found the optimal answer: 100400096 == 100400096 |
| 10 |
Correct |
1 ms |
340 KB |
contestant found the optimal answer: 900320000 == 900320000 |
| 11 |
Correct |
0 ms |
340 KB |
contestant found the optimal answer: 3698080248 == 3698080248 |
| 12 |
Correct |
1 ms |
340 KB |
contestant found the optimal answer: 3200320000 == 3200320000 |
| 13 |
Correct |
1 ms |
340 KB |
contestant found the optimal answer: 140072 == 140072 |
| 14 |
Correct |
0 ms |
340 KB |
contestant found the optimal answer: 376041456 == 376041456 |
| 15 |
Correct |
1 ms |
324 KB |
contestant found the optimal answer: 805 == 805 |
| 16 |
Correct |
0 ms |
324 KB |
contestant found the optimal answer: 900189994 == 900189994 |
| 17 |
Correct |
0 ms |
340 KB |
contestant found the optimal answer: 999919994 == 999919994 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
340 KB |
contestant found the optimal answer: 1093956 == 1093956 |
| 2 |
Correct |
1 ms |
340 KB |
contestant found the optimal answer: 302460000 == 302460000 |
| 3 |
Correct |
1 ms |
340 KB |
contestant found the optimal answer: 122453454361 == 122453454361 |
| 4 |
Correct |
0 ms |
328 KB |
contestant found the optimal answer: 93663683509 == 93663683509 |
| 5 |
Correct |
1 ms |
340 KB |
contestant found the optimal answer: 1005304678 == 1005304678 |
| 6 |
Correct |
1 ms |
340 KB |
contestant found the optimal answer: 933702 == 933702 |
| 7 |
Correct |
1 ms |
340 KB |
contestant found the optimal answer: 25082842857 == 25082842857 |
| 8 |
Correct |
1 ms |
468 KB |
contestant found the optimal answer: 687136 == 687136 |
| 9 |
Correct |
1 ms |
340 KB |
contestant found the optimal answer: 27295930079 == 27295930079 |
| 10 |
Correct |
1 ms |
340 KB |
contestant found the optimal answer: 29000419931 == 29000419931 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
596 KB |
contestant found the optimal answer: 610590000 == 610590000 |
| 2 |
Correct |
1 ms |
596 KB |
contestant found the optimal answer: 311760000 == 311760000 |
| 3 |
Correct |
2 ms |
596 KB |
contestant found the optimal answer: 1989216017013 == 1989216017013 |
| 4 |
Correct |
1 ms |
580 KB |
contestant found the optimal answer: 1499437552673 == 1499437552673 |
| 5 |
Correct |
2 ms |
580 KB |
contestant found the optimal answer: 1019625819 == 1019625819 |
| 6 |
Correct |
2 ms |
580 KB |
contestant found the optimal answer: 107630884 == 107630884 |
| 7 |
Correct |
2 ms |
596 KB |
contestant found the optimal answer: 475357671774 == 475357671774 |
| 8 |
Correct |
1 ms |
596 KB |
contestant found the optimal answer: 193556962 == 193556962 |
| 9 |
Correct |
1 ms |
596 KB |
contestant found the optimal answer: 482389919803 == 482389919803 |
| 10 |
Correct |
1 ms |
584 KB |
contestant found the optimal answer: 490686959791 == 490686959791 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
1876 KB |
contestant found the optimal answer: 21503404 == 21503404 |
| 2 |
Correct |
1 ms |
1876 KB |
contestant found the optimal answer: 140412195 == 140412195 |
| 3 |
Correct |
7 ms |
1876 KB |
contestant found the optimal answer: 49729674225461 == 49729674225461 |
| 4 |
Correct |
2 ms |
1876 KB |
contestant found the optimal answer: 37485571387523 == 37485571387523 |
| 5 |
Correct |
9 ms |
1860 KB |
contestant found the optimal answer: 679388326 == 679388326 |
| 6 |
Correct |
8 ms |
1864 KB |
contestant found the optimal answer: 4699030287 == 4699030287 |
| 7 |
Correct |
9 ms |
1956 KB |
contestant found the optimal answer: 12418819758185 == 12418819758185 |
| 8 |
Correct |
11 ms |
1876 KB |
contestant found the optimal answer: 31093317350 == 31093317350 |
| 9 |
Correct |
3 ms |
1876 KB |
contestant found the optimal answer: 12194625429236 == 12194625429236 |
| 10 |
Correct |
5 ms |
1876 KB |
contestant found the optimal answer: 12345131038664 == 12345131038664 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
9 ms |
16340 KB |
contestant found the optimal answer: 1818678304 == 1818678304 |
| 2 |
Correct |
8 ms |
16340 KB |
contestant found the optimal answer: 1326260195 == 1326260195 |
| 3 |
Correct |
78 ms |
16444 KB |
contestant found the optimal answer: 4973126687469639 == 4973126687469639 |
| 4 |
Correct |
9 ms |
16340 KB |
contestant found the optimal answer: 3748491676694116 == 3748491676694116 |
| 5 |
Correct |
63 ms |
16412 KB |
contestant found the optimal answer: 1085432199 == 1085432199 |
| 6 |
Correct |
69 ms |
16340 KB |
contestant found the optimal answer: 514790755404 == 514790755404 |
| 7 |
Correct |
81 ms |
16336 KB |
contestant found the optimal answer: 1256105310476641 == 1256105310476641 |
| 8 |
Correct |
55 ms |
16432 KB |
contestant found the optimal answer: 3099592898816 == 3099592898816 |
| 9 |
Correct |
64 ms |
16340 KB |
contestant found the optimal answer: 1241131419367412 == 1241131419367412 |
| 10 |
Correct |
81 ms |
16424 KB |
contestant found the optimal answer: 1243084101967798 == 1243084101967798 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Runtime error |
62 ms |
131072 KB |
Execution killed with signal 9 |
| 2 |
Halted |
0 ms |
0 KB |
- |
