#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N = 100005, K = 205;
ll dp[K][N], sum[N], val[N], m[N], q[N], tot = 0;
int nxt[K][N];
ll get_val(int x, int l, int idx){
return m[x] * m[l] - m[l] * m[l] + dp[idx - 1][l];
}
double get_in(int a, int b, int idx){
return (double) 1.0 * (m[a] * m[a] - dp[idx - 1][a] - m[b] * m[b] + dp[idx - 1][b]) / (m[b] - m[a]);
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int n, k;
cin >> n >> k;
for(int i = 0; i < n; i++){
cin >> val[i];
tot += val[i];
sum[i] += val[i];
sum[i + 1] += sum[i];
}
for(int i = 0; i < n; i++) m[i] = tot - (i == 0 ? 0 : sum[i - 1]);
for(int i = 1; i <= k; i++){
val[n - 1] = n - 1;
dp[i][n - 1] = 0;
int idx = n - 1, nn = n - 1;
for(int j = n - 2; j >= 0; j--){
while(idx > nn && get_val(j, val[idx], i) <= get_val(j, val[idx - 1], i)) idx--;
nxt[i][j] = val[idx];
dp[i][j] = get_val(j, val[idx], i);
while(idx > nn && get_in(val[nn], val[nn + 1], i) <= get_in(j, val[nn], i)) nn++;
val[--nn] = j;
}
}
cout << dp[k][0] << endl;
int curr = nxt[k][0];
for(int i = k - 1; i >= 0; i--){
cout << curr << " ";
curr = nxt[i][curr];
}
cout << endl;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 108 == 108 |
| 2 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 999 == 999 |
| 3 |
Correct |
2 ms |
504 KB |
contestant found the optimal answer: 0 == 0 |
| 4 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 1542524 == 1542524 |
| 5 |
Correct |
2 ms |
504 KB |
contestant found the optimal answer: 4500000000 == 4500000000 |
| 6 |
Correct |
2 ms |
504 KB |
contestant found the optimal answer: 1 == 1 |
| 7 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 1 == 1 |
| 8 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 1 == 1 |
| 9 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 100400096 == 100400096 |
| 10 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 900320000 == 900320000 |
| 11 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 3698080248 == 3698080248 |
| 12 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 3200320000 == 3200320000 |
| 13 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 140072 == 140072 |
| 14 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 376041456 == 376041456 |
| 15 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 805 == 805 |
| 16 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 900189994 == 900189994 |
| 17 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 999919994 == 999919994 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 1093956 == 1093956 |
| 2 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 302460000 == 302460000 |
| 3 |
Correct |
2 ms |
888 KB |
contestant found the optimal answer: 122453454361 == 122453454361 |
| 4 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 93663683509 == 93663683509 |
| 5 |
Correct |
2 ms |
504 KB |
contestant found the optimal answer: 1005304678 == 1005304678 |
| 6 |
Correct |
2 ms |
504 KB |
contestant found the optimal answer: 933702 == 933702 |
| 7 |
Correct |
2 ms |
636 KB |
contestant found the optimal answer: 25082842857 == 25082842857 |
| 8 |
Correct |
2 ms |
504 KB |
contestant found the optimal answer: 687136 == 687136 |
| 9 |
Correct |
2 ms |
504 KB |
contestant found the optimal answer: 27295930079 == 27295930079 |
| 10 |
Correct |
2 ms |
504 KB |
contestant found the optimal answer: 29000419931 == 29000419931 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 610590000 == 610590000 |
| 2 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 311760000 == 311760000 |
| 3 |
Correct |
4 ms |
2860 KB |
contestant found the optimal answer: 1989216017013 == 1989216017013 |
| 4 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 1499437552673 == 1499437552673 |
| 5 |
Correct |
4 ms |
2296 KB |
contestant found the optimal answer: 1019625819 == 1019625819 |
| 6 |
Correct |
5 ms |
2680 KB |
contestant found the optimal answer: 107630884 == 107630884 |
| 7 |
Correct |
4 ms |
2808 KB |
contestant found the optimal answer: 475357671774 == 475357671774 |
| 8 |
Correct |
2 ms |
888 KB |
contestant found the optimal answer: 193556962 == 193556962 |
| 9 |
Correct |
2 ms |
760 KB |
contestant found the optimal answer: 482389919803 == 482389919803 |
| 10 |
Correct |
2 ms |
1016 KB |
contestant found the optimal answer: 490686959791 == 490686959791 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
504 KB |
contestant found the optimal answer: 21503404 == 21503404 |
| 2 |
Correct |
2 ms |
504 KB |
contestant found the optimal answer: 140412195 == 140412195 |
| 3 |
Correct |
8 ms |
4856 KB |
contestant found the optimal answer: 49729674225461 == 49729674225461 |
| 4 |
Correct |
2 ms |
504 KB |
contestant found the optimal answer: 37485571387523 == 37485571387523 |
| 5 |
Correct |
9 ms |
4856 KB |
contestant found the optimal answer: 679388326 == 679388326 |
| 6 |
Incorrect |
8 ms |
4216 KB |
contestant didn't find the optimal answer: 4699029554 < 4699030287 |
| 7 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
1016 KB |
contestant found the optimal answer: 1818678304 == 1818678304 |
| 2 |
Correct |
4 ms |
1076 KB |
contestant found the optimal answer: 1326260195 == 1326260195 |
| 3 |
Correct |
52 ms |
26104 KB |
contestant found the optimal answer: 4973126687469639 == 4973126687469639 |
| 4 |
Correct |
4 ms |
1016 KB |
contestant found the optimal answer: 3748491676694116 == 3748491676694116 |
| 5 |
Correct |
46 ms |
15864 KB |
contestant found the optimal answer: 1085432199 == 1085432199 |
| 6 |
Incorrect |
47 ms |
18424 KB |
contestant didn't find the optimal answer: 514786519644 < 514790755404 |
| 7 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
20 ms |
6392 KB |
contestant found the optimal answer: 19795776960 == 19795776960 |
| 2 |
Correct |
23 ms |
6392 KB |
contestant found the optimal answer: 19874432173 == 19874432173 |
| 3 |
Runtime error |
276 ms |
131072 KB |
Execution killed with signal 9 (could be triggered by violating memory limits) |
| 4 |
Halted |
0 ms |
0 KB |
- |
