#include <bits/stdc++.h>
using namespace std;
#define fr first
#define sc second
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
int n, k, opt[100002][202], ps[100069];
vector<int> vc;
long long dp[100069][2];
bool mantap(long long c1, int m1, long long c2, int m2, long long c3, int m3)
{
return (m2 != m3) && 1.0*(c1-c2)/(m2-m1)<1.0*(c2-c3)/(m3-m2);
}
long long calc(int id1, int id2, int c)
{
if (dp[id1][c%2] == -1e15) return -1e15;
return dp[id1][c%2]+1ll*(ps[id2]-ps[id1])*ps[id1];
}
long long calc_c(int id, int c)
{
if (dp[id][c%2] == -1e15) return -1e15;
return dp[id][c%2]-1ll*ps[id]*ps[id];
}
int main()
{
int i, j, c;
scanf("%d%d", &n, &k);
k++;
for (i=1; i<=n; i++)
{
scanf("%d", ps+i);
ps[i] += ps[i-1];
dp[i][0] = -1e15;
}
for (c=1; c<=k; c++)
{
dp[0][c%2] = -1e15;
for (i=1, j=0; i<=n; i++)
{
vc.push_back(i-1);
for (; j+1<vc.size() && calc(vc[j], i, c-1)<=calc(vc[j+1], i, c-1); j++);
j = min(j, (int)vc.size()-1);
opt[i][c] = vc[j];
dp[i][c%2] = calc(vc[j], i, c-1);
// printf("vc[%d] = %d\n", j, vc[j]);
// printf("dp[%d][%d] = %lld\n\n", i, c, dp[i][c%2]);
for (; !vc.empty() && calc_c(vc.back(), c-1)==-1e15; vc.pop_back());
for (; vc.size()>=2 && !mantap(calc_c(vc.size()-2, c-1), ps[vc.size()-2], calc_c(vc.back(), c-1), ps[vc.back()], calc_c(i, c-1), ps[i]); vc.pop_back());
}
vc.clear();
}
printf("%lld\n", dp[n][k%2]);
for (i=n, c=k; c>=2; i=opt[i][c], c--)
{
printf("%d ", opt[i][c]);
}
printf("\n");
}
Compilation message
sequence.cpp: In function 'int main()':
sequence.cpp:45:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
45 | for (; j+1<vc.size() && calc(vc[j], i, c-1)<=calc(vc[j+1], i, c-1); j++);
| ~~~^~~~~~~~~~
sequence.cpp:31:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
31 | scanf("%d%d", &n, &k);
| ~~~~~^~~~~~~~~~~~~~~~
sequence.cpp:35:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
35 | scanf("%d", ps+i);
| ~~~~~^~~~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
2392 KB |
contestant found the optimal answer: 108 == 108 |
| 2 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 999 == 999 |
| 3 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 0 == 0 |
| 4 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 1542524 == 1542524 |
| 5 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 4500000000 == 4500000000 |
| 6 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 1 == 1 |
| 7 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 1 == 1 |
| 8 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 1 == 1 |
| 9 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 100400096 == 100400096 |
| 10 |
Correct |
1 ms |
348 KB |
contestant found the optimal answer: 900320000 == 900320000 |
| 11 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 3698080248 == 3698080248 |
| 12 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 3200320000 == 3200320000 |
| 13 |
Correct |
1 ms |
348 KB |
contestant found the optimal answer: 140072 == 140072 |
| 14 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 376041456 == 376041456 |
| 15 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 805 == 805 |
| 16 |
Correct |
1 ms |
348 KB |
contestant found the optimal answer: 900189994 == 900189994 |
| 17 |
Correct |
1 ms |
348 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 |
0 ms |
348 KB |
contestant found the optimal answer: 302460000 == 302460000 |
| 3 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 122453454361 == 122453454361 |
| 4 |
Correct |
1 ms |
348 KB |
contestant found the optimal answer: 93663683509 == 93663683509 |
| 5 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 1005304678 == 1005304678 |
| 6 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 933702 == 933702 |
| 7 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 25082842857 == 25082842857 |
| 8 |
Correct |
1 ms |
348 KB |
contestant found the optimal answer: 687136 == 687136 |
| 9 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 27295930079 == 27295930079 |
| 10 |
Correct |
0 ms |
348 KB |
contestant found the optimal answer: 29000419931 == 29000419931 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
604 KB |
contestant found the optimal answer: 610590000 == 610590000 |
| 2 |
Correct |
1 ms |
600 KB |
contestant found the optimal answer: 311760000 == 311760000 |
| 3 |
Correct |
1 ms |
600 KB |
contestant found the optimal answer: 1989216017013 == 1989216017013 |
| 4 |
Correct |
1 ms |
604 KB |
contestant found the optimal answer: 1499437552673 == 1499437552673 |
| 5 |
Correct |
1 ms |
604 KB |
contestant found the optimal answer: 1019625819 == 1019625819 |
| 6 |
Correct |
1 ms |
604 KB |
contestant found the optimal answer: 107630884 == 107630884 |
| 7 |
Correct |
1 ms |
604 KB |
contestant found the optimal answer: 475357671774 == 475357671774 |
| 8 |
Correct |
0 ms |
604 KB |
contestant found the optimal answer: 193556962 == 193556962 |
| 9 |
Correct |
0 ms |
392 KB |
contestant found the optimal answer: 482389919803 == 482389919803 |
| 10 |
Correct |
1 ms |
604 KB |
contestant found the optimal answer: 490686959791 == 490686959791 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
2908 KB |
contestant found the optimal answer: 21503404 == 21503404 |
| 2 |
Correct |
1 ms |
1116 KB |
contestant found the optimal answer: 140412195 == 140412195 |
| 3 |
Correct |
5 ms |
1116 KB |
contestant found the optimal answer: 49729674225461 == 49729674225461 |
| 4 |
Correct |
1 ms |
1116 KB |
contestant found the optimal answer: 37485571387523 == 37485571387523 |
| 5 |
Correct |
6 ms |
1116 KB |
contestant found the optimal answer: 679388326 == 679388326 |
| 6 |
Incorrect |
6 ms |
1116 KB |
contestant didn't find the optimal answer: 4699005326 < 4699030287 |
| 7 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
5 ms |
8536 KB |
contestant found the optimal answer: 1818678304 == 1818678304 |
| 2 |
Correct |
4 ms |
8536 KB |
contestant found the optimal answer: 1326260195 == 1326260195 |
| 3 |
Correct |
45 ms |
8540 KB |
contestant found the optimal answer: 4973126687469639 == 4973126687469639 |
| 4 |
Correct |
4 ms |
10332 KB |
contestant found the optimal answer: 3748491676694116 == 3748491676694116 |
| 5 |
Correct |
43 ms |
10332 KB |
contestant found the optimal answer: 1085432199 == 1085432199 |
| 6 |
Incorrect |
47 ms |
8540 KB |
contestant didn't find the optimal answer: 514785562499 < 514790755404 |
| 7 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
47 ms |
81872 KB |
contestant found the optimal answer: 19795776960 == 19795776960 |
| 2 |
Correct |
46 ms |
82088 KB |
contestant found the optimal answer: 19874432173 == 19874432173 |
| 3 |
Correct |
473 ms |
81872 KB |
contestant found the optimal answer: 497313449256899208 == 497313449256899208 |
| 4 |
Correct |
44 ms |
81880 KB |
contestant found the optimal answer: 374850090734572421 == 374850090734572421 |
| 5 |
Correct |
676 ms |
81872 KB |
contestant found the optimal answer: 36183271951 == 36183271951 |
| 6 |
Correct |
490 ms |
82124 KB |
contestant found the optimal answer: 51629847150471 == 51629847150471 |
| 7 |
Correct |
493 ms |
82380 KB |
contestant found the optimal answer: 124074747024496432 == 124074747024496432 |
| 8 |
Correct |
339 ms |
82380 KB |
contestant found the optimal answer: 309959349080800 == 309959349080800 |
| 9 |
Correct |
367 ms |
82388 KB |
contestant found the optimal answer: 124113525649823701 == 124113525649823701 |
| 10 |
Correct |
474 ms |
82380 KB |
contestant found the optimal answer: 124309619349406845 == 124309619349406845 |
