#include<cstdio>
#include<algorithm>
#include<deque>
using namespace std;
typedef long long ll;
typedef pair<ll,int> pp;
ll d[2][100010],s[100010],N,K;
int r[201][100001];
void f(int x,int y){
if(x==1)return;
f(x-1,r[x][y]);
printf("%d ",r[x][y]);
}
struct convex{
deque<ll> a,b;
deque<int> c;
void init(){a.clear();b.clear();c.clear();}
void push(ll n,ll m,int v){
while(a.size()>1&&(b[b.size()-2]-b.back())*(n-a.back())>=(b.back()-m)*(a.back()-a[a.size()-2])){
a.pop_back();
b.pop_back();
c.pop_back();
}
a.push_back(n);
b.push_back(m);
c.push_back(v);
}
pp query(ll x){
while(a.size()>1&&(a[1]-a[0])*x>(b[0]-b[1])){
a.pop_front();
b.pop_front();
c.pop_front();
}
return pp(a[0]*x+b[0],c[0]);
}
};
int main(){
scanf("%lld%lld",&N,&K);
if(K==0)K++;
for(int i=1;i<=N;i++){
scanf("%lld",&s[i]);
s[i]+=s[i-1];
}
convex* pre=new convex;
convex* cur=new convex;
pp ret;
for(int g=1;g<=K+1;g++){
pre->push(0,0,0);
for(int i=g;i<=N;i++){
ret=pre->query(s[i]);
d[g%2][i]=ret.first+(s[N]-s[i])*s[i];
r[g][i]=ret.second;
cur->push(s[i],d[g%2][i]-s[i]*s[N],i);
}
pre->init();
swap(cur,pre);
}
printf("%lld\n",d[(K+1)&1][N]);
f(K+1,N);
delete cur,pre;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 108 == 108 |
| 2 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 999 == 999 |
| 3 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 0 == 0 |
| 4 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 1542524 == 1542524 |
| 5 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 4500000000 == 4500000000 |
| 6 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 1 == 1 |
| 7 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 1 == 1 |
| 8 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 1 == 1 |
| 9 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 100400096 == 100400096 |
| 10 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 900320000 == 900320000 |
| 11 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 3698080248 == 3698080248 |
| 12 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 3200320000 == 3200320000 |
| 13 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 140072 == 140072 |
| 14 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 376041456 == 376041456 |
| 15 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 805 == 805 |
| 16 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 900189994 == 900189994 |
| 17 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 999919994 == 999919994 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 1093956 == 1093956 |
| 2 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 302460000 == 302460000 |
| 3 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 122453454361 == 122453454361 |
| 4 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 93663683509 == 93663683509 |
| 5 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 1005304678 == 1005304678 |
| 6 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 933702 == 933702 |
| 7 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 25082842857 == 25082842857 |
| 8 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 687136 == 687136 |
| 9 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 27295930079 == 27295930079 |
| 10 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 29000419931 == 29000419931 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 610590000 == 610590000 |
| 2 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 311760000 == 311760000 |
| 3 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 1989216017013 == 1989216017013 |
| 4 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 1499437552673 == 1499437552673 |
| 5 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 1019625819 == 1019625819 |
| 6 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 107630884 == 107630884 |
| 7 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 475357671774 == 475357671774 |
| 8 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 193556962 == 193556962 |
| 9 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 482389919803 == 482389919803 |
| 10 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 490686959791 == 490686959791 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 21503404 == 21503404 |
| 2 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 140412195 == 140412195 |
| 3 |
Correct |
7 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 49729674225461 == 49729674225461 |
| 4 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 37485571387523 == 37485571387523 |
| 5 |
Correct |
7 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 679388326 == 679388326 |
| 6 |
Correct |
16 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 4699030287 == 4699030287 |
| 7 |
Correct |
19 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 12418819758185 == 12418819758185 |
| 8 |
Correct |
7 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 31093317350 == 31093317350 |
| 9 |
Correct |
0 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 12194625429236 == 12194625429236 |
| 10 |
Correct |
5 ms |
82440 KB |
Output is correct - contestant found the optimal answer: 12345131038664 == 12345131038664 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
82568 KB |
Output is correct - contestant found the optimal answer: 1818678304 == 1818678304 |
| 2 |
Correct |
4 ms |
82700 KB |
Output is correct - contestant found the optimal answer: 1326260195 == 1326260195 |
| 3 |
Correct |
95 ms |
82704 KB |
Output is correct - contestant found the optimal answer: 4973126687469639 == 4973126687469639 |
| 4 |
Correct |
5 ms |
82704 KB |
Output is correct - contestant found the optimal answer: 3748491676694116 == 3748491676694116 |
| 5 |
Correct |
75 ms |
82700 KB |
Output is correct - contestant found the optimal answer: 1085432199 == 1085432199 |
| 6 |
Correct |
87 ms |
82568 KB |
Output is correct - contestant found the optimal answer: 514790755404 == 514790755404 |
| 7 |
Correct |
89 ms |
82704 KB |
Output is correct - contestant found the optimal answer: 1256105310476641 == 1256105310476641 |
| 8 |
Correct |
70 ms |
82704 KB |
Output is correct - contestant found the optimal answer: 3099592898816 == 3099592898816 |
| 9 |
Correct |
78 ms |
82704 KB |
Output is correct - contestant found the optimal answer: 1241131419367412 == 1241131419367412 |
| 10 |
Correct |
100 ms |
82704 KB |
Output is correct - contestant found the optimal answer: 1243084101967798 == 1243084101967798 |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
38 ms |
84792 KB |
Output is correct - contestant found the optimal answer: 19795776960 == 19795776960 |
| 2 |
Correct |
38 ms |
84948 KB |
Output is correct - contestant found the optimal answer: 19874432173 == 19874432173 |
| 3 |
Correct |
1000 ms |
85476 KB |
Output is correct - contestant found the optimal answer: 497313449256899208 == 497313449256899208 |
| 4 |
Correct |
24 ms |
85476 KB |
Output is correct - contestant found the optimal answer: 374850090734572421 == 374850090734572421 |
| 5 |
Correct |
1247 ms |
85048 KB |
Output is correct - contestant found the optimal answer: 36183271951 == 36183271951 |
| 6 |
Correct |
866 ms |
84540 KB |
Output is correct - contestant found the optimal answer: 51629847150471 == 51629847150471 |
| 7 |
Correct |
891 ms |
85476 KB |
Output is correct - contestant found the optimal answer: 124074747024496432 == 124074747024496432 |
| 8 |
Correct |
686 ms |
85484 KB |
Output is correct - contestant found the optimal answer: 309959349080800 == 309959349080800 |
| 9 |
Correct |
777 ms |
85196 KB |
Output is correct - contestant found the optimal answer: 124113525649823701 == 124113525649823701 |
| 10 |
Correct |
981 ms |
85200 KB |
Output is correct - contestant found the optimal answer: 124309619349406845 == 124309619349406845 |
