#include <bits/stdc++.h>
using namespace std;
typedef pair<long long,int> pll;
long long s[100100],dp[100100][2];
int n,k,rev[100100][210];
class line
{
public:
long long a,b;
bool operator == (const line& rhs) const
{
return (a==rhs.a)&&(b==rhs.b);
}
};
double cross(line l1, line l2)
{
return (double) (l1.b-l2.b)/(l2.a-l1.a);
}
class convexhulltrick
{
public:
int s,e,ind[100100];
line deq[100100];
void insert(line l,int in)
{
if(deq[e-1]==l)
{
ind[e-1] = in;
return;
}
ind[e] = in;
deq[e] = l;
while(s+1<e&&cross(deq[e-2],deq[e-1])>=cross(deq[e-1],deq[e]))
{
deq[e-1] = deq[e];
ind[e-1] = ind[e];
e--;
}
e++;
}
pll query(long long x)
{
long long l = s,r = e-1;
while(l!=r)
{
long long m = (l+r)/2;
if(cross(deq[m],deq[m+1])<=x)
l = m+1;
else r = m;
}
return {deq[l].a*x+deq[l].b,ind[l]};
}
void init()
{
s=e=0;
}
};
convexhulltrick cht;
int main()
{
ios::sync_with_stdio(false);
cin.tie(NULL);
cin>>n>>k;
for(int i=1;i<=n;i++)
cin>>s[i];
for(int i=1;i<=n;i++)
s[i] += s[i-1];
for(int i=0;i<k;i++)
{
cht.init();
int ind = (i+1)%2;
dp[0][ind] = -1000000000000;
line tmp;
tmp.a = 0;
tmp.b = -1000000000000;
cht.insert(tmp,0);
for(int j=1;j<=n;j++)
{
pll hamin = cht.query(s[j]);
dp[j][ind] = hamin.first;
rev[j][i] = hamin.second;
line tmp;
tmp.a = s[j];
tmp.b = dp[j][1-ind]-s[j]*s[j];
cht.insert(tmp,j);
}
}
long long last = n;
cout<<dp[n][k%2]<<"\n";
for(int i=0;i<k;i++)
{
last = rev[last][k-i-1];
cout<<last<<" ";
}
}
Compilation message
sequence.cpp: In function 'int main()':
sequence.cpp:26:23: warning: array subscript is below array bounds [-Warray-bounds]
if(deq[e-1]==l)
~~~~~~~^
sequence.cpp:26:23: warning: array subscript is below array bounds [-Warray-bounds]
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
384 KB |
contestant found the optimal answer: 108 == 108 |
2 |
Correct |
0 ms |
384 KB |
contestant found the optimal answer: 999 == 999 |
3 |
Correct |
1 ms |
384 KB |
contestant found the optimal answer: 0 == 0 |
4 |
Correct |
1 ms |
384 KB |
contestant found the optimal answer: 1542524 == 1542524 |
5 |
Correct |
0 ms |
384 KB |
contestant found the optimal answer: 4500000000 == 4500000000 |
6 |
Correct |
0 ms |
384 KB |
contestant found the optimal answer: 1 == 1 |
7 |
Correct |
0 ms |
384 KB |
contestant found the optimal answer: 1 == 1 |
8 |
Correct |
0 ms |
384 KB |
contestant found the optimal answer: 1 == 1 |
9 |
Correct |
0 ms |
384 KB |
contestant found the optimal answer: 100400096 == 100400096 |
10 |
Correct |
1 ms |
384 KB |
contestant found the optimal answer: 900320000 == 900320000 |
11 |
Correct |
1 ms |
384 KB |
contestant found the optimal answer: 3698080248 == 3698080248 |
12 |
Correct |
0 ms |
384 KB |
contestant found the optimal answer: 3200320000 == 3200320000 |
13 |
Correct |
0 ms |
384 KB |
contestant found the optimal answer: 140072 == 140072 |
14 |
Correct |
0 ms |
384 KB |
contestant found the optimal answer: 376041456 == 376041456 |
15 |
Correct |
0 ms |
384 KB |
contestant found the optimal answer: 805 == 805 |
16 |
Correct |
0 ms |
384 KB |
contestant found the optimal answer: 900189994 == 900189994 |
17 |
Correct |
1 ms |
384 KB |
contestant found the optimal answer: 999919994 == 999919994 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
384 KB |
contestant found the optimal answer: 1093956 == 1093956 |
2 |
Correct |
0 ms |
384 KB |
contestant found the optimal answer: 302460000 == 302460000 |
3 |
Correct |
1 ms |
384 KB |
contestant found the optimal answer: 122453454361 == 122453454361 |
4 |
Correct |
0 ms |
384 KB |
contestant found the optimal answer: 93663683509 == 93663683509 |
5 |
Correct |
0 ms |
384 KB |
contestant found the optimal answer: 1005304678 == 1005304678 |
6 |
Correct |
1 ms |
384 KB |
contestant found the optimal answer: 933702 == 933702 |
7 |
Correct |
0 ms |
384 KB |
contestant found the optimal answer: 25082842857 == 25082842857 |
8 |
Correct |
1 ms |
384 KB |
contestant found the optimal answer: 687136 == 687136 |
9 |
Correct |
1 ms |
384 KB |
contestant found the optimal answer: 27295930079 == 27295930079 |
10 |
Correct |
0 ms |
384 KB |
contestant found the optimal answer: 29000419931 == 29000419931 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
512 KB |
contestant found the optimal answer: 610590000 == 610590000 |
2 |
Correct |
0 ms |
512 KB |
contestant found the optimal answer: 311760000 == 311760000 |
3 |
Correct |
2 ms |
512 KB |
contestant found the optimal answer: 1989216017013 == 1989216017013 |
4 |
Correct |
1 ms |
512 KB |
contestant found the optimal answer: 1499437552673 == 1499437552673 |
5 |
Correct |
1 ms |
512 KB |
contestant found the optimal answer: 1019625819 == 1019625819 |
6 |
Correct |
2 ms |
512 KB |
contestant found the optimal answer: 107630884 == 107630884 |
7 |
Correct |
2 ms |
512 KB |
contestant found the optimal answer: 475357671774 == 475357671774 |
8 |
Correct |
1 ms |
512 KB |
contestant found the optimal answer: 193556962 == 193556962 |
9 |
Correct |
1 ms |
512 KB |
contestant found the optimal answer: 482389919803 == 482389919803 |
10 |
Correct |
1 ms |
512 KB |
contestant found the optimal answer: 490686959791 == 490686959791 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
1280 KB |
contestant found the optimal answer: 21503404 == 21503404 |
2 |
Correct |
1 ms |
1280 KB |
contestant found the optimal answer: 140412195 == 140412195 |
3 |
Correct |
10 ms |
1280 KB |
contestant found the optimal answer: 49729674225461 == 49729674225461 |
4 |
Correct |
1 ms |
1280 KB |
contestant found the optimal answer: 37485571387523 == 37485571387523 |
5 |
Correct |
10 ms |
1280 KB |
contestant found the optimal answer: 679388326 == 679388326 |
6 |
Correct |
10 ms |
1280 KB |
contestant found the optimal answer: 4699030287 == 4699030287 |
7 |
Correct |
11 ms |
1280 KB |
contestant found the optimal answer: 12418819758185 == 12418819758185 |
8 |
Correct |
10 ms |
1280 KB |
contestant found the optimal answer: 31093317350 == 31093317350 |
9 |
Correct |
3 ms |
1280 KB |
contestant found the optimal answer: 12194625429236 == 12194625429236 |
10 |
Correct |
5 ms |
1280 KB |
contestant found the optimal answer: 12345131038664 == 12345131038664 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
8960 KB |
contestant found the optimal answer: 1818678304 == 1818678304 |
2 |
Correct |
6 ms |
8960 KB |
contestant found the optimal answer: 1326260195 == 1326260195 |
3 |
Correct |
99 ms |
8960 KB |
contestant found the optimal answer: 4973126687469639 == 4973126687469639 |
4 |
Correct |
8 ms |
8960 KB |
contestant found the optimal answer: 3748491676694116 == 3748491676694116 |
5 |
Correct |
76 ms |
9080 KB |
contestant found the optimal answer: 1085432199 == 1085432199 |
6 |
Correct |
109 ms |
8960 KB |
contestant found the optimal answer: 514790755404 == 514790755404 |
7 |
Correct |
108 ms |
8960 KB |
contestant found the optimal answer: 1256105310476641 == 1256105310476641 |
8 |
Correct |
94 ms |
9068 KB |
contestant found the optimal answer: 3099592898816 == 3099592898816 |
9 |
Correct |
90 ms |
8960 KB |
contestant found the optimal answer: 1241131419367412 == 1241131419367412 |
10 |
Correct |
113 ms |
8960 KB |
contestant found the optimal answer: 1243084101967798 == 1243084101967798 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
68 ms |
86500 KB |
contestant found the optimal answer: 19795776960 == 19795776960 |
2 |
Correct |
64 ms |
86392 KB |
contestant found the optimal answer: 19874432173 == 19874432173 |
3 |
Correct |
1249 ms |
87416 KB |
contestant found the optimal answer: 497313449256899208 == 497313449256899208 |
4 |
Correct |
64 ms |
87288 KB |
contestant found the optimal answer: 374850090734572421 == 374850090734572421 |
5 |
Correct |
1483 ms |
86708 KB |
contestant found the optimal answer: 36183271951 == 36183271951 |
6 |
Correct |
1315 ms |
86720 KB |
contestant found the optimal answer: 51629847150471 == 51629847150471 |
7 |
Correct |
1201 ms |
87368 KB |
contestant found the optimal answer: 124074747024496432 == 124074747024496432 |
8 |
Correct |
1077 ms |
87288 KB |
contestant found the optimal answer: 309959349080800 == 309959349080800 |
9 |
Correct |
1043 ms |
87160 KB |
contestant found the optimal answer: 124113525649823701 == 124113525649823701 |
10 |
Correct |
1244 ms |
87052 KB |
contestant found the optimal answer: 124309619349406845 == 124309619349406845 |