#include<bits/stdc++.h>
#define pii pair<int,int>
#define ll long long
using namespace std;
const int mxn=1e5+2;
vector<ll> m;
vector<ll> b;
vector<int> idx;
int ptr=0;
int path[mxn][202]={};
ll dp[mxn+10][2]={};
ll a[mxn+5]={};
ll s[mxn+5]={};
void print(int st,int k)
{
if(path[st][k]==0)
{
cout<<st<<" ";
return;
}
print(path[st][k],k-1);
cout<<st<<" ";
}
bool bad(int f1,int f2,int f3)
{
return (b[f3]-b[f1])*(m[f1]-m[f2])>=(b[f2]-b[f1])*(m[f1]-m[f3]);
}
void add(ll m_,ll b_,int id)
{
m.push_back(m_);
b.push_back(b_);
idx.push_back(id);
int sz=m.size();
while(sz>=3 && bad(sz-3,sz-2,sz-1))
{
m.erase(m.end()-2);
b.erase(b.end()-2);
idx.erase(idx.end()-2);
sz--;
}
}
ll func(int p,ll x)
{
return m[p]*x+b[p];
}
pair<ll,int> query(ll x)
{
if(ptr>=m.size())ptr=m.size()-1;
while(ptr+1<m.size() && func(ptr,x)<=func(ptr+1,x))ptr++;
return {func(ptr,x),idx[ptr]};
}
int main()
{
int n,k;
cin>>n>>k;
for(int i=1;i<=n;i++)
{
cin>>a[i];
s[i]=s[i-1]+a[i];
}
for(int i=1;i<=n;i++)
{
dp[i][1]=s[i]*(s[n]-s[i]);
path[i][1]=0;
//add(-s[i],dp[i][1]);
}
for(int i=2;i<=k;i++)
{
m.clear();
b.clear();
idx.clear();
int v=(i-1)%2;
ptr=0;
add(0,0,0);
for(int j=1;j<=n;j++)
{
if(j<i )
{
if(j==i-1)
add(-s[j],dp[j][v],j);
continue;
}
pair<ll,int> pd=query(s[n]-s[j]);
dp[j][v^1]=pd.first+s[n]*s[j]-s[j]*s[j];
path[j][i]=pd.second;
add(-s[j],dp[j][v],j);
}
}
ll mx=0,st=1;
for(int i=1;i<n;i++)
{
if(dp[i][k%2]>=mx)
{
mx=dp[i][k%2];
st=i;
}
}
cout<<mx<<endl;
print(st,k);
}
Compilation message
sequence.cpp: In function 'std::pair<long long int, int> query(long long int)':
sequence.cpp:60:8: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
if(ptr>=m.size())ptr=m.size()-1;
~~~^~~~~~~~~~
sequence.cpp:61:13: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
while(ptr+1<m.size() && func(ptr,x)<=func(ptr+1,x))ptr++;
~~~~~^~~~~~~~~
# |
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 |
376 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 |
376 KB |
contestant found the optimal answer: 4500000000 == 4500000000 |
6 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 1 == 1 |
7 |
Correct |
2 ms |
380 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 |
380 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 |
376 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 |
376 KB |
contestant found the optimal answer: 1005304678 == 1005304678 |
6 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 933702 == 933702 |
7 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 25082842857 == 25082842857 |
8 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 687136 == 687136 |
9 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 27295930079 == 27295930079 |
10 |
Correct |
2 ms |
376 KB |
contestant found the optimal answer: 29000419931 == 29000419931 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
504 KB |
contestant found the optimal answer: 610590000 == 610590000 |
2 |
Correct |
2 ms |
504 KB |
contestant found the optimal answer: 311760000 == 311760000 |
3 |
Correct |
3 ms |
504 KB |
contestant found the optimal answer: 1989216017013 == 1989216017013 |
4 |
Correct |
2 ms |
504 KB |
contestant found the optimal answer: 1499437552673 == 1499437552673 |
5 |
Correct |
3 ms |
504 KB |
contestant found the optimal answer: 1019625819 == 1019625819 |
6 |
Correct |
3 ms |
504 KB |
contestant found the optimal answer: 107630884 == 107630884 |
7 |
Correct |
3 ms |
504 KB |
contestant found the optimal answer: 475357671774 == 475357671774 |
8 |
Correct |
2 ms |
504 KB |
contestant found the optimal answer: 193556962 == 193556962 |
9 |
Correct |
2 ms |
504 KB |
contestant found the optimal answer: 482389919803 == 482389919803 |
10 |
Correct |
3 ms |
504 KB |
contestant found the optimal answer: 490686959791 == 490686959791 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
1148 KB |
contestant found the optimal answer: 21503404 == 21503404 |
2 |
Correct |
3 ms |
1144 KB |
contestant found the optimal answer: 140412195 == 140412195 |
3 |
Correct |
8 ms |
1144 KB |
contestant found the optimal answer: 49729674225461 == 49729674225461 |
4 |
Correct |
4 ms |
1144 KB |
contestant found the optimal answer: 37485571387523 == 37485571387523 |
5 |
Correct |
10 ms |
1144 KB |
contestant found the optimal answer: 679388326 == 679388326 |
6 |
Correct |
9 ms |
1144 KB |
contestant found the optimal answer: 4699030287 == 4699030287 |
7 |
Correct |
9 ms |
1144 KB |
contestant found the optimal answer: 12418819758185 == 12418819758185 |
8 |
Correct |
7 ms |
1148 KB |
contestant found the optimal answer: 31093317350 == 31093317350 |
9 |
Correct |
4 ms |
1144 KB |
contestant found the optimal answer: 12194625429236 == 12194625429236 |
10 |
Correct |
6 ms |
1144 KB |
contestant found the optimal answer: 12345131038664 == 12345131038664 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
13 ms |
8824 KB |
contestant found the optimal answer: 1818678304 == 1818678304 |
2 |
Correct |
12 ms |
8824 KB |
contestant found the optimal answer: 1326260195 == 1326260195 |
3 |
Correct |
86 ms |
9080 KB |
contestant found the optimal answer: 4973126687469639 == 4973126687469639 |
4 |
Correct |
14 ms |
8952 KB |
contestant found the optimal answer: 3748491676694116 == 3748491676694116 |
5 |
Correct |
63 ms |
8820 KB |
contestant found the optimal answer: 1085432199 == 1085432199 |
6 |
Correct |
76 ms |
8824 KB |
contestant found the optimal answer: 514790755404 == 514790755404 |
7 |
Correct |
72 ms |
9184 KB |
contestant found the optimal answer: 1256105310476641 == 1256105310476641 |
8 |
Correct |
53 ms |
8980 KB |
contestant found the optimal answer: 3099592898816 == 3099592898816 |
9 |
Correct |
67 ms |
9052 KB |
contestant found the optimal answer: 1241131419367412 == 1241131419367412 |
10 |
Correct |
80 ms |
8952 KB |
contestant found the optimal answer: 1243084101967798 == 1243084101967798 |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
106 ms |
84604 KB |
contestant found the optimal answer: 19795776960 == 19795776960 |
2 |
Correct |
107 ms |
84904 KB |
contestant found the optimal answer: 19874432173 == 19874432173 |
3 |
Correct |
912 ms |
85588 KB |
contestant found the optimal answer: 497313449256899208 == 497313449256899208 |
4 |
Correct |
137 ms |
85620 KB |
contestant found the optimal answer: 374850090734572421 == 374850090734572421 |
5 |
Correct |
1080 ms |
84972 KB |
contestant found the optimal answer: 36183271951 == 36183271951 |
6 |
Correct |
866 ms |
84852 KB |
contestant found the optimal answer: 51629847150471 == 51629847150471 |
7 |
Correct |
743 ms |
85620 KB |
contestant found the optimal answer: 124074747024496432 == 124074747024496432 |
8 |
Correct |
811 ms |
85368 KB |
contestant found the optimal answer: 309959349080800 == 309959349080800 |
9 |
Correct |
872 ms |
85412 KB |
contestant found the optimal answer: 124113525649823701 == 124113525649823701 |
10 |
Correct |
1018 ms |
85312 KB |
contestant found the optimal answer: 124309619349406845 == 124309619349406845 |