This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma comment(linker, "/stack:200000000")
#pragma GCC optimize("Ofast")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,avx,avx2")
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define mp make_pair
const int N=100050;
const int K=205;
const ll inf=1e18;
struct Line{ ll k,n;int id;Line(ll a=0, ll b=0, int c=0):k(a),n(b),id(c){}pair<ll,int> Get(ll x){ return mp(k*x+n,id);}} Hull[N];
ll sec(Line a, Line b)
{
ll p=a.n-b.n,q=b.k-a.k;
if(q<0) p=-p,q=-q;
if(p>0) return (p+q-1)/q;
else return p/q;
}
int hsz,ptr=1;
void AddLine(Line l)
{
if(hsz>=ptr && Hull[hsz].k==l.k && Hull[hsz].n<l.n) hsz--;
if(hsz>=ptr && Hull[hsz].k==l.k) return;
while(hsz>ptr && sec(Hull[hsz-1],Hull[hsz])>=sec(Hull[hsz],l)) hsz--;
Hull[++hsz]=l;
}
pair<ll,int> Get(ll x){ while(ptr<hsz && Hull[ptr].Get(x)<Hull[ptr+1].Get(x)) ptr++;return Hull[ptr].Get(x);}
ll dp[N][2],sum[N];
int go[N][K];
void Solve(int k, int n)
{
hsz=0;ptr=1;
int c=k&1,p=c^1;
AddLine(Line(sum[k-1],dp[k-1][p]-sum[k-1]*sum[k-1],k-1));
for(int i=k;i<=n;i++)
{
tie(dp[i][c],go[i][k])=Get(sum[i]);
AddLine(Line(sum[i],dp[i][p]-sum[i]*sum[i],i));
}
}
int main()
{
int n,k;
scanf("%i %i",&n,&k);k++;
for(int i=1;i<=n;i++) scanf("%lld",&sum[i]),sum[i]+=sum[i-1],dp[i][0]=-inf;
for(int i=1;i<=k;i++) Solve(i,n);
printf("%lld\n",dp[n][k&1]);
vector<int> pos;
for(int i=n,j=k;i;i=go[i][j],j--) pos.push_back(i);
reverse(pos.begin(),pos.end());
pos.pop_back();
for(int i:pos) printf("%i ",i);
return 0;
}
Compilation message (stderr)
sequence.cpp:1:0: warning: ignoring #pragma comment [-Wunknown-pragmas]
#pragma comment(linker, "/stack:200000000")
sequence.cpp: In function 'int main()':
sequence.cpp:44:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%i %i",&n,&k);k++;
~~~~~^~~~~~~~~~~~~~~
sequence.cpp:45:62: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
for(int i=1;i<=n;i++) scanf("%lld",&sum[i]),sum[i]+=sum[i-1],dp[i][0]=-inf;
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~
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