This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#include "aliens.h"
using namespace std;
using i64=long long;
const i64 INF=1e18;
#define bug(x) cerr<<#x<<x<<'\n';
#define all(yy) yy.begin(),yy.end()
#define pb push_back
const int inf=1e9;
struct duo
{
int l,r;
bool operator <(const duo&b)const
{
if(l==b.l)
{
return r>b.r;
}
return l<b.l;
}
};
////////////////////////////GEOMETRY
////////////////////////////////////
struct line
{
i64 a,b;
i64 calculate(int x)
{
return a*x+b;
}
};
i64 intersect(const line& c,const line& d)
{
return (d.b-c.b+c.a-d.a-1)/(c.a-d.a);
}
struct CHT
{
deque<line>d;
void add(const line e)
{
while(d.size()>=2 && intersect(d[d.size()-2],d.back())>=intersect(d.back(),e))
{
d.pop_back();
}
d.pb(e);
}
i64 query(int val)
{
while(d.size()>=2 && d[0].calculate(val)>=d[1].calculate(val))
{
d.pop_front();
}
return d[0].calculate(val);
}
void clear()
{
d.clear();
}
};
i64 pow2(i64 x)
{
return x*x;
}
/////////////////////////////////////////////////////
/////////////////////////////////////////////////////
i64 take_photos(int n, int m, int k, vector<int> rr, vector<int> cc)
{
vector<duo>a(n);
for(int i=0;i<n;i++)
{
a[i]={min(rr[i],cc[i]),max(rr[i],cc[i])};
}
vector<duo>aux=a;
a.clear();
sort(all(aux));
int maxx=-1;
for(auto &c:aux)
{
if(c.r>maxx)
{
a.pb(c);
maxx=c.r;
}
}
aux.clear();
n=(int)a.size();
vector<i64>dp(n,INF);
for(int _=0;_<k;_++)
{
//CHT cht;
//cht.add({-2*(a[0].l-1),pow2(a[0].l-1)});
/*for(int i=0;i<n;i++)
{
i64 sol=pow2(a[i].r)+cht.query(a[i].r);
if(i!=n-1)
{
cht.add({-2*(a[i+1].l-1) , pow2(a[i+1].l-1)+pow2(max(0,a[i].r-a[i+1].l+1))+dp[i]});
}
dp[i]=sol;
}*/
for(int i=n-1;i>=_;i--)
{
dp[i]=pow2(a[i].r-a[0].l+1);
for(int j=i-1;j>=0;j--)
{
dp[i]=min(dp[i],pow2(a[i].r)-2*(a[j+1].l-1)*a[i].r+pow2(a[j+1].l-1)+pow2(max(0,a[j].r-a[j+1].l+1))+dp[j]);
}
}
}
return dp[n-1];
}
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