#include<bits/stdc++.h>
using namespace std;
#define all(x) begin(x),end(x)
#define sz(x) int(x.size())
#define forn(i,n) for(int i=0;i<int(n);i++)
using vi=vector<int>;
using ll=long long;
using ld=long double;
using ii=pair<ll,ll>;
#define fst first
#define snd second
struct Line {
ll m,b,k;
ll operator()(ll x) {
return m*x+b;
}
ld intersectX(Line &o) {
return ld(b-o.b)/(o.m-m);
}
};
struct LineContainer:deque<Line>{
void add(ll m, ll b, ll k){
Line l=Line{m,b,k};
while(size()>=2&&l.intersectX(begin()[0])<=l.intersectX(begin()[1])) pop_front();
push_front(l);
}
pair<ll,int> query(ll x){
while(size()>=2&&end()[-1](x)>=end()[-2](x)) pop_back();
return {end()[-1](x),end()[-1].k};
}
};
vector<ii> p;
ll sq(ll x){
return x*x;
}
ii check(ll lmd){
LineContainer dp;
ll res=0,cnt=0;
forn(i,sz(p)){
ll m=-2LL*(p[i].snd-1LL);
ll b=res+sq(p[i].snd-1LL);
if(i) b-=sq(max(p[i-1].fst-p[i].snd+1LL,0LL));
dp.add(m,b,cnt);
tie(res,cnt)=dp.query(p[i].fst);
res+=sq(p[i].fst)+lmd,cnt++;
}
return {res,cnt};
}
ll take_photos(int n, int /*m*/, int k, vi r, vi c){
vector<ii> v(n);
forn(i,n){
if(r[i]>c[i]) v[i]={r[i],c[i]};
else v[i]={c[i],r[i]};
}
sort(all(v),[](const ii &a, ii &b){
if(a.fst==b.fst) return a.snd>b.snd;
return a.fst<b.fst;
});
forn(i,n){
while(!p.empty()&&p.back().snd>=v[i].snd) p.pop_back();
p.push_back(v[i]);
}
k=min(k,sz(p));
ll lo=0, hi=1e12;
while(hi-lo>1){
ll mid=(hi-lo)/2+lo;
if(check(mid).snd<=k) hi=mid;
else lo=mid;
}
return check(hi).fst-k*hi;
}
