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>
#define int long long
using namespace std;
const int nmax = 1e5;
const int hmax = 1e6;
const int oo = INT_MAX;
int n;
int h[nmax + 5], w[nmax + 5];
int sp[nmax + 5];
int dp[nmax + 5];
vector<pair<int,int>> vf;
int get_val(pair<int,int> f, int x)
{
if(f.first==oo)
{
return oo;
}
return f.first * x + f.second;
}
int query(int poz, int nod, int st, int dr)
{
int rez = oo;
for(auto it : vf)
{
rez = min(rez, get_val(it,poz));
}
return rez;
}
void update(pair<int,int> f, int nod, int st, int dr)
{
vf.push_back(f);
}
signed main()
{
ios::sync_with_stdio(false);
cin.tie(0);
#ifdef home
freopen("nr.in","r",stdin);
freopen("nr.out","w",stdout);
#endif // home
cin>>n;
for(int i=1;i<=n;i++)
{
cin>>h[i];
}
for(int i=1;i<=n;i++)
{
cin>>w[i];
sp[i] = sp[i - 1] + w[i];
}
dp[1] = 0;
update({-2 * h[1],dp[1] + 1LL * h[1] * h[1] - sp[1]},1,1,hmax);
for(int i=2;i<=n;i++)
{
dp[i] = query(h[i],1,1,hmax) + 1LL * h[i] * h[i] + sp[i - 1];
update({-2 * h[i],dp[i] + 1LL * h[i] * h[i] - sp[i]},1,1,hmax);
}
cout<<dp[n]<<'\n';
return 0;
}
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