#include <bits/stdc++.h>
using namespace std;
#define forw(i,a,b) for(ll i=a;i<=b;i++)
#define forb(i,a,b) for(ll i=a;i>=b;i--)
typedef long long int ll;
ll res,n,h[100005],w[100005],max1[100005],pre[100005],dp[100005];
void sub1()
{
for (int i=2;i<=n;i++)
{
max1[i]=1e18;
res=0;
for (int j=i-1;1;j--)
{
ll p=(h[i]-h[j])*(h[i]-h[j])+res+max1[j];
if (p<max1[i]) max1[i]=p;
res+=w[j];
}
}
cout<<max1[n];
}
void sub2()
{
ll ans=1e18;
forw(i,1,n) pre[i]=pre[i-1]+w[i];
ans=(h[n]-h[1])*(h[n]-h[1])+pre[n-1]-pre[1];
forw(i,2,n-1)
ans=min(ans,(h[i]-h[1])*(h[i]-h[1])+(h[i]-h[n])*(h[i]-h[n])+pre[i-1]-pre[1]+pre[n-1]-pre[i]);
map<int, set<int> > save;
//save[w[1]].insert(h[1]);
forb(i,n-1,2)
{
dp[i]=(h[n]-h[i])*(h[n]-h[i])+pre[n-1]-pre[i];
//cout<<dp[i]<<" "<<h[n]-h[i]<<" "<<pre[n-1]-pre[i]<<endl;
}
forw(i,2,n-1)
{
forw(j,-20,20)
if (save[j].size())
{
auto it =lower_bound(save[j].begin(),save[j].end(),(h[i]+h[1])/2);
if (it!=save[j].end())
{
//cout<<i<<" "<<j<<" "<<(h[i]-(*it))*(h[i]-(*it))<<" "<<pre[i-1]-j-pre[1]<<" "<<dp[i]<<" "<<(h[i]-(*it))*(h[i]-(*it))+pre[i]-j-pre[1]+dp[i]<<endl;
ans=min(ans,(h[i]-(*it))*(h[i]-(*it))+pre[i-1]-j-pre[1]+dp[i]+((*it)-h[1])*((*it)-h[1]));
}
it--;
if (it!=save[j].end())
{
//cout<<i<<" "<<j<<" "<<(h[i]-(*it))*(h[i]-(*it))<<" "<<pre[i-1]-j-pre[1]<<" "<<dp[i]<<" "<<(h[i]-(*it))*(h[i]-(*it))+pre[i]-j-pre[1]+dp[i]<<endl;
ans=min(ans,(h[i]-(*it))*(h[i]-(*it))+pre[i-1]-j-pre[1]+dp[i]+((*it)-h[1])*((*it)-h[1]));
}
}
save[w[i]].insert(h[i]);
}
cout<<ans<<endl;
}
int main()
{
//freopen("test.INP","r",stdin);
//freopen("test.OUT","w",stdout);
cin>>n;
for (int i=1;i<=n;i++)
cin>>h[i];
for (int i=1;i<=n;i++)
cin>>w[i];
if (n<=1000) sub1();
else sub2();
//sub2();
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
3065 ms |
204 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
3074 ms |
4268 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
3065 ms |
204 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |