#include <bits/stdc++.h>
using namespace std;
int n,i,j;
long long x,s[100001],h[100001],dp[100001];
pair <long long,long long> tree[20000001];
long long solve(long long x)
{
long long p=x+1-1024*1024,ret=100000000000000000;
while (x)
{
ret=min(ret,tree[x].first*p+tree[x].second);
x/=2;
}
return ret;
}
void add_line(long long a,long long b,int p,int l,int r)
{
long long x;
if ((r-l)==1)
{
x=r-1024*1024;
if (a*x+b<tree[l].first*x+tree[l].second)
tree[l]=make_pair(a,b);
return;
}
bool L=false,M=false;
l+=1-1024*1024;
r+=1-1024*1024;
long long mid=(r+l)/2;
if (a*l+b<tree[p].first*l+tree[l].second)
L=true;
if (a*mid+b<tree[p].first*mid+tree[l].second)
M=true;
l-=1-1024*1024;
r-=1-1024*1024;
mid=(l+r)/2;
if (M)
{
long long i=a,j=b;
a=tree[p].first;
b=tree[p].second;
tree[p]=make_pair(i,j);
}
if (L!=M)
add_line(a,b,p,l,mid);
if (L==M)
add_line(a,b,p,mid,r);
}
int main()
{
cin>>n;
for (i=1;i<=n;i++)
cin>>h[i];
for (i=1;i<=n;i++)
{
cin>>x;
s[i]=s[i-1]+x;
dp[i]=100000000000000000;
}
dp[1]=0;
for (i=1;i<(2048*1024);i++)
tree[i]=make_pair(-2*h[1],h[1]*h[1]-s[1]);
for (i=2;i<=n;i++)
{
dp[i]=s[i-1]+h[i]*h[i]+solve(h[i]+1024*1024-1);
add_line(-2*h[i],h[i]*h[i]+dp[i]-s[i],1,1024*1024,2048*1024);
}
cout<<dp[n]<<endl;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
30 ms |
33144 KB |
Output is correct |
2 |
Incorrect |
30 ms |
33268 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
111 ms |
35696 KB |
Output is correct |
2 |
Incorrect |
113 ms |
35776 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
30 ms |
33144 KB |
Output is correct |
2 |
Incorrect |
30 ms |
33268 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |