/*DavitMarg*/
#include <iostream>
#include <algorithm>
#include <cmath>
#include <vector>
#include <string>
#include <cstring>
#include <map>
#include <set>
#include <queue>
#include <iomanip>
#include <stack>
#include <cassert>
#include <iterator>
#include <bitset>
#include <fstream>
#define mod 1000000007ll
#define LL long long
#define LD long double
#define MP make_pair
#define PB push_back
#define all(v) v.begin(),v.end()
using namespace std;
struct line
{
LL k,b;
line(LL K=0,LL B=0)
{
k=K;
b=B;
}
};
LL F(line p,LL x)
{
return p.k*x+p.b;
}
int n;
LL h[100005],pr[100005],dp[100005];
line t[4*1000006];
void build(int v,int l,int r)
{
t[v]=line(-mod,-mod*mod);
int m=(l+r)>>1;
if(l==r)
return;
build(v*2,l,m);
build(v*2+1,m+1,r);
}
void add(int v,LL l,LL r,line p)
{
LL m=(l+r)>>1;
bool L,M;
L=(F(p,l)>F(t[v],l));
M=(F(p,m)>F(t[v],m));
if(M)
swap(p,t[v]);
if(l==r)
return;
else if(L!=M)
add(v*2,l,m,p);
else
add(v*2+1,m+1,r,p);
}
LL get(int v,LL l,LL r,LL x)
{
if(l==r)
return F(t[v],x);
LL m=(l+r)/2;
if(x<=m)
return max(F(t[v],x),get(v*2,l,m,x));
else
return max(F(t[v],x),get(v*2+1,m+1,r,x));
}
int main()
{
cin>>n;
for(int i=1;i<=n;i++)
scanf("%lld",h+i);
for(int i=1;i<=n;i++)
{
scanf("%lld",pr+i);
pr[i]+=pr[i-1];
}
build(1,0,1000000);
add(1,0,1000000,line(2*h[1],pr[1]-h[1]*h[1]));
for(int i=2;i<=n;i++)
{
dp[i]=h[i]*h[i]+pr[i-1]-get(1,0,1000000,h[i]);
add(1,0,1000000,line(2*h[i],pr[i]-dp[i]-h[i]*h[i]));
}
cout<<dp[n]<<endl;
return 0;
}
/*
6
3 8 7 1 6 6
0 -1 9 1 2 0
*/
Compilation message
building.cpp: In function 'int main()':
building.cpp:85:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%lld",h+i);
~~~~~^~~~~~~~~~~~
building.cpp:88:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%lld",pr+i);
~~~~~^~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
73 ms |
62968 KB |
Output is correct |
2 |
Correct |
61 ms |
62968 KB |
Output is correct |
3 |
Correct |
61 ms |
62968 KB |
Output is correct |
4 |
Correct |
62 ms |
62988 KB |
Output is correct |
5 |
Correct |
62 ms |
62968 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
120 ms |
66296 KB |
Output is correct |
2 |
Correct |
119 ms |
66424 KB |
Output is correct |
3 |
Correct |
119 ms |
66296 KB |
Output is correct |
4 |
Correct |
117 ms |
66200 KB |
Output is correct |
5 |
Correct |
113 ms |
66272 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
73 ms |
62968 KB |
Output is correct |
2 |
Correct |
61 ms |
62968 KB |
Output is correct |
3 |
Correct |
61 ms |
62968 KB |
Output is correct |
4 |
Correct |
62 ms |
62988 KB |
Output is correct |
5 |
Correct |
62 ms |
62968 KB |
Output is correct |
6 |
Correct |
120 ms |
66296 KB |
Output is correct |
7 |
Correct |
119 ms |
66424 KB |
Output is correct |
8 |
Correct |
119 ms |
66296 KB |
Output is correct |
9 |
Correct |
117 ms |
66200 KB |
Output is correct |
10 |
Correct |
113 ms |
66272 KB |
Output is correct |
11 |
Correct |
130 ms |
66460 KB |
Output is correct |
12 |
Correct |
130 ms |
66296 KB |
Output is correct |
13 |
Correct |
117 ms |
66472 KB |
Output is correct |
14 |
Correct |
127 ms |
66424 KB |
Output is correct |
15 |
Correct |
115 ms |
66356 KB |
Output is correct |
16 |
Correct |
116 ms |
66296 KB |
Output is correct |
17 |
Correct |
102 ms |
66424 KB |
Output is correct |
18 |
Correct |
103 ms |
66540 KB |
Output is correct |