#include<bits/stdc++.h>
#define F first
#define S second
#define PB push_back
#define MP make_pair
#define mod 1000000007
#define ll long long
using namespace std;
ll n, m, k, x, y, a, b, t, q, ans;
ll W[500001],H[500001],dp[500001],sum[500001],DP[500001];
struct tree{
tree* L;
tree* R;
ll k,b;
tree(){
k=b=0LL;
L=R=NULL;
}
};
tree* root=new tree();
double cross(double k,double b,double K,double B){
return (b-B)/(K-k);
}
void update(tree* node,ll l,ll r,ll K,ll B){
ll K1=node->k;
ll B1=node->b;
if(K1==0 && B1==0){
node->k=K;
node->b=B;
return ;
}
double x=cross(K1,B1,K,B);
ll y=x-10;
bool ok=( y*K+B < y*K1+B1 );
if(ok){
if(x<l)return;
if(x>r){
node->k=K;
node->b=B;
return ;
}
if(l==r)return ;
ll mid=(l+r)/2;
if(x<=mid) {
if(node->L == NULL)
node->L = new tree();
update(node->L,l,mid,K,B);
} else
if(x>mid) {
if(node->R == NULL)
node->R = new tree();
node->k=K;
node->b=B;
update(node->R,mid+1,r,K1,B1);
}
} else {
if(x>r)return;
if(x<l){
node->k=K;
node->b=B;
return ;
}
if(l==r)return ;
ll mid=(l+r)/2;
if(x>mid) {
if(node->R == NULL)
node->R = new tree();
update(node->R,mid+1,r,K,B);
} else
if(x<=mid) {
if(node->L == NULL)
node->L = new tree();
node->k=K;
node->b=B;
update(node->L,l,mid,K1,B1);
}
}
}
ll get(tree* node,ll l,ll r,ll x){
if(l==r)
return node->k*x+node->b;
ll mid=(l+r)/2;
if(x<=mid){
if(node->L==NULL)
return node->k*x+node->b;
else{
ll y=get(node->L,l,mid,x);
return min(y,node->k*x+node->b);
}
} else {
if(node->R==NULL)
return node->k*x+node->b;
else{
ll y=get(node->R,mid+1,r,x);
return min(y,node->k*x+node->b);
}
}
}
main()
{
ios::sync_with_stdio(0);
cin>>n;
for(int i=1;i<=n;i++)
cin>>H[i];
for(int i=1;i<=n;i++)
cin>>W[i],sum[i]=sum[i-1]+W[i];
update(root,0,1e10,-2*H[1],H[1]*H[1]-sum[1]);
for(int i=2;i<=n;i++){
dp[i]=H[i]*H[i]+sum[i-1]+get(root,0,1e6,H[i]);
//cout<<get(root,0,1e6,H[i])<<" ";
update(root,0,1e10,-2*H[i],H[i]*H[i]+dp[i]-sum[i]);
//cout<<dp[i]<<endl;
}
/*for(int i=2;i<=n;i++){
DP[i]=1e18;
for(int j=1;j<i;j++){
DP[i]=min(DP[i],H[i]*H[i]+sum[i-1]-2*H[i]*H[j]+H[j]*H[j]+DP[j]-sum[j]);
}
}
for(int i=1;i<=n;i++)
cout<<DP[i]<<" "<<dp[i]<<endl;
*/
cout<<dp[n]<<endl;
}
/*
6
3 8 7 1 6 6
0 -1 9 1 2 0
20
587 7874 8557 8774 4337 4840 753 8130 8169 8291 1265 2647 7412 7414 7784 3118 4177 5906 6764 7214
587 7874 8557 8774 4337 4840 753 8130 8169 8291 1265 2647 7412 7414 7784 3118 4177 5906 6764 7214
*/
Compilation message
building.cpp:102:6: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
main()
^
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Incorrect |
2 ms |
380 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
59 ms |
4008 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Incorrect |
2 ms |
380 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |