#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];
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 ;
}
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 ;
}
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,0,1e6,-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,0,1e6,-2*H[i],H[i]*H[i]+dp[i]-sum[i]);
//cout<<dp[i]<<endl;
}
cout<<dp[n]<<endl;
}
/*
6
3 8 7 1 6 6
0 -1 9 1 2 0
*/
Compilation message
building.cpp:102:6: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
main()
^
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
376 KB |
Output is correct |
3 |
Correct |
2 ms |
408 KB |
Output is correct |
4 |
Correct |
3 ms |
612 KB |
Output is correct |
5 |
Incorrect |
2 ms |
612 KB |
Output isn't correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
67 ms |
3976 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
376 KB |
Output is correct |
3 |
Correct |
2 ms |
408 KB |
Output is correct |
4 |
Correct |
3 ms |
612 KB |
Output is correct |
5 |
Incorrect |
2 ms |
612 KB |
Output isn't correct |