#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
#define int long long
struct {
struct line{
int K;
ll B;
line(int k,ll b){
K=k,B=b;
}
line(){
K=0;
B=1e18;
}
inline ll operator()(int x){
return K*x+B;
}
} T[1<<21];
void update(int i,int l,int r,line s){
if(T[i].B==1e18) return void(T[i]=s);
if(l==r-1){
if(s(l)<T[i](l))
swap(s,T[i]);
return;
}
if(s.K<T[i].K)
swap(s,T[i]);
int mid=l+r>>1;
if(s(mid) < T[i](mid))
swap(s,T[i]),update(i*2+1,mid,r,s);
else update(i*2,l,mid,s);
}
ll query(int i,int l,int r,int p){
if(T[i].B==1e18)
return 1e18;
if(l==r-1)
return T[i](p);
if(p<l+r>>1)
return min(T[i](p),query(i*2,l,l+r>>1,p));
else return min(T[i](p),query(i*2+1,l+r>>1,r,p));
}
void add_line(int k,ll b){
update(1,-1,1e6+1,line(k,b));
}
ll calc_best(int pos){
return query(1,-1,1e6+1,pos);
}
} lichao;
ll h[100100],w[100100],dp[100100];
void update_dp(int i){
lichao.add_line(-2*h[i],h[i]*h[i]-w[i]+dp[i]);
}
signed main(){
cin.tie(0)->sync_with_stdio(0);
int n;
cin>>n;
for(int i=1;i<=n;i++)
cin>>h[i];
for(int i=1;i<=n;i++)
cin>>w[i];
for(int i=2;i<=n;i++){
update_dp(i-1);
w[i]+=w[i-1];
dp[i]=lichao.calc_best(h[i])+h[i]*h[i]+w[i-1];
}
cout<<dp[n]<<'\n';
}
Compilation message
building.cpp: In member function 'void<unnamed struct>::update(long long int, long long int, long long int, <unnamed struct>::line)':
building.cpp:29:18: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
29 | int mid=l+r>>1;
| ~^~
building.cpp: In member function 'll<unnamed struct>::query(long long int, long long int, long long int, long long int)':
building.cpp:39:15: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
39 | if(p<l+r>>1)
| ~^~
building.cpp:40:45: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
40 | return min(T[i](p),query(i*2,l,l+r>>1,p));
| ~^~
building.cpp:41:46: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
41 | else return min(T[i](p),query(i*2+1,l+r>>1,r,p));
| ~^~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
14 ms |
33116 KB |
Output is correct |
2 |
Correct |
14 ms |
33116 KB |
Output is correct |
3 |
Correct |
14 ms |
33140 KB |
Output is correct |
4 |
Correct |
14 ms |
33116 KB |
Output is correct |
5 |
Correct |
14 ms |
33328 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
55 ms |
36180 KB |
Output is correct |
2 |
Correct |
47 ms |
36232 KB |
Output is correct |
3 |
Correct |
44 ms |
36176 KB |
Output is correct |
4 |
Correct |
42 ms |
36180 KB |
Output is correct |
5 |
Correct |
34 ms |
36324 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
14 ms |
33116 KB |
Output is correct |
2 |
Correct |
14 ms |
33116 KB |
Output is correct |
3 |
Correct |
14 ms |
33140 KB |
Output is correct |
4 |
Correct |
14 ms |
33116 KB |
Output is correct |
5 |
Correct |
14 ms |
33328 KB |
Output is correct |
6 |
Correct |
55 ms |
36180 KB |
Output is correct |
7 |
Correct |
47 ms |
36232 KB |
Output is correct |
8 |
Correct |
44 ms |
36176 KB |
Output is correct |
9 |
Correct |
42 ms |
36180 KB |
Output is correct |
10 |
Correct |
34 ms |
36324 KB |
Output is correct |
11 |
Correct |
50 ms |
36176 KB |
Output is correct |
12 |
Correct |
48 ms |
36176 KB |
Output is correct |
13 |
Correct |
45 ms |
36180 KB |
Output is correct |
14 |
Correct |
51 ms |
36180 KB |
Output is correct |
15 |
Correct |
37 ms |
36180 KB |
Output is correct |
16 |
Correct |
39 ms |
36356 KB |
Output is correct |
17 |
Correct |
37 ms |
36436 KB |
Output is correct |
18 |
Correct |
34 ms |
36176 KB |
Output is correct |