#include <bits/stdc++.h>
using namespace std;
#define int long long
#define pb push_back
#define fr first
#define sc second
const long long INF=1e17,N=2e5+6;
int h[N],c[N];
int f(int l, int r){
int val=(h[r]-h[l])*(h[r]-h[l]);
for(int i=l+1;i<r;i++)
val+=c[i];
int res=val;
vector<int> md;
int sum=res-(h[r]-h[l])*(h[r]-h[l]);
for(int i=l+1;i<r;i++){
int tmp=(sum-c[i]+(h[l]-h[i])*(h[l]-h[i])+
(h[r]-h[i])*(h[r]-h[i]));
if(tmp<res){
res=tmp;
md.clear();
md.pb(i);
}
else if(tmp==res){
md.pb(i);
}
}
if(md.size()==0) return res;
for(auto it: md){
res=min(res,f(l,it)+f(it,r));
}
return res;
}
void solve(){
int n;cin>>n;
for(int i=1;i<=n;i++)
cin>>h[i];
for(int i=1;i<=n;i++)
cin>>c[i];
vector<int> dp(n+1,INF);
dp[1]=0;
for(int i=2;i<=n;i++){
int k=0;
for(int j=i-1;j>=1;j--){
dp[i]=min(dp[i],dp[j]+k+(h[j]-h[i])*(h[j]-h[i]));
k+=c[j];
}
}
cout<<dp[n]<<endl;
/*for(int i=1;i<=n;i++)
cout<<dp[i]<<' ';
cout<<endl;*/
cerr<<f(1,n);
}
main(){
int T=1;
//cin>>T;
while(T--){
solve();
}
}
/*
6
3 8 7 1 6 6
0 -1 9 1 2 0
*/
Compilation message
building.cpp:56:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
56 | main(){
| ^~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
2 ms |
2396 KB |
Output is correct |
5 |
Correct |
2 ms |
2396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
3047 ms |
3796 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
2396 KB |
Output is correct |
2 |
Correct |
1 ms |
2396 KB |
Output is correct |
3 |
Correct |
1 ms |
2396 KB |
Output is correct |
4 |
Correct |
2 ms |
2396 KB |
Output is correct |
5 |
Correct |
2 ms |
2396 KB |
Output is correct |
6 |
Execution timed out |
3047 ms |
3796 KB |
Time limit exceeded |
7 |
Halted |
0 ms |
0 KB |
- |