#include<bits/stdc++.h>
#pragma GCC optimize("-Ofast")
//#pragma GCC optimize("trapv")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,sse4.2,popcnt,abm,mmx,avx2,tune=native")
#pragma GCC optimize("-ffast-math")
#pragma GCC optimize("-funroll-loops")
#define I inline void
#define S struct
#define vi vector<int>
#define vii vector<pair<int,int>>
#define pii pair<int,int>
#define pll pair<ll,ll>
using namespace std ;
using ll = long long ;
using ld = long double ;
const int N = 2e5 + 7 , mod = 1e9 + 7 ;
const ll inf = 2e18 ;
// How interesting!
int n ;
ll ans[N];
ll h[N], w[N] ;
ll pref[N] ;
vector<pair<ll,ll> > cht ;
void add(ll x , ll b){
cht.push_back({x , b}) ;
}
ll get(ll x){
ll ret = 1e18 ;
for(auto u : cht)
ret = min(ret , u.first * x + u.second) ;
return ret ;
}
ll eval(int l, int r){
ll diff = h[r] - h[l] ;
return 1ll * diff * diff + pref[r - 1] - pref[l] ;
}
int main(){
ios_base::sync_with_stdio(0) ;
cin.tie(0) ;
//freopen("in.in" , "r" , stdin) ;
cin >> n;
for(int i = 1 ;i <= n ; ++ i){
cin >> h[i] ;
}
for(int i = 1 ; i <= n ; ++ i){
cin >> w[i] ;
pref[i] += w[i] ;
pref[i+1]+=pref[i] ;
}
for(int i = 2 ; i <= n; ++ i){
ll ret = eval(1 , i) ;
ll cost = 1ll * h[i] * h[i] + pref[i - 1] ;
ret = min(ret , get(h[i]) + cost ) ;
ans[i] = ret ;
add( -2ll * h[i] , 1ll * h[i] * h[i] - pref[i] + ans[i] ) ;
}
cout<<ans[n] ;
return 0 ;
}
/*
- bounds sir (segtree = 4N, eulerTour = 2N, ...)
- a variable defined twice?
- will overflow?
- is it a good complexity?
- don't mess up indices (0-indexed vs 1-indexed)
- reset everything between testcases.
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
1 ms |
384 KB |
Output is correct |
3 |
Correct |
1 ms |
384 KB |
Output is correct |
4 |
Correct |
1 ms |
384 KB |
Output is correct |
5 |
Correct |
1 ms |
384 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Execution timed out |
3081 ms |
6708 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
1 ms |
384 KB |
Output is correct |
3 |
Correct |
1 ms |
384 KB |
Output is correct |
4 |
Correct |
1 ms |
384 KB |
Output is correct |
5 |
Correct |
1 ms |
384 KB |
Output is correct |
6 |
Execution timed out |
3081 ms |
6708 KB |
Time limit exceeded |
7 |
Halted |
0 ms |
0 KB |
- |