#include <bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define pu push_back
#define ll long long
typedef pair <long,long> ii;
const int N=1e6;
long long mod=1e9;
long n,m,k;
long a[N+1],g[N+10];
ll dp[N+1];
ii b[N+10];
struct Line {
mutable ll k, m, p;
bool operator<(const Line& o) const { return k > o.k; }
bool operator<(ll x) const { return p < x; }
};
struct Linecontain : multiset<Line, less<>> {
static const ll inf = LLONG_MAX;
ll div(ll a, ll b) {
return a / b - ((a ^ b) < 0 && a % b); }
bool isect(iterator x, iterator y) {
if (y == end()) return x->p = inf, 0;
if (x->k == y->k) x->p = x->m > y->m ? inf : -inf;
else x->p = div(y->m - x->m, x->k - y->k);
return x->p >= y->p;
}
void add(ll k, ll m) {
auto z = insert({k, m, 0}), y = z++, x = y;
while (isect(y, z)) z = erase(z);
if (x != begin() && isect(--x, y)) isect(x, y = erase(y));
while ((y = x) != begin() && (--x)->p >= y->p)
isect(x, erase(y));
}
ll query(ll x) {
assert(!empty());
auto l = *lower_bound(x);
return l.k * x + l.m;
}
};
Linecontain lc;
Line l[N+1],s[N+1],S[N+1];
double e[N+1];
void tinh(){
cin>>n;
for(long i=1;i<=n;i++) {cin>>b[i].fi;}
for(int i=1;i<=n;i++) cin>>b[i].se;
g[n+1]=0;
for(int i=n;i>=1;i--) {g[i]=g[i+1]+b[i].se;
}
k=1;
/*
6
3 8 7 1 6 6
0 -1 9 1 2 0
*/
l[1].m=b[1].fi*b[1].fi+g[2];
l[1].k=-2*b[1].fi;
lc.add(l[1].k,l[1].m);
dp[1]=0;
for(long i=2;i<=n;i++){
long A=-2*b[i].fi,B=0;
ll res=lc.query(b[i].fi)+b[i].fi*b[i].fi - g[i];
dp[i]=res;
B=dp[i]+g[i+1]+b[i].fi*b[i].fi;
lc.add(A,B);
//cout<<res<<"\n";
}
cout<<dp[n];
}
int main(){
//freopen("jday.inp","r",stdin);
//freopen("jday.out","w",stdout);
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
tinh();
return 0;
}
//code của anh Nam đẹp trai nhất CHL
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
344 KB |
Output is correct |
| 2 |
Correct |
0 ms |
344 KB |
Output is correct |
| 3 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
| 4 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
28 ms |
4672 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
344 KB |
Output is correct |
| 2 |
Correct |
0 ms |
344 KB |
Output is correct |
| 3 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
| 4 |
Halted |
0 ms |
0 KB |
- |
