#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef vector<ll> vi;
typedef pair<ll,ll> pi;
typedef vector<pi> vpi;
typedef long double ld;
#define pb emplace_back
#define mp make_pair
#define lb lower_bound
#define ub upper_bound
#define All(x) x.begin(), x.end()
#define SZ(x) (ll)x.size()
#define f first
#define s second
typedef ll ftype;
typedef complex<ftype> point;
#define x real
#define y imag
ftype dot (point a, point b){
return (conj(a)*b).x();
}
ftype f(point a, ftype x){
return dot(a, {x,1});
}
const ll MAXN = 1e6+10;
point line [4*MAXN];
int vis[4*MAXN];
void add_line(point nw, ll v=1, ll l=0, ll r=MAXN){
ll m=(l+r)/2;
bool lef = f(nw, l) < f(line[v], l);
bool mid = f(nw, m) < f(line[v], m);
if (mid){
swap(line[v], nw);
}
if (r-l == 1)return;
if (lef != mid)add_line(nw,2*v,l,m);
else add_line(nw, 2*v+1, m, r);
}
ll get(ll x, ll v=1, ll l=0, ll r=MAXN){
ll t = f(line[v], x);
if (line[v].x() == 0 && line[v].y() == 0)t = LONG_LONG_MAX;
// cout<<line[v].x()<<' '<<line[v].y()<<' '<<f(line[v],x)<<'\n';
ll m=(l+r)/2;
if (r-l == 1)return t;
if (x<m)return min(t, get(x, 2*v, l, m));
else return min(t, get(x,2*v+1,m,r));
}
ll N,H[MAXN], E[MAXN];
ll W;
ll dp[MAXN];
ll d[MAXN];
int main(){
cin>>N;
for (ll i=1;i<=N;++i)cin>>H[i];
for (ll i=1;i<=N;++i)cin>>E[i], W += E[i];
dp[1] = -E[1];
add_line({-2*H[1], dp[1] + H[1] * H[1]});
// cout<<dp[1] + H[1] * H[1]<<' '<<-2*H[1]<<'\n';
// return 0;
for (ll i=2;i<=N;++i){
dp[i] = H[i] * H[i] - E[i] + get(H[i]);
add_line({-2*H[i], H[i] * H[i] + dp[i]});
// return 0;
}
cout<<dp[N]+W;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
504 KB |
Output is correct |
3 |
Correct |
2 ms |
632 KB |
Output is correct |
4 |
Correct |
4 ms |
760 KB |
Output is correct |
5 |
Correct |
4 ms |
796 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
129 ms |
4348 KB |
Output is correct |
2 |
Correct |
127 ms |
4332 KB |
Output is correct |
3 |
Correct |
128 ms |
4316 KB |
Output is correct |
4 |
Correct |
120 ms |
4060 KB |
Output is correct |
5 |
Incorrect |
116 ms |
4272 KB |
Output isn't correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
504 KB |
Output is correct |
3 |
Correct |
2 ms |
632 KB |
Output is correct |
4 |
Correct |
4 ms |
760 KB |
Output is correct |
5 |
Correct |
4 ms |
796 KB |
Output is correct |
6 |
Correct |
129 ms |
4348 KB |
Output is correct |
7 |
Correct |
127 ms |
4332 KB |
Output is correct |
8 |
Correct |
128 ms |
4316 KB |
Output is correct |
9 |
Correct |
120 ms |
4060 KB |
Output is correct |
10 |
Incorrect |
116 ms |
4272 KB |
Output isn't correct |