#include<iostream>
#include<algorithm>
#define DIM 100005
#define x first
#define y second
#define ll long long
using namespace std;
int n, i, m;
int h[DIM], w[DIM], a[DIM];
pair<ll, ll> aint[4 * DIM], p[DIM];
long long sum, d[DIM];
long long calc(pair<ll, ll> p, int i){
return p.x * 1LL * i + p.y;
}
void build(int nod, int st, int dr){
aint[nod] = p[1];
if(st != dr){
int mid = (st + dr) / 2;
build(2 * nod, st, mid);
build(2 * nod + 1, mid + 1, dr);
}
}
void update(int nod, int st, int dr, pair<ll, ll> p){
int mid = (st + dr) / 2;
if( calc(aint[nod], a[mid]) > calc(p, a[mid]) ){
swap(aint[nod], p);
}
if(st != dr){
if( calc(aint[nod], a[st]) < calc(p, a[st]) ){
update(2 * nod + 1, mid + 1, dr, p);
}
else{
update(2 * nod, st, mid, p);
}
}
}
long long query(int nod, int st, int dr, int p){
if(st == dr){
return calc(aint[nod], p);
}
else{
int mid = (st + dr) / 2;
long long x;
if(p <= a[mid]){
x = query(2 * nod, st, mid, p);
}
else{
x = query(2 * nod + 1, mid + 1, dr, p);
}
return min(x, calc(aint[nod], p) );
}
}
int main(){
cin>> n;
for(i = 1; i <= n; i++){
cin>> h[i];
a[i] = h[i];
}
sort(a + 1, a + n + 1);
for(i = 1; i <= n; i++){
cin>> w[i];
m = max(m, h[i]);
sum += w[i];
p[i].y = h[i] * 1LL * h[i] - w[i];
p[i].x = -2 * h[i];
}
build(1, 1, n);
for(i = 2; i <= n; i++){
d[i] = query(1, 1, n, h[i]) - w[i] + h[i] * 1LL * h[i];
p[i].y = d[i] + h[i] * 1LL * h[i];
update(1, 1, n, p[i]);
}
cout<< d[n] + sum;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
1 ms |
360 KB |
Output is correct |
3 |
Correct |
1 ms |
384 KB |
Output is correct |
4 |
Correct |
2 ms |
384 KB |
Output is correct |
5 |
Correct |
2 ms |
384 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
156 ms |
7928 KB |
Output is correct |
2 |
Correct |
173 ms |
8952 KB |
Output is correct |
3 |
Correct |
158 ms |
9208 KB |
Output is correct |
4 |
Correct |
145 ms |
8936 KB |
Output is correct |
5 |
Correct |
125 ms |
8824 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
1 ms |
360 KB |
Output is correct |
3 |
Correct |
1 ms |
384 KB |
Output is correct |
4 |
Correct |
2 ms |
384 KB |
Output is correct |
5 |
Correct |
2 ms |
384 KB |
Output is correct |
6 |
Correct |
156 ms |
7928 KB |
Output is correct |
7 |
Correct |
173 ms |
8952 KB |
Output is correct |
8 |
Correct |
158 ms |
9208 KB |
Output is correct |
9 |
Correct |
145 ms |
8936 KB |
Output is correct |
10 |
Correct |
125 ms |
8824 KB |
Output is correct |
11 |
Correct |
174 ms |
9100 KB |
Output is correct |
12 |
Correct |
159 ms |
9080 KB |
Output is correct |
13 |
Correct |
153 ms |
9080 KB |
Output is correct |
14 |
Correct |
170 ms |
9164 KB |
Output is correct |
15 |
Correct |
118 ms |
8824 KB |
Output is correct |
16 |
Correct |
121 ms |
8824 KB |
Output is correct |
17 |
Correct |
123 ms |
9040 KB |
Output is correct |
18 |
Correct |
124 ms |
9084 KB |
Output is correct |