이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define pii pair<int,int>
#define fi first
#define se second
#define mp make_pair
const int N = 1e5 + 5;
const int MAX = 1e6;
const int inf = 0x3f3f3f3f3f3f3f3f;
pii st[4 * MAX + 5];
int h[N],w[N],n;
int f(pii a,int x) {
return a.fi * x + a.se;
}
void update(int id,int l,int r,pii newLine) {
int mid = (l + r) / 2;
if (f(newLine,l) >= f(st[id],l) && f(newLine,r) >= f(st[id],r)) return;
if (f(newLine,l) <= f(st[id],l) && f(newLine,r) <= f(st[id],r)) {
st[id] = newLine;
return;
}
if (f(st[id],l) <= f(newLine,l) && f(st[id],mid) <= f(newLine,mid)) {
update(id * 2 + 1,mid + 1,r,newLine);
return;
}
if (f(st[id],l) >= f(newLine,l) && f(st[id],mid) >= f(newLine,mid)) {
update(id * 2 + 1,mid + 1,r,st[id]);
st[id] = newLine;
return;
}
if (f(st[id],r) <= f(newLine,r) && f(st[id],mid + 1) <= f(newLine,mid + 1)) {
update(id * 2,l,mid,newLine);
return;
}
if (f(st[id],r) >= f(newLine,r) && f(st[id],mid + 1) >= f(newLine,mid + 1)) {
update(id * 2,l,mid,st[id]);
st[id] = newLine;
return;
}
update(id * 2,l,mid,newLine);
update(id * 2 + 1,mid + 1,r,newLine);
}
int get(int id,int l,int r,int x) {
if (r < x || l > x) return inf;
int ans = f(st[id],x);
if (l == r) return ans;
int mid = (l + r) / 2;
ans = min(ans,get(id * 2,l,mid,x));
ans = min(ans,get(id * 2 + 1,mid + 1,r,x));
return ans;
}
signed main() {
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
cin >> n;
for (int i = 1; i <= n; i++) cin >> h[i];
int sum = 0;
for (int i = 1; i <= n; i++) {
cin >> w[i];
sum += w[i];
}
pii tmp = mp(-2 * h[1],h[1] * h[1] - w[1]);
update(1,0,MAX,tmp);
for (int i = 2; i < n; i++) {
int val = get(1,0,MAX,h[i]) + h[i] * h[i] - w[i];
tmp = mp(-2 * h[i],val + h[i] * h[i]);
update(1,0,MAX,tmp);
}
cout << sum + get(1,0,MAX,h[n]) + h[n] * h[n] - w[n] << "\n";
}
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