#include<bits/stdc++.h>
using namespace std;
const int N = 1e6 + 5;
typedef long long ll;
typedef long double ld;
struct LiChao{
struct line{
ll a, b;
ll eval(ll x){ return a*x+b; }
};
line st[N<<2];
void update(int id, int l, int r, line d){
if(l==r){
if(st[id].eval(l)>d.eval(l)) st[id]=d;
}
else{
int m=l+r>>1;
if(st[id].a<d.a) swap(st[id], d);
if(st[id].eval(m)>d.eval(m)){
swap(st[id], d);
update(id<<1, l, m, d);
}
else{
update(id<<1|1, m+1, r, d);
}
}
}
void insertLine(int lim, line d){
update(1, 1, lim, d);
}
ll query(int id, int l, int r, int x){
if(l==r) return st[id].eval(x);
int m=l+r>>1;
if(x<=m) return min(st[id].eval(x), query(id<<1, l, m, x));
else return min(st[id].eval(x), query(id<<1|1, m+1, r, x));
}
ll getMin(int lim, int x){
return query(1, 1, lim, x);
}
} lichaoTree;
int n, h[N];
ll dp[N], w[N];
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
// #define task "XAYCAU"
// freopen(task".inp", "r", stdin);
// freopen(task".out", "w", stdout);
cin >> n;
for(int i = 1; i <= n; ++i) cin >> h[i];
for(int i = 1; i <= n; ++i) cin >> w[i], w[i] += w[i - 1];
lichaoTree.insertLine(1000000, {- 2 * h[1], h[1] * h[1] + dp[1] - w[1]});
for(int i = 2; i <= n; ++i){
dp[i] = w[i - 1] + h[i] * h[i] + lichaoTree.getMin(1000000, h[i]);
lichaoTree.insertLine(1000000, {-2 * h[i], h[i] * h[i] + dp[i] - w[i]});
}
cout << dp[n];
return 0;
}
Compilation message
building.cpp: In member function 'void LiChao::update(int, int, int, LiChao::line)':
building.cpp:23:20: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
23 | int m=l+r>>1;
| ~^~
building.cpp: In member function 'll LiChao::query(int, int, int, int)':
building.cpp:41:16: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
41 | int m=l+r>>1;
| ~^~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4444 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Incorrect |
1 ms |
4444 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
41 ms |
18004 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
4444 KB |
Output is correct |
2 |
Correct |
1 ms |
4444 KB |
Output is correct |
3 |
Correct |
1 ms |
4444 KB |
Output is correct |
4 |
Correct |
1 ms |
4444 KB |
Output is correct |
5 |
Incorrect |
1 ms |
4444 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |