#include <bits/stdc++.h>
#include <iostream>
#include<vector>
using namespace std;
typedef long long ll;
const int sz = 4e5 + 1;
const int N = 4e5 + 5;
const int M = 4e5 + 5;
const int mod = 1e9 + 7;
long long n,m,k,q,cnt;
long long w[N + 1];
long long h[N + 1];
long long dp[N + 1];
vector<int>adj[N + 1];
bool _Line_Comp_State;
struct Line {
// k is slope, m is intercept, p is intersection point
mutable long long k, m, p;
bool operator<(const Line& o) const {
return _Line_Comp_State ? p < o.p : k < o.k;
}
};
struct LineContainer : multiset<Line> {
long long div(long long a, long long b) { return a / b - ((a ^ b) < 0 && a % b); }
bool isect(iterator x, iterator y) {
if (y == end()) {
x->p = LLONG_MAX;
return false;
}
if (x->k == y->k) {
x->p = x->m > y->m ? LLONG_MAX : -LLONG_MAX;
} else {
x->p = div(y->m - x->m, x->k - y->k);
}
return x->p >= y->p;
}
void add(long long k, long long 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));
}
}
long long query(long long x) {
assert(!empty());
_Line_Comp_State = 1;
auto l = *lower_bound({0, 0, x});
_Line_Comp_State = 0;
return l.k * x + l.m;
}
};
int main(){
scanf("%d",&n);
long long to = 0;
for(int i = 1; i <= n; i++) cin>>h[i];
for(int i = 1; i <= n; i++){
cin>>w[i];
to += w[i];
}
LineContainer lc;
dp[1] = -w[1];
lc.add(2 * h[1], -(long long) h[1] * h[1] - dp[1]);
for(int i = 2; i <= n; i++){
dp[i] = - lc.query(h[i]) - w[i] + (long long) h[i] * h[i];
lc.add(2 * h[i], -(long long) h[i] * h[i] - dp[i]);
}
cout<<dp[n] + to<<endl;
}
Compilation message
building.cpp: In function 'int main()':
building.cpp:60:14: warning: format '%d' expects argument of type 'int*', but argument 2 has type 'long long int*' [-Wformat=]
60 | scanf("%d",&n);
| ~^ ~~
| | |
| | long long int*
| int*
| %lld
building.cpp:60:11: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
60 | scanf("%d",&n);
| ~~~~~^~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
9684 KB |
Output is correct |
2 |
Correct |
7 ms |
9724 KB |
Output is correct |
3 |
Correct |
5 ms |
9684 KB |
Output is correct |
4 |
Correct |
6 ms |
9712 KB |
Output is correct |
5 |
Correct |
6 ms |
9684 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
73 ms |
13148 KB |
Output is correct |
2 |
Correct |
76 ms |
13132 KB |
Output is correct |
3 |
Correct |
71 ms |
13240 KB |
Output is correct |
4 |
Correct |
66 ms |
12952 KB |
Output is correct |
5 |
Correct |
68 ms |
14076 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
5 ms |
9684 KB |
Output is correct |
2 |
Correct |
7 ms |
9724 KB |
Output is correct |
3 |
Correct |
5 ms |
9684 KB |
Output is correct |
4 |
Correct |
6 ms |
9712 KB |
Output is correct |
5 |
Correct |
6 ms |
9684 KB |
Output is correct |
6 |
Correct |
73 ms |
13148 KB |
Output is correct |
7 |
Correct |
76 ms |
13132 KB |
Output is correct |
8 |
Correct |
71 ms |
13240 KB |
Output is correct |
9 |
Correct |
66 ms |
12952 KB |
Output is correct |
10 |
Correct |
68 ms |
14076 KB |
Output is correct |
11 |
Correct |
82 ms |
13176 KB |
Output is correct |
12 |
Correct |
86 ms |
13088 KB |
Output is correct |
13 |
Correct |
69 ms |
13088 KB |
Output is correct |
14 |
Correct |
75 ms |
13240 KB |
Output is correct |
15 |
Correct |
86 ms |
19184 KB |
Output is correct |
16 |
Correct |
67 ms |
14164 KB |
Output is correct |
17 |
Correct |
57 ms |
13048 KB |
Output is correct |
18 |
Correct |
58 ms |
13064 KB |
Output is correct |