#include <bits/stdc++.h>
#pragma GCC target ("avx2")
#pragma GCC optimization ("O3")
#pragma GCC optimization ("unroll-loops")
using namespace std;
const int Nmax = 1e5 + 10;
int n, h[Nmax], s[Nmax];
long long f[Nmax];
int mode;
struct line {
long long a, b;
mutable long double x;
int operator < (const line& other) const {
return (!mode ? a < other.a : x < other.x);
}
};
struct convex: multiset <line> {
int del(iterator u, iterator v) {
if (v == end()) {
u -> x = 1e18;
return 0;
}
if (u -> a == v -> a) u -> x = (u -> b > v -> b ? 1e18 : -1e18);
else u -> x = (long double)(u -> b - v -> b) / (v -> a - u -> a);
return (u -> x >= v -> x);
}
void add(line l) {
auto w = insert(l);
auto u = w, v = w; ++w;
while (del(u, w)) w = erase(w);
if (u != begin() && del((--u), v)) {
v = erase(v);
del(u, v);
}
while ((v = u) != begin() && del((--u), v)) {
v = erase(v);
del(u, v);
}
}
long long get(long long x) {
if (empty()) return 0;
mode = 1;
auto l = *lower_bound({0, 0, x});
mode = 0;
return l.a * x + l.b;
}
} cht;
int main() {
ios :: sync_with_stdio(0); cin.tie(0); cout.tie(0);
cin >> n;
for (int i = 1; i <= n; ++i) cin >> h[i];
for (int i = 1; i <= n; ++i) cin >> s[i];
for (int i = 1; i <= n; ++i) s[i] += s[i - 1];
cht.add({2 * h[1], s[1] - 1LL * h[1] * h[1]});
long long now = 0;
for (int i = 2; i <= n; ++i) {
now = - cht.get(h[i]) + 1LL * h[i] * h[i] + s[i - 1];
cht.add({2 * h[i], - now + s[i] - 1LL * h[i] * h[i]});
}
cout << now;
}
// (- 2 * h[i] * h[j]) + (f[j] - s[j] + h[j] * h[j]) + (h[i] * h[i] + s[i - 1])
Compilation message
building.cpp:3: warning: ignoring '#pragma GCC optimization' [-Wunknown-pragmas]
3 | #pragma GCC optimization ("O3")
|
building.cpp:4: warning: ignoring '#pragma GCC optimization' [-Wunknown-pragmas]
4 | #pragma GCC optimization ("unroll-loops")
|
building.cpp: In member function 'long long int convex::get(long long int)':
building.cpp:48:38: warning: narrowing conversion of 'x' from 'long long int' to 'long double' [-Wnarrowing]
48 | auto l = *lower_bound({0, 0, x});
| ^
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
316 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
43 ms |
1324 KB |
Output is correct |
2 |
Correct |
43 ms |
2204 KB |
Output is correct |
3 |
Correct |
43 ms |
2124 KB |
Output is correct |
4 |
Correct |
46 ms |
2048 KB |
Output is correct |
5 |
Correct |
52 ms |
3516 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
1 ms |
316 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
43 ms |
1324 KB |
Output is correct |
7 |
Correct |
43 ms |
2204 KB |
Output is correct |
8 |
Correct |
43 ms |
2124 KB |
Output is correct |
9 |
Correct |
46 ms |
2048 KB |
Output is correct |
10 |
Correct |
52 ms |
3516 KB |
Output is correct |
11 |
Correct |
46 ms |
2312 KB |
Output is correct |
12 |
Correct |
44 ms |
2164 KB |
Output is correct |
13 |
Correct |
32 ms |
2124 KB |
Output is correct |
14 |
Correct |
42 ms |
2324 KB |
Output is correct |
15 |
Correct |
62 ms |
9768 KB |
Output is correct |
16 |
Correct |
54 ms |
3500 KB |
Output is correct |
17 |
Incorrect |
21 ms |
2044 KB |
Output isn't correct |
18 |
Halted |
0 ms |
0 KB |
- |