#include <bits/stdc++.h>
using namespace std;
using ll = long long;
struct line {
mutable ll k, m, p;
line(ll k, ll m, ll p = 0): k(k), m(m), p(p) {}
bool operator < (const line &o) const {
return k < o.k;
}
bool operator < (const ll &x) const {
return p < x;
}
};
template <bool type>
struct cht : multiset <line, less <>> {
const ll inf = 1e18;
ll div(ll a, ll b) {
return a / b - ((a ^ b) < 0 && a % b);
}
bool isect(iterator x, iterator y) {
if (y == end()) {
x->p = inf; return 0;
}
if (x->k == y->k)
x->p = x->m == y->m ? inf : -inf;
else x->p = div(y->m - x->m, x->k - y->k);
return x->p >= y->p;
}
void add(ll k, ll m) {
if (type) {
k = -k; m = -m;
}
auto z = emplace(k, m), 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));
}
void add(line l) {
if (type) {
l.k = -l.k; l.m = -l.m;
}
auto z = insert(l), 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));
}
ll query(ll x) {
if (empty()) return type ? inf : -inf;
auto l = *lower_bound(x);
if (type) return -l.k * x - l.m;
return l.k * x + l.m;
}
};
const int N = 100005;
ll dp[N], h[N], w[N];
int main() {
cin.tie(0)->sync_with_stdio(0);
int n; ll tot = 0; cin >> n;
cht <1> cc;
for (int i = 1; i <= n; i++)
cin >> h[i];
for (int i = 1; i <= n; i++) {
cin >> w[i]; tot += w[i];
}
dp[1] = -w[1];
for (int i = 2; i <= n; i++) {
cc.add(-2 * h[i - 1], dp[i - 1] + h[i - 1] * h[i - 1]);
dp[i] = cc.query(h[i]) - w[i] + h[i] * h[i];
}
cout << dp[n] + tot << '\n';
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
1 ms |
384 KB |
Output is correct |
3 |
Correct |
0 ms |
384 KB |
Output is correct |
4 |
Correct |
1 ms |
384 KB |
Output is correct |
5 |
Incorrect |
1 ms |
384 KB |
Output isn't correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
49 ms |
3832 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
384 KB |
Output is correct |
2 |
Correct |
1 ms |
384 KB |
Output is correct |
3 |
Correct |
0 ms |
384 KB |
Output is correct |
4 |
Correct |
1 ms |
384 KB |
Output is correct |
5 |
Incorrect |
1 ms |
384 KB |
Output isn't correct |