#include <bits/stdc++.h>
using namespace std;
#define sz(x) ((int)size(x))
#define all(x) begin(x), end(x)
#define trace(x) cout << #x << ": " << (x) << endl;
typedef long long ll;
typedef long double ld;
typedef double db;
mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count());
int rand(int l, int r) { return (int) ((ll) rnd() % (r - l + 1)) + l; }
template<typename T>
bool ckmn(T &x, T y) {
if (x > y) {
x = y;
return true;
}
return false;
}
template<typename T>
bool ckmx(T &x, T y) {
if (x < y) {
x = y;
return true;
}
return false;
}
const int N = 100001, infI = 1e9 + 7;
const ll infL = 3e18;
struct line {
ll k = infI, b = infL;
ll f(int x) {
return k * x + b;
}
line() = default;
line(ll a, ll bb) {
k = a, b = bb;
}
};
vector<line> t;
int sz = 1;
vector<int> X;
void add_line(line nw, int x = 1, int lx = 0, int rx = sz) {
int mid = (lx + rx) >> 1;
if (nw.f(X[mid]) < t[x].f(X[mid])) {
swap(nw, t[x]);
}
if (lx + 1 == rx) {
return;
}
if (t[x].k >= nw.k) {
add_line(nw, x << 1 | 1, mid, rx);
} else {
add_line(nw, x << 1, lx, mid);
}
}
ll get(int i) {
int x = i + sz;
ll ans = infL;
while (x) {
ans = min(ans, t[x].f(X[i]));
x >>= 1;
}
return ans;
}
int h[N], w[N];
ll dp[N];
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n;
cin >> n;
while (sz < n) {
sz <<= 1;
}
t.resize(sz << 1);
X.resize(sz << 1);
for (int i = 0; i < n; ++i) {
cin >> h[i];
X[i] = h[i];
}
for (int i = 0; i < n; ++i) {
cin >> w[i];
}
sort(begin(X), begin(X) + n);
for (int i = n; i < sz * 2; ++i)
X[i] = X[i - 1];
dp[0] = 0;
add_line({-2 * h[0], h[0] * (ll)h[0]});
ll sum = w[0];
for (int i = 1; i < n; ++i) {
dp[i] = get(lower_bound(all(X), h[i]) - begin(X)) + h[i] * (ll)h[i] + sum;
sum += w[i];
add_line({-2 * h[i], h[i] * (ll)h[i] + dp[i] - sum});
}
cout << dp[n - 1];
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
1 ms |
340 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
63 ms |
8036 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
1 ms |
340 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |