#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const ll INF = 1000000000000000006LL;
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
int n;
cin >> n;
vector<ll> h(n);
for (int i = 0; i < n; i++) cin >> h[i];
vector<ll> w(n);
for (int i = 0; i < n; i++) cin >> w[i];
if (n <= 1000) {
vector<ll> dp(n, INF);
dp[0] = 0;
for (int i = 1; i < n; i++) {
ll cost = 0;
for (int j = i - 1; j >= 0; j--) {
dp[i] = min(dp[i], dp[j] + cost + (h[i] - h[j]) * (h[i] - h[j]));
cost += w[j];
}
}
cout << dp[n - 1] << "\n";
} else {
ll res = 0;
ll sumAll = 0;
for (int i = 1; i < n - 1; i++) sumAll += w[i];
res += (h[n - 1] - h[0]) * (h[n - 1] - h[0]) + sumAll;
for (int i = 1; i < n - 1; i++) {
res = min(res, sumAll - w[i] + (h[i] - h[0]) * (h[i] - h[0]) + (h[n - 1] - h[i]) * (h[n - 1] - h[i]));
}
map<int, multiset<int>> byHeight;
for (int i = 1; i < n - 1; i++) {
byHeight[h[i]].insert(w[i]);
}
for (int i = 1; i < n - 2; i++) {
byHeight[h[i]].erase(byHeight[h[i]].find(w[i]));
if (byHeight[h[i]].empty()) byHeight.erase(h[i]);
ll cur = sumAll - w[i] + (h[i] - h[0]) * (h[i] - h[0]);
auto it = byHeight.lower_bound((h[n - 1] + h[i]) / 2);
int first = -1;
while (it != byHeight.end()) {
ll cur2 = cur + (h[i] - it->first) * (h[i] - it->first) + (h[n - 1] - it->first) * (h[n - 1] - it->first) - *(it->second).rbegin();
res = min(res, cur2);
if (first == -1) first = it->first;
else if (it->first - first > 10) break;
it++;
}
it = byHeight.lower_bound((h[n - 1] + h[i]) / 2);
if (it == byHeight.begin()) break;
first = -1;
it--;
while (true) {
ll cur2 = cur + (h[i] - it->first) * (h[i] - it->first) + (h[n - 1] - it->first) * (h[n - 1] - it->first) - *(it->second).rbegin();
res = min(res, cur2);
if (first == -1) first = it->first;
else if (first - it->first > 10) {
break;
}
if (it == byHeight.begin()) break;
it--;
}
}
cout << res << "\n";
}
}
/*
6
3 8 7 1 6 6
0 -1 9 1 2 0
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
268 KB |
Output is correct |
5 |
Correct |
2 ms |
332 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
196 ms |
7332 KB |
Output is correct |
2 |
Correct |
214 ms |
8384 KB |
Output is correct |
3 |
Correct |
207 ms |
8404 KB |
Output is correct |
4 |
Correct |
156 ms |
7664 KB |
Output is correct |
5 |
Incorrect |
64 ms |
16844 KB |
Output isn't correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
268 KB |
Output is correct |
5 |
Correct |
2 ms |
332 KB |
Output is correct |
6 |
Correct |
196 ms |
7332 KB |
Output is correct |
7 |
Correct |
214 ms |
8384 KB |
Output is correct |
8 |
Correct |
207 ms |
8404 KB |
Output is correct |
9 |
Correct |
156 ms |
7664 KB |
Output is correct |
10 |
Incorrect |
64 ms |
16844 KB |
Output isn't correct |