#include<bits/stdc++.h>
using namespace std;
using ll = long long;
const int maxm = 1e6 + 1;
const int maxn = 100001;
const ll oo = 1e18;
struct line {
ll a, b;
line () {}
line (ll a, ll b) : a(a), b(b) {}
ll get(ll x) {
return a * x + b;
}
} it[4 * maxm];
struct lichaotree {
#define m ((l + r) >> 1)
void init() {
for (int i = 0; i < 4 * maxm; ++i) it[i].a = 0, it[i].b = oo;
}
void insert(int node, int l, int r, line u) {
bool lef = u.get(l) < it[node].get(l);
bool mid = u.get(m) < it[node].get(m);
if (mid) swap(u, it[node]);
if (l == r) return;
if (lef != mid) insert(node << 1, l, m, u);
else insert(node << 1 | 1, m + 1, r, u);
}
ll get(int node, int l, int r, ll u) {
if (l == r) return it[node].get(u);
if (u <= m) return min(it[node].get(u), get(node << 1, l, m, u));
else return min(it[node].get(u), get(node << 1 | 1, m + 1, r, u));
}
#undef m
} A;
int n;
ll dp[maxn], h[maxn], w[maxn];
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 >> w[i];
dp[1] = -w[1];
A.insert(1, 0, maxm - 1, line(-2 * h[1], h[1] * h[1] - w[1]));
for (int i = 2; i <= n; ++i) {
dp[i] = A.get(1, 0, maxm - 1, h[i]) + h[i] * h[i] - w[i];
A.insert(1, 0, maxm - 1, line(-2 * h[i], h[i] * h[i] + dp[i]));
}
for (int i = 1; i <= n; ++i) dp[n] += w[i];
cout << dp[n];
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
492 KB |
Output is correct |
3 |
Correct |
1 ms |
620 KB |
Output is correct |
4 |
Correct |
2 ms |
748 KB |
Output is correct |
5 |
Incorrect |
1 ms |
876 KB |
Output isn't correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
50 ms |
4196 KB |
Output is correct |
2 |
Correct |
47 ms |
4196 KB |
Output is correct |
3 |
Correct |
49 ms |
4192 KB |
Output is correct |
4 |
Correct |
44 ms |
3940 KB |
Output is correct |
5 |
Incorrect |
40 ms |
5348 KB |
Output isn't correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
492 KB |
Output is correct |
3 |
Correct |
1 ms |
620 KB |
Output is correct |
4 |
Correct |
2 ms |
748 KB |
Output is correct |
5 |
Incorrect |
1 ms |
876 KB |
Output isn't correct |