#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int,int> pii;
#define all(v) v.begin(), v.end()
struct line {
ll slope, c;
line (ll u = 0, ll v = 0) : slope(u), c(v) {}
ll calc (ll x) {return slope * x + c;}
};
struct liChao {
vector<line> tr;
liChao (int sz) : tr(4 * sz, line(0, LLONG_MAX)) {}
void update (int k, line seg, int l, int r) {
if (l + 1 == r) {
if (seg.calc(l) < tr[k].calc(l)) tr[k] = seg;
return;
}
int mid = (l + r) / 2;
if (seg.slope > tr[k].slope) swap(seg, tr[k]); // seg must have lower slope
if (seg.calc(mid) < tr[k].calc(mid)) {
update(2 * k, tr[k], l, mid);
tr[k] = seg;
}
else update(2 * k + 1, seg, mid, r);
}
ll query (int pos, int k, int l, int r) {
if (l + 1 == r) return tr[k].calc(pos);
int mid = (l + r) / 2;
if (pos < mid) return min(tr[k].calc(pos), query(pos, 2 * k, l, mid));
return min(tr[k].calc(pos), query(pos, 2 * k + 1, mid, r));
}
};
const int M = 9;
ll dp[M], h[M], w[M];
ll f1 (int k) {
return -2 * h[k];
}
ll f2 (int k) {
return dp[k] + h[k] * h[k] - w[k];
}
ll f3 (int k) {
return h[k] * h[k] + w[k - 1];
}
int main()
{
ios::sync_with_stdio(0);
cin.tie(0);
int n; cin >> n;
for (int i = 1; i <= n; i++) cin >> h[i];
for (int i = 1; i <= n; i++) {
cin >> w[i];
w[i] += w[i - 1];
}
liChao tree(M);
tree.update(1, line(f1(1), f2(1)), 0, M);
for (int i = 2; i <= n; i++) {
dp[i] = tree.query(h[i], 1, 0, M) + f3(i);
tree.update(1, line(f1(i), f2(i)), 0, M);
}
cout << dp[n];
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Runtime error |
1 ms |
348 KB |
Execution killed with signal 11 |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Runtime error |
1 ms |
604 KB |
Execution killed with signal 11 |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Runtime error |
1 ms |
348 KB |
Execution killed with signal 11 |
3 |
Halted |
0 ms |
0 KB |
- |