#include <bits/stdc++.h>
using namespace std;
#define rep(i, l, r) for (int i = (l); i < (r); ++i)
#define per(i, l, r) for (int i = (r - 1); i >= l; --i)
#define ALL(x) (x).begin(), (x).end()
using i64 = long long;
struct CHT {
// naive
vector<pair<i64, i64>> v;
void add(i64 x, i64 y) {
v.push_back({x, y});
}
i64 calcMin(i64 x) {
i64 ret = 1ll << 60;
for (const auto &[a, b] : v) ret = min(ret, a * x + b);
return ret;
}
};
void main_() {
int N;
cin >> N;
vector<i64> H(N), W(N);
for (auto &e : H) cin >> e;
for (auto &e : W) cin >> e;
vector<i64> dp(N, 1ll << 60);
dp[0] = 0;
CHT cht;
cht.add(-2 * H[0], -W[0] + dp[0] + H[0] * H[0]);
i64 sumW = W[0];
rep(i, 1, N) {
const auto mn = cht.calcMin(H[i]);
dp[i] = mn + H[i] * H[i] + sumW;
sumW += W[i];
cht.add(-2 * H[i], -sumW + dp[i] + H[i] * H[i]);
}
cout << dp[N - 1] << endl;
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
main_();
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Execution timed out |
3057 ms |
5032 KB |
Time limit exceeded |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
348 KB |
Output is correct |
6 |
Execution timed out |
3057 ms |
5032 KB |
Time limit exceeded |
7 |
Halted |
0 ms |
0 KB |
- |