oj.uz

답안 #582825

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
582825 2022-06-24T13:29:47 Z 600Mihnea Building Bridges (CEOI17_building) C++17
30 / 100
 3000 ms 4812 KB 
#include <bits/stdc++.h>

using namespace std;
typedef long long ll;

struct T {
  ll a;
  ll b;
};

const int N = (int) 1e5 + 7;
const ll INF = (ll) 1e18 + 7;
int n;
ll h[N];
ll sum[N];
ll dp[N];
T coef[N];

/**

T first
T second
T third

T ff, ss, tt

ff.a * x + ff.b = ss.a * x + ss.b
ff.b - ss.b = x * (ss.a - ff.a)

(ff.b - ss.b) / (ss.a - ff.a) < (ss.b - tt.b) / (tt.a - ss.a)
(ff.b - ss.b) * (tt.a - ss.a) < (ss.b - tt.b) * (ss.a - ff.a)

**/

signed main() {
  ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);

  cin >> n;
  for (int i = 1; i <= n; i++) {
    int x;
    cin >> x;
    h[i] = x;
  }
  for (int i = 1; i <= n; i++) {
    int x;
    cin >> x;
    sum[i] = sum[i - 1] + x;
  }

  dp[1] = 0;
  for (int i = 2; i <= n; i++) {
    dp[i] = INF;
  }

  vector<T> all;

  for (int r = 2; r <= n; r++) {
    all.push_back({- 2 * h[r - 1], dp[r - 1] + h[r - 1] * h[r - 1] - sum[r - 1]});

    ll x = h[r];
    for (auto &ln : all) {
      dp[r] = min(dp[r], ln.a * x + ln.b);
    }
    dp[r] += h[r] * h[r] + sum[r - 1];
  }

  cout << dp[n] << "\n";

}

Subtask #1
30.0 / 30.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct

Subtask #2
0 / 30.0

# 결과 실행 시간 메모리 Grader output
1 Execution timed out 3061 ms 4812 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #3
0 / 40.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Execution timed out 3061 ms 4812 KB Time limit exceeded
7 Halted 0 ms 0 KB -