oj.uz

Submission #282438

# Submission time Handle Problem Language Result Execution time Memory
282438 2020-08-24T12:26:59 Z rama_pang Long Distance Coach (JOI17_coach) C++14
71 / 100
 664 ms 262148 KB 
#include <bits/stdc++.h>
using namespace std;

using lint = long long;
const lint INF = 2e18;
const int MAXN = 2e5 + 5;

template<typename A, typename B>
void chmin(A &a, const B &b) { a = min(a, b); }

template<typename A, typename B>
void chmax(A &a, const B &b) { a = max(a, b); }

struct Line {
  lint a, b;
  Line() : a(0), b(INF) {}
  Line(lint a, lint b) : a(a), b(b) {}
  lint get(lint x) {
    return a * x + b;
  }
};

class LiChao {
 private:
  struct Node {
    Line line = Line();
    Node *lc = nullptr;
    Node *rc = nullptr;
  };

  lint sz;
  Node *root = nullptr;

  void InsertLineKnowingly(Node* &n, lint tl, lint tr, Line x) {
    if (n == nullptr) n = new Node();
    if (n->line.get(tl) > x.get(tl)) swap(n->line, x);
    if (n->line.get(tr) <= x.get(tr)) return;
    if (tl == tr) return;
    lint mid = (tl + tr) / 2;
    if (n->line.get(mid) < x.get(mid)) {
      InsertLineKnowingly(n->rc, mid + 1, tr, x);
    } else {
      swap(n->line, x);
      InsertLineKnowingly(n->lc, tl, mid, x);
    }
  }

  void InsertLine(Node* &n, lint tl, lint tr, lint l, lint r, Line x) {
    if (tr < l || r < tl || tl > tr || l > r) return;
    if (n == nullptr) n = new Node();
    if (l <= tl && tr <= r) return InsertLineKnowingly(n, tl, tr, x);
    lint mid = (tl + tr) / 2;
    InsertLine(n->lc, tl, mid, l, r, x);
    InsertLine(n->rc, mid + 1, tr, l, r, x);
  }

  lint Query(Node* &n, lint tl, lint tr, lint x) {
    if (n == nullptr) return INF;
    if (tl == tr) return n->line.get(x);
    lint res = n->line.get(x);
    lint mid = (tl + tr) / 2;
    if (x <= mid) {
      res = min(res, Query(n->lc, tl, mid, x));
    } else {
      res = min(res, Query(n->rc, mid + 1, tr, x));
    }
    return res;
  }

 public:
  LiChao() {}
  LiChao(lint sz) : sz(sz) {}
  vector<Line> all;
  void InsertLine(lint l, lint r, Line x) {
    return InsertLine(root, 0, sz - 1, l, r, x);
  }
  lint Query(lint x) {
    return min(INF, Query(root, 0, sz - 1, x));
  }
};

int N, M;
lint X, W, T;
LiChao li_chao(INF);
lint S[MAXN], P[MAXN];
pair<lint, lint> A[MAXN];

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

  cin >> X >> N >> M >> W >> T;
  for (int i = 0; i < N; i++) {
    cin >> S[i];
  }
  S[N] = X;
  vector<int> order(N + 1);
  iota(begin(order), end(order), 0);
  sort(begin(order), end(order), [&](int i, int j) {
    return (S[i] % T) < (S[j] % T);
  });

  for (int i = 0; i < M; i++) {
    cin >> A[i].first >> A[i].second;
  }
  sort(A, A + M);
  for (int i = 0; i < M; i++) {
    P[i + 1] = P[i] + A[i].second;
  }
  
  vector<vector<pair<int, lint>>> adj(M + 1);
  for (int i = 0; i <= N; i++) {
    int p = upper_bound(A, A + M, make_pair(S[i] % T, -1ll)) - A;
    lint total_weight = 0;
    for (int j = p - 1; j >= 0; j--) {
      lint weight = A[j].second + S[i] / T * W;
      total_weight += weight;
      adj[j].emplace_back(p, total_weight);
    }
  }

  // At time t1 delete [a, b].
  // At time t2 delete [c, d].
  // Then [a, b] and [c, d] will never overlap in optimal answer.
  // If they overlap, we can delete the overlapping region at min(t1, t2) to get more benefit.
  // This is possible since we can keep extending both a and b to the left until 0.

  vector<lint> dp(M + 1, INF);
  dp[0] = (X + T - 1) / T * W;
  for (int i = 0, ptr = 0; i < M; i++) {
    chmin(dp[i + 1], dp[i] + (X + T - 1 - A[i].first) / T * W);
    // li_chao.InsertLine(0, INF - 1, Line(-i, dp[i] - P[i]));
    if (0) while (ptr <= N) {
      int p = upper_bound(A, A + M, make_pair(S[ptr] % T, -1ll)) - A;
      if (p < i + 1) {
        ptr += 1;
        continue;
      }
      if (p == i + 1) {
        // lint x = S[ptr] / T * W;
        // chmin(dp[i + 1], (i + 1) * x + P[i + 1] + li_chao.Query(x));
        lint total_weight = 0;
        for (int j = i; j >= 0; j--) {
          lint weight = A[j].second + S[ptr] / T * W;
          total_weight += weight;
          chmin(dp[i + 1], dp[j] + total_weight);
        }
        ptr += 1;
      } else {
        break;
      }
    }
    for (auto j : adj[i]) {
      chmin(dp[j.first], dp[i] + j.second);
    }
  }

  cout << dp[M] << "\n";
  return 0;
}

Subtask #1
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 0 ms 384 KB Output is correct
16 Correct 0 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 0 ms 384 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 0 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 0 ms 384 KB Output is correct
16 Correct 0 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 0 ms 384 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 0 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 1 ms 512 KB Output is correct
24 Correct 1 ms 512 KB Output is correct
25 Correct 1 ms 512 KB Output is correct
26 Correct 1 ms 512 KB Output is correct
27 Correct 1 ms 512 KB Output is correct
28 Correct 1 ms 512 KB Output is correct
29 Correct 1 ms 512 KB Output is correct
30 Correct 1 ms 512 KB Output is correct
31 Correct 1 ms 512 KB Output is correct
32 Correct 1 ms 512 KB Output is correct
33 Correct 1 ms 512 KB Output is correct
34 Correct 1 ms 512 KB Output is correct
35 Correct 1 ms 512 KB Output is correct
36 Correct 1 ms 512 KB Output is correct
37 Correct 1 ms 512 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 0 ms 384 KB Output is correct
16 Correct 0 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 0 ms 384 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 0 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 1 ms 512 KB Output is correct
24 Correct 1 ms 512 KB Output is correct
25 Correct 1 ms 512 KB Output is correct
26 Correct 1 ms 512 KB Output is correct
27 Correct 1 ms 512 KB Output is correct
28 Correct 1 ms 512 KB Output is correct
29 Correct 1 ms 512 KB Output is correct
30 Correct 1 ms 512 KB Output is correct
31 Correct 1 ms 512 KB Output is correct
32 Correct 1 ms 512 KB Output is correct
33 Correct 1 ms 512 KB Output is correct
34 Correct 1 ms 512 KB Output is correct
35 Correct 1 ms 512 KB Output is correct
36 Correct 1 ms 512 KB Output is correct
37 Correct 1 ms 512 KB Output is correct
38 Correct 59 ms 40440 KB Output is correct
39 Correct 57 ms 37496 KB Output is correct
40 Correct 59 ms 37496 KB Output is correct
41 Correct 60 ms 38648 KB Output is correct
42 Correct 62 ms 40312 KB Output is correct
43 Correct 50 ms 34756 KB Output is correct
44 Correct 68 ms 40700 KB Output is correct
45 Correct 60 ms 39744 KB Output is correct
46 Correct 55 ms 37496 KB Output is correct
47 Correct 57 ms 37496 KB Output is correct
48 Correct 67 ms 39544 KB Output is correct
49 Correct 63 ms 39120 KB Output is correct
50 Correct 67 ms 41040 KB Output is correct
51 Correct 65 ms 41132 KB Output is correct

Subtask #4
0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 1 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 0 ms 384 KB Output is correct
16 Correct 0 ms 384 KB Output is correct
17 Correct 1 ms 384 KB Output is correct
18 Correct 0 ms 384 KB Output is correct
19 Correct 1 ms 384 KB Output is correct
20 Correct 0 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 384 KB Output is correct
23 Correct 1 ms 512 KB Output is correct
24 Correct 1 ms 512 KB Output is correct
25 Correct 1 ms 512 KB Output is correct
26 Correct 1 ms 512 KB Output is correct
27 Correct 1 ms 512 KB Output is correct
28 Correct 1 ms 512 KB Output is correct
29 Correct 1 ms 512 KB Output is correct
30 Correct 1 ms 512 KB Output is correct
31 Correct 1 ms 512 KB Output is correct
32 Correct 1 ms 512 KB Output is correct
33 Correct 1 ms 512 KB Output is correct
34 Correct 1 ms 512 KB Output is correct
35 Correct 1 ms 512 KB Output is correct
36 Correct 1 ms 512 KB Output is correct
37 Correct 1 ms 512 KB Output is correct
38 Correct 59 ms 40440 KB Output is correct
39 Correct 57 ms 37496 KB Output is correct
40 Correct 59 ms 37496 KB Output is correct
41 Correct 60 ms 38648 KB Output is correct
42 Correct 62 ms 40312 KB Output is correct
43 Correct 50 ms 34756 KB Output is correct
44 Correct 68 ms 40700 KB Output is correct
45 Correct 60 ms 39744 KB Output is correct
46 Correct 55 ms 37496 KB Output is correct
47 Correct 57 ms 37496 KB Output is correct
48 Correct 67 ms 39544 KB Output is correct
49 Correct 63 ms 39120 KB Output is correct
50 Correct 67 ms 41040 KB Output is correct
51 Correct 65 ms 41132 KB Output is correct
52 Runtime error 664 ms 262148 KB Execution killed with signal 9
53 Halted 0 ms 0 KB -