oj.uz

Submission #797467

# Submission time Handle Problem Language Result Execution time Memory
797467 2023-07-29T12:34:49 Z peijar The short shank; Redemption (BOI21_prison) C++17
100 / 100
 544 ms 225324 KB 
#include <bits/stdc++.h>
#define int long long
using namespace std;

string to_string(string s) { return s; }
template <typename T> string to_string(T v) {
  bool first = true;
  string res = "[";
  for (const auto &x : v) {
    if (!first)
      res += ", ";
    first = false;
    res += to_string(x);
  }
  res += "]";
  return res;
}

void dbg_out() { cout << endl; }
template <typename Head, typename... Tail> void dbg_out(Head H, Tail... T) {
  cout << ' ' << to_string(H);
  dbg_out(T...);
}

#ifdef DEBUG
#define dbg(...) cout << "(" << #__VA_ARGS__ << "):", dbg_out(__VA_ARGS__)
#else
#define dbg(...)
#endif

signed main(void) {
  ios_base::sync_with_stdio(false);
  cin.tie(0);

  int nbPer, nbMatelas, T;
  cin >> nbPer >> nbMatelas >> T;

  vector<int> x(nbPer);
  for (int i = 0; i < nbPer; ++i) {
    cin >> x[i];
    x[i] -= i;
  }

  deque<pair<int, int>> candidats;
  candidats.emplace_back(-1e18, -1);
  vector<int> f(nbPer);
  for (int i = 0; i < nbPer; ++i) {
    while (candidats.back().first >= x[i])
      candidats.pop_back();
    candidats.emplace_back(x[i], i);
    auto it = lower_bound(candidats.begin(), candidats.end(),
                          pair<int, int>(T - i, 1e18));
    it--;
    f[i] = it->second;
  }
  dbg(f);

  vector<pair<int, int>> intervalles;
  int nbJamais = 0;
  for (int i = 0; i < nbPer; ++i) {
    if (f[i] == i)
      continue;
    if (f[i] == -1)
      nbJamais++;
    else
      intervalles.emplace_back(f[i], i);
  }

  sort(intervalles.begin(), intervalles.end(), [&](auto l, auto r) {
    if (l.first == r.first)
      return l.second > r.second;
    else
      return l.first < r.first;
  });

  int nbInt = intervalles.size();

  vector<int> stk;
  vector<int> par(nbInt);
  for (int i = 0; i < nbInt; ++i) {
    auto [l, r] = intervalles[i];
    while (!stk.empty() and intervalles[stk.back()].second < l)
      stk.pop_back();
    if (!stk.empty())
      par[i] = stk.back();
    else
      par[i] = -1;
    stk.push_back(i);
  }
  for (int i = 0; i < nbInt; ++i)
    dbg(i, intervalles[i].first, intervalles[i].second, par[i]);

  vector<int> depth(nbInt);
  for (int i = 0; i < nbInt; ++i) {
    if (par[i] != -1)
      depth[i] = 1 + depth[par[i]];
  }

  vector<pair<int, int>> deepest(nbInt);
  for (int i = nbInt - 1; i >= 0; --i) {
    deepest[i] = max(deepest[i], pair(depth[i], i));
    if (par[i] != -1)
      deepest[par[i]] = max(deepest[par[i]], deepest[i]);
  }

  vector<vector<int>> childs(nbInt);

  for (int i = 0; i < nbInt; ++i)
    if (par[i] != -1)
      childs[par[i]].push_back(i);

  priority_queue<pair<int, int>> pq;
  vector<bool> erased(nbInt);

  for (int i = 0; i < nbInt; ++i)
    if (par[i] == -1)
      pq.emplace(deepest[i]);

  int sol = nbPer - nbJamais;

  for (int it = 0; it < nbMatelas and !pq.empty(); ++it) {
    auto [cnt, u] = pq.top();
    pq.pop();
    sol -= cnt + 1;
    while (u != -1 and !erased[u]) {
      erased[u] = true;
      for (int v : childs[u])
        if (!erased[v])
          pq.emplace(deepest[v].first - depth[v], deepest[v].second);
      u = par[u];
    }
  }
  cout << sol << endl;
}

Subtask #1
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 320 KB Output is correct
2 Correct 0 ms 324 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 1 ms 324 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 320 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 102 ms 38480 KB Output is correct
3 Correct 73 ms 30568 KB Output is correct
4 Correct 100 ms 39520 KB Output is correct
5 Correct 79 ms 42544 KB Output is correct
6 Correct 73 ms 34908 KB Output is correct
7 Correct 98 ms 66744 KB Output is correct
8 Correct 91 ms 39304 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 320 KB Output is correct
2 Correct 0 ms 324 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 1 ms 324 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 320 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 324 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 1 ms 324 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 1 ms 316 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 0 ms 324 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 596 KB Output is correct
24 Correct 1 ms 596 KB Output is correct
25 Correct 1 ms 596 KB Output is correct
26 Correct 1 ms 516 KB Output is correct
27 Correct 1 ms 596 KB Output is correct
28 Correct 1 ms 588 KB Output is correct
29 Correct 2 ms 648 KB Output is correct
30 Correct 1 ms 596 KB Output is correct
31 Correct 1 ms 592 KB Output is correct
32 Correct 1 ms 596 KB Output is correct
33 Correct 1 ms 596 KB Output is correct
34 Correct 1 ms 596 KB Output is correct
35 Correct 2 ms 596 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 14 ms 7116 KB Output is correct
3 Correct 14 ms 6304 KB Output is correct
4 Correct 17 ms 7536 KB Output is correct
5 Correct 15 ms 7884 KB Output is correct
6 Correct 17 ms 8200 KB Output is correct
7 Correct 10 ms 5132 KB Output is correct
8 Correct 12 ms 5000 KB Output is correct
9 Correct 14 ms 10188 KB Output is correct
10 Correct 9 ms 5968 KB Output is correct

Subtask #5
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 320 KB Output is correct
2 Correct 0 ms 324 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 1 ms 324 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 320 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 324 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 0 ms 340 KB Output is correct
17 Correct 1 ms 324 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 1 ms 316 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 0 ms 324 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 596 KB Output is correct
24 Correct 1 ms 596 KB Output is correct
25 Correct 1 ms 596 KB Output is correct
26 Correct 1 ms 516 KB Output is correct
27 Correct 1 ms 596 KB Output is correct
28 Correct 1 ms 588 KB Output is correct
29 Correct 2 ms 648 KB Output is correct
30 Correct 1 ms 596 KB Output is correct
31 Correct 1 ms 592 KB Output is correct
32 Correct 1 ms 596 KB Output is correct
33 Correct 1 ms 596 KB Output is correct
34 Correct 1 ms 596 KB Output is correct
35 Correct 2 ms 596 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 14 ms 7116 KB Output is correct
38 Correct 14 ms 6304 KB Output is correct
39 Correct 17 ms 7536 KB Output is correct
40 Correct 15 ms 7884 KB Output is correct
41 Correct 17 ms 8200 KB Output is correct
42 Correct 10 ms 5132 KB Output is correct
43 Correct 12 ms 5000 KB Output is correct
44 Correct 14 ms 10188 KB Output is correct
45 Correct 9 ms 5968 KB Output is correct
46 Correct 0 ms 212 KB Output is correct
47 Correct 1 ms 328 KB Output is correct
48 Correct 1 ms 340 KB Output is correct
49 Correct 0 ms 324 KB Output is correct
50 Correct 1 ms 340 KB Output is correct
51 Correct 1 ms 340 KB Output is correct
52 Correct 1 ms 340 KB Output is correct
53 Correct 1 ms 340 KB Output is correct
54 Correct 0 ms 340 KB Output is correct
55 Correct 1 ms 324 KB Output is correct
56 Correct 1 ms 340 KB Output is correct
57 Correct 2 ms 596 KB Output is correct
58 Correct 2 ms 596 KB Output is correct
59 Correct 1 ms 596 KB Output is correct
60 Correct 1 ms 596 KB Output is correct
61 Correct 1 ms 596 KB Output is correct
62 Correct 1 ms 584 KB Output is correct
63 Correct 1 ms 584 KB Output is correct
64 Correct 1 ms 596 KB Output is correct
65 Correct 1 ms 596 KB Output is correct
66 Correct 1 ms 468 KB Output is correct
67 Correct 1 ms 596 KB Output is correct
68 Correct 1 ms 596 KB Output is correct
69 Correct 1 ms 592 KB Output is correct
70 Correct 1 ms 212 KB Output is correct
71 Correct 18 ms 7112 KB Output is correct
72 Correct 13 ms 6224 KB Output is correct
73 Correct 17 ms 7552 KB Output is correct
74 Correct 15 ms 7948 KB Output is correct
75 Correct 16 ms 8272 KB Output is correct
76 Correct 10 ms 5148 KB Output is correct
77 Correct 10 ms 5004 KB Output is correct
78 Correct 15 ms 10144 KB Output is correct
79 Correct 9 ms 5964 KB Output is correct
80 Correct 17 ms 6388 KB Output is correct
81 Correct 15 ms 7172 KB Output is correct
82 Correct 14 ms 6212 KB Output is correct
83 Correct 18 ms 7652 KB Output is correct
84 Correct 12 ms 6508 KB Output is correct
85 Correct 18 ms 8820 KB Output is correct
86 Correct 14 ms 6600 KB Output is correct
87 Correct 12 ms 4948 KB Output is correct
88 Correct 17 ms 8760 KB Output is correct
89 Correct 15 ms 9988 KB Output is correct
90 Correct 17 ms 8688 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 320 KB Output is correct
2 Correct 0 ms 324 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 1 ms 324 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 320 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 102 ms 38480 KB Output is correct
14 Correct 73 ms 30568 KB Output is correct
15 Correct 100 ms 39520 KB Output is correct
16 Correct 79 ms 42544 KB Output is correct
17 Correct 73 ms 34908 KB Output is correct
18 Correct 98 ms 66744 KB Output is correct
19 Correct 91 ms 39304 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 324 KB Output is correct
22 Correct 0 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 0 ms 340 KB Output is correct
25 Correct 1 ms 324 KB Output is correct
26 Correct 0 ms 340 KB Output is correct
27 Correct 1 ms 316 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 0 ms 324 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 596 KB Output is correct
32 Correct 1 ms 596 KB Output is correct
33 Correct 1 ms 596 KB Output is correct
34 Correct 1 ms 516 KB Output is correct
35 Correct 1 ms 596 KB Output is correct
36 Correct 1 ms 588 KB Output is correct
37 Correct 2 ms 648 KB Output is correct
38 Correct 1 ms 596 KB Output is correct
39 Correct 1 ms 592 KB Output is correct
40 Correct 1 ms 596 KB Output is correct
41 Correct 1 ms 596 KB Output is correct
42 Correct 1 ms 596 KB Output is correct
43 Correct 2 ms 596 KB Output is correct
44 Correct 1 ms 212 KB Output is correct
45 Correct 14 ms 7116 KB Output is correct
46 Correct 14 ms 6304 KB Output is correct
47 Correct 17 ms 7536 KB Output is correct
48 Correct 15 ms 7884 KB Output is correct
49 Correct 17 ms 8200 KB Output is correct
50 Correct 10 ms 5132 KB Output is correct
51 Correct 12 ms 5000 KB Output is correct
52 Correct 14 ms 10188 KB Output is correct
53 Correct 9 ms 5968 KB Output is correct
54 Correct 0 ms 212 KB Output is correct
55 Correct 1 ms 328 KB Output is correct
56 Correct 1 ms 340 KB Output is correct
57 Correct 0 ms 324 KB Output is correct
58 Correct 1 ms 340 KB Output is correct
59 Correct 1 ms 340 KB Output is correct
60 Correct 1 ms 340 KB Output is correct
61 Correct 1 ms 340 KB Output is correct
62 Correct 0 ms 340 KB Output is correct
63 Correct 1 ms 324 KB Output is correct
64 Correct 1 ms 340 KB Output is correct
65 Correct 2 ms 596 KB Output is correct
66 Correct 2 ms 596 KB Output is correct
67 Correct 1 ms 596 KB Output is correct
68 Correct 1 ms 596 KB Output is correct
69 Correct 1 ms 596 KB Output is correct
70 Correct 1 ms 584 KB Output is correct
71 Correct 1 ms 584 KB Output is correct
72 Correct 1 ms 596 KB Output is correct
73 Correct 1 ms 596 KB Output is correct
74 Correct 1 ms 468 KB Output is correct
75 Correct 1 ms 596 KB Output is correct
76 Correct 1 ms 596 KB Output is correct
77 Correct 1 ms 592 KB Output is correct
78 Correct 1 ms 212 KB Output is correct
79 Correct 18 ms 7112 KB Output is correct
80 Correct 13 ms 6224 KB Output is correct
81 Correct 17 ms 7552 KB Output is correct
82 Correct 15 ms 7948 KB Output is correct
83 Correct 16 ms 8272 KB Output is correct
84 Correct 10 ms 5148 KB Output is correct
85 Correct 10 ms 5004 KB Output is correct
86 Correct 15 ms 10144 KB Output is correct
87 Correct 9 ms 5964 KB Output is correct
88 Correct 17 ms 6388 KB Output is correct
89 Correct 15 ms 7172 KB Output is correct
90 Correct 14 ms 6212 KB Output is correct
91 Correct 18 ms 7652 KB Output is correct
92 Correct 12 ms 6508 KB Output is correct
93 Correct 18 ms 8820 KB Output is correct
94 Correct 14 ms 6600 KB Output is correct
95 Correct 12 ms 4948 KB Output is correct
96 Correct 17 ms 8760 KB Output is correct
97 Correct 15 ms 9988 KB Output is correct
98 Correct 17 ms 8688 KB Output is correct
99 Correct 1 ms 212 KB Output is correct
100 Correct 1 ms 340 KB Output is correct
101 Correct 1 ms 340 KB Output is correct
102 Correct 1 ms 340 KB Output is correct
103 Correct 1 ms 340 KB Output is correct
104 Correct 1 ms 340 KB Output is correct
105 Correct 0 ms 340 KB Output is correct
106 Correct 1 ms 340 KB Output is correct
107 Correct 1 ms 340 KB Output is correct
108 Correct 0 ms 340 KB Output is correct
109 Correct 0 ms 340 KB Output is correct
110 Correct 0 ms 212 KB Output is correct
111 Correct 83 ms 38552 KB Output is correct
112 Correct 86 ms 30576 KB Output is correct
113 Correct 100 ms 39480 KB Output is correct
114 Correct 96 ms 42548 KB Output is correct
115 Correct 74 ms 34916 KB Output is correct
116 Correct 100 ms 66816 KB Output is correct
117 Correct 79 ms 39396 KB Output is correct
118 Correct 1 ms 596 KB Output is correct
119 Correct 1 ms 596 KB Output is correct
120 Correct 1 ms 596 KB Output is correct
121 Correct 1 ms 596 KB Output is correct
122 Correct 1 ms 596 KB Output is correct
123 Correct 1 ms 592 KB Output is correct
124 Correct 1 ms 644 KB Output is correct
125 Correct 1 ms 596 KB Output is correct
126 Correct 1 ms 596 KB Output is correct
127 Correct 1 ms 588 KB Output is correct
128 Correct 1 ms 596 KB Output is correct
129 Correct 1 ms 596 KB Output is correct
130 Correct 1 ms 628 KB Output is correct
131 Correct 1 ms 212 KB Output is correct
132 Correct 15 ms 7176 KB Output is correct
133 Correct 13 ms 6240 KB Output is correct
134 Correct 17 ms 7632 KB Output is correct
135 Correct 15 ms 7904 KB Output is correct
136 Correct 17 ms 8192 KB Output is correct
137 Correct 11 ms 5208 KB Output is correct
138 Correct 10 ms 5004 KB Output is correct
139 Correct 15 ms 10188 KB Output is correct
140 Correct 9 ms 5968 KB Output is correct
141 Correct 13 ms 6276 KB Output is correct
142 Correct 15 ms 7248 KB Output is correct
143 Correct 14 ms 6184 KB Output is correct
144 Correct 17 ms 7664 KB Output is correct
145 Correct 13 ms 6608 KB Output is correct
146 Correct 17 ms 8836 KB Output is correct
147 Correct 14 ms 6616 KB Output is correct
148 Correct 11 ms 4948 KB Output is correct
149 Correct 20 ms 8756 KB Output is correct
150 Correct 15 ms 9992 KB Output is correct
151 Correct 16 ms 8656 KB Output is correct
152 Correct 334 ms 153648 KB Output is correct
153 Correct 351 ms 163092 KB Output is correct
154 Correct 324 ms 145468 KB Output is correct
155 Correct 486 ms 185644 KB Output is correct
156 Correct 355 ms 175764 KB Output is correct
157 Correct 273 ms 111704 KB Output is correct
158 Correct 328 ms 145672 KB Output is correct
159 Correct 524 ms 225324 KB Output is correct
160 Correct 544 ms 224576 KB Output is correct
161 Correct 299 ms 124740 KB Output is correct
162 Correct 322 ms 129604 KB Output is correct