oj.uz

Submission #628306

# Submission time Handle Problem Language Result Execution time Memory
628306 2022-08-13T09:45:41 Z 600Mihnea Catfish Farm (IOI22_fish) C++17
100 / 100
 927 ms 92032 KB 
#include "fish.h"

#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

void maxup(ll &a, ll b) {
  a = max(a, b);
}

long long max_weights(int n, int cnt_fish, std::vector<int> XX, std::vector<int> YY, std::vector<int> WW) {
  const ll inf = (ll) 1e18 + 7;
  n += 7;

  vector<set<int>> interestingSet(n);
  vector<vector<int>> interesting(n);
  vector<vector<vector<ll>>> dp(2, vector<vector<ll>> (n));
  vector<vector<ll>> both(n);
  vector<ll> dp_zero(n, 0LL);
  vector<vector<pair<int, ll>>> pe(n);

  assert((int) XX.size() == cnt_fish);
  assert((int) YY.size() == cnt_fish);
  assert((int) WW.size() == cnt_fish);


  for (int i = 0; i < cnt_fish; i++) {
    int x = XX[i] + 5, y = YY[i] + 1, w = WW[i];
    pe[x].push_back({y, w});
    vector<int> xs = {x - 1, x + 1};
    for (auto &i : xs) {
      interestingSet[i].insert(y);
    }
  }

  for (int x = 0; x < n; x++) {
    interestingSet[x].insert(0);
    for (auto &y : interestingSet[x]) {
      interesting[x].push_back(y);
    }
    dp[0][x].resize((int) interesting[x].size(), 0LL);
    dp[1][x].resize((int) interesting[x].size(), 0LL);
    both[x].resize((int) interesting[x].size(), 0LL);

    sort(pe[x].begin(), pe[x].end());
    ll sum = 0;
    for (auto &it : pe[x]) {
      sum += it.second;
      it.second = sum;
    }
  }

  function<ll(int, int)> get = [&] (int x, int y) {
    if (x == n) {
      return 0LL;
    }
    assert(0 <= x && x < n);
    assert(0 <= y && y < n);
    ll sol = 0;
    int low = 0, high = (int) pe[x].size() - 1;

    while (low <= high) {
      int mid = (low + high) / 2;
      if (pe[x][mid].first <= y) {
        sol = pe[x][mid].second;
        low = mid + 1;
      } else {
        high = mid - 1;
      }
    }

    return sol;
  };


  for (int i = 5; i < n - 2; i++) {
    {
      maxup(dp_zero[i], dp_zero[i - 1]);
      for (int ant_j = 0; ant_j < (int) interesting[i - 1].size(); ant_j++) {
        int h2 = interesting[i - 1][ant_j];
        maxup(dp_zero[i], both[i - 1][ant_j]);
      }
    }
    {
      vector<ll> dp_ant0((int) interesting[i].size());
      {
        int q = 0, w = 0;
        ll Fpref = -inf, Spref = -inf;
        for (int j = 0; j < (int) interesting[i].size(); j++) {
          int h = interesting[i][j];
          while (q < (int) interesting[i - 2].size() && interesting[i - 2][q] < h) {
            maxup(Fpref, both[i - 2][q]);
            q++;
          }
          while (w < (int) interesting[i - 1].size() && interesting[i - 1][w] < h) {
            int h2 = interesting[i - 1][w];
            maxup(Spref, dp[1][i - 1][w] - get(i, h2) - get(i - 1, h2));
            w++;
          }
          maxup(dp_ant0[j], Fpref + get(i + 1, h));
          maxup(dp_ant0[j], dp_zero[i - 2] + get(i - 1, h) + get(i + 1, h));
          maxup(dp[1][i][j], Spref + get(i - 1, h) + get(i + 1, h));
        }
      }
      {
        int q = (int) interesting[i - 2].size(), w = (int) interesting[i - 1].size();
        ll Fsuf = -inf, Ssuf = -inf;
        for (int j = (int) interesting[i].size() - 1; j >= 0; j--) {
          int h = interesting[i][j];
          while (q - 1 >= 0 && interesting[i - 2][q - 1] >= h) {
            q--;
            maxup(Fsuf, both[i - 2][q] + - get(i - 1, interesting[i - 2][q]));
          }
          while (w - 1 >= 0 && interesting[i - 1][w - 1] >= h) {
            w--;
            maxup(Ssuf, both[i - 1][w]);
          }
          maxup(dp_ant0[j], Fsuf + get(i - 1, h) + get(i + 1, h));
          maxup(dp[0][i][j], Ssuf - get(i, h) + get(i + 1, h));
        }
      }
      for (int j = 0; j < (int) interesting[i].size(); j++) {
        maxup(dp[0][i][j], dp_ant0[j]);
        maxup(dp[1][i][j], dp_ant0[j]);
        both[i][j] = max(dp[0][i][j], dp[1][i][j]);
      }
    }
  }
  ll sol = 0;

  for (int i = 0; i < n; i++) {
    maxup(sol, dp_zero[i]);
    for (int j = 0; j < (int) interesting[i].size(); j++) {
      maxup(sol, both[i][j]);
    }
  }

  return sol;
}

Compilation message

fish.cpp: In function 'long long int max_weights(int, int, std::vector<int>, std::vector<int>, std::vector<int>)':
fish.cpp:82:13: warning: unused variable 'h2' [-Wunused-variable]
   82 |         int h2 = interesting[i - 1][ant_j];
      |             ^~

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 168 ms 47080 KB Output is correct
2 Correct 212 ms 54332 KB Output is correct
3 Correct 72 ms 34660 KB Output is correct
4 Correct 70 ms 34732 KB Output is correct
5 Correct 733 ms 91860 KB Output is correct
6 Correct 739 ms 92032 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 419 ms 62400 KB Output is correct
3 Correct 469 ms 73124 KB Output is correct
4 Correct 169 ms 47076 KB Output is correct
5 Correct 215 ms 54320 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 57 ms 34724 KB Output is correct
11 Correct 57 ms 34656 KB Output is correct
12 Correct 185 ms 47272 KB Output is correct
13 Correct 230 ms 54336 KB Output is correct
14 Correct 180 ms 46784 KB Output is correct
15 Correct 222 ms 53252 KB Output is correct
16 Correct 181 ms 48020 KB Output is correct
17 Correct 204 ms 53156 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 58 ms 34640 KB Output is correct
2 Correct 58 ms 34732 KB Output is correct
3 Correct 103 ms 36876 KB Output is correct
4 Correct 93 ms 38516 KB Output is correct
5 Correct 169 ms 44876 KB Output is correct
6 Correct 165 ms 44828 KB Output is correct
7 Correct 157 ms 44864 KB Output is correct
8 Correct 159 ms 44836 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 2 ms 596 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 2 ms 468 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 468 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 2 ms 596 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 2 ms 468 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 3 ms 596 KB Output is correct
17 Correct 62 ms 6692 KB Output is correct
18 Correct 60 ms 6732 KB Output is correct
19 Correct 51 ms 6732 KB Output is correct
20 Correct 46 ms 6228 KB Output is correct
21 Correct 44 ms 6204 KB Output is correct
22 Correct 109 ms 11992 KB Output is correct
23 Correct 14 ms 2004 KB Output is correct
24 Correct 50 ms 5532 KB Output is correct
25 Correct 2 ms 596 KB Output is correct
26 Correct 12 ms 1924 KB Output is correct

Subtask #6
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 2 ms 596 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 2 ms 468 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 3 ms 596 KB Output is correct
17 Correct 62 ms 6692 KB Output is correct
18 Correct 60 ms 6732 KB Output is correct
19 Correct 51 ms 6732 KB Output is correct
20 Correct 46 ms 6228 KB Output is correct
21 Correct 44 ms 6204 KB Output is correct
22 Correct 109 ms 11992 KB Output is correct
23 Correct 14 ms 2004 KB Output is correct
24 Correct 50 ms 5532 KB Output is correct
25 Correct 2 ms 596 KB Output is correct
26 Correct 12 ms 1924 KB Output is correct
27 Correct 4 ms 1748 KB Output is correct
28 Correct 401 ms 30688 KB Output is correct
29 Correct 686 ms 50976 KB Output is correct
30 Correct 776 ms 60988 KB Output is correct
31 Correct 805 ms 60552 KB Output is correct
32 Correct 461 ms 41144 KB Output is correct
33 Correct 803 ms 61336 KB Output is correct
34 Correct 809 ms 61248 KB Output is correct
35 Correct 217 ms 23120 KB Output is correct
36 Correct 789 ms 58404 KB Output is correct

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 58 ms 34640 KB Output is correct
2 Correct 58 ms 34732 KB Output is correct
3 Correct 103 ms 36876 KB Output is correct
4 Correct 93 ms 38516 KB Output is correct
5 Correct 169 ms 44876 KB Output is correct
6 Correct 165 ms 44828 KB Output is correct
7 Correct 157 ms 44864 KB Output is correct
8 Correct 159 ms 44836 KB Output is correct
9 Correct 216 ms 49700 KB Output is correct
10 Correct 128 ms 26920 KB Output is correct
11 Correct 317 ms 53432 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 57 ms 34708 KB Output is correct
19 Correct 57 ms 34684 KB Output is correct
20 Correct 57 ms 34696 KB Output is correct
21 Correct 60 ms 34740 KB Output is correct
22 Correct 243 ms 50748 KB Output is correct
23 Correct 404 ms 65316 KB Output is correct
24 Correct 411 ms 68424 KB Output is correct

Subtask #8
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 168 ms 47080 KB Output is correct
2 Correct 212 ms 54332 KB Output is correct
3 Correct 72 ms 34660 KB Output is correct
4 Correct 70 ms 34732 KB Output is correct
5 Correct 733 ms 91860 KB Output is correct
6 Correct 739 ms 92032 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 419 ms 62400 KB Output is correct
9 Correct 469 ms 73124 KB Output is correct
10 Correct 169 ms 47076 KB Output is correct
11 Correct 215 ms 54320 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 57 ms 34724 KB Output is correct
17 Correct 57 ms 34656 KB Output is correct
18 Correct 185 ms 47272 KB Output is correct
19 Correct 230 ms 54336 KB Output is correct
20 Correct 180 ms 46784 KB Output is correct
21 Correct 222 ms 53252 KB Output is correct
22 Correct 181 ms 48020 KB Output is correct
23 Correct 204 ms 53156 KB Output is correct
24 Correct 58 ms 34640 KB Output is correct
25 Correct 58 ms 34732 KB Output is correct
26 Correct 103 ms 36876 KB Output is correct
27 Correct 93 ms 38516 KB Output is correct
28 Correct 169 ms 44876 KB Output is correct
29 Correct 165 ms 44828 KB Output is correct
30 Correct 157 ms 44864 KB Output is correct
31 Correct 159 ms 44836 KB Output is correct
32 Correct 0 ms 212 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 0 ms 212 KB Output is correct
35 Correct 0 ms 212 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 0 ms 212 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 0 ms 212 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 2 ms 596 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 2 ms 468 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 1 ms 468 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 3 ms 596 KB Output is correct
48 Correct 62 ms 6692 KB Output is correct
49 Correct 60 ms 6732 KB Output is correct
50 Correct 51 ms 6732 KB Output is correct
51 Correct 46 ms 6228 KB Output is correct
52 Correct 44 ms 6204 KB Output is correct
53 Correct 109 ms 11992 KB Output is correct
54 Correct 14 ms 2004 KB Output is correct
55 Correct 50 ms 5532 KB Output is correct
56 Correct 2 ms 596 KB Output is correct
57 Correct 12 ms 1924 KB Output is correct
58 Correct 4 ms 1748 KB Output is correct
59 Correct 401 ms 30688 KB Output is correct
60 Correct 686 ms 50976 KB Output is correct
61 Correct 776 ms 60988 KB Output is correct
62 Correct 805 ms 60552 KB Output is correct
63 Correct 461 ms 41144 KB Output is correct
64 Correct 803 ms 61336 KB Output is correct
65 Correct 809 ms 61248 KB Output is correct
66 Correct 217 ms 23120 KB Output is correct
67 Correct 789 ms 58404 KB Output is correct
68 Correct 216 ms 49700 KB Output is correct
69 Correct 128 ms 26920 KB Output is correct
70 Correct 317 ms 53432 KB Output is correct
71 Correct 0 ms 212 KB Output is correct
72 Correct 0 ms 212 KB Output is correct
73 Correct 0 ms 212 KB Output is correct
74 Correct 0 ms 212 KB Output is correct
75 Correct 0 ms 212 KB Output is correct
76 Correct 0 ms 212 KB Output is correct
77 Correct 57 ms 34708 KB Output is correct
78 Correct 57 ms 34684 KB Output is correct
79 Correct 57 ms 34696 KB Output is correct
80 Correct 60 ms 34740 KB Output is correct
81 Correct 243 ms 50748 KB Output is correct
82 Correct 404 ms 65316 KB Output is correct
83 Correct 411 ms 68424 KB Output is correct
84 Correct 901 ms 88652 KB Output is correct
85 Correct 927 ms 91684 KB Output is correct
86 Correct 732 ms 87784 KB Output is correct
87 Correct 758 ms 90532 KB Output is correct
88 Correct 1 ms 212 KB Output is correct
89 Correct 763 ms 91052 KB Output is correct
90 Correct 705 ms 86096 KB Output is correct
91 Correct 554 ms 76556 KB Output is correct