oj.uz

Submission #821051

# Submission time Handle Problem Language Result Execution time Memory
821051 2023-08-11T07:09:13 Z dashka Catfish Farm (IOI22_fish) C++17
100 / 100
 251 ms 60324 KB 
#include "fish.h"

#include <bits/stdc++.h>

using namespace std;

long long max_weights(int N, int M, vector<int> X, vector<int> Y, vector<int> W) {
  vector<vector<long long>> fishes(N+1);
  vector<vector<int>> states(N+1, {0});
  for (int i = 0; i < M; ++i) {
    ++Y[i];
    for (int j = max(X[i]-1, 0); j <= min(X[i]+1, N-1); ++j) {
      states[j].push_back(Y[i]);
    }
  }
  
  for (int i = 0; i <= N; ++i) {
    sort(states[i].begin(), states[i].end());
    states[i].erase(unique(states[i].begin(), states[i].end()), states[i].end());
    fishes[i].resize(states[i].size());
  }
  for (int i = 0; i < M; ++i) {
    int x = X[i];
    int y = lower_bound(states[x].begin(), states[x].end(), Y[i]) - states[x].begin();
    fishes[x][y] += W[i];
  }
  vector<vector<long long>> dp_up(N+1), dp_down(N+1);
  for (int i = 0; i <= N; ++i) {
    int sz = states[i].size();
    dp_up[i].assign(sz, 0);
    dp_down[i].assign(sz, 0);
    if (i > 1) {
      long long best = max(dp_up[i-2][0], dp_down[i-2][0]), sum = 0;
      for (int j = 0, lef = 0, mid = 0; j < sz; ++j) {
        while (lef+1 < (int)states[i-2].size() && states[i-2][lef+1] <= states[i][j]) {
          ++lef;
          while (mid+1 < (int)states[i-1].size() && states[i-1][mid+1] <= states[i-2][lef]) {
            ++mid;
            best += fishes[i-1][mid];
            sum += fishes[i-1][mid];
          }
          best = max(best, max(dp_up[i-2][lef], dp_down[i-2][lef]) + sum);
        }
        dp_up[i][j] = max(dp_up[i][j], best);
      }
      best = 0;
      sum = accumulate(fishes[i-1].begin(), fishes[i-1].end(), 0LL);
      for (int j = sz-1, lef = states[i-2].size(), mid = states[i-1].size(); j >= 0; --j) {
        while (lef > 0 && states[i-2][lef-1] >= states[i][j]) {
          --lef;
          while (mid > 0 && states[i-1][mid-1] > states[i-2][lef]) {
            --mid;
            sum -= fishes[i-1][mid];
          }
          best = max(best, max(dp_up[i-2][lef], dp_down[i-2][lef]) + sum);
        }
        dp_up[i][j] = max(dp_up[i][j], best);
      }
    }
    if (i > 0) {
      long long best = dp_up[i-1][0], sum = 0;
      for (int j = 0, lef = 0; j < sz; ++j) {
        while (lef+1 < (int)states[i-1].size() && states[i-1][lef+1] <= states[i][j]) {
          ++lef;
          best += fishes[i-1][lef];
          best = max(best, dp_up[i-1][lef]);
        }
        dp_up[i][j] = max(dp_up[i][j], best);
      }
      best = 0;
      sum = accumulate(fishes[i].begin(), fishes[i].end(), 0LL);
      for (int j = sz-1, lef = states[i-1].size(); j >= 0; --j) {
        while (lef > 0 && states[i-1][lef-1] >= states[i][j]) {
          --lef;
          best = max(best, max(dp_down[i-1][lef], dp_up[i-1][lef]) + sum);
        }
        dp_down[i][j] = max(dp_down[i][j], best-sum);
        sum -= fishes[i][j];
      }
    }
  }
  return max(dp_up[N][0], dp_down[N][0]);
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 63 ms 27760 KB Output is correct
2 Correct 74 ms 31752 KB Output is correct
3 Correct 25 ms 22184 KB Output is correct
4 Correct 24 ms 22204 KB Output is correct
5 Correct 204 ms 60324 KB Output is correct
6 Correct 246 ms 57592 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 109 ms 34340 KB Output is correct
3 Correct 131 ms 39304 KB Output is correct
4 Correct 61 ms 27692 KB Output is correct
5 Correct 79 ms 31796 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 24 ms 22228 KB Output is correct
11 Correct 30 ms 22112 KB Output is correct
12 Correct 70 ms 29956 KB Output is correct
13 Correct 90 ms 34500 KB Output is correct
14 Correct 68 ms 29000 KB Output is correct
15 Correct 72 ms 30160 KB Output is correct
16 Correct 65 ms 28900 KB Output is correct
17 Correct 74 ms 32044 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 22148 KB Output is correct
2 Correct 25 ms 22092 KB Output is correct
3 Correct 42 ms 22228 KB Output is correct
4 Correct 42 ms 23672 KB Output is correct
5 Correct 73 ms 26128 KB Output is correct
6 Correct 59 ms 25524 KB Output is correct
7 Correct 62 ms 26060 KB Output is correct
8 Correct 65 ms 26060 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 1 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 1 ms 340 KB Output is correct
10 Correct 1 ms 468 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 456 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 312 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 1 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 1 ms 340 KB Output is correct
10 Correct 1 ms 468 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 456 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 312 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 20 ms 4360 KB Output is correct
18 Correct 20 ms 4024 KB Output is correct
19 Correct 19 ms 4044 KB Output is correct
20 Correct 19 ms 3892 KB Output is correct
21 Correct 19 ms 3760 KB Output is correct
22 Correct 39 ms 7488 KB Output is correct
23 Correct 5 ms 1364 KB Output is correct
24 Correct 15 ms 3596 KB Output is correct
25 Correct 1 ms 440 KB Output is correct
26 Correct 5 ms 1236 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 1 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 1 ms 340 KB Output is correct
10 Correct 1 ms 468 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 456 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 312 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 468 KB Output is correct
17 Correct 20 ms 4360 KB Output is correct
18 Correct 20 ms 4024 KB Output is correct
19 Correct 19 ms 4044 KB Output is correct
20 Correct 19 ms 3892 KB Output is correct
21 Correct 19 ms 3760 KB Output is correct
22 Correct 39 ms 7488 KB Output is correct
23 Correct 5 ms 1364 KB Output is correct
24 Correct 15 ms 3596 KB Output is correct
25 Correct 1 ms 440 KB Output is correct
26 Correct 5 ms 1236 KB Output is correct
27 Correct 2 ms 1076 KB Output is correct
28 Correct 106 ms 18676 KB Output is correct
29 Correct 156 ms 29528 KB Output is correct
30 Correct 184 ms 39864 KB Output is correct
31 Correct 172 ms 39772 KB Output is correct
32 Correct 134 ms 24292 KB Output is correct
33 Correct 177 ms 40416 KB Output is correct
34 Correct 180 ms 40400 KB Output is correct
35 Correct 56 ms 13492 KB Output is correct
36 Correct 164 ms 35544 KB Output is correct

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 22148 KB Output is correct
2 Correct 25 ms 22092 KB Output is correct
3 Correct 42 ms 22228 KB Output is correct
4 Correct 42 ms 23672 KB Output is correct
5 Correct 73 ms 26128 KB Output is correct
6 Correct 59 ms 25524 KB Output is correct
7 Correct 62 ms 26060 KB Output is correct
8 Correct 65 ms 26060 KB Output is correct
9 Correct 68 ms 30500 KB Output is correct
10 Correct 61 ms 16244 KB Output is correct
11 Correct 124 ms 32456 KB Output is correct
12 Correct 1 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 1 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 25 ms 22232 KB Output is correct
19 Correct 25 ms 22228 KB Output is correct
20 Correct 25 ms 22132 KB Output is correct
21 Correct 24 ms 22184 KB Output is correct
22 Correct 101 ms 30900 KB Output is correct
23 Correct 144 ms 37900 KB Output is correct
24 Correct 139 ms 39164 KB Output is correct

Subtask #8
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 63 ms 27760 KB Output is correct
2 Correct 74 ms 31752 KB Output is correct
3 Correct 25 ms 22184 KB Output is correct
4 Correct 24 ms 22204 KB Output is correct
5 Correct 204 ms 60324 KB Output is correct
6 Correct 246 ms 57592 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 109 ms 34340 KB Output is correct
9 Correct 131 ms 39304 KB Output is correct
10 Correct 61 ms 27692 KB Output is correct
11 Correct 79 ms 31796 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 24 ms 22228 KB Output is correct
17 Correct 30 ms 22112 KB Output is correct
18 Correct 70 ms 29956 KB Output is correct
19 Correct 90 ms 34500 KB Output is correct
20 Correct 68 ms 29000 KB Output is correct
21 Correct 72 ms 30160 KB Output is correct
22 Correct 65 ms 28900 KB Output is correct
23 Correct 74 ms 32044 KB Output is correct
24 Correct 25 ms 22148 KB Output is correct
25 Correct 25 ms 22092 KB Output is correct
26 Correct 42 ms 22228 KB Output is correct
27 Correct 42 ms 23672 KB Output is correct
28 Correct 73 ms 26128 KB Output is correct
29 Correct 59 ms 25524 KB Output is correct
30 Correct 62 ms 26060 KB Output is correct
31 Correct 65 ms 26060 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 1 ms 212 KB Output is correct
38 Correct 0 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 1 ms 468 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 1 ms 456 KB Output is correct
44 Correct 1 ms 212 KB Output is correct
45 Correct 1 ms 312 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 1 ms 468 KB Output is correct
48 Correct 20 ms 4360 KB Output is correct
49 Correct 20 ms 4024 KB Output is correct
50 Correct 19 ms 4044 KB Output is correct
51 Correct 19 ms 3892 KB Output is correct
52 Correct 19 ms 3760 KB Output is correct
53 Correct 39 ms 7488 KB Output is correct
54 Correct 5 ms 1364 KB Output is correct
55 Correct 15 ms 3596 KB Output is correct
56 Correct 1 ms 440 KB Output is correct
57 Correct 5 ms 1236 KB Output is correct
58 Correct 2 ms 1076 KB Output is correct
59 Correct 106 ms 18676 KB Output is correct
60 Correct 156 ms 29528 KB Output is correct
61 Correct 184 ms 39864 KB Output is correct
62 Correct 172 ms 39772 KB Output is correct
63 Correct 134 ms 24292 KB Output is correct
64 Correct 177 ms 40416 KB Output is correct
65 Correct 180 ms 40400 KB Output is correct
66 Correct 56 ms 13492 KB Output is correct
67 Correct 164 ms 35544 KB Output is correct
68 Correct 68 ms 30500 KB Output is correct
69 Correct 61 ms 16244 KB Output is correct
70 Correct 124 ms 32456 KB Output is correct
71 Correct 1 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 1 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 25 ms 22232 KB Output is correct
78 Correct 25 ms 22228 KB Output is correct
79 Correct 25 ms 22132 KB Output is correct
80 Correct 24 ms 22184 KB Output is correct
81 Correct 101 ms 30900 KB Output is correct
82 Correct 144 ms 37900 KB Output is correct
83 Correct 139 ms 39164 KB Output is correct
84 Correct 217 ms 55252 KB Output is correct
85 Correct 235 ms 56944 KB Output is correct
86 Correct 245 ms 55480 KB Output is correct
87 Correct 244 ms 57296 KB Output is correct
88 Correct 0 ms 212 KB Output is correct
89 Correct 251 ms 57400 KB Output is correct
90 Correct 186 ms 53060 KB Output is correct
91 Correct 157 ms 47408 KB Output is correct