Submission #625405

# Submission time Handle Problem Language Result Execution time Memory
625405 2022-08-10T11:28:08 Z model_code Catfish Farm (IOI22_fish) C++17
100 / 100
463 ms 60276 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]);
}
# Verdict Execution time Memory Grader output
1 Correct 75 ms 27636 KB Output is correct
2 Correct 90 ms 31788 KB Output is correct
3 Correct 37 ms 22100 KB Output is correct
4 Correct 34 ms 22100 KB Output is correct
5 Correct 315 ms 60276 KB Output is correct
6 Correct 429 ms 57564 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 153 ms 34256 KB Output is correct
3 Correct 158 ms 39500 KB Output is correct
4 Correct 74 ms 27660 KB Output is correct
5 Correct 89 ms 31768 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 212 KB Output is correct
10 Correct 41 ms 22156 KB Output is correct
11 Correct 32 ms 22128 KB Output is correct
12 Correct 89 ms 30016 KB Output is correct
13 Correct 99 ms 34488 KB Output is correct
14 Correct 85 ms 28872 KB Output is correct
15 Correct 119 ms 30196 KB Output is correct
16 Correct 107 ms 28880 KB Output is correct
17 Correct 113 ms 32016 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 44 ms 22092 KB Output is correct
2 Correct 36 ms 22228 KB Output is correct
3 Correct 106 ms 22200 KB Output is correct
4 Correct 79 ms 23372 KB Output is correct
5 Correct 133 ms 24700 KB Output is correct
6 Correct 106 ms 25416 KB Output is correct
7 Correct 109 ms 26060 KB Output is correct
8 Correct 106 ms 24520 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 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 468 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 2 ms 340 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 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 468 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 2 ms 340 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 2 ms 468 KB Output is correct
17 Correct 35 ms 3896 KB Output is correct
18 Correct 27 ms 3992 KB Output is correct
19 Correct 32 ms 3328 KB Output is correct
20 Correct 25 ms 3128 KB Output is correct
21 Correct 27 ms 3740 KB Output is correct
22 Correct 55 ms 6220 KB Output is correct
23 Correct 9 ms 1432 KB Output is correct
24 Correct 31 ms 3204 KB Output is correct
25 Correct 2 ms 468 KB Output is correct
26 Correct 9 ms 1140 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 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 468 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 2 ms 340 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 2 ms 468 KB Output is correct
17 Correct 35 ms 3896 KB Output is correct
18 Correct 27 ms 3992 KB Output is correct
19 Correct 32 ms 3328 KB Output is correct
20 Correct 25 ms 3128 KB Output is correct
21 Correct 27 ms 3740 KB Output is correct
22 Correct 55 ms 6220 KB Output is correct
23 Correct 9 ms 1432 KB Output is correct
24 Correct 31 ms 3204 KB Output is correct
25 Correct 2 ms 468 KB Output is correct
26 Correct 9 ms 1140 KB Output is correct
27 Correct 4 ms 1140 KB Output is correct
28 Correct 178 ms 18580 KB Output is correct
29 Correct 240 ms 29164 KB Output is correct
30 Correct 249 ms 35836 KB Output is correct
31 Correct 225 ms 38336 KB Output is correct
32 Correct 207 ms 19704 KB Output is correct
33 Correct 291 ms 40096 KB Output is correct
34 Correct 234 ms 35324 KB Output is correct
35 Correct 88 ms 11844 KB Output is correct
36 Correct 302 ms 30176 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 44 ms 22092 KB Output is correct
2 Correct 36 ms 22228 KB Output is correct
3 Correct 106 ms 22200 KB Output is correct
4 Correct 79 ms 23372 KB Output is correct
5 Correct 133 ms 24700 KB Output is correct
6 Correct 106 ms 25416 KB Output is correct
7 Correct 109 ms 26060 KB Output is correct
8 Correct 106 ms 24520 KB Output is correct
9 Correct 145 ms 29268 KB Output is correct
10 Correct 122 ms 14652 KB Output is correct
11 Correct 236 ms 29332 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 328 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 34 ms 22100 KB Output is correct
19 Correct 41 ms 22128 KB Output is correct
20 Correct 46 ms 22224 KB Output is correct
21 Correct 59 ms 22200 KB Output is correct
22 Correct 185 ms 29040 KB Output is correct
23 Correct 234 ms 34708 KB Output is correct
24 Correct 261 ms 37272 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 75 ms 27636 KB Output is correct
2 Correct 90 ms 31788 KB Output is correct
3 Correct 37 ms 22100 KB Output is correct
4 Correct 34 ms 22100 KB Output is correct
5 Correct 315 ms 60276 KB Output is correct
6 Correct 429 ms 57564 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 153 ms 34256 KB Output is correct
9 Correct 158 ms 39500 KB Output is correct
10 Correct 74 ms 27660 KB Output is correct
11 Correct 89 ms 31768 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 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 41 ms 22156 KB Output is correct
17 Correct 32 ms 22128 KB Output is correct
18 Correct 89 ms 30016 KB Output is correct
19 Correct 99 ms 34488 KB Output is correct
20 Correct 85 ms 28872 KB Output is correct
21 Correct 119 ms 30196 KB Output is correct
22 Correct 107 ms 28880 KB Output is correct
23 Correct 113 ms 32016 KB Output is correct
24 Correct 44 ms 22092 KB Output is correct
25 Correct 36 ms 22228 KB Output is correct
26 Correct 106 ms 22200 KB Output is correct
27 Correct 79 ms 23372 KB Output is correct
28 Correct 133 ms 24700 KB Output is correct
29 Correct 106 ms 25416 KB Output is correct
30 Correct 109 ms 26060 KB Output is correct
31 Correct 106 ms 24520 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 1 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 468 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 2 ms 340 KB Output is correct
44 Correct 1 ms 212 KB Output is correct
45 Correct 1 ms 340 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 2 ms 468 KB Output is correct
48 Correct 35 ms 3896 KB Output is correct
49 Correct 27 ms 3992 KB Output is correct
50 Correct 32 ms 3328 KB Output is correct
51 Correct 25 ms 3128 KB Output is correct
52 Correct 27 ms 3740 KB Output is correct
53 Correct 55 ms 6220 KB Output is correct
54 Correct 9 ms 1432 KB Output is correct
55 Correct 31 ms 3204 KB Output is correct
56 Correct 2 ms 468 KB Output is correct
57 Correct 9 ms 1140 KB Output is correct
58 Correct 4 ms 1140 KB Output is correct
59 Correct 178 ms 18580 KB Output is correct
60 Correct 240 ms 29164 KB Output is correct
61 Correct 249 ms 35836 KB Output is correct
62 Correct 225 ms 38336 KB Output is correct
63 Correct 207 ms 19704 KB Output is correct
64 Correct 291 ms 40096 KB Output is correct
65 Correct 234 ms 35324 KB Output is correct
66 Correct 88 ms 11844 KB Output is correct
67 Correct 302 ms 30176 KB Output is correct
68 Correct 145 ms 29268 KB Output is correct
69 Correct 122 ms 14652 KB Output is correct
70 Correct 236 ms 29332 KB Output is correct
71 Correct 1 ms 212 KB Output is correct
72 Correct 1 ms 212 KB Output is correct
73 Correct 1 ms 328 KB Output is correct
74 Correct 1 ms 212 KB Output is correct
75 Correct 1 ms 212 KB Output is correct
76 Correct 1 ms 212 KB Output is correct
77 Correct 34 ms 22100 KB Output is correct
78 Correct 41 ms 22128 KB Output is correct
79 Correct 46 ms 22224 KB Output is correct
80 Correct 59 ms 22200 KB Output is correct
81 Correct 185 ms 29040 KB Output is correct
82 Correct 234 ms 34708 KB Output is correct
83 Correct 261 ms 37272 KB Output is correct
84 Correct 324 ms 52260 KB Output is correct
85 Correct 304 ms 54188 KB Output is correct
86 Correct 417 ms 50456 KB Output is correct
87 Correct 451 ms 51544 KB Output is correct
88 Correct 1 ms 304 KB Output is correct
89 Correct 463 ms 52360 KB Output is correct
90 Correct 326 ms 48084 KB Output is correct
91 Correct 278 ms 42752 KB Output is correct