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Submission #654814

# Submission time Handle Problem Language Result Execution time Memory
654814 2022-11-01T17:20:21 Z t6twotwo Catfish Farm (IOI22_fish) C++17
100 / 100
 371 ms 51524 KB 
#include "fish.h"
#include <bits/stdc++.h>
using namespace std;
const long long inf = -(1LL << 61);
long long max_weights(int n, int m, vector<int> x, vector<int> y, vector<int> w) {
  vector<vector<int>> b(n);
  for (int i = 0; i < m; i++) {
    b[x[i]].push_back(i);
  }
  vector d(n, vector<int>{-1});
  vector<vector<int>> r(n), p(n);
  for (int i = 0; i < n; i++) {
    sort(b[i].begin(), b[i].end(), [&](int j, int k) {
      return y[j] < y[k];
    });
    for (int j : b[i]) {
      r[i].push_back(y[j]);
      p[i].push_back(w[j]);
      if (i > 0) {
        d[i - 1].push_back(y[j]);
      }
      if (i < n - 1) {
        d[i + 1].push_back(y[j]);
      }
    }
  }
  vector<vector<long long>> ssum(n), psum(n);
  for (int i = 0; i < n; i++) {
    int k = p[i].size();
    psum[i] = vector<long long>(k + 1);
    ssum[i] = vector<long long>(k + 1);
    for (int j = 0; j < k; j++) {
      psum[i][j + 1] = psum[i][j] + p[i][j];
    }
    for (int j = k - 1; j >= 0; j--) {
      ssum[i][j] = ssum[i][j + 1] + p[i][j];
    }
  }
  auto suf_sum = [&](int i, int x) -> long long {
    if (i == -1) {
      return 0;
    }
    return ssum[i][upper_bound(r[i].begin(), r[i].end(), x) - r[i].begin()];
  };
  auto pre_sum = [&](int i, int x) -> long long {
    if (i == -1) {
      return 0;
    }
    return psum[i][upper_bound(r[i].begin(), r[i].end(), x) - r[i].begin()];
  };
  vector<int> e{-1};
  vector<array<long long, 2>> dp{{0, 0}};
  for (int i = 0; i < n; i++) {
    sort(d[i].begin(), d[i].end());
    auto pd = dp;
    int l = d[i].size();
    dp = vector(l, array<long long, 2>{inf, inf});
    int k = pd.size();
    vector<long long> pmax(k + 1, inf);
    for (int j = 0; j < k; j++) {
      pmax[j + 1] = max(pmax[j], pd[j][0] + suf_sum(i - 1, e[j]));
    }
    vector<long long> smax(k + 1, inf);
    for (int j = k - 1; j >= 0; j--) {
      smax[j] = max(smax[j + 1], max(pd[j][0], pd[j][1]) - suf_sum(i, e[j]));
    }
    for (int j = 0; j < k; j++) {
      dp[0][0] = max(dp[0][0], max(pd[j][0], pd[j][1]));
      dp[0][1] = max(dp[0][1], max(pd[j][0], pd[j][1]) + pre_sum(i, e[j]));
    }
    for (int j = 1; j < l; j++) {
      dp[j][0] = max({dp[j][0], max(pd[0][1], pd[0][0] + pre_sum(i - 1, d[i][j])), pmax[upper_bound(e.begin(), e.end(), d[i][j]) - e.begin()] - suf_sum(i - 1, d[i][j])});
      dp[j][1] = max({dp[j][1], max(pd[0][1], pd[0][0] + pre_sum(i - 1, d[i][j])), smax[lower_bound(e.begin(), e.end(), d[i][j]) - e.begin()] + suf_sum(i, d[i][j])});
    }
    e.swap(d[i]);
  }
  long long ans = 0;
  for (auto v : dp) {
    ans = max(ans, max(v[0], v[1]));
  }
  return ans;
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 78 ms 28372 KB Output is correct
2 Correct 99 ms 34040 KB Output is correct
3 Correct 35 ms 23724 KB Output is correct
4 Correct 34 ms 23792 KB Output is correct
5 Correct 269 ms 47640 KB Output is correct
6 Correct 271 ms 46540 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 165 ms 34624 KB Output is correct
3 Correct 208 ms 42152 KB Output is correct
4 Correct 78 ms 29516 KB Output is correct
5 Correct 92 ms 33852 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 23716 KB Output is correct
11 Correct 38 ms 23780 KB Output is correct
12 Correct 94 ms 30760 KB Output is correct
13 Correct 104 ms 35172 KB Output is correct
14 Correct 87 ms 29232 KB Output is correct
15 Correct 111 ms 32492 KB Output is correct
16 Correct 97 ms 29204 KB Output is correct
17 Correct 96 ms 32392 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 38 ms 23788 KB Output is correct
2 Correct 34 ms 23772 KB Output is correct
3 Correct 83 ms 28356 KB Output is correct
4 Correct 72 ms 28356 KB Output is correct
5 Correct 107 ms 37020 KB Output is correct
6 Correct 106 ms 36184 KB Output is correct
7 Correct 115 ms 36912 KB Output is correct
8 Correct 108 ms 36892 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 1 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 468 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 348 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 1 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 468 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 2 ms 476 KB Output is correct
17 Correct 43 ms 3160 KB Output is correct
18 Correct 42 ms 3808 KB Output is correct
19 Correct 38 ms 3700 KB Output is correct
20 Correct 36 ms 3660 KB Output is correct
21 Correct 39 ms 3664 KB Output is correct
22 Correct 78 ms 7032 KB Output is correct
23 Correct 8 ms 984 KB Output is correct
24 Correct 27 ms 2316 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 7 ms 980 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 1 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 468 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 2 ms 476 KB Output is correct
17 Correct 43 ms 3160 KB Output is correct
18 Correct 42 ms 3808 KB Output is correct
19 Correct 38 ms 3700 KB Output is correct
20 Correct 36 ms 3660 KB Output is correct
21 Correct 39 ms 3664 KB Output is correct
22 Correct 78 ms 7032 KB Output is correct
23 Correct 8 ms 984 KB Output is correct
24 Correct 27 ms 2316 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 7 ms 980 KB Output is correct
27 Correct 4 ms 1236 KB Output is correct
28 Correct 257 ms 16384 KB Output is correct
29 Correct 316 ms 21452 KB Output is correct
30 Correct 260 ms 20468 KB Output is correct
31 Correct 283 ms 20568 KB Output is correct
32 Correct 283 ms 23444 KB Output is correct
33 Correct 276 ms 20464 KB Output is correct
34 Correct 266 ms 20428 KB Output is correct
35 Correct 105 ms 9072 KB Output is correct
36 Correct 297 ms 22208 KB Output is correct

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 38 ms 23788 KB Output is correct
2 Correct 34 ms 23772 KB Output is correct
3 Correct 83 ms 28356 KB Output is correct
4 Correct 72 ms 28356 KB Output is correct
5 Correct 107 ms 37020 KB Output is correct
6 Correct 106 ms 36184 KB Output is correct
7 Correct 115 ms 36912 KB Output is correct
8 Correct 108 ms 36892 KB Output is correct
9 Correct 103 ms 36572 KB Output is correct
10 Correct 85 ms 21416 KB Output is correct
11 Correct 171 ms 41528 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 212 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 292 KB Output is correct
18 Correct 34 ms 23764 KB Output is correct
19 Correct 34 ms 23764 KB Output is correct
20 Correct 33 ms 23764 KB Output is correct
21 Correct 35 ms 23800 KB Output is correct
22 Correct 118 ms 34556 KB Output is correct
23 Correct 203 ms 42888 KB Output is correct
24 Correct 169 ms 43228 KB Output is correct

Subtask #8
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 78 ms 28372 KB Output is correct
2 Correct 99 ms 34040 KB Output is correct
3 Correct 35 ms 23724 KB Output is correct
4 Correct 34 ms 23792 KB Output is correct
5 Correct 269 ms 47640 KB Output is correct
6 Correct 271 ms 46540 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 165 ms 34624 KB Output is correct
9 Correct 208 ms 42152 KB Output is correct
10 Correct 78 ms 29516 KB Output is correct
11 Correct 92 ms 33852 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 23716 KB Output is correct
17 Correct 38 ms 23780 KB Output is correct
18 Correct 94 ms 30760 KB Output is correct
19 Correct 104 ms 35172 KB Output is correct
20 Correct 87 ms 29232 KB Output is correct
21 Correct 111 ms 32492 KB Output is correct
22 Correct 97 ms 29204 KB Output is correct
23 Correct 96 ms 32392 KB Output is correct
24 Correct 38 ms 23788 KB Output is correct
25 Correct 34 ms 23772 KB Output is correct
26 Correct 83 ms 28356 KB Output is correct
27 Correct 72 ms 28356 KB Output is correct
28 Correct 107 ms 37020 KB Output is correct
29 Correct 106 ms 36184 KB Output is correct
30 Correct 115 ms 36912 KB Output is correct
31 Correct 108 ms 36892 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 1 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 468 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 1 ms 212 KB Output is correct
45 Correct 1 ms 348 KB Output is correct
46 Correct 1 ms 348 KB Output is correct
47 Correct 2 ms 476 KB Output is correct
48 Correct 43 ms 3160 KB Output is correct
49 Correct 42 ms 3808 KB Output is correct
50 Correct 38 ms 3700 KB Output is correct
51 Correct 36 ms 3660 KB Output is correct
52 Correct 39 ms 3664 KB Output is correct
53 Correct 78 ms 7032 KB Output is correct
54 Correct 8 ms 984 KB Output is correct
55 Correct 27 ms 2316 KB Output is correct
56 Correct 1 ms 340 KB Output is correct
57 Correct 7 ms 980 KB Output is correct
58 Correct 4 ms 1236 KB Output is correct
59 Correct 257 ms 16384 KB Output is correct
60 Correct 316 ms 21452 KB Output is correct
61 Correct 260 ms 20468 KB Output is correct
62 Correct 283 ms 20568 KB Output is correct
63 Correct 283 ms 23444 KB Output is correct
64 Correct 276 ms 20464 KB Output is correct
65 Correct 266 ms 20428 KB Output is correct
66 Correct 105 ms 9072 KB Output is correct
67 Correct 297 ms 22208 KB Output is correct
68 Correct 103 ms 36572 KB Output is correct
69 Correct 85 ms 21416 KB Output is correct
70 Correct 171 ms 41528 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 212 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 292 KB Output is correct
77 Correct 34 ms 23764 KB Output is correct
78 Correct 34 ms 23764 KB Output is correct
79 Correct 33 ms 23764 KB Output is correct
80 Correct 35 ms 23800 KB Output is correct
81 Correct 118 ms 34556 KB Output is correct
82 Correct 203 ms 42888 KB Output is correct
83 Correct 169 ms 43228 KB Output is correct
84 Correct 371 ms 48392 KB Output is correct
85 Correct 360 ms 50216 KB Output is correct
86 Correct 313 ms 48700 KB Output is correct
87 Correct 301 ms 51524 KB Output is correct
88 Correct 0 ms 212 KB Output is correct
89 Correct 318 ms 51520 KB Output is correct
90 Correct 295 ms 49592 KB Output is correct
91 Correct 285 ms 49268 KB Output is correct