oj.uz

Submission #707669

# Submission time Handle Problem Language Result Execution time Memory
707669 2023-03-09T17:42:52 Z Johann Catfish Farm (IOI22_fish) C++17
100 / 100
 229 ms 64684 KB 
#include "fish.h"

#include "bits/stdc++.h"
using namespace std;

typedef long long ll;
typedef pair<ll, ll> pii;
typedef vector<ll> vi;
typedef vector<vi> vvi;
typedef vector<pii> vpii;
typedef vector<vpii> vvpii;
typedef map<ll, ll> mii;
typedef vector<mii> vmii;
#define sz(x) (int)(x).size()
#define all(x) (x).begin(), (x).end()

const ll INF = 3e5 * 1e9 + 100;

void updateIdx(ll y, ll &ny, vpii::iterator &itpref0, ll &pref0)
{
  while (itpref0->first <= y)
  {
    pref0 = itpref0->second;
    ++itpref0;
  }
  ny = min(itpref0->first, ny);
}

long long max_weights(int N, int M, std::vector<int> X, std::vector<int> Y, std::vector<int> W)
{
  vvpii grid(N + 4); // becomes prefix grid
  for (int x = 0; x < sz(grid); ++x)
    grid[x].push_back({0, 0});

  for (int i = 0; i < M; ++i)
    grid[X[i] + 3].push_back({Y[i] + 1, W[i]}); // Transformation in Y Richtung...

  for (int x = 0; x < sz(grid); ++x)
    sort(all(grid[x]));

  for (int x = 0; x < sz(grid); ++x)
  {
    ll pref = 0;
    for (int i = 0; i < sz(grid[x]); ++i)
    {
      grid[x][i].second += pref;
      pref = grid[x][i].second;
    }
    grid[x].push_back({N + 1, pref});
  }

  vvpii dpg(sz(grid)); // growth stack thing
  vvpii dp(sz(grid));  // normal all dp
  vi dpm(sz(grid), 0); // maximum einer Spaltes
  for (int i = 0; i < 3; ++i)
  {
    dp[i].push_back({0, 0});
    dp[i].push_back({N + 1, 0});
    dpg[i].push_back({0, 0});
    dpg[i].push_back({N + 1, 0});
  }

  for (int x = 3; x < sz(grid) - 1; ++x) // so i choose the borders
  {
    ll c1 = -INF, c2 = -INF; // running variables for case 1 and 2 // TODO: INIT
    ll ndp = 0, ndpg = 0;
    dp[x].push_back({0, 0}), dpg[x].push_back({0, 0});
    ll y = 1, ny;
    ll pref0 = 0, pref1 = 0, pref2 = 0, dp0 = 0, dpg1 = 0;
    auto itpref0 = grid[x - 1].begin(); // idx for pref x-1
    auto itpref1 = grid[x].begin();     // idx for pref x
    auto itpref2 = grid[x + 1].begin(); // idx for pref x+1
    auto itdp0 = dp[x - 2].begin();     // idx for dp x-2
    auto itdpg1 = dpg[x - 1].begin();   // idx for dpg x-1
    while (y <= N)
    {
      // update indices
      ny = INT_MAX;
      updateIdx(y, ny, itpref0, pref0);
      updateIdx(y, ny, itpref1, pref1);
      updateIdx(y, ny, itpref2, pref2);
      updateIdx(y, ny, itdp0, dp0);
      updateIdx(y, ny, itdpg1, dpg1);

      // Case 1 - last tower in x-1 and smaller y
      c1 = max(c1, dpg1 - pref0 - pref1);
      ndpg = max(ndpg, pref0 + pref2 + c1);

      // Case 2 - last tower in x-2 and smaller y
      c2 = max(c2, dp0 - pref0);
      ndpg = max(ndpg, pref0 + pref2 + c2);

      // Case 3 - last tower in x-1 and larger y (or if it is smaller, case 1 performs better)
      // here the last tower might be larger than the current one
      ndp = max(ndp, dpm[x - 1] - pref1 + pref2);

      // Case 4 - Last Tower in x-2 and larger y (or if it is smaller, case 2 performs better)
      ndpg = max(ndpg, dpm[x - 2] + pref2);

      // Case 5 - Last Tower in x-3
      ndpg = max(ndpg, dpm[x - 3] + pref0 + pref2);

      // keep track for dpg & dpm
      ndp = max(ndp, ndpg);
      dpm[x] = max(dpm[x], ndp);
      if (ndpg != dpg[x].back().second)
        dpg[x].push_back({y, ndpg});
      if (ndp != dp[x].back().second)
        dp[x].push_back({y, ndp});

      y = ny;
    }
    dp[x].push_back({N + 1, dp[x].back().second});
    dpg[x].push_back({N + 1, dpg[x].back().second});
  }

  return *max_element(all(dpm));
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 77 ms 33192 KB Output is correct
2 Correct 89 ms 37532 KB Output is correct
3 Correct 46 ms 28364 KB Output is correct
4 Correct 46 ms 28364 KB Output is correct
5 Correct 159 ms 50620 KB Output is correct
6 Correct 213 ms 62636 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 126 ms 36424 KB Output is correct
3 Correct 130 ms 41512 KB Output is correct
4 Correct 79 ms 34044 KB Output is correct
5 Correct 95 ms 38800 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 296 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 46 ms 28444 KB Output is correct
11 Correct 44 ms 28456 KB Output is correct
12 Correct 74 ms 32720 KB Output is correct
13 Correct 86 ms 37280 KB Output is correct
14 Correct 73 ms 32568 KB Output is correct
15 Correct 81 ms 35952 KB Output is correct
16 Correct 78 ms 34456 KB Output is correct
17 Correct 84 ms 38332 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 45 ms 28444 KB Output is correct
2 Correct 35 ms 22104 KB Output is correct
3 Correct 68 ms 29484 KB Output is correct
4 Correct 64 ms 31184 KB Output is correct
5 Correct 105 ms 35844 KB Output is correct
6 Correct 93 ms 35872 KB Output is correct
7 Correct 98 ms 35792 KB Output is correct
8 Correct 97 ms 35784 KB Output is correct

Subtask #4
14.0 / 14.0

# 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 304 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 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 1 ms 436 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 440 KB Output is correct

Subtask #5
21.0 / 21.0

# 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 304 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 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 1 ms 436 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 440 KB Output is correct
15 Correct 1 ms 304 KB Output is correct
16 Correct 2 ms 440 KB Output is correct
17 Correct 17 ms 4304 KB Output is correct
18 Correct 17 ms 5092 KB Output is correct
19 Correct 16 ms 4852 KB Output is correct
20 Correct 16 ms 4808 KB Output is correct
21 Correct 17 ms 4764 KB Output is correct
22 Correct 31 ms 8772 KB Output is correct
23 Correct 4 ms 1280 KB Output is correct
24 Correct 12 ms 3384 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 4 ms 1208 KB Output is correct

Subtask #6
17.0 / 17.0

# 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 304 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 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 1 ms 436 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 440 KB Output is correct
15 Correct 1 ms 304 KB Output is correct
16 Correct 2 ms 440 KB Output is correct
17 Correct 17 ms 4304 KB Output is correct
18 Correct 17 ms 5092 KB Output is correct
19 Correct 16 ms 4852 KB Output is correct
20 Correct 16 ms 4808 KB Output is correct
21 Correct 17 ms 4764 KB Output is correct
22 Correct 31 ms 8772 KB Output is correct
23 Correct 4 ms 1280 KB Output is correct
24 Correct 12 ms 3384 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 4 ms 1208 KB Output is correct
27 Correct 3 ms 1492 KB Output is correct
28 Correct 75 ms 19216 KB Output is correct
29 Correct 110 ms 26608 KB Output is correct
30 Correct 119 ms 28404 KB Output is correct
31 Correct 121 ms 28524 KB Output is correct
32 Correct 101 ms 26608 KB Output is correct
33 Correct 121 ms 28784 KB Output is correct
34 Correct 121 ms 28868 KB Output is correct
35 Correct 47 ms 11852 KB Output is correct
36 Correct 132 ms 29420 KB Output is correct

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 45 ms 28444 KB Output is correct
2 Correct 35 ms 22104 KB Output is correct
3 Correct 68 ms 29484 KB Output is correct
4 Correct 64 ms 31184 KB Output is correct
5 Correct 105 ms 35844 KB Output is correct
6 Correct 93 ms 35872 KB Output is correct
7 Correct 98 ms 35792 KB Output is correct
8 Correct 97 ms 35784 KB Output is correct
9 Correct 105 ms 41928 KB Output is correct
10 Correct 65 ms 19396 KB Output is correct
11 Correct 144 ms 37944 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 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 44 ms 28412 KB Output is correct
19 Correct 45 ms 28404 KB Output is correct
20 Correct 38 ms 22196 KB Output is correct
21 Correct 36 ms 22152 KB Output is correct
22 Correct 117 ms 38996 KB Output is correct
23 Correct 180 ms 48156 KB Output is correct
24 Correct 172 ms 48480 KB Output is correct

Subtask #8
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 77 ms 33192 KB Output is correct
2 Correct 89 ms 37532 KB Output is correct
3 Correct 46 ms 28364 KB Output is correct
4 Correct 46 ms 28364 KB Output is correct
5 Correct 159 ms 50620 KB Output is correct
6 Correct 213 ms 62636 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 126 ms 36424 KB Output is correct
9 Correct 130 ms 41512 KB Output is correct
10 Correct 79 ms 34044 KB Output is correct
11 Correct 95 ms 38800 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 296 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 46 ms 28444 KB Output is correct
17 Correct 44 ms 28456 KB Output is correct
18 Correct 74 ms 32720 KB Output is correct
19 Correct 86 ms 37280 KB Output is correct
20 Correct 73 ms 32568 KB Output is correct
21 Correct 81 ms 35952 KB Output is correct
22 Correct 78 ms 34456 KB Output is correct
23 Correct 84 ms 38332 KB Output is correct
24 Correct 45 ms 28444 KB Output is correct
25 Correct 35 ms 22104 KB Output is correct
26 Correct 68 ms 29484 KB Output is correct
27 Correct 64 ms 31184 KB Output is correct
28 Correct 105 ms 35844 KB Output is correct
29 Correct 93 ms 35872 KB Output is correct
30 Correct 98 ms 35792 KB Output is correct
31 Correct 97 ms 35784 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 304 KB Output is correct
37 Correct 0 ms 212 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 1 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 1 ms 436 KB Output is correct
44 Correct 1 ms 212 KB Output is correct
45 Correct 1 ms 440 KB Output is correct
46 Correct 1 ms 304 KB Output is correct
47 Correct 2 ms 440 KB Output is correct
48 Correct 17 ms 4304 KB Output is correct
49 Correct 17 ms 5092 KB Output is correct
50 Correct 16 ms 4852 KB Output is correct
51 Correct 16 ms 4808 KB Output is correct
52 Correct 17 ms 4764 KB Output is correct
53 Correct 31 ms 8772 KB Output is correct
54 Correct 4 ms 1280 KB Output is correct
55 Correct 12 ms 3384 KB Output is correct
56 Correct 1 ms 468 KB Output is correct
57 Correct 4 ms 1208 KB Output is correct
58 Correct 3 ms 1492 KB Output is correct
59 Correct 75 ms 19216 KB Output is correct
60 Correct 110 ms 26608 KB Output is correct
61 Correct 119 ms 28404 KB Output is correct
62 Correct 121 ms 28524 KB Output is correct
63 Correct 101 ms 26608 KB Output is correct
64 Correct 121 ms 28784 KB Output is correct
65 Correct 121 ms 28868 KB Output is correct
66 Correct 47 ms 11852 KB Output is correct
67 Correct 132 ms 29420 KB Output is correct
68 Correct 105 ms 41928 KB Output is correct
69 Correct 65 ms 19396 KB Output is correct
70 Correct 144 ms 37944 KB Output is correct
71 Correct 0 ms 212 KB Output is correct
72 Correct 0 ms 212 KB Output is correct
73 Correct 1 ms 212 KB Output is correct
74 Correct 0 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 44 ms 28412 KB Output is correct
78 Correct 45 ms 28404 KB Output is correct
79 Correct 38 ms 22196 KB Output is correct
80 Correct 36 ms 22152 KB Output is correct
81 Correct 117 ms 38996 KB Output is correct
82 Correct 180 ms 48156 KB Output is correct
83 Correct 172 ms 48480 KB Output is correct
84 Correct 163 ms 55904 KB Output is correct
85 Correct 176 ms 57340 KB Output is correct
86 Correct 224 ms 61624 KB Output is correct
87 Correct 229 ms 64584 KB Output is correct
88 Correct 0 ms 212 KB Output is correct
89 Correct 228 ms 64684 KB Output is correct
90 Correct 190 ms 60904 KB Output is correct
91 Correct 175 ms 59268 KB Output is correct