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Submission #1067168

# Submission time Handle Problem Language Result Execution time Memory
1067168 2024-08-20T12:26:56 Z epicci23 Catfish Farm (IOI22_fish) C++17
100 / 100
 759 ms 77512 KB 
#include "bits/stdc++.h"
#include "fish.h"
//#define int64_t long long
#define all(v) v.begin() , v.end()
#define sz(a) (int64_t)a.size()
using namespace std;

const int64_t INF = 1e15;

long long max_weights(int N, int M, vector<int> X, vector<int> Y,vector<int> W){
  int64_t n,m,ans=0;
  n=N,m=M;
  vector<array<int64_t,3>> ar(m);
  for(int64_t i=0;i<m;i++){
    ar[i][0]=X[i]+1;
    ar[i][1]=Y[i]+1;
    ar[i][2]=W[i];
  }
  vector<int64_t> consider[n+5];
  vector<array<int64_t,2>> pre[n+5];
  vector<array<int64_t,2>> fish[n+5];

  for(int64_t i=0;i<m;i++){
    if(ar[i][0]>1) consider[ar[i][0]-1].push_back(ar[i][1]);
    if(ar[i][0]+1<=n) consider[ar[i][0]+1].push_back(ar[i][1]);
  }

  for(int64_t i=0;i<=n;i++){
    consider[i].push_back(0);
    sort(all(consider[i]));
    consider[i].erase(unique(all(consider[i])),consider[i].end());
  }
   
  int64_t res[n+5];
  memset(res,0,sizeof(res));

  for(int64_t i=0;i<m;i++) fish[ar[i][0]].push_back({ar[i][1],ar[i][2]});
  for(int64_t i=1;i<=n;i++){
    fish[i].push_back({0,0});
    sort(all(fish[i]));
    int64_t cur=0;
    for(auto x:fish[i]){
      cur+=x[1];
      pre[i].push_back({x[0],cur});
    }
  }

  vector<int64_t> dp[n+5][2];
  for(int64_t i=0;i<=n;i++){
    dp[i][0].assign(sz(consider[i]),0);
    dp[i][1].assign(sz(consider[i]),0);
  }

  auto get_sum=[&](int64_t i,int64_t j)->int64_t{
   if(i<1 || i>n) return 0;
   array<int64_t,2> bs={j+1,-1};
   int64_t it=lower_bound(all(pre[i]),bs)-pre[i].begin();
   if(it>0) return pre[i][it-1][1];
   return 0;
  };

  for(int64_t i=1;i<=n;i++){
    //start
    for(int64_t j=0;j<sz(consider[i]);j++){
      dp[i][0][j]=max(dp[i][0][j],(i>=3 ? res[i-3] : 0)+get_sum(i-1,consider[i][j]));
      dp[i][1][j]=max(dp[i][1][j],(i>=3 ? res[i-3] : 0)
         +get_sum(i-1,consider[i][j])+get_sum(i+1,consider[i][j]));
    }

    // calc increasing dp
    vector<array<int64_t,2>> v;
    int64_t cur=0;
    for(int64_t j=0;j<sz(dp[i-1][0]);j++){
      cur=max(cur,dp[i-1][0][j]-get_sum(i-1,consider[i-1][j]));
      v.push_back({consider[i-1][j],cur});
    }

    auto get_val=[&](int64_t u,int64_t t)->int64_t{
      array<int64_t,2> bs={u+1,-1};
      int64_t it=lower_bound(all(v),bs)-v.begin();
      if(it-t>=0 && it-t<sz(v)) return v[it-t][1];
      return 0;
    };
    
    for(int64_t j=0;j<sz(consider[i]);j++){
      int64_t u=consider[i][j];
      int64_t val=get_sum(i-1,u)+get_val(u,1);
      dp[i][0][j]=max(dp[i][0][j],val);
    }

    // calc decrasing dp
    v.clear();
    cur=0;
    for(int64_t j=sz(dp[i-1][1])-1;j>=0;j--){
      cur=max(cur,dp[i-1][1][j]);
      v.push_back({consider[i-1][j],cur});
    }
    reverse(all(v));

    for(int64_t j=0;j<sz(dp[i][1]);j++){
      int64_t u=consider[i][j];
      dp[i][1][j]=max(dp[i][1][j],get_val(u,0)-get_sum(i,u)+get_sum(i+1,u));
    }
    
    if(i>=2){ // new block
      vector<array<int64_t,2>> arka[2];
      cur=0;
      for(int64_t j=0;j<sz(consider[i-2]);j++){
        int64_t u=consider[i-2][j];
        cur=max(cur,dp[i-2][0][j]);
        cur=max(cur,dp[i-2][1][j]-get_sum(i-1,u));
        arka[0].push_back({u,cur});
      }
      cur=0;
      for(int64_t j=sz(consider[i-2])-1;j>=0;j--){
        int64_t u=consider[i-2][j];
        cur=max(cur,dp[i-2][0][j]+get_sum(i-1,u));
        cur=max(cur,dp[i-2][1][j]);
        arka[1].push_back({u,cur});
      }
      reverse(all(arka[1]));

      auto get_kucuk=[&](int64_t u)->int64_t{
        array<int64_t,2> bs={u+1,-1};
        int64_t it=lower_bound(all(arka[0]),bs)-arka[0].begin();
        if(it>0) return arka[0][it-1][1];
        return 0;
      };

      auto get_buyuk=[&](int64_t u)->int64_t{
        array<int64_t,2> bs={u+1,-1};
        int64_t it=lower_bound(all(arka[1]),bs)-arka[1].begin();
        if(it<sz(arka[1])) return arka[1][it][1];
        return 0;
      };

      for(int64_t j=0;j<sz(consider[i]);j++){
        int64_t u=consider[i][j];
        dp[i][0][j]=max(dp[i][0][j],get_buyuk(u));
        dp[i][0][j]=max(dp[i][0][j],get_kucuk(u)+get_sum(i-1,u));
      }

      for(int64_t j=0;j<sz(consider[i]);j++){
        int64_t u=consider[i][j];
        dp[i][1][j]=max(dp[i][1][j],get_buyuk(u)+get_sum(i+1,u));
        dp[i][1][j]=max(dp[i][1][j],get_kucuk(u)+get_sum(i+1,u)+get_sum(i-1,u));
      }
    }

    // inc to dec

    v.clear();
    cur=0;
    for(int64_t j=sz(consider[i-1])-1;j>=0;j--){
      int64_t u=consider[i-1][j];
      cur=max(cur,dp[i-1][0][j]+get_sum(i,u));
      v.push_back({u,cur});
    }
    reverse(all(v));

    for(int64_t j=0;j<sz(consider[i]);j++){
      int64_t u=consider[i][j];
      dp[i][1][j]=max(dp[i][1][j],get_val(u,0)-get_sum(i,u)+get_sum(i+1,u));
    }
   
    for(int64_t j=0;j<sz(consider[i]);j++){
      ans=max(ans,dp[i][0][j]+get_sum(i+1,consider[i][j]));
      ans=max(ans,dp[i][1][j]);
    }
    res[i]=ans;
  }
  return max(res[n],ans);
}

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 104 ms 39896 KB Output is correct
2 Correct 122 ms 45640 KB Output is correct
3 Correct 44 ms 28392 KB Output is correct
4 Correct 44 ms 28500 KB Output is correct
5 Correct 554 ms 77512 KB Output is correct
6 Correct 377 ms 77144 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 295 ms 52820 KB Output is correct
3 Correct 317 ms 61440 KB Output is correct
4 Correct 105 ms 39808 KB Output is correct
5 Correct 121 ms 45620 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 436 KB Output is correct
10 Correct 52 ms 28600 KB Output is correct
11 Correct 46 ms 28508 KB Output is correct
12 Correct 157 ms 41820 KB Output is correct
13 Correct 181 ms 48060 KB Output is correct
14 Correct 136 ms 39396 KB Output is correct
15 Correct 162 ms 43604 KB Output is correct
16 Correct 138 ms 39168 KB Output is correct
17 Correct 150 ms 43540 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 46 ms 28504 KB Output is correct
2 Correct 45 ms 28404 KB Output is correct
3 Correct 77 ms 31508 KB Output is correct
4 Correct 73 ms 32596 KB Output is correct
5 Correct 111 ms 40604 KB Output is correct
6 Correct 110 ms 39944 KB Output is correct
7 Correct 109 ms 40368 KB Output is correct
8 Correct 108 ms 40532 KB Output is correct

Subtask #4
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 352 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 3 ms 860 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 2 ms 604 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 604 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 352 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 3 ms 860 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 2 ms 604 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 3 ms 604 KB Output is correct
17 Correct 74 ms 6576 KB Output is correct
18 Correct 63 ms 8284 KB Output is correct
19 Correct 49 ms 7768 KB Output is correct
20 Correct 43 ms 7764 KB Output is correct
21 Correct 38 ms 7772 KB Output is correct
22 Correct 99 ms 15080 KB Output is correct
23 Correct 14 ms 1880 KB Output is correct
24 Correct 55 ms 4988 KB Output is correct
25 Correct 2 ms 604 KB Output is correct
26 Correct 12 ms 1856 KB Output is correct

Subtask #6
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 352 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 3 ms 860 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 2 ms 604 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 3 ms 604 KB Output is correct
17 Correct 74 ms 6576 KB Output is correct
18 Correct 63 ms 8284 KB Output is correct
19 Correct 49 ms 7768 KB Output is correct
20 Correct 43 ms 7764 KB Output is correct
21 Correct 38 ms 7772 KB Output is correct
22 Correct 99 ms 15080 KB Output is correct
23 Correct 14 ms 1880 KB Output is correct
24 Correct 55 ms 4988 KB Output is correct
25 Correct 2 ms 604 KB Output is correct
26 Correct 12 ms 1856 KB Output is correct
27 Correct 5 ms 1372 KB Output is correct
28 Correct 352 ms 34064 KB Output is correct
29 Correct 517 ms 46668 KB Output is correct
30 Correct 608 ms 48468 KB Output is correct
31 Correct 616 ms 48720 KB Output is correct
32 Correct 407 ms 47440 KB Output is correct
33 Correct 611 ms 48788 KB Output is correct
34 Correct 632 ms 48724 KB Output is correct
35 Correct 188 ms 19968 KB Output is correct
36 Correct 659 ms 52048 KB Output is correct

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 46 ms 28504 KB Output is correct
2 Correct 45 ms 28404 KB Output is correct
3 Correct 77 ms 31508 KB Output is correct
4 Correct 73 ms 32596 KB Output is correct
5 Correct 111 ms 40604 KB Output is correct
6 Correct 110 ms 39944 KB Output is correct
7 Correct 109 ms 40368 KB Output is correct
8 Correct 108 ms 40532 KB Output is correct
9 Correct 139 ms 40300 KB Output is correct
10 Correct 90 ms 28500 KB Output is correct
11 Correct 189 ms 56404 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 56 ms 28496 KB Output is correct
19 Correct 47 ms 28504 KB Output is correct
20 Correct 47 ms 28508 KB Output is correct
21 Correct 44 ms 28508 KB Output is correct
22 Correct 169 ms 41940 KB Output is correct
23 Correct 249 ms 58964 KB Output is correct
24 Correct 232 ms 60252 KB Output is correct

Subtask #8
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 104 ms 39896 KB Output is correct
2 Correct 122 ms 45640 KB Output is correct
3 Correct 44 ms 28392 KB Output is correct
4 Correct 44 ms 28500 KB Output is correct
5 Correct 554 ms 77512 KB Output is correct
6 Correct 377 ms 77144 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 295 ms 52820 KB Output is correct
9 Correct 317 ms 61440 KB Output is correct
10 Correct 105 ms 39808 KB Output is correct
11 Correct 121 ms 45620 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 436 KB Output is correct
16 Correct 52 ms 28600 KB Output is correct
17 Correct 46 ms 28508 KB Output is correct
18 Correct 157 ms 41820 KB Output is correct
19 Correct 181 ms 48060 KB Output is correct
20 Correct 136 ms 39396 KB Output is correct
21 Correct 162 ms 43604 KB Output is correct
22 Correct 138 ms 39168 KB Output is correct
23 Correct 150 ms 43540 KB Output is correct
24 Correct 46 ms 28504 KB Output is correct
25 Correct 45 ms 28404 KB Output is correct
26 Correct 77 ms 31508 KB Output is correct
27 Correct 73 ms 32596 KB Output is correct
28 Correct 111 ms 40604 KB Output is correct
29 Correct 110 ms 39944 KB Output is correct
30 Correct 109 ms 40368 KB Output is correct
31 Correct 108 ms 40532 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 352 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 1 ms 344 KB Output is correct
41 Correct 3 ms 860 KB Output is correct
42 Correct 1 ms 348 KB Output is correct
43 Correct 2 ms 604 KB Output is correct
44 Correct 1 ms 348 KB Output is correct
45 Correct 1 ms 604 KB Output is correct
46 Correct 1 ms 348 KB Output is correct
47 Correct 3 ms 604 KB Output is correct
48 Correct 74 ms 6576 KB Output is correct
49 Correct 63 ms 8284 KB Output is correct
50 Correct 49 ms 7768 KB Output is correct
51 Correct 43 ms 7764 KB Output is correct
52 Correct 38 ms 7772 KB Output is correct
53 Correct 99 ms 15080 KB Output is correct
54 Correct 14 ms 1880 KB Output is correct
55 Correct 55 ms 4988 KB Output is correct
56 Correct 2 ms 604 KB Output is correct
57 Correct 12 ms 1856 KB Output is correct
58 Correct 5 ms 1372 KB Output is correct
59 Correct 352 ms 34064 KB Output is correct
60 Correct 517 ms 46668 KB Output is correct
61 Correct 608 ms 48468 KB Output is correct
62 Correct 616 ms 48720 KB Output is correct
63 Correct 407 ms 47440 KB Output is correct
64 Correct 611 ms 48788 KB Output is correct
65 Correct 632 ms 48724 KB Output is correct
66 Correct 188 ms 19968 KB Output is correct
67 Correct 659 ms 52048 KB Output is correct
68 Correct 139 ms 40300 KB Output is correct
69 Correct 90 ms 28500 KB Output is correct
70 Correct 189 ms 56404 KB Output is correct
71 Correct 0 ms 348 KB Output is correct
72 Correct 0 ms 348 KB Output is correct
73 Correct 0 ms 348 KB Output is correct
74 Correct 0 ms 348 KB Output is correct
75 Correct 0 ms 348 KB Output is correct
76 Correct 0 ms 348 KB Output is correct
77 Correct 56 ms 28496 KB Output is correct
78 Correct 47 ms 28504 KB Output is correct
79 Correct 47 ms 28508 KB Output is correct
80 Correct 44 ms 28508 KB Output is correct
81 Correct 169 ms 41940 KB Output is correct
82 Correct 249 ms 58964 KB Output is correct
83 Correct 232 ms 60252 KB Output is correct
84 Correct 732 ms 73384 KB Output is correct
85 Correct 759 ms 75204 KB Output is correct
86 Correct 481 ms 72000 KB Output is correct
87 Correct 492 ms 74692 KB Output is correct
88 Correct 0 ms 348 KB Output is correct
89 Correct 464 ms 74836 KB Output is correct
90 Correct 554 ms 74324 KB Output is correct
91 Correct 393 ms 73044 KB Output is correct