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Submission #825106

# Submission time Handle Problem Language Result Execution time Memory
825106 2023-08-14T14:25:24 Z alvingogo Catfish Farm (IOI22_fish) C++17
100 / 100
 467 ms 98672 KB 
#include "fish.h"
#include <bits/stdc++.h>
#define fs first
#define sc second
#define p_q priority_queue
using namespace std;

const long long inf=1e16;
long long max_weights(int n, int m, vector<int> x, vector<int> y, vector<int> w) {
    set<int> tw;
    for(int i=0;i<m;i++){
        if(y[i]==0){
            tw.insert(x[i]);
        }
    }
    vector<vector<pair<int,long long> > > v(n);
    for(int i=0;i<n;i++){
        v[i].push_back({-2,0});
        if(tw.find(i)!=tw.end()){
            continue;
        }
        x.push_back(i);
        y.push_back(0);
        w.push_back(0);
    }
    m=x.size();
    vector<vector<int> > lis(n);
    vector<int> s(n),vs(n);
    for(int i=0;i<m;i++){
        v[x[i]].push_back({y[i],w[i]});
        lis[x[i]].push_back(y[i]-1);
        lis[x[i]].push_back(y[i]);
        if(x[i]-1>=0){
            lis[x[i]-1].push_back(y[i]);
        }
        if(x[i]+1<n){
            lis[x[i]+1].push_back(y[i]);
        }
    }
    auto org=lis;
    for(int i=0;i<n;i++){
        sort(v[i].begin(),v[i].end());
        vs[i]=v[i].size();
        for(int j=1;j<vs[i];j++){
            v[i][j].sc+=v[i][j-1].sc;
        }
        v[i].push_back({1e9,v[i][vs[i]-1].sc});
        sort(lis[i].begin(),lis[i].end());
        lis[i].erase(unique(lis[i].begin(),lis[i].end()),lis[i].end());
        s[i]=lis[i].size();
    }
    auto get=[&](int i,int a){
        return lower_bound(lis[i].begin(),lis[i].end(),a)-lis[i].begin();
    };
    auto get2=[&](int i,int a){
        return upper_bound(v[i].begin(),v[i].end(),pair<int,long long>(a,inf))-v[i].begin()-1;
    };
    auto get3=[&](int i,int a){
        return upper_bound(v[i].begin(),v[i].end(),pair<int,long long>(a,-1))-v[i].begin();
    };
    vector<vector<long long> > dp[3];
    dp[0].resize(n);
    dp[1].resize(n);
    dp[2].resize(n);
    // 0: i-1 >= i, 1: i-1 < i, 2: i = 0, j = the chosen blocks in col i-1  
    for(int i=0;i<n;i++){
        dp[0][i].resize(s[i]);
        dp[1][i].resize(s[i]);
        if(i){
            dp[2][i].resize(s[i-1]);
        }
        else{
            dp[2][i].resize(1);
        }
    }
    for(int i=0;i<s[0];i++){
        dp[1][0][i]=-inf;
    }
    for(int i=1;i<n;i++){
        //dp[0][i][j] = max(dp[0][i-1][j]+cnt[i]);
        // 0 -> 0
        // 1 -> 0
        int l=0;
        int r=s[i-1]-1;
        long long mx=-inf;
        
        for(int j=s[i]-1;j>0;j--){
            while(r>=0 && lis[i-1][r]>=lis[i][j]){
                mx=max(mx,max(dp[0][i-1][r],dp[1][i-1][r])+v[i][get2(i,lis[i-1][r])].sc);
                r--;
            }
            dp[0][i][j]=max(dp[0][i][j],mx-v[i][get2(i,lis[i][j])].sc);
        }
        
        // 1 -> 1
        l=0;
        mx=-inf;
        for(int j=1;j<s[i];j++){
            while(l<s[i-1] && lis[i-1][l]<lis[i][j]){
                mx=max(mx,dp[1][i-1][l]-v[i-1][get2(i-1,lis[i-1][l])].sc);
                l++;
            }
            dp[1][i][j]=max(dp[1][i][j],mx+v[i-1][get2(i-1,lis[i][j])].sc);
        }
        
        // 2 -> 1
        if(i-2>=0){
            l=0;
            mx=-inf;
            for(int j=1;j<s[i];j++){
                while(l<s[i-2] && lis[i-2][l]<lis[i][j]){
                    int z=get2(i-1,lis[i-2][l]);
                    mx=max(mx,dp[2][i-1][l]-v[i-1][z].sc);
                    l++;
                }
                int z=get2(i-1,lis[i][j]);
                dp[1][i][j]=max(dp[1][i][j],mx+v[i-1][z].sc);
            }
            r=s[i-2]-1;
            mx=-inf;
            for(int j=s[i]-1;j>0;j--){
                while(r>=0 && lis[i-2][r]>=lis[i][j]){
                    mx=max(mx,dp[2][i-1][r]);
                    r--;
                }
                dp[1][i][j]=max(dp[1][i][j],mx);
            }
        }
        
        else{
            for(int j=1;j<s[i];j++){
                dp[1][i][j]=max(dp[1][i][j],dp[0][i-1][0]+v[i-1][get2(i-1,lis[i][j])].sc);
            }
        }
        // 0 -> 2
        // 1 -> 2
        for(int j=0;j<s[i-1];j++){
            dp[2][i][j]=max(dp[0][i-1][j],dp[1][i-1][j])+v[i][get2(i,lis[i-1][j])].sc;
        }
        // 2 -> 2
        if(i>=2){
            for(int j=0;j<s[i-2];j++){
                dp[2][i][0]=max(dp[2][i][0],dp[2][i-1][j]);
            }
        }
        else{
            dp[2][i][0]=max(dp[2][i][0],0ll);
        }
        
    }
    /*
    for(int i=0;i<3;i++){
        for(int j=0;j<n;j++){
            for(auto h:dp[i][j]){
                cout << h << " ";
            }
            cout << '\n';
        }
        cout << '\n';
    }
    */
    long long ans=0;
    for(int i=0;i<2;i++){
        for(int j=0;j<s[n-1];j++){
            ans=max(ans,dp[i][n-1][j]);
        }
    }
    for(int i=0;i<s[n-2];i++){
        ans=max(ans,dp[2][n-1][i]);
    }
    return ans;
}

Compilation message

fish.cpp: In function 'long long int max_weights(int, int, std::vector<int>, std::vector<int>, std::vector<int>)':
fish.cpp:52:10: warning: variable 'get' set but not used [-Wunused-but-set-variable]
   52 |     auto get=[&](int i,int a){
      |          ^~~
fish.cpp:58:10: warning: variable 'get3' set but not used [-Wunused-but-set-variable]
   58 |     auto get3=[&](int i,int a){
      |          ^~~~

Subtask #1
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 116 ms 45040 KB Output is correct
2 Correct 138 ms 50816 KB Output is correct
3 Correct 63 ms 39768 KB Output is correct
4 Correct 68 ms 39736 KB Output is correct
5 Correct 363 ms 84656 KB Output is correct
6 Correct 403 ms 93512 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 189 ms 52908 KB Output is correct
3 Correct 228 ms 60080 KB Output is correct
4 Correct 110 ms 45104 KB Output is correct
5 Correct 127 ms 50852 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 64 ms 39848 KB Output is correct
11 Correct 62 ms 39836 KB Output is correct
12 Correct 135 ms 48412 KB Output is correct
13 Correct 160 ms 54732 KB Output is correct
14 Correct 125 ms 47072 KB Output is correct
15 Correct 137 ms 50368 KB Output is correct
16 Correct 129 ms 47200 KB Output is correct
17 Correct 144 ms 52764 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 68 ms 39736 KB Output is correct
2 Correct 64 ms 39744 KB Output is correct
3 Correct 99 ms 39368 KB Output is correct
4 Correct 92 ms 42844 KB Output is correct
5 Correct 154 ms 47136 KB Output is correct
6 Correct 151 ms 47164 KB Output is correct
7 Correct 159 ms 47280 KB Output is correct
8 Correct 161 ms 47196 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 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 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 2 ms 468 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 1 ms 468 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 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 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 2 ms 468 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 1 ms 428 KB Output is correct
16 Correct 2 ms 596 KB Output is correct
17 Correct 38 ms 5348 KB Output is correct
18 Correct 36 ms 6360 KB Output is correct
19 Correct 26 ms 6068 KB Output is correct
20 Correct 26 ms 5920 KB Output is correct
21 Correct 27 ms 5964 KB Output is correct
22 Correct 67 ms 11400 KB Output is correct
23 Correct 10 ms 2132 KB Output is correct
24 Correct 32 ms 4948 KB Output is correct
25 Correct 1 ms 596 KB Output is correct
26 Correct 8 ms 1832 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 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 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 2 ms 468 KB Output is correct
13 Correct 0 ms 340 KB Output is correct
14 Correct 1 ms 468 KB Output is correct
15 Correct 1 ms 428 KB Output is correct
16 Correct 2 ms 596 KB Output is correct
17 Correct 38 ms 5348 KB Output is correct
18 Correct 36 ms 6360 KB Output is correct
19 Correct 26 ms 6068 KB Output is correct
20 Correct 26 ms 5920 KB Output is correct
21 Correct 27 ms 5964 KB Output is correct
22 Correct 67 ms 11400 KB Output is correct
23 Correct 10 ms 2132 KB Output is correct
24 Correct 32 ms 4948 KB Output is correct
25 Correct 1 ms 596 KB Output is correct
26 Correct 8 ms 1832 KB Output is correct
27 Correct 4 ms 1748 KB Output is correct
28 Correct 185 ms 26292 KB Output is correct
29 Correct 274 ms 37840 KB Output is correct
30 Correct 379 ms 51896 KB Output is correct
31 Correct 397 ms 51540 KB Output is correct
32 Correct 232 ms 35592 KB Output is correct
33 Correct 411 ms 52880 KB Output is correct
34 Correct 406 ms 52864 KB Output is correct
35 Correct 100 ms 18660 KB Output is correct
36 Correct 406 ms 49764 KB Output is correct

Subtask #7
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 68 ms 39736 KB Output is correct
2 Correct 64 ms 39744 KB Output is correct
3 Correct 99 ms 39368 KB Output is correct
4 Correct 92 ms 42844 KB Output is correct
5 Correct 154 ms 47136 KB Output is correct
6 Correct 151 ms 47164 KB Output is correct
7 Correct 159 ms 47280 KB Output is correct
8 Correct 161 ms 47196 KB Output is correct
9 Correct 145 ms 51636 KB Output is correct
10 Correct 101 ms 27784 KB Output is correct
11 Correct 229 ms 55244 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 0 ms 212 KB Output is correct
17 Correct 1 ms 300 KB Output is correct
18 Correct 64 ms 39812 KB Output is correct
19 Correct 65 ms 39824 KB Output is correct
20 Correct 64 ms 39812 KB Output is correct
21 Correct 63 ms 39736 KB Output is correct
22 Correct 197 ms 59140 KB Output is correct
23 Correct 284 ms 70808 KB Output is correct
24 Correct 256 ms 72648 KB Output is correct

Subtask #8
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 116 ms 45040 KB Output is correct
2 Correct 138 ms 50816 KB Output is correct
3 Correct 63 ms 39768 KB Output is correct
4 Correct 68 ms 39736 KB Output is correct
5 Correct 363 ms 84656 KB Output is correct
6 Correct 403 ms 93512 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 189 ms 52908 KB Output is correct
9 Correct 228 ms 60080 KB Output is correct
10 Correct 110 ms 45104 KB Output is correct
11 Correct 127 ms 50852 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 64 ms 39848 KB Output is correct
17 Correct 62 ms 39836 KB Output is correct
18 Correct 135 ms 48412 KB Output is correct
19 Correct 160 ms 54732 KB Output is correct
20 Correct 125 ms 47072 KB Output is correct
21 Correct 137 ms 50368 KB Output is correct
22 Correct 129 ms 47200 KB Output is correct
23 Correct 144 ms 52764 KB Output is correct
24 Correct 68 ms 39736 KB Output is correct
25 Correct 64 ms 39744 KB Output is correct
26 Correct 99 ms 39368 KB Output is correct
27 Correct 92 ms 42844 KB Output is correct
28 Correct 154 ms 47136 KB Output is correct
29 Correct 151 ms 47164 KB Output is correct
30 Correct 159 ms 47280 KB Output is correct
31 Correct 161 ms 47196 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 0 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 2 ms 596 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 2 ms 468 KB Output is correct
44 Correct 0 ms 340 KB Output is correct
45 Correct 1 ms 468 KB Output is correct
46 Correct 1 ms 428 KB Output is correct
47 Correct 2 ms 596 KB Output is correct
48 Correct 38 ms 5348 KB Output is correct
49 Correct 36 ms 6360 KB Output is correct
50 Correct 26 ms 6068 KB Output is correct
51 Correct 26 ms 5920 KB Output is correct
52 Correct 27 ms 5964 KB Output is correct
53 Correct 67 ms 11400 KB Output is correct
54 Correct 10 ms 2132 KB Output is correct
55 Correct 32 ms 4948 KB Output is correct
56 Correct 1 ms 596 KB Output is correct
57 Correct 8 ms 1832 KB Output is correct
58 Correct 4 ms 1748 KB Output is correct
59 Correct 185 ms 26292 KB Output is correct
60 Correct 274 ms 37840 KB Output is correct
61 Correct 379 ms 51896 KB Output is correct
62 Correct 397 ms 51540 KB Output is correct
63 Correct 232 ms 35592 KB Output is correct
64 Correct 411 ms 52880 KB Output is correct
65 Correct 406 ms 52864 KB Output is correct
66 Correct 100 ms 18660 KB Output is correct
67 Correct 406 ms 49764 KB Output is correct
68 Correct 145 ms 51636 KB Output is correct
69 Correct 101 ms 27784 KB Output is correct
70 Correct 229 ms 55244 KB Output is correct
71 Correct 0 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 0 ms 212 KB Output is correct
75 Correct 0 ms 212 KB Output is correct
76 Correct 1 ms 300 KB Output is correct
77 Correct 64 ms 39812 KB Output is correct
78 Correct 65 ms 39824 KB Output is correct
79 Correct 64 ms 39812 KB Output is correct
80 Correct 63 ms 39736 KB Output is correct
81 Correct 197 ms 59140 KB Output is correct
82 Correct 284 ms 70808 KB Output is correct
83 Correct 256 ms 72648 KB Output is correct
84 Correct 453 ms 88640 KB Output is correct
85 Correct 461 ms 90764 KB Output is correct
86 Correct 420 ms 94500 KB Output is correct
87 Correct 452 ms 98576 KB Output is correct
88 Correct 1 ms 212 KB Output is correct
89 Correct 467 ms 98672 KB Output is correct
90 Correct 326 ms 86412 KB Output is correct
91 Correct 265 ms 78360 KB Output is correct