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Submission #1014639

# Submission time Handle Problem Language Result Execution time Memory
1014639 2024-07-05T08:41:11 Z JakobZorz Longest Trip (IOI23_longesttrip) C++17
100 / 100
 15 ms 720 KB 
#include"longesttrip.h"
#include<iostream>
#include<algorithm>
#include<map>
#include<set>
using namespace std;

int n,miss;
int perm[1000];
vector<pair<int,int>>unc; // not connected
set<pair<int,int>>uncs;
map<pair<int,int>,bool>cache;
int qc;

vector<int>per(vector<int>arr){
    for(int&i:arr)
        i=perm[i];
    return arr;
}

bool connected(vector<int>a,vector<int>b){
    set<int>as{a.begin(),a.end()};
    set<int>bs{b.begin(),b.end()};
    a=vector<int>(as.begin(),as.end());
    b=vector<int>(bs.begin(),bs.end());
    bool res=are_connected(per(a),per(b));
    miss+=!res;
    qc++;
    return res;
}

bool connected(int a,int b){
    if(a>b)
        swap(a,b);
    if(cache.count({a,b}))
        return cache[{a,b}];
    
    for(int i=0;i<n;i++){
        if(uncs.count({a,i})&&uncs.count({b,i})){
            return cache[{a,b}]=true;
        }
    }
    
    cache[{a,b}]=connected(vector<int>({a}),vector<int>({b}));
    if(!cache[{a,b}]){
        uncs.insert({a,b});
        uncs.insert({b,a});
    }
    return cache[{a,b}];
}

pair<int,int>find_conn(vector<int>v1,vector<int>v2){
    int l1=0,r1=(int)v1.size();
    while(l1<r1-1){
        int mid=(l1+r1)/2;
        vector<int>v;
        for(int i=l1;i<mid;i++)
            v.push_back(v1[i]);
        if(connected(v,v2))
            r1=mid;
        else
            l1=mid;
    }
    
    int l2=0,r2=(int)v2.size();
    while(l2<r2-1){
        int mid=(l2+r2)/2;
        vector<int>v;
        for(int i=l2;i<mid;i++)
            v.push_back(v2[i]);
        if(connected({v1[l1]},v))
            r2=mid;
        else
            l2=mid;
    }
    
    return{v1[l1],v2[l2]};
}

vector<int>merge(vector<int>v1,vector<int>v2){
    while(v2.size()){
        v1.push_back(v2.back());
        v2.pop_back();
    }
    return v1;
}

bool is_unc(int a,int b){
    return uncs.count({a,b});
}

pair<vector<int>,vector<int>>merge(vector<int>v1,vector<int>v2,vector<int>v3){
    int num=is_unc(v1.back(),v2.back())+is_unc(v1.back(),v3.back())+is_unc(v2.back(),v3.back());
    if(num==2){
        if(!is_unc(v1.back(),v2.back()))
            return{merge(v1,v2),v3};
        if(!is_unc(v2.back(),v3.back()))
            return{merge(v3,v2),v1};
        if(!is_unc(v1.back(),v3.back()))
            return{merge(v1,v3),v2};
    }
    
    if(connected(v1.back(),v2.back()))
        return{merge(v1,v2),v3};
    if(is_unc(v1.back(),v3.back())||connected(v2.back(),v3.back()))
        return{merge(v2,v3),v1};
    
    return{merge(v1,v3),v2};
}

vector<int>cyclic_shift(vector<int>arr,int a){
    // it ends with a
    vector<int>res;
    bool b1=false;
    for(int i:arr){
        if(b1)
            res.push_back(i);
        if(i==a)
            b1=true;
    }
    
    bool b2=true;
    for(int i:arr){
        if(b2)
            res.push_back(i);
        if(i==a)
            b2=false;
    }
    return res;
}

vector<int>longest_trip(int N,int D){
    miss=0;
    qc=0;
    uncs.clear();
    cache.clear();
    srand(635748);
    n=N;
    unc.clear();
    for(int i=0;i<n;i++)
        perm[i]=i;
    for(int i=0;i<n;i++)
        swap(perm[i],perm[rand()%n]);
    
    vector<int>arr1={0},arr2;
    for(int curr=1;curr<n;curr++){
        if(arr2.empty()){
            if(connected(curr,arr1.back()))
                arr1.push_back(curr);
            else
                arr2.push_back(curr);
        }else{
            if(connected(curr,arr1.back()))
                arr1.push_back(curr);
            else if(connected(curr,arr2.back()))
                arr2.push_back(curr);
            else{
                arr1=merge(arr1,arr2);
                arr2={curr};
            }
        }
    }
    
    vector<int>res1=arr1;
    vector<int>res2=arr2;
    
    if(res2.empty()||!connected(res1,res2)){
        if(res1.size()>res2.size())
            return per(res1);
        else
            return per(res2);
    }
    
    if(connected({res1.back(),res1[0]},{res2.back(),res2[0]})){
        if(connected(res1.back(),res2.back()))
            return per(merge(res1,res2));
        reverse(res1.begin(),res1.end());
        if(connected(res1.back(),res2.back()))
            return per(merge(res1,res2));
        reverse(res2.begin(),res2.end());
        if(connected(res1.back(),res2.back()))
            return per(merge(res1,res2));
        reverse(res1.begin(),res1.end());
        if(connected(res1.back(),res2.back()))
            return per(merge(res1,res2));
    }
    
    vector<bool>in_res1(n);
    for(int i:res1)
        in_res1[i]=true;
    
    // both must be cyclical then
    pair<int,int>pr={-1,-1};
    
    for(auto[u,v]:unc){
        if(in_res1[u]==in_res1[v]){
            if(in_res1[u]){
                if(connected(res2[0],u)){
                    pr={u,res2[0]};
                }else{
                    pr={v,res2[0]};
                }
            }else{
                if(connected(res1[0],u)){
                    pr={res1[0],u};
                }else{
                    pr={res1[0],v};
                }
            }
            break;
        }
    }
    
    if(pr.first==-1){
        //cout<<"FINDING\n";
        qc=0;
        pr=find_conn(res1,res2);
        //cout<<"FOUND IN "<<qc<<"\n";
    }
    
    vector<int>r1=cyclic_shift(res1,pr.first);
    vector<int>r2=cyclic_shift(res2,pr.second);
    return per(merge(r1,r2));
}

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 2 ms 344 KB Output is correct

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 344 KB Output is correct
2 Correct 6 ms 344 KB Output is correct
3 Correct 6 ms 344 KB Output is correct
4 Correct 6 ms 344 KB Output is correct
5 Correct 6 ms 344 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 344 KB Output is correct
2 Correct 9 ms 344 KB Output is correct
3 Correct 5 ms 344 KB Output is correct
4 Correct 8 ms 344 KB Output is correct
5 Correct 6 ms 344 KB Output is correct
6 Correct 8 ms 344 KB Output is correct
7 Correct 7 ms 344 KB Output is correct
8 Correct 6 ms 344 KB Output is correct
9 Correct 6 ms 344 KB Output is correct
10 Correct 9 ms 344 KB Output is correct
11 Correct 9 ms 600 KB Output is correct
12 Correct 6 ms 344 KB Output is correct
13 Correct 6 ms 344 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 344 KB Output is correct
2 Correct 6 ms 344 KB Output is correct
3 Correct 6 ms 344 KB Output is correct
4 Correct 7 ms 344 KB Output is correct
5 Correct 6 ms 344 KB Output is correct
6 Correct 8 ms 344 KB Output is correct
7 Correct 7 ms 344 KB Output is correct
8 Correct 5 ms 344 KB Output is correct
9 Correct 6 ms 440 KB Output is correct
10 Correct 6 ms 344 KB Output is correct
11 Correct 7 ms 456 KB Output is correct
12 Correct 6 ms 344 KB Output is correct
13 Correct 6 ms 344 KB Output is correct
14 Correct 9 ms 344 KB Output is correct
15 Correct 8 ms 344 KB Output is correct
16 Correct 8 ms 344 KB Output is correct
17 Correct 11 ms 344 KB Output is correct
18 Correct 7 ms 444 KB Output is correct
19 Correct 11 ms 344 KB Output is correct
20 Correct 7 ms 452 KB Output is correct
21 Correct 9 ms 484 KB Output is correct
22 Correct 8 ms 344 KB Output is correct
23 Correct 7 ms 480 KB Output is correct
24 Correct 7 ms 344 KB Output is correct
25 Correct 8 ms 344 KB Output is correct
26 Correct 8 ms 344 KB Output is correct
27 Correct 7 ms 340 KB Output is correct
28 Correct 8 ms 344 KB Output is correct
29 Correct 7 ms 344 KB Output is correct
30 Correct 9 ms 596 KB Output is correct
31 Correct 7 ms 344 KB Output is correct
32 Correct 8 ms 344 KB Output is correct
33 Correct 6 ms 344 KB Output is correct
34 Correct 6 ms 344 KB Output is correct
35 Correct 9 ms 344 KB Output is correct
36 Correct 6 ms 344 KB Output is correct
37 Correct 10 ms 600 KB Output is correct
38 Correct 11 ms 600 KB Output is correct
39 Correct 10 ms 344 KB Output is correct
40 Correct 10 ms 344 KB Output is correct
41 Correct 11 ms 460 KB Output is correct
42 Correct 10 ms 344 KB Output is correct
43 Correct 12 ms 600 KB Output is correct
44 Correct 10 ms 344 KB Output is correct
45 Correct 13 ms 344 KB Output is correct
46 Correct 11 ms 344 KB Output is correct
47 Correct 11 ms 344 KB Output is correct
48 Correct 9 ms 344 KB Output is correct
49 Correct 9 ms 344 KB Output is correct
50 Correct 8 ms 344 KB Output is correct
51 Correct 8 ms 444 KB Output is correct
52 Correct 9 ms 344 KB Output is correct
53 Correct 7 ms 344 KB Output is correct
54 Correct 6 ms 600 KB Output is correct
55 Correct 8 ms 344 KB Output is correct
56 Correct 8 ms 344 KB Output is correct
57 Correct 8 ms 472 KB Output is correct
58 Correct 14 ms 480 KB Output is correct
59 Correct 11 ms 344 KB Output is correct
60 Correct 12 ms 344 KB Output is correct
61 Correct 12 ms 344 KB Output is correct
62 Correct 11 ms 600 KB Output is correct
63 Correct 11 ms 496 KB Output is correct
64 Correct 12 ms 344 KB Output is correct

Subtask #4
60.0 / 60.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 344 KB Output is correct
2 Correct 6 ms 344 KB Output is correct
3 Correct 5 ms 344 KB Output is correct
4 Correct 6 ms 344 KB Output is correct
5 Correct 6 ms 344 KB Output is correct
6 Correct 13 ms 344 KB Output is correct
7 Correct 7 ms 344 KB Output is correct
8 Correct 6 ms 344 KB Output is correct
9 Correct 8 ms 344 KB Output is correct
10 Correct 7 ms 600 KB Output is correct
11 Correct 10 ms 472 KB Output is correct
12 Correct 7 ms 340 KB Output is correct
13 Correct 7 ms 476 KB Output is correct
14 Correct 8 ms 344 KB Output is correct
15 Correct 8 ms 344 KB Output is correct
16 Correct 11 ms 344 KB Output is correct
17 Correct 7 ms 388 KB Output is correct
18 Correct 8 ms 344 KB Output is correct
19 Correct 10 ms 720 KB Output is correct
20 Correct 7 ms 344 KB Output is correct
21 Correct 7 ms 344 KB Output is correct
22 Correct 7 ms 344 KB Output is correct
23 Correct 6 ms 344 KB Output is correct
24 Correct 6 ms 344 KB Output is correct
25 Correct 6 ms 344 KB Output is correct
26 Correct 6 ms 344 KB Output is correct
27 Correct 7 ms 344 KB Output is correct
28 Correct 10 ms 344 KB Output is correct
29 Correct 6 ms 344 KB Output is correct
30 Correct 6 ms 344 KB Output is correct
31 Correct 6 ms 344 KB Output is correct
32 Correct 9 ms 344 KB Output is correct
33 Correct 12 ms 344 KB Output is correct
34 Correct 12 ms 344 KB Output is correct
35 Correct 11 ms 344 KB Output is correct
36 Correct 12 ms 344 KB Output is correct
37 Correct 6 ms 344 KB Output is correct
38 Correct 8 ms 344 KB Output is correct
39 Correct 10 ms 344 KB Output is correct
40 Correct 6 ms 344 KB Output is correct
41 Correct 7 ms 472 KB Output is correct
42 Correct 8 ms 344 KB Output is correct
43 Correct 8 ms 456 KB Output is correct
44 Correct 11 ms 600 KB Output is correct
45 Correct 10 ms 600 KB Output is correct
46 Correct 8 ms 600 KB Output is correct
47 Correct 6 ms 344 KB Output is correct
48 Correct 7 ms 344 KB Output is correct
49 Correct 11 ms 344 KB Output is correct
50 Correct 11 ms 344 KB Output is correct
51 Correct 11 ms 344 KB Output is correct
52 Correct 11 ms 344 KB Output is correct
53 Correct 10 ms 344 KB Output is correct
54 Correct 15 ms 356 KB Output is correct
55 Correct 9 ms 344 KB Output is correct
56 Correct 8 ms 344 KB Output is correct
57 Correct 10 ms 440 KB Output is correct
58 Correct 11 ms 452 KB Output is correct
59 Correct 10 ms 344 KB Output is correct
60 Correct 10 ms 344 KB Output is correct
61 Correct 10 ms 472 KB Output is correct
62 Correct 7 ms 344 KB Output is correct
63 Correct 7 ms 472 KB Output is correct
64 Correct 10 ms 488 KB Output is correct
65 Correct 15 ms 344 KB Output is correct
66 Correct 10 ms 344 KB Output is correct
67 Correct 11 ms 344 KB Output is correct
68 Correct 11 ms 344 KB Output is correct
69 Correct 14 ms 488 KB Output is correct
70 Correct 11 ms 344 KB Output is correct
71 Correct 8 ms 344 KB Output is correct
72 Correct 12 ms 344 KB Output is correct
73 Correct 12 ms 596 KB Output is correct
74 Correct 11 ms 344 KB Output is correct
75 Correct 11 ms 492 KB Output is correct
76 Correct 12 ms 600 KB Output is correct
77 Correct 8 ms 476 KB Output is correct
78 Correct 14 ms 344 KB Output is correct
79 Correct 11 ms 600 KB Output is correct
80 Correct 12 ms 488 KB Output is correct
81 Correct 11 ms 448 KB Output is correct
82 Correct 13 ms 344 KB Output is correct