Submission #770130

# Submission time Handle Problem Language Result Execution time Memory
770130 2023-06-30T19:36:03 Z canadavid1 Village (BOI20_village) C++17
31 / 100
700 ms 51396 KB
#include <bits/stdc++.h>

using namespace std;

struct Node
{
    unordered_set<Node*> n;
    vector<int> leaf;
    int idx;
    bool exists = true;
    void remove()
    {
        for(auto i : n) i->n.erase(this);
        n.clear();
        exists = false;
    }
};

/*
#define BLOCKSIZE 1024
template<typename T,typename... Args>
T* newT(Args... args)
{
    static T* arr = nullptr;
    static int idx = 0;
    if(idx == BLOCKSIZE)
    {
        arr = new T[BLOCKSIZE];
        idx = 0;
    }
    T* out = &arr[idx];
    out->~T();
    idx++;
    return new(out) T(args ...);
}*/

pair<vector<int>,int> doMin(int N, vector<Node>& house)
{

    if(N==2) return {{0,2,1},2};
    
    // prune leaves
    vector<Node*> leaf;
    for(int i = 1; i <= N; i++)
    {
        house[i].idx = i;
        if(house[i].n.size()>1) continue;
        leaf.push_back(&house[i]);        
    }
    for(auto i : leaf)
    {

        (*begin(i->n))->n.erase(i);
        (*begin(i->n))->leaf.push_back(i->idx);
        i->exists = false;
    }
    vector<Node*> semileaves;
    for(int i = 1; i <= N; i++)
    {
        if (!house[i].exists) continue;
        if (house[i].n.size()<=1) semileaves.push_back(&house[i]);
    }
    vector<int> destinations(N+1);
    int count=0;
    while(semileaves.size())
    {
        auto n = semileaves.back();
        semileaves.pop_back();
        //cerr << "remove semileaf " << n->idx << " with " << n->leaf.size() << " leaves\n";
        while(n->leaf.size()>2)
        {
            auto l1 = n->leaf.back(); n->leaf.pop_back();
            auto l2 = n->leaf.back(); n->leaf.pop_back();
            destinations[l1] = l2;
            destinations[l2] = l1;
            count += 4;
        }
        if(n->leaf.size()==2)
        {
            auto l1 = n->leaf.back(); n->leaf.pop_back();
            auto l2 = n->leaf.back(); n->leaf.pop_back();
            destinations[n->idx] = l1;
            destinations[l1] = l2;
            destinations[l2] = n->idx;
            count += 4;
        }
        else
        { // n->leaf.size() == 1
            auto l1 = n->leaf.back(); n->leaf.pop_back();
            destinations[n->idx] = l1;
            destinations[l1] = n->idx;
            count += 2;
        }
        if (n->n.size()==0) continue;
        auto p = *begin(n->n);
        p->n.erase(n);
        if(p->n.size()==1)
        {
            if(p->leaf.size())
            {
                // make semileaf
                semileaves.push_back(p);
                // done :-)
            }
            else
            {
                // make leaf
                auto p2 = *begin(p->n);
                p->remove();
                p2->leaf.push_back(p->idx);
                if (p2->n.size()==1) semileaves.push_back(p2);
            }
        }
    }
    return {destinations,count};
}


pair<Node*,int> findFurthestNode(Node* s)
{
    queue<pair<Node*,int>> q; q.push({s,0});
    unordered_set<Node*> v;
    pair<Node*,int> s2;
    int size;
    while(q.size())
    {
        tie(s,size) = q.front(); q.pop();
        if(v.count(s)) continue;
        s2 = {s,size};
        v.insert(s);
        for(auto i : s->n) q.push({i,size+1});
    }
    return s2;
}

pair<vector<int>,int> doMax(int N, vector<Node>& house)
{
    if(N==2) return {{0,2,1},2};
    for(int i = 1; i <= N; i++) house[i].idx = i;
    int size = N;
    Node *aHouse = &house[1];
    vector<int> destination(N+1);
    int count = 0;
    while(size > 3)
    {
        auto[s,ignore] = findFurthestNode(aHouse);
        auto[t,d] = findFurthestNode(s);
        destination[s->idx] = t->idx;
        destination[t->idx] = s->idx;
        count += 2*d;
        aHouse = *begin(t->n);
        s->remove();
        t->remove();
        size -= 2;
    }
    if(size==3)
    {
        if(aHouse->n.size()==1) aHouse = *begin(aHouse->n);
        vector<int> h;
        for(auto i : aHouse->n) h.push_back(i->idx);
        destination[h[0]] = h[1];
        destination[h[1]] = aHouse->idx;
        destination[aHouse->idx] = h[0];
        count+=4;
        
    }
    else // size==2
    {
        Node *house2 = *begin(aHouse->n);
        destination[aHouse->idx] = house2->idx;
        destination[house2->idx] = aHouse->idx;
        count+=2;
    }
    return {destination,count};
}


int main()
{
    cin.tie(nullptr)->sync_with_stdio(false);
    int N;
    cin >> N;
    vector<Node> house(N+1);
    vector<Node> house2(N+1);
    for(int i = 1; i < N;i++)
    {
        int a,b;
        cin >> a >> b;
        house[a].n.insert(&house[b]);
        house[b].n.insert(&house[a]);
        house2[a].n.insert(&house2[b]);
        house2[b].n.insert(&house2[a]);
    }
    auto[destinations,count] = doMin(N,house);
    auto[destinations2,count2] = doMax(N,house2);
    cout << count << " " << count2 << "\n";
    for(int i = 1; i <= N; i++) cout << destinations[i] << " "; 
    cout << "\n";
    for(int i = 1; i <= N; i++) cout << destinations2[i] << " "; 
    cout << "\n";
    

}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 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 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 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 1 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Partially correct 4 ms 340 KB Partially correct
2 Partially correct 13 ms 600 KB Partially correct
3 Partially correct 13 ms 596 KB Partially correct
4 Partially correct 52 ms 852 KB Partially correct
5 Correct 52 ms 856 KB Output is correct
6 Correct 51 ms 852 KB Output is correct
7 Correct 53 ms 852 KB Output is correct
8 Correct 51 ms 852 KB Output is correct
9 Correct 49 ms 828 KB Output is correct
10 Correct 46 ms 852 KB Output is correct
11 Correct 48 ms 856 KB Output is correct
12 Correct 42 ms 852 KB Output is correct
13 Correct 42 ms 880 KB Output is correct
14 Correct 45 ms 852 KB Output is correct
15 Correct 35 ms 824 KB Output is correct
16 Correct 53 ms 884 KB Output is correct
17 Correct 50 ms 992 KB Output is correct
18 Correct 42 ms 852 KB Output is correct
19 Correct 56 ms 892 KB Output is correct
20 Partially correct 46 ms 896 KB Partially correct
21 Correct 44 ms 852 KB Output is correct
22 Correct 46 ms 852 KB Output is correct
23 Correct 46 ms 724 KB Output is correct
24 Partially correct 42 ms 852 KB Partially correct
25 Correct 18 ms 596 KB Output is correct
26 Correct 47 ms 852 KB Output is correct
27 Correct 13 ms 616 KB Output is correct
28 Partially correct 46 ms 868 KB Partially correct
29 Correct 45 ms 852 KB Output is correct
30 Correct 44 ms 852 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 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 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 212 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 1 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Partially correct 4 ms 340 KB Partially correct
19 Partially correct 13 ms 600 KB Partially correct
20 Partially correct 13 ms 596 KB Partially correct
21 Partially correct 52 ms 852 KB Partially correct
22 Correct 52 ms 856 KB Output is correct
23 Correct 51 ms 852 KB Output is correct
24 Correct 53 ms 852 KB Output is correct
25 Correct 51 ms 852 KB Output is correct
26 Correct 49 ms 828 KB Output is correct
27 Correct 46 ms 852 KB Output is correct
28 Correct 48 ms 856 KB Output is correct
29 Correct 42 ms 852 KB Output is correct
30 Correct 42 ms 880 KB Output is correct
31 Correct 45 ms 852 KB Output is correct
32 Correct 35 ms 824 KB Output is correct
33 Correct 53 ms 884 KB Output is correct
34 Correct 50 ms 992 KB Output is correct
35 Correct 42 ms 852 KB Output is correct
36 Correct 56 ms 892 KB Output is correct
37 Partially correct 46 ms 896 KB Partially correct
38 Correct 44 ms 852 KB Output is correct
39 Correct 46 ms 852 KB Output is correct
40 Correct 46 ms 724 KB Output is correct
41 Partially correct 42 ms 852 KB Partially correct
42 Correct 18 ms 596 KB Output is correct
43 Correct 47 ms 852 KB Output is correct
44 Correct 13 ms 616 KB Output is correct
45 Partially correct 46 ms 868 KB Partially correct
46 Correct 45 ms 852 KB Output is correct
47 Correct 44 ms 852 KB Output is correct
48 Execution timed out 1079 ms 51396 KB Time limit exceeded
49 Halted 0 ms 0 KB -