oj.uz

Submission #885513

# Submission time Handle Problem Language Result Execution time Memory
885513 2023-12-09T22:14:30 Z alexdd Hard route (IZhO17_road) C++17
19 / 100
 2000 ms 236088 KB 
#include<bits/stdc++.h>
using namespace std;

/*ifstream fin("road.in");
ofstream fout("road.out");
#define cin fin
#define cout fout*/

#define int long long
int n;
vector<int> con[500005];
map<int,pair<int,pair<int,int>>> dp[500005];
int root;
int depth[500005];
int siz[500005];
int maxd[500005];
int sus[500005];
int parent[500005];
pair<int,int> mxm = {0,0};
pair<int,pair<int,int>> combine(pair<int,pair<int,int>> x, pair<int,pair<int,int>> y)
{
    if(x.second.second==0)
        return y;
    if(y.second.second==0)
        return x;
    if(x.first > y.first)
        return x;
    if(x.first < y.first)
        return y;
    return {x.first, {x.second.first + y.second.first, x.second.second + y.second.second}};
}
void dfs_init(int nod, int par)
{
    parent[nod]=par;
    siz[nod]=1;
    maxd[nod]=depth[nod];
    for(auto adj:con[nod])
    {
        if(adj!=par)
        {
            depth[adj]=depth[nod]+1;
            dfs_init(adj,nod);
            maxd[nod] = max(maxd[nod], maxd[adj]);
            siz[nod]+=siz[adj];
        }
    }
}
void dfs(int nod)
{
    //cout<<nod<<" start\n";
    int cntc=0;
    set<pair<int,int>> s;
    s.insert({-1,-1});
    for(auto adj:con[nod])
    {
        if(adj!=parent[nod])
        {
            dfs(adj);
            s.insert({maxd[adj], adj});
            cntc++;
        }
    }
    //cout<<nod<<" dfs done\n";
    for(auto adj:con[nod])
    {
        if(adj==parent[nod])
            continue;
        for(auto adj2:con[nod])
        {
            if(adj2==parent[nod] || adj>=adj2)
                continue;
            s.erase({maxd[adj],adj});
            s.erase({maxd[adj2],adj2});
            for(auto it:dp[adj])
            {
                for(auto it2:dp[adj2])
                {
                    pair<int,int> idk = *s.rbegin();
                    ///pair<int,int> aux = {(it.first + it2.first - 2*depth[nod]) * max({it.second.first,it2.second.first,sus[nod],idk.first-depth[nod]}), it.second.second * it2.second.second};
                    int moduri;

                    if(max(sus[nod],idk.first-depth[nod]) == max({it.second.first,it2.second.first,sus[nod],idk.first-depth[nod]}))
                    {
                        moduri = it.second.second.second * it2.second.second.second;
                    }
                    else if(it.second.first > it2.second.first)
                    {
                        moduri = it.second.second.first * it2.second.second.second;
                    }
                    else if(it.second.first < it2.second.first)
                    {
                        moduri = it2.second.second.first * it.second.second.second;
                    }
                    else
                    {
                        moduri = it.second.second.first * it2.second.second.second + it2.second.second.first * it.second.second.second - it.second.second.first * it2.second.second.first;
                    }

                    pair<int,int> aux = {(it.first + it2.first - 2*depth[nod]) * max({it.second.first,it2.second.first,sus[nod],idk.first-depth[nod]}), moduri};
                    if(aux.first > mxm.first)
                        mxm = aux;
                    else if(aux.first == mxm.first)
                        mxm.second += aux.second;
                }
            }
            s.insert({maxd[adj],adj});
            s.insert({maxd[adj2],adj2});
        }
    }
    //cout<<nod<<" mxm calc done\n";
    if(cntc==0)
    {
        dp[nod][depth[nod]] = {0,{1,1}};
    }
    else
    {
        for(auto adj:con[nod])
        {
            if(adj==parent[nod])
                continue;
            s.erase({maxd[adj],adj});
            pair<int,int> idk = *s.rbegin();
            //cout<<nod<<"   "<<adj<<"   "<<idk.first<<" "<<idk.second<<" idk\n";
            for(auto it:dp[adj])
            {
                pair<int,pair<int,int>> x = it.second;
                x.first = max(x.first, idk.first - depth[nod]);
                if(idk.first - depth[nod] >= x.first)
                {
                    x = {idk.first - depth[nod], {x.second.second, x.second.second}};
                }
                dp[nod][it.first] = combine(dp[nod][it.first], x);
            }
            s.insert({maxd[adj],adj});
            //dp[adj].clear();
        }
    }
    //for(auto it:dp[nod])
    //    cout<<nod<<"   "<<it.first<<"  "<<it.second.first<<" "<<it.second.second<<"\n";
    //cout<<nod<<" end\n";
}
void calc_sus()
{
    for(int i=1;i<=n;i++)
    {
        sus[i] = depth[i];
        int prec=i;
        for(int j=parent[i];j!=0;j=parent[j])
        {
            for(auto adj:con[j])
            {
                if(adj!=parent[j] && adj!=prec)
                {
                    sus[i] = max(sus[i], (maxd[adj] - depth[j]) + (depth[i] - depth[j]));
                }
            }
            prec=j;
        }
        //cout<<i<<" "<<sus[i]<<" sus\n";
    }
}
signed main()
{
    ios_base::sync_with_stdio(0);cin.tie(0);
    cin>>n;
    if(n==2)
    {
        cout<<0<<" "<<1;
        return 0;
    }
    int a,b;
    for(int i=1;i<n;i++)
    {
        cin>>a>>b;
        con[a].push_back(b);
        con[b].push_back(a);
    }
    for(int i=n;i>0;i--)
        if((int)con[i].size()>1)
            root=i;
    //cout<<root<<" is the root\n";
    dfs_init(root,0);
    calc_sus();
    dfs(root);
    cout<<mxm.first<<" "<<mxm.second<<"\n";
    return 0;
}
/**

7
1 2
1 3
2 4
2 5
4 6
4 7

*/

Subtask #1
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 42588 KB Output is correct
2 Correct 8 ms 42588 KB Output is correct
3 Correct 9 ms 42712 KB Output is correct
4 Correct 9 ms 42676 KB Output is correct
5 Correct 9 ms 42588 KB Output is correct
6 Correct 8 ms 36444 KB Output is correct
7 Correct 9 ms 42720 KB Output is correct
8 Correct 9 ms 42588 KB Output is correct
9 Correct 8 ms 42584 KB Output is correct
10 Correct 9 ms 42584 KB Output is correct
11 Correct 9 ms 42844 KB Output is correct
12 Correct 10 ms 42844 KB Output is correct
13 Correct 9 ms 42676 KB Output is correct
14 Correct 9 ms 42840 KB Output is correct
15 Correct 9 ms 42584 KB Output is correct
16 Correct 10 ms 42588 KB Output is correct
17 Correct 8 ms 42588 KB Output is correct
18 Correct 8 ms 42588 KB Output is correct
19 Correct 8 ms 42588 KB Output is correct
20 Correct 8 ms 42588 KB Output is correct
21 Correct 8 ms 42764 KB Output is correct
22 Correct 9 ms 42588 KB Output is correct
23 Correct 8 ms 42684 KB Output is correct
24 Correct 10 ms 42588 KB Output is correct

Subtask #2
0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 42588 KB Output is correct
2 Correct 8 ms 42588 KB Output is correct
3 Correct 9 ms 42712 KB Output is correct
4 Correct 9 ms 42676 KB Output is correct
5 Correct 9 ms 42588 KB Output is correct
6 Correct 8 ms 36444 KB Output is correct
7 Correct 9 ms 42720 KB Output is correct
8 Correct 9 ms 42588 KB Output is correct
9 Correct 8 ms 42584 KB Output is correct
10 Correct 9 ms 42584 KB Output is correct
11 Correct 9 ms 42844 KB Output is correct
12 Correct 10 ms 42844 KB Output is correct
13 Correct 9 ms 42676 KB Output is correct
14 Correct 9 ms 42840 KB Output is correct
15 Correct 9 ms 42584 KB Output is correct
16 Correct 10 ms 42588 KB Output is correct
17 Correct 8 ms 42588 KB Output is correct
18 Correct 8 ms 42588 KB Output is correct
19 Correct 8 ms 42588 KB Output is correct
20 Correct 8 ms 42588 KB Output is correct
21 Correct 8 ms 42764 KB Output is correct
22 Correct 9 ms 42588 KB Output is correct
23 Correct 8 ms 42684 KB Output is correct
24 Correct 10 ms 42588 KB Output is correct
25 Correct 34 ms 45916 KB Output is correct
26 Correct 26 ms 44632 KB Output is correct
27 Correct 32 ms 45396 KB Output is correct
28 Correct 27 ms 44400 KB Output is correct
29 Correct 354 ms 196116 KB Output is correct
30 Correct 392 ms 236088 KB Output is correct
31 Correct 385 ms 233160 KB Output is correct
32 Correct 321 ms 176720 KB Output is correct
33 Correct 30 ms 44760 KB Output is correct
34 Correct 35 ms 45404 KB Output is correct
35 Correct 27 ms 44380 KB Output is correct
36 Correct 27 ms 44376 KB Output is correct
37 Correct 40 ms 44372 KB Output is correct
38 Correct 68 ms 45140 KB Output is correct
39 Correct 32 ms 43856 KB Output is correct
40 Correct 26 ms 43604 KB Output is correct
41 Correct 18 ms 43608 KB Output is correct
42 Correct 14 ms 43356 KB Output is correct
43 Correct 15 ms 43316 KB Output is correct
44 Correct 19 ms 43404 KB Output is correct
45 Correct 51 ms 43404 KB Output is correct
46 Correct 151 ms 43376 KB Output is correct
47 Correct 893 ms 43604 KB Output is correct
48 Execution timed out 2058 ms 43604 KB Time limit exceeded
49 Halted 0 ms 0 KB -

Subtask #3
0 / 48.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 42588 KB Output is correct
2 Correct 8 ms 42588 KB Output is correct
3 Correct 9 ms 42712 KB Output is correct
4 Correct 9 ms 42676 KB Output is correct
5 Correct 9 ms 42588 KB Output is correct
6 Correct 8 ms 36444 KB Output is correct
7 Correct 9 ms 42720 KB Output is correct
8 Correct 9 ms 42588 KB Output is correct
9 Correct 8 ms 42584 KB Output is correct
10 Correct 9 ms 42584 KB Output is correct
11 Correct 9 ms 42844 KB Output is correct
12 Correct 10 ms 42844 KB Output is correct
13 Correct 9 ms 42676 KB Output is correct
14 Correct 9 ms 42840 KB Output is correct
15 Correct 9 ms 42584 KB Output is correct
16 Correct 10 ms 42588 KB Output is correct
17 Correct 8 ms 42588 KB Output is correct
18 Correct 8 ms 42588 KB Output is correct
19 Correct 8 ms 42588 KB Output is correct
20 Correct 8 ms 42588 KB Output is correct
21 Correct 8 ms 42764 KB Output is correct
22 Correct 9 ms 42588 KB Output is correct
23 Correct 8 ms 42684 KB Output is correct
24 Correct 10 ms 42588 KB Output is correct
25 Correct 34 ms 45916 KB Output is correct
26 Correct 26 ms 44632 KB Output is correct
27 Correct 32 ms 45396 KB Output is correct
28 Correct 27 ms 44400 KB Output is correct
29 Correct 354 ms 196116 KB Output is correct
30 Correct 392 ms 236088 KB Output is correct
31 Correct 385 ms 233160 KB Output is correct
32 Correct 321 ms 176720 KB Output is correct
33 Correct 30 ms 44760 KB Output is correct
34 Correct 35 ms 45404 KB Output is correct
35 Correct 27 ms 44380 KB Output is correct
36 Correct 27 ms 44376 KB Output is correct
37 Correct 40 ms 44372 KB Output is correct
38 Correct 68 ms 45140 KB Output is correct
39 Correct 32 ms 43856 KB Output is correct
40 Correct 26 ms 43604 KB Output is correct
41 Correct 18 ms 43608 KB Output is correct
42 Correct 14 ms 43356 KB Output is correct
43 Correct 15 ms 43316 KB Output is correct
44 Correct 19 ms 43404 KB Output is correct
45 Correct 51 ms 43404 KB Output is correct
46 Correct 151 ms 43376 KB Output is correct
47 Correct 893 ms 43604 KB Output is correct
48 Execution timed out 2058 ms 43604 KB Time limit exceeded
49 Halted 0 ms 0 KB -