Submission #1051041

# Submission time Handle Problem Language Result Execution time Memory
1051041 2024-08-09T18:44:11 Z Ahmed57 Hard route (IZhO17_road) C++17
100 / 100
474 ms 151696 KB
#include "bits/stdc++.h"

using namespace std;
#define int long long
vector<int> adj[500001];
int mx[500001];
int cnt[500001];
pair<int,int> pref[500001];
long long overMA = 0;
long long overCNT = 1;
void dfs(int i,int pr){
    mx[i] = 0 , cnt[i] = 1;
    for(auto j:adj[i]){
        if(j==pr)continue;
        dfs(j,i);
        if(mx[j]+1>mx[i]){
            mx[i] = mx[j]+1;
            cnt[i] = 0;
        }
        if(mx[j]+1==mx[i]){
            cnt[i]+=cnt[j];
        }
    }
}
void reroot(int i,int pr,int MA,int CNT){
    vector<pair<int,int>> v;
    if(MA)v.push_back({MA,CNT});
    for(auto j:adj[i]){
        if(j==pr)continue;
        v.push_back({mx[j]+1,cnt[j]});
    }
    sort(v.begin(),v.end());
    reverse(v.begin(),v.end());
    if(v.size()>=3){
        int z = v[0].first , y = v[1].first , x = v[2].first;
        long long cost = 0;
        if(x<y&&y<z){
            int A = v[0].second , B = v[1].second , C = v[2].second;
            for(int i = 3;i<v.size();i++)if(v[i].first==x)C+=v[i].second;
            cost = B*C;
        }else if(x<y&&y==z){
            int A = v[0].second , B = v[1].second , C = v[2].second;
            for(int i = 3;i<v.size();i++)if(v[i].first==x)C+=v[i].second;
            cost = (A+B)*C;
        }else if(x==y&&y<z){
            int A = v[0].second , B = v[1].second , C = v[2].second;
            cost = B*C;
            long long sum = B+C;
            for(int i = 3;i<v.size();i++){
                if(v[i].first==x){
                    cost+=sum*v[i].second;
                    sum+=v[i].second;
                }
            }
        }else if(x==y&&y==z){
            int A = v[0].second , B = v[1].second , C = v[2].second;
            cost = A*B+(A+B)*C;
            long long sum = A+B+C;
            for(int i = 3;i<v.size();i++){
                if(v[i].first==x){
                    cost+=sum*v[i].second;
                    sum+=v[i].second;
                }
            }
        }
        if(overMA<(x+y)*z){
            overMA = (x+y)*z;
            overCNT = 0;
        }
        if(overMA==(x+y)*z){
            overCNT+=cost;
        }
    }
    pair<int,int> cur = {MA,CNT};
    for(auto j:adj[i]){
        if(j==pr)continue;
        pref[j] = cur;
        if(mx[j]+1>cur.first){
            cur.first = mx[j]+1;
            cur.second = 0;
        }
        if(mx[j]+1==cur.first){
            cur.second+=cnt[j];
        }
    }
    reverse(adj[i].begin(),adj[i].end());
    cur = {-1e9,0};
    for(auto j:adj[i]){
        if(j==pr)continue;
        if(cur.first>pref[j].first)pref[j] = cur;
        else if(cur.first==pref[j].first)pref[j].second+=cur.second;
        if(mx[j]+1>cur.first){
            cur.first = mx[j]+1;
            cur.second = 0;
        }
        if(mx[j]+1==cur.first){
            cur.second+=cnt[j];
        }
    }
    reverse(adj[i].begin(),adj[i].end());
    for(auto j:adj[i]){
        if(j==pr)continue;
        reroot(j,i,pref[j].first+1,pref[j].second);
    }
}
signed main(){
    int n;
    cin>>n;
    for(int i = 1;i<n;i++){
        int a,b;
        cin>>a>>b;
        adj[a].push_back(b);
        adj[b].push_back(a);
    }
    dfs(1,0);
    reroot(1,0,0,1);
    cout<<overMA<<" "<<overCNT<<endl;
}

Compilation message

road.cpp: In function 'void reroot(long long int, long long int, long long int, long long int)':
road.cpp:39:28: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   39 |             for(int i = 3;i<v.size();i++)if(v[i].first==x)C+=v[i].second;
      |                           ~^~~~~~~~~
road.cpp:38:17: warning: unused variable 'A' [-Wunused-variable]
   38 |             int A = v[0].second , B = v[1].second , C = v[2].second;
      |                 ^
road.cpp:43:28: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   43 |             for(int i = 3;i<v.size();i++)if(v[i].first==x)C+=v[i].second;
      |                           ~^~~~~~~~~
road.cpp:49:28: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   49 |             for(int i = 3;i<v.size();i++){
      |                           ~^~~~~~~~~
road.cpp:46:17: warning: unused variable 'A' [-Wunused-variable]
   46 |             int A = v[0].second , B = v[1].second , C = v[2].second;
      |                 ^
road.cpp:59:28: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   59 |             for(int i = 3;i<v.size();i++){
      |                           ~^~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 17240 KB Output is correct
2 Correct 2 ms 17244 KB Output is correct
3 Correct 2 ms 17244 KB Output is correct
4 Correct 2 ms 17244 KB Output is correct
5 Correct 2 ms 17244 KB Output is correct
6 Correct 2 ms 17244 KB Output is correct
7 Correct 2 ms 17244 KB Output is correct
8 Correct 3 ms 17244 KB Output is correct
9 Correct 2 ms 17244 KB Output is correct
10 Correct 2 ms 17244 KB Output is correct
11 Correct 2 ms 17244 KB Output is correct
12 Correct 3 ms 17244 KB Output is correct
13 Correct 2 ms 17244 KB Output is correct
14 Correct 2 ms 17244 KB Output is correct
15 Correct 2 ms 17244 KB Output is correct
16 Correct 2 ms 17244 KB Output is correct
17 Correct 2 ms 17244 KB Output is correct
18 Correct 2 ms 17244 KB Output is correct
19 Correct 2 ms 17244 KB Output is correct
20 Correct 2 ms 17244 KB Output is correct
21 Correct 2 ms 17244 KB Output is correct
22 Correct 3 ms 17244 KB Output is correct
23 Correct 2 ms 17244 KB Output is correct
24 Correct 2 ms 17244 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 17240 KB Output is correct
2 Correct 2 ms 17244 KB Output is correct
3 Correct 2 ms 17244 KB Output is correct
4 Correct 2 ms 17244 KB Output is correct
5 Correct 2 ms 17244 KB Output is correct
6 Correct 2 ms 17244 KB Output is correct
7 Correct 2 ms 17244 KB Output is correct
8 Correct 3 ms 17244 KB Output is correct
9 Correct 2 ms 17244 KB Output is correct
10 Correct 2 ms 17244 KB Output is correct
11 Correct 2 ms 17244 KB Output is correct
12 Correct 3 ms 17244 KB Output is correct
13 Correct 2 ms 17244 KB Output is correct
14 Correct 2 ms 17244 KB Output is correct
15 Correct 2 ms 17244 KB Output is correct
16 Correct 2 ms 17244 KB Output is correct
17 Correct 2 ms 17244 KB Output is correct
18 Correct 2 ms 17244 KB Output is correct
19 Correct 2 ms 17244 KB Output is correct
20 Correct 2 ms 17244 KB Output is correct
21 Correct 2 ms 17244 KB Output is correct
22 Correct 3 ms 17244 KB Output is correct
23 Correct 2 ms 17244 KB Output is correct
24 Correct 2 ms 17244 KB Output is correct
25 Correct 4 ms 17796 KB Output is correct
26 Correct 4 ms 18012 KB Output is correct
27 Correct 4 ms 18012 KB Output is correct
28 Correct 4 ms 18012 KB Output is correct
29 Correct 4 ms 18012 KB Output is correct
30 Correct 4 ms 18012 KB Output is correct
31 Correct 4 ms 18008 KB Output is correct
32 Correct 4 ms 18012 KB Output is correct
33 Correct 4 ms 17844 KB Output is correct
34 Correct 4 ms 18012 KB Output is correct
35 Correct 4 ms 18108 KB Output is correct
36 Correct 4 ms 18012 KB Output is correct
37 Correct 4 ms 18012 KB Output is correct
38 Correct 4 ms 18524 KB Output is correct
39 Correct 4 ms 17756 KB Output is correct
40 Correct 4 ms 17756 KB Output is correct
41 Correct 4 ms 17500 KB Output is correct
42 Correct 4 ms 17500 KB Output is correct
43 Correct 4 ms 17540 KB Output is correct
44 Correct 4 ms 17500 KB Output is correct
45 Correct 4 ms 17500 KB Output is correct
46 Correct 3 ms 17500 KB Output is correct
47 Correct 4 ms 17500 KB Output is correct
48 Correct 4 ms 17796 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 17240 KB Output is correct
2 Correct 2 ms 17244 KB Output is correct
3 Correct 2 ms 17244 KB Output is correct
4 Correct 2 ms 17244 KB Output is correct
5 Correct 2 ms 17244 KB Output is correct
6 Correct 2 ms 17244 KB Output is correct
7 Correct 2 ms 17244 KB Output is correct
8 Correct 3 ms 17244 KB Output is correct
9 Correct 2 ms 17244 KB Output is correct
10 Correct 2 ms 17244 KB Output is correct
11 Correct 2 ms 17244 KB Output is correct
12 Correct 3 ms 17244 KB Output is correct
13 Correct 2 ms 17244 KB Output is correct
14 Correct 2 ms 17244 KB Output is correct
15 Correct 2 ms 17244 KB Output is correct
16 Correct 2 ms 17244 KB Output is correct
17 Correct 2 ms 17244 KB Output is correct
18 Correct 2 ms 17244 KB Output is correct
19 Correct 2 ms 17244 KB Output is correct
20 Correct 2 ms 17244 KB Output is correct
21 Correct 2 ms 17244 KB Output is correct
22 Correct 3 ms 17244 KB Output is correct
23 Correct 2 ms 17244 KB Output is correct
24 Correct 2 ms 17244 KB Output is correct
25 Correct 4 ms 17796 KB Output is correct
26 Correct 4 ms 18012 KB Output is correct
27 Correct 4 ms 18012 KB Output is correct
28 Correct 4 ms 18012 KB Output is correct
29 Correct 4 ms 18012 KB Output is correct
30 Correct 4 ms 18012 KB Output is correct
31 Correct 4 ms 18008 KB Output is correct
32 Correct 4 ms 18012 KB Output is correct
33 Correct 4 ms 17844 KB Output is correct
34 Correct 4 ms 18012 KB Output is correct
35 Correct 4 ms 18108 KB Output is correct
36 Correct 4 ms 18012 KB Output is correct
37 Correct 4 ms 18012 KB Output is correct
38 Correct 4 ms 18524 KB Output is correct
39 Correct 4 ms 17756 KB Output is correct
40 Correct 4 ms 17756 KB Output is correct
41 Correct 4 ms 17500 KB Output is correct
42 Correct 4 ms 17500 KB Output is correct
43 Correct 4 ms 17540 KB Output is correct
44 Correct 4 ms 17500 KB Output is correct
45 Correct 4 ms 17500 KB Output is correct
46 Correct 3 ms 17500 KB Output is correct
47 Correct 4 ms 17500 KB Output is correct
48 Correct 4 ms 17796 KB Output is correct
49 Correct 353 ms 82472 KB Output is correct
50 Correct 333 ms 89668 KB Output is correct
51 Correct 345 ms 95832 KB Output is correct
52 Correct 329 ms 74168 KB Output is correct
53 Correct 300 ms 95060 KB Output is correct
54 Correct 313 ms 109744 KB Output is correct
55 Correct 283 ms 90992 KB Output is correct
56 Correct 305 ms 99036 KB Output is correct
57 Correct 335 ms 106232 KB Output is correct
58 Correct 320 ms 98128 KB Output is correct
59 Correct 335 ms 97876 KB Output is correct
60 Correct 323 ms 94036 KB Output is correct
61 Correct 473 ms 151696 KB Output is correct
62 Correct 474 ms 133312 KB Output is correct
63 Correct 443 ms 79700 KB Output is correct
64 Correct 446 ms 66904 KB Output is correct
65 Correct 407 ms 58888 KB Output is correct
66 Correct 393 ms 54352 KB Output is correct
67 Correct 382 ms 52052 KB Output is correct
68 Correct 366 ms 50964 KB Output is correct
69 Correct 380 ms 50768 KB Output is correct
70 Correct 364 ms 50492 KB Output is correct
71 Correct 348 ms 50512 KB Output is correct
72 Correct 383 ms 50512 KB Output is correct
73 Correct 368 ms 50840 KB Output is correct
74 Correct 361 ms 51024 KB Output is correct
75 Correct 352 ms 51792 KB Output is correct
76 Correct 353 ms 53120 KB Output is correct
77 Correct 320 ms 56368 KB Output is correct
78 Correct 256 ms 62396 KB Output is correct