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Submission #565815

# Submission time Handle Problem Language Result Execution time Memory
565815 2022-05-21T11:09:01 Z shahriarkhan Village (BOI20_village) C++14
100 / 100
 147 ms 38732 KB 
#include<bits/stdc++.h>
using namespace std ;

const int MX = 1e5 + 5 , INF = 1e9 + 5 , LG = 25 ;

int dp[MX][2] , mn[MX] ;

vector<int> adj[MX] ;

vector<pair<int,int> > pick[MX][2] ;

void dfs(int s , int p)
{
    int sum = 0 , good = 0 , leaf = 1 , rd = 0 , pos = 0 , idx = 0 ;
    dp[s][0] = 0 , dp[s][1] = INF ;
    for(int t : adj[s])
    {
        if(t==p) continue ;
        dfs(t,s) , leaf = 0 ;
        dp[s][0] = min(dp[s][0] + dp[t][1] , INF) , pick[s][0].push_back({t,1}) ;
        if((dp[t][0]+2)<=dp[t][1])
        {
            sum += dp[t][0] + 2 , pick[s][1].push_back({t,0}) , ++pos ;
            good = 1 ;
        }
        else
        {
            if(dp[t][0]<dp[t][1])
            {
                rd = t ;
                idx = pos ;
            }
            sum += dp[t][1] , pick[s][1].push_back({t,1}) , ++pos;
        }
    }
    if(!leaf)
    {
        if(!good)
        {
            if(rd)
            {
                pick[s][1].erase(pick[s][1].begin()+idx) ;
                pick[s][1].push_back({rd,0}) ;
                sum -= dp[rd][1] ;
                sum += dp[rd][0] + 2 ;
            }
            else
            {
                pick[s][1][0].second = 2 ;
                sum += 2 ;
            }
        }
        dp[s][1] = sum ;
    }
}

void build(int s , int c)
{
    if(c==2) c = 1 ;
    for(pair<int,int> p : pick[s][c])
    {
        build(p.first,p.second) ;
        if(p.second!=1) swap(mn[p.first],mn[s]) ;
    }
}

struct centroid_tree
{
    long long cst = 0 ;
    int N = 0 ;
    vector<int> S ;
    vector<vector<int> > adj ;
    vector<int> sub , centroid , mx , par ;
    void init(int n , vector<int> f[])
    {
        N = n ;
        adj = vector<vector<int> > (n+2) ;
        sub = vector<int> (n+2,0) ;
        mx = vector<int> (n+2,0) ;
        par = vector<int> (n+2,0) ;
        centroid = vector<int> (n+2,0) ;
        for(int i = 1 ; i <= n ; ++i)
        {
            mx[i] = i ;
            for(int j : f[i])
            {
                adj[i].push_back(j) ;
            }
        }
        find_ans() ;
    }
    void find_siz(int s , int p)
    {
        sub[s] = 1 ;
        for(int t : adj[s])
        {
            if(t==p) continue ;
            if(centroid[t]) continue ;
            find_siz(t,s) ;
            sub[s] += sub[t] ;
        }
        for(int t : adj[s])
        {
            if(t==p) continue ;
            cst += min(sub[t],N-sub[t]) ;
        }
    }
    int find_centroid(int s , int p , int n)
    {
        for(int t : adj[s])
        {
            if(t==p) continue ;
            if(centroid[t]) continue ;
            if(sub[t]>(n/2)) return find_centroid(t,s,n) ;
        }
        return s ;
    }

    void topsort(int s , int p)
    {
        for(int t : adj[s])
        {
            if(t==p) continue ;
            topsort(t,s) ;
        }
        S.push_back(s) ;
    }
    void find_ans()
    {
        find_siz(1,0) ;
        int C = find_centroid(1,0,sub[1]) ;
        topsort(C,0) ;
        reverse(S.begin(),S.end()) ;
        for(int i = 0 ; i < (N/2) ; ++i)
        {
            swap(mx[S[i]],mx[S[(i+(N/2))%N]]) ;
        }
        if(N&1) swap(mx[S[N/2]],mx[S[N-1]]) ;
    }
};

int main()
{
    int n ;
    scanf("%d",&n) ;
    for(int i = 1 ; i < n ; ++i)
    {
        int x , y ;
        scanf("%d%d",&x,&y) ;
        adj[x].push_back(y) ;
        adj[y].push_back(x) ;
    }
    for(int i = 1 ; i <= n ; ++i)
    {
        mn[i] = i ;
    }
    dfs(1,0) ;
    build(1,1) ;
    centroid_tree C ;
    C.init(n,adj) ;
    printf("%d %lld\n",dp[1][1],2*C.cst) ;
    for(int i = 1 ; i <= n ; ++i)
    {
        printf("%d ",mn[i]) ;
    }
    printf("\n") ;
    for(int i = 1 ; i <= n ; ++i)
    {
        printf("%d ",C.mx[i]) ;
    }
    printf("\n") ;
    return 0 ;
}

Compilation message

Village.cpp: In function 'int main()':
Village.cpp:145:10: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  145 |     scanf("%d",&n) ;
      |     ~~~~~^~~~~~~~~
Village.cpp:149:14: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  149 |         scanf("%d%d",&x,&y) ;
      |         ~~~~~^~~~~~~~~~~~~~

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 7252 KB Output is correct
2 Correct 4 ms 7252 KB Output is correct
3 Correct 4 ms 7252 KB Output is correct
4 Correct 3 ms 7252 KB Output is correct
5 Correct 3 ms 7236 KB Output is correct
6 Correct 4 ms 7252 KB Output is correct
7 Correct 4 ms 7252 KB Output is correct
8 Correct 3 ms 7252 KB Output is correct
9 Correct 3 ms 7252 KB Output is correct
10 Correct 4 ms 7260 KB Output is correct
11 Correct 4 ms 7252 KB Output is correct
12 Correct 4 ms 7252 KB Output is correct
13 Correct 4 ms 7252 KB Output is correct
14 Correct 3 ms 7252 KB Output is correct
15 Correct 4 ms 7252 KB Output is correct
16 Correct 4 ms 7252 KB Output is correct
17 Correct 4 ms 7252 KB Output is correct

Subtask #2
38.0 / 38.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 7380 KB Output is correct
2 Correct 4 ms 7436 KB Output is correct
3 Correct 4 ms 7380 KB Output is correct
4 Correct 5 ms 7508 KB Output is correct
5 Correct 6 ms 7508 KB Output is correct
6 Correct 6 ms 7508 KB Output is correct
7 Correct 5 ms 7608 KB Output is correct
8 Correct 5 ms 7508 KB Output is correct
9 Correct 4 ms 7508 KB Output is correct
10 Correct 6 ms 7456 KB Output is correct
11 Correct 5 ms 7508 KB Output is correct
12 Correct 5 ms 7508 KB Output is correct
13 Correct 4 ms 7508 KB Output is correct
14 Correct 4 ms 7508 KB Output is correct
15 Correct 4 ms 7380 KB Output is correct
16 Correct 4 ms 7508 KB Output is correct
17 Correct 5 ms 7380 KB Output is correct
18 Correct 5 ms 7508 KB Output is correct
19 Correct 4 ms 7508 KB Output is correct
20 Correct 4 ms 7508 KB Output is correct
21 Correct 4 ms 7508 KB Output is correct
22 Correct 5 ms 7508 KB Output is correct
23 Correct 5 ms 7508 KB Output is correct
24 Correct 5 ms 7380 KB Output is correct
25 Correct 4 ms 7380 KB Output is correct
26 Correct 4 ms 7508 KB Output is correct
27 Correct 4 ms 7380 KB Output is correct
28 Correct 5 ms 7508 KB Output is correct
29 Correct 5 ms 7508 KB Output is correct
30 Correct 4 ms 7508 KB Output is correct

Subtask #3
50.0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 7252 KB Output is correct
2 Correct 4 ms 7252 KB Output is correct
3 Correct 4 ms 7252 KB Output is correct
4 Correct 3 ms 7252 KB Output is correct
5 Correct 3 ms 7236 KB Output is correct
6 Correct 4 ms 7252 KB Output is correct
7 Correct 4 ms 7252 KB Output is correct
8 Correct 3 ms 7252 KB Output is correct
9 Correct 3 ms 7252 KB Output is correct
10 Correct 4 ms 7260 KB Output is correct
11 Correct 4 ms 7252 KB Output is correct
12 Correct 4 ms 7252 KB Output is correct
13 Correct 4 ms 7252 KB Output is correct
14 Correct 3 ms 7252 KB Output is correct
15 Correct 4 ms 7252 KB Output is correct
16 Correct 4 ms 7252 KB Output is correct
17 Correct 4 ms 7252 KB Output is correct
18 Correct 4 ms 7380 KB Output is correct
19 Correct 4 ms 7436 KB Output is correct
20 Correct 4 ms 7380 KB Output is correct
21 Correct 5 ms 7508 KB Output is correct
22 Correct 6 ms 7508 KB Output is correct
23 Correct 6 ms 7508 KB Output is correct
24 Correct 5 ms 7608 KB Output is correct
25 Correct 5 ms 7508 KB Output is correct
26 Correct 4 ms 7508 KB Output is correct
27 Correct 6 ms 7456 KB Output is correct
28 Correct 5 ms 7508 KB Output is correct
29 Correct 5 ms 7508 KB Output is correct
30 Correct 4 ms 7508 KB Output is correct
31 Correct 4 ms 7508 KB Output is correct
32 Correct 4 ms 7380 KB Output is correct
33 Correct 4 ms 7508 KB Output is correct
34 Correct 5 ms 7380 KB Output is correct
35 Correct 5 ms 7508 KB Output is correct
36 Correct 4 ms 7508 KB Output is correct
37 Correct 4 ms 7508 KB Output is correct
38 Correct 4 ms 7508 KB Output is correct
39 Correct 5 ms 7508 KB Output is correct
40 Correct 5 ms 7508 KB Output is correct
41 Correct 5 ms 7380 KB Output is correct
42 Correct 4 ms 7380 KB Output is correct
43 Correct 4 ms 7508 KB Output is correct
44 Correct 4 ms 7380 KB Output is correct
45 Correct 5 ms 7508 KB Output is correct
46 Correct 5 ms 7508 KB Output is correct
47 Correct 4 ms 7508 KB Output is correct
48 Correct 96 ms 22696 KB Output is correct
49 Correct 109 ms 24300 KB Output is correct
50 Correct 110 ms 24252 KB Output is correct
51 Correct 83 ms 20580 KB Output is correct
52 Correct 123 ms 24076 KB Output is correct
53 Correct 109 ms 22340 KB Output is correct
54 Correct 59 ms 22608 KB Output is correct
55 Correct 143 ms 38732 KB Output is correct
56 Correct 147 ms 30572 KB Output is correct
57 Correct 143 ms 28488 KB Output is correct
58 Correct 130 ms 26716 KB Output is correct
59 Correct 108 ms 24124 KB Output is correct
60 Correct 77 ms 23100 KB Output is correct
61 Correct 79 ms 23248 KB Output is correct
62 Correct 81 ms 23228 KB Output is correct
63 Correct 84 ms 22284 KB Output is correct
64 Correct 90 ms 23692 KB Output is correct
65 Correct 83 ms 23752 KB Output is correct
66 Correct 79 ms 22532 KB Output is correct
67 Correct 60 ms 19168 KB Output is correct
68 Correct 68 ms 21224 KB Output is correct
69 Correct 81 ms 23848 KB Output is correct
70 Correct 78 ms 22748 KB Output is correct
71 Correct 54 ms 18628 KB Output is correct
72 Correct 65 ms 20372 KB Output is correct
73 Correct 88 ms 23908 KB Output is correct
74 Correct 74 ms 22384 KB Output is correct
75 Correct 117 ms 23460 KB Output is correct
76 Correct 104 ms 23416 KB Output is correct
77 Correct 88 ms 23552 KB Output is correct
78 Correct 60 ms 18108 KB Output is correct
79 Correct 75 ms 19536 KB Output is correct
80 Correct 108 ms 23504 KB Output is correct
81 Correct 91 ms 23812 KB Output is correct
82 Correct 84 ms 22708 KB Output is correct