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Submission #675870

# Submission time Handle Problem Language Result Execution time Memory
675870 2022-12-28T09:07:26 Z toffeeapple Village (BOI20_village) C++17
100 / 100
 97 ms 20852 KB 
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define ld long double
typedef pair <int, int> pii;
typedef pair <int, bool> pib;
typedef pair <int, pair <int, int> > pip;
typedef pair <pair <int, int>, int> ppi;
#pragma GCC target ("avx2")
#pragma GCC optimization ("O3")
#pragma GCC optimization ("unroll-loops")
#define fi first
#define se second
#define all(x) (x).begin(),(x).end()
#define MP make_pair
#define rep(i,a,b) for (long long i=(a);i<(b);i++)
#define rrep(i,a,b) for (long long i=(a);i>(b);i--)
#define SZ(x) ((long long) sizeof(x))
#define pb push_back  
 
#define fastio ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
#define fileinp freopen("ain.txt","r",stdin);freopen("aout.txt","w",stdout);
 
const int dx[]={1,-1 ,0,0,1,-1,-1,1};
const int dy[]={0,0,1,-1,-1,-1,1,1};
 
const int mod=1e9+7;
const int mod2=998244353;
const int INF=(int)1e18;
const int N=100005;
 
int n,a,b,minans,maxans,cur,ct=1,curval;
int nb[N],minarr[N],maxarr[N],subtree[N];
bool check;
vector<int>adj[N],adj2[N];
vector<pii>temp;
 
void dfs(int x,int p){
    subtree[x]=1;
    for(auto it:adj[x]){
        if(it!=p){
            dfs(it,x);
            subtree[x]+=subtree[it];
        }
    }
}
 
void dfs2(int x,int p,int chk){
    //root tree at centroid
    //adj2 is only for layer under centroid and itself
    if(chk==-1){
        adj2[x].pb(x);
    }else{
        adj2[chk].pb(x);
    }
    for(auto it:adj[x]){
        if(it!=p){
            dfs2(it,x,chk==-1?it:chk);
        }
    }
}
 
signed main(){
    fastio;
    //fileinp;
    cin>>n;
    rep(i,0,n-1){
        cin>>a>>b;
        adj[a].pb(b);
        adj[b].pb(a);
        nb[a]++;nb[b]++;
    }
    queue<int>q;
    rep(i,1,n+1){
        minarr[i]=i;
        if(nb[i]==1){ //leaf
            q.push(i);
        }
    }
    while(!q.empty()){
        cur=q.front();
        q.pop();
        if(minarr[cur]==cur){
            curval=-1;
            for(auto it:adj[cur]){
                if(nb[it]!=0){
                    curval=it;
                    break;
                }
            }
            if(curval==-1){
                swap(minarr[cur],minarr[adj[cur][0]]);
            }else if(curval!=-1){
                swap(minarr[cur],minarr[curval]);
            }
            minans+=2;
        }
        for(auto it:adj[cur]){
            if(nb[it]!=0){
                nb[it]--;nb[cur]--;
                if(nb[it]<=1){
                    q.push(it);
                }
            }
        }
    }
    dfs(1,-1);
    ct=1;
    rep(i,1,n+1){
        if(i>1){
            maxans+=2*(min(subtree[i],n-subtree[i]));
        }
        check=0;
        for(auto it:adj[i]){
            if(subtree[it]<subtree[i]&&subtree[it]>n/2){
                check=1;
            }
        }
        if(n-subtree[i]>n/2){
            check=1;
        }
        if(!check){
            ct=i;//centroid
        }
    }
    //cout<<ct<<'\n';
    dfs2(ct,-1,-1);
    rep(i,1,n+1){
        if(adj2[i].size()>0){
            temp.pb(MP(adj2[i].size(),i));
        }
    }
    sort(all(temp),greater<pii>());
    queue<int>q2;
    rep(i,1,temp.size()){ //skip 0 (biggest subtree)
        for(auto it:adj2[temp[i].se]){
            q2.push(it);
        }
    }
    rep(i,0,temp.size()){
        for(auto it:adj2[temp[i].se]){
            cur=q2.front();
            q2.pop();
            maxarr[it]=cur;
            //cout<<it<<' '<<cur<<'\n';
            q2.push(it);
        }
    }
    cout<<minans<<' '<<maxans<<'\n';
    rep(i,1,n+1){
        cout<<minarr[i]<<' ';
    }
    cout<<'\n';
    rep(i,1,n+1){
        cout<<maxarr[i]<<' ';
    }
    return 0;
}

Compilation message

Village.cpp:10: warning: ignoring '#pragma GCC optimization' [-Wunknown-pragmas]
   10 | #pragma GCC optimization ("O3")
      | 
Village.cpp:11: warning: ignoring '#pragma GCC optimization' [-Wunknown-pragmas]
   11 | #pragma GCC optimization ("unroll-loops")
      | 
Village.cpp: In function 'int main()':
Village.cpp:16:42: 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]
   16 | #define rep(i,a,b) for (long long i=(a);i<(b);i++)
      |                                          ^
Village.cpp:135:5: note: in expansion of macro 'rep'
  135 |     rep(i,1,temp.size()){ //skip 0 (biggest subtree)
      |     ^~~
Village.cpp:16:42: 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]
   16 | #define rep(i,a,b) for (long long i=(a);i<(b);i++)
      |                                          ^
Village.cpp:140:5: note: in expansion of macro 'rep'
  140 |     rep(i,0,temp.size()){
      |     ^~~

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 3 ms 4948 KB Output is correct
3 Correct 3 ms 4948 KB Output is correct
4 Correct 3 ms 4948 KB Output is correct
5 Correct 3 ms 5076 KB Output is correct
6 Correct 3 ms 5028 KB Output is correct
7 Correct 2 ms 5028 KB Output is correct
8 Correct 2 ms 4948 KB Output is correct
9 Correct 4 ms 4948 KB Output is correct
10 Correct 3 ms 4948 KB Output is correct
11 Correct 2 ms 5024 KB Output is correct
12 Correct 3 ms 5028 KB Output is correct
13 Correct 3 ms 4948 KB Output is correct
14 Correct 3 ms 4948 KB Output is correct
15 Correct 2 ms 5028 KB Output is correct
16 Correct 3 ms 4948 KB Output is correct
17 Correct 3 ms 4948 KB Output is correct

Subtask #2
38.0 / 38.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4948 KB Output is correct
2 Correct 3 ms 5076 KB Output is correct
3 Correct 3 ms 5076 KB Output is correct
4 Correct 3 ms 5076 KB Output is correct
5 Correct 3 ms 5076 KB Output is correct
6 Correct 4 ms 5076 KB Output is correct
7 Correct 3 ms 5152 KB Output is correct
8 Correct 3 ms 5032 KB Output is correct
9 Correct 3 ms 5096 KB Output is correct
10 Correct 3 ms 5160 KB Output is correct
11 Correct 3 ms 5076 KB Output is correct
12 Correct 3 ms 5204 KB Output is correct
13 Correct 3 ms 5076 KB Output is correct
14 Correct 3 ms 5076 KB Output is correct
15 Correct 3 ms 5036 KB Output is correct
16 Correct 3 ms 5076 KB Output is correct
17 Correct 3 ms 5076 KB Output is correct
18 Correct 3 ms 5112 KB Output is correct
19 Correct 3 ms 5076 KB Output is correct
20 Correct 4 ms 5028 KB Output is correct
21 Correct 3 ms 5160 KB Output is correct
22 Correct 3 ms 5076 KB Output is correct
23 Correct 3 ms 5036 KB Output is correct
24 Correct 3 ms 5076 KB Output is correct
25 Correct 3 ms 5076 KB Output is correct
26 Correct 3 ms 5076 KB Output is correct
27 Correct 3 ms 5076 KB Output is correct
28 Correct 3 ms 5160 KB Output is correct
29 Correct 3 ms 5076 KB Output is correct
30 Correct 4 ms 5076 KB Output is correct

Subtask #3
50.0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB Output is correct
2 Correct 3 ms 4948 KB Output is correct
3 Correct 3 ms 4948 KB Output is correct
4 Correct 3 ms 4948 KB Output is correct
5 Correct 3 ms 5076 KB Output is correct
6 Correct 3 ms 5028 KB Output is correct
7 Correct 2 ms 5028 KB Output is correct
8 Correct 2 ms 4948 KB Output is correct
9 Correct 4 ms 4948 KB Output is correct
10 Correct 3 ms 4948 KB Output is correct
11 Correct 2 ms 5024 KB Output is correct
12 Correct 3 ms 5028 KB Output is correct
13 Correct 3 ms 4948 KB Output is correct
14 Correct 3 ms 4948 KB Output is correct
15 Correct 2 ms 5028 KB Output is correct
16 Correct 3 ms 4948 KB Output is correct
17 Correct 3 ms 4948 KB Output is correct
18 Correct 4 ms 4948 KB Output is correct
19 Correct 3 ms 5076 KB Output is correct
20 Correct 3 ms 5076 KB Output is correct
21 Correct 3 ms 5076 KB Output is correct
22 Correct 3 ms 5076 KB Output is correct
23 Correct 4 ms 5076 KB Output is correct
24 Correct 3 ms 5152 KB Output is correct
25 Correct 3 ms 5032 KB Output is correct
26 Correct 3 ms 5096 KB Output is correct
27 Correct 3 ms 5160 KB Output is correct
28 Correct 3 ms 5076 KB Output is correct
29 Correct 3 ms 5204 KB Output is correct
30 Correct 3 ms 5076 KB Output is correct
31 Correct 3 ms 5076 KB Output is correct
32 Correct 3 ms 5036 KB Output is correct
33 Correct 3 ms 5076 KB Output is correct
34 Correct 3 ms 5076 KB Output is correct
35 Correct 3 ms 5112 KB Output is correct
36 Correct 3 ms 5076 KB Output is correct
37 Correct 4 ms 5028 KB Output is correct
38 Correct 3 ms 5160 KB Output is correct
39 Correct 3 ms 5076 KB Output is correct
40 Correct 3 ms 5036 KB Output is correct
41 Correct 3 ms 5076 KB Output is correct
42 Correct 3 ms 5076 KB Output is correct
43 Correct 3 ms 5076 KB Output is correct
44 Correct 3 ms 5076 KB Output is correct
45 Correct 3 ms 5160 KB Output is correct
46 Correct 3 ms 5076 KB Output is correct
47 Correct 4 ms 5076 KB Output is correct
48 Correct 62 ms 14536 KB Output is correct
49 Correct 95 ms 15728 KB Output is correct
50 Correct 81 ms 15576 KB Output is correct
51 Correct 52 ms 13284 KB Output is correct
52 Correct 70 ms 15652 KB Output is correct
53 Correct 84 ms 14408 KB Output is correct
54 Correct 42 ms 12680 KB Output is correct
55 Correct 86 ms 20852 KB Output is correct
56 Correct 94 ms 18344 KB Output is correct
57 Correct 90 ms 17360 KB Output is correct
58 Correct 97 ms 16456 KB Output is correct
59 Correct 76 ms 15780 KB Output is correct
60 Correct 75 ms 19832 KB Output is correct
61 Correct 60 ms 16736 KB Output is correct
62 Correct 59 ms 15948 KB Output is correct
63 Correct 74 ms 15560 KB Output is correct
64 Correct 62 ms 16244 KB Output is correct
65 Correct 65 ms 16096 KB Output is correct
66 Correct 64 ms 15484 KB Output is correct
67 Correct 41 ms 13580 KB Output is correct
68 Correct 51 ms 14668 KB Output is correct
69 Correct 85 ms 16228 KB Output is correct
70 Correct 51 ms 15668 KB Output is correct
71 Correct 39 ms 12876 KB Output is correct
72 Correct 51 ms 13972 KB Output is correct
73 Correct 58 ms 16292 KB Output is correct
74 Correct 52 ms 15292 KB Output is correct
75 Correct 74 ms 16032 KB Output is correct
76 Correct 80 ms 15460 KB Output is correct
77 Correct 62 ms 15668 KB Output is correct
78 Correct 52 ms 12364 KB Output is correct
79 Correct 48 ms 13464 KB Output is correct
80 Correct 80 ms 16064 KB Output is correct
81 Correct 71 ms 16288 KB Output is correct
82 Correct 57 ms 15820 KB Output is correct