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Submission #941069

# Submission time Handle Problem Language Result Execution time Memory
941069 2024-03-08T06:24:11 Z Pacybwoah Village (BOI20_village) C++17
69 / 100
 127 ms 23944 KB 
#include<iostream>
#include<vector>
#include<algorithm>
using namespace std;
vector<vector<int> > graph;
vector<int> match,prem;
vector<vector<int> > dp;
vector<int> sz,ord;
int n;
typedef long long ll;
ll max_cnt=0;
void dfs_min(int node,int parent){
    sz[node]++;
    for(auto x:graph[node]){
        if(x==parent) continue;
        dfs_min(x,node);
        sz[node]+=sz[x];
        dp[node][0]+=max(dp[x][0],dp[x][1]);
    }
    for(auto x:graph[node]){
        if(x==parent) continue;
        if(dp[node][1]<dp[node][0]-max(dp[x][0],dp[x][1])+dp[x][0]+1){
            dp[node][1]=dp[node][0]-max(dp[x][0],dp[x][1])+dp[x][0]+1;
            prem[node]=x;
        }
    }
}
void dfs_match(int node,int parent,bool flag){
    if(flag||dp[node][0]>=dp[node][1]){
        for(auto x:graph[node]){
            if(x==parent) continue;
            dfs_match(x,node,0);
        }
    }
    else{
        match[node]=prem[node];
        match[prem[node]]=node;
        for(auto x:graph[node]){
            if(x==parent) continue;
            if(x==prem[node]) dfs_match(x,node,1);
            else dfs_match(x,node,0);
        }
    }
}
int dfs_cent(int node,int parent){
    for(auto x:graph[node]){
        if(x==parent) continue;
        if(sz[x]>n/2) return dfs_cent(x,node);
    }
    return node;
}
void dfs_sz(int node,int parent){
    sz[node]=1;
    for(auto x:graph[node]){
        if(x==parent) continue;
        dfs_sz(x,node);
        sz[node]+=sz[x];
    }
    if(parent!=0) max_cnt+=2*min(1ll*sz[node],1ll*(n-sz[node]));
}
void dfs_ord(int node,int parent){
    if(parent!=0) ord.push_back(node);
    for(auto x:graph[node]){
        if(x==parent) continue;
        dfs_ord(x,node);
    }
}
int main(){
    cin>>n;
    graph.resize(n+1);
    prem.resize(n+1);
    sz.resize(n+1);
    int a,b;
    for(int i=1;i<n;i++){
        cin>>a>>b;
        graph[a].push_back(b);
        graph[b].push_back(a);
    }
    dp.resize(n+1,vector<int>(2));
    match.resize(n+1,-1);
    dfs_min(1,0);
    dfs_match(1,0,0);
    vector<int> ans_min(n+1);
    for(int i=1;i<=n;i++){
        if(match[i]!=-1){
            ans_min[i]=match[i];
        }
        else ans_min[i]=i;
    }
    int min_cnt=max(dp[1][1],dp[1][0])*2;
    for(int i=1;i<=n;i++){
        if(match[i]==-1){
            swap(ans_min[i],ans_min[graph[i][0]]),min_cnt+=2;
        }
    }
    int cent=dfs_cent(1,0);
    dfs_sz(cent,0);
    sort(graph[cent].begin(),graph[cent].end(),[&](int a,int b){return sz[a]>sz[b];});
    dfs_ord(cent,0);
    vector<int> ans_max(n+1);
    for(int i=1;i<=n;i++) ans_max[i]=i;
    if(n&1){
        for(int i=0;i<n/2;i++) swap(ans_max[ord[i]],ans_max[ord[i+n/2]]);
        swap(ans_max[cent],ans_max[1]);
    }
    else{
        ord.push_back(cent);
        for(int i=0;i<n/2;i++) swap(ans_max[ord[i]],ans_max[ord[i+n/2]]);
    }
    cout<<min_cnt<<" "<<max_cnt<<"\n";
    for(int i=1;i<=n;i++) cout<<ans_min[i]<<" \n"[i==n];
    for(int i=1;i<=n;i++) cout<<ans_max[i]<<" \n"[i==n];
}

Subtask #1
6.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Partially correct 0 ms 348 KB Partially correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 432 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct

Subtask #2
38.0 / 38.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 440 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 1 ms 600 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 344 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 344 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 2 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 344 KB Output is correct
27 Correct 1 ms 348 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 544 KB Output is correct
30 Correct 1 ms 348 KB Output is correct

Subtask #3
25.0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Partially correct 0 ms 348 KB Partially correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 432 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 1 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 440 KB Output is correct
25 Correct 1 ms 344 KB Output is correct
26 Correct 1 ms 600 KB Output is correct
27 Correct 1 ms 604 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 344 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 1 ms 348 KB Output is correct
35 Correct 1 ms 344 KB Output is correct
36 Correct 1 ms 344 KB Output is correct
37 Correct 2 ms 348 KB Output is correct
38 Correct 1 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 1 ms 348 KB Output is correct
42 Correct 1 ms 348 KB Output is correct
43 Correct 1 ms 344 KB Output is correct
44 Correct 1 ms 348 KB Output is correct
45 Correct 1 ms 348 KB Output is correct
46 Correct 1 ms 544 KB Output is correct
47 Correct 1 ms 348 KB Output is correct
48 Correct 78 ms 14792 KB Output is correct
49 Correct 88 ms 16288 KB Output is correct
50 Correct 89 ms 16332 KB Output is correct
51 Correct 66 ms 12756 KB Output is correct
52 Correct 102 ms 16008 KB Output is correct
53 Correct 76 ms 14536 KB Output is correct
54 Correct 53 ms 11744 KB Output is correct
55 Correct 122 ms 23944 KB Output is correct
56 Correct 101 ms 19912 KB Output is correct
57 Correct 97 ms 18380 KB Output is correct
58 Correct 99 ms 17356 KB Output is correct
59 Correct 127 ms 16480 KB Output is correct
60 Correct 82 ms 16448 KB Output is correct
61 Correct 79 ms 16580 KB Output is correct
62 Correct 80 ms 16472 KB Output is correct
63 Correct 82 ms 15680 KB Output is correct
64 Correct 81 ms 16588 KB Output is correct
65 Correct 79 ms 16716 KB Output is correct
66 Correct 72 ms 15568 KB Output is correct
67 Correct 57 ms 12236 KB Output is correct
68 Correct 83 ms 14128 KB Output is correct
69 Correct 82 ms 16664 KB Output is correct
70 Correct 77 ms 15568 KB Output is correct
71 Correct 52 ms 11720 KB Output is correct
72 Correct 61 ms 13264 KB Output is correct
73 Correct 77 ms 16596 KB Output is correct
74 Correct 71 ms 15212 KB Output is correct
75 Correct 91 ms 16136 KB Output is correct
76 Correct 85 ms 16072 KB Output is correct
77 Correct 88 ms 15900 KB Output is correct
78 Correct 54 ms 11004 KB Output is correct
79 Correct 61 ms 12864 KB Output is correct
80 Correct 87 ms 16076 KB Output is correct
81 Correct 83 ms 15816 KB Output is correct
82 Correct 85 ms 16304 KB Output is correct