Submission #416006

# Submission time Handle Problem Language Result Execution time Memory
416006 2021-06-01T19:43:38 Z nicolaalexandra Village (BOI20_village) C++14
100 / 100
151 ms 20420 KB
#include <bits/stdc++.h>
#define DIM 100010
#define INF 2000000000
using namespace std;

vector <int> L[DIM],w[DIM];
int v[DIM],fth[DIM],sp[DIM],f[DIM],viz[DIM];
pair <int,int> d[DIM];
int n,i,x,y,sol_min,k,idx,poz;
long long sol_max;


void dfs (int nod, int tata){
    fth[nod] = tata;
    sp[nod] = 1;
    for (auto vecin : L[nod])
        if (vecin != tata){
            dfs (vecin,nod);
            sp[nod] += sp[vecin];
        }

    if (nod != 1 && v[nod] == nod){

        sol_min += 2;
        swap (v[nod],v[fth[nod]]);

    }

    sol_max += 2 * min (sp[nod],n-sp[nod]);

}

int get_centroid (int nod, int tata){

    int maxim = 0, heavy_son = 0;
    for (auto vecin : L[nod]){
        if (vecin == tata)
            continue;
        if (sp[vecin] > maxim)
            maxim = sp[vecin], heavy_son = vecin;
    }

    if (maxim <= n/2 && n - sp[nod] <= n/2)
        return nod;
    else return get_centroid(heavy_son,nod);

}


void dfs2 (int nod, int idx){
    w[idx].push_back(nod);
    viz[nod] = 1;
    f[nod] = idx;
    for (auto vecin : L[nod])
        if (!viz[vecin])
            dfs2 (vecin,idx);
}

inline int cmp (int a, int b){
    return (int)w[a].size() >= (int)w[b].size();
}

int main (){

    //ifstream cin ("date.in");
    //ofstream cout ("date.out");

    cin>>n;
    for (i=1;i<n;i++){
        cin>>x>>y;
        L[x].push_back(y);
        L[y].push_back(x);
    }

    for (i=1;i<=n;i++)
        v[i] = i;

    dfs (1,0);

    for (i=1;i<=n;i++)
        if (v[i] == i){
            sol_min += 2;
            if (i != 1)
                swap (v[i],v[fth[i]]);
            else swap (v[i],v[L[1][0]]);
        }

    cout<<sol_min<<" "<<sol_max<<"\n";
    for (i=1;i<=n;i++)
        cout<<v[i]<<" ";

    cout<<"\n";

    memset (v,0,sizeof v);
    int centroid = get_centroid(1,0);

    viz[centroid] = 1;
    w[centroid].push_back(centroid);
    d[++k] = make_pair(-1,centroid);

    int mini = n, poz;
    for (auto vecin : L[centroid]){
        dfs2 (vecin,vecin);

        d[++k] = make_pair(-(int)w[vecin].size(),vecin);
        //cout<<w[vecin].size()<<"\n";
    }


    sort (d+1,d+k+1);

    for (int poz=2;poz<=k;poz++){

        int i = w[d[poz].second].size()-1;
        int j = w[d[poz-1].second].size()-1;

        while (i >= 0){

            v[w[d[poz].second][i]] = w[d[poz-1].second][j];

            i--, j --;
        }

    }

    idx = 2, poz = w[d[2].second].size() - 1;

    for (i=1;i<=k;i++){

        for (int j=0;j<w[d[i].second].size();j++){

            v[w[d[i].second][j]] = w[d[idx].second][poz];
            poz--;
            if (poz < 0){
                idx++;
                if (idx > k)
                    idx = 1;
                poz = w[d[idx].second].size()-1;
            }
        }

    }


    for (i=1;i<=n;i++)
        cout<<v[i]<<" ";

    /*for (i=1;i<=n;i++)
        if (v[i] == 0)
            cout<<"a";*/

    return 0;
}

Compilation message

Village.cpp: In function 'int main()':
Village.cpp:130:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  130 |         for (int j=0;j<w[d[i].second].size();j++){
      |                      ~^~~~~~~~~~~~~~~~~~~~~~
Village.cpp:101:9: warning: unused variable 'mini' [-Wunused-variable]
  101 |     int mini = n, poz;
      |         ^~~~
# Verdict Execution time Memory Grader output
1 Correct 4 ms 5324 KB Output is correct
2 Correct 4 ms 5324 KB Output is correct
3 Correct 4 ms 5324 KB Output is correct
4 Correct 4 ms 5324 KB Output is correct
5 Correct 4 ms 5324 KB Output is correct
6 Correct 5 ms 5380 KB Output is correct
7 Correct 6 ms 5324 KB Output is correct
8 Correct 4 ms 5324 KB Output is correct
9 Correct 4 ms 5324 KB Output is correct
10 Correct 4 ms 5380 KB Output is correct
11 Correct 4 ms 5380 KB Output is correct
12 Correct 5 ms 5324 KB Output is correct
13 Correct 5 ms 5372 KB Output is correct
14 Correct 4 ms 5324 KB Output is correct
15 Correct 4 ms 5324 KB Output is correct
16 Correct 4 ms 5324 KB Output is correct
17 Correct 4 ms 5380 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 5376 KB Output is correct
2 Correct 5 ms 5324 KB Output is correct
3 Correct 5 ms 5452 KB Output is correct
4 Correct 5 ms 5452 KB Output is correct
5 Correct 5 ms 5452 KB Output is correct
6 Correct 6 ms 5452 KB Output is correct
7 Correct 5 ms 5452 KB Output is correct
8 Correct 6 ms 5452 KB Output is correct
9 Correct 5 ms 5452 KB Output is correct
10 Correct 6 ms 5452 KB Output is correct
11 Correct 5 ms 5452 KB Output is correct
12 Correct 5 ms 5452 KB Output is correct
13 Correct 5 ms 5380 KB Output is correct
14 Correct 5 ms 5452 KB Output is correct
15 Correct 5 ms 5452 KB Output is correct
16 Correct 6 ms 5384 KB Output is correct
17 Correct 5 ms 5452 KB Output is correct
18 Correct 5 ms 5452 KB Output is correct
19 Correct 5 ms 5452 KB Output is correct
20 Correct 5 ms 5388 KB Output is correct
21 Correct 5 ms 5452 KB Output is correct
22 Correct 6 ms 5452 KB Output is correct
23 Correct 5 ms 5388 KB Output is correct
24 Correct 6 ms 5452 KB Output is correct
25 Correct 5 ms 5324 KB Output is correct
26 Correct 5 ms 5452 KB Output is correct
27 Correct 5 ms 5324 KB Output is correct
28 Correct 5 ms 5452 KB Output is correct
29 Correct 5 ms 5452 KB Output is correct
30 Correct 5 ms 5452 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 4 ms 5324 KB Output is correct
2 Correct 4 ms 5324 KB Output is correct
3 Correct 4 ms 5324 KB Output is correct
4 Correct 4 ms 5324 KB Output is correct
5 Correct 4 ms 5324 KB Output is correct
6 Correct 5 ms 5380 KB Output is correct
7 Correct 6 ms 5324 KB Output is correct
8 Correct 4 ms 5324 KB Output is correct
9 Correct 4 ms 5324 KB Output is correct
10 Correct 4 ms 5380 KB Output is correct
11 Correct 4 ms 5380 KB Output is correct
12 Correct 5 ms 5324 KB Output is correct
13 Correct 5 ms 5372 KB Output is correct
14 Correct 4 ms 5324 KB Output is correct
15 Correct 4 ms 5324 KB Output is correct
16 Correct 4 ms 5324 KB Output is correct
17 Correct 4 ms 5380 KB Output is correct
18 Correct 4 ms 5376 KB Output is correct
19 Correct 5 ms 5324 KB Output is correct
20 Correct 5 ms 5452 KB Output is correct
21 Correct 5 ms 5452 KB Output is correct
22 Correct 5 ms 5452 KB Output is correct
23 Correct 6 ms 5452 KB Output is correct
24 Correct 5 ms 5452 KB Output is correct
25 Correct 6 ms 5452 KB Output is correct
26 Correct 5 ms 5452 KB Output is correct
27 Correct 6 ms 5452 KB Output is correct
28 Correct 5 ms 5452 KB Output is correct
29 Correct 5 ms 5452 KB Output is correct
30 Correct 5 ms 5380 KB Output is correct
31 Correct 5 ms 5452 KB Output is correct
32 Correct 5 ms 5452 KB Output is correct
33 Correct 6 ms 5384 KB Output is correct
34 Correct 5 ms 5452 KB Output is correct
35 Correct 5 ms 5452 KB Output is correct
36 Correct 5 ms 5452 KB Output is correct
37 Correct 5 ms 5388 KB Output is correct
38 Correct 5 ms 5452 KB Output is correct
39 Correct 6 ms 5452 KB Output is correct
40 Correct 5 ms 5388 KB Output is correct
41 Correct 6 ms 5452 KB Output is correct
42 Correct 5 ms 5324 KB Output is correct
43 Correct 5 ms 5452 KB Output is correct
44 Correct 5 ms 5324 KB Output is correct
45 Correct 5 ms 5452 KB Output is correct
46 Correct 5 ms 5452 KB Output is correct
47 Correct 5 ms 5452 KB Output is correct
48 Correct 116 ms 12416 KB Output is correct
49 Correct 129 ms 12992 KB Output is correct
50 Correct 126 ms 13104 KB Output is correct
51 Correct 103 ms 11424 KB Output is correct
52 Correct 135 ms 12960 KB Output is correct
53 Correct 124 ms 12372 KB Output is correct
54 Correct 80 ms 12700 KB Output is correct
55 Correct 151 ms 20420 KB Output is correct
56 Correct 145 ms 16444 KB Output is correct
57 Correct 143 ms 15300 KB Output is correct
58 Correct 137 ms 14148 KB Output is correct
59 Correct 141 ms 13076 KB Output is correct
60 Correct 144 ms 16544 KB Output is correct
61 Correct 132 ms 13992 KB Output is correct
62 Correct 120 ms 13476 KB Output is correct
63 Correct 114 ms 12920 KB Output is correct
64 Correct 131 ms 13396 KB Output is correct
65 Correct 134 ms 13632 KB Output is correct
66 Correct 114 ms 12892 KB Output is correct
67 Correct 92 ms 11716 KB Output is correct
68 Correct 99 ms 12100 KB Output is correct
69 Correct 136 ms 13516 KB Output is correct
70 Correct 119 ms 12996 KB Output is correct
71 Correct 82 ms 10912 KB Output is correct
72 Correct 90 ms 11716 KB Output is correct
73 Correct 128 ms 13572 KB Output is correct
74 Correct 105 ms 12740 KB Output is correct
75 Correct 131 ms 12840 KB Output is correct
76 Correct 134 ms 13040 KB Output is correct
77 Correct 113 ms 12936 KB Output is correct
78 Correct 87 ms 10600 KB Output is correct
79 Correct 100 ms 11456 KB Output is correct
80 Correct 137 ms 12896 KB Output is correct
81 Correct 126 ms 13128 KB Output is correct
82 Correct 122 ms 13152 KB Output is correct