oj.uz

Submission #1014315

# Submission time Handle Problem Language Result Execution time Memory
1014315 2024-07-04T16:25:20 Z alexdd Capital City (JOI20_capital_city) C++17
100 / 100
 419 ms 42620 KB 
#include<bits/stdc++.h>
using namespace std;
const int INF = 1e9;
int n,k,rez=INF;
vector<int> con[200005];
int color[200005];
int fr[200005];
int siz[200005];
bool iss[200005];
bool hascol[200005];
bool bagat[200005];
vector<int> ofcol[200005];
vector<int> active;
int parent[200005];
void get_sizes(int nod, int par)
{
    if(ofcol[color[nod]].empty()) active.push_back(color[nod]);
    ofcol[color[nod]].push_back(nod);
    siz[nod]=1;
    bagat[color[nod]]=0;
    hascol[nod]=0;
    for(auto adj:con[nod])
    {
        if(adj!=par && !iss[adj])
        {
            get_sizes(adj,nod);
            siz[nod]+=siz[adj];
        }
    }
}
int get_centroid(int nod, int par, int tot)
{
    for(auto adj:con[nod])
        if(adj!=par && !iss[adj] && 2*siz[adj]>tot)
            return get_centroid(adj,nod,tot);
    return nod;
}
void dfs_parent(int nod)
{
    for(auto adj:con[nod])
    {
        if(!iss[adj] && adj!=parent[nod])
        {
            parent[adj]=nod;
            dfs_parent(adj);
        }
    }
}
int cate;
void baga_color(int col);
void baga_nod(int nod)
{
    if(hascol[nod])
        return;
    hascol[nod]=1;
    baga_color(color[nod]);
    if(parent[nod]!=-1 && !hascol[parent[nod]])
        baga_nod(parent[nod]);
}
void baga_color(int col)
{
    if(bagat[col])
        return;
    cate++;
    if((int)ofcol[col].size() != fr[col])
        cate=INF;
    bagat[col]=1;
    for(auto x:ofcol[col])
    {
        baga_nod(x);
    }
}
void centroid_decomposition(int c)
{
    get_sizes(c,-1);
    c = get_centroid(c,-1,siz[c]);

    if((int)ofcol[color[c]].size()==fr[color[c]])
    {
        parent[c]=-1;
        dfs_parent(c);
        cate=0;
        baga_color(color[c]);
        rez = min(rez, cate-1);
    }

    for(auto x:active)
        ofcol[x].clear();
    active.clear();

    iss[c]=1;
    for(auto adj:con[c])
        if(!iss[adj])
            centroid_decomposition(adj);
}
signed main()
{
    cin>>n>>k;
    int a,b;
    for(int i=1;i<n;i++)
    {
        cin>>a>>b;
        con[a].push_back(b);
        con[b].push_back(a);
    }
    for(int i=1;i<=n;i++)
    {
        cin>>color[i];
        fr[color[i]]++;
    }
    centroid_decomposition(1);
    cout<<rez;
    return 0;
}

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 13144 KB Output is correct
2 Correct 2 ms 13148 KB Output is correct
3 Correct 2 ms 13148 KB Output is correct
4 Correct 2 ms 13148 KB Output is correct
5 Correct 2 ms 13148 KB Output is correct
6 Correct 2 ms 13148 KB Output is correct
7 Correct 2 ms 13148 KB Output is correct
8 Correct 2 ms 13148 KB Output is correct
9 Correct 2 ms 13148 KB Output is correct
10 Correct 2 ms 13148 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 13144 KB Output is correct
2 Correct 2 ms 13148 KB Output is correct
3 Correct 2 ms 13148 KB Output is correct
4 Correct 2 ms 13148 KB Output is correct
5 Correct 2 ms 13148 KB Output is correct
6 Correct 2 ms 13148 KB Output is correct
7 Correct 2 ms 13148 KB Output is correct
8 Correct 2 ms 13148 KB Output is correct
9 Correct 2 ms 13148 KB Output is correct
10 Correct 2 ms 13148 KB Output is correct
11 Correct 4 ms 13404 KB Output is correct
12 Correct 4 ms 13352 KB Output is correct
13 Correct 4 ms 13404 KB Output is correct
14 Correct 4 ms 13404 KB Output is correct
15 Correct 3 ms 13404 KB Output is correct
16 Correct 4 ms 13464 KB Output is correct
17 Correct 3 ms 13404 KB Output is correct
18 Correct 4 ms 13404 KB Output is correct
19 Correct 3 ms 13400 KB Output is correct
20 Correct 4 ms 13404 KB Output is correct
21 Correct 3 ms 13404 KB Output is correct
22 Correct 3 ms 13660 KB Output is correct
23 Correct 3 ms 13388 KB Output is correct
24 Correct 4 ms 13404 KB Output is correct
25 Correct 5 ms 13356 KB Output is correct
26 Correct 4 ms 13640 KB Output is correct
27 Correct 4 ms 13404 KB Output is correct
28 Correct 3 ms 13404 KB Output is correct
29 Correct 4 ms 13404 KB Output is correct
30 Correct 6 ms 13608 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 249 ms 42072 KB Output is correct
2 Correct 174 ms 42620 KB Output is correct
3 Correct 262 ms 42012 KB Output is correct
4 Correct 184 ms 42440 KB Output is correct
5 Correct 246 ms 38604 KB Output is correct
6 Correct 186 ms 42444 KB Output is correct
7 Correct 253 ms 39372 KB Output is correct
8 Correct 178 ms 42148 KB Output is correct
9 Correct 336 ms 37072 KB Output is correct
10 Correct 312 ms 34508 KB Output is correct
11 Correct 314 ms 37596 KB Output is correct
12 Correct 317 ms 40140 KB Output is correct
13 Correct 321 ms 34304 KB Output is correct
14 Correct 306 ms 40400 KB Output is correct
15 Correct 335 ms 40124 KB Output is correct
16 Correct 344 ms 35128 KB Output is correct
17 Correct 330 ms 35792 KB Output is correct
18 Correct 289 ms 35788 KB Output is correct
19 Correct 316 ms 39120 KB Output is correct
20 Correct 338 ms 41552 KB Output is correct
21 Correct 2 ms 13148 KB Output is correct

Subtask #4
59.0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 13144 KB Output is correct
2 Correct 2 ms 13148 KB Output is correct
3 Correct 2 ms 13148 KB Output is correct
4 Correct 2 ms 13148 KB Output is correct
5 Correct 2 ms 13148 KB Output is correct
6 Correct 2 ms 13148 KB Output is correct
7 Correct 2 ms 13148 KB Output is correct
8 Correct 2 ms 13148 KB Output is correct
9 Correct 2 ms 13148 KB Output is correct
10 Correct 2 ms 13148 KB Output is correct
11 Correct 4 ms 13404 KB Output is correct
12 Correct 4 ms 13352 KB Output is correct
13 Correct 4 ms 13404 KB Output is correct
14 Correct 4 ms 13404 KB Output is correct
15 Correct 3 ms 13404 KB Output is correct
16 Correct 4 ms 13464 KB Output is correct
17 Correct 3 ms 13404 KB Output is correct
18 Correct 4 ms 13404 KB Output is correct
19 Correct 3 ms 13400 KB Output is correct
20 Correct 4 ms 13404 KB Output is correct
21 Correct 3 ms 13404 KB Output is correct
22 Correct 3 ms 13660 KB Output is correct
23 Correct 3 ms 13388 KB Output is correct
24 Correct 4 ms 13404 KB Output is correct
25 Correct 5 ms 13356 KB Output is correct
26 Correct 4 ms 13640 KB Output is correct
27 Correct 4 ms 13404 KB Output is correct
28 Correct 3 ms 13404 KB Output is correct
29 Correct 4 ms 13404 KB Output is correct
30 Correct 6 ms 13608 KB Output is correct
31 Correct 249 ms 42072 KB Output is correct
32 Correct 174 ms 42620 KB Output is correct
33 Correct 262 ms 42012 KB Output is correct
34 Correct 184 ms 42440 KB Output is correct
35 Correct 246 ms 38604 KB Output is correct
36 Correct 186 ms 42444 KB Output is correct
37 Correct 253 ms 39372 KB Output is correct
38 Correct 178 ms 42148 KB Output is correct
39 Correct 336 ms 37072 KB Output is correct
40 Correct 312 ms 34508 KB Output is correct
41 Correct 314 ms 37596 KB Output is correct
42 Correct 317 ms 40140 KB Output is correct
43 Correct 321 ms 34304 KB Output is correct
44 Correct 306 ms 40400 KB Output is correct
45 Correct 335 ms 40124 KB Output is correct
46 Correct 344 ms 35128 KB Output is correct
47 Correct 330 ms 35792 KB Output is correct
48 Correct 289 ms 35788 KB Output is correct
49 Correct 316 ms 39120 KB Output is correct
50 Correct 338 ms 41552 KB Output is correct
51 Correct 2 ms 13148 KB Output is correct
52 Correct 192 ms 26132 KB Output is correct
53 Correct 225 ms 26192 KB Output is correct
54 Correct 199 ms 26192 KB Output is correct
55 Correct 199 ms 26144 KB Output is correct
56 Correct 202 ms 26196 KB Output is correct
57 Correct 208 ms 26240 KB Output is correct
58 Correct 232 ms 28872 KB Output is correct
59 Correct 221 ms 29388 KB Output is correct
60 Correct 248 ms 28620 KB Output is correct
61 Correct 240 ms 28084 KB Output is correct
62 Correct 188 ms 42508 KB Output is correct
63 Correct 178 ms 42440 KB Output is correct
64 Correct 175 ms 42188 KB Output is correct
65 Correct 186 ms 42388 KB Output is correct
66 Correct 185 ms 33864 KB Output is correct
67 Correct 175 ms 33880 KB Output is correct
68 Correct 199 ms 33872 KB Output is correct
69 Correct 176 ms 33864 KB Output is correct
70 Correct 177 ms 33608 KB Output is correct
71 Correct 184 ms 33764 KB Output is correct
72 Correct 203 ms 33604 KB Output is correct
73 Correct 172 ms 32840 KB Output is correct
74 Correct 187 ms 33896 KB Output is correct
75 Correct 172 ms 33740 KB Output is correct
76 Correct 262 ms 32456 KB Output is correct
77 Correct 258 ms 30804 KB Output is correct
78 Correct 300 ms 35536 KB Output is correct
79 Correct 326 ms 33996 KB Output is correct
80 Correct 338 ms 40656 KB Output is correct
81 Correct 327 ms 37328 KB Output is correct
82 Correct 324 ms 37328 KB Output is correct
83 Correct 290 ms 33996 KB Output is correct
84 Correct 316 ms 39868 KB Output is correct
85 Correct 336 ms 38368 KB Output is correct
86 Correct 337 ms 33728 KB Output is correct
87 Correct 316 ms 35276 KB Output is correct
88 Correct 304 ms 36560 KB Output is correct
89 Correct 303 ms 32368 KB Output is correct
90 Correct 330 ms 32216 KB Output is correct
91 Correct 319 ms 34764 KB Output is correct
92 Correct 419 ms 32596 KB Output is correct
93 Correct 276 ms 32436 KB Output is correct
94 Correct 303 ms 31692 KB Output is correct
95 Correct 290 ms 33996 KB Output is correct
96 Correct 302 ms 32716 KB Output is correct
97 Correct 307 ms 34504 KB Output is correct