oj.uz

Submission #960760

# Submission time Handle Problem Language Result Execution time Memory
960760 2024-04-11T02:58:07 Z GrindMachine Capital City (JOI20_capital_city) C++17
100 / 100
 526 ms 39632 KB 
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace std;
using namespace __gnu_pbds;

template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;

#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) (int)a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x,y) ((x+y-1)/(y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl

#define rep(i,n) for(int i = 0; i < n; ++i)
#define rep1(i,n) for(int i = 1; i <= n; ++i)
#define rev(i,s,e) for(int i = s; i >= e; --i)
#define trav(i,a) for(auto &i : a)

template<typename T>
void amin(T &a, T b) {
    a = min(a,b);
}

template<typename T>
void amax(T &a, T b) {
    a = max(a,b);
}

#ifdef LOCAL
#include "debug.h"
#else
#define debug(x) 42
#endif

/*

read the solution a long time ago, remember the solution idea

*/

const int MOD = 1e9 + 7;
const int N = 2e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;

vector<int> adj[N];
vector<int> a(N);
vector<int> subsiz(N);
vector<bool> rem(N);
vector<int> par(N);
vector<int> nodes;

void dfs1(int u, int p){
    nodes.pb(u);
    subsiz[u] = 1;
    par[u] = p;
    trav(v,adj[u]){
        if(v == p or rem[v]) conts;
        dfs1(v,u);
        subsiz[u] += subsiz[v];
    }
}

int dfs2(int u, int p, int nodes){
    trav(v,adj[u]){
        if(v == p or rem[v]) conts;
        if(subsiz[v] > nodes/2){
            return dfs2(v,u,nodes);
        }
    }
    return u;
}

vector<int> here[N];
vector<bool> vis(N), done(N);
vector<int> tot_cnt(N);

int go(int u){
    nodes.clear();
    dfs1(u,-1);
    int c = dfs2(u,-1,sz(nodes));
    nodes.clear();
    dfs1(c,-1);

    trav(v,nodes){
        here[a[v]].pb(v);
    }

    queue<int> q;
    q.push(a[c]);
    vis[a[c]] = 1;
    int cols = 0;
    bool ok = true;

    while(!q.empty()){
        int col = q.front();
        q.pop();

        cols++;
        if(sz(here[col]) != tot_cnt[col]){
            ok = false;
        }

        trav(v,here[col]){
            int w = v;
            while(w != -1 and !done[w]){
                if(!vis[a[w]]){
                    q.push(a[w]);
                    vis[a[w]] = 1;
                }

                done[w] = 1;
                w = par[w];
            }
        }
    }

    int ans = inf1;
    if(ok){
        ans = cols-1;
    }

    trav(v,nodes){
        here[a[v]].clear();
        vis[a[v]] = done[v] = 0;
    }
    
    rem[c] = 1;
    
    trav(v,adj[c]){
        if(rem[v]) conts;
        amin(ans,go(v));
    }

    return ans;
}

void solve(int test_case)
{
    int n,k; cin >> n >> k;
    rep1(i,n-1){
        int u,v; cin >> u >> v;
        adj[u].pb(v), adj[v].pb(u);
    }
    rep1(i,n) cin >> a[i];
    rep1(i,n) tot_cnt[a[i]]++;

    int ans = go(1);
    cout << ans << endl;
}

int main()
{
    fastio;

    int t = 1;
    // cin >> t;

    rep1(i, t) {
        solve(i);
    }

    return 0;
}

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 12888 KB Output is correct
2 Correct 5 ms 12892 KB Output is correct
3 Correct 5 ms 12892 KB Output is correct
4 Correct 4 ms 12892 KB Output is correct
5 Correct 4 ms 12888 KB Output is correct
6 Correct 4 ms 12892 KB Output is correct
7 Correct 5 ms 12892 KB Output is correct
8 Correct 5 ms 12892 KB Output is correct
9 Correct 4 ms 12892 KB Output is correct
10 Correct 4 ms 12892 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 12888 KB Output is correct
2 Correct 5 ms 12892 KB Output is correct
3 Correct 5 ms 12892 KB Output is correct
4 Correct 4 ms 12892 KB Output is correct
5 Correct 4 ms 12888 KB Output is correct
6 Correct 4 ms 12892 KB Output is correct
7 Correct 5 ms 12892 KB Output is correct
8 Correct 5 ms 12892 KB Output is correct
9 Correct 4 ms 12892 KB Output is correct
10 Correct 4 ms 12892 KB Output is correct
11 Correct 6 ms 13088 KB Output is correct
12 Correct 5 ms 13148 KB Output is correct
13 Correct 5 ms 12992 KB Output is correct
14 Correct 5 ms 13148 KB Output is correct
15 Correct 5 ms 13148 KB Output is correct
16 Correct 6 ms 13148 KB Output is correct
17 Correct 5 ms 13148 KB Output is correct
18 Correct 5 ms 13148 KB Output is correct
19 Correct 5 ms 13148 KB Output is correct
20 Correct 5 ms 13148 KB Output is correct
21 Correct 5 ms 13148 KB Output is correct
22 Correct 5 ms 13148 KB Output is correct
23 Correct 5 ms 13148 KB Output is correct
24 Correct 5 ms 13148 KB Output is correct
25 Correct 5 ms 13148 KB Output is correct
26 Correct 5 ms 13148 KB Output is correct
27 Correct 5 ms 13148 KB Output is correct
28 Correct 6 ms 13148 KB Output is correct
29 Correct 5 ms 13096 KB Output is correct
30 Correct 5 ms 13148 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 350 ms 35172 KB Output is correct
2 Correct 181 ms 39372 KB Output is correct
3 Correct 332 ms 38852 KB Output is correct
4 Correct 179 ms 39184 KB Output is correct
5 Correct 350 ms 36388 KB Output is correct
6 Correct 173 ms 39428 KB Output is correct
7 Correct 344 ms 36500 KB Output is correct
8 Correct 188 ms 39092 KB Output is correct
9 Correct 440 ms 35052 KB Output is correct
10 Correct 477 ms 33228 KB Output is correct
11 Correct 526 ms 35272 KB Output is correct
12 Correct 468 ms 37688 KB Output is correct
13 Correct 398 ms 32604 KB Output is correct
14 Correct 408 ms 37576 KB Output is correct
15 Correct 474 ms 37808 KB Output is correct
16 Correct 424 ms 33308 KB Output is correct
17 Correct 433 ms 34004 KB Output is correct
18 Correct 430 ms 34104 KB Output is correct
19 Correct 396 ms 36528 KB Output is correct
20 Correct 431 ms 38412 KB Output is correct
21 Correct 4 ms 12892 KB Output is correct

Subtask #4
59.0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 12888 KB Output is correct
2 Correct 5 ms 12892 KB Output is correct
3 Correct 5 ms 12892 KB Output is correct
4 Correct 4 ms 12892 KB Output is correct
5 Correct 4 ms 12888 KB Output is correct
6 Correct 4 ms 12892 KB Output is correct
7 Correct 5 ms 12892 KB Output is correct
8 Correct 5 ms 12892 KB Output is correct
9 Correct 4 ms 12892 KB Output is correct
10 Correct 4 ms 12892 KB Output is correct
11 Correct 6 ms 13088 KB Output is correct
12 Correct 5 ms 13148 KB Output is correct
13 Correct 5 ms 12992 KB Output is correct
14 Correct 5 ms 13148 KB Output is correct
15 Correct 5 ms 13148 KB Output is correct
16 Correct 6 ms 13148 KB Output is correct
17 Correct 5 ms 13148 KB Output is correct
18 Correct 5 ms 13148 KB Output is correct
19 Correct 5 ms 13148 KB Output is correct
20 Correct 5 ms 13148 KB Output is correct
21 Correct 5 ms 13148 KB Output is correct
22 Correct 5 ms 13148 KB Output is correct
23 Correct 5 ms 13148 KB Output is correct
24 Correct 5 ms 13148 KB Output is correct
25 Correct 5 ms 13148 KB Output is correct
26 Correct 5 ms 13148 KB Output is correct
27 Correct 5 ms 13148 KB Output is correct
28 Correct 6 ms 13148 KB Output is correct
29 Correct 5 ms 13096 KB Output is correct
30 Correct 5 ms 13148 KB Output is correct
31 Correct 350 ms 35172 KB Output is correct
32 Correct 181 ms 39372 KB Output is correct
33 Correct 332 ms 38852 KB Output is correct
34 Correct 179 ms 39184 KB Output is correct
35 Correct 350 ms 36388 KB Output is correct
36 Correct 173 ms 39428 KB Output is correct
37 Correct 344 ms 36500 KB Output is correct
38 Correct 188 ms 39092 KB Output is correct
39 Correct 440 ms 35052 KB Output is correct
40 Correct 477 ms 33228 KB Output is correct
41 Correct 526 ms 35272 KB Output is correct
42 Correct 468 ms 37688 KB Output is correct
43 Correct 398 ms 32604 KB Output is correct
44 Correct 408 ms 37576 KB Output is correct
45 Correct 474 ms 37808 KB Output is correct
46 Correct 424 ms 33308 KB Output is correct
47 Correct 433 ms 34004 KB Output is correct
48 Correct 430 ms 34104 KB Output is correct
49 Correct 396 ms 36528 KB Output is correct
50 Correct 431 ms 38412 KB Output is correct
51 Correct 4 ms 12892 KB Output is correct
52 Correct 329 ms 25284 KB Output is correct
53 Correct 287 ms 25440 KB Output is correct
54 Correct 259 ms 25320 KB Output is correct
55 Correct 301 ms 25436 KB Output is correct
56 Correct 262 ms 25444 KB Output is correct
57 Correct 316 ms 25440 KB Output is correct
58 Correct 260 ms 28516 KB Output is correct
59 Correct 262 ms 28612 KB Output is correct
60 Correct 350 ms 28100 KB Output is correct
61 Correct 394 ms 28012 KB Output is correct
62 Correct 170 ms 39632 KB Output is correct
63 Correct 169 ms 39372 KB Output is correct
64 Correct 167 ms 39044 KB Output is correct
65 Correct 187 ms 39408 KB Output is correct
66 Correct 208 ms 32844 KB Output is correct
67 Correct 221 ms 32580 KB Output is correct
68 Correct 237 ms 32924 KB Output is correct
69 Correct 227 ms 32836 KB Output is correct
70 Correct 225 ms 32740 KB Output is correct
71 Correct 236 ms 32524 KB Output is correct
72 Correct 243 ms 32584 KB Output is correct
73 Correct 228 ms 32108 KB Output is correct
74 Correct 229 ms 32680 KB Output is correct
75 Correct 225 ms 32792 KB Output is correct
76 Correct 311 ms 31676 KB Output is correct
77 Correct 279 ms 29900 KB Output is correct
78 Correct 427 ms 33960 KB Output is correct
79 Correct 493 ms 32448 KB Output is correct
80 Correct 459 ms 37784 KB Output is correct
81 Correct 454 ms 35216 KB Output is correct
82 Correct 442 ms 35276 KB Output is correct
83 Correct 456 ms 32972 KB Output is correct
84 Correct 506 ms 37576 KB Output is correct
85 Correct 454 ms 36088 KB Output is correct
86 Correct 454 ms 32296 KB Output is correct
87 Correct 453 ms 33480 KB Output is correct
88 Correct 398 ms 34592 KB Output is correct
89 Correct 354 ms 31372 KB Output is correct
90 Correct 369 ms 31248 KB Output is correct
91 Correct 370 ms 33152 KB Output is correct
92 Correct 363 ms 32324 KB Output is correct
93 Correct 398 ms 31684 KB Output is correct
94 Correct 360 ms 31292 KB Output is correct
95 Correct 340 ms 32456 KB Output is correct
96 Correct 347 ms 31428 KB Output is correct
97 Correct 372 ms 33088 KB Output is correct