oj.uz

Submission #938994

# Submission time Handle Problem Language Result Execution time Memory
938994 2024-03-06T03:02:29 Z Whisper Capital City (JOI20_capital_city) C++17
100 / 100
 569 ms 44820 KB 
#include <bits/stdc++.h>

using namespace std;
using ll = long long;

#define int long long
#define FOR(i, a, b) for ( int i = a ; i <= b ; i++ )
#define FORD(i, a, b) for (int i = b; i >= a; i --)
#define REP(i, n) for (int i = 0; i < n; ++i)
#define REPD(i, n) for (int i = n - 1; i >= 0; --i)
#define Lg(x) 31 - __builtin_clz(x)

#define MASK(i) (1LL << (i))
#define BIT(x, i) (((x) >> (i)) & 1)

constexpr ll LINF = (1ll << 60);
constexpr int INF = (1ll << 30);
constexpr int MAX = 2e5 + 5;
constexpr int Mod = 1e9 + 7;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

void setupIO(){
    #define name "Whisper"
    //Phu Trong from Nguyen Tat Thanh High School for gifted student
    srand(time(NULL));
    cin.tie(nullptr)->sync_with_stdio(false); cout.tie(nullptr);
    //freopen(name".inp", "r", stdin);
    //freopen(name".out", "w", stdout);
    cout << fixed << setprecision(10);
}

template <class X, class Y>
    bool minimize(X &x, const Y &y){
        X eps = 1e-9;
        if (x > y + eps) {x = y; return 1;}
        return 0;
    }

template <class X, class Y>
    bool maximize(X &x, const Y &y){
        X eps = 1e-9;
        if (x + eps < y) {x = y; return 1;}
        return 0;
    }
int numNode, numCity;
vector<int> G[MAX];
int C[MAX];
int sz[MAX], del[MAX];
void reSubsize(int u, int p = -1){
    sz[u] = 1;
    for (int &v : G[u])if (v ^ p){
        if (del[v]) continue;
        reSubsize(v, u);
        sz[u] += sz[v];
    }
}
int getCentroid(int u, int p, int siz){
    for (int &v : G[u]) if(v ^ p){
        if (2 * sz[v] > siz && !del[v]) return getCentroid(v, u, siz);
    }
    return u;
}
int cnt[MAX], vis[MAX], par[MAX];
vector<int> color[MAX];
void dfs(int u, int p, bool ok){
    if (ok){
        color[C[u]].push_back(u); par[u] = p;
    }
    else{
        color[C[u]].clear(); vis[C[u]] = 0;
    }
    for (int&v : G[u]) if(v ^ p){
        if (!del[v]) dfs(v, u, ok);
    }
}
int ans = INF;
void decompose(int root){
    reSubsize(root);
    int siz = sz[root];
    root = getCentroid(root, -1, siz);
    dfs(root, root, 1);
    del[root] = 1;
    int ret = 0;
    bool full = 1;
    queue<int> q;
    q.emplace(C[root]); vis[C[root]] = 1;
    while (!q.empty()){
        int current_color = q.front(); q.pop();
        if ((int)color[current_color].size() != cnt[current_color]){full = 0; continue;}
        for (int &node : color[current_color]){
            int p = par[node];
            if (!vis[C[p]]){
                vis[C[p]] = 1;
                q.emplace(C[p]); ++ ret;
            }
        }
    }
    dfs(root, root, 0);
    if (full) minimize(ans, ret);
    for (int &v : G[root]){
        if (!del[v]) decompose(v);
    }
}
void Whisper(){
    cin >> numNode >> numCity;
    for (int i = 1; i < numNode; ++i){
        int u, v; cin >> u >> v;
        G[u].push_back(v);
        G[v].push_back(u);
    }
    for (int i = 1; i <= numNode; ++i){
        cin >> C[i];
        cnt[C[i]]++;
    }

    decompose(1);
    cout << ans;
}


signed main(){
    setupIO();
    int Test = 1;
//    cin >> Test;
    for ( int i = 1 ; i <= Test ; i++ ){
        Whisper();
        if (i < Test) cout << '\n';
    }
}

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 16988 KB Output is correct
2 Correct 4 ms 17244 KB Output is correct
3 Correct 3 ms 16988 KB Output is correct
4 Correct 3 ms 16988 KB Output is correct
5 Correct 3 ms 16988 KB Output is correct
6 Correct 3 ms 17192 KB Output is correct
7 Correct 3 ms 16988 KB Output is correct
8 Correct 3 ms 16988 KB Output is correct
9 Correct 4 ms 16988 KB Output is correct
10 Correct 4 ms 19244 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 16988 KB Output is correct
2 Correct 4 ms 17244 KB Output is correct
3 Correct 3 ms 16988 KB Output is correct
4 Correct 3 ms 16988 KB Output is correct
5 Correct 3 ms 16988 KB Output is correct
6 Correct 3 ms 17192 KB Output is correct
7 Correct 3 ms 16988 KB Output is correct
8 Correct 3 ms 16988 KB Output is correct
9 Correct 4 ms 16988 KB Output is correct
10 Correct 4 ms 19244 KB Output is correct
11 Correct 6 ms 17244 KB Output is correct
12 Correct 4 ms 17244 KB Output is correct
13 Correct 5 ms 17300 KB Output is correct
14 Correct 4 ms 17244 KB Output is correct
15 Correct 5 ms 17348 KB Output is correct
16 Correct 4 ms 17244 KB Output is correct
17 Correct 4 ms 17288 KB Output is correct
18 Correct 4 ms 17244 KB Output is correct
19 Correct 4 ms 17244 KB Output is correct
20 Correct 5 ms 17244 KB Output is correct
21 Correct 6 ms 17244 KB Output is correct
22 Correct 4 ms 17412 KB Output is correct
23 Correct 6 ms 17244 KB Output is correct
24 Correct 4 ms 17244 KB Output is correct
25 Correct 5 ms 17244 KB Output is correct
26 Correct 5 ms 17276 KB Output is correct
27 Correct 5 ms 17244 KB Output is correct
28 Correct 5 ms 17204 KB Output is correct
29 Correct 5 ms 17244 KB Output is correct
30 Correct 5 ms 17408 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 383 ms 44368 KB Output is correct
2 Correct 154 ms 44624 KB Output is correct
3 Correct 406 ms 44328 KB Output is correct
4 Correct 156 ms 44628 KB Output is correct
5 Correct 376 ms 41952 KB Output is correct
6 Correct 162 ms 44820 KB Output is correct
7 Correct 353 ms 42072 KB Output is correct
8 Correct 153 ms 44488 KB Output is correct
9 Correct 569 ms 40020 KB Output is correct
10 Correct 498 ms 37968 KB Output is correct
11 Correct 479 ms 40272 KB Output is correct
12 Correct 517 ms 42380 KB Output is correct
13 Correct 442 ms 37460 KB Output is correct
14 Correct 460 ms 42836 KB Output is correct
15 Correct 478 ms 42604 KB Output is correct
16 Correct 472 ms 38400 KB Output is correct
17 Correct 518 ms 38976 KB Output is correct
18 Correct 474 ms 38744 KB Output is correct
19 Correct 454 ms 41496 KB Output is correct
20 Correct 479 ms 43368 KB Output is correct
21 Correct 4 ms 19292 KB Output is correct

Subtask #4
59.0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 16988 KB Output is correct
2 Correct 4 ms 17244 KB Output is correct
3 Correct 3 ms 16988 KB Output is correct
4 Correct 3 ms 16988 KB Output is correct
5 Correct 3 ms 16988 KB Output is correct
6 Correct 3 ms 17192 KB Output is correct
7 Correct 3 ms 16988 KB Output is correct
8 Correct 3 ms 16988 KB Output is correct
9 Correct 4 ms 16988 KB Output is correct
10 Correct 4 ms 19244 KB Output is correct
11 Correct 6 ms 17244 KB Output is correct
12 Correct 4 ms 17244 KB Output is correct
13 Correct 5 ms 17300 KB Output is correct
14 Correct 4 ms 17244 KB Output is correct
15 Correct 5 ms 17348 KB Output is correct
16 Correct 4 ms 17244 KB Output is correct
17 Correct 4 ms 17288 KB Output is correct
18 Correct 4 ms 17244 KB Output is correct
19 Correct 4 ms 17244 KB Output is correct
20 Correct 5 ms 17244 KB Output is correct
21 Correct 6 ms 17244 KB Output is correct
22 Correct 4 ms 17412 KB Output is correct
23 Correct 6 ms 17244 KB Output is correct
24 Correct 4 ms 17244 KB Output is correct
25 Correct 5 ms 17244 KB Output is correct
26 Correct 5 ms 17276 KB Output is correct
27 Correct 5 ms 17244 KB Output is correct
28 Correct 5 ms 17204 KB Output is correct
29 Correct 5 ms 17244 KB Output is correct
30 Correct 5 ms 17408 KB Output is correct
31 Correct 383 ms 44368 KB Output is correct
32 Correct 154 ms 44624 KB Output is correct
33 Correct 406 ms 44328 KB Output is correct
34 Correct 156 ms 44628 KB Output is correct
35 Correct 376 ms 41952 KB Output is correct
36 Correct 162 ms 44820 KB Output is correct
37 Correct 353 ms 42072 KB Output is correct
38 Correct 153 ms 44488 KB Output is correct
39 Correct 569 ms 40020 KB Output is correct
40 Correct 498 ms 37968 KB Output is correct
41 Correct 479 ms 40272 KB Output is correct
42 Correct 517 ms 42380 KB Output is correct
43 Correct 442 ms 37460 KB Output is correct
44 Correct 460 ms 42836 KB Output is correct
45 Correct 478 ms 42604 KB Output is correct
46 Correct 472 ms 38400 KB Output is correct
47 Correct 518 ms 38976 KB Output is correct
48 Correct 474 ms 38744 KB Output is correct
49 Correct 454 ms 41496 KB Output is correct
50 Correct 479 ms 43368 KB Output is correct
51 Correct 4 ms 19292 KB Output is correct
52 Correct 286 ms 31824 KB Output is correct
53 Correct 364 ms 32044 KB Output is correct
54 Correct 357 ms 32288 KB Output is correct
55 Correct 341 ms 32068 KB Output is correct
56 Correct 345 ms 32060 KB Output is correct
57 Correct 303 ms 32072 KB Output is correct
58 Correct 318 ms 35860 KB Output is correct
59 Correct 281 ms 36140 KB Output is correct
60 Correct 407 ms 35156 KB Output is correct
61 Correct 409 ms 34892 KB Output is correct
62 Correct 159 ms 44820 KB Output is correct
63 Correct 153 ms 44624 KB Output is correct
64 Correct 153 ms 44628 KB Output is correct
65 Correct 156 ms 44628 KB Output is correct
66 Correct 318 ms 38352 KB Output is correct
67 Correct 243 ms 38084 KB Output is correct
68 Correct 250 ms 38600 KB Output is correct
69 Correct 235 ms 38336 KB Output is correct
70 Correct 258 ms 38292 KB Output is correct
71 Correct 265 ms 38300 KB Output is correct
72 Correct 251 ms 38084 KB Output is correct
73 Correct 260 ms 37828 KB Output is correct
74 Correct 259 ms 38144 KB Output is correct
75 Correct 251 ms 38340 KB Output is correct
76 Correct 335 ms 38404 KB Output is correct
77 Correct 351 ms 36692 KB Output is correct
78 Correct 455 ms 38716 KB Output is correct
79 Correct 490 ms 37204 KB Output is correct
80 Correct 500 ms 42864 KB Output is correct
81 Correct 506 ms 40240 KB Output is correct
82 Correct 480 ms 40272 KB Output is correct
83 Correct 433 ms 37388 KB Output is correct
84 Correct 467 ms 42224 KB Output is correct
85 Correct 455 ms 40928 KB Output is correct
86 Correct 514 ms 37084 KB Output is correct
87 Correct 451 ms 38528 KB Output is correct
88 Correct 448 ms 39732 KB Output is correct
89 Correct 435 ms 36732 KB Output is correct
90 Correct 395 ms 36384 KB Output is correct
91 Correct 449 ms 38376 KB Output is correct
92 Correct 428 ms 37712 KB Output is correct
93 Correct 452 ms 37200 KB Output is correct
94 Correct 422 ms 36696 KB Output is correct
95 Correct 422 ms 37876 KB Output is correct
96 Correct 460 ms 36872 KB Output is correct
97 Correct 425 ms 38452 KB Output is correct