oj.uz

Submission #713046

# Submission time Handle Problem Language Result Execution time Memory
713046 2023-03-21T01:08:23 Z PixelCat Capital City (JOI20_capital_city) C++14
100 / 100
 1146 ms 48700 KB 
/* nya */
#pragma GCC optimize("O4,unroll-loops,no-stack-protector")
#pragma GCC target("avx,avx2,sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,fma")

#include <bits/stdc++.h>
#define For(i, a, b) for (int i = a; i <= b; i++)
#define Forr(i, a, b) for (int i = a; i >= b; i--)
#define Fors(i, a, b, s) for (int i = a; i <= b; i += s)
#define F first
#define S second
#define all(x) x.begin(), x.end()
#define sz(x) ((int)x.size())
#define eb emplace_back
#define int LL
#define INF (int)(1e18)
#define MOD (int)(1000000007)
// #define MOD (int)(998244353)
using namespace std;
using LL = long long;
// using LLL = __int128_t;
using pii = pair<int, int>;
 
#ifdef NYAOWO
#include "library/debug.hpp"
inline void USACO(const string &s) {
    cerr << "USACO: " << s << "\n";
}
#else
#define debug(...)
inline void timer() {}
inline void USACO(const string &s) {
    freopen((s + ".in").c_str(), "r", stdin);
    freopen((s + ".out").c_str(), "w", stdout);
}
#endif

const int MAXN = 200020;
mt19937_64 rng(48763);

vector<int> adj[MAXN];
int vis[MAXN];  // -1 for expired nodes

int par[MAXN];
int ssz[MAXN];

int city[MAXN];  // town -> city
vector<int> town[MAXN];  // city -> towns
int vist[MAXN];

int dfs(int n, int p, int tag) {
    vis[n] = tag;
    par[n] = p;
    int sz = 1;
    for(auto &i:adj[n]) if(vis[i] != -1 && vis[i] != tag) {
        sz += dfs(i, n, tag);
    }
    ssz[n] = sz;
    return sz;
}

// {size, index}
pii cent(int n, int p, int N) {
    pii res = {INF, -1};
    int mx = 0;
    for(auto &i:adj[n]) if(i != p && vis[i] >= 0) {
        res = min(res, cent(i, n, N));
        mx = max(mx, ssz[i]);
    }
    mx = max(mx, N - ssz[n]);
    res = min(res, pii(mx, n));
    return res;
}

int nya(int n, int siz) {
    int tag = rng();
    n = cent(n, n, siz).S;
    dfs(n, n, tag);
    
    queue<int> que;
    int res = 0;
    
    auto mark = [&](int t) {
        // cout << "mark: " << t << "\n";
        if(vis[t] != (~tag) && vis[t] != tag) return false;
        while(vis[t] == tag) {
            vis[t] = (~tag);
            if(vist[city[t]] != tag) {
                vist[city[t]] = tag;
                que.emplace(city[t]);
            }
            if(t == n) break;
            t = par[t];
        }
        return true;
    };
    mark(n);
    while(!que.empty()) {
        int c = que.front(); que.pop();
        // cout << "city: " << c << "\n";
        res++;
        for(auto &i:town[c]) if(vis[i] != (~tag)) {
            if(!mark(i)) {
                res = INF;
                break;
            }
        }
    }

    vis[n] = -1;
    for(auto &i:adj[n]) if(vis[i] != -1) {
        res = min(res, nya(i, dfs(i, i, rng())));
    }
    return res;
}

int32_t main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    // OAO
    int n, m; cin >> n >> m;
    For(i, 1, n - 1) {
        int a, b; cin >> a >> b;
        adj[a].eb(b);
        adj[b].eb(a);
    }
    For(i, 1, n) {
        cin >> city[i];
        town[city[i]].eb(i);
    }
    dfs(1, 1, 49);
    cout << (nya(1, n) - 1) << "\n";
    return 0;
}

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 9684 KB Output is correct
2 Correct 6 ms 9732 KB Output is correct
3 Correct 7 ms 9684 KB Output is correct
4 Correct 7 ms 9732 KB Output is correct
5 Correct 6 ms 9732 KB Output is correct
6 Correct 6 ms 9684 KB Output is correct
7 Correct 7 ms 9684 KB Output is correct
8 Correct 6 ms 9744 KB Output is correct
9 Correct 6 ms 9732 KB Output is correct
10 Correct 6 ms 9684 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 9684 KB Output is correct
2 Correct 6 ms 9732 KB Output is correct
3 Correct 7 ms 9684 KB Output is correct
4 Correct 7 ms 9732 KB Output is correct
5 Correct 6 ms 9732 KB Output is correct
6 Correct 6 ms 9684 KB Output is correct
7 Correct 7 ms 9684 KB Output is correct
8 Correct 6 ms 9744 KB Output is correct
9 Correct 6 ms 9732 KB Output is correct
10 Correct 6 ms 9684 KB Output is correct
11 Correct 8 ms 9928 KB Output is correct
12 Correct 7 ms 9840 KB Output is correct
13 Correct 7 ms 9876 KB Output is correct
14 Correct 8 ms 9940 KB Output is correct
15 Correct 8 ms 10000 KB Output is correct
16 Correct 8 ms 9940 KB Output is correct
17 Correct 7 ms 10000 KB Output is correct
18 Correct 10 ms 10032 KB Output is correct
19 Correct 13 ms 10112 KB Output is correct
20 Correct 8 ms 10044 KB Output is correct
21 Correct 7 ms 9940 KB Output is correct
22 Correct 11 ms 10144 KB Output is correct
23 Correct 8 ms 9940 KB Output is correct
24 Correct 7 ms 9996 KB Output is correct
25 Correct 10 ms 9996 KB Output is correct
26 Correct 9 ms 9996 KB Output is correct
27 Correct 9 ms 10068 KB Output is correct
28 Correct 9 ms 9940 KB Output is correct
29 Correct 8 ms 10000 KB Output is correct
30 Correct 8 ms 9996 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 842 ms 48080 KB Output is correct
2 Correct 270 ms 48616 KB Output is correct
3 Correct 811 ms 47640 KB Output is correct
4 Correct 270 ms 48660 KB Output is correct
5 Correct 847 ms 44252 KB Output is correct
6 Correct 266 ms 48588 KB Output is correct
7 Correct 770 ms 44680 KB Output is correct
8 Correct 259 ms 48348 KB Output is correct
9 Correct 1004 ms 42800 KB Output is correct
10 Correct 975 ms 39792 KB Output is correct
11 Correct 962 ms 43404 KB Output is correct
12 Correct 1038 ms 46412 KB Output is correct
13 Correct 1020 ms 39272 KB Output is correct
14 Correct 1051 ms 46872 KB Output is correct
15 Correct 1146 ms 46428 KB Output is correct
16 Correct 1077 ms 40436 KB Output is correct
17 Correct 1016 ms 41248 KB Output is correct
18 Correct 1069 ms 41408 KB Output is correct
19 Correct 1040 ms 45172 KB Output is correct
20 Correct 1064 ms 47704 KB Output is correct
21 Correct 6 ms 9684 KB Output is correct

Subtask #4
59.0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 9684 KB Output is correct
2 Correct 6 ms 9732 KB Output is correct
3 Correct 7 ms 9684 KB Output is correct
4 Correct 7 ms 9732 KB Output is correct
5 Correct 6 ms 9732 KB Output is correct
6 Correct 6 ms 9684 KB Output is correct
7 Correct 7 ms 9684 KB Output is correct
8 Correct 6 ms 9744 KB Output is correct
9 Correct 6 ms 9732 KB Output is correct
10 Correct 6 ms 9684 KB Output is correct
11 Correct 8 ms 9928 KB Output is correct
12 Correct 7 ms 9840 KB Output is correct
13 Correct 7 ms 9876 KB Output is correct
14 Correct 8 ms 9940 KB Output is correct
15 Correct 8 ms 10000 KB Output is correct
16 Correct 8 ms 9940 KB Output is correct
17 Correct 7 ms 10000 KB Output is correct
18 Correct 10 ms 10032 KB Output is correct
19 Correct 13 ms 10112 KB Output is correct
20 Correct 8 ms 10044 KB Output is correct
21 Correct 7 ms 9940 KB Output is correct
22 Correct 11 ms 10144 KB Output is correct
23 Correct 8 ms 9940 KB Output is correct
24 Correct 7 ms 9996 KB Output is correct
25 Correct 10 ms 9996 KB Output is correct
26 Correct 9 ms 9996 KB Output is correct
27 Correct 9 ms 10068 KB Output is correct
28 Correct 9 ms 9940 KB Output is correct
29 Correct 8 ms 10000 KB Output is correct
30 Correct 8 ms 9996 KB Output is correct
31 Correct 842 ms 48080 KB Output is correct
32 Correct 270 ms 48616 KB Output is correct
33 Correct 811 ms 47640 KB Output is correct
34 Correct 270 ms 48660 KB Output is correct
35 Correct 847 ms 44252 KB Output is correct
36 Correct 266 ms 48588 KB Output is correct
37 Correct 770 ms 44680 KB Output is correct
38 Correct 259 ms 48348 KB Output is correct
39 Correct 1004 ms 42800 KB Output is correct
40 Correct 975 ms 39792 KB Output is correct
41 Correct 962 ms 43404 KB Output is correct
42 Correct 1038 ms 46412 KB Output is correct
43 Correct 1020 ms 39272 KB Output is correct
44 Correct 1051 ms 46872 KB Output is correct
45 Correct 1146 ms 46428 KB Output is correct
46 Correct 1077 ms 40436 KB Output is correct
47 Correct 1016 ms 41248 KB Output is correct
48 Correct 1069 ms 41408 KB Output is correct
49 Correct 1040 ms 45172 KB Output is correct
50 Correct 1064 ms 47704 KB Output is correct
51 Correct 6 ms 9684 KB Output is correct
52 Correct 526 ms 30096 KB Output is correct
53 Correct 586 ms 30156 KB Output is correct
54 Correct 567 ms 29876 KB Output is correct
55 Correct 577 ms 30028 KB Output is correct
56 Correct 620 ms 30000 KB Output is correct
57 Correct 545 ms 29960 KB Output is correct
58 Correct 568 ms 34448 KB Output is correct
59 Correct 622 ms 34968 KB Output is correct
60 Correct 768 ms 33300 KB Output is correct
61 Correct 817 ms 32936 KB Output is correct
62 Correct 268 ms 48524 KB Output is correct
63 Correct 248 ms 48608 KB Output is correct
64 Correct 264 ms 48420 KB Output is correct
65 Correct 259 ms 48700 KB Output is correct
66 Correct 542 ms 39212 KB Output is correct
67 Correct 557 ms 39096 KB Output is correct
68 Correct 543 ms 39244 KB Output is correct
69 Correct 534 ms 39228 KB Output is correct
70 Correct 590 ms 39116 KB Output is correct
71 Correct 500 ms 39000 KB Output is correct
72 Correct 521 ms 39124 KB Output is correct
73 Correct 527 ms 38124 KB Output is correct
74 Correct 542 ms 39268 KB Output is correct
75 Correct 594 ms 39168 KB Output is correct
76 Correct 776 ms 38216 KB Output is correct
77 Correct 778 ms 36080 KB Output is correct
78 Correct 1079 ms 41152 KB Output is correct
79 Correct 1037 ms 38672 KB Output is correct
80 Correct 1083 ms 47212 KB Output is correct
81 Correct 999 ms 42908 KB Output is correct
82 Correct 1049 ms 43212 KB Output is correct
83 Correct 1020 ms 39124 KB Output is correct
84 Correct 959 ms 46156 KB Output is correct
85 Correct 1129 ms 44332 KB Output is correct
86 Correct 1124 ms 38544 KB Output is correct
87 Correct 1044 ms 40804 KB Output is correct
88 Correct 895 ms 42596 KB Output is correct
89 Correct 867 ms 37676 KB Output is correct
90 Correct 988 ms 37428 KB Output is correct
91 Correct 922 ms 40280 KB Output is correct
92 Correct 906 ms 38700 KB Output is correct
93 Correct 912 ms 38316 KB Output is correct
94 Correct 864 ms 37544 KB Output is correct
95 Correct 920 ms 39356 KB Output is correct
96 Correct 836 ms 37876 KB Output is correct
97 Correct 885 ms 40392 KB Output is correct