oj.uz

Submission #416566

# Submission time Handle Problem Language Result Execution time Memory
416566 2021-06-02T16:04:50 Z amirmohammad_nezami Capital City (JOI20_capital_city) C++14
100 / 100
 1399 ms 42396 KB 
//                                                          In the name of God 
#include <bits/stdc++.h>
using namespace std;
#define F first
#define S second
#define PB push_back
#define MP make_pair
#define lc 2 * v
#define rc 2 * v + 1
#define mid (s + e) / 2
#define _sz(e) (int)e.size()
#define _all(e) e.begin() , e.end()
#define _lcm(a , b) (1ll * a * b) / __gcd(a , b)
#define ll long long
#define int long long
#define ld long double
#define pii pair <int , int>
#define pcc pair <char , char>
#define pll pair <long long , long long>
#define piii pair <int , pair <int , int>>
#define FAST ios::sync_with_stdio(0);cin.tie(0)
#pragma GCC optimize("Ofast")
// #pragma GCC target("ve,ve2,ve3,vse3,ve4,avmini,avmini2")

const int maxn = 3e5 + 10 , N = 2e5 + 10 , SQ = 320 , base = 800287 , mod = 1e9 + 7 , INF = 1e14 + 10 , lg = 22;
const ld eps = 1e-4;

int n , k , c[maxn] , res[maxn] , sz[maxn] , par[maxn]; 
bool death[maxn] , sub[maxn] , mark[maxn] , visited[maxn];
vector <int> edges[maxn] , town[maxn] , tmp;

void dfs_sz(int v , int p = -1) {
	sz[v] = 1;
	for (auto u : edges[v]) {
		if(u != p && !death[u]) {
			dfs_sz(u , v);
			sz[v] += sz[u];
		}
	}
}

void dfs_sub(int v , int p = -1) {
	sub[v] = 1 , par[v] = p , tmp.PB(v);
	for (auto u : edges[v]) {
		if(u != p && !death[u]) {
			dfs_sub(u , v);
		}
	}
}

int find_centroid(int v , int tot , int p = -1) {
	for (auto u : edges[v]) {
		if(u != p && !death[u] && sz[u] > tot / 2) {
			return find_centroid(u , tot , v);
		}
	}
	return v;
}

void calc(int x) {
	dfs_sub(x);
	queue <int> q; q.push(x);

	while(_sz(q)) {
		int v = q.front(); q.pop();
		if(visited[v]) {continue;}
		
		visited[v] = 1 , tmp.PB(v);

		if(!mark[c[v]]) {
			for (auto u : town[c[v]]) {
				if(!sub[u] || death[u]) {
					res[x] = INF;
					return ;
				}
				if(!visited[u]) {
					q.push(u);
				}
			}
			res[x]++;
			mark[c[v]] = 1 , tmp.PB(c[v]);
		}
		
		if(par[v] != -1 && !visited[par[v]]) {
			q.push(par[v]);
		}
	}
}

void centroid_tree() {
	queue <int> q; dfs_sz(0);
	q.push(find_centroid(0 , sz[0]));

	while(_sz(q)) {
		int v = q.front(); q.pop();

		calc(v);
		for (auto u : tmp) {
			sub[u] = mark[u] = visited[u] = 0;
		}
		tmp.clear(); 
		death[v] = 1;
	
		for (auto u : edges[v]) {
			if(!death[u]) {
				dfs_sz(u);
				q.push(find_centroid(u , sz[u]));
			}
 		}
	}
}

int32_t main() {	
	FAST;
	cin >> n >> k;
	for (int i = 0; i < n - 1; ++i) {
		int x , y; cin >> x >> y;
		x-- , y--;
		edges[x].PB(y);
		edges[y].PB(x);
	}
	for (int i = 0; i < n; ++i) {
		cin >> c[i]; c[i]--;
		town[c[i]].PB(i);
	}

	centroid_tree();

	int ans = k - 1;
	for (int i = 0; i < n; ++i) {
		ans = min(ans , res[i] - 1);
	}

	cout << ans << '\n';
} 
//  Mistakes:
//  * Read the problem carefully.
//  * Check maxn.
//  * Overflows.

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 14412 KB Output is correct
2 Correct 9 ms 14420 KB Output is correct
3 Correct 9 ms 14412 KB Output is correct
4 Correct 9 ms 14412 KB Output is correct
5 Correct 10 ms 14540 KB Output is correct
6 Correct 9 ms 14420 KB Output is correct
7 Correct 9 ms 14412 KB Output is correct
8 Correct 9 ms 14412 KB Output is correct
9 Correct 10 ms 14412 KB Output is correct
10 Correct 9 ms 14404 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 14412 KB Output is correct
2 Correct 9 ms 14420 KB Output is correct
3 Correct 9 ms 14412 KB Output is correct
4 Correct 9 ms 14412 KB Output is correct
5 Correct 10 ms 14540 KB Output is correct
6 Correct 9 ms 14420 KB Output is correct
7 Correct 9 ms 14412 KB Output is correct
8 Correct 9 ms 14412 KB Output is correct
9 Correct 10 ms 14412 KB Output is correct
10 Correct 9 ms 14404 KB Output is correct
11 Correct 12 ms 14684 KB Output is correct
12 Correct 10 ms 14668 KB Output is correct
13 Correct 11 ms 14628 KB Output is correct
14 Correct 12 ms 14668 KB Output is correct
15 Correct 11 ms 14684 KB Output is correct
16 Correct 11 ms 14668 KB Output is correct
17 Correct 11 ms 14644 KB Output is correct
18 Correct 11 ms 14604 KB Output is correct
19 Correct 10 ms 14680 KB Output is correct
20 Correct 11 ms 14684 KB Output is correct
21 Correct 11 ms 14684 KB Output is correct
22 Correct 11 ms 14680 KB Output is correct
23 Correct 11 ms 14668 KB Output is correct
24 Correct 11 ms 14668 KB Output is correct
25 Correct 11 ms 14668 KB Output is correct
26 Correct 14 ms 14756 KB Output is correct
27 Correct 12 ms 14700 KB Output is correct
28 Correct 12 ms 14744 KB Output is correct
29 Correct 12 ms 14668 KB Output is correct
30 Correct 11 ms 14668 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 811 ms 42044 KB Output is correct
2 Correct 234 ms 42192 KB Output is correct
3 Correct 886 ms 41912 KB Output is correct
4 Correct 231 ms 42208 KB Output is correct
5 Correct 846 ms 40972 KB Output is correct
6 Correct 219 ms 42200 KB Output is correct
7 Correct 845 ms 41244 KB Output is correct
8 Correct 229 ms 42368 KB Output is correct
9 Correct 1035 ms 41052 KB Output is correct
10 Correct 1049 ms 40860 KB Output is correct
11 Correct 1054 ms 41260 KB Output is correct
12 Correct 1105 ms 42132 KB Output is correct
13 Correct 1012 ms 40792 KB Output is correct
14 Correct 1090 ms 42188 KB Output is correct
15 Correct 1040 ms 42124 KB Output is correct
16 Correct 1075 ms 40832 KB Output is correct
17 Correct 1176 ms 40956 KB Output is correct
18 Correct 1142 ms 40852 KB Output is correct
19 Correct 1107 ms 41836 KB Output is correct
20 Correct 1127 ms 42396 KB Output is correct
21 Correct 10 ms 14412 KB Output is correct

Subtask #4
59.0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 14412 KB Output is correct
2 Correct 9 ms 14420 KB Output is correct
3 Correct 9 ms 14412 KB Output is correct
4 Correct 9 ms 14412 KB Output is correct
5 Correct 10 ms 14540 KB Output is correct
6 Correct 9 ms 14420 KB Output is correct
7 Correct 9 ms 14412 KB Output is correct
8 Correct 9 ms 14412 KB Output is correct
9 Correct 10 ms 14412 KB Output is correct
10 Correct 9 ms 14404 KB Output is correct
11 Correct 12 ms 14684 KB Output is correct
12 Correct 10 ms 14668 KB Output is correct
13 Correct 11 ms 14628 KB Output is correct
14 Correct 12 ms 14668 KB Output is correct
15 Correct 11 ms 14684 KB Output is correct
16 Correct 11 ms 14668 KB Output is correct
17 Correct 11 ms 14644 KB Output is correct
18 Correct 11 ms 14604 KB Output is correct
19 Correct 10 ms 14680 KB Output is correct
20 Correct 11 ms 14684 KB Output is correct
21 Correct 11 ms 14684 KB Output is correct
22 Correct 11 ms 14680 KB Output is correct
23 Correct 11 ms 14668 KB Output is correct
24 Correct 11 ms 14668 KB Output is correct
25 Correct 11 ms 14668 KB Output is correct
26 Correct 14 ms 14756 KB Output is correct
27 Correct 12 ms 14700 KB Output is correct
28 Correct 12 ms 14744 KB Output is correct
29 Correct 12 ms 14668 KB Output is correct
30 Correct 11 ms 14668 KB Output is correct
31 Correct 811 ms 42044 KB Output is correct
32 Correct 234 ms 42192 KB Output is correct
33 Correct 886 ms 41912 KB Output is correct
34 Correct 231 ms 42208 KB Output is correct
35 Correct 846 ms 40972 KB Output is correct
36 Correct 219 ms 42200 KB Output is correct
37 Correct 845 ms 41244 KB Output is correct
38 Correct 229 ms 42368 KB Output is correct
39 Correct 1035 ms 41052 KB Output is correct
40 Correct 1049 ms 40860 KB Output is correct
41 Correct 1054 ms 41260 KB Output is correct
42 Correct 1105 ms 42132 KB Output is correct
43 Correct 1012 ms 40792 KB Output is correct
44 Correct 1090 ms 42188 KB Output is correct
45 Correct 1040 ms 42124 KB Output is correct
46 Correct 1075 ms 40832 KB Output is correct
47 Correct 1176 ms 40956 KB Output is correct
48 Correct 1142 ms 40852 KB Output is correct
49 Correct 1107 ms 41836 KB Output is correct
50 Correct 1127 ms 42396 KB Output is correct
51 Correct 10 ms 14412 KB Output is correct
52 Correct 777 ms 39396 KB Output is correct
53 Correct 870 ms 39508 KB Output is correct
54 Correct 875 ms 39348 KB Output is correct
55 Correct 921 ms 39316 KB Output is correct
56 Correct 920 ms 39452 KB Output is correct
57 Correct 871 ms 39344 KB Output is correct
58 Correct 994 ms 39776 KB Output is correct
59 Correct 816 ms 39360 KB Output is correct
60 Correct 982 ms 38552 KB Output is correct
61 Correct 1008 ms 38852 KB Output is correct
62 Correct 254 ms 42196 KB Output is correct
63 Correct 238 ms 42188 KB Output is correct
64 Correct 235 ms 42332 KB Output is correct
65 Correct 248 ms 42136 KB Output is correct
66 Correct 597 ms 40852 KB Output is correct
67 Correct 638 ms 40804 KB Output is correct
68 Correct 583 ms 40812 KB Output is correct
69 Correct 636 ms 40828 KB Output is correct
70 Correct 716 ms 40740 KB Output is correct
71 Correct 710 ms 40760 KB Output is correct
72 Correct 867 ms 40784 KB Output is correct
73 Correct 705 ms 40828 KB Output is correct
74 Correct 605 ms 40852 KB Output is correct
75 Correct 691 ms 40848 KB Output is correct
76 Correct 1393 ms 40320 KB Output is correct
77 Correct 1225 ms 40228 KB Output is correct
78 Correct 1329 ms 40792 KB Output is correct
79 Correct 1339 ms 40700 KB Output is correct
80 Correct 1359 ms 42340 KB Output is correct
81 Correct 1290 ms 41148 KB Output is correct
82 Correct 1343 ms 41168 KB Output is correct
83 Correct 1399 ms 40852 KB Output is correct
84 Correct 1360 ms 42048 KB Output is correct
85 Correct 1328 ms 41488 KB Output is correct
86 Correct 1177 ms 40772 KB Output is correct
87 Correct 947 ms 40876 KB Output is correct
88 Correct 838 ms 41272 KB Output is correct
89 Correct 794 ms 40244 KB Output is correct
90 Correct 788 ms 40292 KB Output is correct
91 Correct 834 ms 40524 KB Output is correct
92 Correct 968 ms 40332 KB Output is correct
93 Correct 965 ms 40232 KB Output is correct
94 Correct 1042 ms 40276 KB Output is correct
95 Correct 1076 ms 40456 KB Output is correct
96 Correct 1058 ms 40300 KB Output is correct
97 Correct 1066 ms 40540 KB Output is correct