oj.uz

Submission #727009

# Submission time Handle Problem Language Result Execution time Memory
727009 2023-04-19T19:53:44 Z nishkarsh Capital City (JOI20_capital_city) C++14
100 / 100
 394 ms 47076 KB 
#include <bits/stdc++.h>
#define ll long long
#define ull unsigned long long
#define pb push_back
#define mp make_pair
#define F first
#define S second
#define pii pair<int,int>
#define pll pair<ll,ll>
#define pcc pair<char,char>
#define vi vector <int>
#define vl vector <ll>
#define sd(x) scanf("%d",&x)
#define slld(x) scanf("%lld",&x)
#define pd(x) printf("%d",x)
#define plld(x) printf("%lld",x)
#define pds(x) printf("%d ",x)
#define pllds(x) printf("%lld ",x)
#define pdn(x) printf("%d\n",x)
#define plldn(x) printf("%lld\n",x)
using namespace std;
ll powmod(ll base,ll exponent,ll mod){
	ll ans=1;
	if(base<0) base+=mod;
	while(exponent){
		if(exponent&1)ans=(ans*base)%mod;
		base=(base*base)%mod;
		exponent/=2;
	}
	return ans;
}
ll gcd(ll a, ll b){
	if(b==0) return a;
	else return gcd(b,a%b);
}
const int INF = 2e9;
const ll INFLL = 4e18;
const int upperlimit = 2e5+1;
const int mod = 1e9+7;
struct DirectedGraph{
	int n;
	vector<vector<int>> adj;
	vector<vector<int>> compladj;
	vector<int> topsort;
	vector<bool> visited;
	vector<bool> marked;
	DirectedGraph(int _n){
		n = _n;
		adj.resize(n);
		compladj.resize(n);
		visited.assign(n,false);
		marked.assign(n,false);
	}
	void add_edge(int &a,int &b){
		adj[a].pb(b);
		compladj[b].pb(a);
	}
	void topsort_dfs(int node){
		visited[node] = true;
		for(int i : compladj[node]) if(! visited[i]) topsort_dfs(i);
		topsort.pb(node);
	}
	void scc_dfs(int node, int &sz, bool &is_end, vi &node_list){
		sz++;
		node_list.pb(node);
		visited[node] = true;
		for(int i : adj[node]){
			if(marked[i]) is_end = false;
			else if(! visited[i]) scc_dfs(i,sz,is_end,node_list);
		}
	}
	int calculate_ans(){
		for(int i = 0; i < n; i++) if(! visited[i]) topsort_dfs(i);
		reverse(topsort.begin(),topsort.end());
		visited.assign(n,false);
		int ans = n,sz;
		bool is_end;
		vi node_list;
		for(int i : topsort){
			if(! marked[i]){
				sz = 0;
				is_end = true;
				node_list.clear();
				scc_dfs(i,sz,is_end,node_list);
				for(int j : node_list) marked[j] = true;
				if(is_end) ans = min(ans,sz);
			}
		}
		return ans;
	}
};
vi adj[upperlimit];
int par[upperlimit];
vi indices[upperlimit];
int etl[upperlimit];
int etr[upperlimit];
int c[upperlimit];
int node_cnt = 0;
void dfs(int node,int p){
	par[node] = p;
	indices[c[node]].pb(etl[node] = ++node_cnt);
	for(int i : adj[node]) if(i != p) dfs(i,node);
	etr[node] = node_cnt;
}
int main() {
	int n,k,a,b;
	cin >> n >> k;
	for(int i = 1; i < n; i++){
		cin >> a >> b;
		a--;b--;
		adj[a].pb(b);
		adj[b].pb(a);
	}
	for(int i = 0; i < n; i++){
		cin >> c[i];
		c[i]--;
	}
	DirectedGraph dg(k);
	dfs(0,-1);
	for(int i = 1; i < n; i++){
		if((indices[c[i]][0] < etl[i]) || (indices[c[i]].back() > etr[i])) dg.add_edge(c[i],c[par[i]]);
		if(lower_bound(indices[c[par[i]]].begin(),indices[c[par[i]]].end(),etl[i]) != upper_bound(indices[c[par[i]]].begin(),indices[c[par[i]]].end(),etr[i])) dg.add_edge(c[par[i]],c[i]);
	}
	cout << dg.calculate_ans() - 1;
	return 0;
}

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 5 ms 9684 KB Output is correct
3 Correct 4 ms 9684 KB Output is correct
4 Correct 5 ms 9720 KB Output is correct
5 Correct 6 ms 9684 KB Output is correct
6 Correct 6 ms 9604 KB Output is correct
7 Correct 5 ms 9684 KB Output is correct
8 Correct 6 ms 9684 KB Output is correct
9 Correct 7 ms 9684 KB Output is correct
10 Correct 5 ms 9684 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 5 ms 9684 KB Output is correct
3 Correct 4 ms 9684 KB Output is correct
4 Correct 5 ms 9720 KB Output is correct
5 Correct 6 ms 9684 KB Output is correct
6 Correct 6 ms 9604 KB Output is correct
7 Correct 5 ms 9684 KB Output is correct
8 Correct 6 ms 9684 KB Output is correct
9 Correct 7 ms 9684 KB Output is correct
10 Correct 5 ms 9684 KB Output is correct
11 Correct 8 ms 9812 KB Output is correct
12 Correct 7 ms 9772 KB Output is correct
13 Correct 6 ms 9812 KB Output is correct
14 Correct 7 ms 9860 KB Output is correct
15 Correct 8 ms 9940 KB Output is correct
16 Correct 8 ms 9844 KB Output is correct
17 Correct 7 ms 9940 KB Output is correct
18 Correct 8 ms 9904 KB Output is correct
19 Correct 7 ms 9940 KB Output is correct
20 Correct 7 ms 9940 KB Output is correct
21 Correct 8 ms 9896 KB Output is correct
22 Correct 8 ms 10008 KB Output is correct
23 Correct 9 ms 10068 KB Output is correct
24 Correct 7 ms 9940 KB Output is correct
25 Correct 9 ms 9940 KB Output is correct
26 Correct 7 ms 9940 KB Output is correct
27 Correct 10 ms 9928 KB Output is correct
28 Correct 7 ms 9868 KB Output is correct
29 Correct 7 ms 9940 KB Output is correct
30 Correct 7 ms 9940 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 342 ms 42916 KB Output is correct
2 Correct 239 ms 43224 KB Output is correct
3 Correct 375 ms 42724 KB Output is correct
4 Correct 219 ms 43180 KB Output is correct
5 Correct 374 ms 40256 KB Output is correct
6 Correct 217 ms 43184 KB Output is correct
7 Correct 394 ms 39836 KB Output is correct
8 Correct 219 ms 41500 KB Output is correct
9 Correct 358 ms 35648 KB Output is correct
10 Correct 352 ms 33864 KB Output is correct
11 Correct 368 ms 35600 KB Output is correct
12 Correct 360 ms 37332 KB Output is correct
13 Correct 357 ms 33716 KB Output is correct
14 Correct 341 ms 37556 KB Output is correct
15 Correct 300 ms 37636 KB Output is correct
16 Correct 348 ms 34316 KB Output is correct
17 Correct 349 ms 34732 KB Output is correct
18 Correct 324 ms 35088 KB Output is correct
19 Correct 318 ms 36784 KB Output is correct
20 Correct 310 ms 37752 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 5 ms 9684 KB Output is correct
2 Correct 5 ms 9684 KB Output is correct
3 Correct 4 ms 9684 KB Output is correct
4 Correct 5 ms 9720 KB Output is correct
5 Correct 6 ms 9684 KB Output is correct
6 Correct 6 ms 9604 KB Output is correct
7 Correct 5 ms 9684 KB Output is correct
8 Correct 6 ms 9684 KB Output is correct
9 Correct 7 ms 9684 KB Output is correct
10 Correct 5 ms 9684 KB Output is correct
11 Correct 8 ms 9812 KB Output is correct
12 Correct 7 ms 9772 KB Output is correct
13 Correct 6 ms 9812 KB Output is correct
14 Correct 7 ms 9860 KB Output is correct
15 Correct 8 ms 9940 KB Output is correct
16 Correct 8 ms 9844 KB Output is correct
17 Correct 7 ms 9940 KB Output is correct
18 Correct 8 ms 9904 KB Output is correct
19 Correct 7 ms 9940 KB Output is correct
20 Correct 7 ms 9940 KB Output is correct
21 Correct 8 ms 9896 KB Output is correct
22 Correct 8 ms 10008 KB Output is correct
23 Correct 9 ms 10068 KB Output is correct
24 Correct 7 ms 9940 KB Output is correct
25 Correct 9 ms 9940 KB Output is correct
26 Correct 7 ms 9940 KB Output is correct
27 Correct 10 ms 9928 KB Output is correct
28 Correct 7 ms 9868 KB Output is correct
29 Correct 7 ms 9940 KB Output is correct
30 Correct 7 ms 9940 KB Output is correct
31 Correct 342 ms 42916 KB Output is correct
32 Correct 239 ms 43224 KB Output is correct
33 Correct 375 ms 42724 KB Output is correct
34 Correct 219 ms 43180 KB Output is correct
35 Correct 374 ms 40256 KB Output is correct
36 Correct 217 ms 43184 KB Output is correct
37 Correct 394 ms 39836 KB Output is correct
38 Correct 219 ms 41500 KB Output is correct
39 Correct 358 ms 35648 KB Output is correct
40 Correct 352 ms 33864 KB Output is correct
41 Correct 368 ms 35600 KB Output is correct
42 Correct 360 ms 37332 KB Output is correct
43 Correct 357 ms 33716 KB Output is correct
44 Correct 341 ms 37556 KB Output is correct
45 Correct 300 ms 37636 KB Output is correct
46 Correct 348 ms 34316 KB Output is correct
47 Correct 349 ms 34732 KB Output is correct
48 Correct 324 ms 35088 KB Output is correct
49 Correct 318 ms 36784 KB Output is correct
50 Correct 310 ms 37752 KB Output is correct
51 Correct 6 ms 9684 KB Output is correct
52 Correct 303 ms 25544 KB Output is correct
53 Correct 296 ms 25364 KB Output is correct
54 Correct 297 ms 25340 KB Output is correct
55 Correct 305 ms 28820 KB Output is correct
56 Correct 314 ms 28876 KB Output is correct
57 Correct 308 ms 28868 KB Output is correct
58 Correct 332 ms 35572 KB Output is correct
59 Correct 343 ms 35872 KB Output is correct
60 Correct 378 ms 36000 KB Output is correct
61 Correct 387 ms 35800 KB Output is correct
62 Correct 229 ms 46868 KB Output is correct
63 Correct 211 ms 47076 KB Output is correct
64 Correct 260 ms 45688 KB Output is correct
65 Correct 227 ms 46880 KB Output is correct
66 Correct 303 ms 36472 KB Output is correct
67 Correct 297 ms 36392 KB Output is correct
68 Correct 302 ms 36452 KB Output is correct
69 Correct 286 ms 36460 KB Output is correct
70 Correct 290 ms 36472 KB Output is correct
71 Correct 278 ms 36396 KB Output is correct
72 Correct 287 ms 36408 KB Output is correct
73 Correct 313 ms 35832 KB Output is correct
74 Correct 293 ms 36408 KB Output is correct
75 Correct 265 ms 36444 KB Output is correct
76 Correct 357 ms 40800 KB Output is correct
77 Correct 393 ms 39800 KB Output is correct
78 Correct 358 ms 38516 KB Output is correct
79 Correct 375 ms 36964 KB Output is correct
80 Correct 365 ms 41188 KB Output is correct
81 Correct 367 ms 39268 KB Output is correct
82 Correct 323 ms 39568 KB Output is correct
83 Correct 338 ms 37344 KB Output is correct
84 Correct 321 ms 41032 KB Output is correct
85 Correct 337 ms 39888 KB Output is correct
86 Correct 317 ms 36940 KB Output is correct
87 Correct 338 ms 37968 KB Output is correct
88 Correct 357 ms 38592 KB Output is correct
89 Correct 293 ms 35748 KB Output is correct
90 Correct 306 ms 35596 KB Output is correct
91 Correct 299 ms 37068 KB Output is correct
92 Correct 367 ms 36932 KB Output is correct
93 Correct 322 ms 36144 KB Output is correct
94 Correct 318 ms 35812 KB Output is correct
95 Correct 334 ms 36584 KB Output is correct
96 Correct 323 ms 36448 KB Output is correct
97 Correct 298 ms 37352 KB Output is correct