oj.uz

Submission #413829

# Submission time Handle Problem Language Result Execution time Memory
413829 2021-05-29T14:53:09 Z rqi Capital City (JOI20_capital_city) C++14
100 / 100
 1142 ms 41392 KB 
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef vector<int> vi;

#define pb push_back

#define sz(x) (int)(x).size()

void ckmin(int& a, int b){
	a = min(a, b);
}

const int MOD = 1e9+7;

#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;

template<class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;

struct HashFunc{
	size_t operator()(ll a){
		return ((a+123485122314LL)^((a+14123901283002LL)>>30));
	}
};

gp_hash_table<ll, vi> g;

const int mx = 200005;
vi adj[mx];
int C[mx];
vi invC[mx];
int ans = MOD;

bool done[mx];

int sub[mx];

void genSub(int node, int p = -1){
	sub[node] = 1;
	for(auto u: adj[node]){
		if(done[u]) continue;
		if(u == p) continue;
		genSub(u, node);
		sub[node]+=sub[u];
	}
}

bool in_subtree[mx];
bool comp_inc[mx];

void setInSubtree(int node, bool val, int p = -1){
	in_subtree[node] = val;
	for(auto u: adj[node]){
		if(done[u]) continue;
		if(u == p) continue;
		setInSubtree(u, val, node);
	}
}

int par[mx];

void genPar(int node, int p = -1){
	par[node] = p;
	for(auto u: adj[node]){
		if(done[u]) continue;
		if(u == p) continue;
		genPar(u, node);
	}
}

void centroidDecomp(int node){
	// cout << "centroidDecomp: " << node << "\n";
	// cout.flush();
	genSub(node);
	int cen = node;
	int p = -1;
	while(true){
		bool found = 0;
		for(auto u: adj[cen]){
			if(done[u]) continue;
			if(u == p) continue;
			if(sub[u]*2 > sub[node]){
				found = 1;
				p = cen;
				cen = u;
				break;
			}
		}
		if(!found){
			break;
		}
	}

	// cout << "foundCen: " << cen << "\n";
	// cout.flush();

	setInSubtree(cen, 1);
	genPar(cen);

	//solve
	vi comps;

	queue<int> q;
	comps.pb(C[cen]);
	comp_inc[C[cen]] = 1;
	q.push(C[cen]);

	

	bool bad = 0;
	while(sz(q)){
		int c = q.front();
		q.pop();
		for(auto u: invC[c]){
			if(!in_subtree[u]){
				bad = 1;
				break;
			}
		}
		if(bad) break;

		for(auto u: invC[c]){
			int p = par[u];
			if(p == -1) continue;
			if(comp_inc[C[p]]) continue;
			comps.pb(C[p]);
			comp_inc[C[p]] = 1;
			q.push(C[p]);
		}
	}

	// cout << "comps: ";
	// for(auto u: comps){
	// 	cout << u << " ";
	// }
	// cout << "\n";

	if(!bad){
		ckmin(ans, sz(comps)-1);
	}
	
	setInSubtree(cen, 0);
	for(auto u: comps){
		comp_inc[u] = 0;
	}

	done[cen] = 1;
	for(auto u: adj[cen]){
		if(done[u]) continue;
		centroidDecomp(u);
	}
}

int main(){
	int N, K;
	cin >> N >> K;
	for(int i = 1; i <= N-1; i++){
		int a, b;
		cin >> a >> b;
		adj[a].pb(b);
		adj[b].pb(a);
	}
	for(int i = 1; i <= N; i++){
		cin >> C[i];
		invC[C[i]].pb(i);
	}

	centroidDecomp(1);

	cout << ans << "\n";
}

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 9700 KB Output is correct
2 Correct 7 ms 9676 KB Output is correct
3 Correct 6 ms 9676 KB Output is correct
4 Correct 6 ms 9676 KB Output is correct
5 Correct 6 ms 9704 KB Output is correct
6 Correct 7 ms 9704 KB Output is correct
7 Correct 6 ms 9676 KB Output is correct
8 Correct 7 ms 9720 KB Output is correct
9 Correct 6 ms 9676 KB Output is correct
10 Correct 7 ms 9712 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 9700 KB Output is correct
2 Correct 7 ms 9676 KB Output is correct
3 Correct 6 ms 9676 KB Output is correct
4 Correct 6 ms 9676 KB Output is correct
5 Correct 6 ms 9704 KB Output is correct
6 Correct 7 ms 9704 KB Output is correct
7 Correct 6 ms 9676 KB Output is correct
8 Correct 7 ms 9720 KB Output is correct
9 Correct 6 ms 9676 KB Output is correct
10 Correct 7 ms 9712 KB Output is correct
11 Correct 9 ms 9844 KB Output is correct
12 Correct 10 ms 9804 KB Output is correct
13 Correct 9 ms 9804 KB Output is correct
14 Correct 9 ms 9848 KB Output is correct
15 Correct 11 ms 9804 KB Output is correct
16 Correct 10 ms 9804 KB Output is correct
17 Correct 9 ms 9932 KB Output is correct
18 Correct 11 ms 9848 KB Output is correct
19 Correct 10 ms 9932 KB Output is correct
20 Correct 11 ms 9932 KB Output is correct
21 Correct 9 ms 9840 KB Output is correct
22 Correct 9 ms 9932 KB Output is correct
23 Correct 10 ms 9932 KB Output is correct
24 Correct 10 ms 9816 KB Output is correct
25 Correct 10 ms 9932 KB Output is correct
26 Correct 10 ms 10008 KB Output is correct
27 Correct 11 ms 9932 KB Output is correct
28 Correct 10 ms 9932 KB Output is correct
29 Correct 20 ms 9844 KB Output is correct
30 Correct 11 ms 9932 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 868 ms 40728 KB Output is correct
2 Correct 464 ms 41208 KB Output is correct
3 Correct 789 ms 40408 KB Output is correct
4 Correct 451 ms 41228 KB Output is correct
5 Correct 855 ms 37620 KB Output is correct
6 Correct 508 ms 41128 KB Output is correct
7 Correct 911 ms 37964 KB Output is correct
8 Correct 477 ms 41004 KB Output is correct
9 Correct 1025 ms 36264 KB Output is correct
10 Correct 1057 ms 33824 KB Output is correct
11 Correct 1068 ms 36684 KB Output is correct
12 Correct 1111 ms 39328 KB Output is correct
13 Correct 1043 ms 33392 KB Output is correct
14 Correct 1098 ms 39684 KB Output is correct
15 Correct 1020 ms 39288 KB Output is correct
16 Correct 1004 ms 34352 KB Output is correct
17 Correct 969 ms 34808 KB Output is correct
18 Correct 1142 ms 35100 KB Output is correct
19 Correct 1060 ms 38172 KB Output is correct
20 Correct 985 ms 40500 KB Output is correct
21 Correct 6 ms 9676 KB Output is correct

Subtask #4
59.0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 9700 KB Output is correct
2 Correct 7 ms 9676 KB Output is correct
3 Correct 6 ms 9676 KB Output is correct
4 Correct 6 ms 9676 KB Output is correct
5 Correct 6 ms 9704 KB Output is correct
6 Correct 7 ms 9704 KB Output is correct
7 Correct 6 ms 9676 KB Output is correct
8 Correct 7 ms 9720 KB Output is correct
9 Correct 6 ms 9676 KB Output is correct
10 Correct 7 ms 9712 KB Output is correct
11 Correct 9 ms 9844 KB Output is correct
12 Correct 10 ms 9804 KB Output is correct
13 Correct 9 ms 9804 KB Output is correct
14 Correct 9 ms 9848 KB Output is correct
15 Correct 11 ms 9804 KB Output is correct
16 Correct 10 ms 9804 KB Output is correct
17 Correct 9 ms 9932 KB Output is correct
18 Correct 11 ms 9848 KB Output is correct
19 Correct 10 ms 9932 KB Output is correct
20 Correct 11 ms 9932 KB Output is correct
21 Correct 9 ms 9840 KB Output is correct
22 Correct 9 ms 9932 KB Output is correct
23 Correct 10 ms 9932 KB Output is correct
24 Correct 10 ms 9816 KB Output is correct
25 Correct 10 ms 9932 KB Output is correct
26 Correct 10 ms 10008 KB Output is correct
27 Correct 11 ms 9932 KB Output is correct
28 Correct 10 ms 9932 KB Output is correct
29 Correct 20 ms 9844 KB Output is correct
30 Correct 11 ms 9932 KB Output is correct
31 Correct 868 ms 40728 KB Output is correct
32 Correct 464 ms 41208 KB Output is correct
33 Correct 789 ms 40408 KB Output is correct
34 Correct 451 ms 41228 KB Output is correct
35 Correct 855 ms 37620 KB Output is correct
36 Correct 508 ms 41128 KB Output is correct
37 Correct 911 ms 37964 KB Output is correct
38 Correct 477 ms 41004 KB Output is correct
39 Correct 1025 ms 36264 KB Output is correct
40 Correct 1057 ms 33824 KB Output is correct
41 Correct 1068 ms 36684 KB Output is correct
42 Correct 1111 ms 39328 KB Output is correct
43 Correct 1043 ms 33392 KB Output is correct
44 Correct 1098 ms 39684 KB Output is correct
45 Correct 1020 ms 39288 KB Output is correct
46 Correct 1004 ms 34352 KB Output is correct
47 Correct 969 ms 34808 KB Output is correct
48 Correct 1142 ms 35100 KB Output is correct
49 Correct 1060 ms 38172 KB Output is correct
50 Correct 985 ms 40500 KB Output is correct
51 Correct 6 ms 9676 KB Output is correct
52 Correct 902 ms 24196 KB Output is correct
53 Correct 800 ms 24260 KB Output is correct
54 Correct 795 ms 24164 KB Output is correct
55 Correct 880 ms 24272 KB Output is correct
56 Correct 838 ms 24288 KB Output is correct
57 Correct 765 ms 24172 KB Output is correct
58 Correct 694 ms 27844 KB Output is correct
59 Correct 708 ms 28044 KB Output is correct
60 Correct 882 ms 27464 KB Output is correct
61 Correct 970 ms 27208 KB Output is correct
62 Correct 454 ms 41232 KB Output is correct
63 Correct 426 ms 41324 KB Output is correct
64 Correct 431 ms 41016 KB Output is correct
65 Correct 426 ms 41392 KB Output is correct
66 Correct 597 ms 32788 KB Output is correct
67 Correct 610 ms 32548 KB Output is correct
68 Correct 643 ms 32704 KB Output is correct
69 Correct 548 ms 32716 KB Output is correct
70 Correct 543 ms 32572 KB Output is correct
71 Correct 662 ms 32624 KB Output is correct
72 Correct 564 ms 32572 KB Output is correct
73 Correct 579 ms 31808 KB Output is correct
74 Correct 616 ms 32720 KB Output is correct
75 Correct 596 ms 32832 KB Output is correct
76 Correct 813 ms 31600 KB Output is correct
77 Correct 820 ms 29672 KB Output is correct
78 Correct 991 ms 34744 KB Output is correct
79 Correct 1046 ms 32860 KB Output is correct
80 Correct 1018 ms 39952 KB Output is correct
81 Correct 1077 ms 36428 KB Output is correct
82 Correct 1066 ms 36584 KB Output is correct
83 Correct 1006 ms 33212 KB Output is correct
84 Correct 978 ms 39236 KB Output is correct
85 Correct 1049 ms 37468 KB Output is correct
86 Correct 1004 ms 32732 KB Output is correct
87 Correct 953 ms 34460 KB Output is correct
88 Correct 972 ms 35628 KB Output is correct
89 Correct 896 ms 31656 KB Output is correct
90 Correct 901 ms 31372 KB Output is correct
91 Correct 923 ms 33820 KB Output is correct
92 Correct 907 ms 32352 KB Output is correct
93 Correct 887 ms 32084 KB Output is correct
94 Correct 890 ms 31436 KB Output is correct
95 Correct 946 ms 32952 KB Output is correct
96 Correct 926 ms 31764 KB Output is correct
97 Correct 863 ms 33752 KB Output is correct