oj.uz

Submission #138038

# Submission time Handle Problem Language Result Execution time Memory
138038 2019-07-29T06:16:49 Z rajarshi_basu Mergers (JOI19_mergers) C++14
100 / 100
 831 ms 85592 KB 
#include <bits/stdc++.h>

#define FOR(i,n) for(int i=0;i<n;i++)
#define FORE(i,a,b) for(int i = a;i<=b;i++)
#define ll long long int
#define pb push_back
#define vi vector<int>
#define ff first
#define ss second
#define vv vector
#define ii pair<int,int>

using namespace std;

const int MAXN = 5e5 + 1;
const int LOGN = 20;

int n,k;


vi g[MAXN];
int color[MAXN];
vi verticesOfColor[MAXN];
int sparseTable[LOGN][MAXN];
int depth[MAXN];
int degree[MAXN];

void dfs_setup(int node,int p = -1){
	sparseTable[0][node] = p;
	if(p == -1)depth[node] = -1;else depth[node] = depth[p] + 1;
	for(auto e : g[node]){
		if(e != p)dfs_setup(e,node);
	}
}

struct DSU{
	int parent[MAXN];
	int ID[MAXN];
	void init(){
		FOR(i,n) parent[i] = i;
		FOR(i,n) ID[i] = i;
	}
	inline int find(int a){
		if(parent[a] != a)parent[a] = find(parent[a]);
		return parent[a];
	}
	inline void merge(int a,int b){
		int pa = find(a);
		int pb = find(b);
		if(depth[pa] > depth[pb])swap(pa,pb);
		parent[pb] = pa;
		//parent[pa] = pb;
		//if(depth[pa] < depth[pb])ID[pb] = pa;else ID[pb] = pa;
	}
	inline int id(int a){
		return find(a);
		//return ID[find(a)];
	}
	inline bool isSame(int a,int b){
		return find(a) == find(b);
	}
} dsu;

bool done[MAXN];

int main(){
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cin >> n >> k;
	vv<ii> allE;
	FOR(i,n-1){
		int a,b;cin >> a >> b;a--;b--;
		g[a].pb(b);g[b].pb(a);
		allE.pb({a,b});
	}
	dfs_setup(0);
	FOR(i,n){
		int a;cin >> a;a--;
		color[i] = a;
		verticesOfColor[a].pb(i);
	}
	dsu.init();
	FOR(i,k){
		if(verticesOfColor[i].size() == 1)continue;
		FORE(j,1,(int)verticesOfColor[i].size()-1){
			int node1 = dsu.id(verticesOfColor[i][j]);
			int node2 = dsu.id(verticesOfColor[i][j-1]);
			while(node1 != node2){
				if(depth[node1] > depth[node2])swap(node1,node2);
				int p = dsu.id(sparseTable[0][node2]);
				if(p == -1)p = 0;
				dsu.merge(p,node2);
		//		cout << node2 << " " << node1 << " " << p << endl;
				node2 = p;
				
			}
		}
	}
	//FOR(i,n)cout << dsu.find(i) << endl;
	for(auto e : allE)if(!dsu.isSame(e.ff,e.ss))degree[dsu.find(e.ff)]++,degree[dsu.find(e.ss)]++;
	int cnt = 1;
	FOR(i,n)if(degree[i] == 1)cnt++;
	cout << cnt/2 << endl;
	return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 23928 KB Output is correct
2 Correct 24 ms 23928 KB Output is correct
3 Correct 24 ms 23800 KB Output is correct
4 Correct 24 ms 23800 KB Output is correct
5 Correct 29 ms 23928 KB Output is correct
6 Correct 24 ms 23800 KB Output is correct
7 Correct 23 ms 23900 KB Output is correct
8 Correct 24 ms 23928 KB Output is correct
9 Correct 24 ms 23928 KB Output is correct
10 Correct 24 ms 23928 KB Output is correct
11 Correct 24 ms 23928 KB Output is correct
12 Correct 23 ms 23800 KB Output is correct
13 Correct 25 ms 23928 KB Output is correct
14 Correct 24 ms 23800 KB Output is correct
15 Correct 24 ms 23928 KB Output is correct
16 Correct 24 ms 23900 KB Output is correct
17 Correct 24 ms 23928 KB Output is correct
18 Correct 24 ms 23800 KB Output is correct
19 Correct 28 ms 23928 KB Output is correct
20 Correct 24 ms 23928 KB Output is correct
21 Correct 29 ms 23928 KB Output is correct
22 Correct 24 ms 24028 KB Output is correct
23 Correct 24 ms 23932 KB Output is correct
24 Correct 28 ms 23928 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 23928 KB Output is correct
2 Correct 24 ms 23928 KB Output is correct
3 Correct 24 ms 23800 KB Output is correct
4 Correct 24 ms 23800 KB Output is correct
5 Correct 29 ms 23928 KB Output is correct
6 Correct 24 ms 23800 KB Output is correct
7 Correct 23 ms 23900 KB Output is correct
8 Correct 24 ms 23928 KB Output is correct
9 Correct 24 ms 23928 KB Output is correct
10 Correct 24 ms 23928 KB Output is correct
11 Correct 24 ms 23928 KB Output is correct
12 Correct 23 ms 23800 KB Output is correct
13 Correct 25 ms 23928 KB Output is correct
14 Correct 24 ms 23800 KB Output is correct
15 Correct 24 ms 23928 KB Output is correct
16 Correct 24 ms 23900 KB Output is correct
17 Correct 24 ms 23928 KB Output is correct
18 Correct 24 ms 23800 KB Output is correct
19 Correct 28 ms 23928 KB Output is correct
20 Correct 24 ms 23928 KB Output is correct
21 Correct 29 ms 23928 KB Output is correct
22 Correct 24 ms 24028 KB Output is correct
23 Correct 24 ms 23932 KB Output is correct
24 Correct 28 ms 23928 KB Output is correct
25 Correct 23 ms 23900 KB Output is correct
26 Correct 26 ms 24184 KB Output is correct
27 Correct 26 ms 24056 KB Output is correct
28 Correct 26 ms 24184 KB Output is correct
29 Correct 26 ms 24184 KB Output is correct
30 Correct 26 ms 24148 KB Output is correct
31 Correct 23 ms 23928 KB Output is correct
32 Correct 26 ms 24312 KB Output is correct
33 Correct 24 ms 23928 KB Output is correct
34 Correct 26 ms 24056 KB Output is correct
35 Correct 26 ms 24184 KB Output is correct
36 Correct 26 ms 24056 KB Output is correct
37 Correct 26 ms 24184 KB Output is correct
38 Correct 24 ms 23932 KB Output is correct
39 Correct 26 ms 24156 KB Output is correct
40 Correct 26 ms 24184 KB Output is correct
41 Correct 26 ms 24056 KB Output is correct
42 Correct 26 ms 24184 KB Output is correct
43 Correct 26 ms 24312 KB Output is correct
44 Correct 24 ms 23928 KB Output is correct
45 Correct 26 ms 24184 KB Output is correct
46 Correct 26 ms 24184 KB Output is correct
47 Correct 24 ms 23800 KB Output is correct
48 Correct 26 ms 24184 KB Output is correct
49 Correct 26 ms 24184 KB Output is correct
50 Correct 26 ms 24312 KB Output is correct
51 Correct 26 ms 24184 KB Output is correct
52 Correct 26 ms 24184 KB Output is correct
53 Correct 31 ms 24188 KB Output is correct
54 Correct 25 ms 24056 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 23928 KB Output is correct
2 Correct 24 ms 23928 KB Output is correct
3 Correct 24 ms 23800 KB Output is correct
4 Correct 24 ms 23800 KB Output is correct
5 Correct 29 ms 23928 KB Output is correct
6 Correct 24 ms 23800 KB Output is correct
7 Correct 23 ms 23900 KB Output is correct
8 Correct 24 ms 23928 KB Output is correct
9 Correct 24 ms 23928 KB Output is correct
10 Correct 24 ms 23928 KB Output is correct
11 Correct 24 ms 23928 KB Output is correct
12 Correct 23 ms 23800 KB Output is correct
13 Correct 25 ms 23928 KB Output is correct
14 Correct 24 ms 23800 KB Output is correct
15 Correct 24 ms 23928 KB Output is correct
16 Correct 24 ms 23900 KB Output is correct
17 Correct 24 ms 23928 KB Output is correct
18 Correct 24 ms 23800 KB Output is correct
19 Correct 28 ms 23928 KB Output is correct
20 Correct 24 ms 23928 KB Output is correct
21 Correct 29 ms 23928 KB Output is correct
22 Correct 24 ms 24028 KB Output is correct
23 Correct 24 ms 23932 KB Output is correct
24 Correct 28 ms 23928 KB Output is correct
25 Correct 28 ms 23800 KB Output is correct
26 Correct 85 ms 31296 KB Output is correct
27 Correct 105 ms 30920 KB Output is correct
28 Correct 26 ms 24056 KB Output is correct
29 Correct 23 ms 23800 KB Output is correct
30 Correct 24 ms 23928 KB Output is correct
31 Correct 106 ms 31088 KB Output is correct
32 Correct 25 ms 24184 KB Output is correct
33 Correct 151 ms 35180 KB Output is correct
34 Correct 103 ms 30872 KB Output is correct
35 Correct 26 ms 24184 KB Output is correct
36 Correct 111 ms 31336 KB Output is correct
37 Correct 30 ms 24056 KB Output is correct
38 Correct 26 ms 24056 KB Output is correct
39 Correct 90 ms 31316 KB Output is correct
40 Correct 25 ms 24288 KB Output is correct
41 Correct 116 ms 31340 KB Output is correct
42 Correct 113 ms 32232 KB Output is correct
43 Correct 24 ms 23928 KB Output is correct
44 Correct 122 ms 35704 KB Output is correct
45 Correct 113 ms 33108 KB Output is correct
46 Correct 25 ms 24056 KB Output is correct
47 Correct 25 ms 24184 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 87 ms 31052 KB Output is correct
2 Correct 100 ms 34140 KB Output is correct
3 Correct 26 ms 24184 KB Output is correct
4 Correct 26 ms 24156 KB Output is correct
5 Correct 27 ms 23860 KB Output is correct
6 Correct 27 ms 23928 KB Output is correct
7 Correct 25 ms 24184 KB Output is correct
8 Correct 124 ms 32360 KB Output is correct
9 Correct 26 ms 24184 KB Output is correct
10 Correct 108 ms 31292 KB Output is correct
11 Correct 24 ms 23928 KB Output is correct
12 Correct 120 ms 31208 KB Output is correct
13 Correct 133 ms 32364 KB Output is correct
14 Correct 125 ms 33940 KB Output is correct
15 Correct 91 ms 31208 KB Output is correct
16 Correct 26 ms 24184 KB Output is correct
17 Correct 24 ms 23920 KB Output is correct
18 Correct 113 ms 33900 KB Output is correct
19 Correct 186 ms 36268 KB Output is correct
20 Correct 26 ms 24184 KB Output is correct
21 Correct 24 ms 24056 KB Output is correct
22 Correct 100 ms 32616 KB Output is correct
23 Correct 26 ms 24184 KB Output is correct
24 Correct 117 ms 31704 KB Output is correct
25 Correct 112 ms 35532 KB Output is correct
26 Correct 26 ms 24184 KB Output is correct
27 Correct 26 ms 24312 KB Output is correct
28 Correct 26 ms 24184 KB Output is correct
29 Correct 25 ms 24184 KB Output is correct
30 Correct 30 ms 24088 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 23928 KB Output is correct
2 Correct 24 ms 23928 KB Output is correct
3 Correct 24 ms 23800 KB Output is correct
4 Correct 24 ms 23800 KB Output is correct
5 Correct 29 ms 23928 KB Output is correct
6 Correct 24 ms 23800 KB Output is correct
7 Correct 23 ms 23900 KB Output is correct
8 Correct 24 ms 23928 KB Output is correct
9 Correct 24 ms 23928 KB Output is correct
10 Correct 24 ms 23928 KB Output is correct
11 Correct 24 ms 23928 KB Output is correct
12 Correct 23 ms 23800 KB Output is correct
13 Correct 25 ms 23928 KB Output is correct
14 Correct 24 ms 23800 KB Output is correct
15 Correct 24 ms 23928 KB Output is correct
16 Correct 24 ms 23900 KB Output is correct
17 Correct 24 ms 23928 KB Output is correct
18 Correct 24 ms 23800 KB Output is correct
19 Correct 28 ms 23928 KB Output is correct
20 Correct 24 ms 23928 KB Output is correct
21 Correct 29 ms 23928 KB Output is correct
22 Correct 24 ms 24028 KB Output is correct
23 Correct 24 ms 23932 KB Output is correct
24 Correct 28 ms 23928 KB Output is correct
25 Correct 23 ms 23900 KB Output is correct
26 Correct 26 ms 24184 KB Output is correct
27 Correct 26 ms 24056 KB Output is correct
28 Correct 26 ms 24184 KB Output is correct
29 Correct 26 ms 24184 KB Output is correct
30 Correct 26 ms 24148 KB Output is correct
31 Correct 23 ms 23928 KB Output is correct
32 Correct 26 ms 24312 KB Output is correct
33 Correct 24 ms 23928 KB Output is correct
34 Correct 26 ms 24056 KB Output is correct
35 Correct 26 ms 24184 KB Output is correct
36 Correct 26 ms 24056 KB Output is correct
37 Correct 26 ms 24184 KB Output is correct
38 Correct 24 ms 23932 KB Output is correct
39 Correct 26 ms 24156 KB Output is correct
40 Correct 26 ms 24184 KB Output is correct
41 Correct 26 ms 24056 KB Output is correct
42 Correct 26 ms 24184 KB Output is correct
43 Correct 26 ms 24312 KB Output is correct
44 Correct 24 ms 23928 KB Output is correct
45 Correct 26 ms 24184 KB Output is correct
46 Correct 26 ms 24184 KB Output is correct
47 Correct 24 ms 23800 KB Output is correct
48 Correct 26 ms 24184 KB Output is correct
49 Correct 26 ms 24184 KB Output is correct
50 Correct 26 ms 24312 KB Output is correct
51 Correct 26 ms 24184 KB Output is correct
52 Correct 26 ms 24184 KB Output is correct
53 Correct 31 ms 24188 KB Output is correct
54 Correct 25 ms 24056 KB Output is correct
55 Correct 28 ms 23800 KB Output is correct
56 Correct 85 ms 31296 KB Output is correct
57 Correct 105 ms 30920 KB Output is correct
58 Correct 26 ms 24056 KB Output is correct
59 Correct 23 ms 23800 KB Output is correct
60 Correct 24 ms 23928 KB Output is correct
61 Correct 106 ms 31088 KB Output is correct
62 Correct 25 ms 24184 KB Output is correct
63 Correct 151 ms 35180 KB Output is correct
64 Correct 103 ms 30872 KB Output is correct
65 Correct 26 ms 24184 KB Output is correct
66 Correct 111 ms 31336 KB Output is correct
67 Correct 30 ms 24056 KB Output is correct
68 Correct 26 ms 24056 KB Output is correct
69 Correct 90 ms 31316 KB Output is correct
70 Correct 25 ms 24288 KB Output is correct
71 Correct 116 ms 31340 KB Output is correct
72 Correct 113 ms 32232 KB Output is correct
73 Correct 24 ms 23928 KB Output is correct
74 Correct 122 ms 35704 KB Output is correct
75 Correct 113 ms 33108 KB Output is correct
76 Correct 25 ms 24056 KB Output is correct
77 Correct 25 ms 24184 KB Output is correct
78 Correct 87 ms 31052 KB Output is correct
79 Correct 100 ms 34140 KB Output is correct
80 Correct 26 ms 24184 KB Output is correct
81 Correct 26 ms 24156 KB Output is correct
82 Correct 27 ms 23860 KB Output is correct
83 Correct 27 ms 23928 KB Output is correct
84 Correct 25 ms 24184 KB Output is correct
85 Correct 124 ms 32360 KB Output is correct
86 Correct 26 ms 24184 KB Output is correct
87 Correct 108 ms 31292 KB Output is correct
88 Correct 24 ms 23928 KB Output is correct
89 Correct 120 ms 31208 KB Output is correct
90 Correct 133 ms 32364 KB Output is correct
91 Correct 125 ms 33940 KB Output is correct
92 Correct 91 ms 31208 KB Output is correct
93 Correct 26 ms 24184 KB Output is correct
94 Correct 24 ms 23920 KB Output is correct
95 Correct 113 ms 33900 KB Output is correct
96 Correct 186 ms 36268 KB Output is correct
97 Correct 26 ms 24184 KB Output is correct
98 Correct 24 ms 24056 KB Output is correct
99 Correct 100 ms 32616 KB Output is correct
100 Correct 26 ms 24184 KB Output is correct
101 Correct 117 ms 31704 KB Output is correct
102 Correct 112 ms 35532 KB Output is correct
103 Correct 26 ms 24184 KB Output is correct
104 Correct 26 ms 24312 KB Output is correct
105 Correct 26 ms 24184 KB Output is correct
106 Correct 25 ms 24184 KB Output is correct
107 Correct 30 ms 24088 KB Output is correct
108 Correct 564 ms 64264 KB Output is correct
109 Correct 688 ms 68588 KB Output is correct
110 Correct 698 ms 75744 KB Output is correct
111 Correct 826 ms 85592 KB Output is correct
112 Correct 831 ms 79580 KB Output is correct
113 Correct 724 ms 71860 KB Output is correct
114 Correct 586 ms 57564 KB Output is correct
115 Correct 574 ms 58332 KB Output is correct
116 Correct 739 ms 60776 KB Output is correct
117 Correct 723 ms 71772 KB Output is correct
118 Correct 609 ms 58164 KB Output is correct
119 Correct 743 ms 71964 KB Output is correct
120 Correct 752 ms 79840 KB Output is correct
121 Correct 737 ms 71748 KB Output is correct
122 Correct 817 ms 65372 KB Output is correct
123 Correct 531 ms 73176 KB Output is correct
124 Correct 784 ms 70636 KB Output is correct