oj.uz

Submission #330891

# Submission time Handle Problem Language Result Execution time Memory
330891 2020-11-26T20:13:50 Z limabeans Mergers (JOI19_mergers) C++17
100 / 100
 1498 ms 137580 KB 
#include <bits/stdc++.h>
using namespace std;

template<typename T>
void out(T x) { cout << x << endl; exit(0); }
#define watch(x) cout << (#x) << " is " << (x) << endl





using ll = long long;


const int maxn = 5e5 + 10;



int n, k;
vector<int> g[maxn];
int a[maxn];


const int LOG = 20;
int dep[maxn];
int par[LOG+1][maxn];

void dfs(int at, int p) {
    for (int j=1; j<LOG; j++) {
	par[j][at] = par[j-1][par[j-1][at]];
    }
    
    for (int to: g[at]) {
	if (to == p) continue;
	par[0][to] = at;
	dep[to] = 1+dep[at];
	dfs(to, at);
    }
}

int lca(int u, int v) {
    if (dep[u]>dep[v]) {
	swap(u,v);
    }
    // u
    // v

    int dx = dep[v]-dep[u];
    for (int j=LOG-1; j>=0; j--) {
	if (dx>>j&1) {
	    v = par[j][v];
	}
    }

    if (u==v) return u;

    for (int j=LOG-1; j>=0; j--) {
	if (par[j][u] != par[j][v]) {
	    u = par[j][u];
	    v = par[j][v];
	}
    }

    return par[0][v];
}

vector<int> nodes[maxn];
int dp[maxn];


void dfs2(int at, int p) {
    for (int to: g[at]) {
	if (to == p) continue;
	dfs2(to, at);
	dp[at] += dp[to];
    }
}


int deg[maxn];
int P[maxn];


void dfs3(int at, int p) {
    if (dp[at]==0) {
	if (p!=-1) {
	    // add edge
	    // p-->at
	    if (at != p) {
		deg[at]++;
		deg[P[p]]++;
	    }
	    P[at] = at;
	}
    } else {
	P[at] = P[p];
    }
    
    for (int to: g[at]) {
	if (to == p) continue;
	dfs3(to, at);
    }
}

int main() {
    ios_base::sync_with_stdio(false); cin.tie(0);  cout.tie(0);

    cin>>n>>k;
    for (int i=0; i<n-1; i++) {
	int u,v; cin>>u>>v;
	--u; --v;
	g[u].push_back(v);
	g[v].push_back(u);
    }

    for (int i=0; i<n; i++) {
	cin>>a[i];
	--a[i];
	nodes[a[i]].push_back(i);
    }

    dfs(0, -1);

    for (int i=0; i<n; i++) {
	dp[i] = 1;
    }

    for (int j=0; j<k; j++) {
	int mid = nodes[j][0];
	for (int x: nodes[j]) {
	    mid = lca(mid, x);
	}
	dp[mid] -= nodes[j].size();
    }


    dfs2(0, -1);

    // for (int i=0; i<n; i++) {
    // 	cout<<i<<": "<<dp[i]<<endl;
    // }


    dfs3(0, -1);

    int leaves = 0;
    for (int i=0; i<n; i++) {
	if (deg[i]==1) leaves++;
    }



    cout<<(leaves+1)/2<<endl;
    return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 24044 KB Output is correct
2 Correct 17 ms 24044 KB Output is correct
3 Correct 16 ms 24044 KB Output is correct
4 Correct 17 ms 24044 KB Output is correct
5 Correct 18 ms 24044 KB Output is correct
6 Correct 16 ms 24044 KB Output is correct
7 Correct 17 ms 24044 KB Output is correct
8 Correct 17 ms 24044 KB Output is correct
9 Correct 17 ms 24172 KB Output is correct
10 Correct 16 ms 24044 KB Output is correct
11 Correct 17 ms 24044 KB Output is correct
12 Correct 17 ms 24044 KB Output is correct
13 Correct 16 ms 24044 KB Output is correct
14 Correct 17 ms 24300 KB Output is correct
15 Correct 16 ms 24044 KB Output is correct
16 Correct 17 ms 24044 KB Output is correct
17 Correct 16 ms 24044 KB Output is correct
18 Correct 17 ms 24064 KB Output is correct
19 Correct 16 ms 24044 KB Output is correct
20 Correct 16 ms 24044 KB Output is correct
21 Correct 17 ms 24044 KB Output is correct
22 Correct 17 ms 24044 KB Output is correct
23 Correct 16 ms 24044 KB Output is correct
24 Correct 16 ms 24044 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 24044 KB Output is correct
2 Correct 17 ms 24044 KB Output is correct
3 Correct 16 ms 24044 KB Output is correct
4 Correct 17 ms 24044 KB Output is correct
5 Correct 18 ms 24044 KB Output is correct
6 Correct 16 ms 24044 KB Output is correct
7 Correct 17 ms 24044 KB Output is correct
8 Correct 17 ms 24044 KB Output is correct
9 Correct 17 ms 24172 KB Output is correct
10 Correct 16 ms 24044 KB Output is correct
11 Correct 17 ms 24044 KB Output is correct
12 Correct 17 ms 24044 KB Output is correct
13 Correct 16 ms 24044 KB Output is correct
14 Correct 17 ms 24300 KB Output is correct
15 Correct 16 ms 24044 KB Output is correct
16 Correct 17 ms 24044 KB Output is correct
17 Correct 16 ms 24044 KB Output is correct
18 Correct 17 ms 24064 KB Output is correct
19 Correct 16 ms 24044 KB Output is correct
20 Correct 16 ms 24044 KB Output is correct
21 Correct 17 ms 24044 KB Output is correct
22 Correct 17 ms 24044 KB Output is correct
23 Correct 16 ms 24044 KB Output is correct
24 Correct 16 ms 24044 KB Output is correct
25 Correct 17 ms 24044 KB Output is correct
26 Correct 19 ms 24556 KB Output is correct
27 Correct 18 ms 24428 KB Output is correct
28 Correct 19 ms 24832 KB Output is correct
29 Correct 19 ms 24556 KB Output is correct
30 Correct 19 ms 24428 KB Output is correct
31 Correct 16 ms 24064 KB Output is correct
32 Correct 19 ms 24684 KB Output is correct
33 Correct 16 ms 24044 KB Output is correct
34 Correct 18 ms 24428 KB Output is correct
35 Correct 19 ms 24556 KB Output is correct
36 Correct 19 ms 24428 KB Output is correct
37 Correct 19 ms 24428 KB Output is correct
38 Correct 17 ms 24064 KB Output is correct
39 Correct 19 ms 24428 KB Output is correct
40 Correct 19 ms 24428 KB Output is correct
41 Correct 18 ms 24428 KB Output is correct
42 Correct 19 ms 24556 KB Output is correct
43 Correct 19 ms 24684 KB Output is correct
44 Correct 16 ms 24044 KB Output is correct
45 Correct 19 ms 24556 KB Output is correct
46 Correct 20 ms 24428 KB Output is correct
47 Correct 18 ms 24044 KB Output is correct
48 Correct 19 ms 24428 KB Output is correct
49 Correct 18 ms 24556 KB Output is correct
50 Correct 19 ms 24556 KB Output is correct
51 Correct 19 ms 24428 KB Output is correct
52 Correct 18 ms 24448 KB Output is correct
53 Correct 19 ms 24556 KB Output is correct
54 Correct 18 ms 24428 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 24044 KB Output is correct
2 Correct 17 ms 24044 KB Output is correct
3 Correct 16 ms 24044 KB Output is correct
4 Correct 17 ms 24044 KB Output is correct
5 Correct 18 ms 24044 KB Output is correct
6 Correct 16 ms 24044 KB Output is correct
7 Correct 17 ms 24044 KB Output is correct
8 Correct 17 ms 24044 KB Output is correct
9 Correct 17 ms 24172 KB Output is correct
10 Correct 16 ms 24044 KB Output is correct
11 Correct 17 ms 24044 KB Output is correct
12 Correct 17 ms 24044 KB Output is correct
13 Correct 16 ms 24044 KB Output is correct
14 Correct 17 ms 24300 KB Output is correct
15 Correct 16 ms 24044 KB Output is correct
16 Correct 17 ms 24044 KB Output is correct
17 Correct 16 ms 24044 KB Output is correct
18 Correct 17 ms 24064 KB Output is correct
19 Correct 16 ms 24044 KB Output is correct
20 Correct 16 ms 24044 KB Output is correct
21 Correct 17 ms 24044 KB Output is correct
22 Correct 17 ms 24044 KB Output is correct
23 Correct 16 ms 24044 KB Output is correct
24 Correct 16 ms 24044 KB Output is correct
25 Correct 16 ms 24044 KB Output is correct
26 Correct 99 ms 38884 KB Output is correct
27 Correct 143 ms 38636 KB Output is correct
28 Correct 19 ms 24448 KB Output is correct
29 Correct 17 ms 24044 KB Output is correct
30 Correct 17 ms 24044 KB Output is correct
31 Correct 143 ms 38764 KB Output is correct
32 Correct 19 ms 24428 KB Output is correct
33 Correct 191 ms 45804 KB Output is correct
34 Correct 145 ms 38636 KB Output is correct
35 Correct 27 ms 24428 KB Output is correct
36 Correct 165 ms 39532 KB Output is correct
37 Correct 19 ms 24428 KB Output is correct
38 Correct 18 ms 24428 KB Output is correct
39 Correct 100 ms 38884 KB Output is correct
40 Correct 19 ms 24684 KB Output is correct
41 Correct 133 ms 38628 KB Output is correct
42 Correct 175 ms 41068 KB Output is correct
43 Correct 18 ms 24064 KB Output is correct
44 Correct 181 ms 45936 KB Output is correct
45 Correct 181 ms 42476 KB Output is correct
46 Correct 18 ms 24428 KB Output is correct
47 Correct 18 ms 24428 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 98 ms 38756 KB Output is correct
2 Correct 124 ms 41700 KB Output is correct
3 Correct 19 ms 24556 KB Output is correct
4 Correct 19 ms 24556 KB Output is correct
5 Correct 17 ms 24044 KB Output is correct
6 Correct 17 ms 24044 KB Output is correct
7 Correct 18 ms 24428 KB Output is correct
8 Correct 174 ms 40428 KB Output is correct
9 Correct 19 ms 24428 KB Output is correct
10 Correct 149 ms 39276 KB Output is correct
11 Correct 16 ms 24044 KB Output is correct
12 Correct 163 ms 39148 KB Output is correct
13 Correct 172 ms 40300 KB Output is correct
14 Correct 159 ms 41964 KB Output is correct
15 Correct 104 ms 38884 KB Output is correct
16 Correct 19 ms 24556 KB Output is correct
17 Correct 16 ms 24044 KB Output is correct
18 Correct 128 ms 41828 KB Output is correct
19 Correct 195 ms 45804 KB Output is correct
20 Correct 19 ms 24428 KB Output is correct
21 Correct 16 ms 24044 KB Output is correct
22 Correct 133 ms 40548 KB Output is correct
23 Correct 18 ms 24428 KB Output is correct
24 Correct 163 ms 39532 KB Output is correct
25 Correct 199 ms 44524 KB Output is correct
26 Correct 18 ms 24556 KB Output is correct
27 Correct 18 ms 24556 KB Output is correct
28 Correct 19 ms 24428 KB Output is correct
29 Correct 18 ms 24428 KB Output is correct
30 Correct 18 ms 24556 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 24044 KB Output is correct
2 Correct 17 ms 24044 KB Output is correct
3 Correct 16 ms 24044 KB Output is correct
4 Correct 17 ms 24044 KB Output is correct
5 Correct 18 ms 24044 KB Output is correct
6 Correct 16 ms 24044 KB Output is correct
7 Correct 17 ms 24044 KB Output is correct
8 Correct 17 ms 24044 KB Output is correct
9 Correct 17 ms 24172 KB Output is correct
10 Correct 16 ms 24044 KB Output is correct
11 Correct 17 ms 24044 KB Output is correct
12 Correct 17 ms 24044 KB Output is correct
13 Correct 16 ms 24044 KB Output is correct
14 Correct 17 ms 24300 KB Output is correct
15 Correct 16 ms 24044 KB Output is correct
16 Correct 17 ms 24044 KB Output is correct
17 Correct 16 ms 24044 KB Output is correct
18 Correct 17 ms 24064 KB Output is correct
19 Correct 16 ms 24044 KB Output is correct
20 Correct 16 ms 24044 KB Output is correct
21 Correct 17 ms 24044 KB Output is correct
22 Correct 17 ms 24044 KB Output is correct
23 Correct 16 ms 24044 KB Output is correct
24 Correct 16 ms 24044 KB Output is correct
25 Correct 17 ms 24044 KB Output is correct
26 Correct 19 ms 24556 KB Output is correct
27 Correct 18 ms 24428 KB Output is correct
28 Correct 19 ms 24832 KB Output is correct
29 Correct 19 ms 24556 KB Output is correct
30 Correct 19 ms 24428 KB Output is correct
31 Correct 16 ms 24064 KB Output is correct
32 Correct 19 ms 24684 KB Output is correct
33 Correct 16 ms 24044 KB Output is correct
34 Correct 18 ms 24428 KB Output is correct
35 Correct 19 ms 24556 KB Output is correct
36 Correct 19 ms 24428 KB Output is correct
37 Correct 19 ms 24428 KB Output is correct
38 Correct 17 ms 24064 KB Output is correct
39 Correct 19 ms 24428 KB Output is correct
40 Correct 19 ms 24428 KB Output is correct
41 Correct 18 ms 24428 KB Output is correct
42 Correct 19 ms 24556 KB Output is correct
43 Correct 19 ms 24684 KB Output is correct
44 Correct 16 ms 24044 KB Output is correct
45 Correct 19 ms 24556 KB Output is correct
46 Correct 20 ms 24428 KB Output is correct
47 Correct 18 ms 24044 KB Output is correct
48 Correct 19 ms 24428 KB Output is correct
49 Correct 18 ms 24556 KB Output is correct
50 Correct 19 ms 24556 KB Output is correct
51 Correct 19 ms 24428 KB Output is correct
52 Correct 18 ms 24448 KB Output is correct
53 Correct 19 ms 24556 KB Output is correct
54 Correct 18 ms 24428 KB Output is correct
55 Correct 16 ms 24044 KB Output is correct
56 Correct 99 ms 38884 KB Output is correct
57 Correct 143 ms 38636 KB Output is correct
58 Correct 19 ms 24448 KB Output is correct
59 Correct 17 ms 24044 KB Output is correct
60 Correct 17 ms 24044 KB Output is correct
61 Correct 143 ms 38764 KB Output is correct
62 Correct 19 ms 24428 KB Output is correct
63 Correct 191 ms 45804 KB Output is correct
64 Correct 145 ms 38636 KB Output is correct
65 Correct 27 ms 24428 KB Output is correct
66 Correct 165 ms 39532 KB Output is correct
67 Correct 19 ms 24428 KB Output is correct
68 Correct 18 ms 24428 KB Output is correct
69 Correct 100 ms 38884 KB Output is correct
70 Correct 19 ms 24684 KB Output is correct
71 Correct 133 ms 38628 KB Output is correct
72 Correct 175 ms 41068 KB Output is correct
73 Correct 18 ms 24064 KB Output is correct
74 Correct 181 ms 45936 KB Output is correct
75 Correct 181 ms 42476 KB Output is correct
76 Correct 18 ms 24428 KB Output is correct
77 Correct 18 ms 24428 KB Output is correct
78 Correct 98 ms 38756 KB Output is correct
79 Correct 124 ms 41700 KB Output is correct
80 Correct 19 ms 24556 KB Output is correct
81 Correct 19 ms 24556 KB Output is correct
82 Correct 17 ms 24044 KB Output is correct
83 Correct 17 ms 24044 KB Output is correct
84 Correct 18 ms 24428 KB Output is correct
85 Correct 174 ms 40428 KB Output is correct
86 Correct 19 ms 24428 KB Output is correct
87 Correct 149 ms 39276 KB Output is correct
88 Correct 16 ms 24044 KB Output is correct
89 Correct 163 ms 39148 KB Output is correct
90 Correct 172 ms 40300 KB Output is correct
91 Correct 159 ms 41964 KB Output is correct
92 Correct 104 ms 38884 KB Output is correct
93 Correct 19 ms 24556 KB Output is correct
94 Correct 16 ms 24044 KB Output is correct
95 Correct 128 ms 41828 KB Output is correct
96 Correct 195 ms 45804 KB Output is correct
97 Correct 19 ms 24428 KB Output is correct
98 Correct 16 ms 24044 KB Output is correct
99 Correct 133 ms 40548 KB Output is correct
100 Correct 18 ms 24428 KB Output is correct
101 Correct 163 ms 39532 KB Output is correct
102 Correct 199 ms 44524 KB Output is correct
103 Correct 18 ms 24556 KB Output is correct
104 Correct 18 ms 24556 KB Output is correct
105 Correct 19 ms 24428 KB Output is correct
106 Correct 18 ms 24428 KB Output is correct
107 Correct 18 ms 24556 KB Output is correct
108 Correct 836 ms 106716 KB Output is correct
109 Correct 1346 ms 114816 KB Output is correct
110 Correct 1385 ms 126172 KB Output is correct
111 Correct 1498 ms 137580 KB Output is correct
112 Correct 1426 ms 128108 KB Output is correct
113 Correct 818 ms 114644 KB Output is correct
114 Correct 860 ms 96776 KB Output is correct
115 Correct 864 ms 97244 KB Output is correct
116 Correct 1112 ms 103404 KB Output is correct
117 Correct 1089 ms 114668 KB Output is correct
118 Correct 889 ms 98924 KB Output is correct
119 Correct 1089 ms 114540 KB Output is correct
120 Correct 1402 ms 128492 KB Output is correct
121 Correct 1052 ms 114572 KB Output is correct
122 Correct 1166 ms 108304 KB Output is correct
123 Correct 776 ms 116316 KB Output is correct
124 Correct 1187 ms 112876 KB Output is correct