oj.uz

Submission #630499

# Submission time Handle Problem Language Result Execution time Memory
630499 2022-08-16T12:31:11 Z Arnch Mergers (JOI19_mergers) C++17
70 / 100
 1415 ms 255756 KB 
// oooo
/*
 har chi delet mikhad bebar ~
 gitar o ba khodet nabar! ~
 ;Amoo_Hasan;
*/

#include<bits/stdc++.h>
#pragma GCC optimize("O3,no-stack-protector,unroll-loops")
#pragma GCC target("avx2,fma")

using namespace std;

typedef long long ll;
typedef long double ld;

#define Sz(x) int((x).size())
#define All(x) (x).begin(), (x).end()
#define wtf(x) cout<<#x <<" : " <<x <<endl
#define mak make_pair

//constexpr int PRI = 1000696969;
constexpr int N = 2e6 + 2, MAXN = 5e5 + 2, LOG = 19;

int n, k;
int s[MAXN], sub[MAXN], head[MAXN], link[MAXN];
int par[MAXN][LOG], h[MAXN], st[MAXN], fn[MAXN], tim;
int sz[MAXN], pv[MAXN];
int ans, total;
int seg[N];
vector<int> vc[MAXN], adj[MAXN], nei[MAXN];

void dfs(int x, int p = -1) {
	par[x][0] = p;
	for(int i = 1; i < LOG; i++) par[x][i] = par[par[x][i - 1]][i - 1];
	if(p != -1) 
		h[x] = h[p] + 1;
	sub[x] = 1;
	for(auto j : adj[x]) {
		if(j == p) continue;
		dfs(j, x);
		sub[x] += sub[j];
	}
}
void hld(int x, int p = -1, int hi = 0) {
	link[tim] = x;
	st[x] = tim++;
	head[x] = hi;

	int bz = -1;
	for(auto j : adj[x]) {
		if(j == p) continue;
		if(bz == -1 || sub[bz] < sub[j]) bz = j;
	}
	if(bz == -1) {
		fn[x] = tim;
		return;
	}

	hld(bz, x, hi);
	for(auto j : adj[x]) {
		if(j == p || j == bz) continue;
		hld(j, x, j);
	}
	fn[x] = tim;
}

inline int get_par(int x, int y) {
	for(int i = 0; i < LOG; i++)
		if((y >> i) & 1)
			x = par[x][i];
	return x;
}
inline int lca(int x, int y) {
	if(h[x] > h[y]) swap(x, y);
	y = get_par(y, h[y] - h[x]);
	if(x == y) return x;
	for(int i = LOG - 1; i >= 0; i--)
		if(par[x][i] != par[y][i])
			x = par[x][i], y = par[y][i];
	return par[x][0];
}

inline int find(int x) {
	if(pv[x] == x) return x;
	return pv[x] = find(pv[x]);
}
inline void merge(int x, int y) {
//	cout<<"^^" <<x <<' ' <<y <<endl;
	int X = find(x), Y = find(y);
	if(X == Y) return;
	if(sz[X] < sz[Y]) swap(X, Y);
	pv[Y] = X, sz[X] += sz[Y];
}

inline void build(int l = 0, int r = n, int v = 1) {
	seg[v] = -1;
	if(r - l < 2) {
		return;
	}
	int mid = (l + r) >> 1;
	build(l, mid, 2 * v), build(mid, r, 2 * v + 1);
	total = max(total, v);
}
inline void upd(int s, int e, int val, int l = 0, int r = n, int v = 1) {
	if(r <= s || l >= e) return;
	if(l >= s && r <= e) {
		if(seg[v] == -1) seg[v] = val;
		else merge(seg[v], val);
		return;
	}
	int mid = (l + r) >> 1;
	upd(s, e, val, l, mid, 2 * v), upd(s, e, val, mid, r, 2 * v + 1);
}
inline void relax(int l = 0, int r = n, int v = 1) {
	if(r - l < 2) {
		if(seg[v] != -1) merge(seg[v], s[link[l]]);
		return;
	}
	int mid = (l + r) >> 1;
	if(seg[v] != -1) {
		if(seg[2 * v] == -1) seg[2 * v] = seg[v];
		else merge(seg[v], seg[2 * v]);

		if(seg[2 * v + 1] == -1) seg[2 * v + 1] = seg[v];
		else merge(seg[v], seg[2 * v + 1]);
	}
	relax(l, mid, 2 * v), relax(mid, r, 2 * v + 1);
}

bool cmp(int i, int j) {
	return st[i] < st[j];
}
void solve(int x) {
	vector<int> ver;
	for(auto i : vc[x]) ver.push_back(i);
	sort(All(ver), cmp);
	int sz = Sz(ver);
	for(int i = 1; i < sz; i++) {
		ver.push_back(lca(ver[i - 1], ver[i]));
	}
	sort(All(ver), cmp);
	ver.erase(unique(All(ver)), ver.end());

	stack<int> mt;
	mt.push(ver[0]);

	upd(st[ver[0]], st[ver[0]] + 1, x);
	for(int i = 1; i < Sz(ver); i++) {
		int v = ver[i];
		while(fn[mt.top()] < fn[v]) mt.pop();
		int p = mt.top();
	
		upd(st[v], st[v] + 1, x);
	
		int u = v;
		while(u != -1 && h[u] >= h[p]) {
			if(h[head[u]] < h[p]) break;
			upd(st[head[u]], st[u] + 1, x);
			u = par[head[u]][0];
		}
		if(h[u] >= h[p]) {
			upd(st[p], st[u] + 1, x);
		}

		mt.push(v);
	}
	ver.clear();
	while(!mt.empty()) mt.pop();
}

int main() {
	ios :: sync_with_stdio(0), cin.tie(0); cout.tie(0);

	for(int i = 0; i < MAXN; i++) sz[i] = 1, pv[i] = i;

	cin >>n >>k;
	for(int i = 0; i < n - 1; i++) {
		int u, v; cin >>u >>v;
		--u, --v;
		adj[u].push_back(v), adj[v].push_back(u);
	}
	dfs(0);
	hld(0);
		
	for(int i = 0; i < n; i++) {
		cin >>s[i];
	}
	
	build();
	
	for(int i = 0; i < n; i++) {
		--s[i];
		vc[s[i]].push_back(i);
	}

	for(int i = 0; i < k; i++) {
		solve(i);
	}

	relax();

	for(int i = 0; i < MAXN; i++) pv[i] = find(pv[i]);

	for(int i = 0; i < n; i++) {
		int u = s[i];
		for(auto j : adj[i]) {
			int v = s[j];
			if(pv[u] == pv[v]) continue;
			nei[pv[u]].push_back(pv[v]);
		}
	}

	for(int i = 0; i < MAXN; i++) {
		nei[i].erase(unique(All(nei[i])), nei[i].end());
		if(Sz(nei[i]) == 1) ans++;
	}
	cout<<(ans + 1) / 2;

	return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 39440 KB Output is correct
2 Correct 21 ms 39468 KB Output is correct
3 Correct 23 ms 39452 KB Output is correct
4 Correct 20 ms 39508 KB Output is correct
5 Correct 26 ms 39516 KB Output is correct
6 Correct 22 ms 39508 KB Output is correct
7 Correct 22 ms 39664 KB Output is correct
8 Correct 23 ms 39508 KB Output is correct
9 Correct 23 ms 39500 KB Output is correct
10 Correct 21 ms 39476 KB Output is correct
11 Correct 22 ms 39464 KB Output is correct
12 Correct 21 ms 39476 KB Output is correct
13 Correct 21 ms 39476 KB Output is correct
14 Correct 24 ms 39480 KB Output is correct
15 Correct 22 ms 39428 KB Output is correct
16 Correct 25 ms 39472 KB Output is correct
17 Correct 27 ms 39500 KB Output is correct
18 Correct 23 ms 39536 KB Output is correct
19 Correct 22 ms 39508 KB Output is correct
20 Correct 21 ms 39512 KB Output is correct
21 Correct 22 ms 39544 KB Output is correct
22 Correct 24 ms 39480 KB Output is correct
23 Correct 23 ms 39416 KB Output is correct
24 Correct 22 ms 39516 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 39440 KB Output is correct
2 Correct 21 ms 39468 KB Output is correct
3 Correct 23 ms 39452 KB Output is correct
4 Correct 20 ms 39508 KB Output is correct
5 Correct 26 ms 39516 KB Output is correct
6 Correct 22 ms 39508 KB Output is correct
7 Correct 22 ms 39664 KB Output is correct
8 Correct 23 ms 39508 KB Output is correct
9 Correct 23 ms 39500 KB Output is correct
10 Correct 21 ms 39476 KB Output is correct
11 Correct 22 ms 39464 KB Output is correct
12 Correct 21 ms 39476 KB Output is correct
13 Correct 21 ms 39476 KB Output is correct
14 Correct 24 ms 39480 KB Output is correct
15 Correct 22 ms 39428 KB Output is correct
16 Correct 25 ms 39472 KB Output is correct
17 Correct 27 ms 39500 KB Output is correct
18 Correct 23 ms 39536 KB Output is correct
19 Correct 22 ms 39508 KB Output is correct
20 Correct 21 ms 39512 KB Output is correct
21 Correct 22 ms 39544 KB Output is correct
22 Correct 24 ms 39480 KB Output is correct
23 Correct 23 ms 39416 KB Output is correct
24 Correct 22 ms 39516 KB Output is correct
25 Correct 22 ms 39580 KB Output is correct
26 Correct 26 ms 40004 KB Output is correct
27 Correct 31 ms 40004 KB Output is correct
28 Correct 26 ms 40272 KB Output is correct
29 Correct 27 ms 40180 KB Output is correct
30 Correct 25 ms 40012 KB Output is correct
31 Correct 21 ms 39484 KB Output is correct
32 Correct 28 ms 40148 KB Output is correct
33 Correct 22 ms 39524 KB Output is correct
34 Correct 26 ms 40020 KB Output is correct
35 Correct 27 ms 40100 KB Output is correct
36 Correct 24 ms 40004 KB Output is correct
37 Correct 26 ms 40008 KB Output is correct
38 Correct 22 ms 39460 KB Output is correct
39 Correct 26 ms 40052 KB Output is correct
40 Correct 27 ms 40108 KB Output is correct
41 Correct 25 ms 39956 KB Output is correct
42 Correct 24 ms 40000 KB Output is correct
43 Correct 28 ms 40208 KB Output is correct
44 Correct 23 ms 39508 KB Output is correct
45 Correct 27 ms 40136 KB Output is correct
46 Correct 32 ms 39952 KB Output is correct
47 Correct 23 ms 39536 KB Output is correct
48 Correct 25 ms 40020 KB Output is correct
49 Correct 29 ms 40140 KB Output is correct
50 Correct 25 ms 40148 KB Output is correct
51 Correct 29 ms 39916 KB Output is correct
52 Correct 24 ms 40008 KB Output is correct
53 Correct 25 ms 40020 KB Output is correct
54 Correct 26 ms 40000 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 39440 KB Output is correct
2 Correct 21 ms 39468 KB Output is correct
3 Correct 23 ms 39452 KB Output is correct
4 Correct 20 ms 39508 KB Output is correct
5 Correct 26 ms 39516 KB Output is correct
6 Correct 22 ms 39508 KB Output is correct
7 Correct 22 ms 39664 KB Output is correct
8 Correct 23 ms 39508 KB Output is correct
9 Correct 23 ms 39500 KB Output is correct
10 Correct 21 ms 39476 KB Output is correct
11 Correct 22 ms 39464 KB Output is correct
12 Correct 21 ms 39476 KB Output is correct
13 Correct 21 ms 39476 KB Output is correct
14 Correct 24 ms 39480 KB Output is correct
15 Correct 22 ms 39428 KB Output is correct
16 Correct 25 ms 39472 KB Output is correct
17 Correct 27 ms 39500 KB Output is correct
18 Correct 23 ms 39536 KB Output is correct
19 Correct 22 ms 39508 KB Output is correct
20 Correct 21 ms 39512 KB Output is correct
21 Correct 22 ms 39544 KB Output is correct
22 Correct 24 ms 39480 KB Output is correct
23 Correct 23 ms 39416 KB Output is correct
24 Correct 22 ms 39516 KB Output is correct
25 Correct 21 ms 39508 KB Output is correct
26 Correct 151 ms 55192 KB Output is correct
27 Correct 227 ms 54916 KB Output is correct
28 Correct 28 ms 39964 KB Output is correct
29 Correct 22 ms 39480 KB Output is correct
30 Correct 22 ms 39540 KB Output is correct
31 Correct 194 ms 54816 KB Output is correct
32 Correct 24 ms 40004 KB Output is correct
33 Correct 218 ms 62176 KB Output is correct
34 Correct 227 ms 54808 KB Output is correct
35 Correct 27 ms 40000 KB Output is correct
36 Correct 161 ms 55360 KB Output is correct
37 Correct 25 ms 40020 KB Output is correct
38 Correct 25 ms 39944 KB Output is correct
39 Correct 135 ms 55060 KB Output is correct
40 Correct 27 ms 40200 KB Output is correct
41 Correct 174 ms 55700 KB Output is correct
42 Correct 192 ms 57168 KB Output is correct
43 Correct 23 ms 39476 KB Output is correct
44 Correct 203 ms 63236 KB Output is correct
45 Correct 227 ms 58376 KB Output is correct
46 Correct 24 ms 40012 KB Output is correct
47 Correct 27 ms 40012 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 157 ms 55280 KB Output is correct
2 Correct 141 ms 61292 KB Output is correct
3 Correct 24 ms 40012 KB Output is correct
4 Correct 27 ms 39980 KB Output is correct
5 Correct 23 ms 39428 KB Output is correct
6 Correct 25 ms 39500 KB Output is correct
7 Correct 29 ms 39988 KB Output is correct
8 Correct 200 ms 56300 KB Output is correct
9 Correct 26 ms 40028 KB Output is correct
10 Correct 171 ms 55024 KB Output is correct
11 Correct 22 ms 39552 KB Output is correct
12 Correct 147 ms 54988 KB Output is correct
13 Correct 195 ms 56568 KB Output is correct
14 Correct 166 ms 60752 KB Output is correct
15 Correct 134 ms 55172 KB Output is correct
16 Correct 25 ms 39996 KB Output is correct
17 Correct 22 ms 39524 KB Output is correct
18 Correct 149 ms 60332 KB Output is correct
19 Correct 177 ms 64728 KB Output is correct
20 Correct 26 ms 40024 KB Output is correct
21 Correct 22 ms 39512 KB Output is correct
22 Correct 149 ms 56900 KB Output is correct
23 Correct 27 ms 40012 KB Output is correct
24 Correct 165 ms 55480 KB Output is correct
25 Correct 168 ms 63192 KB Output is correct
26 Correct 25 ms 40188 KB Output is correct
27 Correct 27 ms 40128 KB Output is correct
28 Correct 27 ms 39952 KB Output is correct
29 Correct 25 ms 40012 KB Output is correct
30 Correct 24 ms 40084 KB Output is correct

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 39440 KB Output is correct
2 Correct 21 ms 39468 KB Output is correct
3 Correct 23 ms 39452 KB Output is correct
4 Correct 20 ms 39508 KB Output is correct
5 Correct 26 ms 39516 KB Output is correct
6 Correct 22 ms 39508 KB Output is correct
7 Correct 22 ms 39664 KB Output is correct
8 Correct 23 ms 39508 KB Output is correct
9 Correct 23 ms 39500 KB Output is correct
10 Correct 21 ms 39476 KB Output is correct
11 Correct 22 ms 39464 KB Output is correct
12 Correct 21 ms 39476 KB Output is correct
13 Correct 21 ms 39476 KB Output is correct
14 Correct 24 ms 39480 KB Output is correct
15 Correct 22 ms 39428 KB Output is correct
16 Correct 25 ms 39472 KB Output is correct
17 Correct 27 ms 39500 KB Output is correct
18 Correct 23 ms 39536 KB Output is correct
19 Correct 22 ms 39508 KB Output is correct
20 Correct 21 ms 39512 KB Output is correct
21 Correct 22 ms 39544 KB Output is correct
22 Correct 24 ms 39480 KB Output is correct
23 Correct 23 ms 39416 KB Output is correct
24 Correct 22 ms 39516 KB Output is correct
25 Correct 22 ms 39580 KB Output is correct
26 Correct 26 ms 40004 KB Output is correct
27 Correct 31 ms 40004 KB Output is correct
28 Correct 26 ms 40272 KB Output is correct
29 Correct 27 ms 40180 KB Output is correct
30 Correct 25 ms 40012 KB Output is correct
31 Correct 21 ms 39484 KB Output is correct
32 Correct 28 ms 40148 KB Output is correct
33 Correct 22 ms 39524 KB Output is correct
34 Correct 26 ms 40020 KB Output is correct
35 Correct 27 ms 40100 KB Output is correct
36 Correct 24 ms 40004 KB Output is correct
37 Correct 26 ms 40008 KB Output is correct
38 Correct 22 ms 39460 KB Output is correct
39 Correct 26 ms 40052 KB Output is correct
40 Correct 27 ms 40108 KB Output is correct
41 Correct 25 ms 39956 KB Output is correct
42 Correct 24 ms 40000 KB Output is correct
43 Correct 28 ms 40208 KB Output is correct
44 Correct 23 ms 39508 KB Output is correct
45 Correct 27 ms 40136 KB Output is correct
46 Correct 32 ms 39952 KB Output is correct
47 Correct 23 ms 39536 KB Output is correct
48 Correct 25 ms 40020 KB Output is correct
49 Correct 29 ms 40140 KB Output is correct
50 Correct 25 ms 40148 KB Output is correct
51 Correct 29 ms 39916 KB Output is correct
52 Correct 24 ms 40008 KB Output is correct
53 Correct 25 ms 40020 KB Output is correct
54 Correct 26 ms 40000 KB Output is correct
55 Correct 21 ms 39508 KB Output is correct
56 Correct 151 ms 55192 KB Output is correct
57 Correct 227 ms 54916 KB Output is correct
58 Correct 28 ms 39964 KB Output is correct
59 Correct 22 ms 39480 KB Output is correct
60 Correct 22 ms 39540 KB Output is correct
61 Correct 194 ms 54816 KB Output is correct
62 Correct 24 ms 40004 KB Output is correct
63 Correct 218 ms 62176 KB Output is correct
64 Correct 227 ms 54808 KB Output is correct
65 Correct 27 ms 40000 KB Output is correct
66 Correct 161 ms 55360 KB Output is correct
67 Correct 25 ms 40020 KB Output is correct
68 Correct 25 ms 39944 KB Output is correct
69 Correct 135 ms 55060 KB Output is correct
70 Correct 27 ms 40200 KB Output is correct
71 Correct 174 ms 55700 KB Output is correct
72 Correct 192 ms 57168 KB Output is correct
73 Correct 23 ms 39476 KB Output is correct
74 Correct 203 ms 63236 KB Output is correct
75 Correct 227 ms 58376 KB Output is correct
76 Correct 24 ms 40012 KB Output is correct
77 Correct 27 ms 40012 KB Output is correct
78 Correct 157 ms 55280 KB Output is correct
79 Correct 141 ms 61292 KB Output is correct
80 Correct 24 ms 40012 KB Output is correct
81 Correct 27 ms 39980 KB Output is correct
82 Correct 23 ms 39428 KB Output is correct
83 Correct 25 ms 39500 KB Output is correct
84 Correct 29 ms 39988 KB Output is correct
85 Correct 200 ms 56300 KB Output is correct
86 Correct 26 ms 40028 KB Output is correct
87 Correct 171 ms 55024 KB Output is correct
88 Correct 22 ms 39552 KB Output is correct
89 Correct 147 ms 54988 KB Output is correct
90 Correct 195 ms 56568 KB Output is correct
91 Correct 166 ms 60752 KB Output is correct
92 Correct 134 ms 55172 KB Output is correct
93 Correct 25 ms 39996 KB Output is correct
94 Correct 22 ms 39524 KB Output is correct
95 Correct 149 ms 60332 KB Output is correct
96 Correct 177 ms 64728 KB Output is correct
97 Correct 26 ms 40024 KB Output is correct
98 Correct 22 ms 39512 KB Output is correct
99 Correct 149 ms 56900 KB Output is correct
100 Correct 27 ms 40012 KB Output is correct
101 Correct 165 ms 55480 KB Output is correct
102 Correct 168 ms 63192 KB Output is correct
103 Correct 25 ms 40188 KB Output is correct
104 Correct 27 ms 40128 KB Output is correct
105 Correct 27 ms 39952 KB Output is correct
106 Correct 25 ms 40012 KB Output is correct
107 Correct 24 ms 40084 KB Output is correct
108 Correct 878 ms 120348 KB Output is correct
109 Correct 1415 ms 135036 KB Output is correct
110 Correct 1303 ms 147544 KB Output is correct
111 Correct 1311 ms 164544 KB Output is correct
112 Correct 1222 ms 149140 KB Output is correct
113 Runtime error 467 ms 255756 KB Execution killed with signal 11
114 Halted 0 ms 0 KB -