oj.uz

Submission #630504

# Submission time Handle Problem Language Result Execution time Memory
630504 2022-08-16T12:39:12 Z Arnch Mergers (JOI19_mergers) C++17
70 / 100
 1292 ms 164412 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];
}

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];
}

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);
}
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);
}
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];
}
inline void solve(int x) {
	vector<int> ver;
	for(auto i : vc[x]) ver.push_back(i);
	vc[x].clear();
	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());

	vector<int> mt;
	mt.push_back(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.back()] < fn[v]) mt.pop_back();
		int p = mt.back();
	
		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_back(v);
	}
	ver.clear();
	mt.clear();
}

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]);
		}
		adj[i].clear();
	}

	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 39444 KB Output is correct
2 Correct 24 ms 39508 KB Output is correct
3 Correct 19 ms 39508 KB Output is correct
4 Correct 20 ms 39532 KB Output is correct
5 Correct 21 ms 39432 KB Output is correct
6 Correct 26 ms 39508 KB Output is correct
7 Correct 23 ms 39472 KB Output is correct
8 Correct 21 ms 39436 KB Output is correct
9 Correct 22 ms 39480 KB Output is correct
10 Correct 20 ms 39508 KB Output is correct
11 Correct 26 ms 39480 KB Output is correct
12 Correct 22 ms 39432 KB Output is correct
13 Correct 22 ms 39500 KB Output is correct
14 Correct 22 ms 39460 KB Output is correct
15 Correct 21 ms 39456 KB Output is correct
16 Correct 21 ms 39508 KB Output is correct
17 Correct 21 ms 39508 KB Output is correct
18 Correct 22 ms 39464 KB Output is correct
19 Correct 24 ms 39488 KB Output is correct
20 Correct 21 ms 39480 KB Output is correct
21 Correct 22 ms 39468 KB Output is correct
22 Correct 22 ms 39508 KB Output is correct
23 Correct 26 ms 39488 KB Output is correct
24 Correct 22 ms 39468 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 39444 KB Output is correct
2 Correct 24 ms 39508 KB Output is correct
3 Correct 19 ms 39508 KB Output is correct
4 Correct 20 ms 39532 KB Output is correct
5 Correct 21 ms 39432 KB Output is correct
6 Correct 26 ms 39508 KB Output is correct
7 Correct 23 ms 39472 KB Output is correct
8 Correct 21 ms 39436 KB Output is correct
9 Correct 22 ms 39480 KB Output is correct
10 Correct 20 ms 39508 KB Output is correct
11 Correct 26 ms 39480 KB Output is correct
12 Correct 22 ms 39432 KB Output is correct
13 Correct 22 ms 39500 KB Output is correct
14 Correct 22 ms 39460 KB Output is correct
15 Correct 21 ms 39456 KB Output is correct
16 Correct 21 ms 39508 KB Output is correct
17 Correct 21 ms 39508 KB Output is correct
18 Correct 22 ms 39464 KB Output is correct
19 Correct 24 ms 39488 KB Output is correct
20 Correct 21 ms 39480 KB Output is correct
21 Correct 22 ms 39468 KB Output is correct
22 Correct 22 ms 39508 KB Output is correct
23 Correct 26 ms 39488 KB Output is correct
24 Correct 22 ms 39468 KB Output is correct
25 Correct 22 ms 39452 KB Output is correct
26 Correct 25 ms 40120 KB Output is correct
27 Correct 24 ms 39992 KB Output is correct
28 Correct 24 ms 40148 KB Output is correct
29 Correct 26 ms 40188 KB Output is correct
30 Correct 25 ms 39944 KB Output is correct
31 Correct 24 ms 39492 KB Output is correct
32 Correct 25 ms 40164 KB Output is correct
33 Correct 23 ms 39480 KB Output is correct
34 Correct 27 ms 40024 KB Output is correct
35 Correct 27 ms 40136 KB Output is correct
36 Correct 27 ms 40004 KB Output is correct
37 Correct 25 ms 40064 KB Output is correct
38 Correct 21 ms 39416 KB Output is correct
39 Correct 24 ms 40012 KB Output is correct
40 Correct 27 ms 39956 KB Output is correct
41 Correct 27 ms 40020 KB Output is correct
42 Correct 24 ms 39968 KB Output is correct
43 Correct 25 ms 40180 KB Output is correct
44 Correct 22 ms 39448 KB Output is correct
45 Correct 24 ms 40148 KB Output is correct
46 Correct 24 ms 40068 KB Output is correct
47 Correct 24 ms 39588 KB Output is correct
48 Correct 27 ms 40020 KB Output is correct
49 Correct 28 ms 40220 KB Output is correct
50 Correct 24 ms 40208 KB Output is correct
51 Correct 25 ms 39936 KB Output is correct
52 Correct 27 ms 40012 KB Output is correct
53 Correct 25 ms 39996 KB Output is correct
54 Correct 25 ms 40020 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 39444 KB Output is correct
2 Correct 24 ms 39508 KB Output is correct
3 Correct 19 ms 39508 KB Output is correct
4 Correct 20 ms 39532 KB Output is correct
5 Correct 21 ms 39432 KB Output is correct
6 Correct 26 ms 39508 KB Output is correct
7 Correct 23 ms 39472 KB Output is correct
8 Correct 21 ms 39436 KB Output is correct
9 Correct 22 ms 39480 KB Output is correct
10 Correct 20 ms 39508 KB Output is correct
11 Correct 26 ms 39480 KB Output is correct
12 Correct 22 ms 39432 KB Output is correct
13 Correct 22 ms 39500 KB Output is correct
14 Correct 22 ms 39460 KB Output is correct
15 Correct 21 ms 39456 KB Output is correct
16 Correct 21 ms 39508 KB Output is correct
17 Correct 21 ms 39508 KB Output is correct
18 Correct 22 ms 39464 KB Output is correct
19 Correct 24 ms 39488 KB Output is correct
20 Correct 21 ms 39480 KB Output is correct
21 Correct 22 ms 39468 KB Output is correct
22 Correct 22 ms 39508 KB Output is correct
23 Correct 26 ms 39488 KB Output is correct
24 Correct 22 ms 39468 KB Output is correct
25 Correct 22 ms 39456 KB Output is correct
26 Correct 134 ms 55076 KB Output is correct
27 Correct 217 ms 54844 KB Output is correct
28 Correct 25 ms 39976 KB Output is correct
29 Correct 22 ms 39472 KB Output is correct
30 Correct 23 ms 39504 KB Output is correct
31 Correct 173 ms 54720 KB Output is correct
32 Correct 24 ms 40012 KB Output is correct
33 Correct 210 ms 61852 KB Output is correct
34 Correct 235 ms 54776 KB Output is correct
35 Correct 24 ms 40024 KB Output is correct
36 Correct 158 ms 55384 KB Output is correct
37 Correct 25 ms 40012 KB Output is correct
38 Correct 26 ms 39952 KB Output is correct
39 Correct 140 ms 55036 KB Output is correct
40 Correct 25 ms 40228 KB Output is correct
41 Correct 177 ms 55736 KB Output is correct
42 Correct 203 ms 57084 KB Output is correct
43 Correct 22 ms 39500 KB Output is correct
44 Correct 214 ms 63644 KB Output is correct
45 Correct 209 ms 58504 KB Output is correct
46 Correct 25 ms 40020 KB Output is correct
47 Correct 24 ms 39988 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 132 ms 55232 KB Output is correct
2 Correct 121 ms 61172 KB Output is correct
3 Correct 24 ms 40020 KB Output is correct
4 Correct 25 ms 40008 KB Output is correct
5 Correct 22 ms 39444 KB Output is correct
6 Correct 22 ms 39484 KB Output is correct
7 Correct 27 ms 39936 KB Output is correct
8 Correct 185 ms 56148 KB Output is correct
9 Correct 24 ms 40016 KB Output is correct
10 Correct 160 ms 54848 KB Output is correct
11 Correct 24 ms 39516 KB Output is correct
12 Correct 169 ms 54836 KB Output is correct
13 Correct 165 ms 56396 KB Output is correct
14 Correct 162 ms 60644 KB Output is correct
15 Correct 141 ms 55060 KB Output is correct
16 Correct 25 ms 40140 KB Output is correct
17 Correct 22 ms 39492 KB Output is correct
18 Correct 126 ms 60208 KB Output is correct
19 Correct 182 ms 64488 KB Output is correct
20 Correct 29 ms 40076 KB Output is correct
21 Correct 20 ms 39488 KB Output is correct
22 Correct 133 ms 56844 KB Output is correct
23 Correct 24 ms 39992 KB Output is correct
24 Correct 146 ms 55320 KB Output is correct
25 Correct 169 ms 63076 KB Output is correct
26 Correct 25 ms 40132 KB Output is correct
27 Correct 25 ms 40156 KB Output is correct
28 Correct 24 ms 40008 KB Output is correct
29 Correct 25 ms 40020 KB Output is correct
30 Correct 24 ms 40076 KB Output is correct

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 39444 KB Output is correct
2 Correct 24 ms 39508 KB Output is correct
3 Correct 19 ms 39508 KB Output is correct
4 Correct 20 ms 39532 KB Output is correct
5 Correct 21 ms 39432 KB Output is correct
6 Correct 26 ms 39508 KB Output is correct
7 Correct 23 ms 39472 KB Output is correct
8 Correct 21 ms 39436 KB Output is correct
9 Correct 22 ms 39480 KB Output is correct
10 Correct 20 ms 39508 KB Output is correct
11 Correct 26 ms 39480 KB Output is correct
12 Correct 22 ms 39432 KB Output is correct
13 Correct 22 ms 39500 KB Output is correct
14 Correct 22 ms 39460 KB Output is correct
15 Correct 21 ms 39456 KB Output is correct
16 Correct 21 ms 39508 KB Output is correct
17 Correct 21 ms 39508 KB Output is correct
18 Correct 22 ms 39464 KB Output is correct
19 Correct 24 ms 39488 KB Output is correct
20 Correct 21 ms 39480 KB Output is correct
21 Correct 22 ms 39468 KB Output is correct
22 Correct 22 ms 39508 KB Output is correct
23 Correct 26 ms 39488 KB Output is correct
24 Correct 22 ms 39468 KB Output is correct
25 Correct 22 ms 39452 KB Output is correct
26 Correct 25 ms 40120 KB Output is correct
27 Correct 24 ms 39992 KB Output is correct
28 Correct 24 ms 40148 KB Output is correct
29 Correct 26 ms 40188 KB Output is correct
30 Correct 25 ms 39944 KB Output is correct
31 Correct 24 ms 39492 KB Output is correct
32 Correct 25 ms 40164 KB Output is correct
33 Correct 23 ms 39480 KB Output is correct
34 Correct 27 ms 40024 KB Output is correct
35 Correct 27 ms 40136 KB Output is correct
36 Correct 27 ms 40004 KB Output is correct
37 Correct 25 ms 40064 KB Output is correct
38 Correct 21 ms 39416 KB Output is correct
39 Correct 24 ms 40012 KB Output is correct
40 Correct 27 ms 39956 KB Output is correct
41 Correct 27 ms 40020 KB Output is correct
42 Correct 24 ms 39968 KB Output is correct
43 Correct 25 ms 40180 KB Output is correct
44 Correct 22 ms 39448 KB Output is correct
45 Correct 24 ms 40148 KB Output is correct
46 Correct 24 ms 40068 KB Output is correct
47 Correct 24 ms 39588 KB Output is correct
48 Correct 27 ms 40020 KB Output is correct
49 Correct 28 ms 40220 KB Output is correct
50 Correct 24 ms 40208 KB Output is correct
51 Correct 25 ms 39936 KB Output is correct
52 Correct 27 ms 40012 KB Output is correct
53 Correct 25 ms 39996 KB Output is correct
54 Correct 25 ms 40020 KB Output is correct
55 Correct 22 ms 39456 KB Output is correct
56 Correct 134 ms 55076 KB Output is correct
57 Correct 217 ms 54844 KB Output is correct
58 Correct 25 ms 39976 KB Output is correct
59 Correct 22 ms 39472 KB Output is correct
60 Correct 23 ms 39504 KB Output is correct
61 Correct 173 ms 54720 KB Output is correct
62 Correct 24 ms 40012 KB Output is correct
63 Correct 210 ms 61852 KB Output is correct
64 Correct 235 ms 54776 KB Output is correct
65 Correct 24 ms 40024 KB Output is correct
66 Correct 158 ms 55384 KB Output is correct
67 Correct 25 ms 40012 KB Output is correct
68 Correct 26 ms 39952 KB Output is correct
69 Correct 140 ms 55036 KB Output is correct
70 Correct 25 ms 40228 KB Output is correct
71 Correct 177 ms 55736 KB Output is correct
72 Correct 203 ms 57084 KB Output is correct
73 Correct 22 ms 39500 KB Output is correct
74 Correct 214 ms 63644 KB Output is correct
75 Correct 209 ms 58504 KB Output is correct
76 Correct 25 ms 40020 KB Output is correct
77 Correct 24 ms 39988 KB Output is correct
78 Correct 132 ms 55232 KB Output is correct
79 Correct 121 ms 61172 KB Output is correct
80 Correct 24 ms 40020 KB Output is correct
81 Correct 25 ms 40008 KB Output is correct
82 Correct 22 ms 39444 KB Output is correct
83 Correct 22 ms 39484 KB Output is correct
84 Correct 27 ms 39936 KB Output is correct
85 Correct 185 ms 56148 KB Output is correct
86 Correct 24 ms 40016 KB Output is correct
87 Correct 160 ms 54848 KB Output is correct
88 Correct 24 ms 39516 KB Output is correct
89 Correct 169 ms 54836 KB Output is correct
90 Correct 165 ms 56396 KB Output is correct
91 Correct 162 ms 60644 KB Output is correct
92 Correct 141 ms 55060 KB Output is correct
93 Correct 25 ms 40140 KB Output is correct
94 Correct 22 ms 39492 KB Output is correct
95 Correct 126 ms 60208 KB Output is correct
96 Correct 182 ms 64488 KB Output is correct
97 Correct 29 ms 40076 KB Output is correct
98 Correct 20 ms 39488 KB Output is correct
99 Correct 133 ms 56844 KB Output is correct
100 Correct 24 ms 39992 KB Output is correct
101 Correct 146 ms 55320 KB Output is correct
102 Correct 169 ms 63076 KB Output is correct
103 Correct 25 ms 40132 KB Output is correct
104 Correct 25 ms 40156 KB Output is correct
105 Correct 24 ms 40008 KB Output is correct
106 Correct 25 ms 40020 KB Output is correct
107 Correct 24 ms 40076 KB Output is correct
108 Correct 852 ms 120320 KB Output is correct
109 Correct 1197 ms 134812 KB Output is correct
110 Correct 1292 ms 149536 KB Output is correct
111 Correct 1218 ms 164412 KB Output is correct
112 Correct 1230 ms 149008 KB Output is correct
113 Incorrect 863 ms 140476 KB Output isn't correct
114 Halted 0 ms 0 KB -