oj.uz

Submission #630517

# Submission time Handle Problem Language Result Execution time Memory
630517 2022-08-16T12:52:16 Z Arnch Mergers (JOI19_mergers) C++17
70 / 100
 1398 ms 169280 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 = 22;

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;
	if(max(x, y) >= MAXN) assert(0);
	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 39508 KB Output is correct
2 Correct 21 ms 39484 KB Output is correct
3 Correct 20 ms 39444 KB Output is correct
4 Correct 20 ms 39452 KB Output is correct
5 Correct 20 ms 39520 KB Output is correct
6 Correct 19 ms 39508 KB Output is correct
7 Correct 25 ms 39428 KB Output is correct
8 Correct 20 ms 39508 KB Output is correct
9 Correct 21 ms 39508 KB Output is correct
10 Correct 21 ms 39508 KB Output is correct
11 Correct 21 ms 39512 KB Output is correct
12 Correct 21 ms 39532 KB Output is correct
13 Correct 22 ms 39532 KB Output is correct
14 Correct 22 ms 39412 KB Output is correct
15 Correct 24 ms 39508 KB Output is correct
16 Correct 20 ms 39508 KB Output is correct
17 Correct 20 ms 39492 KB Output is correct
18 Correct 21 ms 39524 KB Output is correct
19 Correct 20 ms 39536 KB Output is correct
20 Correct 20 ms 39436 KB Output is correct
21 Correct 26 ms 39436 KB Output is correct
22 Correct 21 ms 39508 KB Output is correct
23 Correct 21 ms 39508 KB Output is correct
24 Correct 20 ms 39452 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 39508 KB Output is correct
2 Correct 21 ms 39484 KB Output is correct
3 Correct 20 ms 39444 KB Output is correct
4 Correct 20 ms 39452 KB Output is correct
5 Correct 20 ms 39520 KB Output is correct
6 Correct 19 ms 39508 KB Output is correct
7 Correct 25 ms 39428 KB Output is correct
8 Correct 20 ms 39508 KB Output is correct
9 Correct 21 ms 39508 KB Output is correct
10 Correct 21 ms 39508 KB Output is correct
11 Correct 21 ms 39512 KB Output is correct
12 Correct 21 ms 39532 KB Output is correct
13 Correct 22 ms 39532 KB Output is correct
14 Correct 22 ms 39412 KB Output is correct
15 Correct 24 ms 39508 KB Output is correct
16 Correct 20 ms 39508 KB Output is correct
17 Correct 20 ms 39492 KB Output is correct
18 Correct 21 ms 39524 KB Output is correct
19 Correct 20 ms 39536 KB Output is correct
20 Correct 20 ms 39436 KB Output is correct
21 Correct 26 ms 39436 KB Output is correct
22 Correct 21 ms 39508 KB Output is correct
23 Correct 21 ms 39508 KB Output is correct
24 Correct 20 ms 39452 KB Output is correct
25 Correct 21 ms 39536 KB Output is correct
26 Correct 25 ms 40000 KB Output is correct
27 Correct 23 ms 39948 KB Output is correct
28 Correct 23 ms 40216 KB Output is correct
29 Correct 24 ms 40156 KB Output is correct
30 Correct 24 ms 40020 KB Output is correct
31 Correct 20 ms 39540 KB Output is correct
32 Correct 22 ms 40168 KB Output is correct
33 Correct 22 ms 39512 KB Output is correct
34 Correct 26 ms 40136 KB Output is correct
35 Correct 25 ms 40120 KB Output is correct
36 Correct 23 ms 40020 KB Output is correct
37 Correct 25 ms 40076 KB Output is correct
38 Correct 22 ms 39496 KB Output is correct
39 Correct 24 ms 39952 KB Output is correct
40 Correct 25 ms 40076 KB Output is correct
41 Correct 24 ms 40020 KB Output is correct
42 Correct 24 ms 40024 KB Output is correct
43 Correct 26 ms 40200 KB Output is correct
44 Correct 22 ms 39508 KB Output is correct
45 Correct 29 ms 40132 KB Output is correct
46 Correct 25 ms 40020 KB Output is correct
47 Correct 20 ms 39540 KB Output is correct
48 Correct 25 ms 40004 KB Output is correct
49 Correct 24 ms 40224 KB Output is correct
50 Correct 26 ms 40148 KB Output is correct
51 Correct 23 ms 40040 KB Output is correct
52 Correct 25 ms 40040 KB Output is correct
53 Correct 24 ms 40020 KB Output is correct
54 Correct 26 ms 39956 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 39508 KB Output is correct
2 Correct 21 ms 39484 KB Output is correct
3 Correct 20 ms 39444 KB Output is correct
4 Correct 20 ms 39452 KB Output is correct
5 Correct 20 ms 39520 KB Output is correct
6 Correct 19 ms 39508 KB Output is correct
7 Correct 25 ms 39428 KB Output is correct
8 Correct 20 ms 39508 KB Output is correct
9 Correct 21 ms 39508 KB Output is correct
10 Correct 21 ms 39508 KB Output is correct
11 Correct 21 ms 39512 KB Output is correct
12 Correct 21 ms 39532 KB Output is correct
13 Correct 22 ms 39532 KB Output is correct
14 Correct 22 ms 39412 KB Output is correct
15 Correct 24 ms 39508 KB Output is correct
16 Correct 20 ms 39508 KB Output is correct
17 Correct 20 ms 39492 KB Output is correct
18 Correct 21 ms 39524 KB Output is correct
19 Correct 20 ms 39536 KB Output is correct
20 Correct 20 ms 39436 KB Output is correct
21 Correct 26 ms 39436 KB Output is correct
22 Correct 21 ms 39508 KB Output is correct
23 Correct 21 ms 39508 KB Output is correct
24 Correct 20 ms 39452 KB Output is correct
25 Correct 22 ms 39460 KB Output is correct
26 Correct 135 ms 55908 KB Output is correct
27 Correct 215 ms 55628 KB Output is correct
28 Correct 23 ms 39940 KB Output is correct
29 Correct 22 ms 39468 KB Output is correct
30 Correct 24 ms 39456 KB Output is correct
31 Correct 161 ms 55576 KB Output is correct
32 Correct 23 ms 40016 KB Output is correct
33 Correct 217 ms 62832 KB Output is correct
34 Correct 206 ms 55672 KB Output is correct
35 Correct 25 ms 39956 KB Output is correct
36 Correct 168 ms 56276 KB Output is correct
37 Correct 26 ms 40020 KB Output is correct
38 Correct 25 ms 40020 KB Output is correct
39 Correct 138 ms 55928 KB Output is correct
40 Correct 25 ms 40176 KB Output is correct
41 Correct 178 ms 56592 KB Output is correct
42 Correct 204 ms 58096 KB Output is correct
43 Correct 21 ms 39508 KB Output is correct
44 Correct 206 ms 64548 KB Output is correct
45 Correct 229 ms 59328 KB Output is correct
46 Correct 23 ms 40044 KB Output is correct
47 Correct 26 ms 40016 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 135 ms 55992 KB Output is correct
2 Correct 120 ms 62040 KB Output is correct
3 Correct 24 ms 40112 KB Output is correct
4 Correct 24 ms 39948 KB Output is correct
5 Correct 23 ms 39508 KB Output is correct
6 Correct 23 ms 39536 KB Output is correct
7 Correct 24 ms 40044 KB Output is correct
8 Correct 203 ms 57104 KB Output is correct
9 Correct 24 ms 40036 KB Output is correct
10 Correct 155 ms 55616 KB Output is correct
11 Correct 21 ms 39516 KB Output is correct
12 Correct 154 ms 55592 KB Output is correct
13 Correct 181 ms 57292 KB Output is correct
14 Correct 145 ms 61468 KB Output is correct
15 Correct 137 ms 55872 KB Output is correct
16 Correct 25 ms 40020 KB Output is correct
17 Correct 22 ms 39548 KB Output is correct
18 Correct 125 ms 61012 KB Output is correct
19 Correct 180 ms 65356 KB Output is correct
20 Correct 25 ms 40052 KB Output is correct
21 Correct 22 ms 39544 KB Output is correct
22 Correct 143 ms 57536 KB Output is correct
23 Correct 25 ms 40020 KB Output is correct
24 Correct 152 ms 56136 KB Output is correct
25 Correct 181 ms 63860 KB Output is correct
26 Correct 24 ms 40112 KB Output is correct
27 Correct 26 ms 40148 KB Output is correct
28 Correct 28 ms 40016 KB Output is correct
29 Correct 27 ms 40020 KB Output is correct
30 Correct 26 ms 40008 KB Output is correct

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 39508 KB Output is correct
2 Correct 21 ms 39484 KB Output is correct
3 Correct 20 ms 39444 KB Output is correct
4 Correct 20 ms 39452 KB Output is correct
5 Correct 20 ms 39520 KB Output is correct
6 Correct 19 ms 39508 KB Output is correct
7 Correct 25 ms 39428 KB Output is correct
8 Correct 20 ms 39508 KB Output is correct
9 Correct 21 ms 39508 KB Output is correct
10 Correct 21 ms 39508 KB Output is correct
11 Correct 21 ms 39512 KB Output is correct
12 Correct 21 ms 39532 KB Output is correct
13 Correct 22 ms 39532 KB Output is correct
14 Correct 22 ms 39412 KB Output is correct
15 Correct 24 ms 39508 KB Output is correct
16 Correct 20 ms 39508 KB Output is correct
17 Correct 20 ms 39492 KB Output is correct
18 Correct 21 ms 39524 KB Output is correct
19 Correct 20 ms 39536 KB Output is correct
20 Correct 20 ms 39436 KB Output is correct
21 Correct 26 ms 39436 KB Output is correct
22 Correct 21 ms 39508 KB Output is correct
23 Correct 21 ms 39508 KB Output is correct
24 Correct 20 ms 39452 KB Output is correct
25 Correct 21 ms 39536 KB Output is correct
26 Correct 25 ms 40000 KB Output is correct
27 Correct 23 ms 39948 KB Output is correct
28 Correct 23 ms 40216 KB Output is correct
29 Correct 24 ms 40156 KB Output is correct
30 Correct 24 ms 40020 KB Output is correct
31 Correct 20 ms 39540 KB Output is correct
32 Correct 22 ms 40168 KB Output is correct
33 Correct 22 ms 39512 KB Output is correct
34 Correct 26 ms 40136 KB Output is correct
35 Correct 25 ms 40120 KB Output is correct
36 Correct 23 ms 40020 KB Output is correct
37 Correct 25 ms 40076 KB Output is correct
38 Correct 22 ms 39496 KB Output is correct
39 Correct 24 ms 39952 KB Output is correct
40 Correct 25 ms 40076 KB Output is correct
41 Correct 24 ms 40020 KB Output is correct
42 Correct 24 ms 40024 KB Output is correct
43 Correct 26 ms 40200 KB Output is correct
44 Correct 22 ms 39508 KB Output is correct
45 Correct 29 ms 40132 KB Output is correct
46 Correct 25 ms 40020 KB Output is correct
47 Correct 20 ms 39540 KB Output is correct
48 Correct 25 ms 40004 KB Output is correct
49 Correct 24 ms 40224 KB Output is correct
50 Correct 26 ms 40148 KB Output is correct
51 Correct 23 ms 40040 KB Output is correct
52 Correct 25 ms 40040 KB Output is correct
53 Correct 24 ms 40020 KB Output is correct
54 Correct 26 ms 39956 KB Output is correct
55 Correct 22 ms 39460 KB Output is correct
56 Correct 135 ms 55908 KB Output is correct
57 Correct 215 ms 55628 KB Output is correct
58 Correct 23 ms 39940 KB Output is correct
59 Correct 22 ms 39468 KB Output is correct
60 Correct 24 ms 39456 KB Output is correct
61 Correct 161 ms 55576 KB Output is correct
62 Correct 23 ms 40016 KB Output is correct
63 Correct 217 ms 62832 KB Output is correct
64 Correct 206 ms 55672 KB Output is correct
65 Correct 25 ms 39956 KB Output is correct
66 Correct 168 ms 56276 KB Output is correct
67 Correct 26 ms 40020 KB Output is correct
68 Correct 25 ms 40020 KB Output is correct
69 Correct 138 ms 55928 KB Output is correct
70 Correct 25 ms 40176 KB Output is correct
71 Correct 178 ms 56592 KB Output is correct
72 Correct 204 ms 58096 KB Output is correct
73 Correct 21 ms 39508 KB Output is correct
74 Correct 206 ms 64548 KB Output is correct
75 Correct 229 ms 59328 KB Output is correct
76 Correct 23 ms 40044 KB Output is correct
77 Correct 26 ms 40016 KB Output is correct
78 Correct 135 ms 55992 KB Output is correct
79 Correct 120 ms 62040 KB Output is correct
80 Correct 24 ms 40112 KB Output is correct
81 Correct 24 ms 39948 KB Output is correct
82 Correct 23 ms 39508 KB Output is correct
83 Correct 23 ms 39536 KB Output is correct
84 Correct 24 ms 40044 KB Output is correct
85 Correct 203 ms 57104 KB Output is correct
86 Correct 24 ms 40036 KB Output is correct
87 Correct 155 ms 55616 KB Output is correct
88 Correct 21 ms 39516 KB Output is correct
89 Correct 154 ms 55592 KB Output is correct
90 Correct 181 ms 57292 KB Output is correct
91 Correct 145 ms 61468 KB Output is correct
92 Correct 137 ms 55872 KB Output is correct
93 Correct 25 ms 40020 KB Output is correct
94 Correct 22 ms 39548 KB Output is correct
95 Correct 125 ms 61012 KB Output is correct
96 Correct 180 ms 65356 KB Output is correct
97 Correct 25 ms 40052 KB Output is correct
98 Correct 22 ms 39544 KB Output is correct
99 Correct 143 ms 57536 KB Output is correct
100 Correct 25 ms 40020 KB Output is correct
101 Correct 152 ms 56136 KB Output is correct
102 Correct 181 ms 63860 KB Output is correct
103 Correct 24 ms 40112 KB Output is correct
104 Correct 26 ms 40148 KB Output is correct
105 Correct 28 ms 40016 KB Output is correct
106 Correct 27 ms 40020 KB Output is correct
107 Correct 26 ms 40008 KB Output is correct
108 Correct 877 ms 125912 KB Output is correct
109 Correct 1353 ms 140648 KB Output is correct
110 Correct 1398 ms 155136 KB Output is correct
111 Correct 1376 ms 169280 KB Output is correct
112 Correct 1285 ms 155056 KB Output is correct
113 Incorrect 885 ms 146248 KB Output isn't correct
114 Halted 0 ms 0 KB -