Submission #381667

# Submission time Handle Problem Language Result Execution time Memory
381667 2021-03-25T14:02:02 Z Return_0 Capital City (JOI20_capital_city) C++17
100 / 100
553 ms 39276 KB
// #pragma GCC optimize("Ofast,unroll-loops")
// #pragma comment(linker, "/stack:200000000")
// #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,fma,tune=native")

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace std;
using namespace __gnu_pbds;

typedef int ll;
typedef long double ld;
typedef pair <ll, ll> pll;

#ifdef SINA
#define dbg(...) __f(#__VA_ARGS__, __VA_ARGS__)
template <typename Arg1> void __f(const char* name, Arg1&& arg1) { cout << name << " : " << arg1 << std::endl; }
template <typename Arg1, typename... Args> void __f (const char* names, Arg1&& arg1, Args&&... args) {
	const char* comma = strchr(names + 1, ',');cout.write(names, comma - names) << " : " << arg1<<" | ";__f(comma+1, args...); }
#define dbg2(x, j, n) cout<< #x << " : "; output((j), (n), x, 1); cout.flush();
#else
#define dbg(...) 0
#define dbg2(x, j, n) 0
#endif
#define SZ(x) ((ll)((x).size()))
#define File(s, t) freopen(s ".txt", "r", stdin); freopen(t ".txt", "w", stdout);
#define input(j, n, a) for (int _i = (j); _i < (n)+(j); _i++) cin>> a[_i];
#define output(j, n, a, t) for (int _i = (j); _i < (n)+(j); _i++) cout<< a[_i] << (((t) && _i != (n)+(j)-1)? ' ' : '\n');
#define kill(x) return cout<< (x) << endl, 0
#define cl const ll
#define fr first
#define sc second
#define lc (v << 1)
#define rc (lc | 1)
#define mid ((l + r) >> 1)
#define All(x) (x).begin(), (x).end()

cl inf = sizeof(ll) == 4 ? (1e9 + 10) : (3e18), mod = 1e9 + 7, MOD = 998244353;

template <class A,class B> ostream& operator << (ostream& out,const pair<A,B>&a){return out<<'('<<a.first<<", "<<a.second<<')';}
template <class A> ostream& operator << (ostream& out, const vector<A> &a) {
	out<< '['; for (int i = -1; ++i < int(a.size());) out<< a[i] << (i + 1 < int(a.size()) ? ", " : ""); return out<<']'; }
template <class T, typename _t = less <T> > using Tree = tree <T, null_type, _t, rb_tree_tag, tree_order_statistics_node_update>;

cl N = 2e5 + 7;

ll C [N], sz [N], mark [N], q [N], par [N], iter [N], R, n, k, sum, ans, tar;
bool hide [N], hide_color [N];
vector <ll> adj [N], col [N];

ll plant (cl &v, cl &pr = 0) {
	sz[v] = 1;
	for (auto &u : adj[v]) if (!hide[u] && u != pr) sz[v] += plant(u, v);
	return sz[v];
}

inline ll find_centroid (ll v, cl &S, ll pr = 0) {
	for (ll i = 0; i < SZ(adj[v]); i++) {
		ll &u = adj[v][i];
		if (sz[u] << 1 > S && !hide[u] && u != pr) pr = v, v = u, i = -1;
	}
	return v;
}

void dfs (cl &v, cl &pr = 0) {
	par[v] = pr;
	iter[v] = tar;
	for (auto &u : adj[v]) if (!hide_color[C[u]] && u != pr) dfs(u, v);
}

void centroid_decomposition (ll v = 1) {
	v = find_centroid(v, plant(v));
	if (!hide_color[C[v]]) {
		tar = C[v]; sum = -1;
		dfs(v);
		R = 1; q[0] = C[v]; mark[0] = mark[C[v]] = tar;
		for (ll l = 0; l < R; l++) {
			sum++;
			for (auto &u : col[q[l]]) {
				if (iter[u] != tar) goto Hell;
				if (mark[C[par[u]]] != tar) q[R++] = C[par[u]], mark[C[par[u]]] = tar;
			}
		}
		ans = min(ans, sum);
	}
	Hell:
	hide_color[C[v]] = hide[v] = true;
	for (auto &u : adj[v]) if (!hide[u]) centroid_decomposition(u);
}

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

	cin>> n >> k;
	for (ll i = 1, v, u; i < n; i++) {
		cin>> v >> u;
		adj[v].push_back(u);
		adj[u].push_back(v);
	}
	for (ll i = 1; i <= n; i++) {
		cin>> C[i];
		col[C[i]].push_back(i);
	}

	ans = n;
	centroid_decomposition();

	cout<< ans << endl;

	cerr<< "\nTime elapsed: " << 1000 * clock() / CLOCKS_PER_SEC << "ms\n";

	return 0;
}
/*

*/
# Verdict Execution time Memory Grader output
1 Correct 6 ms 9836 KB Output is correct
2 Correct 6 ms 9836 KB Output is correct
3 Correct 6 ms 9836 KB Output is correct
4 Correct 6 ms 9728 KB Output is correct
5 Correct 6 ms 9836 KB Output is correct
6 Correct 6 ms 9836 KB Output is correct
7 Correct 8 ms 9836 KB Output is correct
8 Correct 6 ms 9836 KB Output is correct
9 Correct 6 ms 9836 KB Output is correct
10 Correct 6 ms 9836 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 9836 KB Output is correct
2 Correct 6 ms 9836 KB Output is correct
3 Correct 6 ms 9836 KB Output is correct
4 Correct 6 ms 9728 KB Output is correct
5 Correct 6 ms 9836 KB Output is correct
6 Correct 6 ms 9836 KB Output is correct
7 Correct 8 ms 9836 KB Output is correct
8 Correct 6 ms 9836 KB Output is correct
9 Correct 6 ms 9836 KB Output is correct
10 Correct 6 ms 9836 KB Output is correct
11 Correct 8 ms 9964 KB Output is correct
12 Correct 8 ms 9964 KB Output is correct
13 Correct 8 ms 9964 KB Output is correct
14 Correct 8 ms 9964 KB Output is correct
15 Correct 9 ms 9964 KB Output is correct
16 Correct 9 ms 9892 KB Output is correct
17 Correct 8 ms 9964 KB Output is correct
18 Correct 8 ms 9964 KB Output is correct
19 Correct 8 ms 9964 KB Output is correct
20 Correct 8 ms 9964 KB Output is correct
21 Correct 8 ms 9964 KB Output is correct
22 Correct 8 ms 10092 KB Output is correct
23 Correct 8 ms 9964 KB Output is correct
24 Correct 8 ms 9964 KB Output is correct
25 Correct 8 ms 9964 KB Output is correct
26 Correct 8 ms 9964 KB Output is correct
27 Correct 8 ms 9964 KB Output is correct
28 Correct 8 ms 9964 KB Output is correct
29 Correct 8 ms 9964 KB Output is correct
30 Correct 8 ms 9964 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 486 ms 35308 KB Output is correct
2 Correct 197 ms 39148 KB Output is correct
3 Correct 493 ms 38636 KB Output is correct
4 Correct 193 ms 39148 KB Output is correct
5 Correct 495 ms 36076 KB Output is correct
6 Correct 198 ms 39276 KB Output is correct
7 Correct 484 ms 36588 KB Output is correct
8 Correct 190 ms 38760 KB Output is correct
9 Correct 504 ms 34668 KB Output is correct
10 Correct 472 ms 32700 KB Output is correct
11 Correct 478 ms 35180 KB Output is correct
12 Correct 486 ms 37216 KB Output is correct
13 Correct 475 ms 32364 KB Output is correct
14 Correct 487 ms 37484 KB Output is correct
15 Correct 499 ms 37280 KB Output is correct
16 Correct 476 ms 33260 KB Output is correct
17 Correct 475 ms 33772 KB Output is correct
18 Correct 474 ms 33904 KB Output is correct
19 Correct 495 ms 36460 KB Output is correct
20 Correct 502 ms 38272 KB Output is correct
21 Correct 7 ms 9836 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 9836 KB Output is correct
2 Correct 6 ms 9836 KB Output is correct
3 Correct 6 ms 9836 KB Output is correct
4 Correct 6 ms 9728 KB Output is correct
5 Correct 6 ms 9836 KB Output is correct
6 Correct 6 ms 9836 KB Output is correct
7 Correct 8 ms 9836 KB Output is correct
8 Correct 6 ms 9836 KB Output is correct
9 Correct 6 ms 9836 KB Output is correct
10 Correct 6 ms 9836 KB Output is correct
11 Correct 8 ms 9964 KB Output is correct
12 Correct 8 ms 9964 KB Output is correct
13 Correct 8 ms 9964 KB Output is correct
14 Correct 8 ms 9964 KB Output is correct
15 Correct 9 ms 9964 KB Output is correct
16 Correct 9 ms 9892 KB Output is correct
17 Correct 8 ms 9964 KB Output is correct
18 Correct 8 ms 9964 KB Output is correct
19 Correct 8 ms 9964 KB Output is correct
20 Correct 8 ms 9964 KB Output is correct
21 Correct 8 ms 9964 KB Output is correct
22 Correct 8 ms 10092 KB Output is correct
23 Correct 8 ms 9964 KB Output is correct
24 Correct 8 ms 9964 KB Output is correct
25 Correct 8 ms 9964 KB Output is correct
26 Correct 8 ms 9964 KB Output is correct
27 Correct 8 ms 9964 KB Output is correct
28 Correct 8 ms 9964 KB Output is correct
29 Correct 8 ms 9964 KB Output is correct
30 Correct 8 ms 9964 KB Output is correct
31 Correct 486 ms 35308 KB Output is correct
32 Correct 197 ms 39148 KB Output is correct
33 Correct 493 ms 38636 KB Output is correct
34 Correct 193 ms 39148 KB Output is correct
35 Correct 495 ms 36076 KB Output is correct
36 Correct 198 ms 39276 KB Output is correct
37 Correct 484 ms 36588 KB Output is correct
38 Correct 190 ms 38760 KB Output is correct
39 Correct 504 ms 34668 KB Output is correct
40 Correct 472 ms 32700 KB Output is correct
41 Correct 478 ms 35180 KB Output is correct
42 Correct 486 ms 37216 KB Output is correct
43 Correct 475 ms 32364 KB Output is correct
44 Correct 487 ms 37484 KB Output is correct
45 Correct 499 ms 37280 KB Output is correct
46 Correct 476 ms 33260 KB Output is correct
47 Correct 475 ms 33772 KB Output is correct
48 Correct 474 ms 33904 KB Output is correct
49 Correct 495 ms 36460 KB Output is correct
50 Correct 502 ms 38272 KB Output is correct
51 Correct 7 ms 9836 KB Output is correct
52 Correct 345 ms 24916 KB Output is correct
53 Correct 372 ms 24812 KB Output is correct
54 Correct 380 ms 24812 KB Output is correct
55 Correct 374 ms 24812 KB Output is correct
56 Correct 370 ms 24940 KB Output is correct
57 Correct 360 ms 24940 KB Output is correct
58 Correct 445 ms 28268 KB Output is correct
59 Correct 431 ms 28396 KB Output is correct
60 Correct 476 ms 28012 KB Output is correct
61 Correct 550 ms 27756 KB Output is correct
62 Correct 195 ms 39148 KB Output is correct
63 Correct 196 ms 39148 KB Output is correct
64 Correct 196 ms 39148 KB Output is correct
65 Correct 199 ms 39148 KB Output is correct
66 Correct 276 ms 31972 KB Output is correct
67 Correct 310 ms 31972 KB Output is correct
68 Correct 273 ms 32100 KB Output is correct
69 Correct 307 ms 32084 KB Output is correct
70 Correct 279 ms 31972 KB Output is correct
71 Correct 282 ms 31972 KB Output is correct
72 Correct 273 ms 31972 KB Output is correct
73 Correct 278 ms 31332 KB Output is correct
74 Correct 305 ms 31988 KB Output is correct
75 Correct 303 ms 31968 KB Output is correct
76 Correct 553 ms 31212 KB Output is correct
77 Correct 536 ms 29804 KB Output is correct
78 Correct 494 ms 33644 KB Output is correct
79 Correct 503 ms 31832 KB Output is correct
80 Correct 489 ms 37800 KB Output is correct
81 Correct 495 ms 34796 KB Output is correct
82 Correct 501 ms 34924 KB Output is correct
83 Correct 500 ms 32236 KB Output is correct
84 Correct 487 ms 37100 KB Output is correct
85 Correct 506 ms 35692 KB Output is correct
86 Correct 541 ms 31724 KB Output is correct
87 Correct 487 ms 33292 KB Output is correct
88 Correct 398 ms 34156 KB Output is correct
89 Correct 398 ms 30956 KB Output is correct
90 Correct 392 ms 30952 KB Output is correct
91 Correct 396 ms 32768 KB Output is correct
92 Correct 405 ms 31724 KB Output is correct
93 Correct 417 ms 31384 KB Output is correct
94 Correct 414 ms 30956 KB Output is correct
95 Correct 415 ms 32108 KB Output is correct
96 Correct 400 ms 31340 KB Output is correct
97 Correct 407 ms 32748 KB Output is correct