Submission #121322

# Submission time Handle Problem Language Result Execution time Memory
121322 2019-06-26T10:23:44 Z youngyojun Unique Cities (JOI19_ho_t5) C++11
100 / 100
807 ms 62276 KB
#include <bits/stdc++.h>
#define eb emplace_back
#define sz(V) ((int)(V).size())
#define allv(V) ((V).begin()),((V).end())
#define upmin(a,b) (a)=min((a),(b))
#define upmax(a,b) (a)=max((a),(b))
#define INF (0x3f3f3f3f)
using namespace std;

const int MAXN = 200055;
const int MAXM = 200055;

struct DJF {
	DJF() { init(); }
	int ud[MAXN];

	void init() { iota(ud, ud+MAXN, 0); }
	int uf(int i) { return i == ud[i] ? i : (ud[i] = uf(ud[i])); }
	void uf(int a, int b) { ud[uf(b)] = uf(a); }
} djf;

struct NOD {
	NOD() { init(); }

	DJF djf;

	int A[MAXN], B[MAXM];
	int L, C;

	void init() {
		djf.init();
		fill(A, A+MAXN, 0);
		fill(B, B+MAXM, 0);
		L = C = 0;
	}
	void push(int x) {
		L++;
		A[L] = x;
		B[x]++;
		if(1 == B[x]) C++;
		djf.ud[L] = L;
	}
	void pop() {
		if(djf.uf(L) == L) {
			int x = A[L];
			B[x]--;
			if(!B[x]) C--;
		}
		L--;
	}
	void f(int s, int e) {
		for(int x;;) {
			e = djf.uf(e);
			if(e < s) break;
			x = A[e];
			B[x]--;
			if(!B[x]) C--;
			djf.uf(e-1, e);
		}
	}
	void g(int i) {
		if(djf.uf(i) != i) {
			djf.ud[i] = i;
			int x = A[i];
			B[x]++;
			if(1 == B[x]) C++;
		}
	}
	int get() { return C; }
} nod;

vector<int> G[MAXN], T[MAXN];

int prt[MAXN], dep[MAXN], dmx[MAXN];

int A[MAXN];

int Ans[MAXN], PAns[MAXN];
int N, M, TA, TB;

void dfs(int i) {
	dmx[i] = dep[i];
	for(int v : G[i]) {
		if(dep[v]) continue;
		dep[v] = dep[i] + 1;
		prt[v] = i;
		dfs(v);
		upmax(dmx[i], dmx[v]);
	}
}

void f(int v) {
	nod.push(A[v]);
	int d1 = T[v].empty() ? 0 : dmx[T[v][0]] - dep[v];
	int d2 = sz(T[v]) < 2 ? 0 : dmx[T[v][1]] - dep[v];
	if(!T[v].empty()) {
		nod.f(max(1, dep[v]-d2), dep[v]-1);
		f(T[v][0]);
		nod.g(dep[v]);
	}
	if(1 < sz(T[v])) {
		for(int i = 1, n = sz(T[v]); i < n; i++) {
			nod.f(max(1, dep[v]-d1), dep[v]-1);
			f(T[v][i]);
			nod.g(dep[v]);
		}
	}
	nod.f(max(1, dep[v]-d1), dep[v]-1);
	nod.pop();
	Ans[v] = nod.get();
}

void solve(int Rt) {
	fill(dep, dep+N+1, 0);
	fill(prt, prt+N+1, 0);
	dep[Rt] = 1; dfs(Rt);

	nod.init();

	for(int i = 1; i <= N; i++) T[i].clear();
	for(int i = 1; i <= N; i++) {
		for(int v : G[i]) {
			if(v == prt[i]) continue;
			T[i].eb(v);
		}
		sort(allv(T[i]), [&](int a, int b) {
			return dmx[a] > dmx[b];
		});
	}

	f(Rt);
}

int main() {
	ios::sync_with_stdio(false);

	cin >> N >> M;
	for(int i = 1, a, b; i < N; i++) {
		cin >> a >> b;
		G[a].eb(b);
		G[b].eb(a);
	}
	for(int i = 1; i <= N; i++) cin >> A[i];

	dep[1] = 1; dfs(1);
	TA = int(max_element(dep+1, dep+N+1) - dep);
	fill(dep, dep+N+1, 0);
	dep[TA] = 1; dfs(TA);
	TB = int(max_element(dep+1, dep+N+1) - dep);

	solve(TA);
	for(int i = 1; i <= N; i++) swap(Ans[i], PAns[i]);
	solve(TB);

	for(int i = 1; i <= N; i++) printf("%d\n", max(Ans[i], PAns[i]));
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 13 ms 12928 KB Output is correct
2 Correct 14 ms 13056 KB Output is correct
3 Correct 14 ms 13056 KB Output is correct
4 Correct 15 ms 13184 KB Output is correct
5 Correct 19 ms 13056 KB Output is correct
6 Correct 19 ms 13312 KB Output is correct
7 Correct 15 ms 13184 KB Output is correct
8 Correct 16 ms 13056 KB Output is correct
9 Correct 15 ms 13184 KB Output is correct
10 Correct 16 ms 13056 KB Output is correct
11 Correct 17 ms 13056 KB Output is correct
12 Correct 14 ms 13056 KB Output is correct
13 Correct 16 ms 13312 KB Output is correct
14 Correct 15 ms 13184 KB Output is correct
15 Correct 15 ms 13184 KB Output is correct
16 Correct 14 ms 13056 KB Output is correct
17 Correct 15 ms 13176 KB Output is correct
18 Correct 17 ms 13176 KB Output is correct
19 Correct 15 ms 13056 KB Output is correct
20 Correct 15 ms 13440 KB Output is correct
21 Correct 16 ms 13184 KB Output is correct
22 Correct 17 ms 13184 KB Output is correct
23 Correct 17 ms 13184 KB Output is correct
24 Correct 16 ms 13084 KB Output is correct
25 Correct 16 ms 13056 KB Output is correct
26 Correct 14 ms 13056 KB Output is correct
27 Correct 15 ms 13440 KB Output is correct
28 Correct 17 ms 13184 KB Output is correct
29 Correct 15 ms 13184 KB Output is correct
30 Correct 15 ms 13072 KB Output is correct
31 Correct 14 ms 13312 KB Output is correct
32 Correct 15 ms 13184 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 224 ms 22284 KB Output is correct
2 Correct 336 ms 40788 KB Output is correct
3 Correct 77 ms 17656 KB Output is correct
4 Correct 457 ms 30876 KB Output is correct
5 Correct 704 ms 61428 KB Output is correct
6 Correct 655 ms 46712 KB Output is correct
7 Correct 453 ms 30684 KB Output is correct
8 Correct 546 ms 33688 KB Output is correct
9 Correct 550 ms 33016 KB Output is correct
10 Correct 522 ms 32640 KB Output is correct
11 Correct 261 ms 28912 KB Output is correct
12 Correct 631 ms 49144 KB Output is correct
13 Correct 569 ms 44712 KB Output is correct
14 Correct 610 ms 44608 KB Output is correct
15 Correct 224 ms 28796 KB Output is correct
16 Correct 561 ms 50600 KB Output is correct
17 Correct 665 ms 46320 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 475 ms 26084 KB Output is correct
2 Correct 807 ms 60192 KB Output is correct
3 Correct 72 ms 18424 KB Output is correct
4 Correct 579 ms 30968 KB Output is correct
5 Correct 772 ms 62276 KB Output is correct
6 Correct 677 ms 47224 KB Output is correct
7 Correct 448 ms 30700 KB Output is correct
8 Correct 566 ms 36784 KB Output is correct
9 Correct 496 ms 34552 KB Output is correct
10 Correct 548 ms 32988 KB Output is correct
11 Correct 402 ms 30324 KB Output is correct
12 Correct 705 ms 55544 KB Output is correct
13 Correct 538 ms 43296 KB Output is correct
14 Correct 560 ms 44152 KB Output is correct
15 Correct 250 ms 28700 KB Output is correct
16 Correct 682 ms 51184 KB Output is correct
17 Correct 663 ms 46528 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 13 ms 12928 KB Output is correct
2 Correct 14 ms 13056 KB Output is correct
3 Correct 14 ms 13056 KB Output is correct
4 Correct 15 ms 13184 KB Output is correct
5 Correct 19 ms 13056 KB Output is correct
6 Correct 19 ms 13312 KB Output is correct
7 Correct 15 ms 13184 KB Output is correct
8 Correct 16 ms 13056 KB Output is correct
9 Correct 15 ms 13184 KB Output is correct
10 Correct 16 ms 13056 KB Output is correct
11 Correct 17 ms 13056 KB Output is correct
12 Correct 14 ms 13056 KB Output is correct
13 Correct 16 ms 13312 KB Output is correct
14 Correct 15 ms 13184 KB Output is correct
15 Correct 15 ms 13184 KB Output is correct
16 Correct 14 ms 13056 KB Output is correct
17 Correct 15 ms 13176 KB Output is correct
18 Correct 17 ms 13176 KB Output is correct
19 Correct 15 ms 13056 KB Output is correct
20 Correct 15 ms 13440 KB Output is correct
21 Correct 16 ms 13184 KB Output is correct
22 Correct 17 ms 13184 KB Output is correct
23 Correct 17 ms 13184 KB Output is correct
24 Correct 16 ms 13084 KB Output is correct
25 Correct 16 ms 13056 KB Output is correct
26 Correct 14 ms 13056 KB Output is correct
27 Correct 15 ms 13440 KB Output is correct
28 Correct 17 ms 13184 KB Output is correct
29 Correct 15 ms 13184 KB Output is correct
30 Correct 15 ms 13072 KB Output is correct
31 Correct 14 ms 13312 KB Output is correct
32 Correct 15 ms 13184 KB Output is correct
33 Correct 224 ms 22284 KB Output is correct
34 Correct 336 ms 40788 KB Output is correct
35 Correct 77 ms 17656 KB Output is correct
36 Correct 457 ms 30876 KB Output is correct
37 Correct 704 ms 61428 KB Output is correct
38 Correct 655 ms 46712 KB Output is correct
39 Correct 453 ms 30684 KB Output is correct
40 Correct 546 ms 33688 KB Output is correct
41 Correct 550 ms 33016 KB Output is correct
42 Correct 522 ms 32640 KB Output is correct
43 Correct 261 ms 28912 KB Output is correct
44 Correct 631 ms 49144 KB Output is correct
45 Correct 569 ms 44712 KB Output is correct
46 Correct 610 ms 44608 KB Output is correct
47 Correct 224 ms 28796 KB Output is correct
48 Correct 561 ms 50600 KB Output is correct
49 Correct 665 ms 46320 KB Output is correct
50 Correct 475 ms 26084 KB Output is correct
51 Correct 807 ms 60192 KB Output is correct
52 Correct 72 ms 18424 KB Output is correct
53 Correct 579 ms 30968 KB Output is correct
54 Correct 772 ms 62276 KB Output is correct
55 Correct 677 ms 47224 KB Output is correct
56 Correct 448 ms 30700 KB Output is correct
57 Correct 566 ms 36784 KB Output is correct
58 Correct 496 ms 34552 KB Output is correct
59 Correct 548 ms 32988 KB Output is correct
60 Correct 402 ms 30324 KB Output is correct
61 Correct 705 ms 55544 KB Output is correct
62 Correct 538 ms 43296 KB Output is correct
63 Correct 560 ms 44152 KB Output is correct
64 Correct 250 ms 28700 KB Output is correct
65 Correct 682 ms 51184 KB Output is correct
66 Correct 663 ms 46528 KB Output is correct
67 Correct 40 ms 15352 KB Output is correct
68 Correct 223 ms 34512 KB Output is correct
69 Correct 376 ms 34432 KB Output is correct
70 Correct 494 ms 30832 KB Output is correct
71 Correct 696 ms 61468 KB Output is correct
72 Correct 653 ms 46592 KB Output is correct
73 Correct 598 ms 30612 KB Output is correct
74 Correct 558 ms 36216 KB Output is correct
75 Correct 551 ms 33192 KB Output is correct
76 Correct 589 ms 32980 KB Output is correct
77 Correct 427 ms 29936 KB Output is correct
78 Correct 705 ms 52436 KB Output is correct
79 Correct 561 ms 48372 KB Output is correct
80 Correct 574 ms 42688 KB Output is correct
81 Correct 242 ms 28772 KB Output is correct
82 Correct 523 ms 50468 KB Output is correct
83 Correct 622 ms 46032 KB Output is correct
84 Correct 529 ms 30840 KB Output is correct
85 Correct 771 ms 61816 KB Output is correct
86 Correct 704 ms 46832 KB Output is correct
87 Correct 484 ms 30716 KB Output is correct
88 Correct 511 ms 36856 KB Output is correct
89 Correct 457 ms 33656 KB Output is correct
90 Correct 485 ms 33052 KB Output is correct
91 Correct 367 ms 29920 KB Output is correct
92 Correct 734 ms 60580 KB Output is correct
93 Correct 518 ms 40576 KB Output is correct
94 Correct 528 ms 38136 KB Output is correct
95 Correct 234 ms 28648 KB Output is correct
96 Correct 581 ms 50700 KB Output is correct
97 Correct 644 ms 46196 KB Output is correct
98 Correct 522 ms 30816 KB Output is correct
99 Correct 806 ms 61988 KB Output is correct
100 Correct 736 ms 46836 KB Output is correct
101 Correct 503 ms 30584 KB Output is correct
102 Correct 552 ms 35452 KB Output is correct
103 Correct 507 ms 33468 KB Output is correct
104 Correct 538 ms 32864 KB Output is correct
105 Correct 374 ms 29692 KB Output is correct
106 Correct 717 ms 47348 KB Output is correct
107 Correct 618 ms 48112 KB Output is correct
108 Correct 607 ms 39640 KB Output is correct
109 Correct 257 ms 28468 KB Output is correct
110 Correct 608 ms 50928 KB Output is correct
111 Correct 567 ms 46452 KB Output is correct