oj.uz

Submission #224462

# Submission time Handle Problem Language Result Execution time Memory
224462 2020-04-18T00:23:14 Z super_j6 Capital City (JOI20_capital_city) C++14
100 / 100
 567 ms 64504 KB 
#include <iostream>
#include <cstdio>
#include <algorithm>
#include <vector>
#include <stack>
using namespace std;
#define endl '\n'
#define ll long long
#define pi pair<int, int>
#define f first
#define s second

const int maxn = 200000, k = 18;
int n, m;
int a[maxn], d[maxn], lc[maxn], id[maxn];
int p[k][maxn];
bool used[maxn];
vector<int> graph[maxn], scc[maxn];
vector<int> g[2][maxn];
stack<int> stk;
int s;

void dfs(int c){
	for(int i : graph[c]){
		if(i == p[0][c]) continue;
		d[i] = d[c] + 1;
		p[0][i] = c;
		dfs(i);
	}
}

void dfs2(int c, int t){
	used[c] = !t;
	for(int i : g[t][c]){
		if(used[i] ^ t) continue;
		dfs2(i, t);
	}
	if(t) scc[s].push_back(c), id[c] = s;
	else stk.push(c);
}

int main(){
	ios::sync_with_stdio(false);
	cin.tie(NULL);
	
	cin >> n >> m;
	
	for(int i = 0; i < n - 1; i++){
		int u, v;
		cin >> u >> v;
		u--, v--;
		graph[u].push_back(v);
		graph[v].push_back(u);
	}
	
	dfs(0);
	
	for(int i = 1; i < k; i++)
	for(int j = 0; j < n; j++){
		p[i][j] = p[i - 1][j] == -1 ? -1 : p[i - 1][p[i - 1][j]];
	}
	
	for(int i = 0; i < m; i++) lc[i] = -1;
	for(int i = 0; i < n; i++){
		cin >> a[i];
		a[i]--;
		if(lc[a[i]] == -1){
			lc[a[i]] = i;
		}else{
			int x = lc[a[i]], y = i;
			if(d[x] < d[y]) swap(x, y);
			for(int j = k - 1; j >= 0; j--) if(p[j][x] != -1 && d[p[j][x]] >= d[y]) x = p[j][x];
			for(int j = k - 1; j >= 0; j--) if(p[j][x] != p[j][y]) x = p[j][x], y = p[j][y];
			lc[a[i]] = x == y ? x : p[0][x];
		}
	}
	
	for(int i = 0; i < n; i++){
		if(i != lc[a[i]] && a[p[0][i]] != a[i]){
			g[0][a[p[0][i]]].push_back(a[i]);
			g[1][a[i]].push_back(a[p[0][i]]);
		}
	}
	for(int i = 0; i < m; i++)
	for(int t = 0; t < 2; t++){
		sort(g[t][i].begin(), g[t][i].end());
		g[t][i].erase(unique(g[t][i].begin(), g[t][i].end()), g[t][i].end());
	}
	
	for(int i = 0; i < m; i++) if(!used[i]) dfs2(i, 0);
	while(!stk.empty()){
		int c = stk.top();
		stk.pop();
		if(used[c]) dfs2(c, 1), s++;
	}
	
	int ret = m;
	for(int i = 0; i < s; i++){
		bool t = 1;
		for(int j : scc[i])
		for(int l : g[1][j]){
			t &= id[l] == i;
		}
		if(t) ret = min(ret, (int)scc[i].size() - 1);
	}
	
	cout << ret << endl;

	return 0;
}

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 19328 KB Output is correct
2 Correct 15 ms 19200 KB Output is correct
3 Correct 16 ms 19200 KB Output is correct
4 Correct 15 ms 19200 KB Output is correct
5 Correct 15 ms 19200 KB Output is correct
6 Correct 16 ms 19328 KB Output is correct
7 Correct 20 ms 19200 KB Output is correct
8 Correct 16 ms 19328 KB Output is correct
9 Correct 18 ms 19328 KB Output is correct
10 Correct 18 ms 19200 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 19328 KB Output is correct
2 Correct 15 ms 19200 KB Output is correct
3 Correct 16 ms 19200 KB Output is correct
4 Correct 15 ms 19200 KB Output is correct
5 Correct 15 ms 19200 KB Output is correct
6 Correct 16 ms 19328 KB Output is correct
7 Correct 20 ms 19200 KB Output is correct
8 Correct 16 ms 19328 KB Output is correct
9 Correct 18 ms 19328 KB Output is correct
10 Correct 18 ms 19200 KB Output is correct
11 Correct 16 ms 19584 KB Output is correct
12 Correct 20 ms 19584 KB Output is correct
13 Correct 20 ms 19584 KB Output is correct
14 Correct 22 ms 19584 KB Output is correct
15 Correct 20 ms 19584 KB Output is correct
16 Correct 17 ms 19584 KB Output is correct
17 Correct 16 ms 19584 KB Output is correct
18 Correct 17 ms 19584 KB Output is correct
19 Correct 18 ms 19584 KB Output is correct
20 Correct 17 ms 19584 KB Output is correct
21 Correct 17 ms 19584 KB Output is correct
22 Correct 19 ms 19712 KB Output is correct
23 Correct 20 ms 19584 KB Output is correct
24 Correct 17 ms 19584 KB Output is correct
25 Correct 19 ms 19584 KB Output is correct
26 Correct 17 ms 19688 KB Output is correct
27 Correct 17 ms 19640 KB Output is correct
28 Correct 17 ms 19584 KB Output is correct
29 Correct 17 ms 19584 KB Output is correct
30 Correct 19 ms 19584 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 553 ms 64188 KB Output is correct
2 Correct 178 ms 64376 KB Output is correct
3 Correct 506 ms 63992 KB Output is correct
4 Correct 167 ms 64376 KB Output is correct
5 Correct 521 ms 61540 KB Output is correct
6 Correct 169 ms 64356 KB Output is correct
7 Correct 553 ms 61168 KB Output is correct
8 Correct 165 ms 62584 KB Output is correct
9 Correct 369 ms 56440 KB Output is correct
10 Correct 357 ms 54900 KB Output is correct
11 Correct 365 ms 56744 KB Output is correct
12 Correct 372 ms 58212 KB Output is correct
13 Correct 371 ms 54600 KB Output is correct
14 Correct 425 ms 58464 KB Output is correct
15 Correct 391 ms 58232 KB Output is correct
16 Correct 361 ms 55160 KB Output is correct
17 Correct 386 ms 55672 KB Output is correct
18 Correct 368 ms 55672 KB Output is correct
19 Correct 385 ms 57652 KB Output is correct
20 Correct 359 ms 58872 KB Output is correct
21 Correct 15 ms 19200 KB Output is correct

Subtask #4
59.0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 19328 KB Output is correct
2 Correct 15 ms 19200 KB Output is correct
3 Correct 16 ms 19200 KB Output is correct
4 Correct 15 ms 19200 KB Output is correct
5 Correct 15 ms 19200 KB Output is correct
6 Correct 16 ms 19328 KB Output is correct
7 Correct 20 ms 19200 KB Output is correct
8 Correct 16 ms 19328 KB Output is correct
9 Correct 18 ms 19328 KB Output is correct
10 Correct 18 ms 19200 KB Output is correct
11 Correct 16 ms 19584 KB Output is correct
12 Correct 20 ms 19584 KB Output is correct
13 Correct 20 ms 19584 KB Output is correct
14 Correct 22 ms 19584 KB Output is correct
15 Correct 20 ms 19584 KB Output is correct
16 Correct 17 ms 19584 KB Output is correct
17 Correct 16 ms 19584 KB Output is correct
18 Correct 17 ms 19584 KB Output is correct
19 Correct 18 ms 19584 KB Output is correct
20 Correct 17 ms 19584 KB Output is correct
21 Correct 17 ms 19584 KB Output is correct
22 Correct 19 ms 19712 KB Output is correct
23 Correct 20 ms 19584 KB Output is correct
24 Correct 17 ms 19584 KB Output is correct
25 Correct 19 ms 19584 KB Output is correct
26 Correct 17 ms 19688 KB Output is correct
27 Correct 17 ms 19640 KB Output is correct
28 Correct 17 ms 19584 KB Output is correct
29 Correct 17 ms 19584 KB Output is correct
30 Correct 19 ms 19584 KB Output is correct
31 Correct 553 ms 64188 KB Output is correct
32 Correct 178 ms 64376 KB Output is correct
33 Correct 506 ms 63992 KB Output is correct
34 Correct 167 ms 64376 KB Output is correct
35 Correct 521 ms 61540 KB Output is correct
36 Correct 169 ms 64356 KB Output is correct
37 Correct 553 ms 61168 KB Output is correct
38 Correct 165 ms 62584 KB Output is correct
39 Correct 369 ms 56440 KB Output is correct
40 Correct 357 ms 54900 KB Output is correct
41 Correct 365 ms 56744 KB Output is correct
42 Correct 372 ms 58212 KB Output is correct
43 Correct 371 ms 54600 KB Output is correct
44 Correct 425 ms 58464 KB Output is correct
45 Correct 391 ms 58232 KB Output is correct
46 Correct 361 ms 55160 KB Output is correct
47 Correct 386 ms 55672 KB Output is correct
48 Correct 368 ms 55672 KB Output is correct
49 Correct 385 ms 57652 KB Output is correct
50 Correct 359 ms 58872 KB Output is correct
51 Correct 15 ms 19200 KB Output is correct
52 Correct 258 ms 49180 KB Output is correct
53 Correct 267 ms 49220 KB Output is correct
54 Correct 261 ms 49272 KB Output is correct
55 Correct 266 ms 49260 KB Output is correct
56 Correct 270 ms 49272 KB Output is correct
57 Correct 272 ms 49272 KB Output is correct
58 Correct 472 ms 53624 KB Output is correct
59 Correct 528 ms 54264 KB Output is correct
60 Correct 540 ms 53628 KB Output is correct
61 Correct 512 ms 53496 KB Output is correct
62 Correct 179 ms 64504 KB Output is correct
63 Correct 177 ms 64376 KB Output is correct
64 Correct 170 ms 62968 KB Output is correct
65 Correct 171 ms 64248 KB Output is correct
66 Correct 370 ms 53812 KB Output is correct
67 Correct 284 ms 53744 KB Output is correct
68 Correct 321 ms 53872 KB Output is correct
69 Correct 321 ms 53900 KB Output is correct
70 Correct 387 ms 54000 KB Output is correct
71 Correct 317 ms 53740 KB Output is correct
72 Correct 339 ms 53744 KB Output is correct
73 Correct 264 ms 53232 KB Output is correct
74 Correct 315 ms 53820 KB Output is correct
75 Correct 361 ms 53872 KB Output is correct
76 Correct 567 ms 58488 KB Output is correct
77 Correct 459 ms 57336 KB Output is correct
78 Correct 361 ms 55800 KB Output is correct
79 Correct 350 ms 54368 KB Output is correct
80 Correct 349 ms 58616 KB Output is correct
81 Correct 356 ms 56440 KB Output is correct
82 Correct 392 ms 56676 KB Output is correct
83 Correct 362 ms 54596 KB Output is correct
84 Correct 366 ms 58232 KB Output is correct
85 Correct 352 ms 57080 KB Output is correct
86 Correct 378 ms 54256 KB Output is correct
87 Correct 363 ms 55412 KB Output is correct
88 Correct 501 ms 56056 KB Output is correct
89 Correct 399 ms 53624 KB Output is correct
90 Correct 373 ms 53488 KB Output is correct
91 Correct 344 ms 55008 KB Output is correct
92 Correct 387 ms 54136 KB Output is correct
93 Correct 381 ms 53880 KB Output is correct
94 Correct 381 ms 53752 KB Output is correct
95 Correct 357 ms 54400 KB Output is correct
96 Correct 375 ms 53764 KB Output is correct
97 Correct 388 ms 54904 KB Output is correct