oj.uz

Submission #596406

# Submission time Handle Problem Language Result Execution time Memory
596406 2022-07-14T17:17:07 Z penguinhacker Capital City (JOI20_capital_city) C++17
100 / 100
 355 ms 68896 KB 
#include <bits/stdc++.h>
using namespace std;
 
#define ll long long
#define ar array
 
const int mxN=2e5;
int n, k, c[mxN], d[mxN], anc[mxN][18], tin[mxN], t, who[mxN], cnt[mxN];
vector<int> oc[mxN], adj1[mxN], adj2[mxN], adj3[mxN], st;
bool vis[mxN], out[mxN];
 
void dfs1(int u=0) {
	tin[u]=t++;
	for (int i=1; i<18; ++i)
		anc[u][i]=anc[anc[u][i-1]][i-1];
	for (int v : adj1[u])
		if (v!=anc[u][0]) {
			d[v]=d[u]+1, anc[v][0]=u;
			dfs1(v);
		}
}
 
int lca(int u, int v) {
	if (d[u]>d[v])
		swap(u, v);
	for (int i=17; ~i; --i)
		if (d[v]-(1<<i)>=d[u])
			v=anc[v][i];
	if (u==v)
		return u;
	for (int i=17; ~i; --i)
		if (anc[u][i]!=anc[v][i])
			u=anc[u][i], v=anc[v][i];
	return anc[u][0];
}
 
void dfs2(int u) {
	vis[u]=1;
	for (int v : adj2[u])
		if (!vis[v])
			dfs2(v);
	st.push_back(u);
}
 
void dfs3(int u, int rt) {
	vis[u]=0, who[u]=rt;
	++cnt[rt];
	for (int v : adj3[u])
		if (vis[v])
			dfs3(v, rt);
}
 
void ae(int u, int v) {
	adj2[u].push_back(v);
	adj3[v].push_back(u);
}
 
int main() {
	ios::sync_with_stdio(0);
	cin.tie(0);
	cin >> n >> k;
	for (int i=1; i<n; ++i) {
		int u, v;
		cin >> u >> v, --u, --v;
		adj1[u].push_back(v);
		adj1[v].push_back(u);
	}
	for (int i=0; i<n; ++i) {
		cin >> c[i], --c[i];
		oc[c[i]].push_back(i);
	}
	dfs1();
	for (int i=0; i<k; ++i) {
		int l=oc[i][0];
		for (int j=1; j<oc[i].size(); ++j)
			l=lca(l, oc[i][j]);
		for (int j : oc[i])
			if (j!=l&&c[j]!=c[anc[j][0]])
				ae(c[j], c[anc[j][0]]);
	} 
	for (int i=0; i<k; ++i)
		if (!vis[i])
			dfs2(i);
	reverse(st.begin(), st.end());
	for (int i : st)
		if (vis[i])
			dfs3(i, i);
	for (int i : st)
		for (int j : adj2[i])
			if (who[i]!=who[j])
				out[who[i]]=1;
	int ans=69696969;
	for (int i=0; i<k; ++i)
		if (!out[who[i]])
			ans=min(ans, cnt[who[i]]-1);
	cout << ans;
	return 0;
}

Compilation message

capital_city.cpp: In function 'int main()':
capital_city.cpp:75:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   75 |   for (int j=1; j<oc[i].size(); ++j)
      |                 ~^~~~~~~~~~~~~

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 19124 KB Output is correct
2 Correct 10 ms 19148 KB Output is correct
3 Correct 10 ms 19028 KB Output is correct
4 Correct 10 ms 19028 KB Output is correct
5 Correct 10 ms 19092 KB Output is correct
6 Correct 10 ms 19148 KB Output is correct
7 Correct 10 ms 19052 KB Output is correct
8 Correct 11 ms 19120 KB Output is correct
9 Correct 13 ms 19156 KB Output is correct
10 Correct 11 ms 19148 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 19124 KB Output is correct
2 Correct 10 ms 19148 KB Output is correct
3 Correct 10 ms 19028 KB Output is correct
4 Correct 10 ms 19028 KB Output is correct
5 Correct 10 ms 19092 KB Output is correct
6 Correct 10 ms 19148 KB Output is correct
7 Correct 10 ms 19052 KB Output is correct
8 Correct 11 ms 19120 KB Output is correct
9 Correct 13 ms 19156 KB Output is correct
10 Correct 11 ms 19148 KB Output is correct
11 Correct 11 ms 19444 KB Output is correct
12 Correct 11 ms 19464 KB Output is correct
13 Correct 12 ms 19412 KB Output is correct
14 Correct 11 ms 19380 KB Output is correct
15 Correct 11 ms 19528 KB Output is correct
16 Correct 12 ms 19428 KB Output is correct
17 Correct 11 ms 19412 KB Output is correct
18 Correct 11 ms 19516 KB Output is correct
19 Correct 11 ms 19524 KB Output is correct
20 Correct 13 ms 19488 KB Output is correct
21 Correct 12 ms 19412 KB Output is correct
22 Correct 12 ms 19616 KB Output is correct
23 Correct 14 ms 19540 KB Output is correct
24 Correct 12 ms 19540 KB Output is correct
25 Correct 11 ms 19540 KB Output is correct
26 Correct 11 ms 19540 KB Output is correct
27 Correct 11 ms 19516 KB Output is correct
28 Correct 11 ms 19556 KB Output is correct
29 Correct 11 ms 19412 KB Output is correct
30 Correct 12 ms 19520 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 337 ms 68404 KB Output is correct
2 Correct 125 ms 68808 KB Output is correct
3 Correct 323 ms 68236 KB Output is correct
4 Correct 138 ms 68896 KB Output is correct
5 Correct 355 ms 65144 KB Output is correct
6 Correct 123 ms 68772 KB Output is correct
7 Correct 355 ms 64988 KB Output is correct
8 Correct 120 ms 67148 KB Output is correct
9 Correct 267 ms 61232 KB Output is correct
10 Correct 329 ms 59228 KB Output is correct
11 Correct 267 ms 61580 KB Output is correct
12 Correct 298 ms 63648 KB Output is correct
13 Correct 266 ms 58960 KB Output is correct
14 Correct 297 ms 63988 KB Output is correct
15 Correct 281 ms 63848 KB Output is correct
16 Correct 297 ms 59684 KB Output is correct
17 Correct 271 ms 60200 KB Output is correct
18 Correct 291 ms 60360 KB Output is correct
19 Correct 292 ms 62912 KB Output is correct
20 Correct 292 ms 64552 KB Output is correct
21 Correct 12 ms 19032 KB Output is correct

Subtask #4
59.0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 19124 KB Output is correct
2 Correct 10 ms 19148 KB Output is correct
3 Correct 10 ms 19028 KB Output is correct
4 Correct 10 ms 19028 KB Output is correct
5 Correct 10 ms 19092 KB Output is correct
6 Correct 10 ms 19148 KB Output is correct
7 Correct 10 ms 19052 KB Output is correct
8 Correct 11 ms 19120 KB Output is correct
9 Correct 13 ms 19156 KB Output is correct
10 Correct 11 ms 19148 KB Output is correct
11 Correct 11 ms 19444 KB Output is correct
12 Correct 11 ms 19464 KB Output is correct
13 Correct 12 ms 19412 KB Output is correct
14 Correct 11 ms 19380 KB Output is correct
15 Correct 11 ms 19528 KB Output is correct
16 Correct 12 ms 19428 KB Output is correct
17 Correct 11 ms 19412 KB Output is correct
18 Correct 11 ms 19516 KB Output is correct
19 Correct 11 ms 19524 KB Output is correct
20 Correct 13 ms 19488 KB Output is correct
21 Correct 12 ms 19412 KB Output is correct
22 Correct 12 ms 19616 KB Output is correct
23 Correct 14 ms 19540 KB Output is correct
24 Correct 12 ms 19540 KB Output is correct
25 Correct 11 ms 19540 KB Output is correct
26 Correct 11 ms 19540 KB Output is correct
27 Correct 11 ms 19516 KB Output is correct
28 Correct 11 ms 19556 KB Output is correct
29 Correct 11 ms 19412 KB Output is correct
30 Correct 12 ms 19520 KB Output is correct
31 Correct 337 ms 68404 KB Output is correct
32 Correct 125 ms 68808 KB Output is correct
33 Correct 323 ms 68236 KB Output is correct
34 Correct 138 ms 68896 KB Output is correct
35 Correct 355 ms 65144 KB Output is correct
36 Correct 123 ms 68772 KB Output is correct
37 Correct 355 ms 64988 KB Output is correct
38 Correct 120 ms 67148 KB Output is correct
39 Correct 267 ms 61232 KB Output is correct
40 Correct 329 ms 59228 KB Output is correct
41 Correct 267 ms 61580 KB Output is correct
42 Correct 298 ms 63648 KB Output is correct
43 Correct 266 ms 58960 KB Output is correct
44 Correct 297 ms 63988 KB Output is correct
45 Correct 281 ms 63848 KB Output is correct
46 Correct 297 ms 59684 KB Output is correct
47 Correct 271 ms 60200 KB Output is correct
48 Correct 291 ms 60360 KB Output is correct
49 Correct 292 ms 62912 KB Output is correct
50 Correct 292 ms 64552 KB Output is correct
51 Correct 12 ms 19032 KB Output is correct
52 Correct 243 ms 50896 KB Output is correct
53 Correct 251 ms 50840 KB Output is correct
54 Correct 245 ms 50892 KB Output is correct
55 Correct 257 ms 50908 KB Output is correct
56 Correct 245 ms 50904 KB Output is correct
57 Correct 285 ms 51036 KB Output is correct
58 Correct 262 ms 55736 KB Output is correct
59 Correct 291 ms 56232 KB Output is correct
60 Correct 294 ms 55604 KB Output is correct
61 Correct 308 ms 55484 KB Output is correct
62 Correct 133 ms 68856 KB Output is correct
63 Correct 126 ms 68864 KB Output is correct
64 Correct 129 ms 67572 KB Output is correct
65 Correct 131 ms 68668 KB Output is correct
66 Correct 211 ms 56976 KB Output is correct
67 Correct 204 ms 56884 KB Output is correct
68 Correct 233 ms 57024 KB Output is correct
69 Correct 201 ms 56984 KB Output is correct
70 Correct 225 ms 56972 KB Output is correct
71 Correct 224 ms 56900 KB Output is correct
72 Correct 207 ms 56948 KB Output is correct
73 Correct 228 ms 56228 KB Output is correct
74 Correct 212 ms 57056 KB Output is correct
75 Correct 231 ms 57056 KB Output is correct
76 Correct 248 ms 60860 KB Output is correct
77 Correct 266 ms 59320 KB Output is correct
78 Correct 280 ms 60248 KB Output is correct
79 Correct 271 ms 58524 KB Output is correct
80 Correct 335 ms 64160 KB Output is correct
81 Correct 268 ms 61392 KB Output is correct
82 Correct 305 ms 61564 KB Output is correct
83 Correct 270 ms 58764 KB Output is correct
84 Correct 286 ms 63588 KB Output is correct
85 Correct 269 ms 62288 KB Output is correct
86 Correct 270 ms 58488 KB Output is correct
87 Correct 306 ms 59880 KB Output is correct
88 Correct 288 ms 60460 KB Output is correct
89 Correct 296 ms 57112 KB Output is correct
90 Correct 258 ms 57016 KB Output is correct
91 Correct 309 ms 58824 KB Output is correct
92 Correct 292 ms 58064 KB Output is correct
93 Correct 326 ms 57496 KB Output is correct
94 Correct 262 ms 57044 KB Output is correct
95 Correct 317 ms 58248 KB Output is correct
96 Correct 266 ms 57308 KB Output is correct
97 Correct 275 ms 58884 KB Output is correct