oj.uz

Submission #881625

# Submission time Handle Problem Language Result Execution time Memory
881625 2023-12-01T15:58:41 Z tsumondai Unique Cities (JOI19_ho_t5) C++14
100 / 100
 328 ms 49284 KB 
#include <bits/stdc++.h>
using namespace std;

#define fi first
#define se second
#define pb push_back
#define mp make_pair
#define foru(i, l, r) for(int i = l; i <= r; i++)
#define ford(i, r, l) for(int i = r; i >= l; i--)
#define __TIME  (1.0 * clock() / CLOCKS_PER_SEC)

typedef pair<int, int> ii;
typedef pair<ii, int> iii;
typedef pair<ii, ii> iiii;
 
const int N = 2e5 + 5;
 
const int oo = 1e9, mod = 1e9 + 7;
 
int n, m, k, color[N], ptr;
string s;
vector<int> adj[N];

int dp[N], depth[N];

void dfs_len(int u, int p = 0) {
    dp[u] = depth[u] = depth[p] + 1;
    if (depth[ptr] < depth[u]) ptr = u;
 
    for (int v : adj[u]) if (v != p) {
        dfs_len(v, u);
        dp[u] = max(dp[u], dp[v]);
    }
}
 
int cnt[N], cnt_unique, ans[N];
vector<int> A;
void add(int x) {
    if (++cnt[color[x]] == 1) ++cnt_unique;
    A.push_back(x);
}
void del() {
    int x = A.back(); A.pop_back();
    if (--cnt[color[x]] == 0) --cnt_unique;
}
void dfs(int u, int p = 0) {
    if (p) add(p);
    vector<ii> vec;
    for (int v : adj[u]) if (v != p) vec.emplace_back(dp[v], v);
    sort(vec.begin(), vec.end(), greater<ii>());
 
    int mx1 = vec.size() > 0 ? vec[0].fi : 0;
    int mx2 = vec.size() > 1 ? vec[1].fi : 0;
    for (ii v : vec) {
        int mx = mx1 + mx2 - max(v.fi, mx2);
        while (!A.empty() && mx - depth[u] >= depth[u] - depth[A.back()]) del();
        dfs(v.se, u);
    }
 
    while (!A.empty() && dp[u] - depth[u] >= depth[u] - depth[A.back()]) del();
    ans[u] = max(ans[u], cnt_unique);
}

void process() {
	cin >> n >> m;
	foru(i,1,n-1) {
		int u, v; cin >> u >> v;
		adj[u].pb(v); adj[v].pb(u);
	}

	foru(i,1,n) cin >> color[i];

	dfs_len(ptr=1);
	int i;
	foru(k,0,1) {
		dfs_len(i=ptr);
		dfs(i);
	}
	foru(i,1,n) cout << ans[i] << ' ';
    return;
}

signed main() {
    cin.tie(0)->sync_with_stdio(false);
    //freopen(".inp", "r", stdin);
    //freopen(".out", "w", stdout);
    process();
    cerr << "Time elapsed: " << __TIME << " s.\n";
    return 0;
}

/*
Xét các trường hợp đặc biệt
Kiểm tra lại input/output
Cố gắng trâu
Lật ngược bài toán
Keep calm and get VOI 
Flow:

*/

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6488 KB Output is correct
2 Correct 2 ms 6748 KB Output is correct
3 Correct 2 ms 6820 KB Output is correct
4 Correct 2 ms 6748 KB Output is correct
5 Correct 3 ms 6748 KB Output is correct
6 Correct 2 ms 7000 KB Output is correct
7 Correct 2 ms 6744 KB Output is correct
8 Correct 2 ms 6748 KB Output is correct
9 Correct 3 ms 6748 KB Output is correct
10 Correct 3 ms 6712 KB Output is correct
11 Correct 2 ms 6744 KB Output is correct
12 Correct 2 ms 6772 KB Output is correct
13 Correct 2 ms 7004 KB Output is correct
14 Correct 2 ms 6844 KB Output is correct
15 Correct 3 ms 6748 KB Output is correct
16 Correct 2 ms 6744 KB Output is correct
17 Correct 2 ms 6748 KB Output is correct
18 Correct 3 ms 6712 KB Output is correct
19 Correct 2 ms 6748 KB Output is correct
20 Correct 2 ms 7004 KB Output is correct
21 Correct 2 ms 6748 KB Output is correct
22 Correct 2 ms 6636 KB Output is correct
23 Correct 2 ms 6748 KB Output is correct
24 Correct 2 ms 6748 KB Output is correct
25 Correct 2 ms 6748 KB Output is correct
26 Correct 2 ms 6744 KB Output is correct
27 Correct 2 ms 6748 KB Output is correct
28 Correct 2 ms 6748 KB Output is correct
29 Correct 2 ms 6748 KB Output is correct
30 Correct 2 ms 6748 KB Output is correct
31 Correct 2 ms 6748 KB Output is correct
32 Correct 2 ms 6748 KB Output is correct

Subtask #2
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 62 ms 12840 KB Output is correct
2 Correct 94 ms 29352 KB Output is correct
3 Correct 17 ms 10172 KB Output is correct
4 Correct 139 ms 17968 KB Output is correct
5 Correct 237 ms 46680 KB Output is correct
6 Correct 267 ms 32100 KB Output is correct
7 Correct 129 ms 18216 KB Output is correct
8 Correct 237 ms 20980 KB Output is correct
9 Correct 141 ms 20052 KB Output is correct
10 Correct 164 ms 19824 KB Output is correct
11 Correct 115 ms 21756 KB Output is correct
12 Correct 238 ms 36040 KB Output is correct
13 Correct 212 ms 32264 KB Output is correct
14 Correct 185 ms 31592 KB Output is correct
15 Correct 102 ms 21788 KB Output is correct
16 Correct 195 ms 37984 KB Output is correct
17 Correct 200 ms 32828 KB Output is correct

Subtask #3
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 93 ms 16688 KB Output is correct
2 Correct 218 ms 47428 KB Output is correct
3 Correct 19 ms 10840 KB Output is correct
4 Correct 164 ms 19512 KB Output is correct
5 Correct 291 ms 49284 KB Output is correct
6 Correct 205 ms 33996 KB Output is correct
7 Correct 192 ms 19800 KB Output is correct
8 Correct 163 ms 25688 KB Output is correct
9 Correct 160 ms 23572 KB Output is correct
10 Correct 150 ms 21800 KB Output is correct
11 Correct 139 ms 21208 KB Output is correct
12 Correct 229 ms 43336 KB Output is correct
13 Correct 187 ms 32512 KB Output is correct
14 Correct 207 ms 32744 KB Output is correct
15 Correct 127 ms 22684 KB Output is correct
16 Correct 249 ms 39996 KB Output is correct
17 Correct 230 ms 34624 KB Output is correct

Subtask #4
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 6488 KB Output is correct
2 Correct 2 ms 6748 KB Output is correct
3 Correct 2 ms 6820 KB Output is correct
4 Correct 2 ms 6748 KB Output is correct
5 Correct 3 ms 6748 KB Output is correct
6 Correct 2 ms 7000 KB Output is correct
7 Correct 2 ms 6744 KB Output is correct
8 Correct 2 ms 6748 KB Output is correct
9 Correct 3 ms 6748 KB Output is correct
10 Correct 3 ms 6712 KB Output is correct
11 Correct 2 ms 6744 KB Output is correct
12 Correct 2 ms 6772 KB Output is correct
13 Correct 2 ms 7004 KB Output is correct
14 Correct 2 ms 6844 KB Output is correct
15 Correct 3 ms 6748 KB Output is correct
16 Correct 2 ms 6744 KB Output is correct
17 Correct 2 ms 6748 KB Output is correct
18 Correct 3 ms 6712 KB Output is correct
19 Correct 2 ms 6748 KB Output is correct
20 Correct 2 ms 7004 KB Output is correct
21 Correct 2 ms 6748 KB Output is correct
22 Correct 2 ms 6636 KB Output is correct
23 Correct 2 ms 6748 KB Output is correct
24 Correct 2 ms 6748 KB Output is correct
25 Correct 2 ms 6748 KB Output is correct
26 Correct 2 ms 6744 KB Output is correct
27 Correct 2 ms 6748 KB Output is correct
28 Correct 2 ms 6748 KB Output is correct
29 Correct 2 ms 6748 KB Output is correct
30 Correct 2 ms 6748 KB Output is correct
31 Correct 2 ms 6748 KB Output is correct
32 Correct 2 ms 6748 KB Output is correct
33 Correct 62 ms 12840 KB Output is correct
34 Correct 94 ms 29352 KB Output is correct
35 Correct 17 ms 10172 KB Output is correct
36 Correct 139 ms 17968 KB Output is correct
37 Correct 237 ms 46680 KB Output is correct
38 Correct 267 ms 32100 KB Output is correct
39 Correct 129 ms 18216 KB Output is correct
40 Correct 237 ms 20980 KB Output is correct
41 Correct 141 ms 20052 KB Output is correct
42 Correct 164 ms 19824 KB Output is correct
43 Correct 115 ms 21756 KB Output is correct
44 Correct 238 ms 36040 KB Output is correct
45 Correct 212 ms 32264 KB Output is correct
46 Correct 185 ms 31592 KB Output is correct
47 Correct 102 ms 21788 KB Output is correct
48 Correct 195 ms 37984 KB Output is correct
49 Correct 200 ms 32828 KB Output is correct
50 Correct 93 ms 16688 KB Output is correct
51 Correct 218 ms 47428 KB Output is correct
52 Correct 19 ms 10840 KB Output is correct
53 Correct 164 ms 19512 KB Output is correct
54 Correct 291 ms 49284 KB Output is correct
55 Correct 205 ms 33996 KB Output is correct
56 Correct 192 ms 19800 KB Output is correct
57 Correct 163 ms 25688 KB Output is correct
58 Correct 160 ms 23572 KB Output is correct
59 Correct 150 ms 21800 KB Output is correct
60 Correct 139 ms 21208 KB Output is correct
61 Correct 229 ms 43336 KB Output is correct
62 Correct 187 ms 32512 KB Output is correct
63 Correct 207 ms 32744 KB Output is correct
64 Correct 127 ms 22684 KB Output is correct
65 Correct 249 ms 39996 KB Output is correct
66 Correct 230 ms 34624 KB Output is correct
67 Correct 16 ms 8536 KB Output is correct
68 Correct 69 ms 24544 KB Output is correct
69 Correct 99 ms 22916 KB Output is correct
70 Correct 134 ms 18004 KB Output is correct
71 Correct 287 ms 46976 KB Output is correct
72 Correct 227 ms 31944 KB Output is correct
73 Correct 173 ms 18048 KB Output is correct
74 Correct 215 ms 23632 KB Output is correct
75 Correct 167 ms 20620 KB Output is correct
76 Correct 155 ms 20260 KB Output is correct
77 Correct 140 ms 19772 KB Output is correct
78 Correct 328 ms 38844 KB Output is correct
79 Correct 217 ms 36264 KB Output is correct
80 Correct 213 ms 30092 KB Output is correct
81 Correct 103 ms 21544 KB Output is correct
82 Correct 251 ms 37880 KB Output is correct
83 Correct 191 ms 32576 KB Output is correct
84 Correct 133 ms 18256 KB Output is correct
85 Correct 285 ms 47344 KB Output is correct
86 Correct 224 ms 32464 KB Output is correct
87 Correct 132 ms 18248 KB Output is correct
88 Correct 171 ms 24388 KB Output is correct
89 Correct 141 ms 21440 KB Output is correct
90 Correct 164 ms 21012 KB Output is correct
91 Correct 197 ms 20204 KB Output is correct
92 Correct 274 ms 46480 KB Output is correct
93 Correct 215 ms 28688 KB Output is correct
94 Correct 170 ms 26128 KB Output is correct
95 Correct 108 ms 22072 KB Output is correct
96 Correct 194 ms 38324 KB Output is correct
97 Correct 231 ms 33236 KB Output is correct
98 Correct 152 ms 19540 KB Output is correct
99 Correct 289 ms 47872 KB Output is correct
100 Correct 227 ms 33740 KB Output is correct
101 Correct 204 ms 19528 KB Output is correct
102 Correct 168 ms 23636 KB Output is correct
103 Correct 169 ms 21756 KB Output is correct
104 Correct 171 ms 21076 KB Output is correct
105 Correct 178 ms 20588 KB Output is correct
106 Correct 226 ms 35536 KB Output is correct
107 Correct 205 ms 36484 KB Output is correct
108 Correct 199 ms 28532 KB Output is correct
109 Correct 130 ms 22756 KB Output is correct
110 Correct 220 ms 38836 KB Output is correct
111 Correct 224 ms 34116 KB Output is correct