Submission #624420

# Submission time Handle Problem Language Result Execution time Memory
624420 2022-08-08T08:50:27 Z iomoon191 Meetings 2 (JOI21_meetings2) C++17
100 / 100
630 ms 70408 KB
#include <bits/stdc++.h>
using ll = long long;
#define int ll
using namespace std;

#define sz(x) (int)(x).size()
#define foru(i, l, r) for(int i = l; i <= r; i++)
#define ford(i, l, r) for(int i = l; i >= r; i--)
#define fi first
#define se second
#define mod 998244353

#define db(x) cerr << __LINE__ << " " << #x << " " << x << "\n"
using vi = vector<int>;
using pi = pair<int, int>;

const ll N = 200005;
const ll inf = 1e18;

int n, dep[N], par[25][N], sz[N],mz[N], res[N];
vi adj[N], v[N];

void dfs(int u, int p){
	sz[u] = 1;
	mz[u] = 0;
	for(auto &i : adj[u]){
		if(i == p) continue;
		par[0][i] = u;
		dep[i] = dep[u] + 1;
		dfs(i, u);
		sz[u] += sz[i];
		mz[u] = max(mz[u], sz[i]);
	}
}

int center(){
	dfs(1, 0);
	pi res(inf, -inf);
	foru(i, 1, n){
		int ryz = max(n - sz[i], mz[i]);
		res = min(res, pi(ryz, i));
	}
	return res.se;
}

int lca(int x, int y){
	if(dep[x] > dep[y]) swap(x, y);
	int dif = dep[y] - dep[x];
	for(int i = 0; dif; i++, dif >>= 1){
		if(dif & 1) y = par[i][y];
	}
	if(x == y) return x;
	ford(i, 16, 0){
		if(par[i][x] != par[i][y]){
			x = par[i][x];
			y = par[i][y];
		}
	}
	return par[0][x];
}

int dis(int x, int y){
	return dep[x] - dep[lca(x, y)] + dep[y] - dep[lca(x, y)];
}

void solve(){
	cin >> n;
	foru(i, 1, n - 1){
		int u, v;
		cin >> u >> v;
		adj[u].push_back(v);
		adj[v].push_back(u);
	}
	int cen = center();
	dfs(cen, -1);
	foru(i, 1, 20){
		foru(j, 1, n){
			par[i][j] = par[i - 1][par[i - 1][j]];
		}
	}
	foru(i, 1, n){
		if(i == cen) continue;
		v[sz[i]].push_back(i);
	}
	pi cur(cen, cen);
	ford(i, n >> 1, 0){
		for(auto &i : v[i]){
			int f = cur.fi;
			int s = cur.se;
			cur = max(cur, pi(f, i), [&](pi a, pi b){
				return dis(a.fi, a.se) < dis(b.fi, b.se);
			});
			cur = max(cur, pi(s, i), [&](pi a, pi b){
				return dis(a.fi, a.se) < dis(b.fi, b.se);
			});
		}
		res[i << 1] = dis(cur.fi, cur.se);
	}
	foru(i, 1, n) cout << res[i] + 1 << "\n";
}

signed main(){
	ios_base::sync_with_stdio(0); cin.tie(0);
	int t = 1; // cin >> t;
	while(t--){
		solve();
	}
}
# Verdict Execution time Memory Grader output
1 Correct 5 ms 9812 KB Output is correct
2 Correct 5 ms 9816 KB Output is correct
3 Correct 5 ms 9812 KB Output is correct
4 Correct 5 ms 9896 KB Output is correct
5 Correct 5 ms 9812 KB Output is correct
6 Correct 5 ms 9896 KB Output is correct
7 Correct 5 ms 9812 KB Output is correct
8 Correct 5 ms 9812 KB Output is correct
9 Correct 5 ms 9852 KB Output is correct
10 Correct 5 ms 9812 KB Output is correct
11 Correct 5 ms 9812 KB Output is correct
12 Correct 6 ms 9852 KB Output is correct
13 Correct 6 ms 9812 KB Output is correct
14 Correct 6 ms 9812 KB Output is correct
15 Correct 6 ms 9900 KB Output is correct
16 Correct 6 ms 9780 KB Output is correct
17 Correct 6 ms 9852 KB Output is correct
18 Correct 6 ms 9948 KB Output is correct
19 Correct 6 ms 9804 KB Output is correct
20 Correct 5 ms 9852 KB Output is correct
21 Correct 5 ms 9812 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 9812 KB Output is correct
2 Correct 5 ms 9816 KB Output is correct
3 Correct 5 ms 9812 KB Output is correct
4 Correct 5 ms 9896 KB Output is correct
5 Correct 5 ms 9812 KB Output is correct
6 Correct 5 ms 9896 KB Output is correct
7 Correct 5 ms 9812 KB Output is correct
8 Correct 5 ms 9812 KB Output is correct
9 Correct 5 ms 9852 KB Output is correct
10 Correct 5 ms 9812 KB Output is correct
11 Correct 5 ms 9812 KB Output is correct
12 Correct 6 ms 9852 KB Output is correct
13 Correct 6 ms 9812 KB Output is correct
14 Correct 6 ms 9812 KB Output is correct
15 Correct 6 ms 9900 KB Output is correct
16 Correct 6 ms 9780 KB Output is correct
17 Correct 6 ms 9852 KB Output is correct
18 Correct 6 ms 9948 KB Output is correct
19 Correct 6 ms 9804 KB Output is correct
20 Correct 5 ms 9852 KB Output is correct
21 Correct 5 ms 9812 KB Output is correct
22 Correct 9 ms 10888 KB Output is correct
23 Correct 8 ms 10888 KB Output is correct
24 Correct 11 ms 10888 KB Output is correct
25 Correct 9 ms 10836 KB Output is correct
26 Correct 11 ms 10836 KB Output is correct
27 Correct 9 ms 10836 KB Output is correct
28 Correct 10 ms 10836 KB Output is correct
29 Correct 9 ms 10908 KB Output is correct
30 Correct 9 ms 10836 KB Output is correct
31 Correct 9 ms 10888 KB Output is correct
32 Correct 9 ms 10936 KB Output is correct
33 Correct 8 ms 11092 KB Output is correct
34 Correct 8 ms 10836 KB Output is correct
35 Correct 8 ms 10884 KB Output is correct
36 Correct 9 ms 10936 KB Output is correct
37 Correct 8 ms 10888 KB Output is correct
38 Correct 8 ms 10964 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 9812 KB Output is correct
2 Correct 5 ms 9816 KB Output is correct
3 Correct 5 ms 9812 KB Output is correct
4 Correct 5 ms 9896 KB Output is correct
5 Correct 5 ms 9812 KB Output is correct
6 Correct 5 ms 9896 KB Output is correct
7 Correct 5 ms 9812 KB Output is correct
8 Correct 5 ms 9812 KB Output is correct
9 Correct 5 ms 9852 KB Output is correct
10 Correct 5 ms 9812 KB Output is correct
11 Correct 5 ms 9812 KB Output is correct
12 Correct 6 ms 9852 KB Output is correct
13 Correct 6 ms 9812 KB Output is correct
14 Correct 6 ms 9812 KB Output is correct
15 Correct 6 ms 9900 KB Output is correct
16 Correct 6 ms 9780 KB Output is correct
17 Correct 6 ms 9852 KB Output is correct
18 Correct 6 ms 9948 KB Output is correct
19 Correct 6 ms 9804 KB Output is correct
20 Correct 5 ms 9852 KB Output is correct
21 Correct 5 ms 9812 KB Output is correct
22 Correct 9 ms 10888 KB Output is correct
23 Correct 8 ms 10888 KB Output is correct
24 Correct 11 ms 10888 KB Output is correct
25 Correct 9 ms 10836 KB Output is correct
26 Correct 11 ms 10836 KB Output is correct
27 Correct 9 ms 10836 KB Output is correct
28 Correct 10 ms 10836 KB Output is correct
29 Correct 9 ms 10908 KB Output is correct
30 Correct 9 ms 10836 KB Output is correct
31 Correct 9 ms 10888 KB Output is correct
32 Correct 9 ms 10936 KB Output is correct
33 Correct 8 ms 11092 KB Output is correct
34 Correct 8 ms 10836 KB Output is correct
35 Correct 8 ms 10884 KB Output is correct
36 Correct 9 ms 10936 KB Output is correct
37 Correct 8 ms 10888 KB Output is correct
38 Correct 8 ms 10964 KB Output is correct
39 Correct 322 ms 60316 KB Output is correct
40 Correct 312 ms 59124 KB Output is correct
41 Correct 327 ms 60516 KB Output is correct
42 Correct 330 ms 61228 KB Output is correct
43 Correct 328 ms 61356 KB Output is correct
44 Correct 340 ms 61440 KB Output is correct
45 Correct 630 ms 67148 KB Output is correct
46 Correct 337 ms 70408 KB Output is correct
47 Correct 222 ms 61428 KB Output is correct
48 Correct 143 ms 61164 KB Output is correct
49 Correct 475 ms 61692 KB Output is correct
50 Correct 177 ms 61296 KB Output is correct
51 Correct 261 ms 69304 KB Output is correct