Submission #703224

# Submission time Handle Problem Language Result Execution time Memory
703224 2023-02-26T15:29:50 Z Chal1shkan Village (BOI20_village) C++14
100 / 100
192 ms 37696 KB
# include <bits/stdc++.h>
 
# define pb push_back
# define ff first
# define ss second
# define nl "\n"
# define sz(x) ((int)(x).size())
# define deb(x) cerr << #x  << " = " << x << endl; 
 
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
 
const ll maxn = 1e5 + 25;
const ll inf = 2e9 + 0;
const ll mod = 998244353;
const ll dx[] = {-1, 1, 0, 0};
const ll dy[] = {0, 0, -1, 1};
 
using namespace std;

ll n, sz[maxn];
vector <ll> g[maxn];
vector <ll> ord;
ll up[maxn][22];
ll tin[maxn];
ll tout[maxn];
ll d[maxn], timer;
ll mx_par[maxn];
ll mn_par[maxn];
ll cnt[maxn];

void dfs_calc (ll v, ll pa)
{
	sz[v] = 1;
	for (ll to : g[v])
	{
		if (to != pa)
		{
			dfs_calc(to, v);
			sz[v] += sz[to];
		}
	}
}

ll find_c (ll v, ll pa)
{
	for (ll to : g[v])
	{
		if (to != pa)
		{
			if (sz[to] + sz[to] > n)
			{
				return find_c(to, v);
			}
		}
	}
	return v;
}

void dfs_ord (ll v, ll pa)
{
	ord.pb(v);
	d[v] = d[pa] + 1;
	tin[v] = ++timer;
	up[v][0] = pa;
	for (ll j = 1; j <= 19; ++j)
	{
		up[v][j] = up[up[v][j - 1]][j - 1];
	}
	for (ll to : g[v])
	{
		if (to != pa)
		{
			dfs_ord(to, v);
		}
	}
	tout[v] = timer;
}

bool is_anc (ll u, ll v)
{
	return tin[u] <= tin[v] && tout[v] <= tout[u];
}

ll lca (ll u, ll v)
{
	if (is_anc(u, v)) return u;
	if (is_anc(v, u)) return v;
	for (ll j = 19; j >= 0; --j)
	{
		if (!is_anc(up[u][j], v))
		{
			u = up[u][j];
		}
	}
	return up[u][0];
}

void ma1n (/* SABR */)
{
	cin >> n;
	for (ll i = 1, u, v; i < n; ++i)
	{
		cin >> u >> v;
		g[u].pb(v);
		g[v].pb(u);
		cnt[u]++, cnt[v]++;
	}
	ll ans_mn = 0, ans_mx = 0;
	queue <int> q;
	for (ll i = 1; i <= n; ++i)
	{
		if (cnt[i] == 1)
		{
			q.push(i);
		}
		mn_par[i] = i;
	}
	while (!q.empty())
	{
		ll v = q.front();
		q.pop();
		if (mn_par[v] == v)
		{
			ll qwe = g[v][0];
			for (ll to : g[v])
			{
				if (cnt[to])
				{
					qwe = to;
					break;
				}
			}
			swap(mn_par[v], mn_par[qwe]);
			ans_mn += 2;
		}
		for (ll to : g[v])
		{
			if (cnt[to])
			{
				cnt[v]--, cnt[to]--;
				if (cnt[to] <= 1)
				{
					q.push(to);
				}
			}
		}
	}
	dfs_calc (1, 1);
	ll centroid = find_c(1, 1);
	dfs_ord(centroid, centroid);
	for (ll i = 0; i < sz(ord); ++i)
	{
		ll u = ord[i], v = ord[(i + (n / 2)) % n];
		ans_mx += d[u] + d[v] - d[lca(u, v)] * 2;
		mx_par[u] = v;
	}
	cout << ans_mn << ' ' << ans_mx << nl;
	for (ll i = 1; i <= n; ++i)
	{
		cout << mn_par[i] << ' ';
	}
	cout << nl;
	for (ll i = 1; i <= n; ++i)
	{
		cout << mx_par[i] << ' ';
	}
	cout << nl;
}	
 
int main()
{
    ios::sync_with_stdio(false);
    cin.tie(0); cout.tie(0);
//  freopen("input.in", "r", stdin);
//  freopen("output.out", "w", stdout);
    int ttt = 1;
//  cin >> ttt;
    for (int test = 1; test <= ttt; ++test)
    {
//      cout << "Case " << test << ":" << ' ';
        ma1n();
    }
    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2688 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 2 ms 2692 KB Output is correct
6 Correct 2 ms 2696 KB Output is correct
7 Correct 2 ms 2644 KB Output is correct
8 Correct 2 ms 2644 KB Output is correct
9 Correct 2 ms 2644 KB Output is correct
10 Correct 2 ms 2696 KB Output is correct
11 Correct 1 ms 2688 KB Output is correct
12 Correct 2 ms 2696 KB Output is correct
13 Correct 1 ms 2688 KB Output is correct
14 Correct 2 ms 2644 KB Output is correct
15 Correct 2 ms 2644 KB Output is correct
16 Correct 2 ms 2692 KB Output is correct
17 Correct 2 ms 2688 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2772 KB Output is correct
2 Correct 2 ms 2876 KB Output is correct
3 Correct 2 ms 2864 KB Output is correct
4 Correct 3 ms 2900 KB Output is correct
5 Correct 3 ms 2956 KB Output is correct
6 Correct 2 ms 2952 KB Output is correct
7 Correct 3 ms 2948 KB Output is correct
8 Correct 2 ms 2900 KB Output is correct
9 Correct 2 ms 2900 KB Output is correct
10 Correct 2 ms 3028 KB Output is correct
11 Correct 3 ms 3028 KB Output is correct
12 Correct 2 ms 3028 KB Output is correct
13 Correct 2 ms 2956 KB Output is correct
14 Correct 2 ms 2952 KB Output is correct
15 Correct 2 ms 2900 KB Output is correct
16 Correct 2 ms 3028 KB Output is correct
17 Correct 3 ms 3028 KB Output is correct
18 Correct 2 ms 2952 KB Output is correct
19 Correct 2 ms 2956 KB Output is correct
20 Correct 2 ms 3028 KB Output is correct
21 Correct 2 ms 3028 KB Output is correct
22 Correct 3 ms 3028 KB Output is correct
23 Correct 3 ms 2900 KB Output is correct
24 Correct 2 ms 2956 KB Output is correct
25 Correct 2 ms 2772 KB Output is correct
26 Correct 2 ms 3028 KB Output is correct
27 Correct 2 ms 2812 KB Output is correct
28 Correct 3 ms 3028 KB Output is correct
29 Correct 3 ms 3028 KB Output is correct
30 Correct 2 ms 2952 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 2688 KB Output is correct
2 Correct 2 ms 2644 KB Output is correct
3 Correct 2 ms 2644 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 2 ms 2692 KB Output is correct
6 Correct 2 ms 2696 KB Output is correct
7 Correct 2 ms 2644 KB Output is correct
8 Correct 2 ms 2644 KB Output is correct
9 Correct 2 ms 2644 KB Output is correct
10 Correct 2 ms 2696 KB Output is correct
11 Correct 1 ms 2688 KB Output is correct
12 Correct 2 ms 2696 KB Output is correct
13 Correct 1 ms 2688 KB Output is correct
14 Correct 2 ms 2644 KB Output is correct
15 Correct 2 ms 2644 KB Output is correct
16 Correct 2 ms 2692 KB Output is correct
17 Correct 2 ms 2688 KB Output is correct
18 Correct 2 ms 2772 KB Output is correct
19 Correct 2 ms 2876 KB Output is correct
20 Correct 2 ms 2864 KB Output is correct
21 Correct 3 ms 2900 KB Output is correct
22 Correct 3 ms 2956 KB Output is correct
23 Correct 2 ms 2952 KB Output is correct
24 Correct 3 ms 2948 KB Output is correct
25 Correct 2 ms 2900 KB Output is correct
26 Correct 2 ms 2900 KB Output is correct
27 Correct 2 ms 3028 KB Output is correct
28 Correct 3 ms 3028 KB Output is correct
29 Correct 2 ms 3028 KB Output is correct
30 Correct 2 ms 2956 KB Output is correct
31 Correct 2 ms 2952 KB Output is correct
32 Correct 2 ms 2900 KB Output is correct
33 Correct 2 ms 3028 KB Output is correct
34 Correct 3 ms 3028 KB Output is correct
35 Correct 2 ms 2952 KB Output is correct
36 Correct 2 ms 2956 KB Output is correct
37 Correct 2 ms 3028 KB Output is correct
38 Correct 2 ms 3028 KB Output is correct
39 Correct 3 ms 3028 KB Output is correct
40 Correct 3 ms 2900 KB Output is correct
41 Correct 2 ms 2956 KB Output is correct
42 Correct 2 ms 2772 KB Output is correct
43 Correct 2 ms 3028 KB Output is correct
44 Correct 2 ms 2812 KB Output is correct
45 Correct 3 ms 3028 KB Output is correct
46 Correct 3 ms 3028 KB Output is correct
47 Correct 2 ms 2952 KB Output is correct
48 Correct 122 ms 29712 KB Output is correct
49 Correct 125 ms 32444 KB Output is correct
50 Correct 141 ms 32408 KB Output is correct
51 Correct 112 ms 25788 KB Output is correct
52 Correct 127 ms 32240 KB Output is correct
53 Correct 126 ms 29132 KB Output is correct
54 Correct 97 ms 20004 KB Output is correct
55 Correct 192 ms 37696 KB Output is correct
56 Correct 190 ms 35328 KB Output is correct
57 Correct 181 ms 33996 KB Output is correct
58 Correct 175 ms 33444 KB Output is correct
59 Correct 134 ms 32612 KB Output is correct
60 Correct 119 ms 33420 KB Output is correct
61 Correct 111 ms 32808 KB Output is correct
62 Correct 105 ms 32856 KB Output is correct
63 Correct 106 ms 31024 KB Output is correct
64 Correct 110 ms 32940 KB Output is correct
65 Correct 105 ms 33092 KB Output is correct
66 Correct 112 ms 31072 KB Output is correct
67 Correct 75 ms 25024 KB Output is correct
68 Correct 89 ms 28516 KB Output is correct
69 Correct 105 ms 33240 KB Output is correct
70 Correct 102 ms 31300 KB Output is correct
71 Correct 72 ms 23888 KB Output is correct
72 Correct 79 ms 26688 KB Output is correct
73 Correct 110 ms 33216 KB Output is correct
74 Correct 100 ms 30596 KB Output is correct
75 Correct 130 ms 32912 KB Output is correct
76 Correct 116 ms 32472 KB Output is correct
77 Correct 116 ms 31580 KB Output is correct
78 Correct 72 ms 22716 KB Output is correct
79 Correct 91 ms 26104 KB Output is correct
80 Correct 125 ms 33028 KB Output is correct
81 Correct 105 ms 31684 KB Output is correct
82 Correct 101 ms 32592 KB Output is correct