oj.uz

Submission #932303

# Submission time Handle Problem Language Result Execution time Memory
932303 2024-02-23T07:47:40 Z amirhoseinfar1385 Village (BOI20_village) C++17
100 / 100
 57 ms 19512 KB 
#pragma GCC optimize("Ofast")

#include <bits/stdc++.h>

using namespace std;

#define ll long long
#define ld long double
#define pb push_back //emplace_back
#define pp pop_back
#define pii pair<ll, ll> //pair<int, int>
#define all(x) (x).begin(),(x).end()
#define mp(a,b) make_pair(a , b)
#define sz(x) (ll)(x).size()
#define F first
#define S second
#define For(x, n) for(int (x) = 0 ; (x) < (n) ; (x)++)
#define debug(x) cout << #x << " : " << x << endl << flush
#define endl '\n'
#define arr(x) array<ll , (x)>
#define yes cout << "YES\n"
#define no cout << "NO\n"
#define FAST ios_base::sync_with_stdio(0);cin.tie(0);

ll Sum(ll a , ll b , ll MOD)
{
 a %= MOD;
 b %= MOD;
 a += b;
 return a % MOD;
}

ll Mul(ll a , ll b , ll MOD)
{
 a %= MOD;
 b %= MOD;
 a *= b;
 return a % MOD;
}

ll Pow(ll a , ll b , ll MOD)
{
   ll res = 1;
   while(b)
   {
        if((b & 1))res = Mul(res , a , MOD);
     a = Mul(a , a , MOD);
     b >>= 1;
   }
   return res;
}

ll Min(ll a , ll b)
{
   if(a > b)return b;
   return a;
}

ll Max(ll a , ll b)
{
   if(a > b)return a;
   return b;
}

ll Ceil(ll a , ll b)
{
	return a + (b-1) / b;
}

/////////////////////
//VALS
ll n;
const ll maxn = 2e5;
vector<ll> adj[maxn];
ll mx[maxn];
ll mn[maxn];
ll mx_ans, mn_ans;
ll sz[maxn];
ll centroid;
vector<ll> e;
/////////////////////
//FUNCTIONS
void dfs_mx_ans(ll u = 0, ll par = 0)
{
	sz[u] = 1;
	for(auto v : adj[u])
	{
		if(v == par)continue;
		dfs_mx_ans(v, u);
		sz[u] += sz[v];
	}
	ll x = Min(sz[u], n-sz[u]);
	mx_ans += x*2;
}

void dfs_get_centroid(ll u = 0, ll par = 0)
{
	bool flag = (n - sz[u] <= (n >> 1));
	for(auto v : adj[u])
	{
		if(v == par)continue;
		
		dfs_get_centroid(v, u);
		if(sz[v] > (n >> 1))flag = 0;
	}
	if(flag)centroid = u;
}

void dfs_get_euler(ll u = centroid, ll par = centroid)
{
	e.pb(u);
	for(auto v : adj[u])
	{
		if(v == par)continue;
		dfs_get_euler(v, u);		
	}
}

void dfs_mn(ll u = 0, ll par = 0)
{
	for(auto v : adj[u])
	{
		if(v == par)continue;
		dfs_mn(v, u);
	}
	
	if(mn[u] == u and u != 0)//swap with par
	{
		mn_ans += 2;
//		ll tmp = mn[u];
//		mn[u] = mn[par];
//		mn[par] = tmp;
		swap(mn[u], mn[par]);
	}
	
	if(mn[u] == u and u == 0)
	{
		mn_ans += 2;
//		ll tmp = mn[u];
//		mn[u] = mn[adj[u][0]];
//		mn[adj[u][0]] = tmp;
		swap(mn[u], mn[adj[u][0]]);
	}
}
/////////////////////
//SOLVE
void solve()
{
	cin >> n;
	
	For(i,n-1)
	{
		ll u, v;
		cin >> u >> v;
		u--;v--;
		
		adj[u].pb(v);
		adj[v].pb(u);	
	}
	
//	if(n == 2)
//	{
//		cout << 2 << " " << 2 << endl;
//		cout << 2 << " " << 1 << endl;
//		cout << 2 << " " << 1 << endl;
//		return;
//	}
	
	//Max
	dfs_mx_ans();
//	debug(":L");
	dfs_get_centroid();
//	debug(":L");
	dfs_get_euler();
//	debug(":L");
	
	if(n & 1)
	{
		mx[e[0]] = e[n/2]+1;
		mx[e[n/2]] = e[n-1]+1;
		mx[e[n-1]] = e[0]+1;
	}
		
	For(i,(n+1) / 2)
	{
		if(mx[e[i]])continue;
		mx[e[i]] = e[i+n/2]+1;
		mx[e[i+n/2]] = e[i]+1;
	}
	
//	cout << mx_ans << endl;
//	For(i,n)cout << mx[i] + 1 << " ";
//	cout << endl;

	//Min
	For(i,n)
		mn[i] = i;
		
	dfs_mn();
	
	
	//print
	cout << mn_ans << " " << mx_ans << endl;
	For(i,n)cout << mn[i] + 1 << " ";
	cout << endl;
	For(i,n)cout << mx[i]/* + 1 */<< " ";
	cout << endl;
}
/////////////////////
//MAIN
int main()
{
    FAST;
    ll t = 1;
//    cin >> t;
    while(t--)
    {
        solve();
    }
}
/////////////////////
/*
ZZZZZZZ     A        M     M     IIIIIII  N     N
     Z     A A      M M   M M       I     NN    N
    Z     A   A    M   M M   M      I     N N   N
   Z     AAAAAAA  M     M     M     I     N  N  N
  Z      A     A  M           M     I     N   N N
 Z       A     A  M           M     I     N    NN
ZZZZZZZ  A     A  M           M  IIIIIII  N     N  TREE
*/

Compilation message

Village.cpp: In function 'void solve()':
Village.cpp:17:27: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
   17 | #define For(x, n) for(int (x) = 0 ; (x) < (n) ; (x)++)
      |                           ^
Village.cpp:151:2: note: in expansion of macro 'For'
  151 |  For(i,n-1)
      |  ^~~
Village.cpp:17:27: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
   17 | #define For(x, n) for(int (x) = 0 ; (x) < (n) ; (x)++)
      |                           ^
Village.cpp:184:2: note: in expansion of macro 'For'
  184 |  For(i,(n+1) / 2)
      |  ^~~
Village.cpp:17:27: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
   17 | #define For(x, n) for(int (x) = 0 ; (x) < (n) ; (x)++)
      |                           ^
Village.cpp:196:2: note: in expansion of macro 'For'
  196 |  For(i,n)
      |  ^~~
Village.cpp:17:27: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
   17 | #define For(x, n) for(int (x) = 0 ; (x) < (n) ; (x)++)
      |                           ^
Village.cpp:204:2: note: in expansion of macro 'For'
  204 |  For(i,n)cout << mn[i] + 1 << " ";
      |  ^~~
Village.cpp:17:27: warning: unnecessary parentheses in declaration of 'i' [-Wparentheses]
   17 | #define For(x, n) for(int (x) = 0 ; (x) < (n) ; (x)++)
      |                           ^
Village.cpp:206:2: note: in expansion of macro 'For'
  206 |  For(i,n)cout << mx[i]/* + 1 */<< " ";
      |  ^~~

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 7512 KB Output is correct
2 Correct 2 ms 9560 KB Output is correct
3 Correct 2 ms 7516 KB Output is correct
4 Correct 3 ms 9564 KB Output is correct
5 Correct 2 ms 9564 KB Output is correct
6 Correct 3 ms 9564 KB Output is correct
7 Correct 2 ms 9564 KB Output is correct
8 Correct 2 ms 7516 KB Output is correct
9 Correct 2 ms 9560 KB Output is correct
10 Correct 2 ms 7516 KB Output is correct
11 Correct 2 ms 7516 KB Output is correct
12 Correct 2 ms 7628 KB Output is correct
13 Correct 2 ms 7516 KB Output is correct
14 Correct 3 ms 7520 KB Output is correct
15 Correct 2 ms 7516 KB Output is correct
16 Correct 3 ms 7516 KB Output is correct
17 Correct 2 ms 7764 KB Output is correct

Subtask #2
38.0 / 38.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 7512 KB Output is correct
2 Correct 2 ms 7516 KB Output is correct
3 Correct 3 ms 9564 KB Output is correct
4 Correct 3 ms 7516 KB Output is correct
5 Correct 3 ms 9564 KB Output is correct
6 Correct 3 ms 9564 KB Output is correct
7 Correct 3 ms 7516 KB Output is correct
8 Correct 3 ms 9564 KB Output is correct
9 Correct 3 ms 9564 KB Output is correct
10 Correct 2 ms 7688 KB Output is correct
11 Correct 2 ms 7512 KB Output is correct
12 Correct 2 ms 7768 KB Output is correct
13 Correct 2 ms 9564 KB Output is correct
14 Correct 3 ms 7516 KB Output is correct
15 Correct 3 ms 7628 KB Output is correct
16 Correct 3 ms 7512 KB Output is correct
17 Correct 3 ms 9564 KB Output is correct
18 Correct 3 ms 9564 KB Output is correct
19 Correct 2 ms 7768 KB Output is correct
20 Correct 3 ms 7512 KB Output is correct
21 Correct 3 ms 7516 KB Output is correct
22 Correct 3 ms 9564 KB Output is correct
23 Correct 3 ms 7512 KB Output is correct
24 Correct 2 ms 7516 KB Output is correct
25 Correct 2 ms 7516 KB Output is correct
26 Correct 3 ms 7516 KB Output is correct
27 Correct 3 ms 9564 KB Output is correct
28 Correct 3 ms 7516 KB Output is correct
29 Correct 3 ms 9572 KB Output is correct
30 Correct 2 ms 7516 KB Output is correct

Subtask #3
50.0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 7512 KB Output is correct
2 Correct 2 ms 9560 KB Output is correct
3 Correct 2 ms 7516 KB Output is correct
4 Correct 3 ms 9564 KB Output is correct
5 Correct 2 ms 9564 KB Output is correct
6 Correct 3 ms 9564 KB Output is correct
7 Correct 2 ms 9564 KB Output is correct
8 Correct 2 ms 7516 KB Output is correct
9 Correct 2 ms 9560 KB Output is correct
10 Correct 2 ms 7516 KB Output is correct
11 Correct 2 ms 7516 KB Output is correct
12 Correct 2 ms 7628 KB Output is correct
13 Correct 2 ms 7516 KB Output is correct
14 Correct 3 ms 7520 KB Output is correct
15 Correct 2 ms 7516 KB Output is correct
16 Correct 3 ms 7516 KB Output is correct
17 Correct 2 ms 7764 KB Output is correct
18 Correct 2 ms 7512 KB Output is correct
19 Correct 2 ms 7516 KB Output is correct
20 Correct 3 ms 9564 KB Output is correct
21 Correct 3 ms 7516 KB Output is correct
22 Correct 3 ms 9564 KB Output is correct
23 Correct 3 ms 9564 KB Output is correct
24 Correct 3 ms 7516 KB Output is correct
25 Correct 3 ms 9564 KB Output is correct
26 Correct 3 ms 9564 KB Output is correct
27 Correct 2 ms 7688 KB Output is correct
28 Correct 2 ms 7512 KB Output is correct
29 Correct 2 ms 7768 KB Output is correct
30 Correct 2 ms 9564 KB Output is correct
31 Correct 3 ms 7516 KB Output is correct
32 Correct 3 ms 7628 KB Output is correct
33 Correct 3 ms 7512 KB Output is correct
34 Correct 3 ms 9564 KB Output is correct
35 Correct 3 ms 9564 KB Output is correct
36 Correct 2 ms 7768 KB Output is correct
37 Correct 3 ms 7512 KB Output is correct
38 Correct 3 ms 7516 KB Output is correct
39 Correct 3 ms 9564 KB Output is correct
40 Correct 3 ms 7512 KB Output is correct
41 Correct 2 ms 7516 KB Output is correct
42 Correct 2 ms 7516 KB Output is correct
43 Correct 3 ms 7516 KB Output is correct
44 Correct 3 ms 9564 KB Output is correct
45 Correct 3 ms 7516 KB Output is correct
46 Correct 3 ms 9572 KB Output is correct
47 Correct 2 ms 7516 KB Output is correct
48 Correct 42 ms 16232 KB Output is correct
49 Correct 57 ms 16840 KB Output is correct
50 Correct 49 ms 15564 KB Output is correct
51 Correct 37 ms 15240 KB Output is correct
52 Correct 47 ms 16600 KB Output is correct
53 Correct 45 ms 14792 KB Output is correct
54 Correct 28 ms 13472 KB Output is correct
55 Correct 54 ms 19512 KB Output is correct
56 Correct 52 ms 17816 KB Output is correct
57 Correct 56 ms 18068 KB Output is correct
58 Correct 54 ms 16340 KB Output is correct
59 Correct 46 ms 15820 KB Output is correct
60 Correct 38 ms 15688 KB Output is correct
61 Correct 36 ms 15808 KB Output is correct
62 Correct 41 ms 16068 KB Output is correct
63 Correct 40 ms 16588 KB Output is correct
64 Correct 43 ms 16072 KB Output is correct
65 Correct 37 ms 16072 KB Output is correct
66 Correct 36 ms 16588 KB Output is correct
67 Correct 28 ms 13776 KB Output is correct
68 Correct 33 ms 16012 KB Output is correct
69 Correct 38 ms 16072 KB Output is correct
70 Correct 35 ms 15548 KB Output is correct
71 Correct 26 ms 13512 KB Output is correct
72 Correct 37 ms 15820 KB Output is correct
73 Correct 55 ms 17356 KB Output is correct
74 Correct 37 ms 16584 KB Output is correct
75 Correct 48 ms 16076 KB Output is correct
76 Correct 48 ms 15392 KB Output is correct
77 Correct 42 ms 15856 KB Output is correct
78 Correct 31 ms 13000 KB Output is correct
79 Correct 32 ms 15304 KB Output is correct
80 Correct 51 ms 17104 KB Output is correct
81 Correct 47 ms 16080 KB Output is correct
82 Correct 45 ms 16824 KB Output is correct