Submission #723234

# Submission time Handle Problem Language Result Execution time Memory
723234 2023-04-13T11:42:04 Z gagik_2007 Village (BOI20_village) C++17
56 / 100
239 ms 156652 KB
#include <iostream>
#include <algorithm>
#include <string>
#include <vector>
#include <cmath>
#include <chrono>
#include <ctime>
#include <set>
#include <map>
#include <stack>
#include <queue>
#include <deque>
#include <limits>
#include <iomanip>
#include <unordered_set>
#include <unordered_map>
#include <fstream>
#include <functional>
#include <random>
#include <cassert>
using namespace std;

typedef long long ll;
typedef long double ld;

#define ff first
#define ss second

ll ttt;
const ll INF = 1e18;
const ll MOD = 1e9 + 7;
const ll N = 200007;
const ll M = 307;
const ll LG = 31;
ll n, m, k;
vector<ll>g[N];
vector<ll>res_mn, res_mx;
ll ans_mn = 0, ans_mx = 0;
bool used[N];
ll sz[N];
stack<ll>st[N];
bool useds[N];

bool comp(ll x, ll y) {
	return st[x].size() < st[y].size();
}

multiset<ll, decltype(&comp)> s(&comp);

void dfs(ll v, ll par = -1) {
	for (ll to : g[v]) {
		if (to != par) {
			dfs(to, v);
		}
	}
	vector<ll>leaves;
	for (ll to : g[v]) {
		if (to != par) {
			if (!used[to]) {
				leaves.push_back(to);
			}
		}
	}
	if (leaves.size() != 0) {
		ans_mn += leaves.size() * 2;
		res_mn[v] = leaves[0];
		for (ll i = 0; i < leaves.size() - 1; i++) {
			res_mn[leaves[i]] = leaves[i + 1];
		}
		res_mn[leaves[leaves.size() - 1]] = v;
		for (ll to : leaves) {
			used[to] = true;
		}
		used[v] = true;
	}
}

void calc_sz(ll v, ll par = -1) {
	sz[v] = 1;
	for (ll to : g[v]) {
		if (to != par) {
			calc_sz(to, v);
			sz[v] += sz[to];
		}
	}
	if (par != -1) {
		ans_mx += 2 * min(ll(sz[v]), n - sz[v]);
	}
}

ll centroid(ll v, ll par = -1) {
	for (ll to : g[v]) {
		if (to != par) {
			if (sz[to] > n / 2) {
				return centroid(to, v);
			}
		}
	}
	return v;
}

void inch_tenum_es_qci_stacki_mej(ll v, ll par, ll cur) {
	if (!useds[v])st[cur].push(v);
	for (ll to : g[v]) {
		if (to != par) {
			inch_tenum_es_qci_stacki_mej(to, v, cur);
		}
	}
}

int main() {
	//freopen("in.txt", "r", stdin);
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	cout.tie(0);
	cin >> n;
	ll leaf = 0;
	for (ll i = 0; i < n - 1; i++) {
		ll x, y;
		cin >> x >> y;
		g[x].push_back(y);
		g[y].push_back(x);
	}
	for (ll v = 1; v <= n; v++) {
		if (g[v].size() == 1) {
			leaf = v;
			break;
		}
	}
	ll root = g[leaf][0];
	res_mn.resize(n + 1, 0);
	res_mx.resize(n + 1, 0);
	dfs(root);
	calc_sz(1);
	ll c = centroid(1);
	if (n % 2 != 0) {
		ll cur_stack = 0;
		for (ll to : g[c]) {
			inch_tenum_es_qci_stacki_mej(to, c, cur_stack++);
		}
		ll maxim = 0;
		for (ll i = 0; i < cur_stack; i++) {
			if (comp(maxim, i)) {
				maxim = i;
			}
			//cout << i << ": " << st[i].size() << endl;
		}
		ll v1 = st[maxim].top();
		st[maxim].pop();
		ll smaxim = 0;
		for (ll i = 0; i < cur_stack; i++) {
			if (comp(smaxim, i) && i != maxim) {
				smaxim = i;
			}
			//cout << i << ": " << st[i].size() << endl;
		}
		ll v2 = st[smaxim].top();
		st[smaxim].pop();
		res_mx[c] = v1;
		res_mx[v1] = v2;
		res_mx[v2] = c;
		useds[c] = useds[v2] = useds[v1] = true;
		for (ll i = 0; i < cur_stack; i++) {
			while (!st[i].empty()) {
				st[i].pop();
			}
		}
	}
	ll cur_stack = 0;
	for (ll to : g[c]) {
		inch_tenum_es_qci_stacki_mej(to, c, cur_stack++);
	}
	ll minim = cur_stack;
	if (!useds[c]) {
		st[minim].push(c);
		cur_stack++;
	}
	for (ll i = 0; i < cur_stack; i++) {
		if(st[i].size()!=0)s.insert(i);
	}
	while (!s.empty()) {
		//cout << s.size() << endl;
		ll bg = *s.rbegin();
		s.erase(--s.end());
		ll sbg = *s.rbegin();
		s.erase(--s.end());
		ll v1 = st[bg].top();
		ll v2 = st[sbg].top();
		res_mx[v1] = v2;
		res_mx[v2] = v1;
		st[bg].pop();
		st[sbg].pop();
		if (st[bg].size() != 0) {
			s.insert(bg);
		}
		if (st[sbg].size() != 0) {
			s.insert(sbg);
		}
		//cout << bg << " " << sbg << endl;
	}
	cout << ans_mn << " " << ans_mx << endl;
	for (ll v = 1; v <= n; v++) {
		cout << res_mn[v] << " ";
	}
	cout << endl;
	for (ll v = 1; v <= n; v++) {
		cout << res_mx[v] << " ";
	}
	cout << endl;
}

/// ---- - --------  ------ -------- -- - - -
/// Just a reminder. Ubuntu password is I O I
/// ---- - --------  ------ -------- -- - - -

Compilation message

Village.cpp: In function 'void dfs(ll, ll)':
Village.cpp:67:20: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   67 |   for (ll i = 0; i < leaves.size() - 1; i++) {
      |                  ~~^~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 81 ms 139592 KB Output is correct
2 Correct 81 ms 139600 KB Output is correct
3 Correct 80 ms 139532 KB Output is correct
4 Correct 86 ms 139556 KB Output is correct
5 Correct 81 ms 139600 KB Output is correct
6 Correct 79 ms 139536 KB Output is correct
7 Correct 81 ms 139628 KB Output is correct
8 Correct 83 ms 139596 KB Output is correct
9 Correct 80 ms 139584 KB Output is correct
10 Correct 81 ms 139556 KB Output is correct
11 Correct 81 ms 139724 KB Output is correct
12 Correct 82 ms 139548 KB Output is correct
13 Correct 97 ms 139600 KB Output is correct
14 Correct 84 ms 139616 KB Output is correct
15 Correct 79 ms 139540 KB Output is correct
16 Correct 83 ms 139556 KB Output is correct
17 Correct 79 ms 139640 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 82 ms 139644 KB Output is correct
2 Correct 81 ms 139632 KB Output is correct
3 Correct 80 ms 139680 KB Output is correct
4 Correct 84 ms 139692 KB Output is correct
5 Partially correct 88 ms 139692 KB Partially correct
6 Correct 92 ms 139612 KB Output is correct
7 Correct 80 ms 139720 KB Output is correct
8 Correct 80 ms 139676 KB Output is correct
9 Correct 80 ms 139660 KB Output is correct
10 Correct 89 ms 139736 KB Output is correct
11 Correct 84 ms 139660 KB Output is correct
12 Correct 82 ms 139716 KB Output is correct
13 Correct 81 ms 139640 KB Output is correct
14 Correct 81 ms 139664 KB Output is correct
15 Correct 80 ms 139724 KB Output is correct
16 Correct 79 ms 139724 KB Output is correct
17 Correct 91 ms 139720 KB Output is correct
18 Correct 79 ms 139688 KB Output is correct
19 Correct 80 ms 139704 KB Output is correct
20 Correct 81 ms 139728 KB Output is correct
21 Correct 79 ms 139732 KB Output is correct
22 Correct 81 ms 139664 KB Output is correct
23 Correct 80 ms 139648 KB Output is correct
24 Correct 83 ms 139596 KB Output is correct
25 Correct 82 ms 139664 KB Output is correct
26 Correct 82 ms 139716 KB Output is correct
27 Correct 82 ms 139688 KB Output is correct
28 Correct 85 ms 139648 KB Output is correct
29 Correct 86 ms 139656 KB Output is correct
30 Correct 84 ms 139704 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 81 ms 139592 KB Output is correct
2 Correct 81 ms 139600 KB Output is correct
3 Correct 80 ms 139532 KB Output is correct
4 Correct 86 ms 139556 KB Output is correct
5 Correct 81 ms 139600 KB Output is correct
6 Correct 79 ms 139536 KB Output is correct
7 Correct 81 ms 139628 KB Output is correct
8 Correct 83 ms 139596 KB Output is correct
9 Correct 80 ms 139584 KB Output is correct
10 Correct 81 ms 139556 KB Output is correct
11 Correct 81 ms 139724 KB Output is correct
12 Correct 82 ms 139548 KB Output is correct
13 Correct 97 ms 139600 KB Output is correct
14 Correct 84 ms 139616 KB Output is correct
15 Correct 79 ms 139540 KB Output is correct
16 Correct 83 ms 139556 KB Output is correct
17 Correct 79 ms 139640 KB Output is correct
18 Correct 82 ms 139644 KB Output is correct
19 Correct 81 ms 139632 KB Output is correct
20 Correct 80 ms 139680 KB Output is correct
21 Correct 84 ms 139692 KB Output is correct
22 Partially correct 88 ms 139692 KB Partially correct
23 Correct 92 ms 139612 KB Output is correct
24 Correct 80 ms 139720 KB Output is correct
25 Correct 80 ms 139676 KB Output is correct
26 Correct 80 ms 139660 KB Output is correct
27 Correct 89 ms 139736 KB Output is correct
28 Correct 84 ms 139660 KB Output is correct
29 Correct 82 ms 139716 KB Output is correct
30 Correct 81 ms 139640 KB Output is correct
31 Correct 81 ms 139664 KB Output is correct
32 Correct 80 ms 139724 KB Output is correct
33 Correct 79 ms 139724 KB Output is correct
34 Correct 91 ms 139720 KB Output is correct
35 Correct 79 ms 139688 KB Output is correct
36 Correct 80 ms 139704 KB Output is correct
37 Correct 81 ms 139728 KB Output is correct
38 Correct 79 ms 139732 KB Output is correct
39 Correct 81 ms 139664 KB Output is correct
40 Correct 80 ms 139648 KB Output is correct
41 Correct 83 ms 139596 KB Output is correct
42 Correct 82 ms 139664 KB Output is correct
43 Correct 82 ms 139716 KB Output is correct
44 Correct 82 ms 139688 KB Output is correct
45 Correct 85 ms 139648 KB Output is correct
46 Correct 86 ms 139656 KB Output is correct
47 Correct 84 ms 139704 KB Output is correct
48 Correct 151 ms 147260 KB Output is correct
49 Correct 239 ms 147916 KB Output is correct
50 Correct 190 ms 147916 KB Output is correct
51 Correct 144 ms 145996 KB Output is correct
52 Correct 196 ms 147828 KB Output is correct
53 Correct 154 ms 147004 KB Output is correct
54 Correct 135 ms 148152 KB Output is correct
55 Correct 198 ms 156652 KB Output is correct
56 Correct 212 ms 152012 KB Output is correct
57 Correct 181 ms 149796 KB Output is correct
58 Correct 168 ms 149180 KB Output is correct
59 Correct 170 ms 148160 KB Output is correct
60 Correct 175 ms 151976 KB Output is correct
61 Correct 189 ms 148808 KB Output is correct
62 Correct 159 ms 148188 KB Output is correct
63 Correct 183 ms 147744 KB Output is correct
64 Correct 157 ms 148316 KB Output is correct
65 Correct 201 ms 148344 KB Output is correct
66 Correct 164 ms 147880 KB Output is correct
67 Correct 156 ms 146368 KB Output is correct
68 Correct 163 ms 147072 KB Output is correct
69 Correct 162 ms 148500 KB Output is correct
70 Correct 154 ms 147796 KB Output is correct
71 Correct 138 ms 145684 KB Output is correct
72 Correct 141 ms 146628 KB Output is correct
73 Correct 173 ms 148468 KB Output is correct
74 Correct 148 ms 147592 KB Output is correct
75 Correct 173 ms 148392 KB Output is correct
76 Correct 147 ms 147676 KB Output is correct
77 Correct 153 ms 148180 KB Output is correct
78 Correct 129 ms 145280 KB Output is correct
79 Correct 135 ms 146124 KB Output is correct
80 Correct 170 ms 148316 KB Output is correct
81 Correct 157 ms 148256 KB Output is correct
82 Correct 149 ms 148000 KB Output is correct