oj.uz

Submission #536337

# Submission time Handle Problem Language Result Execution time Memory
536337 2022-03-13T01:39:29 Z skittles1412 Village (BOI20_village) C++17
100 / 100
 296 ms 40400 KB 
#include "bits/extc++.h"

using namespace std;

template <typename T>
void dbgh(const T& t) {
	cerr << t << endl;
}

template <typename T, typename... U>
void dbgh(const T& t, const U&... u) {
	cerr << t << " | ";
	dbgh(u...);
}

#ifdef DEBUG
#define dbg(...)                                           \
	cerr << "L" << __LINE__ << " [" << #__VA_ARGS__ << "]" \
		 << ": ";                                          \
	dbgh(__VA_ARGS__)
#else
#define cerr   \
	if (false) \
	cerr
#define dbg(...)
#endif

#define endl "\n"
#define long int64_t
#define sz(x) int((x).size())

const int maxn = 1e5 + 5;

vector<int> graph[maxn];

void pdfs(int u) {
	for (auto& v : graph[u]) {
		graph[v].erase(find(begin(graph[v]), end(graph[v]), u));
		pdfs(v);
	}
}

namespace minv {

int memo[maxn][2];
vector<int> res, choice[maxn][2];

int dp(int u, bool b) {
	int& ans = memo[u][b];
	if (ans != -1) {
		return ans;
	}
	int m = sz(graph[u]);
	int cdp[m + 1][2], from[m + 1][2];
	memset(cdp, 0x3f, sizeof(cdp));
	cdp[0][0] = 0;
	for (int k = 0; k < m; k++) {
		int v = graph[u][k];
		for (int i = 0; i < 2; i++) {
			for (int j = 0; j < 2; j++) {
				int cv = cdp[k][i] + dp(v, j) + (j ? 2 : 0);
				if (cv < cdp[k + 1][i || j]) {
					cdp[k + 1][i || j] = cv;
					from[k + 1][i || j] = (i << 1) | j;
				}
			}
		}
	}
	int j = 1;
	if (b) {
		if (cdp[m][0] < cdp[m][1]) {
			j = 0;
		}
	}
	ans = cdp[m][j];
	auto& c = choice[u][b];
	for (int i = m; i >= 1; i--) {
		int ci = from[i][j] >> 1, cj = from[i][j] & 1;
		c.push_back(cj);
		j = ci;
	}
	reverse(begin(c), end(c));
	return ans;
}

void cdp(int u, bool b) {
	int m = sz(graph[u]);
	for (int i = 0; i < m; i++) {
		int v = graph[u][i];
		if (choice[u][b][i]) {
			swap(res[u], res[v]);
			cdp(v, true);
		} else {
			cdp(v, false);
		}
	}
}

pair<int, vector<int>> solve(int n) {
	memset(memo, -1, sizeof(memo));
	dp(0, false);
	res = vector<int>(n);
	iota(begin(res), end(res), 0);
	cdp(0, false);
	return {dp(0, false), res};
}

}  // namespace minv

namespace maxv {

long ans = 0;
int n, siz[maxn];
bool cans, vis[maxn];
vector<int> res, comp;

void dfs1(int u, int p = -1) {
	if (vis[u]) {
		siz[u] = 0;
		return;
	}
	siz[u] = 1;
	for (auto& v : graph[u]) {
		if (v != p) {
			dfs1(v, u);
			siz[u] += siz[v];
			if (cans) {
				ans += min(siz[v], n - siz[v]);
			}
		}
	}
}

void dfs2(int u) {
	if (vis[u]) {
		return;
	}
	vis[u] = true;
	comp.push_back(u);
	for (auto& v : graph[u]) {
		dfs2(v);
	}
}

int centroid(int u) {
	while (true) {
		pair<int, int> opt {0, 0};
		for (auto& v : graph[u]) {
			opt = max(opt, pair<int, int> {siz[v], v});
		}
		if (opt.first > n / 2) {
			int v = opt.second;
			siz[u] -= siz[v];
			siz[v] += siz[u];
			u = v;
		} else {
			break;
		}
	}
	return u;
}

pair<long, vector<int>> solve(int _n) {
	n = _n;
	res = vector<int>(n);
	cans = true;
	dfs1(0);
	cans = false;
	int c = centroid(0);
	dbg(c);
	vector<vector<int>> groups;
	groups.push_back({c});
	vis[c] = true;
	for (auto& v : graph[c]) {
		comp.clear();
		dfs2(v);
		groups.push_back(comp);
	}
	sort(begin(groups), end(groups), [&](const auto &a, const auto &b) -> bool {
		return sz(a) > sz(b);
	});
	int m = sz(groups);
	vector<int> ngroups[m];
	for (int i = 0; i < m; i++) {
		dbg(sz(groups[i]));
		int j = i + 1;
		if (j == m) {
			j = 0;
		}
		for (auto& a : groups[i]) {
			while (sz(ngroups[j]) == sz(groups[j])) {
				j++;
				if (j == m) {
					j = 0;
				}
			}
			assert(i != j);
			ngroups[j].push_back(a);
		}
	}
	for (int i = 0; i < m; i++) {
		for (int j = 0; j < sz(groups[i]); j++) {
			res[groups[i][j]] = ngroups[i][j];
		}
	}
	return {ans * 2, res};
}

}  // namespace maxv

void solve() {
	int n;
	cin >> n;
	for (int i = 0; i < n - 1; i++) {
		int u, v;
		cin >> u >> v;
		u--;
		v--;
		graph[u].push_back(v);
		graph[v].push_back(u);
	}
	auto [mx, mxa] = maxv::solve(n);
	pdfs(0);
	auto [mn, mna] = minv::solve(n);
	cout << mn << " " << mx << endl;
	for (int i = 0; i < n; i++) {
		cout << mna[i] + 1 << " \n"[i == n - 1];
	}
	for (int i = 0; i < n; i++) {
		cout << mxa[i] + 1 << " \n"[i == n - 1];
	}
}

int main() {
	cin.tie(nullptr);
	ios_base::sync_with_stdio(false);
	cin.exceptions(ios::failbit);
	solve();
}

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 8148 KB Output is correct
2 Correct 5 ms 8148 KB Output is correct
3 Correct 4 ms 8148 KB Output is correct
4 Correct 4 ms 8148 KB Output is correct
5 Correct 4 ms 8100 KB Output is correct
6 Correct 4 ms 8148 KB Output is correct
7 Correct 6 ms 8148 KB Output is correct
8 Correct 4 ms 8148 KB Output is correct
9 Correct 4 ms 8148 KB Output is correct
10 Correct 4 ms 8148 KB Output is correct
11 Correct 4 ms 8148 KB Output is correct
12 Correct 4 ms 8148 KB Output is correct
13 Correct 4 ms 8148 KB Output is correct
14 Correct 5 ms 8148 KB Output is correct
15 Correct 5 ms 8148 KB Output is correct
16 Correct 4 ms 8096 KB Output is correct
17 Correct 4 ms 8148 KB Output is correct

Subtask #2
38.0 / 38.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 8148 KB Output is correct
2 Correct 5 ms 8148 KB Output is correct
3 Correct 4 ms 8148 KB Output is correct
4 Correct 5 ms 8156 KB Output is correct
5 Correct 5 ms 8152 KB Output is correct
6 Correct 6 ms 8156 KB Output is correct
7 Correct 6 ms 8408 KB Output is correct
8 Correct 6 ms 8284 KB Output is correct
9 Correct 5 ms 8276 KB Output is correct
10 Correct 6 ms 8284 KB Output is correct
11 Correct 5 ms 8276 KB Output is correct
12 Correct 5 ms 8276 KB Output is correct
13 Correct 6 ms 8276 KB Output is correct
14 Correct 5 ms 8148 KB Output is correct
15 Correct 5 ms 8148 KB Output is correct
16 Correct 5 ms 8156 KB Output is correct
17 Correct 5 ms 8148 KB Output is correct
18 Correct 6 ms 8172 KB Output is correct
19 Correct 5 ms 8152 KB Output is correct
20 Correct 5 ms 8148 KB Output is correct
21 Correct 5 ms 8236 KB Output is correct
22 Correct 5 ms 8232 KB Output is correct
23 Correct 5 ms 8148 KB Output is correct
24 Correct 5 ms 8148 KB Output is correct
25 Correct 5 ms 8148 KB Output is correct
26 Correct 6 ms 8148 KB Output is correct
27 Correct 5 ms 8148 KB Output is correct
28 Correct 5 ms 8148 KB Output is correct
29 Correct 5 ms 8136 KB Output is correct
30 Correct 5 ms 8148 KB Output is correct

Subtask #3
50.0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 8148 KB Output is correct
2 Correct 5 ms 8148 KB Output is correct
3 Correct 4 ms 8148 KB Output is correct
4 Correct 4 ms 8148 KB Output is correct
5 Correct 4 ms 8100 KB Output is correct
6 Correct 4 ms 8148 KB Output is correct
7 Correct 6 ms 8148 KB Output is correct
8 Correct 4 ms 8148 KB Output is correct
9 Correct 4 ms 8148 KB Output is correct
10 Correct 4 ms 8148 KB Output is correct
11 Correct 4 ms 8148 KB Output is correct
12 Correct 4 ms 8148 KB Output is correct
13 Correct 4 ms 8148 KB Output is correct
14 Correct 5 ms 8148 KB Output is correct
15 Correct 5 ms 8148 KB Output is correct
16 Correct 4 ms 8096 KB Output is correct
17 Correct 4 ms 8148 KB Output is correct
18 Correct 4 ms 8148 KB Output is correct
19 Correct 5 ms 8148 KB Output is correct
20 Correct 4 ms 8148 KB Output is correct
21 Correct 5 ms 8156 KB Output is correct
22 Correct 5 ms 8152 KB Output is correct
23 Correct 6 ms 8156 KB Output is correct
24 Correct 6 ms 8408 KB Output is correct
25 Correct 6 ms 8284 KB Output is correct
26 Correct 5 ms 8276 KB Output is correct
27 Correct 6 ms 8284 KB Output is correct
28 Correct 5 ms 8276 KB Output is correct
29 Correct 5 ms 8276 KB Output is correct
30 Correct 6 ms 8276 KB Output is correct
31 Correct 5 ms 8148 KB Output is correct
32 Correct 5 ms 8148 KB Output is correct
33 Correct 5 ms 8156 KB Output is correct
34 Correct 5 ms 8148 KB Output is correct
35 Correct 6 ms 8172 KB Output is correct
36 Correct 5 ms 8152 KB Output is correct
37 Correct 5 ms 8148 KB Output is correct
38 Correct 5 ms 8236 KB Output is correct
39 Correct 5 ms 8232 KB Output is correct
40 Correct 5 ms 8148 KB Output is correct
41 Correct 5 ms 8148 KB Output is correct
42 Correct 5 ms 8148 KB Output is correct
43 Correct 6 ms 8148 KB Output is correct
44 Correct 5 ms 8148 KB Output is correct
45 Correct 5 ms 8148 KB Output is correct
46 Correct 5 ms 8136 KB Output is correct
47 Correct 5 ms 8148 KB Output is correct
48 Correct 96 ms 17940 KB Output is correct
49 Correct 117 ms 18916 KB Output is correct
50 Correct 106 ms 18980 KB Output is correct
51 Correct 88 ms 16580 KB Output is correct
52 Correct 106 ms 18792 KB Output is correct
53 Correct 96 ms 17828 KB Output is correct
54 Correct 66 ms 23476 KB Output is correct
55 Correct 208 ms 40400 KB Output is correct
56 Correct 152 ms 29632 KB Output is correct
57 Correct 131 ms 26308 KB Output is correct
58 Correct 127 ms 23352 KB Output is correct
59 Correct 111 ms 19112 KB Output is correct
60 Correct 95 ms 24152 KB Output is correct
61 Correct 296 ms 18536 KB Output is correct
62 Correct 77 ms 17488 KB Output is correct
63 Correct 74 ms 16996 KB Output is correct
64 Correct 85 ms 17560 KB Output is correct
65 Correct 85 ms 17620 KB Output is correct
66 Correct 76 ms 17128 KB Output is correct
67 Correct 144 ms 15700 KB Output is correct
68 Correct 71 ms 16108 KB Output is correct
69 Correct 78 ms 17552 KB Output is correct
70 Correct 78 ms 16996 KB Output is correct
71 Correct 51 ms 14600 KB Output is correct
72 Correct 56 ms 15532 KB Output is correct
73 Correct 97 ms 17616 KB Output is correct
74 Correct 66 ms 16688 KB Output is correct
75 Correct 107 ms 18908 KB Output is correct
76 Correct 104 ms 17812 KB Output is correct
77 Correct 80 ms 17572 KB Output is correct
78 Correct 62 ms 14376 KB Output is correct
79 Correct 71 ms 15188 KB Output is correct
80 Correct 122 ms 18844 KB Output is correct
81 Correct 80 ms 17540 KB Output is correct
82 Correct 74 ms 16932 KB Output is correct