Submission #1025205

#	Time	Username	Problem	Language	Result	Execution time	Memory
1025205		Amirreza_Fakhri	LOSTIKS (INOI20_lostiks)	C++17	36 / 100	609 ms	215124 KiB

Main

// In the name of the God
#include <bits/stdc++.h>
#define ll long long
#define int long long
#define pb push_back
#define F first
#define S second
#define mp make_pair
#define pii pair <int, int>
#define smin(x, y) (x) = min((x), (y))
#define smax(x, y) (x) = max((x), (y))
#define all(x) (x).begin(), (x).end()
using namespace std;

//#pragma GCC optimize("O3,unroll-loops")
//#pragma GCC target("avx2")

const int inf = 1e9+7;
const int mod = 998244353;
const int maxn = 1e6+5, lg = 20;

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

int n, m, s, t, ti = 0, h[maxn], in[maxn], out[maxn], par[maxn][lg], dist[lg][lg], ne[lg][lg], dp[1<<lg][lg];
vector <int> adj[maxn];
vector <pair <pii, int>> g;

void dfs(int v, int p) {
	par[v][0] = p;
	for (int i = 1; i < lg; i++) par[v][i] = par[par[v][i-1]][i-1];
	in[v] = ti++;
	for (int u : adj[v]) {
		if (u == p) continue;
		h[u] = h[v]+1;
		dfs(u, v);
	}
	out[v] = ti;
}

int lca(int v, int u) {
	if (h[v] < h[u]) swap(v, u);
	int x = h[v]-h[u];
	for (int i = 0; i < lg; i++) {
		if (x&(1<<i)) v = par[v][i];
	}
	if (v == u) return v;
	for (int i = lg-1; i >= 0; i--) {
		if (par[v][i] != par[u][i]) v = par[v][i], u = par[u][i];
	}
	return par[v][0];
}

int d(int v, int u) {
	int z = lca(u, v);
	return h[v]+h[u]-h[z]*2;
}

bool isd(int v, int u) {
	return in[v] <= in[u] and out[v] >= out[u];
}

int f(int v, int u) {
	int res = 0, z = lca(u, v);
	for (int i = 0; i < m; i++) {
		int x = g[i].F.F, y = g[i].F.S;
		bool f = 0;
		f = (isd(y, v)&isd(z, x))|(isd(y, u)&isd(z, x));
		if (f) res += 1<<i;
	}
	return res;
}

int32_t main() {
    ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
    cin >> n >> s >> t; s--, t--;
    for (int i = 1; i < n; i++) {
    	int v, u, w; cin >> v >> u >> w; v--, u--, w--;
    	adj[v].pb(u), adj[u].pb(v);
    	if (w != -1) g.pb(mp(mp(v, u), w));
	}
	m = g.size();
	dfs(s, s);
	for (auto &p : g) if (h[p.F.F] > h[p.F.S]) swap(p.F.F, p.F.S);
	for (int i = 0; i < m; i++) {
		for (int j = 0; j < m; j++) {
			dist[i][j] = d(g[i].F.F, g[j].S);
			ne[i][j] = f(g[i].F.F, g[j].S);
		}
	}
	memset(dp, 63, sizeof dp);
	for (int i = 0; i < m; i++) {
		if (f(s, g[i].S) == 0 and f(g[i].S	, g[i].F.F) == 0) dp[1<<i][i] = d(s, g[i].S)+d(g[i].S, g[i].F.F);
	}
	for (int i = 0; i < (1<<m); i++) {
		for (int j = 0; j < m; j++) {
			if (i&(1<<j)) {
				for (int k = 0; k < m; k++) {
					if (!(i&(1<<k))) {
						if ((ne[j][k]|i) == i and (ne[k][k]|i) == i) smin(dp[i+(1<<k)][k], dp[i][j]+dist[j][k]+dist[k][k]);
					}
				}
			}
		}
	}
	if (s == t) return cout << 0 << '\n', 0;
	int ali = 1, p = t;
	while (p != s) {
		for (int i = 0; i < m; i++) {
			if (g[i].F.S == p) {
				ali = i;
				goto TH;
			}
		}
		p = par[p][0];
	}
	TH:;
	if (ali == -1) return cout << d(s, t) << '\n', 0;
	int amir = d(g[ali].F.F, t), ans = inf*inf;
	for (int i = 0; i < (1<<m); i++) smin(ans, amir+dp[i][ali]);
	cout << ans << '\n';
    return 0;
}












/*
srand(time(0));
cout << (rand()%1900) + 1 << ' ' << (rand()%2)+5 << '\n';
*/

• Subtask 1: 0 / 23
• Subtask 2: 36 / 36
• Subtask 3: 0 / 41