#include <bits/stdc++.h>
#define fi first
#define se second
#define ll long long
#define pii pair<int, int>
#define pb push_back
#define taskname ""
const int mod = 1e9+7;
using namespace std;
mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
#define int ll
const int inf = 2e9;
const int lg = 20;
int dis1[49][49], dis2[49], depth[1000009], sum[1000009], door[29], f[29][1000009], trace[1000009], dp[23][(1 << 21) + 5];
vector<pii> g[1000009];
void dfs(int u, int p){
for(pii v : g[u]){
if(v.fi == p) continue;
f[0][v.fi] = u;
sum[v.fi] = sum[u];
if(v.se){
door[trace[v.se]] = u;
sum[v.fi] |= (1 << trace[v.se]);
}
depth[v.fi] = depth[u] + 1;
dfs(v.fi, u);
}
}
int lca(int u, int v){
if(depth[u] < depth[v]) swap(u, v);
for(int i = lg - 1; i >= 0; i--){
if(depth[u] - (1 << i) >= depth[v]){
u = f[i][u];
}
}
if(u == v) return u;
for(int i = lg - 1; i >= 0; i--){
if(f[i][u] != f[i][v]){
u = f[i][u];
v = f[i][v];
}
}
return f[0][u];
}
void solve(){
int n, s, t;
cin >> n >> s >> t;
vector<int> key;
key.pb(0);
int cnt = 0;
for(int i = 1; i < n; i++){
int u, v, w;
cin >> u >> v >> w;
int now = 0;
if(w != 0){
cnt++;
key.pb(w);
now = cnt;
}
g[u].pb({v, now});
g[v].pb({u, now});
}
int sz = cnt + 1;
for(int i = 0; i < sz; i++){
door[i] = -1;
}
key[0] = s;
door[0] = s;
f[0][s] = s;
dfs(s, s);
for(int k = 1; k < sz; k++){
if(door[k] == -1){
cout << -1;
return;
}
}
for(int i = 1; i < lg; i++){
for(int j = 1; j <= n; j++){
f[i][j] = f[i - 1][f[i - 1][j]];
}
}
for(int i = 0; i < sz; i++){
for(int j = 0; j < (1 << sz); j++){
dp[i][j] = inf;
}
}
for(int i = 0; i < sz; i++){
int u = key[i];
int v = door[i];
int w = lca(u, v);
dis2[i] = depth[u] + depth[v] - 2 * depth[w];
for(int j = 0; j < sz; j++){
int vv = key[j];
int ww = lca(v, vv);
dis1[i][j] = depth[v] + depth[vv] - 2 * depth[ww];
}
}
/*
for(int i = 0; i < sz; i++){
cout << key[i] << " " << door[i] << " " << dis2[i] << "\n";
}
*/
/*
for(int i = 0; i < sz; i++){
cout << key[i] << "\n";
}
*/
dp[0][1] = 0;
for(int mask = 1; mask < (1 << sz); mask++){
for(int i = 0; i < sz; i++){
for(int j = 1; j < sz; j++){
if(!((mask >> j) & 1)){
int u = key[j];
int v = door[j];
int path1 = sum[door[i]] ^ sum[u];
int path2 = sum[v] ^ sum[u];
if((mask & path1) == path1 && (mask & path2) == path2){
/*
if((mask | (1 << j)) == 5 && j == 2 && i == 0){
cout << dp[i][mask] << " " << dis1[i][j] << " " << dis2[j] << "\n";
}
*/
dp[j][mask | (1 << j)] = min(dp[j][mask | (1 << j)], dp[i][mask] + dis1[i][j] + dis2[j]);
}
}
}
}
}
//cout << dp[2][5];
int ans = inf;
for(int mask = 0; mask < (1 << sz); mask++){
for(int i = 0; i < sz; i++){
int u = door[i];
int path = sum[u] ^ sum[t];
int w = lca(u, t);
if((mask & path) == path){
ans = min(ans, dp[i][mask] + depth[u] + depth[t] - 2 * depth[w]);
}
}
}
if(ans == inf){
cout << -1;
return;
}
cout << ans;
}
signed main() {
if (fopen(taskname".inp","r")) {
freopen(taskname".inp","r",stdin);
freopen(taskname".out","w",stdout);
}
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
int test = 1;
//cin >> test;
while(test--){
solve();
}
return 0;
}
Compilation message (stderr)
Main.cpp: In function 'int main()':
Main.cpp:150:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
150 | freopen(taskname".inp","r",stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~
Main.cpp:151:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
151 | freopen(taskname".out","w",stdout);
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