//* #pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") //*/ #include // #include using namespace std; // using namespace atcoder; #define DEBUG(x) cerr<<#x<<": "< #define vl vector #define vii vector< vector > #define vll vector< vector > #define vs vector #define pii pair #define pis pair #define psi pair #define pll pair template pair operator+(const pair &s, const pair &t) { return pair(s.first + t.first, s.second + t.second); } template pair operator-(const pair &s, const pair &t) { return pair(s.first - t.first, s.second - t.second); } template ostream& operator<<(ostream& os, pair p) { os << "(" << p.first << ", " << p.second << ")"; return os; } #define X first #define Y second #define rep(i,n) for(int i=0;i<(int)(n);i++) #define rep1(i,n) for(int i=1;i<=(int)(n);i++) #define rrep(i,n) for(int i=(int)(n)-1;i>=0;i--) #define rrep1(i,n) for(int i=(int)(n);i>0;i--) #define REP(i,a,b) for(int i=a;i bool chmax(T &a, const T &b) { if (a bool chmin(T &a, const T &b) { if (a>b) { a = b; return 1; } return 0; } #define UNIQUE(v) v.erase(std::unique(v.begin(), v.end()), v.end()); const ll inf = 1000000001; const ll INF = (ll)1e18 + 1; const long double pi = 3.1415926535897932384626433832795028841971L; #define Sp(p) cout<> G(N); ll dist[N][N]; ll dp[2][N][N]; vll path(N); void dfs(int now, int par, int root, ll sum) { dist[root][now] = sum; for (pll temp: G[now]) { if (temp.first == par) continue; dfs(temp.first, now, root, sum + temp.second); } path[root].push_back(now); } signed main() { fio(); ll n, q, c; cin >> n >> q >> c; rep (i, n - 1) { int u, v, l; cin >> u >> v >> l; u--; v--; G[u].push_back(pll(v, l)); G[v].push_back(pll(u, l)); } rep (i, n) { dfs(i, -1, i, 0); } vector x(q); rep (i, q) { cin >> x[i]; x[i]--; } rep (i, 2) rep (j, q) rep (k, n) dp[i][j][k] = INF; dp[1][0][x[0]] = 0; // using P = pair>; // priority_queue, greater

> pq; // pq.push(P(0, {1, 0, x[0]})); rep (i, q - 1) { rep (k, 2) { for (int j: path[x[i + 1]]) { ll cost = dp[k][i][j]; if (k == 0) { short ni = i, nj = j, nk = 1; if (dp[nk][ni][nj] > cost + c) { dp[nk][ni][nj] = cost + c; } ni = i + 1, nj = j, nk = 0; if (dp[nk][ni][nj] > cost + dist[x[i]][x[i + 1]]) { dp[nk][ni][nj] = cost + dist[x[i]][x[i + 1]]; } } if (k == 1) { short ni = i + 1, nj = j, nk = 0; if (dp[nk][ni][nj] > cost + dist[j][x[i + 1]]) { dp[nk][ni][nj] = cost + dist[j][x[i + 1]]; // pq.push(P(dp[nk][ni][nj], {nk, ni, nj})); } if (j == x[i + 1]) { short ni = i + 1, nj = j, nk = 1; if (dp[nk][ni][nj] > cost) { dp[nk][ni][nj] = cost; // pq.push(P(dp[nk][ni][nj], {nk, ni, nj})); } } for (pll temp: G[j]) { short ni = i, nj = temp.first, nk = 1; if (dist[nj][x[i + 1]] > dist[j][x[i + 1]]) continue; if (dp[nk][ni][nj] > cost + temp.second) { dp[nk][ni][nj] = cost + temp.second; // pq.push(P(dp[nk][ni][nj], {nk, ni, nj})); } } } } } } // while (pq.size()) { // P temp = pq.top(); // pq.pop(); // ll cost = temp.first; // short i = temp.second[1], j = temp.second[2], k = temp.second[0]; // if (i == q - 1) continue; // if (dp[k][i][j] < cost) continue; // if (k == 0) { // } // if (k == 1) { // } // } ll ans = INF; rep (k, 2) { rep (j, n) { chmin(ans, dp[k][q - 1][j]); } } cout << ans << endl; }