#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace placeholders; using LL = long long; using ULL = unsigned long long; using VI = vector< int >; using VVI = vector< vector< int > >; using VS = vector< string >; using SS = stringstream; using PII = pair< int, int >; using VPII = vector< pair< int, int > >; template < typename T = int > using VT = vector< T >; template < typename T = int > using VVT = vector< vector< T > >; template < typename T = int > using LIM = numeric_limits< T >; template < typename T > inline istream& operator>>( istream &s, vector< T > &v ){ for ( T &t : v ) { s >> t; } return s; } template < typename T > inline ostream& operator<<( ostream &s, const vector< T > &v ){ for ( int i = 0; i < int( v.size() ); ++i ){ s << ( " " + !i ) << v[i]; } return s; } template < typename T > inline T fromString( const string &s ) { T res; istringstream iss( s ); iss >> res; return res; } template < typename T > inline string toString( const T &a ) { ostringstream oss; oss << a; return oss.str(); } #define REP2( i, n ) REP3( i, 0, n ) #define REP3( i, m, n ) for ( int i = ( int )( m ); i < ( int )( n ); ++i ) #define GET_REP( a, b, c, F, ... ) F #define REP( ... ) GET_REP( __VA_ARGS__, REP3, REP2 )( __VA_ARGS__ ) #define FOR( e, c ) for ( auto &&e : c ) #define ALL( c ) begin( c ), end( c ) #define AALL( a, t ) ( t* )a, ( t* )a + sizeof( a ) / sizeof( t ) #define DRANGE( c, p ) ( c ).begin(), ( c ).begin() + ( p ), ( c ).end() #define SZ( v ) ( (int)( v ).size() ) #define EXIST( c, e ) ( ( c ).find( e ) != ( c ).end() ) template < typename T > inline bool chmin( T &a, const T &b ){ if ( b < a ) { a = b; return true; } return false; } template < typename T > inline bool chmax( T &a, const T &b ){ if ( a < b ) { a = b; return true; } return false; } #define PB push_back #define EM emplace #define EB emplace_back #define BI back_inserter #define MP make_pair #define fst first #define snd second #define DUMP( x ) cerr << #x << " = " << ( x ) << endl // BEGIN SNIPLATE lca // {{ abbr: calculate Lowest Common Ancestor of a tree }} // {{ class: Graph, Tree }} // {{ pattern: class\sLowestCommonAncestor }} // 木の根を適当に固定して、最近共通祖先を求める // 二点間距離もいける // 前処理 O( N log N ) // クエリ O( log N ) class LowestCommonAncestor { private: const int N; std::vector< VPII > G; bool constructed = false; std::vector depth_, distances_; std::vector< std::vector > parent_; public: LowestCommonAncestor( const int n ) : N( n ), G( N ), depth_( N ), distances_( N ), parent_( N, std::vector( 31, -1 ) ) { return; } void connect( const int u, const int v, const int d = 1 ) { G[u].EB( v, d ); G[v].EB( u, d ); constructed = false; return; } int depth( const int u ) const { return depth_[u]; } int solve( int u, int v ) { if ( !constructed ) { dfs( 0, -1, 0, 0 ); doubling(); constructed = true; } if ( depth_[u] < depth_[v] ) { swap( u, v ); } { // align depths int diff = depth_[u] - depth_[v]; for ( int i = 30; 0 <= i; --i ) { if ( diff & 1 << i ) { u = parent_[u][i]; } } } if ( u == v ) { return u; } for ( int i = 30; 0 <= i; --i ) { if ( parent_[u][i] != parent_[v][i] ) { u = parent_[u][i]; v = parent_[v][i]; } } return parent_[u][0]; } int distance( const int u, const int v ) { const int w = solve( u, v ); return distances_[u] + distances_[v] - 2 * distances_[w]; } private: void dfs( const int u, const int prev, const int d, const int dist ) { depth_[u] = d; parent_[u][0] = prev; distances_[u] = dist; for ( const PII &e : G[u] ) { const int v = e.fst; if ( v == prev ) { continue; } dfs( v, u, d + 1, dist + e.snd ); } return; } void doubling() { for ( int i = 0; i < 30; ++i ) { for ( int u = 0; u < N; ++u ) { if ( parent_[u][i] != -1 ) { parent_[u][ i + 1 ] = parent_[ parent_[u][i] ][i]; } } } return; } }; // LowestCommonAncestor( N ) // connect( u, v [, dist = 1 ] ) // solve( u, v ) // depth( u ) // distance( u, v ) int N; VVI G; VI costs, tcosts; void dfs( const int u, const int prev = -1, const int cost = 0 ) { tcosts[u] = cost + costs[u]; FOR( v, G[u] ) { if ( v == prev ) { continue; } dfs( v, u, cost + costs[u] ); } return; } int main() { cin.tie( 0 ); ios::sync_with_stdio( false ); cout << setprecision( 12 ) << fixed; scanf( "%d", &N ); G.resize( N ); costs.resize( N ); tcosts.resize( N ); LowestCommonAncestor lca( N ); REP( _, N - 1 ) { int u, v; scanf( "%d%d", &u, &v ); G[u].PB( v ); G[v].PB( u ); lca.connect( u, v ); } for_each( ALL( costs ), []( int &c ){ scanf( "%d", &c ); } ); dfs( 0 ); int M; scanf( "%d", &M ); LL res = 0; REP( _, M ) { int a, b, c; scanf( "%d%d%d", &a, &b, &c ); res -= tcosts[ lca.solve( a, b ) ] * c * 2; res += costs[ lca.solve( a, b ) ] * c; res += tcosts[a] * c; res += tcosts[b] * c; } printf( "%lld\n", res ); return 0; }