#include<bits/stdc++.h>
using namespace std ;
typedef long long ll ;
typedef unsigned long long ull ;
typedef pair < int , int > pii ;
typedef vector<int> vi;
#define fi first
#define se second
mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());

#define rep(i, a, b) for(int i = a; i < (b); ++i)
#define all(x) begin(x), end(x)
#define sz(x) (int)(x).size()

const int MAXN = 1e5 + 7 ;
const int LOG = 18 ;

int n , m , k ;
vector < int > v[ MAXN ] ;
int lvl[ MAXN ] , LCA[ MAXN ][ LOG ] ;
int inc[ MAXN ] ;
int subtree[ MAXN ] ;
int heavy[ MAXN ] , root[ MAXN ] , pos[ MAXN ] ;

struct path {
    int x , y , add ;
};
path hh[ 5 * MAXN ] ;
vector < int > at_lca[ MAXN ] ;

void init ( int x , int prv ) {
    for ( int i = 1 ; i < LOG ; ++ i ) {
        LCA[ x ][ i ] = LCA[ LCA[ x ][ i - 1 ] ][ i - 1 ] ;
    }
    subtree[ x ] = 1 ;
    int tp = 0 ;
    for ( auto y : v[ x ] ) {
        if ( y == prv ) { continue ; }
        lvl[ y ] = lvl[ x ] + 1 ;
        LCA[ y ][ 0 ] = x ;
        inc[ y ] = tp ++ ;
        init ( y , x ) ;
        if ( subtree[ heavy[ x ] ] < subtree[ y ] ) {
            heavy[ x ] = y ;
        }
        subtree[ x ] += subtree[ y ] ; 
    }
}

int get_lca ( int x , int y ) {
    for ( int i = LOG - 1 ; i >= 0 ; -- i ) {
        if ( lvl[ x ] - ( 1 << i ) >= lvl[ y ] ) {
            x = LCA[ x ][ i ] ;
        }
        if ( lvl[ y ] - ( 1 << i ) >= lvl[ x ] ) {
            y = LCA[ y ][ i ] ;
        }
    }
    for ( int i = LOG - 1 ; i >= 0 ; -- i ) {
        if ( LCA[ x ][ i ] != LCA[ y ][ i ] ) {
            x = LCA[ x ][ i ] ;
            y = LCA[ y ][ i ] ;
        }
    }
    if ( x != y ) { x = LCA[ x ][ 0 ] ; }
    return x ;
}

int move_up ( int x , int cnt ) {
    for ( int i = LOG - 1 ; i >= 0 ; -- i ) {
        if ( cnt >= ( 1 << i ) ) {
            x = LCA[ x ][ i ] ;
            cnt -= ( 1 << i ) ;
        }
    }
    return x ;
}

ll tr[ MAXN ] ;
void update ( int x , ll add ) {
    while ( x <= n ) {
        tr[ x ] += add ;
        x += ( x & -x ) ;
    }
}
ll query ( int x ) {
    ll ret = 0 ;
    while ( x > 0 ) {
        ret += tr[ x ] ;
        x -= ( x & -x ) ;
    }
    return ret ;
}

ll get_sm ( int l , int r ) {
    if ( l > r ) { return 0 ; }
    return query ( r ) - query ( l - 1 ) ;
}

ll full[ MAXN ] ;
ll dp[ MAXN ][ 12 ] ;

ll sr[ ( 1 << 12 ) ] ;
ll aux[ ( 1 << 12 ) ] ;

ll get_path_sm ( ll down , ll up ) {
    ll ret = full[ up ] ;
    while ( root[ down ] != root[ up ] ) {
        ret += get_sm ( pos[ root[ up ] ] , pos[ up ] - 1 ) ;
        ret += dp[ LCA[ root[ up ] ][ 0 ] ][ inc[ root[ up ] ] ] ;
        up = LCA[ root[ up ] ][ 0 ] ;
    }
    ret += get_sm ( pos[ down ] + 1 , pos[ up ] - 1 ) ;
    return ret ;
}

void dfs ( int x , int prv ) {
    int sz = 0 ;
    for ( auto y : v[ x ] ) {
        if ( y == prv ) { continue ; }
        ++ sz ;
        dfs ( y , x ) ;
    }
    for ( int i = 0 ; i < ( 1 << sz ) ; ++ i ) {
        aux[ i ] = 0 , sr[ i ] = 0 ;
    }
    for ( auto id : at_lca[ x ] ) {
        int mask = 0 ;
        ll cand = hh[ id ].add ;
        if ( hh[ id ].x != x ) {
            mask += ( 1 << inc[ move_up ( hh[ id ].x , lvl[ hh[ id ].x ] - lvl[ x ] - 1 ) ] ) ;
            cand += get_path_sm ( x , hh[ id ].x ) ;
        }
        if ( hh[ id ].y != x ) {
            mask += ( 1 << inc[ move_up ( hh[ id ].y , lvl[ hh[ id ].y ] - lvl[ x ] - 1 ) ] ) ;
            cand += get_path_sm ( x , hh[ id ].y ) ;
        }
        int lim = ( 1 << sz ) - 1 - mask ;
        for ( int act = lim ; act > 0 ; act = ( act - 1 ) & lim ) {
            aux[ act + mask ] = max ( aux[ act + mask ] , aux[ act ] + cand ) ;
        }
        aux[ mask ] = max ( aux[ mask ] , cand ) ;
    }
    for ( auto y : v[ x ] ) {
        if ( y == prv ) { continue ; }
        int lim = ( 1 << sz ) - 1 - ( 1 << inc[ y ] ) ;
        int mask = ( 1 << inc[ y ] ) ;
        for ( int act = lim ; act > 0 ; act = ( act - 1 ) & lim ) {
            aux[ act + mask ] = max ( aux[ act + mask ] , aux[ act ] + full[ y ] ) ;
        }
    }
    full[ x ] = aux[ ( 1 << sz ) - 1 ] ;
    for ( int i = 0 ; i < sz ; ++ i ) {
        dp[ x ][ i ] = aux[ ( 1 << sz ) - 1 - ( 1 << i ) ] ;
    }
    if ( prv != -1 && heavy[ prv ] == x ) { 
        update ( pos[ prv ] , dp[ x ][ inc[ heavy[ x ] ] ] ) ;
    }
}

void solve ( ) {
    cin >> n >> m >> k ;
    for ( int i = 1 , x , y ; i < n ; ++ i ) {
        cin >> x >> y ;
        v[ x ].push_back ( y ) ;
        v[ y ].push_back ( x ) ;
    }
    init ( 1 , -1 ) ;
    for ( int i = 1 ; i <= m ; ++ i ) {
        cin >> hh[ i ].x >> hh[ i ].y >> hh[ i ].add ;
        at_lca[ get_lca ( hh[ i ].x , hh[ i ].y ) ].push_back ( i ) ;
    }
    int tp = 0 ;
    for ( int i = 1 ; i <= n ; ++ i ) {
        if ( heavy[ LCA[ i ][ 0 ] ] != i ) {
            int x = i ;
            while ( x > 0 ) {
                root[ x ] = i ;
                pos[ x ] = ++ tp ;
                x = heavy[ x ] ;
            }
        }
    }
    dfs ( 1 , -1 ) ;
    cout << full[ 1 ] << "\n" ;
}

int main ( ) {
    ios_base :: sync_with_stdio ( false ) ;
    cin.tie ( NULL ) ;
    int t = 1 ; // cin >> t ; 
    while ( t -- ) { solve ( ) ; }
    return 0 ;
}