#include #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 ISS = istringstream; using OSS = ostringstream; 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 NUMBERED( name, number ) NUMBERED2( name, number ) #define NUMBERED2( name, number ) name ## _ ## number #define REP1( n ) REP2( NUMBERED( REP_COUNTER, __LINE__ ), n ) #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, REP1 )( __VA_ARGS__ ) #define FOR( e, c ) for ( auto &&e : c ) #define ALL( c ) begin( c ), end( c ) #define AALL( a ) ( remove_all_extents< decltype( a ) >::type * )a, ( remove_all_extents< decltype( a ) >::type * )a + sizeof( a ) / sizeof( remove_all_extents< decltype( a ) >::type ) #define DRANGE( c, p ) begin( c ), begin( c ) + ( p ), end( c ) #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 string get_str() { char buffer[ 1 << 17 ]; gets( buffer ); return move( string( buffer ) ); } int N; string S; VVI G; int dp[ 1 << 17 ][2]; void dfs1( const int u = 0, const int p = -1 ) { ++dp[u][ S[u] == 'w' ]; FOR( v, G[u] ) { if ( v == p ) { continue; } dfs1( v, u ); dp[u][0] += dp[v][0]; dp[u][1] += dp[v][1]; } return; } LL dfs2( const int u = 0, const int p = -1, const int pc = 0, const int pw = 0 ) { VI cs, ws; FOR( v, G[u] ) { if ( v == p ) { continue; } cs.PB( dp[v][0] ); ws.PB( dp[v][1] ); } cs.PB( pc ); ws.PB( pw ); const int tc = accumulate( ALL( cs ), 0 ); const int tw = accumulate( ALL( ws ), 0 ); LL res = 0; if ( S[u] == 'w' ) { res += LL( tc ) * tw; REP( i, SZ( cs ) ) { res -= LL( cs[i] ) * ws[i]; } } FOR( v, G[u] ) { if ( v == p ) { continue; } res += dfs2( v, u, tc - dp[v][0] + ( S[u] == 'c' ) , tw - dp[v][1] + ( S[u] == 'w' ) ); } return res; } int main() { cin.tie( 0 ); ios::sync_with_stdio( false ); cout << setprecision( 12 ) << fixed; scanf( "%d ", &N ); S = get_str(); G.resize( N ); REP( N - 1 ) { int a, b; scanf( " %d%d", &a, &b ); --a, --b; G[a].PB( b ); G[b].PB( a ); } dfs1(); printf( "%lld\n", dfs2() ); fflush( stdout ); return 0; }