#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 bool dp[2][ 1 << 15 ]; int main() { cin.tie( 0 ); ios::sync_with_stdio( false ); int N; cin >> N; VPII ps( N ); for_each( ALL( ps ), []( PII &p ){ cin >> p.fst >> p.snd; p.snd += p.fst; } ); sort( ALL( ps ), []( const PII &p, const PII &q ){ return p.snd == q.snd ? p.fst < q.fst : p.snd < q.snd; } ); dp[0][0] = 1; REP( i, N ) { const int cur = i % 2; const int nex = 1 - cur; REP( j, 1 << 15 ) { if ( !dp[ cur ][j] ) { continue; } dp[ nex ][j] = 1; if ( j + ps[i].fst < ps[i].snd ) { dp[ nex ][ j + ps[i].fst ] = 1; } } } int res = 0; REP( j, 1 << 15 ) { if ( dp[ N % 2 ][j] ) { res = j; } } cout << res << endl; return 0; }