#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 ) ( c ).begin(), ( c ).end() #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 PB push_back #define EM emplace #define EB emplace_back #define BI back_inserter #define EXIST( c, e ) ( ( c ).find( e ) != ( c ).end() ) #define MP make_pair #define fst first #define snd second #define DUMP( x ) cerr << #x << " = " << ( x ) << endl // 二部グラフ最大マッチング O( |V||E| ) class BipartiteMatching { private: const int V; vector< vector > G; vector match; vector used; public: BipartiteMatching( int v ) : V( v ), G( V ), match( V, -1 ), used( V ) { return; } void connect( int u, int v ) { G[u].push_back( v ); G[v].push_back( u ); return; } int solve() { int res = 0; fill( match.begin(), match.end(), -1 ); for ( int v = 0; v < V; ++v ) { if ( match[v] == -1 ) { fill( used.begin(), used.end(), false ); if ( dfs( v ) ) { res++; } } } return res; } VI restore() const { return match; } private: int dfs( int v ) { used[v] = true; for ( int i = 0; i < (int)G[v].size(); ++i ) { int u = G[v][i], w = match[u]; if ( w == -1 || ( !used[w] && dfs( w ) ) ) { match[v] = u; match[u] = v; return true; } } return false; } }; // BipartiteMatching( |V| ) // connect( u, v ) // solve() int main() { cin.tie( 0 ); ios::sync_with_stdio( false ); int N; cin >> N; VI A( N ); cin >> A; BipartiteMatching bm( N * 2 ); REP( i, N ) { REP( j, N ) { if ( A[i] != j ) { bm.connect( N + i, j ); } } } if ( bm.solve() < N ) { cout << -1 << endl; return 0; } const VI res = bm.restore(); copy_if( ALL( res ), ostream_iterator< int >( cout, "\n" ), bind( less< int >(), _1, N ) ); cout << flush; return 0; }