public static void main ( String [ ] args ) throws Exception {
  FastReader fr = new FastReader ( ) ;
  int t = fr . nextInt ( ) ;
  while ( t -- > 0 ) {
    String s = fr . next ( ) ;
    int n = s . length ( ) ;
    int one = 0 ;
    int zero = 0 ;
    for ( char c : s . toCharArray ( ) ) {
      if ( c == '0' ) zero ++ ;
      else one ++ ;
    }
    int min = Integer . MAX_VALUE ;
    int prefz = 0 ;
    int prefo = 0 ;
    for ( int i = 0 ;
    i < n ;
    i ++ ) {
      if ( s . charAt ( i ) == '0' ) {
        prefz ++ ;
      }
      else {
        prefo ++ ;
      }
      if ( s . charAt ( i ) == '0' ) zero -- ;
      else one -- ;
      min = Math . min ( min , Math . min ( prefz + one , prefo + zero ) ) ;
    }
    System . out . println ( min ) ;
  }
}

public static void main ( String [ ] args ) throws Exception { FastReader fr = new FastReader ( ) ; int t = fr . nextInt ( ) ; while ( t -- > 0 ) { String s = fr . next ( ) ; int n = s . length ( ) ; int one = 0 ; int zero = 0 ; for ( char c : s . toCharArray ( ) ) { if ( c == '0' ) zero ++ ; else one ++ ; } int min = Integer . MAX_VALUE ; int prefz = 0 ; int prefo = 0 ; for ( int i = 0 ; i < n ; i ++ ) { if ( s . charAt ( i ) == '0' ) { prefz ++ ; } else { prefo ++ ; } if ( s . charAt ( i ) == '0' ) zero -- ; else one -- ; min = Math . min ( min , Math . min ( prefz + one , prefo + zero ) ) ; } System . out . println ( min ) ; } }
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