Question: f: 1 ( ) 1 1 = , 0 0 + 0 1 = , 1 0 + + => => { , = ,

\f: 1 ( ) 1 1 = , 0 0 + 0 1 = , 1 0 + + => => { , = , | = = , , 1 1 + 0 0 = 0 => = 0, 0 1 + 1 0 = 0, , 0 0 + 1 1 = 0, , 0 0 =0 0 1 =0 } , | = = , , 0 0 = 0 1 0 0 = => 0 0 + + + { , 0 0 = , 1 1 1 1 + 0 0 }= = , | + = = , + + = { , , = , + } 0 0 + 1 1 + , , = = + { , , , = + | + => 0 1 + 1 0 , | = , , }= , 0 0 = 0 1 = + + + + + = + + ( ) { , , } , 1 1 =1 1 0 0 0 1 +0 1 0 1 1 =0 +1 0 0 0 0 +0 1 1 0 1 1 1 0 0 1 0 1 =[ ] = 0 0 1 0 0 0 +0 1 1 0 0 =. 0 1 ( ) 1 0 0 = 1 1 0 0 1 1 0 0 1 0 0 0 1 ( ) = 1 0 0 0 1 0 0 0 1 0 0 0 => 1 1 => 0 0 1 1 => 0 0 => 1 1 0 0 0 0 1 0 0 1 0 0 0 1 1 0 0 0 1 0 0 0 0 1 1 0 0 = 1 1 0 0 1 1 0 0 1 1 0 0 = 0 1 0 0 1 1 0 0 1 0 0 0 1 0 0 0 1 0 0 1 1 0 0 1 1 0 0 0 1 = 1 0 0 = 0 1 0 0 0 1 0 0 1 0 0 0 1 1 1 0 0 ,[ 0 0 0 1 1 0 0 = 0 1 0 0 0 1 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 ,[ 0 0 0 1 0 0 0 1 ,[ . 2 : + + = ={ , + + , 1 = 1 , 1 } { [ ] = [ ( )] = + + + + , [ ( )] [ ] = [ ( )] [ ( )] 1 1 + 1 = 1 1 + 1 1 1 . 1 [ ( )] = = [ ( )] 1 1 . 1 = } , ( ) 1 = 1 , 1 1 0 0 = 0 1 0 0 0 1 [ ( )] 3 : 1 0 0 [ ] = 0 1 0 0 0 2 = [ ( )] [ ( )] [ ( )] 1 1 1 1 1 => [ ( )] = 0 => ( ) = 1 1 + 0 1 + 0 1 = 1 0 1 1 1 1 0 1 1 1 1 [ ( )] = 1 => ( ) = 0 1 1 1 + 0 1 = 1 0 1 1 1 1 0 1 1 1 2 [ ( )] = 0 => ( ) = 0 1 + 0 1 + 2 1 = 2 . 2 1 1 1 2 1 0 + 0 = = 1 1 + 1 0 1 + 0 0 0 1 1 1 + 1 = 2 2 = 2 1 0 0 0 1 0 + + +2 +2 2 + 0 0 1 => + = +2 +2 2 . 4 ( ) 2 3 1 1 = ~ ~ 1 1 ,[ 2 3 1 1 ,[ 0 1 2 = ( ) = (1) 1 = 1 ( ) 1 1 0 = 0 1 1 1 0 1 1 1 ~ 0 1 0 1 0 1 ,[ 1 1 1 0 ~ 0 1 1 0 0 2 1 ~ 0 0 ,[ 1 0 1 1 , 0 1 + 1 2 = ( ) = 112 = 2 ( ) 1 1 1 = 0 1 2 0 1 4 1 1 1 ~ 0 1 2 0 0 2 1 ~ 0 0 ,[ 1 1 1 2 , 0 1 1 2 ( ) = 12 = 2 5 ( ) = = = =[ = = (, ) = . . = = = ( () => ( ) ( => ( ) ( )=1 , )=1 ( )= [ => { => )= ( )] ( )} = 1 ( ) = 1 , 1 , = 0, ( ) ... ... .... ... ... .... = = . . : 1 ( ) 1 1 = , 0 0 + 0 1 = , 1 0 + + => => { , = , | = = , , 1 1 + 0 0 = 0 => = 0, 0 1 + 1 0 = 0, , 0 0 + 1 1 = 0, , 0 0 =0 0 1 =0 } , | = = , , 0 0 = 0 1 0 0 = => 0 0 + + + { , 0 0 = , 1 1 1 1 + 0 0 }= = , | + = = , + + = { , , = , + } 0 0 + 1 1 + , , = = + { , , , = + | + => 0 1 + 1 0 , | = , , }= , 0 0 = 0 1 = + + + + + = + + ( ) { , , } , 1 1 =1 1 0 0 0 1 +0 1 0 1 1 =0 +1 0 0 0 0 +0 1 1 0 1 1 1 0 0 1 0 1 =[ ] = 0 0 1 0 0 0 +0 1 1 0 0 =. 0 1 ( ) 1 0 0 = 1 1 0 0 1 1 0 0 1 0 0 0 1 ( ) = 1 0 0 0 1 0 0 0 1 0 0 0 => 1 1 => 0 0 1 1 => 0 0 => 1 1 0 0 0 0 1 0 0 1 0 0 0 1 1 0 0 0 1 0 0 0 0 1 1 0 0 = 1 1 0 0 1 1 0 0 1 1 0 0 = 0 1 0 0 1 1 0 0 1 0 0 0 1 0 0 0 1 0 0 1 1 0 0 1 1 0 0 0 1 = 1 0 0 = 0 1 0 0 0 1 0 0 1 0 0 0 1 1 1 0 0 ,[ 0 0 0 1 1 0 0 = 0 1 0 0 0 1 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 ,[ 0 0 0 1 0 0 0 1 ,[ . 2 : + + = ={ , + + , 1 = 1 , 1 } { [ ] = [ ( )] = + + + + , [ ( )] [ ] = [ ( )] [ ( )] 1 1 + 1 = 1 1 + 1 1 1 . 1 [ ( )] = = [ ( )] 1 1 . 1 = } , ( ) 1 = 1 , 1 1 0 0 = 0 1 0 0 0 1 [ ( )] 3 : 1 0 0 [ ] = 0 1 0 0 0 2 = [ ( )] [ ( )] [ ( )] 1 1 1 1 1 => [ ( )] = 0 => ( ) = 1 1 + 0 1 + 0 1 = 1 0 1 1 1 1 0 1 1 1 1 [ ( )] = 1 => ( ) = 0 1 1 1 + 0 1 = 1 0 1 1 1 1 0 1 1 1 2 [ ( )] = 0 => ( ) = 0 1 + 0 1 + 2 1 = 2 . 2 1 1 1 2 1 0 + 0 = = 1 1 + 1 0 1 + 0 0 0 1 1 1 + 1 = 2 2 = 2 1 0 0 0 1 0 + + +2 +2 2 + 0 0 1 => + = +2 +2 2 . 4 ( ) 2 3 1 1 = ~ ~ 1 1 ,[ 2 3 1 1 ,[ 0 1 2 = ( ) = (1) 1 = 1 ( ) 1 1 0 = 0 1 1 1 0 1 1 1 ~ 0 1 0 1 0 1 ,[ 1 1 1 0 ~ 0 1 1 0 0 2 1 ~ 0 0 ,[ 1 0 1 1 , 0 1 + 1 2 = ( ) = 112 = 2 ( ) 1 1 1 = 0 1 2 0 1 4 1 1 1 ~ 0 1 2 0 0 2 1 ~ 0 0 ,[ 1 1 1 2 , 0 1 1 2 ( ) = 12 = 2 5 ( ) = = = =[ = = (, ) = . . = = = ( () => ( ) ( => ( ) ( )=1 , )=1 ( )= [ => { => )= ( )] ( )} = 1 ( ) = 1 , 1 , = 0, ( ) ... ... .... ... ... .... = =

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