%!PS

% begin included library code
% see https://codeberg.org/Firedrake/postscript-libraries/
/s2a {
    [ exch { } forall ]
} bind def

/quicksort.cmp {
    2 copy
    lt {
        pop pop -1
    } {
        gt {
            1
        } {
            0
        } ifelse
    } ifelse
} bind def

/test {
    /test.count test.count 1 add def
    {
        /test.pass test.pass 1 add def
    } {
        ( ) print
        test.count (....) cvs print
        (-fail) print
    } ifelse
} bind def

/quicksort.swap {
    2 dict begin
    /bi exch def
    /ai exch def
    arr ai get
    arr bi get
    arr exch ai exch put
    arr exch bi exch put
    end
} bind def

/test.start {
    print (:) print
    /test.pass 0 def
    /test.count 0 def
} bind def

/quicksort.with_comparator { % [ a c b ] { comparator } -> [ a b c ]
    2 dict begin
    /cmp exch def
    /arr exch def
    arr length 0 gt {
        0 arr length 1 sub quicksort.main
    } if
    arr
    end
} bind def

/quicksort.partition {
    3 dict begin
    /pivot arr hi lo add 2 idiv get def
    /i lo 1 sub def
    /j hi 1 add def
    {
        {
            /i i 1 add def
            arr i get pivot cmp 0 ge {
                exit
            } if
        } loop
        {
            /j j 1 sub def
            arr j get pivot cmp 0 le {
                exit
            } if
        } loop
        i j ge {
            j
            exit
        } if
        i j quicksort.swap
    } loop
    end
} bind def

/a2s {
    2 dict begin
    /i exch def
    i length dup string /o exch def
    1 sub 0 exch 1 exch {
        dup i 3 -1 roll get o 3 1 roll put
    } for
    o
    end
} bind def

/c.isdigit {
    dup 48 ge exch 57 le and
} bind def

/c.islower {
    dup 97 ge exch 122 le and
} bind def

/test.end {
    ( ) print
    test.count 0 gt {
        (Passed ) print
        test.pass (...) cvs print
        (/) print
        test.count (...) cvs print
        ( \() print
        test.pass 100 mul test.count idiv (...) cvs print
        (%\)) print
        (\r\n) print
    } if
} bind def

/quicksort.main { % lo hi -> (null)
    3 dict begin
    /hi exch def
    /lo exch def
    /xit false def
    lo 0 lt {
        /xit true def
    } if
    hi 0 lt {
        /xit true def
    } if
    lo hi ge {
        /xit true def
    } if
    xit not {
        /p quicksort.partition def
        lo p quicksort.main
        p 1 add hi quicksort.main
    } if
    end
} bind def

/quicksort {
    { quicksort.cmp } quicksort.with_comparator
} bind def

/apush.right { % [a b] c -> [a b c]
    exch
    [ exch aload length 2 add -1 roll ]
} bind def


% end included library code

/balancestring {
    0 dict begin
    /letters 0 array def
    /digits 0 array def
    s2a {
        /c exch def
        c c.islower {
            /letters letters c apush.right def
        } if
        c c.isdigit {
            /digits digits c apush.right def
        } if
    } forall
    digits length letters length sub abs 1 gt {
        ()
    } {
        /digits digits quicksort def
        /letters letters quicksort def
        /a digits def
        /b letters def
        letters length digits length 1 add eq {
            /a letters def
            /b digits def
        } if
        [
            0 1 b length 1 sub {
                /i exch def
                a i get
                b i get
            } for
            a length b length gt {
                a a length 1 sub get
            } if
        ] a2s
    } ifelse
    end
} bind def

(balancestring) test.start
(0a1b2c) balancestring (0a1b2c) eq test
(abc12) balancestring (a1b2c) eq test
(0a1b2c3) balancestring (0a1b2c3) eq test
(1a23) balancestring () eq test
(ab123) balancestring (1a2b3) eq test
test.end