%!PS

% begin included library code
% see https://codeberg.org/Firedrake/postscript-libraries/
/test.start {
    print (:) print
    /test.pass 0 def
    /test.count 0 def
} bind def

/reduce { % array proc -> value
    2 dict begin
    /p exch def
    /a exch def
    a 0 get
    1 1 a length 1 sub {
        a exch get
        p
    } for
    end
} 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

/strjoin % [(a) (b) (c)] (j) -> (ajbjc)
{
    3 dict begin
    /j exch def
    dup 0 get /out exch def
    /first true def
    {
        first {
            pop
            /first false def
        } {
            out j strconcat
            exch strconcat
            /out exch def
        } ifelse
    } forall
    out
    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

/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


/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.with_keygen { % [ a c b ] { keygen } -> [ a b c ]
    3 dict begin
    /kg exch def
    /arr exch def
    /kl << arr {
                dup kg
            } forall >> def
    arr {
        exch kl exch get exch kl exch get quicksort.cmp
    } quicksort.with_comparator
} bind def

/alloccvs {
    2 dict begin
    /n exch def
    /a 1 def
    n
    dup 0 lt {
        /a a 1 add def
        neg
    } if
    {
        dup 10 lt {
            exit
        } if
        /a a 1 add def
        10 idiv
    } loop
    pop
    n a string cvs
    end
} 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


/listmax {
    { max } reduce
} bind def

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

/quicksort.with_keylist { % [ a c b ] [ keylist ] -> [ a b c ]
    4 dict begin
    /kg exch def
    /arr exch def
    /kl <<
            0 1 arr length 1 sub {
                /i exch def
                arr i get
                kg i get
            } for
        >> def
    arr {
        exch kl exch get exch kl exch get quicksort.cmp
    } quicksort.with_comparator
} bind def

/reverse {
    1 dict begin
    dup length /l exch def
    [ exch
      aload pop
      2 1 l {
          -1 roll
      } for
    ]
    end
} bind def

/strconcat % (a) (b) -> (ab)  
{ exch dup length
  2 index length add string
  dup dup 4 2 roll copy length
  4 -1 roll putinterval
} bind def

/map { % array proc -> array
    2 dict begin
    /p exch def
    [ exch
      {
          p
      } forall
    ]
    end
} bind def


% end included library code

/maxnumber {
    8 dict begin
    /lst exch def
    /po lst { alloccvs } map def
    /pl po { length } map listmax def
    /pm [
        po {
            /so exch def
            /sm so def
            so length pl le {
                /c so dup length 1 sub get def
                /sm pl string def
                0 1 pl 1 sub {
                    sm exch c put
                } for
                so sm copy pop
            } if
            sm
        } forall
    ] def
    po pm quicksort.with_keylist reverse () strjoin cvi
    end
} bind def

(maxnumber) test.start
[1 23] maxnumber 231 eq test
[10 3 2] maxnumber 3210 eq test
[31 2 4 10] maxnumber 431210 eq test
[5 11 4 1 2] maxnumber 542111 eq test
[1 10] maxnumber 110 eq test
test.end