%!PS

% begin included library code
% see https://codeberg.org/Firedrake/postscript-libraries/
/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

/listmin {
    { min } reduce
} bind def

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

/combinations {
    4 dict begin
    /k exch def
    /arr exch def
    /c [
        0 1 k 1 sub { } for
        arr length
        0
    ] def
    [
        {
            [
                k 1 sub -1 0 {
                    c exch get arr exch get
                } for
            ]
            /j 0 def
            {
                c j get 1 add c j 1 add get ne {
                    exit
                } if
                c j j put
                /j j 1 add def
            } loop
            j k ge {
                exit
            } if
            c j c j get 1 add put
        } loop
    ]
    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


% end included library code

/shortesttime {
    [ exch
      {
          dup 0 2 getinterval cvi 60 mul exch 3 2 getinterval cvi add
      } forall
    ]
    [ exch
      2 combinations {
          aload pop sub abs dup 1440 exch sub
      } forall
    ] listmin
} bind def

(shortesttime) test.start
[(00:00) (23:55) (20:00)] shortesttime 5 eq test
[(01:01) (00:50) (00:57)] shortesttime 4 eq test
[(10:10) (09:30) (09:00) (09:55)] shortesttime 15 eq test
test.end