January 2004 - Fractint - mailman.xmission.com

Graphics card for Fractint
by fracwood＠argonet.co.uk 26 Jan '04

26 Jan '04

Fractaliers My long used 32MB Matrox millenium G400 graphics card which has supported my 1600x1200 use of Fractint for many years failed this week and in my haste to get back computer function I purchased an Nvidia GForce Max 400( not much choice) card inexpensively from a local computer store. I was surprised to find that not only would this card nor run Fractint but it would not allow any DOS programs to be run. Under Windows 98SE on my 1Ghz Athlon Thunderbird PC it does support all the modes allowed by the monitor upto 1600x1200. After opening DOS from from the Windows Shutdown menu and attempted to run Fractint or a smaller DOS appliication the message that is displayed indicates there is not enough memmory. Attempts to run DOS apps. from Windows similary indicate there is not enough memory. Clearly with 768 MB RAM and no other applications this message means something else. Presumably since the DOS MEM /c/p command shows 455 K of usable memory the problem is that the driver software for the Nvidia card does not load any DOS drivers. Does anyone know if there are DOS drivers for this card and if not what alternative choice of inexpensive card is now available( does the Matrox G550 support Fractint?) .The Matrox G400 seems to be no longer available. Ian Entwistle --

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Re: [Fractdev] No bailout in bjax formula?
by Edwin 26 Jan '04

26 Jan '04

On Sun, 2004-01-18 at 10:13, Paul N. Lee wrote: > Edwin wrote: > > > > Looking at the fractint.frm which comes with > > xfractint 3.10, the "bjax" formula is: > > > > Have you tried using the later versions instead of the very old 3.10 ?? Good idea. I downloaded the latest-and-greatest 20.3 just now. BTW freshmeat.net still links to 3.10 as the latest version -might be worth updating that. This version doesn't have any .frm files included - is that deliberate? Copying fractint.frm from the previous version, I get the same results as before. Following Jonathan's suggestion, I get something (if not anything all that interesting) if I set the inside coloring method. Thanks, -- Edwin

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On a Jim Muth-SherLok Merfy-Osher Doctorow Debate?
by mdoctorow＠comcast.net 26 Jan '04

26 Jan '04

>From Osher Doctorow Ph.D. In replying to a member of Fractint who was interested in my Deformation and other postings, I also happened to reply to Jim Muth's posting that included comments on Precognition. SherLok Merfy then replied to my reply which latter reinterpreted Precognition as Telepathy and Clair- voyance in the part that referred to Jim Muth's posting, although Merfy apparently didn't include his opinions if any on Deformation mathematics and physics regarding fractals. The main thrust of my Deformation and other postings has had nothing to do with Precognition, Telepathy, clairvoyance, and what I mentioned in my last Deformation posting was that in effect I wouldn't submit any more Deformation postings unless other member(s) were interested as a courtesy to members of Fractint. This is what mainly interests me, not Precognition, Telepathy, or Clairvoyance. Having said all that, I did praise Jim Muth in my reply for having the courage to go against the Mainstream by indicating his interest in Precognition. I still think that he is quite courageous. SherLok Merfy's reply to my reply contains both excellent ideas on unlikely knowledge and senses that are often neglected by science and some opinions that I'm not in agreement with. To save space, I'll discuss those opinions of his that I'm not in agreement with, and readers can read his reply if they want to for his excellent ideas. Merfy indicates that a lot of self-professed clairvoyants are mental patients which says nothing about probability of fraud (almost quoting him word for word) and indicates that no one has been able to demonstrate direct image transmission from mind to mind. He is technically correct, but unfortunately there is a world of difference between the "letter of science" and the "spirit of science" or in other words the "deeper ideas of science". For those who don't know, this terminology comes from the expression "the letter of the law versus the spirit of the law," which you might want to look up on the internet if you haven't seen it before. My wife Marleen J. Doctorow Ph.D. is a licensed clinical psychologist with the State of California and has been in practice for several decades (we've been married almost 4 decades - perhaps a record for many professionals in the 50% or so divorce rate fad nation). She is one of the best psychologists in California. I don't think that, being married to her for almost 4 decades, it is very likely that I fall under the category of "mental patients", so it isn't necessarily true that somebody who thinks that Telepathy and Clairvoyance may or probably do exist is a mental patient. I am, however, a Nonconform- ist, which in the modern world is close to having the negative interpretation of being a mental patient - not that Merfy claimed that I'm a mental patient. Mental patients actually fall into two very important categories (and even more than two, but these two are important): A. Paranoid, B. Depressive. In simple language, using the psychoanalysis of Melanie Klein, the Paranoid position is Anger/Hatred Against Others, while the Depressive position is Anger/Hatred Against Oneself. Kleinian psycho- analysis, one of the most respected branches of psychoanalysis, has found that Depressives can usually be cured if they're treated early enough, while Paranoids can't because they hate the Psychiatrist and/ or Psychologist. Contrary to common belief, Paranoia and Depression aren't limited to mental patients in hospitals or doctor's offices - they range in "degree" from character disorders that are quite common both in and out of the academic world to neuroses that are often treated in an outpatient way to psychoses which usually require inpatient treatment in hospitals (although hospitals have their own problems due to overcrowding and so, and hospitalization is often far from an ideal solution other than preventing the psychotic from injuring anybody including himself/herself). So even if many self-professed Clairvoyants or Telepaths are mental patients, it's also true that many educated people are mental patients with or without belief in Clairvoyance or Telepathy, while many less educated people should have treatment but don't have the education to realize it. In fact, an amusing thing about the word "Normal" in comparing oneself with "Abnormal" mental patients is that according to clinical psychologists and psychiatrists, most people need some type of psychological or psychiatric treatment. You might like to look up "Character Disorders" on the internet as keywords to see some perhaps familiar examples of people who need treatment, including some professors and students who "keep on trucking" without being much interested in where they're heading. I don't think that human beings have much if any Telepathy or Clair- voyance, and certainly there's no evidence that they exert control over it or that Telepathy or Clairvoyance exert control over human beings. However, I think that somebody who thinks that it exists or might exist is a Nonconformist, and not a harmful Nonconformist such as a rapist or murderer. It might even help us in the rare event that humanity ever contacts a species in outer space which does have senses beyond human senses - perhaps senses similar in some ways to Telepathy or Clairvoyance. That is to say, it might help us in space exploration if we consider the possibility and the scenarios in which other possible species have very different senses and abilities from our own. Where Telepathy and Clairvoyance beliefs become dangerous is if one believes that "a dog is controlling me," or "somebody else's mind is controlling me," or "the devil made me do it," etc. Educated people do not tend to believe this, and seem to believe it less the more educated they are, which is fortunate for all of us. Occasionally a "semi-educated" person with considerable knowledge in one narrow field but little in other fields goes "off his/her rocker", though, and believes that he/she is controlled by or controls others. Bin Laden is possibly an example among others. Osher Doctorow

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FOTD 25-01-04 (The Best Dressed [6])
by Jim Muth 25 Jan '04

25 Jan '04

FOTD -- January 25, 2004 (Rating 6) Fractal visionaries and enthusiasts: The number one mystery of the day is why fractals exist. The number two mystery is why anyone would open an e-mail with a subject line such as 'blnfus fgoiun sheub ksnfiyve'. And the number three mystery is why so many of my FOTD fractals rate a 6. Today's image rates a 6. There is nothing wrong with a rating of 6 -- it's the rating I give to the greatest percen- tage of my FOTD's -- kind of like getting a 'B' grade in school. But what I want is a series of un-inflated A's and A+'s. The most frequent FOTD rating is a 6, which is a slightly-above- average fractal. Admittedly, this situation is a bit contradic- tory. How can an above-average rating be considered a group average? Well, if 90 percent of the kids in the local school can be far enough above average to be on the honor roll, why not 90 percent of the FOTD fractals? :-) Combined with a render time of 7-3/4 minutes, today's image has an overall worth of 80. It is a scene in the fractal created by combining 0.25 negative parts of Z^(-5.1) with one negative part of Z^(-1.5) and adding (1/C). This parent fractal is one of the typical amorphous things crea- ted by negative powers of Z. It consists of a large irregular bay with a prominent bud on the southwest shore. The southern valley leading to this bay is split into two sections, which made it unusual enough for me to examine closer. The closer examination proved fruitful. The area proved to be rich with midgets of a new variety, strangely similar yet strangely different. Today's image is a sample of what lies in this newly-discovered part of the fractal multiverse. I named the image "The Best Dressed". Whether it is actually best-dressed or not is up to the viewer to decide. But before making such a decision, one must view the object in question, and the way to view the object is to run the included parameter file or download the completed GIF image from Paul's web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Light fluffy snow fell until midday here at Fractal Central on Saturday. When it ended, 5-cm of fluffy snow was on the ground and the fractal cats were completely unhappy. The temperature of 25F -4C would have been too cold for their ears even if the ground had been bare. Today is even colder, the temperature is 14F -10C, the snow is still there, and much more snow is coming. I have yet to break the bad news to the not-so-dynamic duo. As for me, I'm ready to have a relaxing day doing as little as possible. I might find a great fractal or two in between spells of relaxation. And in 24 hours I will return with the best fractal that I find. Until then, take care, and the fact that we can give no reason for fractal existence does not mean that no reason exists. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ The_Best_Dressed { ; time=0:07:48.46--SF5 on a p200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix2 function=recip passes=1 center-mag=-0.13405699332489620/-2.142627954268001\ 00/1428134/1/-75/-5.16187510977983433e-007 params=-1/-1.5/-0.25/-5.1/0/0/0/0 float=y maxiter=1000 inside=0 logmap=149 periodicity=10 colors=000000000000gdZid`kbambbo`dq`eq_fq`hp`ho`kn\ `klankanjapiargbsfbtebvdbwactZcrWcrTcmQcoOciLcjIcd\ FcfCc`AcZA7_99d9Bh9Dl9Fp9GtALtBQtBUuCZsCcqDgoDlnEq\ mEumwIDzXEzkFxrGweDw`AwP7oTIgWT_ZcTanRZmQWlOTkNRkL\ OjKLiJJiMLhPNhSPgVRgYSf`UfcWffYei_el`dobdrhcuicxrc\ vo`ulYsiVrfSpcPoaMm`Jl_GaSSRLbGDn66y55w55v45u44t34\ r34q33p23o23m12l12k12j97nGBqNFtMJsMMsMQrLTrLXqL_qK\ bpKfpKioJmoJpnJsnMohPlbSiXVeRYbL`_FbX9aVDaUGaSJaRN\ aPQ`OT`MX`L_`Jb`IeaJbbJ`cJZdJXeJVfJTgJQhJOiJMjJKkJ\ IlJGmKElPDlUDlZClcCkhBkmBkrAkrAkwAjjCiiEhgGhfIgeKf\ cMfbOe`Qd_SdZTYUORPJKKEDF96A4060h5JdBHaHFZMDWSBTYA\ Qb8Nh6Kn4Hs3Ip7ImAIkDJhHJfKJcNKaRKZUKXXLU`LScLPfLN\ iOPjRRjUTjXUkZWkaYkdZlg`libllcmoemrgmthmsdlsakrZkr\ WjqTiqQiqMhqJgsGguDgwAix7ky5mz4oz3qz2rz1sz0tz2uz4v\ z6wz7xz9yzBzzCzzEzzGzzIzzJzzLzzNzzOzzPzzPzzPzzPzzP\ zzPzzPzzPzzPzzPzzPzzPzzPz } frm:MandelbrotMix2 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE==================================

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FOTD 24-01-04 (Whirling Devilish [6])
by Jim Muth 24 Jan '04

24 Jan '04

FOTD -- January 24, 2004 (Rating 6) Fractal visionaries and enthusiasts: In the most recent FOTD, the Z^1.003+C fractal that appeared two days ago, I mentioned that the large Mandeloid filling the frame has a tiny area of chaos on its northeast shore, but that the iteration count in this chaotic area is too high for exploring to be practical. For today's FOTD, I accomplished the impracti- cal. The image I found takes over 4 hours to render. Today's image is a scene in this narrow area of chaos, which appears to consist entirely of discontinuities. The unbroken features themselves, if such things exist, consist only of equal-iteration bands with smoothly curving boundaries. It is the way these boundaries are broken up that makes the image. The image shows a series of incomplete spirals with exaggerated colors -- the kind of thing that might be expected. But behind the spirals lies an 'inside' area with a perfectly straight edge, and this edge cuts uninterrupted across all the disconti- nuities that would normally be expected to disrupt it. A few thumbnail excursions into the detail along this straight edge have shown that the chaos there is totally unorganized, with areas having totally differing characteristics lying side-by- side. (I might explore this area in the near future.) I named the today's image "Whirling Devilish", a play on words that takes note of its prominent spirals. The over-exaggerated color palette permits a rating of no higher than a 6, which, combined with the 244-minute render time, gives an overall value of a pathetic 2.4. Wise fractalists will find a far better value by downloading the finished image from Paul's web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> I e-mailed the image to Paul several hours ago, so there should be no unusual wait for it to be rendered and posted. Friday was far too cold here at Fractal Central for dignified cats to be outdoors. The temperature never rose beyond 19F -7C, and the wind blew at a brisk pace all afternoon. The dynamic duo satisfied themselves curled by the radiator, catching up on sleep. This morning the ground is covered with about 3cm of powdery snow, and it is as cold as yesterday. It's no mystery how the cats will pass the day. I hope to pass the day uneventfully. I'll start by sweeping the sidewalk, and then . . . . Until next time, take care, and who knows what fractals lurk in the world of numbers? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Whirling_Devilish { ; time=4:04:39.54--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=floor passes=1 center-mag=+0.84148491609888050/-0.080629287046106\ 61/527.1442/1/117.5/-5.21221954485895367e-013 params=1.003/0/1040/1500 float=y maxiter=60000 inside=0 logmap=-4386 periodicity=10 colors=000L0HL0IM0IM0JN0JN0KO0KO0LP0LP0MQ0MQ0NR0NR\ 0OS0OS0PT0PT0QU0QU0RV1RV2SW3SW4TW5TW6UW7UW6UV6SU6R\ T6PR6OQ6MP6LO6JM6HL6GK6EJ6DH6BG6AF68A48E67I87M97QB\ 7UD6YE6cG6iI6mJ6qJ5nJ5kJ4iJ4gJ3dJ3aJ2ZJ2WJ1VJ1XO3Z\ S4`W5c_6ec7hg8jk9moAqtAosBmsCkrDirDgqEeqFcpFapG_pH\ YqIWqIUrJSrKPtLRtKSuKTvKUuKWtJXsJYrJZqJ_pJaoIbnIcm\ IdmIfmHgmHhmHimHjmHlmGmmGnmGomGqmFrmFsmFtmFumFvnHw\ oJxpLyqMzrOzsQztSzuTzvVzwXzxZzy_zzczzgzzlzzkzzjzzi\ zzhzzgzzfzzezzdzzczzbzzazz`zz_zzZzzYzzZzzXzzWzzVzz\ TzzSzzRzzPzzOzzNzzMzzKzzJzzIzzGzzFzzEzzDzzBzzAzz9z\ z7zz6zz5zz5zz4zz4zz4zz3zz3zz3zz3zz2zz2zz2zz2zz1zz1\ zz1zz1zz0zz0zz0zz0zz3zz6zz8zzBzzDzzGzzIzzLzzOzzQzz\ TzzVzzYzz_zzbzzezzgzzjzzlzzozzqzztzzwzzvzzuzzuzztz\ zszzszzrzzqzzqzzpzzozzozznzzmzzmzzlzzkzzkzzjzzizzi\ zzgzzezzdzzbzz`zz_zz`zzazzbzzbzzczzdzzdzzezzfzzfzz\ gzzhzznzzmzzlzzjzzizzgzzf } frm:MandelbrotBC1 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END 20.0 PAR-FORMULA FILE==================================

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No FOTD for January 23!
by Jim Muth 23 Jan '04

23 Jan '04

Fractal fans: Due to an unexpected work back-up here at F.C., there will br no FOTD for today. The problem is strictly temporary, and the FOTD will return on schedule in 24 hours. Jim M.

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New location for the -UPDATED- OrgForm Compilation
by Paul N. Lee 23 Jan '04

23 Jan '04

Greetings, George Martin did a wonderful job in putting the ORGFORM compilation together way back when, but he last made changes to it back in October of 1999. And that is the same copy which still exists on Noel Giffin's Spanky server (along with a few other sites). As some of you should be aware of by now, I have been keeping the old ORGFORM collection as up-to-date as I possibly can. And all of those new changes made over the last several years have been available as a download from my website. Well, the collection is now over twice the size it once was (or still is at some places), and I have created a specific location where it can always be accessed. The new URL is as follows: http://home.att.net/~Paul.N.Lee/OrgForm.html The old location will only remain through this weekend, after that all future updates may be obtained from the above URL. So those that may have links to the old site should make note of this and modify any bookmarks and/or web listings. Thank you. Sincerely, P.N.L. ------------------------------------------------- http://home.att.net/~Paul.N.Lee/PNL_Fractals.html http://www.Nahee.com/Fractals/

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Documentation for a new 'official release' of Fractint
by Hal Lane 22 Jan '04

22 Jan '04

############################################################# > I agree that the program itself [Fractint V20.03] is stable and worthy of > release (with perhaps just a little bug fixing). But the > documentation has gotten way out of date > Tim I also agree that in an 'official release' the documentation must match the program. I started updating the V20.0 docs when I occasionally learned of something that later versions of Fractint did beyond V20.0. However, I'm concerned that my merely editing the distributed docs (which now include page numbers which are no longer at the top of the pages) doesn't create anything useful that can be merged into an 'official release' of V20.03.0 docs. My copy of the docs can still be viewed in an editor but can no longer be printed correctly. Has anyone else done any updates to their local copy of the docs or collected update information that could be included in a up-to-date version of the documentation? <---<< The demo files also run extremely rapidly on my 400MHz machine. I also suspect that they are not doing some things correctly but I don't have any way to know if their results are correct or not. I feel that a name change to something like Fractflo is likely to be confusing to many non-technical users. Having a consistent name for the program is more important that being technically accurate about the program's method of calculation. The days when the 'integerness' of Fractint was critically important have passed into nostalgia (at least for me). - Hal Lane ######################### # hallane(a)earthlink.net # ######################### ############################################################# --- Outgoing mail is certified Virus Free. Checked by AVG anti-virus system (http://www.grisoft.com) Version: 6.0.564 / Virus Database: 356 - Release Date: 1/19/04

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FOTD 22-01-04 (An Old Smoothie [4])
by Jim Muth 22 Jan '04

22 Jan '04

FOTD -- January 22, 2004 (Rating 4) Fractal visionaries and enthusiasts: The magnitude of today's image is around 0.3, which is probably the lowest magnitude image ever to appear as an FOTD. The very low magnitude is necessary because the size of the fractal is many times the size of the classic M-set. In fact, I wonder whether to call today's image a fractal at all. There appears to be little of interest in the single large squashed bay with its single large squashed bud. True, an area of chaos does exist on the northeast shore, but this area is quite slow to explore, and hardly worth the effort. I present today's image mainly as a curiosity, to show what exists even in fractals (if such things are fractals) with a generating formula so close to unity, when the maxiter is raised to a value as high as the 50000 of today's image. While searching for a name for the image, titles such as 'Unibud', 'Squashed', 'Schmoo', 'Tubby', etc., went through my head. I finally noticed a certain feeling of relaxation about the image, and decided on the name "An Old Smoothie". The extreme maxiter and large expanse of 'inside' points makes the image a relatively slow one to generate. Combined with the rating of 4, which is all I could honestly give the image, this render time results in an overall value of 18. But don't take these values too seriously yet. The current system gives too much importance to the render time. I will soon develop a more appropriate way of deciding the overall value of the FOTD images. Most likely, I will divide the rating by the square root of the minutes required to render the image, and multiply the result by 100, which would give today's image a value of 85. We'll see what I come up with. As always, the finished GIF image is available at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Another very cold day on Wednesday, with a high temperature of 28F -2C here at Fractal Central, kept the fractal cats indoors all afternoon. Their mood was one of surprising acceptance however, and only a small bit of tuna was needed to keep them happy. Today is starting cloudy but not so cold. The cats are already thinking of a romp in the yard. I have about the average amount of work to finish before I can call it a day. Until next FOTD, take care and smooth out those rough edges. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ An_Old_Smoothie { ; time=0:22:28.03--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=floor center-mag=-0.771347/0.955451/0.2969827/1/67.5/3.8\ 8578058618805e-016 params=1.003/0/1040/1500 float=y maxiter=50000 inside=0 logmap=-350 periodicity=10 colors=000`Am`Al`Ak`Aj`Ai`Ah`Ag`Af`Ae`Ad`Ac`Ab`Aa`\ A``B_`CZ`DY`EX`FW`GV`HU`IT`JS`KR`LQ`MP`NO`ON`PM_QL\ _RKZSJZTIYUHYVJXXMX_OWbQVeTUhVUkXTn_SqaRtcRweUudWr\ cZqc`nbcmbejahiajg`me`oc_rb_t`Zv_ZsaYqbYodXmeXjfWh\ hWfiVdjValU_mUYoTWpTTqSRsSUtRcuRmlUwdXzX_zObzGez8h\ z0jz2iz3iz4iz5hz7hz8hz9gzAgzCgzDfzEfzFfzGfze0zf7zf\ DzfKzgQzgXzgbzf`zeZzdXzdVzcTzbRzbQzaOz`Mz_Kz_IzZGz\ YEzYDz0yz7szEnzLizSczZZzeUzkPzlOzmOznOzoOzpOzqOzqN\ zrNzsNztNzuNzvNzvNzhTzVZzIdzKezMezNezPezQezSezTfzV\ fzWfzYfzZfz`fzafz_czZ`zYYzXVzVSzUPzTMzSJzQGzPDzOAz\ N7zM5zO8zQAzSCzTEzVGzXJzZLz_NzaPzcRzeUzfWzhYzj_zla\ zmczkfzjhzijzglzfozeqzcszbuzawzZuzXtzUrzNXzVTzSTzQ\ TzOTzHVzMTzQRzUPzYOzbMzfKzjIzvBzrEznHzkJzgMzdOz`Rz\ VSzYTz`TzcTzeTzgSziRzjQzlPzmOzoNzlcznVzpMzaMzJLzOM\ z31zGCzSMzdWzpdzpezoizomznqznuzszznxzjvzftzbrzUgzW\ pzZqzarzdszgszfnzfjzfezfa } frm:MandelbrotBC1 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END 20.0 PAR-FORMULA FILE==================================

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Fractint as a background process
by Vortex Swirling 22 Jan '04

22 Jan '04

Excellent. Thanks for the tip. I still had the disk video modes in my cfg so I tried it. The Fractint Dos box then remains active in XP and in fact can be restored to a window so you can see the course of the calculation. --- Outgoing mail is certified Virus Free. Checked by AVG anti-virus system (http://www.grisoft.com) Version: 6.0.564 / Virus Database: 356 - Release Date: 1/19/2004

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