How long would it take to score 1 billion points on Satan's Hollow?

  1. How long would it take to score 1 billion points on Satan's Hollow?

    11-23-2019, 07:19 AM
    Based on Ben Falls 51+ million point game where he scored 50 million points in about 3.5 hours, it'd take roughly sqrt(1000/50)*3.5 = 15 hours, 40 minutes, as Satan's Hollow is a quadratic-scoring game. So it's certainly possible, but the main problem is you only have 4 lives.

    -Chris
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  2. 11-23-2019, 09:17 AM
    There is a title other than "Nibbler" which one person more than a decade ago claimed a ridiculously high score on...much higher (9 quadrillion), but he never went ahead with a submission.


    A little known arcade title called "Bandido" (aka "Sheriff") has an in-game feature where every few stages you can effectively double your score. Page 11 here explains this - https://www.arcade-museum.com/manual.../B/Bandido.pdf


    There is no "kill screen" (known, anyway) thus the score potential if no "kill screen" is present would be enormous, but again it is a minimal-life game. The other problem is the score itself...I think it rolls at the 100K mark which makes keeping track of the score in a lengthy performance exceedingly difficult.
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  3. 11-24-2019, 02:35 AM
    I did an analysis of a submitted score for the game Bandido many years ago. The claimed score was 4,774,120,903,188,530, and I still have the analysis I did (which I've attached, as it's quite interesting).

    -Chris
    Attached Images Attached Images
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  4. 11-24-2019, 07:53 PM
    I made a quick spreadsheet based on scoring from my arcade 45M score which took just under three hours and 733 rounds. Assuming no mistakes and a constant rate of rounds played per hour, to get to a billion would take around 3450 rounds and would take roughly 13.5 hours.
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  5. 11-25-2019, 12:19 AM
    It's amusing that you'd be getting over a 3 million point bonus by that round, and it'd take enough time to tally the bonus that you could have a drink or eat half of a sandwich.

    Which makes me realize that it's not truly asymptotically quadratic in scoring, as the bonus tally time is linearly proportional to round. Eventually the amount of time you'd be playing would be completely dominated by waiting for the bonus tally!

    -Chris
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  6. 11-25-2019, 03:41 PM
    Quote Originally Posted by Eternal View Post
    It's amusing that you'd be getting over a 3 million point bonus by that round, and it'd take enough time to tally the bonus that you could have a drink or eat half of a sandwich.

    Which makes me realize that it's not truly asymptotically quadratic in scoring, as the bonus tally time is linearly proportional to round. Eventually the amount of time you'd be playing would be completely dominated by waiting for the bonus tally!

    -Chris
    If the time factor is included we don't really have enough data points to accurately predict the bonus time. If memory serves the game awards a lava bridge completion in 1K increments from 1 to 49 bleeping each time, after which it gives one big 50, then another 49 increments until 100 clearances, at which point one gets two big 50's and so on.

    We would have to track the elapsed time of each clearance to accurately track the rate of scoring with respect to time, which might be interesting.

    Also we would have to look at the game code to see if a range error occurs at some point. Is the game using 16-bits to track the lava bridge completions? If so it would roll over at 65,536 bridge completions. There is also the possibility of other range errors, but it seems that so far no such error has occurred.

    Actually I've over simplified it... the game counts from 1 to 9 then you get a flag representing 10... so the bonus time would decrease at that point. So we would really need to track the bonus time for each completion and then re-evaluate it. It's more complex than it first appears.
    Last edited by Mark Longridge; 11-25-2019 at 03:55 PM.
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  7. 11-25-2019, 07:35 PM
    Quote Originally Posted by Eternal View Post
    I did an analysis of a submitted score for the game Bandido many years ago. The claimed score was 4,774,120,903,188,530, and I still have the analysis I did (which I've attached, as it's quite interesting).

    -Chris


    RTM REPLY - wow, I forgot about this collective effort !! I do remember the E-MAIL claim that arrived in my company E-MAIL inbox one day and I had reached out to you as I usually did for mathematical help. Robert G and I often collaborated on certain titles like this one, "Canyon Bomber" and "Indiana Jones", I did forget his involvement. This was a great throwback, thanks for sharing :)
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  8. 11-25-2019, 07:41 PM
    Quote Originally Posted by Eternal View Post
    It's amusing that you'd be getting over a 3 million point bonus by that round, and it'd take enough time to tally the bonus that you could have a drink or eat half of a sandwich...Eventually the amount of time you'd be playing would be completely dominated by waiting for the bonus tally!


    RTM REPLY - kind of like how eventually the amount of time you spend actually playing "Burgertime" is dwarfed by the waiting time due to the extreme slow speeds of the enemies.

    True story...when Bryan Wagner set the arcade WR at "Burgertime" at ACAM he simultaneously...right next to it...set a second arcade record on "Rolling Thunder" !! I think that is the only time in TG history where two completely separate arcade records were achieved at the same time by the same person.
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  9. 11-25-2019, 07:51 PM
    I do have some timings for the scoring rate. Basically, in my game I was crossing the bridge for the bonus every 6 rounds. Below are some of the times between bridge crossings for roughly the last 200 rounds. The ones that aren't 6 rounds apart are where I messed up and had to play through more rounds to get back on pattern.

    I just watched one bonus round and it took about 12 seconds to count 19 bonus flags so, it's roughly 2/3 second per flag to be counted. The number of flags is based on the round number, so for example, round 536 would be 10x50K+3x10K+6x1K = 19 flags, round 652 would be 13x50K+0x10K+2x1K = 15 flags, and something like round 1448 would be 28*50K+4*10K+8*1K = 40 flags.

    r536 1m 26s
    r542 1m 27s
    r548 1m 27s
    r554 1m 29s
    r567 2m 15s
    r577 2m 09s
    r586 1m 57s
    r592 1m 29s
    r598 1m 28s
    r604 1m 34s
    r610 1m 30s
    r616 1m 22s
    r622 1m 24s
    r628 1m 26s
    r634 1m 32s
    r640 1m 32s
    r646 1m 33s
    r652 1m 26s
    r658 1m 27s
    r664 1m 28s
    r670 1m 27s
    r676 1m 25s
    r682 1m 28s
    r688 1m 31s
    r694 1m 28s
    r700 1m 29s
    r706 1m 24s
    r712 1m 27s
    r718 1m 27s
    r724 1m 31s
    r730 1m 38s
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  10. 11-26-2019, 08:01 AM
    Welcome back Mark Longridge to Twin Galaxy and Happy Thanksgiving to your family and friends.
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