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Old March 3, 2011, 16:12   #11
Derakon
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My nightlies warrior got a +14 and +16 ring; I'm certain the +16 is the biggest I've ever seen but don't remember if I'd managed a +14 before. I think the roller is out of whack.
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Old March 3, 2011, 17:27   #12
Raxmei
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Originally Posted by Timo Pietilš View Post
Which version? In 3.2.0 getting RoS over +13 is extremely rare. Getting +21 would be d*mn near impossible.
3.2.0. That character had a number of pieces of equipment that now that I think of it should have been terribly uncommon. I didn't consider it worth posting about at the time.

Code:
  [Character Equipment]

a) The Great Axe of Eonwe (5d4) (+15,+18) [+8] (+2) (charging)
     Dropped by a Great Wyrm of Chaos at 3950 feet (level 79).
     
     +2 strength, intelligence, wisdom, dexterity, constitution,
     charisma.
     Slays evil creatures, undead, orcs.
     *Slays* demons.
     Branded with frost.
     Provides immunity to cold.
     Provides resistance to cold, fear.
     Cannot be harmed by acid, electricity, fire, cold.
     Blessed by the gods.  Prevents paralysis.  Grants the ability to
     see invisible things.  
     
     When activated, it removes all non-unique monsters within 20
     squares, dealing you damage in the process.
     Takes 3900 turns to recharge at your current speed.
     Your chance of success is 92.4%
     
     Combat info:
     5.8 blows/round.
     Average damage/round: 489.2 vs. evil creatures, 574.4 vs. undead,
     574.4 vs. orcs, 574.4 vs. creatures not resistant to cold, 744.9
     vs. demons, and 403.9 vs. others.
     
b) The Light Crossbow 'Cubragol' (x3) (+10,+14) (+10)
     Dropped by an Ancient white dragon at 3250 feet (level 65).
     
     +10 speed.
     Branded with flames.
     Provides resistance to fire.
     Cannot be harmed by acid, electricity, fire, cold.
     
c) The Ring of Power 'Narya' (+6,+6) (+1)
     Dropped by a Great Ice Wyrm at 4500 feet (level 90).
     
     +1 strength, intelligence, wisdom, dexterity, constitution,
     charisma, speed.
     Provides immunity to fire.
     Provides resistance to fire, fear.
     Cannot be harmed by acid, electricity, fire, cold.
     Sustains strength, constitution.
     Slows your metabolism.  Speeds regeneration.  Prevents paralysis. 
     Grants telepathy.  Grants the ability to see invisible things.  
     
     When activated, it grants you protection from evil for 1d25 plus 3
     times your character level turns.
     Takes 795 to 1560 turns to recharge at your current speed.
     Your chance of success is 84.5%
     
d) an Alexandrite Ring of Speed (+21)
     Dropped by a Great Hell Wyrm at 4550 feet (level 91).
     
     +21 speed.
     
e) The Elfstone 'Elessar' (+7,+7) [+10] (+2)
     Found lying on the floor at 4100 feet (level 82).
     
     +2 strength, wisdom, charisma, speed.
     Provides resistance to fire, poison, fear.
     Cannot be harmed by acid, electricity, fire, cold.
     
     When activated, it heals 500 hit points.
     Takes 780 turns to recharge at your current speed.
     Your chance of success is 87.0%
     
f) The Arkenstone of Thrain
     Dropped by an Enchantress at 3200 feet (level 64).
     
     Provides resistance to light, dark.
     Cannot be harmed by acid, electricity, fire, cold.
     Sustains your life force.  Grants the ability to see invisible
     things.  
     
     When activated, it detects treasure, traps, doors, stairs, and all
     creatures nearby.
     Takes 120 to 234 turns to recharge at your current speed.
     Your chance of success is 89.1%
     
     Radius 3 light.
g) The Adamantite Plate Mail 'Soulkeeper' (-4) [90,+20] (+2)
     Dropped by a Great Wyrm of Law at 3900 feet (level 78).
     
     +2 constitution.
     Provides resistance to acid, cold, fear, dark, confusion, nexus,
     nether, chaos.
     Cannot be harmed by acid, electricity, fire, cold.
     Sustains constitution.
     Sustains your life force.  
     
     When activated, it heals 1000 hit points.
     Takes 1731 turns to recharge at your current speed.
     Your chance of success is 83.0%
     
h) an Elven Cloak of Protection [6,+23] (+2 stealth)
     Found lying on the floor at 4350 feet (level 87).
     
     +2 stealth.
     Provides resistance to shards.
     Cannot be harmed by acid, electricity, fire, cold.
     
i) The Small Metal Shield of Thorin [5,+25] (+4)
     Dropped by a Young black dragon at 2300 feet (level 46).
     
     +4 strength, constitution.
     Provides immunity to acid.
     Provides resistance to fear, sound, chaos.
     Cannot be harmed by acid, electricity, fire, cold.
     Prevents paralysis.  
     
j) The Metal Cap of Celebrimbor [3,+18] (+3 searching)
     Dropped by a Cave troll at 2600 feet (level 52).
     
     +3 intelligence, dexterity, charisma.
     +15% to searching.
     Provides resistance to acid, fire, shards, disenchantment.
     Cannot be harmed by acid, electricity, fire, cold.
     
k) The Set of Gauntlets of Eol [3,+14] (+3)
     Dropped by an Ancient multi-hued dragon at 3250 feet (level 65).
     
     +3 intelligence.
     Provides immunity to fire.
     Provides resistance to lightning, poison, dark.
     Cannot be harmed by acid, electricity, fire, cold.
     Feather Falling.  Prevents paralysis.  Aggravates creatures
     nearby.  
     
     When aimed, it fires a mana bolt with damage 12d8.
     Takes 120 to 234 turns to recharge at your current speed.
     Your chance of success is 88.1%
     
l) The Pair of Leather Boots 'Dal-i-thalion' [2,+15] (+5)
     Dropped by Itangast the Fire Drake at 2200 feet (level 44).
     
     +5 dexterity, speed.
     Provides resistance to confusion, nether, chaos.
     Cannot be harmed by acid, electricity, fire, cold.
     Sustains constitution.
     Prevents paralysis.  
     
     When activated, it cures you of fear and poison.
     Takes 19 turns to recharge at your current speed.
     Your chance of success is 94.7%
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Old March 3, 2011, 17:56   #13
Timo Pietilš
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Quote:
Originally Posted by Raxmei View Post
Quote:
Originally Posted by Timo Pietilš View Post
Which version? In 3.2.0 getting RoS over +13 is extremely rare. Getting +21 would be d*mn near impossible.
3.2.0. That character had a number of pieces of equipment that now that I think of it should have been terribly uncommon. I didn't consider it worth posting about at the time.

Code:
  [Character Equipment]
Nothing out of ordinary there except that ring. It must have got a lot of supercharges to get that high value. Someone familiar with the code should calculate how rare that actually is.
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Old March 3, 2011, 18:49   #14
Derakon
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I consider having Eonwe, Cubragol, and Narya to be out of the ordinary. IMO any given game should find maybe one out of that set on average.
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Old March 3, 2011, 19:21   #15
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Originally Posted by Derakon View Post
I consider having Eonwe, Cubragol, and Narya to be out of the ordinary. IMO any given game should find maybe one out of that set on average.
Even in 3.0 I tended to find the equivalent in most winning games, and artifacts are substantially more prevalent in 3.1+. Now that you can't help tripping over powerful vaults, that set is quite ordinary. If I play a char to CL50, I am disappointed if I do not find 2 elven rings, and I half expect to find all 3.

I guess a diving game in 3.0- with autoscum off might produce less in the way of artifacts. Could that be what you are remembering?

I clicked on Angband dumps, set to show winners, went to #500 and looked for an old one. http://angband.oook.cz/ladder-show.php?id=129 That's 2.9.3, and better stuff than the dump in this thread.
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Old March 3, 2011, 19:43   #16
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Hm, maybe my memory is faulty then. I mostly just remember not finding the really big artifacts at all often, and all three of those are what I'd call "big artifacts". Oh well.
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Old March 3, 2011, 21:21   #17
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Originally Posted by PowerDiver View Post
Even in 3.0 I tended to find the equivalent in most winning games, and artifacts are substantially more prevalent in 3.1+. Now that you can't help tripping over powerful vaults, that set is quite ordinary. If I play a char to CL50, I am disappointed if I do not find 2 elven rings, and I half expect to find all 3.

I guess a diving game in 3.0- with autoscum off might produce less in the way of artifacts. Could that be what you are remembering?

I clicked on Angband dumps, set to show winners, went to #500 and looked for an old one. http://angband.oook.cz/ladder-show.php?id=129 That's 2.9.3, and better stuff than the dump in this thread.
Kind of hard to get a good comparison unless you have kill counts. I have no idea how long that player spent scumming for those items. They could have spent 4-5 million turns on dlevel 99 alone.
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Old March 4, 2011, 01:13   #18
myshkin
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Originally Posted by Timo Pietilš View Post
Nothing out of ordinary there except that ring. It must have got a lot of supercharges to get that high value. Someone familiar with the code should calculate how rare that actually is.
This is not a simple calculation. The value for a speed ring is 5 + MB(5) + supercharges. MB(5) is a pseudo-normal distribution capped at four standard deviations. At dlvl 91, where his ring dropped, its mean is 3 with probability 71/128 and 4 with probability 57/128, while its standard deviation is 1 with probability 3/4 and 2 with probability 1/4. The code then supercharges the value by one every time it passes a one-in-two test.

I am presently too lazy to run an exact calculation, but some Monte Carlo tests indicate that the probability that a speed ring dropped on dlvl 91 has pval >= 21 is about 0.0002. (By comparison, P(pval >= 15 | dlvl 91) is about 0.0136.)
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Old March 4, 2011, 09:13   #19
Timo Pietilš
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I am presently too lazy to run an exact calculation, but some Monte Carlo tests indicate that the probability that a speed ring dropped on dlvl 91 has pval >= 21 is about 0.0002. (By comparison, P(pval >= 15 | dlvl 91) is about 0.0136.)
So one in 50000 speed rings get that value. I'd say that's pretty rare :-)
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Old March 4, 2011, 18:42   #20
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So one in 50000 speed rings get that value. I'd say that's pretty rare :-)
I think you miscounted the 0s and it is 1 in 5000. Still pretty rare.
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