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--- treasure_probability_curves_twildish [2021/08/18 21:42] – created wylem
+++ treasure_probability_curves_twildish [2024/07/14 02:32] (current) – wylem
@@ Line 1: / Line 1: @@
-====== Treasure probability curves (TWildish) ======
+====== Treasure probability curves (Twildish) ======
 With weighted treasure randomizations (''Tpro'' and ''Twildish''), the contents of treasure chests and quest rewards are selected based on a weighted probability, which differs according to their location.
@@ Line 7: / Line 7: @@
   * A random item is then selected from the options within that tier. (See [[item stats tables]] for item tier information.)
-The following are the weights for ''Twildish''. The ''Tpro'' weights are available [[treasure_probability_curves|here]].
+''Twildish'' applies a transformation to the ''Tpro'' weights in order to boost item quality, as follows:
+  * new tier 1 weight = (old tier 1) * 7/8
+  * new tier 2 weight = (old tier 1) * 1/8 + (old tier 2) * 6/8
+  * new tier 3 weight = (old tier 2) * 2/8 + (old tier 3) * 5/8
+  * new tier 4 weight = (old tier 3) * 3/8 + (old tier 4) * 4/8
+  * new tier 5 weight = (old tier 4) * 4/8 + (old tier 5) * 3/8
+  * new tier 6 weight = (old tier 5) * 5/8 + (old tier 6) * 2/8
+  * new tier 7 weight = (old tier 6) * 6/8 + (old tier 7) * 1/8
+  * new tier 8 weight = (old tier 7) * 7/8 + (old tier 8)
-===== Untrapped chests =====
+The following are the approximate weights for ''Twildish'', calculated based on the formulas above. The ''Tpro'' weights are available [[treasure_probability_curves|here]].
-Each untrapped chest receives its item based on the area where the chest is found.
+//Note that ''Tmaxtier:6'' will prevent tier 7+ items from appearing in regular (non-MIAB) chests. If a chest would contain a tier 7+ item, instead its tier is randomly re-selected.//
+===== Regular chests =====
+Each chest receives its item based on the area where the chest is found.
+<sortable>
 ^ Area ^ Tier 1 ^ Tier 2 ^ Tier 3 ^ Tier 4 ^ Tier 5 ^ Tier 6 ^ Tier 7 ^ Tier 8 ^
 | Baron Town | 35 | 20 | 17.50 | 16.50 | 9.75 | 1.25 | 0 | 0 |
 | Baron Town Weapon/Armor Shop | 8.75 | 8.75 | 30.63 | 29.38 | 16.25 | 6.25 | 0 | 0 |
 | Chocobo Forests | 8.75 | 16.25 | 23.75 | 21.25 | 16.75 | 11.75 | 1.50 | 0 |
-| Mist Cave | 0 | 0 | 25 | 35 | 26.75 | 11.75 | 1.50 | 0 |
+| Mist Cave | 0 | 0 | 21.88 | 33.13 | 28.63 | 14.88 | 1.50 | 0 |
 | Village Mist | 17.50 | 25 | 26.25 | 20.25 | 9.75 | 1.25 | 0 | 0 |
 | Kaipo | 8.75 | 23.75 | 32.50 | 24 | 9.75 | 1.25 | 0 | 0 |
 | Watery Pass | 8.75 | 16.25 | 23.75 | 23.75 | 17.38 | 8.63 | 1.50 | 0 |
-| Waterfall/Lake | 0 | 0 | 25 | 35 | 26.75 | 11.75 | 1.50 | 0 |
+| Waterfall/Lake | 0 | 0 | 21.88 | 33.13 | 28.63 | 14.88 | 1.50 | 0 |
 | Damcyan | 35 | 20 | 17.50 | 16.50 | 9.75 | 1.25 | 0 | 0 |
 | Antlion Cave | 26.25 | 18.75 | 17.50 | 20 | 14.38 | 3.13 | 0 | 0 |
@@ Line 41: / Line 54: @@
 | Cave Eblan | 8.75 | 8.75 | 27.50 | 27.50 | 18.13 | 9.38 | 0 | 0 |
 | Upper Bab-il | 8.75 | 8.75 | 24.38 | 28.13 | 20.63 | 9.38 | 0 | 0 |
-| Upper Bab-il (after fall) | 8.75 | 8.75 | 24.38 | 28.13 | 20.63 | 9.38 | 0 | 0 |
+| Upper Bab-il (after fall) | 0 | 7.5 | 24.38 | 28.13 | 20.63 | 11.88 | 7.5 | 0 |
 | Tomra | 8.75 | 16.25 | 30 | 29 | 14.75 | 1.25 | 0 | 0 |
 | Smithy House | 8.75 | 8.75 | 21.25 | 26.25 | 22.50 | 12.50 | 0 | 0 |
@@ Line 52: / Line 65: @@
 | Giant of Bab-il | 0 | 7.50 | 21.25 | 26.25 | 24.75 | 17.25 | 3 | 0 |
 | Lunar Subterrane/Core | 0 | 7.50 | 18.13 | 19.38 | 25.38 | 26.63 | 3 | 0 |
+</sortable>
-===== Trapped chests =====
+===== MIABs =====
-Trapped chest rewards have their own distinct weightings:
+Monster-in-a-box rewards have their own distinct weightings:
-^ Trapped chest location ^ Tier 1 ^ Tier 2 ^ Tier 3 ^ Tier 4 ^ Tier 5 ^ Tier 6 ^ Tier 7 ^ Tier 8 ^
+<sortable>
-| Tower of Zot | 0 | 0 | 0 | 5 | 20 | 32.50 | 24.38 | 18.13 |
+^ Location ^ Tier 1 ^ Tier 2 ^ Tier 3 ^ Tier 4 ^ Tier 5 ^ Tier 6 ^ Tier 7 ^ Tier 8 ^
-| Eblan | 0 | 0 | 0 | 0 | 11.25 | 26.25 | 26.25 | 36.25 |
+| Tower of Zot | 0 | 0 | 0 | 5 | 20 | 32.50 | 25 | 17.50 |
-| Cave Eblan | 0 | 0 | 0 | 10 | 25 | 31.25 | 20 | 13.75 |
+| Eblan | 0 | 0 | 0 | 0 | 11.25 | 27.50 | 30.63 | 30.63 |
-| Lower Bab-il | 0 | 0 | 0 | 15 | 31.88 | 31.38 | 11 | 10.75 |
+| Cave Eblan | 0 | 0 | 0 | 10 | 25 | 31.25 | 20.63 | 13.13 |
-| Upper Bab-il | 0 | 0 | 0 | 5 | 27.50 | 41.25 | 12.50 | 13.75 |
+| Lower Bab-il | 0 | 0 | 0 | 15 | 31.88 | 31.38 | 11.25 | 10.50 |
-| Cave of Summons | 0 | 0 | 0 | 2.50 | 19.38 | 36.88 | 27.50 | 13.75 |
+| Upper Bab-il | 0 | 0 | 0 | 5 | 27.50 | 41.25 | 13.13 | 13.13 |
-| Sylvan Cave | 0 | 0 | 0 | 2.50 | 13.75 | 26.25 | 25.63 | 31.88 |
+| Cave of Summons | 0 | 0 | 2.50 | 2.50 | 19.38 | 36.88 | 28.13 | 13.13 |
-| Giant of Bab-il | 0 | 0 | 0 | 0 | 11.25 | 26.25 | 25.63 | 36.88 |
+| Sylvan Cave | 0 | 0 | 0 | 2.50 | 13.75 | 26.25 | 26.88 | 30.63 |
-| Lunar Path | 0 | 0 | 0 | 0 | 15 | 35 | 31.25 | 18.75 |
+| Giant of Bab-il | 0 | 0 | 0 | 0 | 11.25 | 27.5 | 30.63 | 30.63 |
-| Lunar Subterrane/Core | 0 | 0 | 0 | 0 | 3.75 | 11.25 | 21.25 | 63.75 |
+| Lunar Path | 0 | 0 | 0 | 0 | 15 | 35 | 32.50 | 17.50 |
+| Lunar Subterrane/Core | 0 | 0 | 0 | 0 | 3.75 | 11.25 | 21.25 | 63.75 |
+</sortable>
 ===== Misc quests =====
-Potential key item locations that do not award a key item (other than trapped chests, which are described above) receive rewards based on the weighting below. ("Ungated" quests are quests that can be completed without access to any key items.)
+Potential key item locations that do not award a key item (other than MIABs, which are described above) receive rewards based on the weighting below. ("Ungated" quests are quests that can be completed without access to any key items.)
+<sortable>
 ^  ^ Tier 1 ^ Tier 2 ^ Tier 3 ^ Tier 4 ^ Tier 5 ^ Tier 6 ^ Tier 7 ^ Tier 8 ^
 | Quests | 0 | 0 | 0 | 20 | 42.50 | 37.50 | 0 | 0 |
 | Gated Quests | 0 | 0 | 0 | 5 | 20 | 35 | 31.25 | 8.75 |
 | Moon Quests | 0 | 0 | 0 | 0 | 11.25 | 31.25 | 39.38 | 18.13 |
+</sortable>

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