dwm_tinymedal

TinyMedals

====== RESULTS ======
There are 3 methods for obtaining TinyMedals in the game:
    Method #1 - Randomly collecting from gate floors
	The player walks around any map looking for a 1% drop (universal 1% across all maps). This is done in the Beginner gate,
	because the player can confirm TinyMedals without collecting them, because there are no gold drops to obfuscate what the item
	is. Every floor has between 2 to 4 items in the Beginner gate
    Method #2 - Random reward from foreign trainers (non-special trainers, the M/F warriors)
	The player has to use a BookMark to save the game, then enter a new floor, use a Repellent, then roll a 15.6% chance
	to spawn a warrior trainer. Then, BookMark again, defeat the trainer with two item slots available, then roll a 1/37 (2.7%)
	chance to get a TinyMedal. If not, reset and re-do the fight
    Method #3 - Home world available
	6 of the 8 TinyMedals from town are retrieved when available. The other 2 are far too cumbersome to consider

====== MANIPULATION ======
No manipulation appears to be possible. Based on trials and testing, even on emulator and being frame perfect, different save files result in different map loadouts for the same map. For example, a savefile from the beginning of the game, using the same exact inputs (via Lua script) to enter the gate, will result in a different map layout than using a savefile from later in the game. The savefile input routes are somewhat consistent among themselves, but this is under frame perfect conditions only - in real time, there'd be even more possibilities of outcomes. Theoretically the player could maybe try to manipulate TinyMedals right away, but there is much synergy to be had from having enough money and monsters from the mid to late game to use Repellents to run from fights effectively. Randomness changes per frame in this game, and also changes slightly based on inputs (mashing inputs causes the game to lag, offsetting randomness calculations)

====== METHODOLOGY ======
Method #1 - Randomly collecting from gate floors
Every map in the game has a 1% chance of any item being a TinyMedal. There is no fluctuation whatsoever in what map is chosen. However, maps do have differing amounts of number of items that spawn, according to this table and the map ID (https://i.imgur.com/dXiWThJ.png). The first N row represents guaranteed items per floor, and the second represents a random possible extra number of items up to that amount. So earlier map IDs have more guaranteed items, but less random items, then that ratio changes. At best 6 items can appear

When TinyMedals spawn, they appear as regular gold drops. Because of this, the Beginner gate is very special, because it is the only map where there are no gold drops. Meaning, the player can identify a TinyMedal on the map with 100% accuracy without having to walk over it to confirm if its either gold or a TinyMedal. For this reason alone, the Beginner gate is chosen, even if the number of items per floor is slightly less

------------------------------------------------------------------------

Method #2 - Random reward from foreign trainers
After defeating a non-special trainer, provided the player has two empty inventory spaces, the player will get a WarpWing and a random item

First the player must spawn one of these trainers. When walking to another floor, the percent spawn chance is dictated by this table and the map ID (https://i.imgur.com/YP7NDvo.png). At best, the endgame maps provide a 40/256 (15.6%) chance when walking to a floor to spawn one of these trainers

Next, the player would need to fight the battle, win, then roll the two items and check if the second is a TinyMedal

The following shows the results of 10,000 trials. These results show 37 possible items with what appears to be a randomly even chance of each. TinyMedals here actually hit the estimated 1 in 37 (~2.7%)

ITEM        PERCENT
Porkchop    3.01
WorldDew    2.94
Lovewater   2.93
LifeAcorn   2.89
SnowStaff   2.87
Rib         2.86
BeNiceBK    2.82
AwakeSand   2.81
Sirloin     2.81
MysticNut   2.80
BeefJerky   2.78
QuestBK     2.78
Bad Meat    2.77
Potion      2.77
Sagestone   2.76
WindStaff   2.75
WorldLeaf   2.75
BoltStaff   2.74
Elfwater    2.74
CheaterBK   2.73
TinyMedal   2.73
Herb        2.71
DEFseed     2.70
MistStaff   2.68
INTseed     2.67
Moonherb    2.65
Antidote    2.63
Skybell     2.60
Laurel      2.59
WarpWing    2.58
AGLseed     2.57
ATKseed     2.57
HorrorBK    2.56
SmartBK     2.48
LavaStaff   2.48
FireStaff   2.40
ComedyBK    2.09

------------------------------------------------------------------------
Method #3 - Home world available

The following TinyMedals are available:

1) The fisherman's pot on the monster farm (after you complete Beginner)
2) The first barrel in the third row in the monster arena
3) The first pot in the Bazaar; shopkeeper's place
4) Dresser in the little girl's house
5) The chest of drawers in the Monster Stable
6) The fisherman's pot on the monster farm (after the first tree-growth)
7) Show the Queen a GoldGolem when she asks to see it.
8) Show the Queen a Divinegon when she asks to see it.

The first 6 are retrieved. Although GoldGolem is part of the party in this route, #7 isn't viable because it requires showing the Queen 14 other unique monsters, many of which are very cumbersome to breed


===== COLOSSEUM =====
I originally believed the Colosseum could award a TinyMedal. I performed 10,000 trials to confirm that this is not the case:

ITEM       PERCENT
LavaStaff  13.17
MistStaff  12.91
FireStaff  12.86
SnowStaff  12.29
Rib         6.80
Elfwater    6.20
Sirloin     6.17
WorldLeaf   6.08
Sagestone   6.05
WindStaff   5.99
WorldDew    5.92
BoltStaff   5.56