# Drops

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**Drops**offer players the chance to receive special items when completing tasks. A player starts to receive drops when they reach level three.

When a player receives a drop, they will be alerted via a notification in the top right corner of the screen, if they are using the website. Alternatively, a notification will appear briefly at either the top or bottom of the screen, if they are using the Android or iOS mobile app (depending on the version they are using). On the website, players can find all dropped items in the Inventory section of the toolbar, under the Market tab (direct link). On the mobile apps, players can find all dropped items on the Items page under the Inventory section of the menu.

## Types of DropsEdit

There are three types of drops a player can receive:

Eggs, Hatching Potions, and Food can also be purchased in the Market with gems. Saddles - used to instantly raise a pet into a mount - are not available as drops but can be purchased in the Market with gems or received as a daily check-in prize.

Quest scrolls may sometimes appear to drop, but they cannot be obtained via the drops system. They are given to players at specific points during the game, such as when the player reaches a certain level, so it may seem as if the scroll has "dropped" after task completion.

### Drops in Collection QuestsEdit

When participating in a collection quest, each time a player completes a Habit, To-Do, or Daily, they also have a random chance of earning special drops that contribute towards completing the quest. These quest drops cannot be bought or sold, do not produce pets or mounts, and do not appear in the player's inventory. However, on the website, the player receives a notification when a quest drop is earned, and the number of drops received can be viewed at any time by hovering over the quest progress (crosshair) icon in the website toolbar. Additionally, after a player's Cron has run, their party page will display a tally of how many items they have collected. Quest drops are not restricted by the drop-cap (see below), and players who are below level three can still receive collection quest drops. See the Quests page for more details.

## UsesEdit

Drops serve as the main method for accumulating in-game pets and mounts. Unwanted drops can be sold back to Alexander the Merchant in exchange for 1-5 gold. Drops can also be bought from Alexander the Merchant for one to five gems, depending on the item.

Unwanted drops can provide a useful backup of "moveable wealth." Drops are not lost if a player dies or uses the Orb of Rebirth, so they can be used to replenish gold after death or rebirth. A handful of eggs or potions can be sold to finance an urgently needed health potion.

## Drop-CapEdit

There is a maximum number of drops each player can receive per day. This limit is called the drop-cap. The drop-cap does not apply to quest drops.

To view your drop-cap and the number of drops you have received so far that day, you can visit the Data Display Tool from the "Data" menu in the toolbar.The default drop-cap is 5; this is increased by 1 for every 25 points of Perception a player has. A player with a PER of 100, for example, would have a daily drop-cap of 9. It is also increased by 1 for every contributor tier a player has. Since, as mentioned above, quest scrolls are not part of the drop system, you cannot influence when you receive a quest scroll by increasing your Perception (to raise your drop-cap).

A player can also increase their drop-cap by subscribing. Subscribing doubles a player's drop-cap, meaning the default drop-cap for subscribers is 10. Therefore, a subscriber with 100 PER and no contributor tiers would have a drop-cap of 18.

## Drop Type ProbabilityEdit

The different types of drops have different probabilities, governed by a random number generator (RNG). The numbers below are simply the chances of any one drop giving a certain item. Due to the random nature of drops, individual players may receive some items more or less frequently than these numbers might suggest.

- 40% chance that a drop will give a random food item.
- 30% chance of a random egg.
- 30% chance of a hatching potion, governed by the following probabilities:
- 40% chance of a Base, Desert, or White potion.
- 30% chance of a Red, Shade, or Skeleton potion.
- 23.33% chance of a Cotton Candy Blue, Cotton Candy Pink, or Zombie potion.
- 6.67% chance of a Golden potion. (Very rare!)

See this code for exact details.

## FrequencyEdit

Players have a random chance of receiving a drop whenever they check off Dailies, To-Dos or positive Habits. They will receive at most one drop per completed task and no more than their drop-cap each day.

The base chance is calculated according to the value (color) of the task.

- The bluest tasks start at 2% (but cap at 27%).

- New yellow tasks are about 16%.

- Red tasks cap at 27%.

That base chance is then modified by a series of percentage multipliers to create the drop chance bonus subtotal. (In other words, take the base number, then multiply it by 1.xx, where xx is the percentage being considered. 50% multiplier: 1.5 times. 100% multiplier: 2 times; double). These are as follows:

- Task difficulty: +50% for Medium, +100% for Hard
- Streak bonus on Dailies: +1% for every completed day
- Perception: +1% per point
- Contributor tiers, if any: +2.5% per tier
- Rebirth achievements, if any: +5% per achievement
- Streak achievements, if any: +0.5% per achievement
- Critical hit, if one comes up: Multiplier same as that for experience and gold
- Checklist items complete, if any: +50% per checklist item

The drop chance bonus subtotal is then fed into a diminishing return function.

### ExamplesEdit

1) A reborn (+5%) player with two contributor tiers (+5%) and ten streak achievements (+5%) would have a drop chance subtotal of 18.5% when clicking on a new task (+16%).

Bonus | Amount | Each | % Multiplier | Multiplier |
---|---|---|---|---|

Reborn | 1 | 5% | +5% | 1.05 |

Contributor tiers | 2 | 2.5% | +5% | 1.05 |

Streak achievements | 10 | 0.5% | +5% | 1.05 |

The total bonuses are multiplied (1.05 * 1.05 * 1.05) to the base task of 16%, which results in 18.5%.

2) The same player completing a Hard (+100%), dark red (+27%) task with two checklist items (+100%) would have a subtotal of 125%.

Bonus | Amount | Each | % Multiplier | Multiplier |
---|---|---|---|---|

Reborn | 1 | 5% | +5% | 1.05 |

Contributor tiers | 2 | 2.5% | +5% | 1.05 |

Streak achievements | 10 | 0.5% | +5% | 1.05 |

Hard task | 1 | 100% | +100% | 2.0 |

Checklist items | 2 | 50% | +100% | 2.0 |

The total bonuses are multiplied (1.05 * 1.05 * 1.05 * 2 * 2) to the base task of 27%, which results in 125%.

3) A different player completing a Hard (+100%), dark red (+27%) task with two checklist items (+100%) would have a subtotal of 108%.

Bonus | Amount | Each | % Multiplier | Multiplier |
---|---|---|---|---|

Hard task | 1 | 100% | +100% | 2.0 |

Checklist items | 2 | 50% | +100% | 2.0 |

The total bonuses are multiplied (2 * 2) to the base task of 27%, which results in 108%.

### Base Chance Edit

The base chance decreases as the task value increases until the task value reaches 21.27, after which the base chance begins increasing again. The exact base chance can be determined by the following formula:

Base Drop Chance = MIN(0.27, ABS(Task Value - 21.27) / 150 + .02)

"ABS" is the absolute value function: it converts all numbers to positive numbers (i.e., -25 and 25 both become 25).

"MIN" is the minimum function: it returns the smaller of the two values. In other words, the base drop chance is capped at 27%.

### Diminishing ReturnsEdit

The drop chance bonus is subject to diminishing returns. This concept from economics states that initial bonuses will have a high impact, whereas additional bonuses will slowly approach no increase of the total bonus.

Any bonus increasing the unmodified drop chance above 75% is reduced. 75% is the drop chance cap, and the increase in drop chance yielded by any particular bonus slows down as it approaches half the cap. The actual drop chance can be determined by the following formula:

Actual Drop Chance = Max * (Bonus / (Bonus + Halfway))

"Bonus" is the combined effect of all of the modifiers--the % drop chance before diminishing returns. For drops, "Max" is 75%, and "Halfway" is 37.5%.

To illustrate this, suppose you stack up modifiers such that you have a 250% chance to score a drop upon completing a task. So Max is 0.75, Bonus is 2.5, and Halfway is 0.375. Plugging that into the formula comes out to... 0.75 * (2.5 / ( 2.5 + ( 0.75 / 2 ))) ...or 65%, about a 2 in 3 chance.

Thus, it does not take much effort to reach 37.5%, a bit better than a 1 in 3 chance, but additional factors have weaker effects beyond that. Drop chances do get better and better as PER is increased, for instance, but past 37.5%, it's no longer exactly +1% per point.