🔥Migration: Burning

Introduction

Keepers from Season 1 don't have to participate, but their efforts from the 5 days that Season 1 existed will be recognised. A Keeper may choose to burn their Season 1 Munchables to guarantee a payout of Munch Points that will be recognised for Season 2.

This mechanism works by valuing the Keeper's Munchables based on their hatched state and rarity. The burn is a 1-time operation. The calculation methodology is explained below.

Calculate the Adjusted Rarity Factor

The logarithmic rarity factors for each type are calculated using the total number of each Munchable type from season 1:

$$\begin{align*} \text{Unrevealed} & : \log(7462) = 8.918 \\ \text{Common} & : \log(12729) = 9.452 \\ \text{Rare} & : \log(4561) = 8.425 \\ \text{Epic} & : \log(1766) = 7.476 \\ \text{Legendary} & : \log(394) = 5.976 \\ \text{Mythic} & : \log(51) = 3.932 \\ \end{align*}$$

Allocate Points Based on Adjusted Rarity Factor

First, we calculate the sum of all adjusted rarity factors:

$$8.918 + 9.452 + 8.425 + 7.476 + 5.976 + 3.932 = 44.179$$

Next, we calculate the points allocated to each type based on their adjusted rarity factor proportion of the total pool of 50,000,000 points (this is 5 days of rewards using the Season 2 daily payout of Munch Points of 10,000,000):

$$\text{Points for Type} = \frac{\text{Adjusted Rarity Factor}}{\text{Total Adjusted Rarity Factor}} \times 50000000$$

Calculating the points for each type:

$$\begin{align*} \text{Unrevealed} & : \frac{8.918}{44.179} \times 50000000 = 10,092,520.66 \\ \text{Common} & : \frac{9.452}{44.179} \times 50000000 = 10,696,943.86 \\ \text{Rare} & : \frac{8.425}{44.179} \times 50000000 = 9,535,374.15 \\ \text{Epic} & : \frac{7.476}{44.179} \times 50000000 = 8,461,536.87 \\ \text{Legendary} & : \frac{5.976}{44.179} \times 50000000 = 6,763,767.11 \\ \text{Mythic} & : \frac{3.932}{44.179} \times 50000000 = 4,449,857.36 \\ \end{align*}$$

Payout for One of Each Type

To calculate the payout for one of each type, we divide the total points by the number of each type:

$$\begin{align*} \text{Unrevealed} & : \frac{10,092,520.66}{7462} = 1,352.52 \\ \text{Common} & : \frac{10,696,943.86}{12729} = 840.36 \\ \text{Rare} & : \frac{9,535,374.15}{4561} = 2,090.63 \\ \text{Epic} & : \frac{8,461,536.87}{1766} = 4,791.36 \\ \text{Legendary} & : \frac{6,763,767.11}{394} = 17,166.92 \\ \text{Mythic} & : \frac{4,449,857.36}{51} = 87,252.24 \\ \end{align*}$$

This shows the individual payout for burning a Munchable based on its type. Note that Unrevealed Munchables are paid slightly higher than Commons to respect the fact that their rarity was undetermined.