How Many Lands Should I Use In My EDH Deck?

# How Many Lands Should I Use In My EDH Deck?
# Script in Python written by Gabriel G.S.

# This script calculates a baseline number of lands you should run in your EDH deck based on your deck's converted mana cost.
# I use an equation derived from the work of Mr. Frank Karsten for 60-card decks and apply it for 99-card decks:
# y = 4.6071x + 24.3465, where x is the converted mana cost of the deck and y yields the number of lands the deck should use.

# Step 1: Calculate the average converted mana cost of your deck (including your commander) and type it in the next row:
avg_cmc = 3.03 # This example is from my Sidisi, Brood Tyrant deck @ 2020.03.01

# Step 2: Type the converted mana cost of your commander in the next row:
comm_cmc = 5 # This example is from my Sidisi, Brood Tyrant deck @ 2020.03.01
# This formula calculates the average converted mana cost of your deck without your commander
deck_avg_cmc = ( avg_cmc * 100 - comm_cmc ) / 99

# Step 3: The commander's converted mana cost has to be accounted for in calculating the number of lands/cheap mana rocks/cheap land fetch spells you should use.
# The next formula calculates the adjusted average converted mana cost of your deck by applying the following weights:
deck_weight = 7/8
comm_weight = 1/8
adj_avg_cmc = deck_weight * deck_avg_cmc + comm_weight * comm_cmc
# The assumption is that the commander is the 8th card in your hand, so I chose to apply the 1/8 weight to the commander's converted mana cost.

# Step 4: Apply the equation with the deck's variables:
m = 4.6071
b = 24.3465
x = adj_avg_cmc
y = m * x + b
# The recommended number of lands is rounded to the nearest integer.
lands = int(round(y,0))

# Step 5: Print the results.
print("The deck's average converted mana cost is " + str(round(avg_cmc,2)))
print("The commander's converted mana cost is " + str(comm_cmc))
print("The adjusted average converted mana cost is " + str(round(adj_avg_cmc,2)))
print("The recommended number of lands for this deck is " + str(lands))

# Script last updated on 2020.03.03
# =^.^= Happy Cat MTG