Brute force a conversion formula for page numbers between 2 editions of a book

conversion_formula_brute_force.py

mapping = [
    ["Spring 1941",40,38],
    ["Part 3",54,53],
    ["My day",44,43],
    ["Fall 1941",50,49],
    ["Bombs!",176,192],
]

def difference(a,b):
    if a > b:
        return a-b
    elif b > a:
        return b-a
    return 0

def test(calc,verbose=True):
    total_error = 0
    if verbose:
        print("Name,Grey Book,Yellow Guessed,Yellow Actual,Error")
    for name,grey,yellow in mapping:
        calc_y = eval(calc.replace("g",str(grey)))
        total_error+=difference(calc_y,yellow)
        if verbose:
            print(name,grey,calc_y,yellow,calc_y-yellow)
    return total_error

tests = []
for a in range(113800,114000):
    if a % 100:
        print(a)
    a/=100000
    for b in range(-85000,-84500):
        b/=10000
        tests.append([test(f"(g*{a})+{b}",verbose=False),f"(g*{a})+{b}"])

tests.sort()

#2.7575000000000216, (g*1.1388)+-8.4301
#1.9988799999999713, (g*1.13602)-7.94
#1.8599200000000025, (g*1.13602)-7.8
#1.858920000000026, (g*1.13602)-7.801