import random
import math
 
# Parameters
d = 6
cha = 5
 
def roll(Y,n=1):
    if n==0:
        return []
    elif n==1:
        return [random.randint(1,Y)]
    else:
        return roll(Y)+roll(Y,n-1)
 
def reroll(Y,n,c):
    r = sorted(roll(Y,n))
    c = min(c,len([x for x in r if x<=3])) # Number of rerolls
    R = roll(Y,c)+r[c:]
 
    return r,R
 
rep = 1000
data =[]
for n in range(40,41):
    r,R=[],[]
    for i in range(rep):
        a,b = reroll(d,n,cha)
        r+=a
        R+=b
    avgr = sum(r)/float(rep)
    avgR = sum(R)/float(rep)
    inc = (avgR/avgr-1)*100
 
    print('{}\t{:.2f}\t{:.2f}\t{:.2f}'.format(n,avgr,avgR,inc))
# your code goes here

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