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Print the number of zeros for the years from 0 to 128 in the number systems from base 2 to base 128. Guess which Birthday has the most zeros!
import math
# Definition
class YearZeros:
year = 0
zeros = 0
base = set() # Store the year inf form of 'all' (2 to 128) bases here. E.g. year 4 would be
# Declaration
result = []
# Number characters
characters = [u"0",u"1",u"2",u"3",u"4",u"5",u"6",u"7",u"8",u"9",u"a",u"b",u"c",u"d",u"e",u"f",u"g",u"h",u"i",u"j",u"k",u"l",u"m",u"n",u"o",u"p",u"q",u"r",u"s",u"t",u"u",u"v",u"w",u"x",u"y",u"z",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600",u"\U0001F600"]
def getNumber(decimalNumber, base, characters):
remainder = -1
denominator = decimalNumber
goOn = True
result = u""
while goOn:
remainder = denominator % base
denominator = int(math.floor(denominator / base))
result = characters[remainder] + result
if denominator == 0:
goOn = False
#print u"From: " + str(decimalNumber).encode('utf-8') + u" to: " + str(result).encode('utf-8')
return result
#getNumber(5, 2, characters)
#getNumber(20, 10, characters)
#getNumber(20, 16, characters)
#getNumber(40, 56, characters)
# Initialize
for year in range(0, 129):
#print year
result.append(YearZeros())
result[year].year = year
result[year].base = []
# Represent the year in all bases and store it in the base array as a string.
for base in range (2, 129):
for year in range (0, 129):
result[year].base.append(getNumber(year, base, characters))
# Sum zeros
for year in range(0, 129):
for base in range (0, 127):
for char in result[year].base[base]:
if char == u"0":
result[year].zeros += 1
# Print results
print "year;zeros;numbers"
for year in range(0, 129):
print str(year) + ";" + str(result[year].zeros) + ";" + str(result[year].base)
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