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```BASE2 = "01"
BASE10 = "0123456789"
BASE16 = "0123456789ABCDEF"
BASE62 = "ABCDEFGHIJKLMNOPQRSTUVWXYZ0123456789abcdefghijklmnopqrstuvwxyz"

def baseconvert(number,fromdigits,todigits):
""" converts a "number" between two bases of arbitrary digits

The input number is assumed to be a string of digits from the
fromdigits string (which is in order of smallest to largest
digit). The return value is a string of elements from todigits
(ordered in the same way). The input and output bases are
determined from the lengths of the digit strings. Negative
signs are passed through.

decimal to binary
>>> baseconvert(555,BASE10,BASE2)
'1000101011'

binary to decimal
>>> baseconvert('1000101011',BASE2,BASE10)
'555'

integer interpreted as binary and converted to decimal (!)
>>> baseconvert(1000101011,BASE2,BASE10)
'555'

base10 to base4
>>> baseconvert(99,BASE10,"0123")
'1203'

base4 to base5 (with alphabetic digits)
>>> baseconvert(1203,"0123","abcde")
'dee'

base5, alpha digits back to base 10
>>> baseconvert('dee',"abcde",BASE10)
'99'

decimal to a base that uses A-Z0-9a-z for its digits
>>> baseconvert(257938572394L,BASE10,BASE62)
'E78Lxik'

..convert back
>>> baseconvert('E78Lxik',BASE62,BASE10)
'257938572394'

binary to a base with words for digits (the function cannot convert this back)
>>> baseconvert('1101',BASE2,('Zero','One'))
'OneOneZeroOne'

"""

if str(number)[0]=='-':
number = str(number)[1:]
neg=1
else:
neg=0

# make an integer out of the number
x=long(0)
for digit in str(number):
x = x*len(fromdigits) + fromdigits.index(digit)

# create the result in base 'len(todigits)'
res=""
while x>0:
digit = x % len(todigits)
res = todigits[digit] + res
x /= len(todigits)
if neg:
res = "-"+res

return res

```