A_LCASE = 97
Z_LCASE = 122
A_UCASE = 65
Z_UCASE = 90
def is_isogram(phrase):
letter_flags = 0
for ltr in phrase:
letter = ord(ltr)
if letter >= A_LCASE and letter <= Z_LCASE:
if letter_flags & (1 << (letter - A_LCASE)) != 0:
return False
else:
letter_flags |= 1 << (letter - A_LCASE)
elif letter >= A_UCASE and letter <= Z_UCASE:
if letter_flags & (1 << (letter - A_UCASE)) != 0:
return False
else:
letter_flags |= 1 << (letter - A_UCASE)
return True
This solution uses the ASCII value of the letter to set the corresponding bit position.
Some constants are defined for readability in the function. Python doesn't enforce having real constant values, but using all uppercase letters is the naming convention for a Python constant. It indicates that the value is not intended to be changed.
-
The ASCII value for
ais97. -
The ASCII value for
zis122. -
The ASCII value for
Ais65. -
The ASCII value for
Zis90. -
A
forloop is used to iterate the characters in the input phrase. -
The
ord()function is used to get the ASCII value of the letter. -
The
ifstatements look for a character beingathroughzorAthroughZ. -
If the lowercase letter is subtracted by
97, thenawill result in0, because97minus97equals0.zwould result in25, because122minus97equals25. Soawould have1shifted left 0 places (so not shifted at all) andzwould have1shifted left 25 places. -
If the uppercase letter is subtracted by
A, thenAwill result in0, because65minus65equals0.Zwould result in25, because90minus65equals25. SoAwould have1shifted left 0 places (so not shifted at all) andZwould have1shifted left 25 places.
In that way, both a lower-cased z and an upper-cased Z can share the same position in the bit field.
So, for a thirty-two bit integer, if the values for a and Z were both set, the bits would look like
zyxwvutsrqponmlkjihgfedcba
00000010000000000000000000000001
We can use the bitwise AND operator to check if a bit has already been set.
If it has been set, we know the letter is duplicated and we can immediately return False.
If it has not been set, we can use the bitwise OR operator to set the bit.
If the loop completes without finding a duplicate letter (and returning False), the function returns True.