# Question

Given a string array words, find the maximum value of length(word[i]) * length(word[j]) where the two words do not share common letters. You may assume that each word will contain only lower case letters. If no such two words exist, return 0.

Example 1:

Input: ["abcw","baz","foo","bar","xtfn","abcdef"]
Output: 16
Explanation: The two words can be "abcw", "xtfn".


Example 2:

Input: ["a","ab","abc","d","cd","bcd","abcd"]
Output: 4
Explanation: The two words can be "ab", "cd".


Example 3:

Input: ["a","aa","aaa","aaaa"]
Output: 0
Explanation: No such pair of words.


# Solution

Because each word has no more than 26 different characters, we can use an int to represent the set of characters. Then if bit-wise and & of such numbers of two words is 0, then there are no common characters in them.

class Solution(object):
def maxProduct(self, words):
"""
:type words: List[str]
:rtype: int
"""
if len(words) <= 1:
return 0

charSets = [0] * len(words)

for i in range(len(words)):
for c in words[i]:
charSets[i] |= 1 << (ord(c) - ord('a'))

length = 0
for i in range(len(words) - 1):
for j in range(i + 1, len(words)):
if charSets[i] & charSets[j] == 0 and length < len(words[i]) * len(words[j]):
length = len(words[i]) * len(words[j])

return length