We can redistribute all the letters freely among the words.

Calculate the frequency of each letter and total the number of matching letter pairs that can be formed from the letters, i.e., <code>total = sum(freq[ch] / 2)</code> for all <code>'a' <= ch <= 'z'</code>.

We can greedily try making palindromes from <code>words[i]</code> with the smallest length to <code>words[i]</code> with the longest length.

For the current index, <code>i</code>, we try to make <code>words[i]</code> a palindrome. We need <code>len(words[i]) / 2</code> matching character pairs, and the letter in the middle (if it exists) can be freely chosen afterward.

We can check if we have enough pairs for index <code>i</code>; if we do, we increase the number of palindromes we can make and decrease the number of pairs we have. Otherwise, we end the loop at this index.

The answer is the number of palindromes we were able to make in the end.