Maximum Score Words Formed by Letters — LeetCode 1255 Python Solution

The problem

Given a list of words, list of single letters (might be repeating) and score of every character. Return the maximum score of any valid set of words formed by using the given letters (words[i] cannot be used two or more times).

Example

Input

words = ["dog","cat","dad","good"], letters = ["a","a","c","d","d","d","g","o","o"], score = [1,0,9,5,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0]

Output

23

Explanation

Score a=1, c=9, d=5, g=3, o=2

Python solution

class Solution:
    def maxScoreWords(
        self, words: List[str], letters: List[str], score: List[int]
    ) -> int:
        cnt = Counter(letters)
        n = len(words)
        ans = 0
        for i in range(1 << n):
            cur = Counter(''.join([words[j] for j in range(n) if i >> j & 1]))
            if all(v <= cnt[c] for c, v in cur.items()):
                t = sum(v * score[ord(c) - ord('a')] for c, v in cur.items())
                ans = max(ans, t)
        return ans

Complexity

Pattern: Backtracking

Build candidates one choice at a time and abandon a branch the moment it cannot work. LeetCode 1255. Maximum Score Words Formed by Letters is filed here because LeetCode tags it Backtracking, which is the vocabulary this hub collects.

The backtracking guide has the Python template for the pattern and the 105 LeetCode problems that use it.

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