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1239. Maximum Length of a Concatenated String with Unique Characters

MediumOpen on LeetCodeProblem statement

Problem Statement

1239. Maximum Length of a Concatenated String with Unique Characters

Medium


You are given an array of strings arr. A string s is formed by the concatenation of a subsequence of arr that has unique characters.

Return the maximum possible length of s.

A subsequence is an array that can be derived from another array by deleting some or no elements without changing the order of the remaining elements.

 

Example 1:

Input: arr = ["un","iq","ue"]
Output: 4
Explanation: All the valid concatenations are:
- ""
- "un"
- "iq"
- "ue"
- "uniq" ("un" + "iq")
- "ique" ("iq" + "ue")
Maximum length is 4.

Example 2:

Input: arr = ["cha","r","act","ers"]
Output: 6
Explanation: Possible longest valid concatenations are "chaers" ("cha" + "ers") and "acters" ("act" + "ers").

Example 3:

Input: arr = ["abcdefghijklmnopqrstuvwxyz"]
Output: 26
Explanation: The only string in arr has all 26 characters.

 

Constraints:

C++

Source file
class Solution {
public:
    int maxLength(vector<string>& A) {
        vector<bitset<26>> dp = {bitset<26>()};
        int res = 0;
        for (auto& s : A) {
            bitset<26> a;
            for (char c : s)
                a.set(c - 'a');
            int n = a.count();
            if (n < s.size()) continue;

            for (int i = dp.size() - 1; i >= 0; --i) {
                bitset c = dp[i];
                if ((c & a).any()) continue;
                dp.push_back(c | a);
                res = max(res, (int)c.count() + n);
            }
        }
        return res;
    }
};