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1239.Maximum-Length-of-a-Concatenated-String-with-Unique-Characters

题目

Given an array of strings arr. String s is a concatenation of a sub-sequence of arr which have unique characters.

Return the maximum possible length of s.

Example 1:

Input: arr = ["un","iq","ue"] Output: 4 Explanation: All possible concatenations are "","un","iq","ue","uniq" and "ique". Maximum length is 4. 

Example 2:

Input: arr = ["cha","r","act","ers"] Output: 6 Explanation: Possible solutions are "chaers" and "acters". 

Example 3:

Input: arr = ["abcdefghijklmnopqrstuvwxyz"] Output: 26 

Constraints:

  • 1 <= arr.length <= 16
  • 1 <= arr[i].length <= 26
  • arr[i] contains only lower case English letters.

题目大意

给定一个字符串数组 arr,字符串 s 是将 arr 某一子序列字符串连接所得的字符串,如果 s 中的每一个字符都只出现过一次,那么它就是一个可行解。请返回所有可行解 s 中最长长度。

解题思路

  • 每个字符串数组可以想象为 26 位的 0101 二进制串。出现的字符对应的位上标记为 1,没有出现的字符对应的位上标记为 0 。如果一个字符串中包含重复的字符,那么它所有 1 的个数一定不等于字符串的长度。如果 2 个字符串每个字母都只出现了一次,那么它们俩对应的二进制串 mask 相互与运算的结果一定为 0 ,即 0,1 互补了。利用这个特点,深搜所有解,保存出最长可行解的长度即可。

代码

package leetcode import ( "math/bits" ) funcmaxLength(arr []string) int { c, res:= []uint32{}, 0for_, s:=rangearr { varmaskuint32for_, c:=ranges { mask=mask|1<<(c-'a') } iflen(s) !=bits.OnesCount32(mask) { // 如果字符串本身带有重复的字符,需要排除continue } c=append(c, mask) } dfs(c, 0, 0, &res) returnres } funcdfs(c []uint32, indexint, maskuint32, res*int) { *res=max(*res, bits.OnesCount32(mask)) fori:=index; i<len(c); i++ { ifmask&c[i] ==0 { dfs(c, i+1, mask|c[i], res) } } return } funcmax(a, bint) int { ifa>b { returna } returnb }
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