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LeetCode link: 49. Group Anagrams, difficulty: Medium.

Given an array of strings strs, group the anagrams together. You can return the answer in any order.

An anagram is a word or phrase formed by rearranging the letters of a different word or phrase, using all the original letters exactly once.

Example 1:

Input: strs = ["eat", "tea", "tan", "ate", "nat", "bat"]

Output: [["bat"],["nat","tan"],["ate","eat","tea"]]

Example 2:

Input: strs = [""]

Output: [[""]]

Example 3:

Input: strs = ["a"]

Output: [["a"]]

Constraints:

  • 1 <= strs.length <= 10^4
  • 0 <= strs[i].length <= 100
  • strs[i] consists of lowercase English letters.

Intuition

  • Two strings, bat and atb, what is the fastest way to know that they are anagrams?

    Click to view the answer

    Sort each string in alphabetical order, and then compare the sorted strings. If they are equal, then they are anagrams.

  • But after sorting, the original string is not taken into account, and the result is the grouping of the original string. How to solve it?

    Click to view the answer

    Use tuples, that is, put the alphabetically sorted string and the original string in a tuple, like this: ("abt", "bat").

  • All that remains to do is to group this tuple array. What is the easiest way to group?

    Click to view the answer

    Use Map, key is the alphabetically sorted string, and value is the array of the original string.

Complexity

Time complexity

O(N * M * logM)

Space complexity

O(N)

Explanation

M = string.length

Solution in languages: Python Ruby

Python #

class Solution:
    def groupAnagrams(self, strs: List[str]) -> List[List[str]]:
        pairs = [(''.join(sorted(string)), string) for string in strs]

        ordered_to_original = defaultdict(list)

        for ordered, original in pairs:
            ordered_to_original[ordered].append(original)

        return list(ordered_to_original.values())

Ruby #

# @param {String[]} strs
# @return {String[][]}
def group_anagrams(strs)
  pairs = strs.map { |string| [ string.chars.sort.join, string ] }

  ordered_to_original = Hash.new([])

  pairs.each do |ordered, original|
    ordered_to_original[ordered] += [original]
  end

  ordered_to_original.values
end

# Or solution 2: More concise way

# @param {String[]} strs
# @return {String[][]}
def group_anagrams(strs)
  strs.group_by { |string| string.chars.sort }.values
end
Solution in languages: Python Ruby

Other languages

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