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Medium

You are given an array of strings words and an integer k.

Two words a and b at distinct indices are -connected if a[0..k-1] == b[0..k-1].

A connected group is a set of words such that each pair of words is prefix-connected.

Return the number of connected groups that contain at least two words, formed from the given words.

Note:

  • Words with length less than k cannot join any group and are ignored.
  • Duplicate strings are treated as separate words.

 

Example 1:

Input: words = ["apple","apply","banana","bandit"], k = 2

Output: 2

Explanation:

Words sharing the same first k = 2 letters are grouped together:

  • words[0] = "apple" and words[1] = "apply" share prefix "ap".
  • words[2] = "banana" and words[3] = "bandit" share prefix "ba".

Thus, there are 2 connected groups, each containing at least two words.

Example 2:

Input: words = ["car","cat","cartoon"], k = 3

Output: 1

Explanation:

Words are evaluated for a prefix of length k = 3:

  • words[0] = "car" and words[2] = "cartoon" share prefix "car".
  • words[1] = "cat" does not share a 3-length prefix with any other word.

Thus, there is 1 connected group.

Example 3:

Input: words = ["bat","dog","dog","doggy","bat"], k = 3

Output: 2

Explanation:

Words are evaluated for a prefix of length k = 3:

  • words[0] = "bat" and words[4] = "bat" form a group.
  • words[1] = "dog", words[2] = "dog" and words[3] = "doggy" share prefix "dog".

Thus, there are 2 connected groups, each containing at least two words.

 

Constraints:

  • 1 <= words.length <= 5000
  • 1 <= words[i].length <= 100
  • 1 <= k <= 100
  • All strings in words consist of lowercase English letters.
 
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