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Given a string s and an integer k. You should construct k non-empty palindrome strings using all the characters in s.

Return True if you can use all the characters in s to construct k palindrome strings or False otherwise.

 

Example 1:

Input: s = "annabelle", k = 2
Output: true
Explanation: You can construct two palindromes using all characters in s.
Some possible constructions "anna" + "elble", "anbna" + "elle", "anellena" + "b"

Example 2:

Input: s = "leetcode", k = 3
Output: false
Explanation: It is impossible to construct 3 palindromes using all the characters of s.

Example 3:

Input: s = "true", k = 4
Output: true
Explanation: The only possible solution is to put each character in a separate string.

Example 4:

Input: s = "yzyzyzyzyzyzyzy", k = 2
Output: true
Explanation: Simply you can put all z's in one string and all y's in the other string. Both strings will be palindrome.

Example 5:

Input: s = "cr", k = 7
Output: false
Explanation: We don't have enough characters in s to construct 7 palindromes.

 

Constraints:

  • 1 <= s.length <= 10^5
  • All characters in s are lower-case English letters.
  • 1 <= k <= 10^5

Related Topics

[Greedy]

Hints

Hint 1 If the s.length < k we cannot construct k strings from s and answer is false.
Hint 2 If the number of characters that have odd counts is > k then the minimum number of palindrome strings we can construct is > k and answer is false.
Hint 3 Otherwise you can construct exactly k palindrome strings and answer is true (why ?).