Minimum Swaps to Group All 1's Together

Given a string s, return true if the s can be palindrome after deleting at most one character from it.

Example 1:

Input: s = "aba"
Output: true

Example 2:

Input: s = "abca"
Output: true
Explanation: You could delete the character 'c'.

Example 3:

Input: s = "abc"
Output: false

Constraints:

  • 1 <= s.length <= 105
  • s consists of lowercase English letters.

Solution

The best approach to solve this problem is using two pointers in opposite directions. Similar to Valid Palindrome, we will initialize two pointers on the two ends of the string and work our way inside. We will perform the same palindrome validation by matching the characters at the l and r pointers. If their corresponding characters are different, then we know we must delete one character at one of the l or r position. Then, we can check whether the unprocessed substring (excluding the deleted character) is a palindrome.

In Valid Palindrome, we had implemented is_palindrome with two pointers, here, we are using an iterative approach for two pointers. The left pointer is i and the right pointer is slen - i, where slen is len(s) - 1.

Implementation

1def validPalindrome(self, s: str) -> bool:
2    def isPalindrome(s: str):
3        slen = len(s)-1
4        for i in range(slen//2 + 1):
5            if s[i] != s[slen-i]: return False
6        return True
7    
8    l, r = 0, len(s)-1
9    while l < r:
10        if s[l] != s[r]:
11            return isPalindrome(s[l+1:r+1]) or isPalindrome(s[l:r])
12        l += 1
13        r -= 1
14    return True
Not Sure What to Study? Take the 2-min Quiz to Find Your Missing Piece:

Which of the following is a min heap?

Discover Your Strengths and Weaknesses: Take Our 2-Minute Quiz to Tailor Your Study Plan:

Which two pointer technique does Quick Sort use?

Solution Implementation

Not Sure What to Study? Take the 2-min Quiz:

Which data structure is used to implement priority queue?

Fast Track Your Learning with Our Quick Skills Quiz:

Consider the classic dynamic programming of fibonacci numbers, what is the recurrence relation?


Recommended Readings


Got a question? Ask the Teaching Assistant anything you don't understand.

Still not clear? Ask in the Forum,  Discord or Submit the part you don't understand to our editors.


TA 👨‍🏫