What is lexicographically smallest palindrome?

What is lexicographically smallest palindrome?

Definition: The smallest lexicographical order is an order relation where string s is smaller than t, given the first character of s (s1 ) is smaller than the first character of t (t1 ), or in case they are equivalent, the second character, etc.

What is the smallest palindrome?

Smallest N-digit Palindromic Number: On observing carefully, you will observe that for N = 1, the smallest palindromic number will be 0. And for any other value of N, the smallest palindrome will have the first and last digits as 1 and all of the digits in between as 0.

How do you find the lexicographically smallest string?

The lexicographically smallest string obtained is “abcd”.

1. Input: S = “abcd”, C=’e’
2. Output: “abcde”
3. Explanation: The possible strings formed by placing the character C in string at different indices are {“eabcd”, “aebcd”, “abecd”, “abced”, “abcde”}. The lexicographically smallest string is “abcde”.

How do you make a string non palindrome in C++?

Make palindromic string non-palindromic by rearranging its letters

1. Input: str = “abba”
2. Output: aabb.
3. Input: str = “zzz”
4. Output: -1.

How do you break a palindrome string by replacing a character?

Given a palindromic string palindrome, replace exactly one character by any lowercase English letter so that the string becomes the lexicographically smallest possible string that isn’t a palindrome. After doing so, return the final string.

What is lexicographic order?

In mathematics, the lexicographic or lexicographical order (also known as lexical order, or dictionary order) is a generalization of the alphabetical order of the dictionaries to sequences of ordered symbols or, more generally, of elements of a totally ordered set.

What is the smallest 4 digit palindrome?

The Number 2112 is meeting all the criteria. It’s a Palindrome, it’s divisible by 4 and since we started at the lower end, it is also the smallest 4 Digit palindrome. Thus, 2112 is the required answer.

What is the smallest 6 digit palindrome?

108801/99 = 1099.

How do you check if a string is lexicographically smallest in Python?

Program to find Lexicographically Smallest String With One Swap in Python

1. temp := an array of size s and fill with 0.
2. m:= size of s – 1.
3. for i in range size of s -1 to -1, decrease by 1, do. if s[i] < s[m], then. m := i. temp[i] := m. for i in range 0 to size of s, do. a := temp[i] if s[a] is not same as s[i], then.
4. return s.

How do I find the lexicographically smaller string in Python?

To find the smallest of given List of strings lexicographically in Python, call min() builtin function and pass the strings as arguments or the list of strings as argument to this function. min() function returns the string that occurs first when the given strings are sorted lexicographically in ascending order.

How do you break a palindrome?

Given a palindromic string of lowercase English letters palindrome , replace exactly one character with any lowercase English letter so that the resulting string is not a palindrome and that it is the lexicographically smallest one possible. Return the resulting string.

How do you create a palindrome in Java?

Palindrome Program in Java using FOR loop (integer) Store the input in a new variable (element). Until num is not equal to zero, find the reminder of the num and store it in a variable (reverse). Divide the num by ten and repeat step 3 using a FOR loop. Check if the element is equal to the reverse.

Which is the smallest string in a palindrome?

Explanation 1: Change the last index “c” to “b”, it becomes “aabb”. Then rearrange the string, it becomes “abba”. This is the lexicographically smallest string. Explanation 2: change “d” to “b” => “aabcb” => “abcba”.

How to print the lexicographically smallest string possible?

Given a string S. Print the lexicographically smallest string possible. You can make minimal changes to the characters in the string and you can permute the string. Examples: Explanation 1:Change the last index “c” to “b”, it becomes “aabb”. Then rearrange the string, it becomes “abba”. This is the lexicographically smallest string.

Can a palindrome contain more than one odd value?

Consider odd values of cnt [a], then a palindrome can not contain more than one character a with cnt [a]. Denote characters with odd count cnt [] as follows a 1, a 2 ….a k (in alphabetical order). Replace any of the symbols a k with a 1 and a k-1 with a 2 and so on upto middle of sequence above. Now, there are no more than one odd symbol.