JavaScript program to find lexicographically smallest string rotation

We will find the lexicographically minimal string rotation in JavaScript. The method involves concatenating the original string with itself and then using the built-in "sort" function to sort the concatenated string in ascending order. Finally, we will return the smallest substring of the sorted concatenated string with the same length as the original string. This will be the smallest string rotation in lexicographic order.

We will implement this logic by using string manipulation techniques and built-in functions available in JavaScript. The result of our implementation will be a string representing the lexicographically minimal rotation of the input string. This is useful for comparing and sorting strings in an efficient way.

In the future, we will continue to improve the algorithm to make it faster and more efficient to find the lexicographically smallest string rotation.

method

Here is explained how to find the lexicographically smallest string rotation in 5 lines -

• Concatenate the original string with itself to ensure all possible rotations are considered.

• Find the first character that is not equal to the next character, which will be used as the starting point of the minimum rotation.

• If no such character is found, the original string is returned as it is already minimally rotated.

• Returns the substring in the concatenated string starting from the found character to the end of the string as the minimum rotation.

• The resulting substring will be the lexicographically smallest rotation of the string.

Example

The lexicographically smallest rotation of a string can be found by concatenating the original string with itself and finding the smallest substring that starts with the first character of the original string.

This is an example implemented in JavaScript -

function findLexicographicallyMinimumStringRotation(str) {
   let strDouble = str + str;
   let len = str.length;
   let minRotation = strDouble.substring(0, len);
   for (let i = 1; i < len; i++) {
      let currRotation = strDouble.substring(i, i + len);
      if (currRotation < minRotation) {
         minRotation = currRotation;
      }
   }
   return minRotation;
}
const str = 'eadbc';
console.log(findLexicographicallyMinimumStringRotation(str));

illustrate

• First, we concatenate the original string with itself to get strDouble.

• We also define a variable len to store the length of the original string.

• Then we initialize minRotation with the first substring of length len in strDouble, that is, strDouble >.Substring(0, len). This is our starting point for finding the lexicographically smallest string rotation.

• We then use a for loop to iterate over all possible substrings of length len in strDouble starting from the second character.

• For each iteration, we find the current rotation currRotation by getting a substring of length len from the strDouble, starting from the current Location i.

• If currRotation is less than minRotation, we will update minRotation with the current rotation.

• Finally, after the for loop ends, we return the value of minRotation, which is the lexicographically smallest string rotation.

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