What is the exact meaning of lexicographical order? How it is different from alphabetical order?
Lexicographical order is nothing but the dictionary order or preferably the order in which words appear in the dictonary. For example, let's take three strings, "short", "shorthand" and "small". In the dictionary, "short" comes before "shorthand" and "shorthand" comes before "small". This is lexicographical 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.
When applied to numbers, lexicographic order is increasing numerical order, i.e. increasing numerical order (numbers read left to right). For example, the permutations of {1,2,3} in lexicographic order are 123, 132, 213, 231, 312, and 321. When applied to subsets, two subsets are ordered by their smallest elements.
Approach: Find a string which is lexicographically greater than string S and check if it is smaller than string T, if yes print the string next else print “-1”. To find string, iterate the string S in the reverse order, if the last letter is not 'z', increase the letter by one (to move to next letter).
lexicographical order is alphabetical order. The other type is numerical ordering. Consider the following values,
1, 10, 2
Those values are in lexicographical order. 10 comes after 2 in numerical order, but 10 comes before 2 in "alphabetical" order.
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