Php Program to Find Lexicographically smallest rotated sequence | Set 2
Write code to find lexicographic minimum in a circular array, e.g. for the array BCABDADAB, the lexicographic minimum is ABBCABDAD
Input Constraint: 1 < n < 1000
Input: GEEKSQUIZ Output: EEKSQUIZG Input: GFG Output: FGG Input : CAPABCQ Output : ABCQCAP
We have discussed a O(n2Logn) solution in Lexicographically minimum string rotation | Set 1. Here we need to find the starting index of minimum rotation and then print the rotation.
1) Initially assume 0 to be current min starting index. 2) Loop through i = 1 to n-1. a) For each i compare sequence starting at i with current min starting index b) If sequence starting at i is lexicographically smaller, update current min starting index.
Here is pseudo-code for algorithm
function findIndexForSmallestSequence(S, n): result = 0 for i = 1:n-1 if (sequence beginning at i < sequence beginning at result) result = i end if end for return result
Here is implementation of above algorithm.
Time Complexity : O(n^2)
Auxiliary Space : O(1)
Please refer complete article on Lexicographically smallest rotated sequence | Set 2 for more details!
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