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What is lexicographically minimum permutation?
Find the lexicographically permutation that can be obtained by replacing minimum number of elements in array such that every element of array occurs exactly once in the entire array. Naive approach is to generate all the permutation from 1 to n and pick the smallest one which renders the minimum replacements.
How do you find the smallest permutation?
Approach : As number is long, store the number as string, sort the string, if there is no leading zero, return this string, if there is any leading zero, swap first element of string with first non-zero element of string, and return the string. Below is the implementation of above approach : C++ Java.
What is lexicographically smallest mean?
6 Answers. 6. 24. 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 lexicographically smallest number?
Note that any index can be chosen more than once. Optimal answer is [0, 2] as it is lexicographically smallest.
Which is the lexicographically smallest permutation of N?
Given a positive integer n, find the lexicographically smallest permutation p of {1, 2, .. n} such that p i != i. i.e., i should not be there at i-th position where i varies from 1 to n.
How to make the smallest permutation of numbers?
First, print the minimum number of replacements required and then print the final lexicographical array. Input arr [] = {2, 3, 4, 3, 2} Output 2 1 3 4 5 2 Explanation Replace number ‘2’ at position 1 st with number ‘1’ and ‘3’ at position 4 th with number ‘5’.
Which is the lexicographically smallest input or output?
Since p is lexicographically smaller, our output is p. Input : 6 Output : 2 1 4 3 6 5 Recommended: Please try your approach on {IDE} first, before moving on to the solution. Since we need lexicographically smallest (and 1 cannot come at position 1), we put 2 at first position.
Which is the lexicographically smallest array of elements?
Input arr [] = {2, 3, 4, 3, 2} Output 2 1 3 4 5 2 Explanation Replace number ‘2’ at position 1 st with number ‘1’ and ‘3’ at position 4 th with number ‘5’. The array that we obtain is [1, 3, 4, 5, 2] which is lexicographically smallest among all the possible suitable.