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Given an integer n and a permutation of numbers 1, 2 ... , n-1, n write a program to print the permutation that lexicographically precedes the given input permutation. If the given permutation is the lexicographically least permutation, then print the input permutation itself.
Input Format:
First line is the value of integer n: 1 <= n <= 1,000,000
Second line is a space separated list of integers 1 2 ... n permuted in some random order
Output a single line containing a space separated list of integers which is the lexicographically preceding permutation of the input permutation.
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Write a program to print the permutation that lexicographically precedes the given input permutation.
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