IS USED IN THE COMMAND next_permutation IN C++ PROGRAMMING LANGUAGE.
Nārāyana Pandit was the first who gave a non-recursive algorithm for
expansion of partitions of a number. He demonstrated his algorithm which
is based on finding the next permutation in lexicographical order. In
this algorithm, one has to start by sorting the sequence in increasing
order to get its lexicographically minimal solution and repeat advancing
to the next permutation as long as one is found.
The algorithm applied by Nārāyana Pandit is:
Step 1 : Find largest index k such a[k] < a[k+1] that ;
Step 2 : Find largest index 1 such that a[k] < a[1]
Step 3 : Swap a[k] and a[1]
Step 4 : Reverse the range a[k+1] to a[n-1]
Two examples given by Narayana Pandit are shown in images enclosed.
-Vedveer Arya ,Indian History Real Truth
Step 1 : Find largest index k such a[k] < a[k+1] that ;
Step 2 : Find largest index 1 such that a[k] < a[1]
Step 3 : Swap a[k] and a[1]
Step 4 : Reverse the range a[k+1] to a[n-1]
Two examples given by Narayana Pandit are shown in images enclosed.
-Vedveer Arya ,Indian History Real Truth
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