Next Permutation


Implement the next permutation, which rearranges numbers into the numerically next greater permutation of numbers for a given array A of size N.

If such arrangement is not possible, it must be rearranged as the lowest possible order i.e., sorted in an ascending order.

Note:

1. The replacement must be in-place, do **not** allocate extra memory.
2. DO NOT USE LIBRARY FUNCTION FOR NEXT PERMUTATION. Use of Library functions will disqualify your submission retroactively and will give you penalty points.

Input Format:

The first and the only argument of input has an array of integers, A.

Output Format:

Return an array of integers, representing the next permutation of the given array.

Constraints:

1 <= N <= 5e5
1 <= A[i] <= 1e9

Examples:

Input 1:
    A = [1, 2, 3]

Output 1:
    [1, 3, 2]

Input 2:
    A = [3, 2, 1]

Output 2:
    [1, 2, 3]

Input 3:
    A = [1, 1, 5]

Output 3:
    [1, 5, 1]

Input 4:
    A = [20, 50, 113]

Output 4:
    [20, 113, 50]
NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a doubt? Checkout Sample Codes for more details.
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