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push_swap's Introduction

push_swap

The goal is to find the minimum number of instructions to sort the set of integers received as argument.

  • At the beginning:
    • The stack a contains a random amount of negative and/or positive numbers which cannot be duplicated.
    • The stack b is empty
  • To sort in ascending order numbers into stack a, these are the avaible instructions:
    • sa (swap a): Swap the first 2 elements at the top of stack a.
    • sb (swap b): Swap the first 2 elements at the top of stack b.
    • ss : sa and sb at the same time.
    • pa (push a): Take the first element at the top of b and put it at the top of a.
    • pb (push b): Take the first element at the top of a and put it at the top of b.
    • ra (rotate a): Shift up all elements of stack a by 1. The first element becomes the last one.
    • rb (rotate b): Shift up all elements of stack b by 1. ''
    • rr : ra and rb at the same time.
    • rra (reverse rotate a): Shift down all elements of stack a by 1. The last element becomes the first one.
    • rrb (reverse rotate b): Shift down all elements of stack b by 1. ''
    • rrr : rra and rrb at the same time.

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