2-Stacks Implementation using Single Array
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A two-stack implementation using a single array is a data structure design that allows you to create and manage two separate stacks within a single contiguous block of memory. This design is often used in situations where you need two stacks but want to minimize memory usage or use a single array for some other constraint-related reason. Here's an explanation of how it works:
Data Structure Layout:
Start and End Pointers: The single array is divided into two regions, one for each stack. We maintain two pointers, top1 and top2, to keep track of the top elements of Stack 1 and Stack 2, respectively. These pointers initially point to specific positions in the array.
Fixed or Dynamic Sizing: Depending on the specific implementation, you can choose to have fixed-sized stacks, meaning each stack has a predetermined size, or dynamic sizing, where the stacks can grow and shrink within the array. Fixed-sized stacks are more straightforward to implement.
Key Operations:
Push to Stack 1 (push1): To push an element onto Stack 1, you increment top1 and store the element at that position in the array.
Push to Stack 2 (push2): To push an element onto Stack 2, you decrement top2 and store the element at that position in the array.
Pop from Stack 1 (pop1): To pop an element from Stack 1, you retrieve the element at the position pointed to by top1, and then decrement top1. This operation removes and returns the top element of Stack 1.
Pop from Stack 2 (pop2): To pop an element from Stack 2, you retrieve the element at the position pointed to by top2, and then increment top2. This operation removes and returns the top element of Stack 2.
Empty Checks (is_empty1 and is_empty2): You can check if Stack 1 or Stack 2 is empty by verifying whether top1 or top2 is at their respective initial positions.
Full Check (is_full): You can also check if both stacks are full by checking whether top1 and top2 have met in the middle of the array.
Usage:
This data structure is useful when you need two stacks but don't know in advance how many elements each stack will hold, or when you want to efficiently manage two stacks using a single block of memory.
It's important to note that this design does have a limitation in that one stack cannot grow beyond the other. If one stack grows too large, it can potentially limit the capacity of the other stack.
Complexity:
The time complexity of push and pop operations for each stack is O(1).
Implementation Note:
To avoid overflow issues when pushing to a full stack or underflow issues when popping from an empty stack, it's essential to check whether the stacks are full or empty before performing these operations, as demonstrated in the previous code examples.
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