From 97a20eacc35acc254904fcdbc16ed2bb814f342c Mon Sep 17 00:00:00 2001 From: Alexandre Tolstenko Date: Tue, 5 Mar 2024 10:47:44 -0500 Subject: [PATCH] fix: stack and queue --- docs/algorithms/08-stack-and-queue/Queue.gif | Bin 0 -> 522018 bytes docs/algorithms/08-stack-and-queue/README.md | 152 ++++++++++++++++++ docs/algorithms/08-stack-and-queue/img_1.png | Bin 0 -> 286542 bytes .../08-stack-and-queue/queue-operations.gif | Bin 0 -> 114246 bytes docs/algorithms/08-stack-and-queue/stack.gif | Bin 0 -> 1458360 bytes 5 files changed, 152 insertions(+) create mode 100644 docs/algorithms/08-stack-and-queue/Queue.gif create mode 100644 docs/algorithms/08-stack-and-queue/img_1.png create mode 100644 docs/algorithms/08-stack-and-queue/queue-operations.gif create mode 100644 docs/algorithms/08-stack-and-queue/stack.gif diff --git a/docs/algorithms/08-stack-and-queue/Queue.gif b/docs/algorithms/08-stack-and-queue/Queue.gif new file mode 100644 index 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z!!+~Nj|+7AA=9=6W5pyY`G&Y`d))4V#bH&Rci3k^I7Yt4*n34c=3HUC1nU|WTG@q$ z0qzxz-;PTd57~a1b7@(jEG!w{E$m&-P{d&w0k+6llOa4LRy5*zK-$+&cL@&4RYoKv zUt>=Xr%ERmQ0n26bn#W7tCZ%zDfC2N^95cvc23d3>MXqGgbEC==rAV?QL5dV*(q z$kn_!sUTjSIU2DY6-@_nb{cHu3L&9R%>px-w`5g$uYUBk04L-R>e6{pnMs@0+FmHp zC>oFQv0HrUz(h#Wk6^pQ6Jn68C#@(=vu9}q_1EcT7ya_%=)MltH~0Hx*_X+?B08Bg ziXtn5O_GP4&4hAphr367p^aBemMYf6X&n>`WIFHRpx}A0!m=4z^anU^&6mC;(>II&EOdJ|;exO5VPvA~2pSvHkYz6?oeSYR zYmlb?$gBRN?5ePJr^BzY?VPr?AM?nqFJ=VTF=5MQ3ZgucM+X~CQ~6TsJg*t z!{}cGg3Fbc8}|>I8j?_{zZ0(1xLI(vD7D$WuaK^PlJbI+qh*|ZYi8BVzV5!`=fl)A z+i63px&e3aQQ@@Lx~$5DjZ5)S4&his!_kVjDA{~o+ug*8Bs}>5s2Y%5$IYJf{(zo%`&T(Hku6<}UK(KsnhL07U-> + +// stack +template +class Stack { + T* data; // dynamic array + size_t size; // number of elements in the stack + size_t capacity; // capacity of the stack +public: + Stack() : data(nullptr), size(0), capacity(0) {} + ~Stack() { + delete[] data; + } + void push(const T& value) { + // if it needs to be resized + // amortized cost of push is O(1) + if (size == capacity) { + capacity = capacity == 0 ? 1 : capacity * 2; + T* new_data = new T[capacity]; + std::copy(data, data + size, new_data); + delete[] data; + data = new_data; + } + // stores the value and then increments the size + data[size++] = value; + } + T pop() { + if (size == 0) + throw std::out_of_range("Stack is empty"); + + // shrink the array if necessary + // ammortized cost of pop is O(1) + if (size <= capacity / 4) { + capacity /= 2; + T* new_data = new T[capacity]; + std::copy(data, data + size, new_data); + delete[] data; + data = new_data; + } + return data[--size]; + } + T& top() const { + if (size == 0) + throw std::out_of_range("Stack is empty"); + // cost of top is O(1) + return data[size - 1]; + } + size_t get_size() const { + return size; + } + bool is_empty() const { + return size == 0; + } +}; +``` + +## Queue + +![Queue.gif](Queue.gif) [source](https://embetronicx.com/tutorials/p_language/c/queue-in-c/) + +A queue is a type of dynamic data where the first element added is the first one to be removed. This is known as FIFO (First In First Out). Queues are used in many algorithms and data structures, such as the breadth-first search algorithm. Usually it is implemented as a linked list, in order to provide O(1) time complexity for the `enqueue` and `dequeue` operations. But it can be implemented using a dynamic array as well and amortize the cost for resizing. The dynamic array implementation is more efficient in terms of memory and speed(if not resized frequently). + +### Queue Basic Operations + +- `enqueue` - Add an element to the end of the queue. +- `dequeue` - Remove the first element from the queue. +- `front` - Return the first element of the queue. + +![queue-operations.gif](queue-operations.gif)[source](https://algo.aspires.cc/fundamental/ch1-linear-structure) + +### Queue Implementation + +```c++ +// queue +template +class Queue { + // dynamic array approach instead of linked list + T* data; + size_t front; // index of the first valid element + size_t back; // index of the next free slot + size_t capacity; // current capacity of the array + size_t size; // number of elements in the queue + + explicit Queue() : data(nullptr), front(0), back(0), capacity(capacity), size(0) {}; + + void enqueue(T value) { + // resize if necessary + // amortized O(1) time complexity + if (size == capacity) { + auto old_capacity = capacity; + capacity = capacity ? capacity * 2 : 1; + T* new_data = new T[capacity]; + for (size_t i = 0; i < size; i++) + new_data[i] = data[(front + i) % old_capacity]; + delete[] data; + data = new_data; + front = 0; + back = size; + } + data[back] = value; + back = (back + 1) % capacity; + size++; + } + + void dequeue() { + if (size) { + front = (front + 1) % capacity; + size--; + } + // shrink if necessary + if(size <= capacity / 4) { + auto old_capacity = capacity; + capacity /= 2; + T* new_data = new T[capacity]; + for (size_t i = 0; i < size; i++) + new_data[i] = data[(front + i) % old_capacity]; + delete[] data; + data = new_data; + front = 0; + back = size; + } + } + + T& head() { + return data[front]; + } +}; diff --git a/docs/algorithms/08-stack-and-queue/img_1.png b/docs/algorithms/08-stack-and-queue/img_1.png new file mode 100644 index 0000000000000000000000000000000000000000..8bf841c1f4ed598068573ee107003d19b29d8638 GIT binary patch literal 286542 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