131 lines
3.9 KiB
Java
131 lines
3.9 KiB
Java
package Heaps;
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/* Minimum Priority Queue
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* It is a part of heap data structure
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* A heap is a specific tree based data structure
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* in which all the nodes of tree are in a specific order.
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* that is the children are arranged in some
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* respect of their parents, can either be greater
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* or less than the parent. This makes it a min priority queue
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* or max priority queue.
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*/
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// Functions: insert, delete, peek, isEmpty, print, heapSort, sink
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public class MinPriorityQueue {
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private int[] heap;
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private int capacity;
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private int size;
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// calss the constructor and initializes the capacity
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MinPriorityQueue(int c) {
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this.capacity = c;
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this.size = 0;
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this.heap = new int[c + 1];
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}
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// inserts the key at the end and rearranges it
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// so that the binary heap is in appropriate order
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public void insert(int key) {
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if (this.isFull())
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return;
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this.heap[this.size + 1] = key;
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int k = this.size + 1;
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while (k > 1) {
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if (this.heap[k] < this.heap[k / 2]) {
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int temp = this.heap[k];
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this.heap[k] = this.heap[k / 2];
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this.heap[k / 2] = temp;
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}
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k = k / 2;
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}
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this.size++;
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}
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// returns the highest priority value
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public int peek() {
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return this.heap[1];
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}
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// returns boolean value whether the heap is empty or not
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public boolean isEmpty() {
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if (0 == this.size)
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return true;
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return false;
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}
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// returns boolean value whether the heap is full or not
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public boolean isFull() {
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if (this.size == this.capacity)
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return true;
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return false;
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}
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// prints the heap
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public void print() {
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for (int i = 1; i <= this.capacity; i++)
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System.out.print(this.heap[i] + " ");
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System.out.println();
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}
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// heap sorting can be done by performing
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// delete function to the number of times of the size of the heap
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// it returns reverse sort because it is a min priority queue
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public void heapSort() {
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for (int i = 1; i < this.capacity; i++)
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this.delete();
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}
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// this function reorders the heap after every delete function
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private void sink() {
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int k = 1;
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while (2 * k <= this.size || 2 * k + 1 <= this.size) {
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int minIndex;
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if (this.heap[2 * k] >= this.heap[k]) {
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if (2 * k + 1 <= this.size && this.heap[2 * k + 1] >= this.heap[k]) {
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break;
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} else if (2 * k + 1 > this.size) {
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break;
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}
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}
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if (2 * k + 1 > this.size) {
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minIndex = this.heap[2 * k] < this.heap[k] ? 2 * k : k;
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} else {
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if (this.heap[k] > this.heap[2 * k] || this.heap[k] > this.heap[2 * k + 1]) {
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minIndex = this.heap[2 * k] < this.heap[2 * k + 1] ? 2 * k : 2 * k + 1;
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} else {
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minIndex = k;
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}
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}
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int temp = this.heap[k];
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this.heap[k] = this.heap[minIndex];
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this.heap[minIndex] = temp;
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k = minIndex;
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}
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}
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// deletes the highest priority value from the heap
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public int delete() {
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int min = this.heap[1];
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this.heap[1] = this.heap[this.size];
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this.heap[this.size] = min;
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this.size--;
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this.sink();
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return min;
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}
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public static void main(String[] args) {
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// testing
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MinPriorityQueue q = new MinPriorityQueue(8);
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q.insert(5);
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q.insert(2);
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q.insert(4);
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q.insert(1);
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q.insert(7);
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q.insert(6);
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q.insert(3);
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q.insert(8);
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q.print(); // [ 1, 2, 3, 5, 7, 6, 4, 8 ]
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q.heapSort();
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q.print(); // [ 8, 7, 6, 5, 4, 3, 2, 1 ]
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}
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} |