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Implementation of max heap in Golang
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// Max Heap implementation | |
// We will be performing following operations on the max heap | |
// a) Add a new element (add) | |
// b) Fetch top element (peek) | |
// c) Delete top element (pop) | |
package main | |
import "fmt" | |
type maxHeap struct { | |
// Create a complete binary tree using an array | |
// Then use the binary tree to construct a Heap | |
heap []int | |
// the number of elements is needed when instantiating an array | |
// heapSize records the size of the array | |
heapSize int | |
// realSize records the number of elements in the Heap | |
realSize int | |
} | |
func (this *maxHeap) initialize(size int) { | |
this.heapSize = size + 1 | |
this.heap = make([]int, this.heapSize) | |
// To better track the indices of the binary tree, | |
// we will not use the 0-th element in the array heap | |
} | |
func (this *maxHeap) add(element int) { | |
this.realSize++ | |
// If the number of elements in the Heap exceeds the preset heapSize | |
// print "Added too many elements" and return | |
if this.realSize >= this.heapSize { | |
fmt.Println("Added too many elements!") | |
this.realSize-- | |
return | |
} | |
// Add the element into the array | |
this.heap[this.realSize] = element | |
// Index of the newly added element | |
index := this.realSize | |
// Parent node of the newly added element | |
// Note if we use an array to represent the complete binary tree | |
// and store the root node at index 1 | |
// index of the parent node of any node is [index of the node / 2] | |
// index of the left child node is [index of the node * 2] | |
// index of the right child node is [index of the node * 2 + 1] | |
parent := index / 2 | |
// If the newly added element is larger than its parent node, | |
// its value will be exchanged with that of the parent node | |
for this.heap[index] > this.heap[parent] && index > 1 { | |
temp := this.heap[index] | |
this.heap[index] = this.heap[parent] | |
this.heap[parent] = temp | |
index = parent | |
parent = index / 2 | |
} | |
} | |
// Get the top element of the Heap | |
func (this *maxHeap) peek() int { | |
return this.heap[1] | |
} | |
// Delete the top element of the Heap | |
func (this *maxHeap) pop() int { | |
// If the number of elements in the current Heap is 0, | |
// print "Don't have any elements" and return a default value | |
if this.realSize < 1 { | |
fmt.Println("Don't have any element!") | |
return 0 | |
} else { | |
// When there are still elements in the Heap | |
// realSize >= 1 | |
removedElement := this.heap[1] | |
// Put the last element in the Heap to the top of Heap | |
this.heap[1] = this.heap[this.realSize] | |
this.realSize-- | |
index := 1 | |
// When the deleted element is not a leaf node | |
for index <= this.realSize/2 { | |
// the left child of the deleted element | |
left := index * 2 | |
// the right child of the deleted element | |
right := (index * 2) + 1 | |
// If the deleted element is smaller than the left or right child | |
// its value needs to be exchanged with the larger value | |
// of the left and right child | |
if this.heap[index] < this.heap[left] || this.heap[index] < this.heap[right] { | |
if this.heap[left] > this.heap[right] { | |
temp := this.heap[left] | |
this.heap[left] = this.heap[index] | |
this.heap[index] = temp | |
index = left | |
} else { | |
// this.heap[left] <= this.heap[right] | |
temp := this.heap[right] | |
this.heap[right] = this.heap[index] | |
this.heap[index] = temp | |
index = right | |
} | |
} else { | |
break | |
} | |
} | |
return removedElement | |
} | |
} | |
func (this *maxHeap) print() { | |
if this.realSize == 0 { | |
fmt.Println("No element!") | |
} else { | |
var output []int | |
for i := 1; i <= this.realSize; i++ { | |
output = append(output, this.heap[i]) | |
} | |
fmt.Println(output) | |
} | |
} | |
// return the number of elements in the Heap | |
func (this *maxHeap) size() int { | |
return this.realSize | |
} | |
func main() { | |
var h maxHeap | |
h.initialize(3) | |
h.add(1) | |
h.add(2) | |
h.add(3) | |
// [3,1,2] | |
h.print() | |
// 3 | |
fmt.Println(h.peek()) | |
// 3 | |
fmt.Println(h.pop()) | |
// 2 | |
fmt.Println(h.pop()) | |
// 1 | |
fmt.Println(h.pop()) | |
// No element | |
h.print() | |
// [4] | |
h.add(4) | |
// [5,4] | |
h.add(5) | |
// [10,4,5] | |
h.add(10) | |
// Added too many elements! | |
h.add(11) | |
// [10,4,5] | |
h.print() | |
} |
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Try this code on https://go.dev/play/p/XjoE4JFupfZ