Ternary Min heap
Here given code implementation process.
/*
C Program
Ternary Min heap
*/
#include <stdio.h>
// Display pre order view of ternary tree
void preorder(int node[], int size, int root)
{
if (root < size)
{
printf("%3d", node[root]);
// Recursive visit to child node
preorder(node, size, 3 *root + 1);
preorder(node, size, 3 *root + 2);
preorder(node, size, 3 *root + 3);
}
}
//Swap two element in array
void swap(int node[], int first, int second)
{
int auxiliary = node[first];
node[first] = node[second];
node[second] = auxiliary;
}
// Compare tree node and convert into valid min heap
int compare(int node[], int root, int size)
{
int location = -1;
for (int i = 1; i <= 3; ++i)
{
if (3 *root + i < size && node[3 *root + i] < node[root])
{
if (location == -1)
{
location = 3 *root + i;
}
else if (node[3 *root + i] < node[location])
{
location = 3 *root + i;
}
}
}
if (location != -1)
{
// When node value are change
swap(node, root, location);
}
return location;
}
// Convert into min heap
void heap(int node[], int size, int root)
{
int task = compare(node, root, size);
if (task != -1)
{
// Recursively execute function, when tasks are remain
heap(node, size, task);
}
}
// Handles the request of constructing ternary min heap
void makeTernaryHeap(int node[], int size)
{
for (int i = (size / 3) ; i >= 0; i--)
{
heap(node, size, i);
}
}
int main()
{
// Tree nodes
int node[] = {
10 , 7 , 2 , 9 , 1 , 4 , 6 , 3 , 8 , 5
};
// Get the number of elements
int size = sizeof(node) / sizeof(node[0]);
// Construct Min heap
makeTernaryHeap(node, size);
/*Min heap
-----------------------
1
/ | \
/ | \
/ | \
/ | \
/ | \
/ | \
/ | \
/ | \
4 2 9
/ | \ / | \
7 10 6 3 8 5
----------------------------
Constructed Tree
*/
printf(" Preorder\n");
preorder(node, size, 0);
return 0;
}Output
Preorder
1 4 7 10 6 2 3 8 5 9/*
Java program
Implement Ternary Min heap
*/
public class TernaryMinHeap
{
// Display pre order view of ternary tree
public void preorder(int[] node, int size, int root)
{
if (root < size)
{
System.out.print(" " + node[root]);
// Recursive visit to child node
preorder(node, size, 3 * root + 1);
preorder(node, size, 3 * root + 2);
preorder(node, size, 3 * root + 3);
}
}
//Swap two element in array
public void swap(int[] node, int first, int second)
{
int auxiliary = node[first];
node[first] = node[second];
node[second] = auxiliary;
}
// Compare tree node and convert into valid min heap
public int compare(int[] node, int root, int size)
{
int location = -1;
for (int i = 1; i <= 3; ++i)
{
if (3 * root + i < size && node[3 * root + i] < node[root])
{
if (location == -1)
{
location = 3 * root + i;
}
else if (node[3 * root + i] < node[location])
{
location = 3 * root + i;
}
}
}
if (location != -1)
{
// When node value are change
swap(node, root, location);
}
return location;
}
// Convert into min heap
public void heap(int[] node, int size, int root)
{
int task = compare(node, root, size);
if (task != -1)
{
// Recursively execute function, when tasks are remain
heap(node, size, task);
}
}
// Handles the request of constructing ternary min heap
public void makeTernaryHeap(int[] node, int size)
{
for (int i = (size / 3) ; i >= 0; i--)
{
heap(node, size, i);
}
}
public static void main(String[] args)
{
TernaryMinHeap task = new TernaryMinHeap();
// Tree nodes
int[] node = {
10 , 7 , 2 , 9 , 1 , 4 , 6 , 3 , 8 , 5
};
// Get the number of elements
int size = node.length;
// Construct Min heap
task.makeTernaryHeap(node, size);
/*Min heap
-----------------------
1
/ | \
/ | \
/ | \
/ | \
/ | \
/ | \
/ | \
/ | \
4 2 9
/ | \ / | \
7 10 6 3 8 5
----------------------------
Constructed Tree
*/
System.out.print(" Preorder\n");
task.preorder(node, size, 0);
}
}Output
Preorder
1 4 7 10 6 2 3 8 5 9// Include header file
#include <iostream>
using namespace std;
/*
C++ program
Implement Ternary Min heap
*/
class TernaryMinHeap
{
public:
// Display pre order view of ternary tree
void preorder(int node[], int size, int root)
{
if (root < size)
{
cout << " " << node[root];
// Recursive visit to child node
this->preorder(node, size, 3 *root + 1);
this->preorder(node, size, 3 *root + 2);
this->preorder(node, size, 3 *root + 3);
}
}
//Swap two element in array
void swap(int node[], int first, int second)
{
int auxiliary = node[first];
node[first] = node[second];
node[second] = auxiliary;
}
// Compare tree node and convert into valid min heap
int compare(int node[], int root, int size)
{
int location = -1;
for (int i = 1; i <= 3; ++i)
{
if (3 *root + i < size && node[3 *root + i] < node[root])
{
if (location == -1)
{
location = 3 *root + i;
}
else if (node[3 *root + i] < node[location])
{
location = 3 *root + i;
}
}
}
if (location != -1)
{
// When node value are change
this->swap(node, root, location);
}
return location;
}
// Convert into min heap
void heap(int node[], int size, int root)
{
int task = this->compare(node, root, size);
if (task != -1)
{
// Recursively execute function, when tasks are remain
this->heap(node, size, task);
}
}
// Handles the request of constructing ternary min heap
void makeTernaryHeap(int node[], int size)
{
for (int i = (size / 3) ; i >= 0; i--)
{
this->heap(node, size, i);
}
}
};
int main()
{
TernaryMinHeap task = TernaryMinHeap();
// Tree nodes
int node[] = {
10 , 7 , 2 , 9 , 1 , 4 , 6 , 3 , 8 , 5
};
// Get the number of elements
int size = sizeof(node) / sizeof(node[0]);
// Construct Min heap
task.makeTernaryHeap(node, size);
/*
Min heap
-----------------------
1
/ | \
/ | \
/ | \
/ | \
/ | \
/ | \
/ | \
/ | \
4 2 9
/ | \ / | \
7 10 6 3 8 5
----------------------------
Constructed Tree
*/
cout << " Preorder\n";
task.preorder(node, size, 0);
return 0;
}Output
Preorder
1 4 7 10 6 2 3 8 5 9// Include namespace system
using System;
/*
C# program
Implement Ternary Min heap
*/
public class TernaryMinHeap
{
// Display pre order view of ternary tree
public void preorder(int[] node, int size, int root)
{
if (root < size)
{
Console.Write(" " + node[root]);
// Recursive visit to child node
preorder(node, size, 3 * root + 1);
preorder(node, size, 3 * root + 2);
preorder(node, size, 3 * root + 3);
}
}
//Swap two element in array
public void swap(int[] node, int first, int second)
{
int auxiliary = node[first];
node[first] = node[second];
node[second] = auxiliary;
}
// Compare tree node and convert into valid min heap
public int compare(int[] node, int root, int size)
{
int location = -1;
for (int i = 1; i <= 3; ++i)
{
if (3 * root + i < size && node[3 * root + i] < node[root])
{
if (location == -1)
{
location = 3 * root + i;
}
else if (node[3 * root + i] < node[location])
{
location = 3 * root + i;
}
}
}
if (location != -1)
{
// When node value are change
swap(node, root, location);
}
return location;
}
// Convert into min heap
public void heap(int[] node, int size, int root)
{
int task = compare(node, root, size);
if (task != -1)
{
// Recursively execute function, when tasks are remain
heap(node, size, task);
}
}
// Handles the request of constructing ternary min heap
public void makeTernaryHeap(int[] node, int size)
{
for (int i = (size / 3) ; i >= 0; i--)
{
heap(node, size, i);
}
}
public static void Main(String[] args)
{
TernaryMinHeap task = new TernaryMinHeap();
// Tree nodes
int[] node = {
10 , 7 , 2 , 9 , 1 , 4 , 6 , 3 , 8 , 5
};
// Get the number of elements
int size = node.Length;
// Construct Min heap
task.makeTernaryHeap(node, size);
/*
Min heap
-----------------------
1
/ | \
/ | \
/ | \
/ | \
/ | \
/ | \
/ | \
/ | \
4 2 9
/ | \ / | \
7 10 6 3 8 5
----------------------------
Constructed Tree
*/
Console.Write(" Preorder\n");
task.preorder(node, size, 0);
}
}Output
Preorder
1 4 7 10 6 2 3 8 5 9<?php
/*
Php program
Implement Ternary Min heap
*/
class TernaryMinHeap
{
// Display pre order view of ternary tree
public function preorder( & $node, $size, $root)
{
if ($root < $size)
{
echo " ". $node[$root];
// Recursive visit to child node
$this->preorder($node, $size, 3 * $root + 1);
$this->preorder($node, $size, 3 * $root + 2);
$this->preorder($node, $size, 3 * $root + 3);
}
}
//Swap two element in array
public function swap( & $node, $first, $second)
{
$auxiliary = $node[$first];
$node[$first] = $node[$second];
$node[$second] = $auxiliary;
}
// Compare tree node and convert into valid min heap
public function compare( & $node, $root, $size)
{
$location = -1;
for ($i = 1; $i <= 3; ++$i)
{
if (3 * $root + $i < $size && $node[3 * $root + $i] < $node[$root])
{
if ($location == -1)
{
$location = 3 * $root + $i;
}
else if ($node[3 * $root + $i] < $node[$location])
{
$location = 3 * $root + $i;
}
}
}
if ($location != -1)
{
// When node value are change
$this->swap($node, $root, $location);
}
return $location;
}
// Convert into min heap
public function heap( & $node, $size, $root)
{
$task = $this->compare($node, $root, $size);
if ($task != -1)
{
// Recursively execute function, when tasks are remain
$this->heap($node, $size, $task);
}
}
// Handles the request of constructing ternary min heap
public function makeTernaryHeap( & $node, $size)
{
for ($i = (intval($size / 3)) ; $i >= 0; $i--)
{
$this->heap($node, $size, $i);
}
}
}
function main()
{
$task = new TernaryMinHeap();
// Tree nodes
$node = array(10, 7, 2, 9, 1, 4, 6, 3, 8, 5);
// Get the number of elements
$size = count($node);
// Construct Min heap
$task->makeTernaryHeap($node, $size);
/*
Min heap
-----------------------
1
/ | \
/ | \
/ | \
/ | \
/ | \
/ | \
/ | \
/ | \
4 2 9
/ | \ / | \
7 10 6 3 8 5
----------------------------
Constructed Tree
*/
echo " Preorder\n";
$task->preorder($node, $size, 0);
}
main();Output
Preorder
1 4 7 10 6 2 3 8 5 9/*
Node Js program
Implement Ternary Min heap
*/
class TernaryMinHeap
{
// Display pre order view of ternary tree
preorder(node, size, root)
{
if (root < size)
{
process.stdout.write(" " + node[root]);
// Recursive visit to child node
this.preorder(node, size, 3 * root + 1);
this.preorder(node, size, 3 * root + 2);
this.preorder(node, size, 3 * root + 3);
}
}
//Swap two element in array
swap(node, first, second)
{
var auxiliary = node[first];
node[first] = node[second];
node[second] = auxiliary;
}
// Compare tree node and convert into valid min heap
compare(node, root, size)
{
var location = -1;
for (var i = 1; i <= 3; ++i)
{
if (3 * root + i < size && node[3 * root + i] < node[root])
{
if (location == -1)
{
location = 3 * root + i;
}
else if (node[3 * root + i] < node[location])
{
location = 3 * root + i;
}
}
}
if (location != -1)
{
// When node value are change
this.swap(node, root, location);
}
return location;
}
// Convert into min heap
heap(node, size, root)
{
var task = this.compare(node, root, size);
if (task != -1)
{
// Recursively execute function, when tasks are remain
this.heap(node, size, task);
}
}
// Handles the request of constructing ternary min heap
makeTernaryHeap(node, size)
{
for (var i = (parseInt(size / 3)) ; i >= 0; i--)
{
this.heap(node, size, i);
}
}
}
function main()
{
var task = new TernaryMinHeap();
// Tree nodes
var node = [10, 7, 2, 9, 1, 4, 6, 3, 8, 5];
// Get the number of elements
var size = node.length;
// Construct Min heap
task.makeTernaryHeap(node, size);
/*
Min heap
-----------------------
1
/ | \
/ | \
/ | \
/ | \
/ | \
/ | \
/ | \
/ | \
4 2 9
/ | \ / | \
7 10 6 3 8 5
----------------------------
Constructed Tree
*/
process.stdout.write(" Preorder\n");
task.preorder(node, size, 0);
}
main();Output
Preorder
1 4 7 10 6 2 3 8 5 9# Python 3 program
# Implement Ternary Min heap
class TernaryMinHeap :
# Display pre order view of ternary tree
def preorder(self, node, size, root) :
if (root < size) :
print(" ", node[root], end = "")
# Recursive visit to child node
self.preorder(node, size, 3 * root + 1)
self.preorder(node, size, 3 * root + 2)
self.preorder(node, size, 3 * root + 3)
# Swap two element in array
def swap(self, node, first, second) :
auxiliary = node[first]
node[first] = node[second]
node[second] = auxiliary
# Compare tree node and convert into valid min heap
def compare(self, node, root, size) :
location = -1
i = 1
while (i <= 3) :
if (3 * root + i < size and node[3 * root + i] < node[root]) :
if (location == -1) :
location = 3 * root + i
elif(node[3 * root + i] < node[location]) :
location = 3 * root + i
i += 1
if (location != -1) :
# When node value are change
self.swap(node, root, location)
return location
# Convert into min heap
def heap(self, node, size, root) :
task = self.compare(node, root, size)
if (task != -1) :
# Recursively execute function, when tasks are remain
self.heap(node, size, task)
# Handles the request of constructing ternary min heap
def makeTernaryHeap(self, node, size) :
i = (int(size / 3))
while (i >= 0) :
self.heap(node, size, i)
i -= 1
def main() :
task = TernaryMinHeap()
# Tree nodes
node = [10, 7, 2, 9, 1, 4, 6, 3, 8, 5]
# Get the number of elements
size = len(node)
# Construct Min heap
task.makeTernaryHeap(node, size)
#
# Min heap
# -----------------------
# 1
# / | \
# / | \
# / | \
# / | \
# / | \
# / | \
# / | \
# / | \
# 4 2 9
# / | \ / | \
# 7 10 6 3 8 5
# ----------------------------
# Constructed Tree
print(" Preorder")
task.preorder(node, size, 0)
if __name__ == "__main__": main()Output
Preorder
1 4 7 10 6 2 3 8 5 9# Ruby program
# Implement Ternary Min heap
class TernaryMinHeap
# Display pre order view of ternary tree
def preorder(node, size, root)
if (root < size)
print(" ", node[root])
# Recursive visit to child node
self.preorder(node, size, 3 * root + 1)
self.preorder(node, size, 3 * root + 2)
self.preorder(node, size, 3 * root + 3)
end
end
# Swap two element in array
def swap(node, first, second)
auxiliary = node[first]
node[first] = node[second]
node[second] = auxiliary
end
# Compare tree node and convert into valid min heap
def compare(node, root, size)
location = -1
i = 1
while (i <= 3)
if (3 * root + i < size && node[3 * root + i] < node[root])
if (location == -1)
location = 3 * root + i
elsif(node[3 * root + i] < node[location])
location = 3 * root + i
end
end
i += 1
end
if (location != -1)
# When node value are change
self.swap(node, root, location)
end
return location
end
# Convert into min heap
def heap(node, size, root)
task = self.compare(node, root, size)
if (task != -1)
# Recursively execute function, when tasks are remain
self.heap(node, size, task)
end
end
# Handles the request of constructing ternary min heap
def makeTernaryHeap(node, size)
i = (size / 3)
while (i >= 0)
self.heap(node, size, i)
i -= 1
end
end
end
def main()
task = TernaryMinHeap.new()
# Tree nodes
node = [10, 7, 2, 9, 1, 4, 6, 3, 8, 5]
# Get the number of elements
size = node.length
# Construct Min heap
task.makeTernaryHeap(node, size)
#
# Min heap
# -----------------------
# 1
# / | \
# / | \
# / | \
# / | \
# / | \
# / | \
# / | \
# / | \
# 4 2 9
# / | \ / | \
# 7 10 6 3 8 5
# ----------------------------
# Constructed Tree
print(" Preorder\n")
task.preorder(node, size, 0)
end
main()Output
Preorder
1 4 7 10 6 2 3 8 5 9/*
Scala program
Implement Ternary Min heap
*/
class TernaryMinHeap
{
// Display pre order view of ternary tree
def preorder(node: Array[Int], size: Int, root: Int): Unit = {
if (root < size)
{
print(" " + node(root));
// Recursive visit to child node
this.preorder(node, size, 3 * root + 1);
this.preorder(node, size, 3 * root + 2);
this.preorder(node, size, 3 * root + 3);
}
}
//Swap two element in array
def swap(node: Array[Int], first: Int, second: Int): Unit = {
var auxiliary: Int = node(first);
node(first) = node(second);
node(second) = auxiliary;
}
// Compare tree node and convert into valid min heap
def compare(node: Array[Int], root: Int, size: Int): Int = {
var location: Int = -1;
var i: Int = 1;
while (i <= 3)
{
if (3 * root + i < size && node(3 * root + i) < node(root))
{
if (location == -1)
{
location = 3 * root + i;
}
else if (node(3 * root + i) < node(location))
{
location = 3 * root + i;
}
}
i += 1;
}
if (location != -1)
{
// When node value are change
this.swap(node, root, location);
}
return location;
}
// Convert into min heap
def heap(node: Array[Int], size: Int, root: Int): Unit = {
var task: Int = this.compare(node, root, size);
if (task != -1)
{
// Recursively execute function, when tasks are remain
this.heap(node, size, task);
}
}
// Handles the request of constructing ternary min heap
def makeTernaryHeap(node: Array[Int], size: Int): Unit = {
var i: Int = ((size / 3).toInt) ;
while (i >= 0)
{
this.heap(node, size, i);
i -= 1;
}
}
}
object Main
{
def main(args: Array[String]): Unit = {
var task: TernaryMinHeap = new TernaryMinHeap();
// Tree nodes
var node: Array[Int] = Array(10, 7, 2, 9, 1, 4, 6, 3, 8, 5);
// Get the number of elements
var size: Int = node.length;
// Construct Min heap
task.makeTernaryHeap(node, size);
/*
Min heap
-----------------------
1
/ | \
/ | \
/ | \
/ | \
/ | \
/ | \
/ | \
/ | \
4 2 9
/ | \ / | \
7 10 6 3 8 5
----------------------------
Constructed Tree
*/
print(" Preorder\n");
task.preorder(node, size, 0);
}
}Output
Preorder
1 4 7 10 6 2 3 8 5 9/*
Swift 4 program
Implement Ternary Min heap
*/
class TernaryMinHeap
{
// Display pre order view of ternary tree
func preorder(_ node: [Int], _ size: Int, _ root: Int)
{
if (root < size)
{
print(" ", node[root], terminator: "");
// Recursive visit to child node
self.preorder(node, size, 3 * root + 1);
self.preorder(node, size, 3 * root + 2);
self.preorder(node, size, 3 * root + 3);
}
}
//Swap two element in array
func swap(_ node: inout [Int], _ first: Int, _ second: Int)
{
let auxiliary: Int = node[first];
node[first] = node[second];
node[second] = auxiliary;
}
// Compare tree node and convert into valid min heap
func compare(_ node: inout [Int], _ root: Int, _ size: Int)->Int
{
var location: Int = -1;
var i: Int = 1;
while (i <= 3)
{
if (3 * root + i < size && node[3 * root + i] < node[root])
{
if (location == -1)
{
location = 3 * root + i;
}
else if (node[3 * root + i] < node[location])
{
location = 3 * root + i;
}
}
i += 1;
}
if (location != -1)
{
// When node value are change
self.swap(&node, root, location);
}
return location;
}
// Convert into min heap
func heap(_ node: inout [Int], _ size: Int, _ root: Int)
{
let task: Int = self.compare(&node, root, size);
if (task != -1)
{
// Recursively execute function, when tasks are remain
self.heap(&node, size, task);
}
}
// Handles the request of constructing ternary min heap
func makeTernaryHeap(_ node: inout [Int], _ size: Int)
{
var i: Int = (size / 3) ;
while (i >= 0)
{
self.heap(&node, size, i);
i -= 1;
}
}
}
func main()
{
let task: TernaryMinHeap = TernaryMinHeap();
// Tree nodes
var node: [Int] = [10, 7, 2, 9, 1, 4, 6, 3, 8, 5];
// Get the number of elements
let size: Int = node.count;
// Construct Min heap
task.makeTernaryHeap(&node, size);
/*
Min heap
-----------------------
1
/ | \
/ | \
/ | \
/ | \
/ | \
/ | \
/ | \
/ | \
4 2 9
/ | \ / | \
7 10 6 3 8 5
----------------------------
Constructed Tree
*/
print(" Preorder");
task.preorder(node, size, 0);
}
main();Output
Preorder
1 4 7 10 6 2 3 8 5 9/*
Kotlin program
Implement Ternary Min heap
*/
class TernaryMinHeap
{
// Display pre order view of ternary tree
fun preorder(node: Array < Int > , size: Int, root: Int): Unit
{
if (root < size)
{
print(" " + node[root]);
// Recursive visit to child node
this.preorder(node, size, 3 * root + 1);
this.preorder(node, size, 3 * root + 2);
this.preorder(node, size, 3 * root + 3);
}
}
//Swap two element in array
fun swap(node: Array < Int > , first: Int, second: Int): Unit
{
var auxiliary: Int = node[first];
node[first] = node[second];
node[second] = auxiliary;
}
// Compare tree node and convert into valid min heap
fun compare(node: Array < Int > , root: Int, size: Int): Int
{
var location: Int = -1;
var i: Int = 1;
while (i <= 3)
{
if (3 * root + i < size && node[3 * root + i] < node[root])
{
if (location == -1)
{
location = 3 * root + i;
}
else if (node[3 * root + i] < node[location])
{
location = 3 * root + i;
}
}
i += 1;
}
if (location != -1)
{
// When node value are change
this.swap(node, root, location);
}
return location;
}
// Convert into min heap
fun heap(node: Array < Int > , size: Int, root: Int): Unit
{
var task: Int = this.compare(node, root, size);
if (task != -1)
{
// Recursively execute function, when tasks are remain
this.heap(node, size, task);
}
}
// Handles the request of constructing ternary min heap
fun makeTernaryHeap(node: Array < Int > , size: Int): Unit
{
var i: Int = (size / 3) ;
while (i >= 0)
{
this.heap(node, size, i);
i -= 1;
}
}
}
fun main(args: Array <String> ): Unit
{
var task: TernaryMinHeap = TernaryMinHeap();
// Tree nodes
var node: Array <Int> = arrayOf(10, 7, 2, 9, 1, 4, 6, 3, 8, 5);
// Get the number of elements
var size: Int = node.count();
// Construct Min heap
task.makeTernaryHeap(node, size);
/*
Min heap
-----------------------
1
/ | \
/ | \
/ | \
/ | \
/ | \
/ | \
/ | \
/ | \
4 2 9
/ | \ / | \
7 10 6 3 8 5
----------------------------
Constructed Tree
*/
print(" Preorder\n");
task.preorder(node, size, 0);
}Output
Preorder
1 4 7 10 6 2 3 8 5 9
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