Implement interval tree
Here given code implementation process.
// C Program
// Construct interval tree
#include <stdio.h>
#include <stdlib.h>
struct IntervalNode
{
// Interval keys
int low;
int high;
int max;
struct IntervalNode *left, *right;
};
struct IntervalTree
{
struct IntervalNode * root;
};
// Create new tree
struct IntervalTree *newTree()
{
// Create dynamic tree
struct IntervalTree *tree =
(struct IntervalTree *) malloc(sizeof(struct IntervalTree));
if (tree != NULL)
{
tree->root = NULL;
}
else
{
printf("Memory Overflow to Create tree Tree\n");
}
//return new tree
return tree;
}
// This is creates and returns the new Interval tree Node node
struct IntervalNode *getNode(int intervalInfo[])
{
// Create dynamic node
struct IntervalNode *node =
(struct IntervalNode *) malloc(sizeof(struct IntervalNode));
if (node != NULL)
{
node->low = intervalInfo[0];
node->high = intervalInfo[1];
node->max = intervalInfo[1];
node->left = NULL;
node->right = NULL;
}
else
{
//This is indicates, segmentation fault or memory overflow problem
printf("Memory Overflow\n");
}
return node;
}
// This is creates and returns the new Interval tree Node node
void addNode(struct IntervalTree *tree, int intervalInfo[])
{
struct IntervalNode*node = getNode(intervalInfo);
if(tree->root==NULL)
{
// First node
tree->root = node;
return;
}
struct IntervalNode*auxilary = tree->root;
// Add a Interval node into tree
while(auxilary!=NULL)
{
if(auxilary->max < node->max)
{
// Change ancestor with new max value
auxilary->max = node->max;
}
if(node->low < auxilary->low)
{
if(auxilary->left==NULL)
{
// Add new node
auxilary->left = node;
return;
}
else
{
// Visit left subtree
auxilary = auxilary->left;
}
}
else
{
if(auxilary->right==NULL)
{
// Add new node
auxilary->right = node;
return;
}
else
{
// Visit right subtree
auxilary = auxilary->right;
}
}
}
}
// Display preorder of interval tree
void preorder(struct IntervalNode *node)
{
if (node != NULL)
{
printf("\n Interval : (%d %d) , max %d",
node->low,node->high,node->max);
// Visit left and right subtree using recursively
preorder(node->left);
preorder(node->right);
}
}
struct IntervalNode *overlapSearch(
struct IntervalNode *node, int low, int high)
{
if (node == NULL)
{
return NULL;
}
if(node->low <= high && low <= node->high )
{
// When resultant node found
return node;
}
if (node->left != NULL && node->left->max >= low)
{
return overlapSearch(node->left, low, high);
}
else
{
return overlapSearch(node->right, low, high);
}
}
int main()
{
struct IntervalTree*tree = newTree();
// Given intervals
// Note intervals pairs are sorted order
int intervalValue[][2] = {
{22, 46}, {3, 7} , {33, 52},
{23, 45}, {16,28}, {12, 38},
{24,35} , {2,26} , {35,46}
};
// Get number of nodes
int n = sizeof(intervalValue)/sizeof(intervalValue[0]);
// Add tree element
for (int i = 0; i < n; ++i)
{
addNode(tree,intervalValue[i]);
}
/*
Max = 52
(22, 46)
/ \
(38)/ \ (52)
(3, 7) (33, 52)
/ \ / \
(26)/ \(38) /(45) \(46)
(2,26) (16,28)(23, 45) (35,46)
/ \
(38)/ \ (35)
(12 38) (24,35)
--------------------------------
Construct Interval tree
-------------------------------
Preorder
Interval : (22 46) , max 52
Interval : (3 7) , max 38
Interval : (2 26) , max 26
Interval : (16 28) , max 38
Interval : (12 38) , max 38
Interval : (33 52) , max 52
Interval : (23 45) , max 45
Interval : (24 35) , max 35
Interval : (35 46) , max 46
-------------------------------
*/
// Display tree elements
printf("\n \n Preorder");
preorder(tree->root);
// Search interval
int low = 10;
int high = 21;
struct IntervalNode *ans = overlapSearch(tree->root,low,high);
if(ans!=NULL)
{
printf("\n Search Interval (%d,%d) at (%d,%d)",
low,high,ans->low,ans->high);
}
else
{
printf("\n Search Interval (%d,%d) : None", low,high);
}
return 0;
}input
Preorder
Interval : (22 46) , max 52
Interval : (3 7) , max 38
Interval : (2 26) , max 26
Interval : (16 28) , max 38
Interval : (12 38) , max 38
Interval : (33 52) , max 52
Interval : (23 45) , max 45
Interval : (24 35) , max 35
Interval : (35 46) , max 46
Search Interval (10,21) at (2,26)/*
Java Program
Construct interval tree
*/
// Interval Tree node
class IntervalNode {
// Interval keys
public int low;
public int high;
// Max of child
public int max;
public IntervalNode left;
public IntervalNode right;
public IntervalNode(int[] intervalInfo)
{
this.low = intervalInfo[0];
this.high = intervalInfo[1];
this.max = intervalInfo[1];
this.left = null;
this.right = null;
}
}
public class IntervalTree
{
public IntervalNode root;
public IntervalTree()
{
this.root = null;
}
// This is creates and returns the new Interval tree Node node
public void addNode(int[] intervalInfo)
{
IntervalNode node = new IntervalNode(intervalInfo);
if (this.root == null)
{
// First node
this.root = node;
return;
}
IntervalNode auxilary = this.root;
// Add a Interval node into tree
while (auxilary != null)
{
if (auxilary.max < node.max)
{
// Change ancestor with new max value
auxilary.max = node.max;
}
if (node.low < auxilary.low)
{
if (auxilary.left == null)
{
// Add new node
auxilary.left = node;
return;
}
else
{
// Visit left subtree
auxilary = auxilary.left;
}
}
else
{
if (auxilary.right == null)
{
// Add new node
auxilary.right = node;
return;
}
else
{
// Visit right subtree
auxilary = auxilary.right;
}
}
}
}
// Display preorder of interval tree
public void preorder(IntervalNode node)
{
if (node != null)
{
System.out.print("\n Interval : (" +
node.low + " " + node.high + ") , max " + node.max);
// Visit left and right subtree using recursively
preorder(node.left);
preorder(node.right);
}
}
public IntervalNode overlapSearch(IntervalNode node, int low, int high)
{
if (node == null)
{
return null;
}
if (node.low <= high && low <= node.high)
{
// When resultant node found
return node;
}
if (node.left != null && node.left.max >= low)
{
return overlapSearch(node.left, low, high);
}
else
{
return overlapSearch(node.right, low, high);
}
}
public static void main(String[] args)
{
IntervalTree tree = new IntervalTree();
// Given intervals
// Note intervals pairs are sorted order
int[][] intervalValue = {
{
22 , 46
},{
3 , 7
},{
33 , 52
},{
23 , 45
},{
16 , 28
},{
12 , 38
},{
24 , 35
},{
2 , 26
},{
35 , 46
}
};
// Get number of nodes
int n = intervalValue.length;
// Add tree element
for (int i = 0; i < n; ++i)
{
tree.addNode(intervalValue[i]);
}
/*
Max = 52
(22, 46)
/ \
(38)/ \ (52)
(3, 7) (33, 52)
/ \ / \
(26)/ \(38) /(45) \(46)
(2,26) (16,28)(23, 45) (35,46)
/ \
(38)/ \ (35)
(12 38) (24,35)
--------------------------------
Construct Interval tree
-------------------------------
Preorder
Interval : (22 46) , max 52
Interval : (3 7) , max 38
Interval : (2 26) , max 26
Interval : (16 28) , max 38
Interval : (12 38) , max 38
Interval : (33 52) , max 52
Interval : (23 45) , max 45
Interval : (24 35) , max 35
Interval : (35 46) , max 46
-------------------------------
*/
// Display tree elements
System.out.print("\n \n Preorder");
tree.preorder(tree.root);
// Search interval
int low = 10;
int high = 21;
IntervalNode ans = tree.overlapSearch(tree.root, low, high);
if (ans != null)
{
System.out.print("\n Search Interval (" + low + "," +
high + ") at (" + ans.low + "," + ans.high + ")");
}
else
{
System.out.print("\n Search Interval ("
+ low + "," + high + ") : None");
}
}
}input
Preorder
Interval : (22 46) , max 52
Interval : (3 7) , max 38
Interval : (2 26) , max 26
Interval : (16 28) , max 38
Interval : (12 38) , max 38
Interval : (33 52) , max 52
Interval : (23 45) , max 45
Interval : (24 35) , max 35
Interval : (35 46) , max 46
Search Interval (10,21) at (2,26)// Include header file
#include <iostream>
using namespace std;
/*
C++ Program
Construct interval tree
*/
// Interval Tree node
class IntervalNode
{
public:
// Interval keys
int low;
int high;
// Max of child
int max;
IntervalNode *left;
IntervalNode *right;
IntervalNode(int intervalInfo[])
{
this->low = intervalInfo[0];
this->high = intervalInfo[1];
this->max = intervalInfo[1];
this->left = NULL;
this->right = NULL;
}
};
class IntervalTree
{
public: IntervalNode *root;
IntervalTree()
{
this->root = NULL;
}
// This is creates and returns the new Interval tree Node node
void addNode(int intervalInfo[])
{
IntervalNode *node = new IntervalNode(intervalInfo);
if (this->root == NULL)
{
// First node
this->root = node;
return;
}
IntervalNode *auxilary = this->root;
// Add a Interval node into tree
while (auxilary != NULL)
{
if (auxilary->max < node->max)
{
// Change ancestor with new max value
auxilary->max = node->max;
}
if (node->low < auxilary->low)
{
if (auxilary->left == NULL)
{
// Add new node
auxilary->left = node;
return;
}
else
{
// Visit left subtree
auxilary = auxilary->left;
}
}
else
{
if (auxilary->right == NULL)
{
// Add new node
auxilary->right = node;
return;
}
else
{
// Visit right subtree
auxilary = auxilary->right;
}
}
}
}
// Display preorder of interval tree
void preorder(IntervalNode *node)
{
if (node != NULL)
{
cout << "\n Interval : ("
<< node->low << " "
<< node->high << ") , max "
<< node->max;
// Visit left and right subtree using recursively
this->preorder(node->left);
this->preorder(node->right);
}
}
IntervalNode *overlapSearch(IntervalNode *node, int low, int high)
{
if (node == NULL)
{
return NULL;
}
if (node->low <= high && low <= node->high)
{
// When resultant node found
return node;
}
if (node->left != NULL && node->left->max >= low)
{
return this->overlapSearch(node->left, low, high);
}
else
{
return this->overlapSearch(node->right, low, high);
}
}
};
int main()
{
IntervalTree *tree = new IntervalTree();
// Given intervals
// Note intervals pairs are sorted order
int intervalValue[][2] = {
{
22 , 46
} , {
3 , 7
} , {
33 , 52
} , {
23 , 45
} , {
16 , 28
} , {
12 , 38
} , {
24 , 35
} , {
2 , 26
} , {
35 , 46
}
};
// Get number of nodes
int n = sizeof(intervalValue) / sizeof(intervalValue[0]);
// Add tree element
for (int i = 0; i < n; ++i)
{
tree->addNode(intervalValue[i]);
}
/*
Max = 52
(22, 46)
/ \
(38)/ \ (52)
(3, 7) (33, 52)
/ \ / \
(26)/ \(38) /(45) \(46)
(2,26) (16,28)(23, 45) (35,46)
/ \
(38)/ \ (35)
(12 38) (24,35)
--------------------------------
Construct Interval tree
-------------------------------
Preorder
Interval : (22 46) , max 52
Interval : (3 7) , max 38
Interval : (2 26) , max 26
Interval : (16 28) , max 38
Interval : (12 38) , max 38
Interval : (33 52) , max 52
Interval : (23 45) , max 45
Interval : (24 35) , max 35
Interval : (35 46) , max 46
-------------------------------
*/
// Display tree elements
cout << "\n \n Preorder";
tree->preorder(tree->root);
// Search interval
int low = 10;
int high = 21;
IntervalNode *ans = tree->overlapSearch(tree->root, low, high);
if (ans != NULL)
{
cout << "\n Search Interval ("
<< low << "," << high
<< ") at ("
<< ans->low << ","
<< ans->high << ")";
}
else
{
cout << "\n Search Interval ("
<< low << ","
<< high << ") : None";
}
return 0;
}input
Preorder
Interval : (22 46) , max 52
Interval : (3 7) , max 38
Interval : (2 26) , max 26
Interval : (16 28) , max 38
Interval : (12 38) , max 38
Interval : (33 52) , max 52
Interval : (23 45) , max 45
Interval : (24 35) , max 35
Interval : (35 46) , max 46
Search Interval (10,21) at (2,26)package main
import "fmt"
/*
Go Program
Construct interval tree
*/
// Interval Tree node
type IntervalNode struct {
// Interval keys
low int
high int
// Max of child
max int
left * IntervalNode
right * IntervalNode
}
func getIntervalNode(intervalInfo [] int ) * IntervalNode {
var me *IntervalNode = &IntervalNode {}
me.low = intervalInfo[0]
me.high = intervalInfo[1]
me.max = intervalInfo[1]
me.left = nil
me.right = nil
return me
}
type IntervalTree struct {
root * IntervalNode
}
func getIntervalTree() * IntervalTree {
var me *IntervalTree = &IntervalTree {}
me.root = nil
return me
}
// This is creates and returns the new Interval tree Node node
func(this *IntervalTree) addNode(intervalInfo[] int) {
var node * IntervalNode = getIntervalNode(intervalInfo)
if this.root == nil {
// First node
this.root = node
return
}
var auxilary * IntervalNode = this.root
// Add a Interval node into tree
for (auxilary != nil) {
if auxilary.max < node.max {
// Change ancestor with new max value
auxilary.max = node.max
}
if node.low < auxilary.low {
if auxilary.left == nil {
// Add new node
auxilary.left = node
return
} else {
// Visit left subtree
auxilary = auxilary.left
}
} else {
if auxilary.right == nil {
// Add new node
auxilary.right = node
return
} else {
// Visit right subtree
auxilary = auxilary.right
}
}
}
}
// Display preorder of interval tree
func(this IntervalTree) preorder(node * IntervalNode) {
if node != nil {
fmt.Print("\n Interval : (",
node.low, " ", node.high,
") , max ", node.max)
// Visit left and right subtree using recursively
this.preorder(node.left)
this.preorder(node.right)
}
}
func(this IntervalTree) overlapSearch(node * IntervalNode, low int, high int) * IntervalNode {
if node == nil {
return nil
}
if node.low <= high && low <= node.high {
// When resultant node found
return node
}
if node.left != nil && node.left.max >= low {
return this.overlapSearch(node.left, low, high)
} else {
return this.overlapSearch(node.right, low, high)
}
}
func main() {
var tree * IntervalTree = getIntervalTree()
// Given intervals
// Note intervals pairs are sorted order
var intervalValue = [][] int {
{
22,
46,
}, {
3,
7,
}, {
33,
52,
}, {
23,
45,
}, {
16,
28,
}, {
12,
38,
}, {
24,
35,
}, {
2,
26,
}, {
35,
46,
},
}
// Get number of nodes
var n int = len(intervalValue)
// Add tree element
for i := 0 ; i < n ; i++ {
tree.addNode(intervalValue[i])
}
/*
Max = 52
(22, 46)
/ \
(38)/ \ (52)
(3, 7) (33, 52)
/ \ / \
(26)/ \(38) /(45) \(46)
(2,26) (16,28)(23, 45) (35,46)
/ \
(38)/ \ (35)
(12 38) (24,35)
--------------------------------
Construct Interval tree
-------------------------------
Preorder
Interval : (22 46) , max 52
Interval : (3 7) , max 38
Interval : (2 26) , max 26
Interval : (16 28) , max 38
Interval : (12 38) , max 38
Interval : (33 52) , max 52
Interval : (23 45) , max 45
Interval : (24 35) , max 35
Interval : (35 46) , max 46
-------------------------------
*/
// Display tree elements
fmt.Print("\n \n Preorder")
tree.preorder(tree.root)
// Search interval
var low int = 10
var high int = 21
var ans * IntervalNode = tree.overlapSearch(tree.root, low, high)
if ans != nil {
fmt.Print("\n Search Interval (", low, ",", high, ") at (",
ans.low, ",", ans.high, ")")
} else {
fmt.Print("\n Search Interval (",
low, ",", high, ") : None")
}
}input
Preorder
Interval : (22 46) , max 52
Interval : (3 7) , max 38
Interval : (2 26) , max 26
Interval : (16 28) , max 38
Interval : (12 38) , max 38
Interval : (33 52) , max 52
Interval : (23 45) , max 45
Interval : (24 35) , max 35
Interval : (35 46) , max 46
Search Interval (10,21) at (2,26)// Include namespace system
using System;
/*
Csharp Program
Construct interval tree
*/
// Interval Tree node
public class IntervalNode
{
// Interval keys
public int low;
public int high;
// Max of child
public int max;
public IntervalNode left;
public IntervalNode right;
public IntervalNode(int low, int high)
{
this.low = low;
this.high = high;
this.max = high;
this.left = null;
this.right = null;
}
}
public class IntervalTree
{
public IntervalNode root;
public IntervalTree()
{
this.root = null;
}
// This is creates and returns the new Interval tree Node node
public void addNode(int low, int high)
{
IntervalNode node = new IntervalNode(low, high);
if (this.root == null)
{
// First node
this.root = node;
return;
}
IntervalNode auxilary = this.root;
// Add a Interval node into tree
while (auxilary != null)
{
if (auxilary.max < node.max)
{
// Change ancestor with new max value
auxilary.max = node.max;
}
if (node.low < auxilary.low)
{
if (auxilary.left == null)
{
// Add new node
auxilary.left = node;
return;
}
else
{
// Visit left subtree
auxilary = auxilary.left;
}
}
else
{
if (auxilary.right == null)
{
// Add new node
auxilary.right = node;
return;
}
else
{
// Visit right subtree
auxilary = auxilary.right;
}
}
}
}
// Display preorder of interval tree
public void preorder(IntervalNode node)
{
if (node != null)
{
Console.Write("\n Interval : (" + node.low + " " + node.high + ") , max " + node.max);
// Visit left and right subtree using recursively
this.preorder(node.left);
this.preorder(node.right);
}
}
public IntervalNode overlapSearch(IntervalNode node, int low, int high)
{
if (node == null)
{
return null;
}
if (node.low <= high && low <= node.high)
{
// When resultant node found
return node;
}
if (node.left != null && node.left.max >= low)
{
return this.overlapSearch(node.left, low, high);
}
else
{
return this.overlapSearch(node.right, low, high);
}
}
public static void Main(String[] args)
{
IntervalTree tree = new IntervalTree();
// Given intervals
// Note intervals pairs are sorted order
int[,] intervalValue = {
{
22 , 46
},
{
3 , 7
},
{
33 , 52
},
{
23 , 45
},
{
16 , 28
},
{
12 , 38
},
{
24 , 35
},
{
2 , 26
},
{
35 , 46
}
};
// Get number of nodes
int n = intervalValue.GetLength(0);
// Add tree element
for (int i = 0; i < n; ++i)
{
tree.addNode(intervalValue[i,0],intervalValue[i,1]);
}
/*
Max = 52
(22, 46)
/ \
(38)/ \ (52)
(3, 7) (33, 52)
/ \ / \
(26)/ \(38) /(45) \(46)
(2,26) (16,28)(23, 45) (35,46)
/ \
(38)/ \ (35)
(12 38) (24,35)
--------------------------------
Construct Interval tree
-------------------------------
Preorder
Interval : (22 46) , max 52
Interval : (3 7) , max 38
Interval : (2 26) , max 26
Interval : (16 28) , max 38
Interval : (12 38) , max 38
Interval : (33 52) , max 52
Interval : (23 45) , max 45
Interval : (24 35) , max 35
Interval : (35 46) , max 46
-------------------------------
*/
// Display tree elements
Console.Write("\n \n Preorder");
tree.preorder(tree.root);
// Search interval
int low = 10;
int high = 21;
IntervalNode ans = tree.overlapSearch(tree.root, low, high);
if (ans != null)
{
Console.Write("\n Search Interval (" + low + "," + high + ") at (" + ans.low + "," + ans.high + ")");
}
else
{
Console.Write("\n Search Interval (" + low + "," + high + ") : None");
}
}
}input
Preorder
Interval : (22 46) , max 52
Interval : (3 7) , max 38
Interval : (2 26) , max 26
Interval : (16 28) , max 38
Interval : (12 38) , max 38
Interval : (33 52) , max 52
Interval : (23 45) , max 45
Interval : (24 35) , max 35
Interval : (35 46) , max 46
Search Interval (10,21) at (2,26)<?php
/*
Php Program
Construct interval tree
*/
// Interval Tree node
class IntervalNode
{
// Interval keys
public $low;
public $high;
// Max of child
public $max;
public $left;
public $right;
public function __construct($intervalInfo)
{
$this->low = $intervalInfo[0];
$this->high = $intervalInfo[1];
$this->max = $intervalInfo[1];
$this->left = NULL;
$this->right = NULL;
}
}
class IntervalTree
{
public $root;
public function __construct()
{
$this->root = NULL;
}
// This is creates and returns the new Interval tree Node node
public function addNode($intervalInfo)
{
$node = new IntervalNode($intervalInfo);
if ($this->root == NULL)
{
// First node
$this->root = $node;
return;
}
$auxilary = $this->root;
// Add a Interval node into tree
while ($auxilary != NULL)
{
if ($auxilary->max < $node->max)
{
// Change ancestor with new max value
$auxilary->max = $node->max;
}
if ($node->low < $auxilary->low)
{
if ($auxilary->left == NULL)
{
// Add new node
$auxilary->left = $node;
return;
}
else
{
// Visit left subtree
$auxilary = $auxilary->left;
}
}
else
{
if ($auxilary->right == NULL)
{
// Add new node
$auxilary->right = $node;
return;
}
else
{
// Visit right subtree
$auxilary = $auxilary->right;
}
}
}
}
// Display preorder of interval tree
public function preorder($node)
{
if ($node != NULL)
{
echo("\n Interval : (".$node->low.
" ".$node->high.
") , max ".$node->max);
// Visit left and right subtree using recursively
$this->preorder($node->left);
$this->preorder($node->right);
}
}
public function overlapSearch($node, $low, $high)
{
if ($node == NULL)
{
return NULL;
}
if ($node->low <= $high && $low <= $node->high)
{
// When resultant node found
return $node;
}
if ($node->left != NULL && $node->left->max >= $low)
{
return $this->overlapSearch($node->left, $low, $high);
}
else
{
return $this->overlapSearch($node->right, $low, $high);
}
}
}
function main()
{
$tree = new IntervalTree();
// Given intervals
// Note intervals pairs are sorted order
$intervalValue = array(
array(22, 46), array(3, 7),
array(33, 52), array(23, 45),
array(16, 28), array(12, 38),
array(24, 35), array(2, 26),
array(35, 46)
);
// Get number of nodes
$n = count($intervalValue);
// Add tree element
for ($i = 0; $i < $n; ++$i)
{
$tree->addNode($intervalValue[$i]);
}
/*
Max = 52
(22, 46)
/ \
(38)/ \ (52)
(3, 7) (33, 52)
/ \ / \
(26)/ \(38) /(45) \(46)
(2,26) (16,28)(23, 45) (35,46)
/ \
(38)/ \ (35)
(12 38) (24,35)
--------------------------------
Construct Interval tree
-------------------------------
Preorder
Interval : (22 46) , max 52
Interval : (3 7) , max 38
Interval : (2 26) , max 26
Interval : (16 28) , max 38
Interval : (12 38) , max 38
Interval : (33 52) , max 52
Interval : (23 45) , max 45
Interval : (24 35) , max 35
Interval : (35 46) , max 46
-------------------------------
*/
// Display tree elements
echo("\n \n Preorder");
$tree->preorder($tree->root);
// Search interval
$low = 10;
$high = 21;
$ans = $tree->overlapSearch($tree->root, $low, $high);
if ($ans != NULL)
{
echo("\n Search Interval (".$low.
",".$high.
") at (".$ans->low.
",".$ans->high.
")");
}
else
{
echo("\n Search Interval (".$low.
",".$high.
") : None");
}
}
main();input
Preorder
Interval : (22 46) , max 52
Interval : (3 7) , max 38
Interval : (2 26) , max 26
Interval : (16 28) , max 38
Interval : (12 38) , max 38
Interval : (33 52) , max 52
Interval : (23 45) , max 45
Interval : (24 35) , max 35
Interval : (35 46) , max 46
Search Interval (10,21) at (2,26)/*
Node JS Program
Construct interval tree
*/
// Interval Tree node
class IntervalNode
{
constructor(intervalInfo)
{
this.low = intervalInfo[0];
this.high = intervalInfo[1];
this.max = intervalInfo[1];
this.left = null;
this.right = null;
}
}
class IntervalTree
{
constructor()
{
this.root = null;
}
// This is creates and returns the new Interval tree Node node
addNode(intervalInfo)
{
var node = new IntervalNode(intervalInfo);
if (this.root == null)
{
// First node
this.root = node;
return;
}
var auxilary = this.root;
// Add a Interval node into tree
while (auxilary != null)
{
if (auxilary.max < node.max)
{
// Change ancestor with new max value
auxilary.max = node.max;
}
if (node.low < auxilary.low)
{
if (auxilary.left == null)
{
// Add new node
auxilary.left = node;
return;
}
else
{
// Visit left subtree
auxilary = auxilary.left;
}
}
else
{
if (auxilary.right == null)
{
// Add new node
auxilary.right = node;
return;
}
else
{
// Visit right subtree
auxilary = auxilary.right;
}
}
}
}
// Display preorder of interval tree
preorder(node)
{
if (node != null)
{
process.stdout.write("\n Interval : (" +
node.low + " " + node.high + ") , max " +
node.max);
// Visit left and right subtree using recursively
this.preorder(node.left);
this.preorder(node.right);
}
}
overlapSearch(node, low, high)
{
if (node == null)
{
return null;
}
if (node.low <= high && low <= node.high)
{
// When resultant node found
return node;
}
if (node.left != null && node.left.max >= low)
{
return this.overlapSearch(node.left, low, high);
}
else
{
return this.overlapSearch(node.right, low, high);
}
}
}
function main()
{
var tree = new IntervalTree();
// Given intervals
// Note intervals pairs are sorted order
var intervalValue = [
[22, 46],
[3, 7],
[33, 52],
[23, 45],
[16, 28],
[12, 38],
[24, 35],
[2, 26],
[35, 46]
];
// Get number of nodes
var n = intervalValue.length;
// Add tree element
for (var i = 0; i < n; ++i)
{
tree.addNode(intervalValue[i]);
}
/*
Max = 52
(22, 46)
/ \
(38)/ \ (52)
(3, 7) (33, 52)
/ \ / \
(26)/ \(38) /(45) \(46)
(2,26) (16,28)(23, 45) (35,46)
/ \
(38)/ \ (35)
(12 38) (24,35)
--------------------------------
Construct Interval tree
-------------------------------
Preorder
Interval : (22 46) , max 52
Interval : (3 7) , max 38
Interval : (2 26) , max 26
Interval : (16 28) , max 38
Interval : (12 38) , max 38
Interval : (33 52) , max 52
Interval : (23 45) , max 45
Interval : (24 35) , max 35
Interval : (35 46) , max 46
-------------------------------
*/
// Display tree elements
process.stdout.write("\n \n Preorder");
tree.preorder(tree.root);
// Search interval
var low = 10;
var high = 21;
var ans = tree.overlapSearch(tree.root, low, high);
if (ans != null)
{
process.stdout.write("\n Search Interval (" +
low + "," + high + ") at (" + ans.low + "," + ans.high + ")");
}
else
{
process.stdout.write("\n Search Interval (" +
low + "," + high + ") : None");
}
}
main();input
Preorder
Interval : (22 46) , max 52
Interval : (3 7) , max 38
Interval : (2 26) , max 26
Interval : (16 28) , max 38
Interval : (12 38) , max 38
Interval : (33 52) , max 52
Interval : (23 45) , max 45
Interval : (24 35) , max 35
Interval : (35 46) , max 46
Search Interval (10,21) at (2,26)# Python 3 Program
# Construct interval tree
# Interval Tree node
class IntervalNode :
# Interval keys
# Max of child
def __init__(self, intervalInfo) :
self.low = intervalInfo[0]
self.high = intervalInfo[1]
self.max = intervalInfo[1]
self.left = None
self.right = None
class IntervalTree :
def __init__(self) :
self.root = None
# This is creates and returns the new Interval tree Node node
def addNode(self, intervalInfo) :
node = IntervalNode(intervalInfo)
if (self.root == None) :
# First node
self.root = node
return
auxilary = self.root
# Add a Interval node into tree
while (auxilary != None) :
if (auxilary.max < node.max) :
# Change ancestor with new max value
auxilary.max = node.max
if (node.low < auxilary.low) :
if (auxilary.left == None) :
# Add new node
auxilary.left = node
return
else :
# Visit left subtree
auxilary = auxilary.left
else :
if (auxilary.right == None) :
# Add new node
auxilary.right = node
return
else :
# Visit right subtree
auxilary = auxilary.right
# Display preorder of interval tree
def preorder(self, node) :
if (node != None) :
print("\n Interval : (",
node.low ," ", node.high ,") , max ",
node.max, end = "")
# Visit left and right subtree using recursively
self.preorder(node.left)
self.preorder(node.right)
def overlapSearch(self, node, low, high) :
if (node == None) :
return None
if (node.low <= high and low <= node.high) :
# When resultant node found
return node
if (node.left != None and node.left.max >= low) :
return self.overlapSearch(node.left, low, high)
else :
return self.overlapSearch(node.right, low, high)
def main() :
tree = IntervalTree()
# Given intervals
# Note intervals pairs are sorted order
intervalValue = [
[22, 46],
[3, 7],
[33, 52],
[23, 45],
[16, 28],
[12, 38],
[24, 35],
[2, 26],
[35, 46]
]
# Get number of nodes
n = len(intervalValue)
i = 0
# Add tree element
while (i < n) :
tree.addNode(intervalValue[i])
i += 1
# Max = 52
# (22, 46)
# / \
# (38)/ \ (52)
# (3, 7) (33, 52)
# / \ / \
# (26)/ \(38) /(45) \(46)
# (2,26) (16,28)(23, 45) (35,46)
# / \
# (38)/ \ (35)
# (12 38) (24,35)
# --------------------------------
# Construct Interval tree
# -------------------------------
# Preorder
# Interval : (22 46) , max 52
# Interval : (3 7) , max 38
# Interval : (2 26) , max 26
# Interval : (16 28) , max 38
# Interval : (12 38) , max 38
# Interval : (33 52) , max 52
# Interval : (23 45) , max 45
# Interval : (24 35) , max 35
# Interval : (35 46) , max 46
# -------------------------------
# Display tree elements
print("\n \n Preorder", end = "")
tree.preorder(tree.root)
# Search interval
low = 10
high = 21
ans = tree.overlapSearch(tree.root, low, high)
if (ans != None) :
print("\n Search Interval (",
low ,",", high ,") at (",
ans.low ,",", ans.high ,")", end = "")
else :
print("\n Search Interval (",
low ,",", high ,") : None", end = "")
if __name__ == "__main__": main()input
Preorder
Interval : ( 22 46 ) , max 52
Interval : ( 3 7 ) , max 38
Interval : ( 2 26 ) , max 26
Interval : ( 16 28 ) , max 38
Interval : ( 12 38 ) , max 38
Interval : ( 33 52 ) , max 52
Interval : ( 23 45 ) , max 45
Interval : ( 24 35 ) , max 35
Interval : ( 35 46 ) , max 46
Search Interval ( 10 , 21 ) at ( 2 , 26 )# Ruby Program
# Construct interval tree
# Interval Tree node
class IntervalNode
# Define the accessor and reader of class IntervalNode
attr_reader :low, :high, :max, :left, :right
attr_accessor :low, :high, :max, :left, :right
# Interval keys
# Max of child
def initialize(intervalInfo)
self.low = intervalInfo[0]
self.high = intervalInfo[1]
self.max = intervalInfo[1]
self.left = nil
self.right = nil
end
end
class IntervalTree
# Define the accessor and reader of class IntervalTree
attr_reader :root
attr_accessor :root
def initialize()
self.root = nil
end
# This is creates and returns the new Interval tree Node node
def addNode(intervalInfo)
node = IntervalNode.new(intervalInfo)
if (self.root == nil)
# First node
self.root = node
return
end
auxilary = self.root
# Add a Interval node into tree
while (auxilary != nil)
if (auxilary.max < node.max)
# Change ancestor with new max value
auxilary.max = node.max
end
if (node.low < auxilary.low)
if (auxilary.left == nil)
# Add new node
auxilary.left = node
return
else
# Visit left subtree
auxilary = auxilary.left
end
else
if (auxilary.right == nil)
# Add new node
auxilary.right = node
return
else
# Visit right subtree
auxilary = auxilary.right
end
end
end
end
# Display preorder of interval tree
def preorder(node)
if (node != nil)
print("\n Interval : (",
node.low ," ", node.high ,") , max ", node.max)
# Visit left and right subtree using recursively
self.preorder(node.left)
self.preorder(node.right)
end
end
def overlapSearch(node, low, high)
if (node == nil)
return nil
end
if (node.low <= high && low <= node.high)
# When resultant node found
return node
end
if (node.left != nil && node.left.max >= low)
return self.overlapSearch(node.left, low, high)
else
return self.overlapSearch(node.right, low, high)
end
end
end
def main()
tree = IntervalTree.new()
# Given intervals
# Note intervals pairs are sorted order
intervalValue = [
[22, 46],
[3, 7],
[33, 52],
[23, 45],
[16, 28],
[12, 38],
[24, 35],
[2, 26],
[35, 46]
]
# Get number of nodes
n = intervalValue.length
i = 0
# Add tree element
while (i < n)
tree.addNode(intervalValue[i])
i += 1
end
# Max = 52
# (22, 46)
# / \
# (38)/ \ (52)
# (3, 7) (33, 52)
# / \ / \
# (26)/ \(38) /(45) \(46)
# (2,26) (16,28)(23, 45) (35,46)
# / \
# (38)/ \ (35)
# (12 38) (24,35)
# --------------------------------
# Construct Interval tree
# -------------------------------
# Preorder
# Interval : (22 46) , max 52
# Interval : (3 7) , max 38
# Interval : (2 26) , max 26
# Interval : (16 28) , max 38
# Interval : (12 38) , max 38
# Interval : (33 52) , max 52
# Interval : (23 45) , max 45
# Interval : (24 35) , max 35
# Interval : (35 46) , max 46
# -------------------------------
# Display tree elements
print("\n \n Preorder")
tree.preorder(tree.root)
# Search interval
low = 10
high = 21
ans = tree.overlapSearch(tree.root, low, high)
if (ans != nil)
print("\n Search Interval (",
low ,",", high ,") at (", ans.low ,",", ans.high ,")")
else
print("\n Search Interval (",
low ,",", high ,") : None")
end
end
main()input
Preorder
Interval : (22 46) , max 52
Interval : (3 7) , max 38
Interval : (2 26) , max 26
Interval : (16 28) , max 38
Interval : (12 38) , max 38
Interval : (33 52) , max 52
Interval : (23 45) , max 45
Interval : (24 35) , max 35
Interval : (35 46) , max 46
Search Interval (10,21) at (2,26)/*
Scala Program
Construct interval tree
*/
// Interval Tree node
class IntervalNode(
// Interval keys
var low: Int,
var high: Int,
// Max of child
var max: Int,
var left: IntervalNode,
var right: IntervalNode)
{
def this(intervalInfo: Array[Int])
{
this(intervalInfo(0),intervalInfo(1),intervalInfo(1), null,null);
}
}
class IntervalTree(var root: IntervalNode)
{
def this()
{
this(null);
}
// This is creates and returns the new Interval tree Node node
def addNode(intervalInfo: Array[Int]): Unit = {
var node: IntervalNode = new IntervalNode(intervalInfo);
if (this.root == null)
{
// First node
this.root = node;
return;
}
var auxilary: IntervalNode = this.root;
// Add a Interval node into tree
while (auxilary != null)
{
if (auxilary.max < node.max)
{
// Change ancestor with new max value
auxilary.max = node.max;
}
if (node.low < auxilary.low)
{
if (auxilary.left == null)
{
// Add new node
auxilary.left = node;
return;
}
else
{
// Visit left subtree
auxilary = auxilary.left;
}
}
else
{
if (auxilary.right == null)
{
// Add new node
auxilary.right = node;
return;
}
else
{
// Visit right subtree
auxilary = auxilary.right;
}
}
}
}
// Display preorder of interval tree
def preorder(node: IntervalNode): Unit = {
if (node != null)
{
print("\n Interval : (" +
node.low + " " + node.high + ") , max " + node.max);
// Visit left and right subtree using recursively
preorder(node.left);
preorder(node.right);
}
}
def overlapSearch(node: IntervalNode,
low: Int,
high: Int): IntervalNode = {
if (node == null)
{
return null;
}
if (node.low <= high && low <= node.high)
{
// When resultant node found
return node;
}
if (node.left != null && node.left.max >= low)
{
return overlapSearch(node.left, low, high);
}
else
{
return overlapSearch(node.right, low, high);
}
}
}
object Main
{
def main(args: Array[String]): Unit = {
var tree: IntervalTree = new IntervalTree();
// Given intervals
// Note intervals pairs are sorted order
var intervalValue: Array[Array[Int]] =
Array(
Array(22, 46),
Array(3, 7),
Array(33, 52),
Array(23, 45),
Array(16, 28),
Array(12, 38),
Array(24, 35),
Array(2, 26),
Array(35, 46)
);
// Get number of nodes
var n: Int = intervalValue.length;
var i: Int = 0;
// Add tree element
while (i < n)
{
tree.addNode(intervalValue(i));
i += 1;
}
/*
Max = 52
(22, 46)
/ \
(38)/ \ (52)
(3, 7) (33, 52)
/ \ / \
(26)/ \(38) /(45) \(46)
(2,26) (16,28)(23, 45) (35,46)
/ \
(38)/ \ (35)
(12 38) (24,35)
--------------------------------
Construct Interval tree
-------------------------------
Preorder
Interval : (22 46) , max 52
Interval : (3 7) , max 38
Interval : (2 26) , max 26
Interval : (16 28) , max 38
Interval : (12 38) , max 38
Interval : (33 52) , max 52
Interval : (23 45) , max 45
Interval : (24 35) , max 35
Interval : (35 46) , max 46
-------------------------------
*/
// Display tree elements
print("\n \n Preorder");
tree.preorder(tree.root);
// Search interval
var low: Int = 10;
var high: Int = 21;
var ans: IntervalNode = tree.overlapSearch(tree.root, low, high);
if (ans != null)
{
print("\n Search Interval (" + low + "," + high + ") at (" + ans.low + "," + ans.high + ")");
}
else
{
print("\n Search Interval (" + low + "," + high + ") : None");
}
}
}input
Preorder
Interval : (22 46) , max 52
Interval : (3 7) , max 38
Interval : (2 26) , max 26
Interval : (16 28) , max 38
Interval : (12 38) , max 38
Interval : (33 52) , max 52
Interval : (23 45) , max 45
Interval : (24 35) , max 35
Interval : (35 46) , max 46
Search Interval (10,21) at (2,26)import Foundation;
/*
Swift 4 Program
Construct interval tree
*/
// Interval Tree node
class IntervalNode
{
// Interval keys
var low: Int;
var high: Int;
// Max of child
var max: Int;
var left: IntervalNode? ;
var right: IntervalNode? ;
init(_ intervalInfo: [Int])
{
self.low = intervalInfo[0];
self.high = intervalInfo[1];
self.max = intervalInfo[1];
self.left = nil;
self.right = nil;
}
}
class IntervalTree
{
var root: IntervalNode? ;
init()
{
self.root = nil;
}
// This is creates and returns the new Interval tree Node node
func addNode(_ intervalInfo: [Int])
{
let node = IntervalNode(intervalInfo);
if (self.root == nil)
{
// First node
self.root = node;
return;
}
var auxilary = self.root;
// Add a Interval node into tree
while (auxilary != nil)
{
if (auxilary!.max < node.max)
{
// Change ancestor with new max value
auxilary!.max = node.max;
}
if (node.low < auxilary!.low)
{
if (auxilary!.left == nil)
{
// Add new node
auxilary!.left = node;
return;
}
else
{
// Visit left subtree
auxilary = auxilary!.left;
}
}
else
{
if (auxilary!.right == nil)
{
// Add new node
auxilary!.right = node;
return;
}
else
{
// Visit right subtree
auxilary = auxilary!.right;
}
}
}
}
// Display preorder of interval tree
func preorder(_ node: IntervalNode? )
{
if (node != nil)
{
print("\n Interval : (",
node!.low ," ", node!.high ,") , max ",
node!.max, terminator: "");
// Visit left and right subtree using recursively
self.preorder(node!.left);
self.preorder(node!.right);
}
}
func overlapSearch(_ node: IntervalNode? ,
_ low : Int, _ high: Int) -> IntervalNode?
{
if (node == nil)
{
return nil;
}
if (node!.low <= high && low <= node!.high)
{
// When resultant node found
return node;
}
if (node!.left != nil && node!.left!.max >= low)
{
return self.overlapSearch(node!.left, low, high);
}
else
{
return self.overlapSearch(node!.right, low, high);
}
}
}
func main()
{
let tree = IntervalTree();
// Given intervals
// Note intervals pairs are sorted order
let intervalValue = [
[22, 46],
[3, 7],
[33, 52],
[23, 45],
[16, 28],
[12, 38],
[24, 35],
[2, 26],
[35, 46]
];
// Get number of nodes
let n = intervalValue.count;
var i = 0;
// Add tree element
while (i < n)
{
tree.addNode(intervalValue[i]);
i += 1;
}
/*
Max = 52
(22, 46)
/ \
(38)/ \ (52)
(3, 7) (33, 52)
/ \ / \
(26)/ \(38) /(45) \(46)
(2,26) (16,28)(23, 45) (35,46)
/ \
(38)/ \ (35)
(12 38) (24,35)
--------------------------------
Construct Interval tree
-------------------------------
Preorder
Interval : (22 46) , max 52
Interval : (3 7) , max 38
Interval : (2 26) , max 26
Interval : (16 28) , max 38
Interval : (12 38) , max 38
Interval : (33 52) , max 52
Interval : (23 45) , max 45
Interval : (24 35) , max 35
Interval : (35 46) , max 46
-------------------------------
*/
// Display tree elements
print("\n \n Preorder", terminator: "");
tree.preorder(tree.root);
// Search interval
let low = 10;
let high = 21;
let ans = tree.overlapSearch(tree.root, low, high);
if (ans != nil)
{
print("\n Search Interval (",
low ,",", high ,") at (",
ans!.low ,",", ans!.high ,")",
terminator: "");
}
else
{
print("\n Search Interval (",
low ,",", high ,") : None",
terminator: "");
}
}
main();input
Preorder
Interval : ( 22 46 ) , max 52
Interval : ( 3 7 ) , max 38
Interval : ( 2 26 ) , max 26
Interval : ( 16 28 ) , max 38
Interval : ( 12 38 ) , max 38
Interval : ( 33 52 ) , max 52
Interval : ( 23 45 ) , max 45
Interval : ( 24 35 ) , max 35
Interval : ( 35 46 ) , max 46
Search Interval ( 10 , 21 ) at ( 2 , 26 )/*
Kotlin Program
Construct interval tree
*/
// Interval Tree node
class IntervalNode
{
// Interval keys
var low: Int;
var high: Int;
// Max of child
var max: Int;
var left: IntervalNode ? ;
var right: IntervalNode ? ;
constructor(intervalInfo: Array < Int > )
{
this.low = intervalInfo[0];
this.high = intervalInfo[1];
this.max = intervalInfo[1];
this.left = null;
this.right = null;
}
}
class IntervalTree
{
var root: IntervalNode ? ;
constructor()
{
this.root = null;
}
// This is creates and returns the new Interval tree Node node
fun addNode(intervalInfo: Array < Int > ): Unit
{
val node: IntervalNode = IntervalNode(intervalInfo);
if (this.root == null)
{
// First node
this.root = node;
return;
}
var auxilary: IntervalNode ? = this.root;
// Add a Interval node into tree
while (auxilary != null)
{
if (auxilary.max < node.max)
{
// Change ancestor with new max value
auxilary.max = node.max;
}
if (node.low < auxilary.low)
{
if (auxilary.left == null)
{
// Add new node
auxilary.left = node;
return;
}
else
{
// Visit left subtree
auxilary = auxilary.left;
}
}
else
{
if (auxilary.right == null)
{
// Add new node
auxilary.right = node;
return;
}
else
{
// Visit right subtree
auxilary = auxilary.right;
}
}
}
}
// Display preorder of interval tree
fun preorder(node: IntervalNode ? ): Unit
{
if (node != null)
{
print("\n Interval : (" +
node.low + " " + node.high + ") , max " + node.max);
// Visit left and right subtree using recursively
this.preorder(node.left);
this.preorder(node.right);
}
}
fun overlapSearch(node: IntervalNode ? , low : Int, high: Int): IntervalNode ?
{
if (node == null)
{
return null;
}
if (node.low <= high && low <= node.high)
{
// When resultant node found
return node;
}
if (node.left != null && node.left!!.max >= low)
{
return this.overlapSearch(node.left, low, high);
}
else
{
return this.overlapSearch(node.right, low, high);
}
}
}
fun main(args: Array < String > ): Unit
{
val tree: IntervalTree = IntervalTree();
// Given intervals
// Note intervals pairs are sorted order
val intervalValue: Array < Array < Int >> =
arrayOf(
arrayOf(22, 46),
arrayOf(3, 7),
arrayOf(33, 52),
arrayOf(23, 45),
arrayOf(16, 28),
arrayOf(12, 38),
arrayOf(24, 35),
arrayOf(2, 26),
arrayOf(35, 46)
);
// Get number of nodes
val n: Int = intervalValue.count();
var i: Int = 0;
// Add tree element
while (i < n)
{
tree.addNode(intervalValue[i]);
i += 1;
}
/*
Max = 52
(22, 46)
/ \
(38)/ \ (52)
(3, 7) (33, 52)
/ \ / \
(26)/ \(38) /(45) \(46)
(2,26) (16,28)(23, 45) (35,46)
/ \
(38)/ \ (35)
(12 38) (24,35)
--------------------------------
Construct Interval tree
-------------------------------
Preorder
Interval : (22 46) , max 52
Interval : (3 7) , max 38
Interval : (2 26) , max 26
Interval : (16 28) , max 38
Interval : (12 38) , max 38
Interval : (33 52) , max 52
Interval : (23 45) , max 45
Interval : (24 35) , max 35
Interval : (35 46) , max 46
-------------------------------
*/
// Display tree elements
print("\n \n Preorder");
tree.preorder(tree.root);
// Search interval
val low: Int = 10;
val high: Int = 21;
val ans: IntervalNode? = tree.overlapSearch(tree.root, low, high);
if (ans != null)
{
print("\n Search Interval (" +
low + "," + high + ") at (" +
ans.low + "," + ans.high + ")");
}
else
{
print("\n Search Interval (" + low + "," + high + ") : None");
}
}input
Preorder
Interval : (22 46) , max 52
Interval : (3 7) , max 38
Interval : (2 26) , max 26
Interval : (16 28) , max 38
Interval : (12 38) , max 38
Interval : (33 52) , max 52
Interval : (23 45) , max 45
Interval : (24 35) , max 35
Interval : (35 46) , max 46
Search Interval (10,21) at (2,26)
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