# Vertical Sum of given Binary Tree

Here given code implementation process.

``````/*
C Program
+ Find Vertical Sum in a given Binary Tree
*/
#include<stdio.h>

#include<stdlib.h>
//structure of Binary Tree node
struct Node {
int data;
struct Node *left, *right;
};

struct List {
int order, data;
struct List *next;

};
//Create a binary tree nodes and node fields (data,pointer)
//And returning the reference of newly nodes

struct Node *insert(int data) {
//create dynamic memory to new binary tree node
struct Node *new_node = (struct Node *) malloc(sizeof(struct Node));
if (new_node != NULL) {
//set data and pointer values
new_node->data = data;
new_node->left = NULL; //Initially node left-pointer is NULL
new_node->right = NULL; //Initially node right-pointer is NULL
} else {
printf("Memory Overflow\n");
exit(0); //Terminate program execution
}
//return reference
return new_node;

}
//When vertical nodes are already exist in same then
//updating its value to add new data
void addList(struct List **result, int order, int data) {

struct List *temp = *result;
int status = 1;
//Check vertical node alrady exist or not
while (temp != NULL) {
if (temp->order == order) {
status = 0;
//when vertical order exist
temp->data += data; //add vertical node data
break;
}
temp = temp->next;
}
if (status == 0) {
return;
}

struct List *new_node = NULL, *per = NULL;

new_node = (struct List *) malloc(sizeof(struct List));

new_node->next = NULL;
new_node->data = data;
new_node->order = order;
if ( *result != NULL) {
temp = *result;
if (temp->order > order) {
//smallest element
new_node->next = *result;
*result = new_node;
} else {

while (temp != NULL && temp->order < order) {
per = temp;
temp = temp->next;
}
new_node->next = per->next;
per->next = new_node;

}

} else {
//When first element of list
*result = new_node;
}
}
void removeList(struct List **bucket) {
struct List *temp = NULL;
while ( *bucket) {
temp = *bucket;
*bucket = temp->next;
free(temp);
temp = NULL;
}
}

void get_vertical(struct Node *node, struct List **bucket, int order) {

if (node != NULL) {

get_vertical(node->left, bucket, order - 1);

get_vertical(node->right, bucket, order + 1);
}
}
void vertical_sum(struct List *bucket) {
struct List *temp = bucket;

while (temp != NULL) {
printf("%4d", temp->data);
temp = temp->next;
}

}
int main() {

struct Node *root = NULL;
struct List *bucket = NULL;

/* Make A Binary Tree
-----------------------
4
/  \
3    10
/    /  \
2    9    11
/ \
5   12
/  \
8    7
*/
//Insertion of binary tree nodes
root = insert(4);
root->left = insert(3);
root->left->left = insert(2);
root->right = insert(10);
root->right->right = insert(11);
root->right->left = insert(9);
root->right->left->left = insert(5);

root->right->left->right = insert(12);
root->right->left->right->right = insert(7);
root->right->left->right->left = insert(8);
get_vertical(root, & bucket, 0);
vertical_sum(bucket);
removeList( & bucket);

return 0;
}```
```

#### Output

``2   8  21  22  18``
``````/*
C++ Program
Find Vertical Sum in a given Binary Tree
*/
#include<iostream>

using namespace std;
class Node {
public:
int data;
Node *left, *right;
Node(int value) {
this->data = value;
this->left = this->right = NULL;
}
};
class MyList {
public:
int order, data;
MyList *next;
MyList(int level, int value) {
this->order = level;
this->data = value;
this->next = NULL;
}
};
class BinaryTree {
public:
Node *root;
MyList *bucket;
BinaryTree() {
this->root = NULL;
this->bucket = NULL;
}
void addList(int level, int value) {
MyList *temp = this->bucket;
int status = 1;
while (temp != NULL) {
if (temp->order == level) {
status = 0;
temp->data += value;
break;;
}
temp = temp->next;
}
if (status == 0) {
return;
}
MyList *new_node = NULL, *per = NULL;
new_node = new MyList(level, value);
if (this->bucket != NULL) {
temp = this->bucket;
if (temp->order > level) {
new_node->next = this->bucket;
this->bucket = new_node;
} else {
while (temp != NULL && temp->order < level) {
per = temp;
temp = temp->next;
}
new_node->next = per->next;
per->next = new_node;
}
} else {
this->bucket = new_node;
}
}
void removeList() {
MyList *temp = NULL;
while (this->bucket != NULL) {
temp = this->bucket;
this->bucket = temp->next;
temp = NULL;
}
}
void get_vertical(Node *head, int level) {
}
}
void vertical_sum() {
MyList *temp = this->bucket;
while (temp != NULL) {
cout << "  " << temp->data;
temp = temp->next;
}
}
};

int main() {
BinaryTree obj ;
/* Make A Binary Tree
-----------------------
4
/  \
3    10
/    /  \
2    9    11
/ \
5   12
/  \
8    7
*/
obj.root = new Node(4);
obj.root->left = new Node(3);
obj.root->left->left = new Node(2);
obj.root->right = new Node(10);
obj.root->right->right = new Node(11);
obj.root->right->left = new Node(9);
obj.root->right->left->left = new Node(5);
obj.root->right->left->right = new Node(12);
obj.root->right->left->right->right = new Node(7);
obj.root->right->left->right->left = new Node(8);
obj.get_vertical(obj.root, 0);
obj.vertical_sum();
obj.removeList();
}```
```

#### Output

``2   8  21  22  18``
``````/*
Java Program
Find Vertical Sum in a given Binary Tree
*/

//Class of Binary Tree node
class Node {

public int data;
public Node left, right;
//Make a tree node
public Node(int value) {
//Assign field values
data = value;
left = right = null;
}
}

class MyList {
public int order, data;
public MyList next;
public MyList(int level, int value) {
order = level;
data = value;
next = null;
}
}
public class BinaryTree {

public Node root;
public MyList bucket;

public BinaryTree() {
//Set initial initial values
root = null;
bucket = null;
}
//When vertical nodes are already exist in same then
//updating its value to add new data
public void addList(int level, int value) {

MyList temp = this.bucket;
int status = 1;
//Check vertical node alrady exist or not
while (temp != null) {
if (temp.order == level) {
status = 0;
//when vertical order exist
temp.data += value; //add vertical node data
break;
}
temp = temp.next;
}
if (status == 0) {
return;
}

MyList new_node = null, per = null;

new_node = new MyList(level, value);

if (this.bucket != null) {
temp = this.bucket;
if (temp.order > level) {
//smallest element
new_node.next = this.bucket;
this.bucket = new_node;
} else {

while (temp != null && temp.order < level) {
per = temp;
temp = temp.next;
}
new_node.next = per.next;
per.next = new_node;

}

} else {
//When first element of list
this.bucket = new_node;
}
}
public void removeList() {
MyList temp = null;
while (this.bucket != null) {
temp = bucket;
this.bucket = temp.next;
temp = null;
}
}

public void get_vertical(Node head, int order) {

}
}
public void vertical_sum() {
MyList temp = this.bucket;

while (temp != null) {
System.out.print("  " + temp.data);
temp = temp.next;
}

}

public static void main(String[] args) {
//Make object of Binary Tree
BinaryTree obj = new BinaryTree();

/* Make A Binary Tree
-----------------------
4
/  \
3    10
/    /  \
2    9    11
/ \
5   12
/  \
8    7
*/
//Binary tree nodes
obj.root = new Node(4);
obj.root.left = new Node(3);
obj.root.left.left = new Node(2);
obj.root.right = new Node(10);
obj.root.right.right = new Node(11);
obj.root.right.left = new Node(9);
obj.root.right.left.left = new Node(5);

obj.root.right.left.right = new Node(12);
obj.root.right.left.right.right = new Node(7);
obj.root.right.left.right.left = new Node(8);
obj.get_vertical(obj.root, 0);
obj.vertical_sum();
obj.removeList();
}
}```
```

#### Output

``2   8  21  22  18``
``````/*
C# Program
Find Vertical Sum in a given Binary Tree
*/
using System;
//Class of Binary Tree node
public class Node {

public int data;
public Node left, right;
//Make a tree node
public Node(int value) {
//Assign field values
data = value;
left = right = null;
}
}

public class MyList {
public int order, data;
public MyList next;
public MyList(int level, int value) {
order = level;
data = value;
next = null;
}
}
public class BinaryTree {

public Node root;
public MyList bucket;

public BinaryTree() {
//Set initial initial values
root = null;
bucket = null;
}
//When vertical nodes are already exist in same then
//updating its value to add new data
public void addList(int level, int value) {

MyList temp = this.bucket;
int status = 1;
//Check vertical node alrady exist or not
while (temp != null) {
if (temp.order == level) {
status = 0;
//when vertical order exist
temp.data += value; //add vertical node data
break;
}
temp = temp.next;
}
if (status == 0) {
return;
}

MyList new_node = null, per = null;

new_node = new MyList(level, value);

if (this.bucket != null) {
temp = this.bucket;
if (temp.order > level) {
//smallest element
new_node.next = this.bucket;
this.bucket = new_node;
} else {

while (temp != null && temp.order < level) {
per = temp;
temp = temp.next;
}
new_node.next = per.next;
per.next = new_node;

}

} else {
//When first element of list
this.bucket = new_node;
}
}
public void removeList() {
MyList temp = null;
while (this.bucket != null) {
temp = bucket;
this.bucket = temp.next;
temp = null;
}
}

public void get_vertical(Node head, int order) {

}
}
public void vertical_sum() {
MyList temp = this.bucket;

while (temp != null) {
Console.Write("  " + temp.data);
temp = temp.next;
}

}

public static void Main(String[] args) {
//Make object of Binary Tree
BinaryTree obj = new BinaryTree();

/*Make A Binary Tree
-----------------------
4
/  \
3    10
/    /  \
2    9    11
/ \
5   12
/  \
8    7
*/
//Binary tree nodes
obj.root = new Node(4);
obj.root.left = new Node(3);
obj.root.left.left = new Node(2);
obj.root.right = new Node(10);
obj.root.right.right = new Node(11);
obj.root.right.left = new Node(9);
obj.root.right.left.left = new Node(5);

obj.root.right.left.right = new Node(12);
obj.root.right.left.right.right = new Node(7);
obj.root.right.left.right.left = new Node(8);
obj.get_vertical(obj.root, 0);
obj.vertical_sum();
obj.removeList();
}
}```
```

#### Output

``2   8  21  22  18``
``````#Python3 Program
#Find Vertical Sum in a given Binary Tree

class Node :

def __init__(self, value) :
self.data = value
self.left = self.right = None

class MyList :

def __init__(self, level, value) :
self.order = level
self.data = value
self.next = None

class BinaryTree :

def __init__(self) :
self.root = None
self.bucket = None

temp = self.bucket
status = 1
while (temp != None) :
if (temp.order == level) :
status = 0
temp.data += value
break

temp = temp.next

if (status == 0) :
return

new_node = None
per = None
new_node = MyList(level, value)
if (self.bucket != None) :
temp = self.bucket
if (temp.order > level) :
new_node.next = self.bucket
self.bucket = new_node
else :
while (temp != None and temp.order < level) :
per = temp
temp = temp.next

new_node.next = per.next
per.next = new_node

else :
self.bucket = new_node

def removeList(self) :
temp = None
while (self.bucket != None) :
temp = self.bucket
self.bucket = temp.next
temp = None

def vertical_sum(self) :
temp = self.bucket
while (temp != None) :
print(temp.data,end=" ")
temp = temp.next

def main() :
obj = BinaryTree()

# Make A Binary Tree
#
#             4
#           /  \
#          3    10
#         /    /  \
#        2    9    11
#            / \
#           5   12
#              /  \
#             8    7
#
obj.root = Node(4)
obj.root.left = Node(3)
obj.root.left.left = Node(2)
obj.root.right = Node(10)
obj.root.right.right = Node(11)
obj.root.right.left = Node(9)
obj.root.right.left.left = Node(5)
obj.root.right.left.right = Node(12)
obj.root.right.left.right.right = Node(7)
obj.root.right.left.right.left = Node(8)
obj.get_vertical(obj.root, 0)
obj.vertical_sum()
obj.removeList()

if __name__ == "__main__":
main()```
```

#### Output

``2   8  21  22  18``
``````#Ruby Program
#Find Vertical Sum in a given Binary Tree
class Node
attr_accessor :data, :left, :right
def initialize(value)
@data = value
@left = @right = nil
end
end

class MyList
attr_accessor :order, :data, :next
def initialize(level, value)
@order = level
@data = value
@next = nil
end
end

class BinaryTree
attr_accessor :root, :bucket
def initialize()
@root = nil
@bucket = nil
end
temp = self.bucket
status = 1
while (temp != nil)
if (temp.order == level)
status = 0
temp.data += value
break
end
temp = temp.next
end
if (status == 0)
return
end
new_node = nil
per = nil
new_node = MyList.new(level, value)
if (self.bucket != nil)
temp = self.bucket
if (temp.order > level)
new_node.next = self.bucket
self.bucket = new_node
else
while (temp != nil and temp.order < level)
per = temp
temp = temp.next
end
new_node.next = per.next
per.next = new_node
end
else
self.bucket = new_node
end
end
def removeList()
temp = nil
while (self.bucket != nil)
temp = @bucket
self.bucket = temp.next
temp = nil
end
end
end
end
def vertical_sum()
temp = self.bucket
while (temp != nil)
print("  ", temp.data)
temp = temp.next
end
end

end
def main()
obj = BinaryTree.new()
# Make A Binary Tree
#
#             4
#           /  \
#          3    10
#         /    /  \
#        2    9    11
#            / \
#           5   12
#              /  \
#             8    7
#
obj.root = Node.new(4)
obj.root.left = Node.new(3)
obj.root.left.left = Node.new(2)
obj.root.right = Node.new(10)
obj.root.right.right = Node.new(11)
obj.root.right.left = Node.new(9)
obj.root.right.left.left = Node.new(5)
obj.root.right.left.right = Node.new(12)
obj.root.right.left.right.right = Node.new(7)
obj.root.right.left.right.left = Node.new(8)
obj.get_vertical(obj.root, 0)
obj.vertical_sum()
obj.removeList()
end
main()```
```

#### Output

``2   8  21  22  18``
``````/*
Node JS Program
Find Vertical Sum in a given Binary Tree
*/
class Node {

constructor(value) {
this.data = value;
this.left = this.right = null;
}
}
class MyList {

constructor(level, value) {
this.order = level;
this.data = value;
this.next = null;
}
}
class BinaryTree {

constructor() {
this.root = null;
this.bucket = null;
}
var temp = this.bucket;
var status = 1;
while (temp != null) {
if (temp.order == level) {
status = 0;
temp.data += value;
break;;
}
temp = temp.next;
}
if (status == 0) {
return;
}
var new_node = null;
var per = null;
new_node = new MyList(level, value);
if (this.bucket != null) {
temp = this.bucket;
if (temp.order > level) {
new_node.next = this.bucket;
this.bucket = new_node;
} else {
while (temp != null && temp.order < level) {
per = temp;
temp = temp.next;
}
new_node.next = per.next;
per.next = new_node;
}
} else {
this.bucket = new_node;
}
}
removeList() {
var temp = null;
while (this.bucket != null) {
temp = this.bucket;
this.bucket = temp.next;
temp = null;
}
}
}
}
vertical_sum() {
var temp = this.bucket;
while (temp != null) {
process.stdout.write("  " + temp.data);
temp = temp.next;
}
}
}

function main() {
var obj = new BinaryTree();
/* Make A Binary Tree
-----------------------
4
/  \
3    10
/    /  \
2    9    11
/ \
5   12
/  \
8    7
*/
obj.root = new Node(4);
obj.root.left = new Node(3);
obj.root.left.left = new Node(2);
obj.root.right = new Node(10);
obj.root.right.right = new Node(11);
obj.root.right.left = new Node(9);
obj.root.right.left.left = new Node(5);
obj.root.right.left.right = new Node(12);
obj.root.right.left.right.right = new Node(7);
obj.root.right.left.right.left = new Node(8);
obj.get_vertical(obj.root, 0);
obj.vertical_sum();
obj.removeList();
}
main();```
```

#### Output

``2   8  21  22  18``
``````<?php
/*
Php Program
Find Vertical Sum in a given Binary Tree
*/
class Node {
public \$data;
public \$left;
public \$right;

function __construct(\$value) {
\$this->data = \$value;
\$this->left = \$this->right = null;
}
}
class MyList {
public \$order;
public \$data;
public \$next;

function __construct(\$level, \$value) {
\$this->order = \$level;
\$this->data = \$value;
\$this->next = null;
}
}
class BinaryTree {
public \$root;
public \$bucket;

function __construct() {
\$this->root = null;
\$this->bucket = null;
}
\$temp = \$this->bucket;
\$status = 1;
while (\$temp != null) {
if (\$temp->order == \$level) {
\$status = 0;
\$temp->data += \$value;
break;;
}
\$temp = \$temp->next;
}
if (\$status == 0) {
return;
}
\$new_node = null;
\$per = null;
\$new_node = new MyList(\$level, \$value);
if (\$this->bucket != null) {
\$temp = \$this->bucket;
if (\$temp->order > \$level) {
\$new_node->next = \$this->bucket;
\$this->bucket = \$new_node;
} else {
while (\$temp != null && \$temp->order < \$level) {
\$per = \$temp;
\$temp = \$temp->next;
}
\$new_node->next = \$per->next;
\$per->next = \$new_node;
}
} else {
\$this->bucket = \$new_node;
}
}
public  function removeList() {
\$temp = null;
while (\$this->bucket != null) {
\$temp = \$this->bucket;
\$this->bucket = \$temp->next;
\$temp = null;
}
}
}
}
public  function vertical_sum() {
\$temp = \$this->bucket;
while (\$temp != null) {
echo("  ". \$temp->data);
\$temp = \$temp->next;
}
}

}

function main() {
\$obj = new BinaryTree();
/* Make A Binary Tree
-----------------------
4
/  \
3    10
/    /  \
2    9    11
/ \
5   12
/  \
8    7
*/
\$obj->root = new Node(4);
\$obj->root->left = new Node(3);
\$obj->root->left->left = new Node(2);
\$obj->root->right = new Node(10);
\$obj->root->right->right = new Node(11);
\$obj->root->right->left = new Node(9);
\$obj->root->right->left->left = new Node(5);
\$obj->root->right->left->right = new Node(12);
\$obj->root->right->left->right->right = new Node(7);
\$obj->root->right->left->right->left = new Node(8);
\$obj->get_vertical(\$obj->root, 0);
\$obj->vertical_sum();
\$obj->removeList();
}```
```

#### Output

``2   8  21  22  18``
``````/*
Swift 4 Program
Find Vertical Sum in a given Binary Tree
*/
class Node {
var data: Int;
var left: Node? ;
var right: Node? ;
init(_ value: Int) {
self.data = value;
self.left = nil;
self.right = nil;
}
}
class MyList {
var order: Int;
var data: Int;
var next: MyList? ;
init(_ level: Int, _ value: Int) {
self.order = level;
self.data = value;
self.next = nil;
}
}
class BinaryTree {
var root: Node? ;
var bucket: MyList? ;
init() {
self.root = nil;
self.bucket = nil;
}
func addList(_ level: Int, _ value: Int) {
var temp: MyList? = self.bucket;
var status: Int = 1;
while (temp != nil) {
if (temp!.order == level) {
status = 0;
temp!.data += value;
break;
}
temp = temp!.next;
}
if (status == 0) {
return;
}
var new_node: MyList? = nil;
var per: MyList? = nil;
new_node = MyList(level, value);
if (self.bucket != nil) {
temp = self.bucket;
if (temp!.order > level) {
new_node!.next = self.bucket;
self.bucket = new_node;
} else {
while (temp != nil && temp!.order < level) {
per = temp;
temp = temp!.next;
}
new_node!.next = per!.next;
per!.next = new_node;
}
} else {
self.bucket = new_node;
}
}
func removeList() {
var temp: MyList? = nil;
while (self.bucket != nil) {
temp = self.bucket;
self.bucket = temp!.next;
temp = nil;
}
}
func get_vertical(_ head: Node? , _ level : Int) {
}
}
func vertical_sum() {
var temp: MyList? = self.bucket;
while (temp != nil) {
print(temp!.data, terminator : " ");
temp = temp!.next;
}
}
}
func main() {
let obj: BinaryTree = BinaryTree();
/* Make A Binary Tree
-----------------------
4
/  \
3    10
/    /  \
2    9    11
/ \
5   12
/  \
8    7
*/
obj.root = Node(4);
obj.root!.left = Node(3);
obj.root!.left!.left = Node(2);
obj.root!.right = Node(10);
obj.root!.right!.right = Node(11);
obj.root!.right!.left = Node(9);
obj.root!.right!.left!.left = Node(5);
obj.root!.right!.left!.right = Node(12);
obj.root!.right!.left!.right!.right = Node(7);
obj.root!.right!.left!.right!.left = Node(8);
obj.get_vertical(obj.root, 0);
obj.vertical_sum();
obj.removeList();
}
main();```
```

#### Output

``2   8  21  22  18``

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