Monthly Archives: October 2021

C# || How To Get The Number Of Binary Tree Paths Equal To Path Sum Using C#

The following is a module with functions which demonstrates how to get the number of binary tree paths equal to path sum using C#.


1. Number Of Path Sum Paths – Problem Statement

Given the root of a binary tree and an integer targetSum, return the number of paths where the sum of the values along the path equals targetSum.

The path does not need to start or end at the root or a leaf, but it must go downwards (i.e., traveling only from parent nodes to child nodes).

Example 1:

Example 1


Input: root = [10,5,-3,3,2,null,11,3,-2,null,1], targetSum = 8
Output: 3
Explanation: The paths that sum to 8 are shown.

Example 2:


Input: root = [5,4,8,11,null,13,4,7,2,null,null,5,1], targetSum = 22
Output: 3


2. Number Of Path Sum Paths – Solution

The following is a solution which demonstrates how to get the number of binary tree paths equal to path sum.

The main idea here is that the sum at each level for each path is calculated. When the next level is explored, the value at the previous level is summed together with the node value at the current level.

A map dictionary is used to keep track of the sum at each level. If the prefix sum at the previous level is enough to equal the target path sum at the current level, the result count is incremented.

QUICK NOTES:
The highlighted lines are sections of interest to look out for.

The code is heavily commented, so no further insight is necessary. If you have any questions, feel free to leave a comment below.

Once compiled, you should get this as your output for the example cases:


3
3

C# || How To Get All Root To Leaf Binary Tree Paths Equal To Path Sum Using C#

The following is a module with functions which demonstrates how to get all the root to leaf binary tree paths equal to path sum using C#.


1. Root To Leaf Path Sum – Problem Statement

Given the root of a binary tree and an integer targetSum, return all root-to-leaf paths where the sum of the node values in the path equals targetSum. Each path should be returned as a list of the node values, not node references.

A root-to-leaf path is a path starting from the root and ending at any leaf node. A leaf is a node with no children.

Example 1:

Example 1


Input: root = [5,4,8,11,null,13,4,7,2,null,null,5,1], targetSum = 22
Output: [[5,4,11,2],[5,8,4,5]]
Explanation: There are two paths whose sum equals targetSum:
5 + 4 + 11 + 2 = 22
5 + 8 + 4 + 5 = 22

Example 2:

Example 2


Input: root = [1,2,3], targetSum = 5
Output: []

Example 3:


Input: root = [1,2], targetSum = 0
Output: []


2. Root To Leaf Path Sum – Solution

The following is a solution which demonstrates how to get all the root to leaf binary tree paths equal to path sum.

The main idea here is that the sum at each level for each path is calculated until we reach the end of the root-to-leaf.

A list is used to store the node value at each level. When the next level is explored, the value is appended to the list, and the process continues.

When we reach the end of the leaf, we check to see if the target value has been reached. If so, we add the node values that make up the path to the result list.

QUICK NOTES:
The highlighted lines are sections of interest to look out for.

The code is heavily commented, so no further insight is necessary. If you have any questions, feel free to leave a comment below.

Once compiled, you should get this as your output for the example cases:


[[5,4,11,2],[5,8,4,5]]
[]
[]

C# || How To Determine If Binary Tree Root To Leaf Path Sum Exists Using C#

The following is a module with functions which demonstrates how to determine if a binary tree root to leaf path sum exists using C#.


1. Has Path Sum – Problem Statement

Given the root of a binary tree and an integer targetSum, return true if the tree has a root-to-leaf path such that adding up all the values along the path equals targetSum.

A leaf is a node with no children.

Example 1:

Example 1


Input: root = [5,4,8,11,null,13,4,7,2,null,null,null,1], targetSum = 22
Output: true

Example 2:

Example 2


Input: root = [1,2,3], targetSum = 5
Output: false

Example 3:


Input: root = [1,2], targetSum = 0
Output: false


2. Has Path Sum – Solution

The following is a solution which demonstrates how to determine if a binary tree root to leaf path sum exists.

QUICK NOTES:
The highlighted lines are sections of interest to look out for.

The code is heavily commented, so no further insight is necessary. If you have any questions, feel free to leave a comment below.

Once compiled, you should get this as your output for the example cases:


true
false
false

C# || How To Convert Sorted Array to Binary Search Tree Using C#

The following is a module with functions which demonstrates how to convert a sorted array to a binary search tree using C#.


1. Sorted Array To BST – Problem Statement

Given an integer array nums where the elements are sorted in ascending order, convert it to a height-balanced binary search tree.

A height-balanced binary tree is a binary tree in which the depth of the two subtrees of every node never differs by more than one.

Example 1:

Example 1


Input: nums = [-10,-3,0,5,9]
Output: [0,-3,9,-10,null,5]
Explanation: [0,-10,5,null,-3,null,9] is also accepted:

Example 1

Example 2:

Example 2


Input: nums = [1,3]
Output: [3,1]
Explanation: [1,3] and [3,1] are both a height-balanced BSTs.


2. Sorted Array To BST – Solution

The following is a solution which demonstrates how to convert a sorted array to a binary search tree.

QUICK NOTES:
The highlighted lines are sections of interest to look out for.

The code is heavily commented, so no further insight is necessary. If you have any questions, feel free to leave a comment below.

Once compiled, you should get this as your output for the example cases:


[0,-10,5,null,-3,null,9]
[1,null,3]

C# || How To Convert 1D Array Into 2D Array Using C#

The following is a module with functions which demonstrates how to convert a 1D array into a 2D array using C#.


1. Construct 2D Array – Problem Statement

You are given a 0-indexed 1-dimensional (1D) integer array original, and two integers, m and n. You are tasked with creating a 2-dimensional (2D) array with m rows and n columns using all the elements from original.

The elements from indices 0 to n – 1 (inclusive) of original should form the first row of the constructed 2D array, the elements from indices n to 2 * n – 1 (inclusive) should form the second row of the constructed 2D array, and so on.

Return an m x n 2D array constructed according to the above procedure, or an empty 2D array if it is impossible.

Example 1:

Example 1


Input: original = [1,2,3,4], m = 2, n = 2
Output: [[1,2],[3,4]]
Explanation:
The constructed 2D array should contain 2 rows and 2 columns.
The first group of n=2 elements in original, [1,2], becomes the first row in the constructed 2D array.
The second group of n=2 elements in original, [3,4], becomes the second row in the constructed 2D array.

Example 2:


Input: original = [1,2,3], m = 1, n = 3
Output: [[1,2,3]]
Explanation:
The constructed 2D array should contain 1 row and 3 columns.
Put all three elements in original into the first row of the constructed 2D array.

Example 3:


Input: original = [1,2], m = 1, n = 1
Output: []
Explanation:
There are 2 elements in original.
It is impossible to fit 2 elements in a 1x1 2D array, so return an empty 2D array.

Example 4:


Input: original = [3], m = 1, n = 2
Output: []
Explanation:
There is 1 element in original.
It is impossible to make 1 element fill all the spots in a 1x2 2D array, so return an empty 2D array.


2. Construct 2D Array – Solution

The following is a solution which demonstrates how to convert a 1D array into a 2D array.

QUICK NOTES:
The highlighted lines are sections of interest to look out for.

The code is heavily commented, so no further insight is necessary. If you have any questions, feel free to leave a comment below.

Once compiled, you should get this as your output for the example cases:


[[1,2],[3,4]]
[[1,2,3]]
[]
[]

C# || How To Find Cousins In A Binary Tree Using C#

The following is a module with functions which demonstrates how to find the cousins in a binary tree using C#.


1. Is Cousins – Problem Statement

Given the root of a binary tree with unique values and the values of two different nodes of the tree x and y, return true if the nodes corresponding to the values x and y in the tree are cousins, or false otherwise.

Two nodes of a binary tree are cousins if they have the same depth with different parents.

Note that in a binary tree, the root node is at the depth 0, and children of each depth k node are at the depth k + 1.

Example 1:

Example 1


Input: root = [1,2,3,4], x = 4, y = 3
Output: false

Example 2:

Example 2


Input: root = [1,2,3,null,4,null,5], x = 5, y = 4
Output: true

Example 3:

Example 3


Input: root = [1,2,3,null,4], x = 2, y = 3
Output: false


2. Is Cousins – Solution

The following is a solution which demonstrates how to determine if x and y values are cousins in a binary tree.

The idea here is to explore each path, finding the node values that represent x and y.

Once both values are found, save the depth and parent node, and determine if they are cousins

QUICK NOTES:
The highlighted lines are sections of interest to look out for.

The code is heavily commented, so no further insight is necessary. If you have any questions, feel free to leave a comment below.

Once compiled, you should get this as your output for the example cases:


false
true
false

C# || How To Construct A Binary Search Tree From Preorder Traversal Using C#

The following is a module with functions which demonstrates how to construct a binary search tree from preorder traversal using C#.


1. Binary Tree From Preorder – Problem Statement

Given an array of integers preorder, which represents the preorder traversal of a BST (i.e., binary search tree), construct the tree and return its root.

It is guaranteed that there is always possible to find a binary search tree with the given requirements for the given test cases.

A binary search tree is a binary tree where for every node, any descendant of Node.left has a value strictly less than Node.val, and any descendant of Node.right has a value strictly greater than Node.val.

A preorder traversal of a binary tree displays the value of the node first, then traverses Node.left, then traverses Node.right.

Example 1:

Example 1


Input: preorder = [8,5,1,7,10,12]
Output: [8,5,10,1,7,null,12]

Example 2:


Input: preorder = [1,3]
Output: [1,null,3]


2. Binary Tree From Preorder – Solution

The following is a solution which demonstrates how to construct a binary search tree from preorder traversal.

QUICK NOTES:
The highlighted lines are sections of interest to look out for.

The code is heavily commented, so no further insight is necessary. If you have any questions, feel free to leave a comment below.

Once compiled, you should get this as your output for the example cases:


[8,5,10,1,7,null,12]
[1,null,3]

C# || How To Find The Next Greater Element In A Circular Array Using C#

The following is a module with functions which demonstrates how to find the next greater element in a circular array using C#.


1. Circular Next Greater – Problem Statement

Given a circular integer array nums (i.e., the next element of nums[nums.length – 1] is nums[0]), return the next greater number for every element in nums.

The next greater number of a number x is the first greater number to its traversing-order next in the array, which means you could search circularly to find its next greater number. If it doesn’t exist, return -1 for this number.

Example 1:


Input: nums = [1,2,1]
Output: [2,-1,2]
Explanation: The first 1's next greater number is 2;
The number 2 can't find next greater number.
The second 1's next greater number needs to search circularly, which is also 2.

Example 2:


Input: nums = [1,2,3,4,3]
Output: [2,3,4,-1,4]


2. Circular Next Greater – Solution

The following is a solution which demonstrates how to find the next greater element in a circular array.

This solution uses the monotonic stack approach. This solution finds the next greater element for each array value, in the first pass, and then uses a second pass to process any remaining values since the array is circular.

QUICK NOTES:
The highlighted lines are sections of interest to look out for.

The code is heavily commented, so no further insight is necessary. If you have any questions, feel free to leave a comment below.

Once compiled, you should get this as your output for the example cases:


[2,-1,2]
[2,3,4,-1,4]

C# || How To Find The Next Greater Element In An Array Using C#

The following is a module with functions which demonstrates how to find the next greater element in an array using C#.


1. Next Greater – Problem Statement

The next greater element of some element x in an array is the first greater element that is to the right of x in the same array.

You are given two distinct 0-indexed integer arrays nums1 and nums2, where nums1 is a subset of nums2.

For each 0 <= i < nums1.length, find the index j such that nums1[i] == nums2[j] and determine the next greater element of nums2[j] in nums2. If there is no next greater element, then the answer for this query is -1.

Return an array ans of length nums1.length such that ans[i] is the next greater element as described above.

Example 1:


Input: nums1 = [4,1,2], nums2 = [1,3,4,2]
Output: [-1,3,-1]
Explanation: The next greater element for each value of nums1 is as follows:
- 4 is underlined in nums2 = [1,3,4,2]. There is no next greater element, so the answer is -1.
- 1 is underlined in nums2 = [1,3,4,2]. The next greater element is 3.
- 2 is underlined in nums2 = [1,3,4,2]. There is no next greater element, so the answer is -1.

Example 2:


Input: nums1 = [2,4], nums2 = [1,2,3,4]
Output: [3,-1]
Explanation: The next greater element for each value of nums1 is as follows:
- 2 is underlined in nums2 = [1,2,3,4]. The next greater element is 3.
- 4 is underlined in nums2 = [1,2,3,4]. There is no next greater element, so the answer is -1.


2. Next Greater – Solution

The following is a solution which demonstrates how to find the next greater element in an array.

This solution uses the monotonic stack approach. This solution finds the next greater element for each array value in the second array, and uses that to find the next greater element for each matching value in the first array.

To determine the next greatest element, a stack is used to keep track of the items we’ve already seen. The array index of the item is saved to the stack.

For each loop iteration, the item at the top of the stack is checked to see if it is less than the current array item being checked. If the item at the top of the stack is less than the current array item, then the current array item is saved to the result index that matches the value from the top of the stack.

Once the next greatest elements have been found from nums2, that information is used to populate the final result from the matching values found in nums1

QUICK NOTES:
The highlighted lines are sections of interest to look out for.

The code is heavily commented, so no further insight is necessary. If you have any questions, feel free to leave a comment below.

Once compiled, you should get this as your output for the example cases:


[-1,3,-1]
[3,-1]

C# || How To Multiply Two Strings Using C#

The following is a module with functions which demonstrates how to multiply two strings together using C#.


1. Multiply Strings – Problem Statement

Given two non-negative integers num1 and num2 represented as strings, return the product of num1 and num2, also represented as a string.

Note: You must not use any built-in BigInteger library or convert the inputs to integer directly.

Example 1:


Input: num1 = "2", num2 = "3"
Output: "6"

Example 2:


Input: num1 = "123", num2 = "456"
Output: "56088"


2. Multiply Strings – Solution

The following is a solution which demonstrates how to multiply two strings together.

This solution starts from the end of both strings and multiplies each individual number, keeping track of any carryovers. The result of each operation is stored in a ‘solution’ array, and when the operation is complete, the result is returned as a string.

QUICK NOTES:
The highlighted lines are sections of interest to look out for.

The code is heavily commented, so no further insight is necessary. If you have any questions, feel free to leave a comment below.

Once compiled, you should get this as your output for the example cases:


"6"
"56088"

C# || How To Add Two Binary Strings Using C#

The following is a module with functions which demonstrates how to add two binary strings together using C#.


1. Add Binary – Problem Statement

Given two binary strings a and b, return their sum as a binary string.

Example 1:


Input: a = "11", b = "1"
Output: "100"

Example 2:


Input: a = "1010", b = "1011"
Output: "10101"


2. Add Binary – Solution

The following is a solution which demonstrates how to add two binary strings together.

In this solution, we start at the end of both strings, and perform basic math on each number, adding them together. If any mathematical carry over is required, that is added to the next loop iteration.

QUICK NOTES:
The highlighted lines are sections of interest to look out for.

The code is heavily commented, so no further insight is necessary. If you have any questions, feel free to leave a comment below.

Once compiled, you should get this as your output for the example cases:


"100"
"10101"

C# || How To Traverse A Binary Tree Postorder Using C#

The following is a module with functions which demonstrates how to traverse a binary tree post order using C#.


1. Binary Tree Traversal – Problem Statement

Given the root of a binary tree, return the postorder traversal of its nodes’ values.

Example 1:

Example 1


Input: root = [1,null,2,3]
Output: [3,2,1]

Example 2:


Input: root = []
Output: []

Example 3:


Input: root = [1]
Output: [1]

Example 4:

Example 4


Input: root = [1,2]
Output: [2,1]

Example 5:

Example 5


Input: root = [1,null,2]
Output: [2,1]


2. Binary Tree Traversal – Solution

The following is a solution which demonstrates how to traverse a binary tree post order.

QUICK NOTES:
The highlighted lines are sections of interest to look out for.

The code is heavily commented, so no further insight is necessary. If you have any questions, feel free to leave a comment below.

Once compiled, you should get this as your output for the example cases:


[3,2,1]
[]
[1]
[2,1]
[2,1]

C# || How To Traverse A Binary Tree Preorder Using C#

The following is a module with functions which demonstrates how to traverse a binary tree pre order using C#.


1. Binary Tree Traversal – Problem Statement

Given the root of a binary tree, return the preorder traversal of its nodes’ values.

Example 1:

Example 1


Input: root = [1,null,2,3]
Output: [1,2,3]

Example 2:


Input: root = []
Output: []

Example 3:


Input: root = [1]
Output: [1]

Example 4:

Example 4


Input: root = [1,2]
Output: [1,2]

Example 5:

Example 5


Input: root = [1,null,2]
Output: [1,2]


2. Binary Tree Traversal – Solution

The following is a solution which demonstrates how to traverse a binary tree pre order.

QUICK NOTES:
The highlighted lines are sections of interest to look out for.

The code is heavily commented, so no further insight is necessary. If you have any questions, feel free to leave a comment below.

Once compiled, you should get this as your output for the example cases:


[1,2,3]
[]
[1]
[1,2]
[1,2]

C# || How To Traverse A Binary Tree Inorder Using C#

The following is a module with functions which demonstrates how to traverse a binary tree in order using C#.


1. Binary Tree Traversal – Problem Statement

Given the root of a binary tree, return the inorder traversal of its nodes’ values.

Example 1:

Example 1


Input: root = [1,null,2,3]
Output: [1,3,2]

Example 2:


Input: root = []
Output: []

Example 3:


Input: root = [1]
Output: [1]

Example 4:

Example 4


Input: root = [1,2]
Output: [2,1]

Example 5:

Example 5


Input: root = [1,null,2]
Output: [1,2]


2. Binary Tree Traversal – Solution

The following is a solution which demonstrates how to traverse a binary tree in order.

QUICK NOTES:
The highlighted lines are sections of interest to look out for.

The code is heavily commented, so no further insight is necessary. If you have any questions, feel free to leave a comment below.

Once compiled, you should get this as your output for the example cases:


[1,3,2]
[]
[1]
[2,1]
[1,2]