Simple implementation of generic BINARY TREE in C#

using System;
public class BinaryTree
{
	public BinaryTree(
		T value,
		BinaryTree leftNode = null,
		BinaryTree rightNode = null)
	{
		this.Value = value;
		this.LeftNode = leftNode;
		this.RightNode = rightNode;
	}

	public T Value { get; private set; }

	public BinaryTree LeftNode { get; private set; }

	public BinaryTree RightNode { get; private set; }

	public void EachPreOrder(Action action)
	{
		action(this.Value);

		if (this.LeftNode != null)
		{
			this.LeftNode.EachPreOrder(action);
		}

		if (this.RightNode != null)
		{
			this.RightNode.EachPreOrder(action);
		}
	}

	public void EachInOrder(Action action)
	{
		if (this.LeftNode != null)
		{
			this.LeftNode.EachPreOrder(action);
		}

		action(this.Value);

		if (this.RightNode != null)
		{
			this.RightNode.EachPreOrder(action);
		}
	}

	public void EachPostOrder(Action action)
	{
		if (this.LeftNode != null)
		{
			this.LeftNode.EachPreOrder(action);
		}

		if (this.RightNode != null)
		{
			this.RightNode.EachPreOrder(action);
		}
		
		action(this.Value);
	}
}

How to generate Variations without repetition recursively in C#

using System;
using System.Linq;

class VariationsWithoutRepetition
{
    const int k = 2;
    const int n = 4;

    static int[] arr = new int[k];
    static int[] free = Enumerable.Range(1, 4).ToArray();

    static void Main()
    {
        GenerateVariationsNoRepetitions(0);
    }

    static void GenerateVariationsNoRepetitions(int index)
    {
        if (index >= k)
        {
            PrintVariations();
        }
        else
        {
            for (int i = index; i < n; i++)
            {
                arr[index] = free[i];
                Swap(ref free[i], ref free[index]);
                GenerateVariationsNoRepetitions(index + 1);
                Swap(ref free[i], ref free[index]);
            }
        }
    }

    private static void Swap<T>(ref T v1, ref T v2)
    {
        T old = v1;
        v1 = v2;
        v2 = old;
    }

    static void PrintVariations()
    {
        Console.WriteLine("(" + string.Join(", ", arr) + ")");
    }
}


// result:
// (1, 2)
// (1, 3)
// (1, 4)
// (2, 1)
// (2, 3)
// (2, 4)
// (3, 2)
// (3, 1)
// (3, 4)
// (4, 2)
// (4, 3)
// (4, 1)

How to generate Permutations without repetition recursively in C#

using System;

class GroupPermutations
{
    static void Main(string[] args)
    {
        string[] array = { "apple", "peach", "orange" };
        Perm(array, 0);
    }

    static void Perm<T>(T[] arr, int k)
    {
        if (k >= arr.Length)
            Print(arr);
        else
        {
            Perm(arr, k + 1);
            for (int i = k + 1; i < arr.Length; i++)
            {
                Swap(ref arr[k], ref arr[i]);
                Perm(arr, k + 1);
                Swap(ref arr[k], ref arr[i]);
            }
        }
    }

    private static void Swap<T>(ref T item1, ref T item2)
    {
        T temp = item1;
        item1 = item2;
        item2 = temp;
    }

    private static void Print<T>(T[] arr)
    {
        Console.WriteLine("{" + string.Join(", ", arr) + "}");
    }
}

//Result:
//{apple, peach, orange}
//{apple, orange, peach}
//{peach, apple, orange}
//{peach, orange, apple}
//{orange, peach, apple}
//{orange, apple, peach}

How to fill matrix in spiral order Java

public class SpiralMatrix {
    public static void main(String[] args) {
        int[][] matrix = new int[7][7];
        int top = 0;
        int bottom = matrix.length - 1;
        int left = 0;
        int right = matrix[0].length - 1;
        int index = 1;

        while (left <= right && top <= bottom) {
            for (int col = left; col <= right; col++) {
                matrix[top][col] = index++;
            }

            top++;
            for (int row = top; row <= bottom; row++) {
                matrix[row][right] = index++;
            }

            right--;
            for (int col = right; col >= left ; col--) {
                matrix[bottom][col] = index++;
            }

            bottom--;
            for (int row = bottom; row >= top ; row--) {
                matrix[row][left] = index++;
            }

            left++;
        }


        for (int row = 0; row < matrix.length; row++) {
            for (int col = 0; col < matrix[0].length; col++) {
                System.out.printf("%02d ", matrix[row][col]);
            }
            System.out.println();
        }
        
        // result:
        // 01 02 03 04 05 06 07
        // 24 25 26 27 28 29 08
        // 23 40 41 42 43 30 09
        // 22 39 48 49 44 31 10
        // 21 38 47 46 45 32 11
        // 20 37 36 35 34 33 12
        // 19 18 17 16 15 14 13
    }
}

How to generate Eratosthenes sieve in Java

public class EratosthenesSieve {

    public static final int MAX = 121;

    public static void main(String[] args) {
        boolean[] primes = new boolean[MAX];
        eratosthenesSieve(primes);

        System.out.printf("Primes in range [2..%d] are: ", MAX);
        for (int i = 2; i < MAX; i++) {
            if(primes[i]) {
                System.out.printf(i + " ");
            }
        }
    }

    private static void eratosthenesSieve(boolean[] primes) {
        for (int i = 2; i < primes.length; i++) {
            primes[i] = true;
        }

        for (int i = 2; i < Math.sqrt(MAX); i++) {
            if (primes[i]) {
                for (int j = i * i; j < MAX; j += i) {
                    primes[j] = false;
                }
            }
        }
    }
}

How to generate all subsets of power set using bitwise mask in C#

namespace SubsetsOfSet
{
    using System;
    using System.Collections.Generic;
    using System.Linq;

    class SubsetsOfSet
    {
        static void Main()
        {
            int[] nums = { 0, 1, 2 };
            string[] fruits = {"apple", "peach", "starwberry"};

            int b = nums.Length;
            int n = (int)Math.Pow(2, b);

            for (int num = 0; num < n; num++)
            {
                var subSet = new List<int>();
                for (int bit = 0; bit <= b; bit++)
                {
                    if ((num >> bit & 1) == 1)
                    {
                        subSet.Add(nums[bit]);
                    }
                }

                Console.WriteLine("{{{0}}}", string.Join(", ", subSet.Select(i => fruits[i])));
            }
        }
    }
}