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How to Generate All Possible Combinations from a List of Integers in C#?

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2025-01-16 17:12:38977browse

How to Generate All Possible Combinations from a List of Integers in C#?

List all combinations in a list of values

In C#, given a dynamic list of integers, it is often necessary to generate all possible combinations of its elements. For example, for the list {1, 2, 3}, you need to generate the following combination:

<code>{1, 2, 3}
{1, 2}
{1, 3}
{2, 3}
{1}
{2}
{3}</code>

To do this, use the following algorithm:

  1. Initialize the counter: Use powers of 2 (the power is the number of elements in the list) to determine the number of possible combinations.
  2. Convert counter to binary: Represent the counter in binary format, padding with zeros as necessary to match the length of the input list.
  3. Extract a combination of elements: For each bit in the binary representation, if the bit is set to "1", output the element at the corresponding index in the input list.
  4. Iteration counter: Increment the counter until it reaches the maximum possible number of combinations.
  5. Print combinations: Output each combination on a separate line.

The C# code provided demonstrates the implementation of this algorithm:

<code class="language-csharp">static void Main(string[] args)
{
    GetCombination(new List<int> { 1, 2, 3 });
}

static void GetCombination(List<int> list)
{
    double count = Math.Pow(2, list.Count);
    for (int i = 1; i < count; i++)
    {
        string binary = Convert.ToString(i, 2).PadLeft(list.Count, '0');
        List<int> combination = new List<int>();
        for (int j = 0; j < binary.Length; j++)
        {
            if (binary[j] == '1')
            {
                combination.Add(list[j]);
            }
        }
        Console.WriteLine(string.Join(", ", combination));
    }
}</code>

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