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Getting Time limit Exceed for last 3 Test Cases in a Program:C# [duplicate]

Given an array of n integers and a number, d, perform left rotations on the array. Then print the updated array as a single line of space-separated integers.
Sample Input:
5 4
1 2 3 4 5
The first line contains two space-separated integers denoting the respective values of n (the number of integers) and d (the number of left rotations you must perform).
The second line contains n space-separated integers describing the respective elements of the array's initial state.
Sample Output:
5 1 2 3 4
static void Main(String[] args)
{
string[] arr_temp = Console.ReadLine().Split(' ');
int n = Int32.Parse(arr_temp[0]);
int d = Int32.Parse(arr_temp[1]);
string[] arr = Console.ReadLine().Split(' ');
string[] ans = new string[n];
for (int i = 0; i < n; ++i)
{
ans[(i + n - d) % n] = arr[i];
}
for (int j = 0; j < n; ++j)
{
Console.Write(ans[j] + " ");
}
}
How to use less memory to solve this problem?

This will use less memory in most cases as the second array is only as big as the shift.
public static void Main(string[] args)
{
int[] n = { 1, 2, 3, 4, 5 };
LeftShiftArray(n, 4);
Console.WriteLine(String.Join(",", n));
}
public static void LeftShiftArray<T>(T[] arr, int shift)
{
shift = shift % arr.Length;
T[] buffer = new T[shift];
Array.Copy(arr, buffer, shift);
Array.Copy(arr, shift, arr, 0, arr.Length - shift);
Array.Copy(buffer, 0, arr, arr.Length - shift, shift);
}

This problem can get a bit tricky but also has a simple solution if one is familiar with Queues and Stacks.
All I have to do is define a Queue (which will contain the given array) and a Stack.
Next, I just have to Push the Dequeued index to the stack and Enqueue the Popped index in the Queue and finally return the Queue.
Sounds confusing? Check the code below:
static int[] rotLeft(int[] a, int d) {
Queue<int> queue = new Queue<int>(a);
Stack<int> stack = new Stack<int>();
while(d > 0)
{
stack.Push(queue.Dequeue());
queue.Enqueue(stack.Pop());
d--;
}
return queue.ToArray();
}

Do you really need to physically move anything? If not, you could just shift the index instead.

Actually you asked 2 questions:
How to efficiently rotate an array?
and
How to use less memory to solve this problem?
Usually efficiency and low memory usage are mutually exclusive. So I'm going to answer your second question, still providing the most efficient implementation under that memory constraint.
The following method can be used for both left (passing negative count) or right (passing positive count) rotation. It uses O(1) space (single element) and O(n * min(d, n - d)) array element copy operations (O(min(d, n - d)) array block copy operations). In the worst case scenario it performs O(n / 2) block copy operations.
The algorithm is utilizing the fact that
rotate_left(n, d) == rotate_right(n, n - d)
Here it is:
public static class Algorithms
{
public static void Rotate<T>(this T[] array, int count)
{
if (array == null || array.Length < 2) return;
count %= array.Length;
if (count == 0) return;
int left = count < 0 ? -count : array.Length + count;
int right = count > 0 ? count : array.Length - count;
if (left <= right)
{
for (int i = 0; i < left; i++)
{
var temp = array[0];
Array.Copy(array, 1, array, 0, array.Length - 1);
array[array.Length - 1] = temp;
}
}
else
{
for (int i = 0; i < right; i++)
{
var temp = array[array.Length - 1];
Array.Copy(array, 0, array, 1, array.Length - 1);
array[0] = temp;
}
}
}
}
Sample usage like in your example:
var array = Enumerable.Range(1, 5).ToArray(); // { 1, 2, 3, 4, 5 }
array.Rotate(-4); // { 5, 1, 2, 3, 4 }

Isn't using IEnumerables better? Since It won't perform all of those maths, won't allocate that many arrays, etc
public static int[] Rotate(int[] elements, int numberOfRotations)
{
IEnumerable<int> newEnd = elements.Take(numberOfRotations);
IEnumerable<int> newBegin = elements.Skip(numberOfRotations);
return newBegin.Union(newEnd).ToArray();
}
IF you don't actually need to return an array, you can even remove the .ToArray() and return an IEnumerable
Usage:
void Main()
{
int[] n = { 1, 2, 3, 4, 5 };
int d = 4;
int[] rotated = Rotate(n,d);
Console.WriteLine(String.Join(" ", rotated));
}

I have also tried this and below is my approach...
Thank you
public static int[] RotationOfArray(int[] A, int k)
{
if (A == null || A.Length==0)
return null;
int[] result =new int[A.Length];
int arrayLength=A.Length;
int moveBy = k % arrayLength;
for (int i = 0; i < arrayLength; i++)
{
int tmp = i + moveBy;
if (tmp > arrayLength-1)
{
tmp = + (tmp - arrayLength);
}
result[tmp] = A[i];
}
return result;
}

I have tried to used stack and queue in C# to achieve the output as follows:
public int[] rotateArray(int[] A, int rotate)
{
Queue<int> q = new Queue<int>(A);
Stack<int> s;
while (rotate > 0)
{
s = new Stack<int>(q);
int x = s.Pop();
s = new Stack<int>(s);
s.Push(x);
q = new Queue<int>(s);
rotate--;
}
return q.ToArray();
}

I've solve the challange from Hackerrank by following code. Hope it helps.
using System;
using System.Collections.Generic;
using System.IO;
using System.Text;
namespace ConsoleApp1
{
class ArrayLeftRotationSolver
{
TextWriter mTextWriter;
public ArrayLeftRotationSolver()
{
mTextWriter = new StreamWriter(#System.Environment.GetEnvironmentVariable("OUTPUT_PATH"), true);
}
public void Solve()
{
string[] nd = Console.ReadLine().Split(' ');
int n = Convert.ToInt32(nd[0]);
int d = Convert.ToInt32(nd[1]);
int[] a = Array.ConvertAll(Console.ReadLine().Split(' '), aTemp => Convert.ToInt32(aTemp))
;
int[] result = rotLeft(a, d);
mTextWriter.WriteLine(string.Join(" ", result));
mTextWriter.Flush();
mTextWriter.Close();
}
private int[] rotLeft(int[] arr, int shift)
{
int n = arr.Length;
shift %= n;
int[] vec = new int[n];
for (int i = 0; i < n; i++)
{
vec[(n + i - shift) % n] = arr[i];
}
return vec;
}
static void Main(string[] args)
{
ArrayLeftRotationSolver solver = new ArrayLeftRotationSolver();
solver.Solve();
}
}
}

Hope this helps.
public static int[] leftrotation(int[] arr, int d)
{
int[] newarr = new int[arr.Length];
var n = arr.Length;
bool isswapped = false;
for (int i = 0; i < n; i++)
{
int index = Math.Abs((i) -d);
if(index == 0)
{
isswapped = true;
}
if (!isswapped)
{
int finalindex = (n) - index;
newarr[finalindex] = arr[i];
}
else
{
newarr[index] = arr[i];
}
}
return newarr;
}

Take the Item at position 0 and add it at the end. remove the item at position 0. repeat n times.
List<int> iList = new List<int>();
private void shift(int n)
{
for (int i = 0; i < n; i++)
{
iList.Add(iList[0]);
iList.RemoveAt(0);
}
}

An old question, but I thought I'd add another possible solution using just one intermediate array (really, 2 if you include the LINQ Take expression). This code rotates to right rather than left, but may be useful nonetheless.
public static Int32[] ArrayRightRotation(Int32[] A, Int32 k)
{
if (A == null)
{
return A;
}
if (!A.Any())
{
return A;
}
if (k % A.Length == 0)
{
return A;
}
if (A.Length == 1)
{
return A;
}
if (A.Distinct().Count() == 1)
{
return A;
}
for (var i = 0; i < k; i++)
{
var intermediateArray = new List<Int32> {A.Last()};
intermediateArray.AddRange(A.Take(A.Length - 1).ToList());
A = intermediateArray.ToArray();
}
return A;
}

O(1) space, O(n) time solution
I think in theory this is as optimal as it gets, since it makes a.Length in-place swaps and 1 temp variable swap per inner loop.
However I suspect O(d) space solutions would be faster in real life due to less code branching (fewer CPU command pipeline resets) and cache locality (mostly sequential access vs in d element steps).
static int[] RotateInplaceLeft(int[] a, int d)
{
var swapCount = 0;
//get canonical/actual d
d = d % a.Length;
if(d < 0) d += a.Length;
if(d == 0) return a;
for (var i = 0; swapCount < a.Length; i++) //we're done after a.Length swaps
{
var dstIdx = i; //we need this becasue of ~this: https://youtu.be/lJ3CD9M3nEQ?t=251
var first = a[i]; //save first element in this group
for (var j = 0; j < a.Length; j++)
{
var srcIdx = (dstIdx + d) % a.Length;
if(srcIdx == i)// circled around
{
a[dstIdx] = first;
swapCount++;
break; //hence we're done with this group
}
a[dstIdx] = a[srcIdx];
dstIdx = srcIdx;
swapCount++;
}
}
return a;
}

If you take a look at constrains you will see that d <= n (number of rotations <= number of elements in array). Because of that this can be solved in 1 line.
static int[] rotLeft(int[] a, int d)
{
return a.Skip(d).Concat(a.Take(d)).ToArray();
}

// using the same same array, and only one temp variable
// shifting everything several times by one
// works, simple, but slow
public static int[] ArrayRotateLeftCyclical(int[] a, int shift)
{
var length = a.Length;
for (int j = 0; j < shift; j++)
{
int t = a[0];
for (int i = 0; i < length; i++)
{
if (i == length - 1)
a[i] = t;
else
a[i] = a[i + 1];
}
}
return a;
}

Let's say if I have a array of integer 'Arr'. To rotate the array 'n' you can do as follows:
static int[] leftRotation(int[] Arr, int n)
{
int tempVariable = 0;
Queue<int> TempQueue = new Queue<int>(a);
for(int i=1;i<=d;i++)
{
tempVariable = TempQueue.Dequeue();
TempQueue.Enqueue(t);
}
return TempQueue.ToArray();`
}
Let me know if any comments. Thanks!

This is my attempt. It is easy, but for some reason it timed out on big chunks of data:
int arrayLength = arr.Length;
int tmpCell = 0;
for (int rotation = 1; rotation <= d; rotation++)
{
for (int i = 0; i < arrayLength; i++)
{
if (arr[i] < arrayElementMinValue || arr[i] > arrayElementMaxValue)
{
throw new ArgumentException($"Array element needs to be between {arrayElementMinValue} and {arrayElementMaxValue}");
}
if (i == 0)
{
tmpCell = arr[0];
arr[0] = arr[1];
}
else if (i == arrayLength - 1)
{
arr[arrayLength - 1] = tmpCell;
}
else
{
arr[i] = arr[i + 1];
}
}
}

what about this?
public static void RotateArrayAndPrint(int[] n, int rotate)
{
for (int i = 1; i <= n.Length; i++)
{
var arrIndex = (i + rotate) > n.Length ? n.Length - (i + rotate) : (i + rotate);
arrIndex = arrIndex < 0 ? arrIndex * -1 : arrIndex;
var output = n[arrIndex-1];
Console.Write(output + " ");
}
}

It's very straight forward answer.
Main thing is how you choose the start index.
public static List<int> rotateLeft(int d, List<int> arr) {
int n = arr.Count;
List<int> t = new List<int>();
int h = d;
for (int j = 0; j < n; j++)
{
if ((j + d) % n == 0)
{
h = 0;
}
t.Add(arr[h]);
h++;
}
return t;
}
using this code, I have successfully submitted to hacker rank problem,

// fast and beautiful method
// reusing the same array
// using small temp array to store replaced values when unavoidable
// a - array, s - shift
public static int[] ArrayRotateLeftWithSmallTempArray(int[] a, int s)
{
var l = a.Length;
var t = new int[s]; // temp array with size s = shift
for (int i = 0; i < l; i++)
{
// save cells which will be replaced by shift
if (i < s)
t[i] = a[i];
if (i + s < l)
a[i] = a[i + s];
else
a[i] = t[i + s - l];
}
return a;
}
https://github.com/sam-klok/ArraysRotation

public static void Rotate(int[] arr, int steps)
{
for (int i = 0; i < steps; i++)
{
int previousValue = arr[arr.Length - 1];
for (int j = 0; j < arr.Length; j++)
{
int currentValue = arr[j];
arr[j] = previousValue;
previousValue = currentValue;
}
}
}

Here is an in-place Rotate implementation of a trick posted by גלעד ברקן in another question. The trick is:
Example, k = 3:
1234567
First reverse in place each of the two sections delineated by n-k:
4321 765
Now reverse the whole array:
5671234
My implementation, based on the Array.Reverse method:
/// <summary>
/// Rotate left for negative k. Rotate right for positive k.
/// </summary>
public static void Rotate<T>(T[] array, int k)
{
ArgumentNullException.ThrowIfNull(array);
k = k % array.Length;
if (k < 0) k += array.Length;
if (k == 0) return;
Debug.Assert(k > 0);
Debug.Assert(k < array.Length);
Array.Reverse(array, 0, array.Length - k);
Array.Reverse(array, array.Length - k, k);
Array.Reverse(array);
}
Live demo.
Output:
Array: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
Rotate(5)
Array: 8, 9, 10, 11, 12, 1, 2, 3, 4, 5, 6, 7
Rotate(-2)
Array: 10, 11, 12, 1, 2, 3, 4, 5, 6, 7, 8, 9

How do i skip same values between 2 arrays

I'm stuck at "sorting" 2 different arrays.
My goal is to get rid of numbers that are included in array1 and array2.
Here is an example:
int [] arr1 = {1,2,3,4,5,6 } ;
int [] arr2 = {3,4} ;
Values in array arr1 should be like this : 1,2,5,6 (without 3 and 4)
My code so far:
static int[] test(int[]a,int[]b)
{
int i = 0;
int g = 0;
int d = 0;
int indexB = 0;
while( i < a.Length)
{
bool dvojnost = false;
int j = 0;
while (j<b.Length)
{
if (a[i] == b[j])
{
dvojnost = true;
indexB = j;
break;
}
else
j++;
}
int trenutniElementB = 0;
if(dvojnost==true)
{
while (trenutniElementB < b.Length)
{
if (trenutniElementB != indexB)
{
b[g] = b[trenutniElementB];
g++;
trenutniElementB++;
}
else
{
trenutniElementB++;
}
}
}
int h = 0;
if (dvojnost == true)
{
while (h < a.Length)
{
if (h != i)
{
a[d] = a[h];
d++;
h++;
}
else
{
h++;
}
}
}
i++;
}
return a;
}
This coding is only for extending my knowledge with arrays :)

Use LINQ :-)
int[] result = array1.Except(array2).ToArray();

If you are determined on using only loops and no Linq or Lists you could go for this...
static void Main(string[] args)
{
int[] arr1 = { 1, 2, 3, 4, 5, 6 };
int[] arr2 = { 3, 4 };
int[] result = test(arr1, arr2);
}
static int[] test(int[] a, int[] b)
{
int k = 0;
bool toAdd;
int[] output = new int[] { };
for (int i = 0; i < a.Length; i++)
{
toAdd = true;
for (int j = 0; j < b.Length; j++)
{
if (a[i] == b[j])
{
toAdd = false;
break;
}
}
if (toAdd)
{
Array.Resize(ref output, k + 1);
output[k] = a[i];
k++;
}
}
return output;
}

If you are treating second array as exclusion list for your result then maybe using generic List<> class will be enough to create simple code like this:
static int[] test(int[] a, int[] b)
{
List<int> result = new List<int>();
List<int> exclusion = new List<int>(b);
for (int i = 0; i < a.Length; i++)
{
if (exclusion.IndexOf(a[i]) >= 0)
continue;
result.Add(a[i]);
}
return result.ToArray();
}

Split your method into 2 parts.
First get rid of duplicates and then sort the array:
public int[] RemoveAndSort(int[] a, int[] b){
List<int> temp = new List<int>();
for(int i = 0; i < a.Length; i++){
bool found = false;
for(int j = 0; j < b.Length; j++){
if(a[i] == b[j]){
found = true;
}
}
if(!found) temp.Add(a[i]);
}
temp.Sort();
return temp.ToArray();
}
I used a List in my solution but you could also use a new empty array that is the same length of a at the start of the method.

Don't reinvent the wheel, use LINQ. Anyhow, if you are doing this as an excercise to understand arrays, here is an impementation that avoids LINQ altoghether:
public static T[] Except<T>(this T[] first, T[] second)
{
if (first == null)
throw new ArgumentNullException(nameof(first));
if (second == null)
throw new ArgumentNullException(nameof(second));
if (second.Length == 0)
return first;
var counter = 0;
var newArray = new T[first.Length];
foreach (var f in first)
{
var found = false;
foreach (var s in second)
{
if (f.Equals(s))
{
found = true;
break;
}
}
if (!found)
{
newArray[counter] = f;
counter++;
}
}
Array.Resize(ref newArray, counter);
return newArray;
}

You can try this, without any generics collections :) Only arrays:
public class Program
{
static void Main(string[] args)
{
int resultLength = 0;
int[] arr1 = { 1, 2, 3, 4, 5, 6 };
int[] arr2 = { 3, 4 };
int[] result = new int[resultLength];
for(int i = 0; i < arr1.Length; i++)
{
if(!arr2.Exists(arr1[i]))
{
resultLength++;
Array.Resize(ref result, resultLength);
result[resultLength- 1] = arr1[i];
}
}
}
}
public static class MyExtensions
{
public static bool Exists(this int[] array, int value)
{
for(int i = 0; i < array.Length; i++)
{
if (array[i] == value)
return true;
}
return false;
}
}

How to find possible set of k Elements from array?

I have an array {1,2,3,4,5,6,7,8,9,10} and I have to find all combinations of k elements from array and k will be dynamic. So for 4 elements below code is sufficient but i have to make this dynamic means,it is not fixed that how many for loops will be used, so please suggest some solution for this.
for (i = 0; i < len - 3; i++)
{
for (j = i + 1; j < len - 2; j++)
{
for (y = j + 1; y < len - 1; y++)
{
for (k = y + 1; k < len; k++)
Console.WriteLine("{0},{1},{2},{3}", s[i], s[j],s[y], s[k]);
}
}
}

All you need is to replace i, j, y, ... with array and manually unroll the for loops like this
static void PrintCombinations(int[] input, int k)
{
var indices = new int[k];
for (int pos = 0, index = 0; ; index++)
{
if (index <= input.Length - k + pos)
{
indices[pos++] = index;
if (pos < k) continue;
// Consume the combination
for (int i = 0; i < k; i++)
{
if (i > 0) Console.Write(",");
Console.Write(input[indices[i]]);
}
Console.WriteLine();
pos--;
}
else
{
if (pos == 0) break;
index = indices[--pos];
}
}
}

You can use this methods for generating combinations of size l
public static List<List<T>> GenerateCombinations<T>(List<T> items, int l)
{
if (l == 0)
return new List<List<T>> { new List<T>() };
var allCombs = new List<List<T>>();
for (int i = 0; i < items.Count(); i++)
{
var listWithRemovedElement = new List<T>(items);
listWithRemovedElement.RemoveRange(0, i + 1);
foreach (var combination in GenerateCombinations(listWithRemovedElement, l - 1))
{
var comb = new List<T>(listWithRemovedElement.Count + 1);
comb.Add(items[i]);
comb.AddRange(combination);
allCombs.Add(comb);
}
}
return allCombs;
}
You can use this methods for generating permutations of size l
public static List<List<T>> GeneratePermutations<T>(List<T> items, int l)
{
if (l == 0)
return new List<List<T>> { new List<T>() };
var allCombs = new List<List<T>>();
for (int i = 0; i < items.Count(); i++)
{
var listWithRemovedElement = new List<T>(items);
listWithRemovedElement.RemoveAt(i);
foreach (var combination in GeneratePermutations(listWithRemovedElement, l - 1))
{
var comb = new List<T>(listWithRemovedElement.Count + 1);
comb.Add(items[i]);
comb.AddRange(combination);
allCombs.Add(comb);
}
}
return allCombs;
}
Permutationsof { 1, 2, 3 } with size of 2
var result = GeneratePermutations(new List<int>() { 1, 2, 3 }, 2);
foreach (var perm in result)
Console.WriteLine(string.Join(",", perm));
1,2
1,3
2,1
2,3
3,1
3,2
Combinations of { 1, 2, 3 } with size of 2
var result = GenerateCombinations(new List<int>() { 1, 2, 3 }, 2);
foreach (var comb in result)
Console.WriteLine(string.Join(",", comb));
1,2
1,3
2,3

This isn't how I'd do it in "real life", but since this seems to be a simple homework-style problem aimed at getting you to use recursion and with the aim of simply writing out the combinations, this is a reasonably simple solution:
class Program
{
public static void Main()
{
int[] test = { 1, 2, 3, 4, 5 };
int k = 4;
WriteCombinations(test, k);
Console.ReadLine();
}
static void WriteCombinations(int[] array, int k, int startPos = 0, string prefix = "")
{
for (int i = startPos; i < array.Length - k + 1; i++)
{
if (k == 1)
{
Console.WriteLine("{0}, {1}", prefix, array[i]);
}
else
{
string newPrefix = array[i].ToString();
if (prefix != "")
{
newPrefix = string.Format("{0}, {1}", prefix, newPrefix);
}
WriteCombinations(array, k - 1, i + 1, newPrefix);
}
}
}
}
If having optional parameters is not "basic" enough, then you can either take away the default values and pass in 0 and "" on the first call, or you can create another "wrapper" method that takes fewer parameters and then calls the first method with the defaults.

Count similar adjacent items in List<string>

I'm trying to find similar adjacent items in List and count its number, e.g.:
List<string> list = new List<string> {"a", "a", "b", "d", "c", "c"};
Desired Output:
a = 2, c = 2
What I've done is use for loop to iterate over each element of the list and to see whether it has similar adjacent element, but understandably it gives ArgumentOutOfRangeException() because I don't know how to keep track of the position of the iterator so that it doesn't go out of bounds. Here's what I've done:
for (int j = 0; j < list.Count; j++)
{
if (list[j] == "b")
{
if ((list[j + 1] == "b") && (list[j - 1] == "b"))
{
adjacent_found = true;
}
}
}
Having said that, if there's another easier way to find similar adjacent elements in a List other than using for loop iteration, please advise. Thanks.

You can do something like this:
static IEnumerable<Tuple<string, int>> FindAdjacentItems(IEnumerable<string> list)
{
string previous = null;
int count = 0;
foreach (string item in list)
{
if (previous == item)
{
count++;
}
else
{
if (count > 1)
{
yield return Tuple.Create(previous, count);
}
count = 1;
}
previous = item;
}
if (count > 1)
{
yield return Tuple.Create(previous, count);
}
}

for (int i= 0; i < list.Count; i++)
{
for (int j = i + 1; j < list.Count; j++)
{
if (list[i] == list[j])
{
adjacent_found = true;
count++;
}
}
}

Check this:
Dictionary<char,int> dic=new Dictionary<char,int>();
for(int i=1;i<list.count;i++)
{
if(list[i]==list[i-1])
{
if(dic.ContainsKey(list[i]))
{
dic[list[i]]+=1;
}
else
{
dic.Add(list[i],2)
}
}
}

To avoid ArgumentOutOfRangeException use for (int j = 1; j < list.Count - 1; j++). Desired answer can't be achieved this way. Try this:
IEnumerable<Adjacent> CountAdjacents(List<string> source)
{
var result = new List<Adjacent>();
for (var i = 0; i < source.Count() - 1; i++)
{
if (source[i] == source[i + 1])
{
if (result.Any(x => x.Word == source[i]))
{
result.Single(x => x.Word == source[i]).Quantity++;
}
else
result.Add(new Adjacent
{
Word = source[i],
Quantity = 2
});
}
}
return result;
}
class Adjacent
{
public string Word;
public int Quantity;
}

Maintain an int array of 256 size, initialized to 1. Run a loop [O(n)] for i=0 to i-2, compare each char with the next char. If same then find the ascii value of the char and increment the corresponding value in array.
Hope this helps!

How to get all subsets of an array?

Given an array: [dog, cat, mouse]
what is the most elegant way to create:
[,,]
[,,mouse]
[,cat,]
[,cat,mouse]
[dog,,]
[dog,,mouse]
[dog,cat,]
[dog,cat,mouse]
I need this to work for any sized array.
This is essentially a binary counter, where array indices represent bits. This presumably lets me use some bitwise operation to count, but I can't see a nice way of translating this to array indices though.

Elegant? Why not Linq it.
public static IEnumerable<IEnumerable<T>> SubSetsOf<T>(IEnumerable<T> source)
{
if (!source.Any())
return Enumerable.Repeat(Enumerable.Empty<T>(), 1);
var element = source.Take(1);
var haveNots = SubSetsOf(source.Skip(1));
var haves = haveNots.Select(set => element.Concat(set));
return haves.Concat(haveNots);
}

string[] source = new string[] { "dog", "cat", "mouse" };
for (int i = 0; i < Math.Pow(2, source.Length); i++)
{
string[] combination = new string[source.Length];
for (int j = 0; j < source.Length; j++)
{
if ((i & (1 << (source.Length - j - 1))) != 0)
{
combination[j] = source[j];
}
}
Console.WriteLine("[{0}, {1}, {2}]", combination[0], combination[1], combination[2]);
}

You can use the BitArray class to easily access the bits in a number:
string[] animals = { "Dog", "Cat", "Mouse" };
List<string[]> result = new List<string[]>();
int cnt = 1 << animals.Length;
for (int i = 0; i < cnt; i++) {
string[] item = new string[animals.Length];
BitArray b = new BitArray(i);
for (int j = 0; j < item.Length; j++) {
item[j] = b[j] ? animals[j] : null;
}
result.Add(item);
}

static IEnumerable<IEnumerable<T>> GetSubsets<T>(IList<T> set)
{
var state = new BitArray(set.Count);
do
yield return Enumerable.Range(0, state.Count)
.Select(i => state[i] ? set[i] : default(T));
while (Increment(state));
}
static bool Increment(BitArray flags)
{
int x = flags.Count - 1;
while (x >= 0 && flags[x]) flags[x--] = false ;
if (x >= 0) flags[x] = true;
return x >= 0;
}
Usage:
foreach(var strings in GetSubsets(new[] { "dog", "cat", "mouse" }))
Console.WriteLine(string.Join(", ", strings.ToArray()));

Guffa's answer had the basic functionality that I was searching, however the line with
BitArray b = new BitArray(i);
did not work for me, it gave an ArgumentOutOfRangeException. Here's my slightly adjusted and working code:
string[] array = { "A", "B", "C","D" };
int count = 1 << array.Length; // 2^n
for (int i = 0; i < count; i++)
{
string[] items = new string[array.Length];
BitArray b = new BitArray(BitConverter.GetBytes(i));
for (int bit = 0; bit < array.Length; bit++) {
items[bit] = b[bit] ? array[bit] : "";
}
Console.WriteLine(String.Join("",items));
}

Here's a solution similar to David B's method, but perhaps more suitable if it's really a requirement that you get back sets with the original number of elements (even if empty):.
static public List<List<T>> GetSubsets<T>(IEnumerable<T> originalList)
{
if (originalList.Count() == 0)
return new List<List<T>>() { new List<T>() };
var setsFound = new List<List<T>>();
foreach (var list in GetSubsets(originalList.Skip(1)))
{
setsFound.Add(originalList.Take(1).Concat(list).ToList());
setsFound.Add(new List<T>() { default(T) }.Concat(list).ToList());
}
return setsFound;
}
If you pass in a list of three strings, you'll get back eight lists with three elements each (but some elements will be null).

Here's an easy-to-follow solution along the lines of your conception:
private static void Test()
{
string[] test = new string[3] { "dog", "cat", "mouse" };
foreach (var x in Subsets(test))
Console.WriteLine("[{0}]", string.Join(",", x));
}
public static IEnumerable<T[]> Subsets<T>(T[] source)
{
int max = 1 << source.Length;
for (int i = 0; i < max; i++)
{
T[] combination = new T[source.Length];
for (int j = 0; j < source.Length; j++)
{
int tailIndex = source.Length - j - 1;
combination[tailIndex] =
((i & (1 << j)) != 0) ? source[tailIndex] : default(T);
}
yield return combination;
}
}

This is a small change to Mehrdad's solution above:
static IEnumerable<T[]> GetSubsets<T>(T[] set) {
bool[] state = new bool[set.Length+1];
for (int x; !state[set.Length]; state[x] = true ) {
yield return Enumerable.Range(0, state.Length)
.Where(i => state[i])
.Select(i => set[i])
.ToArray();
for (x = 0; state[x]; state[x++] = false);
}
}
or with pointers
static IEnumerable<T[]> GetSubsets<T>(T[] set) {
bool[] state = new bool[set.Length+1];
for (bool *x; !state[set.Length]; *x = true ) {
yield return Enumerable.Range(0, state.Length)
.Where(i => state[i])
.Select(i => set[i])
.ToArray();
for (x = state; *x; *x++ = false);
}
}

I'm not very familiar with C# but I'm sure there's something like:
// input: Array A
foreach S in AllSubsetsOf1ToN(A.Length):
print (S.toArray().map(lambda x |> A[x]));
Ok, I've been told the answer above won't work. If you value elegance over efficiency, I would try recursion, in my crappy pseudocode:
Array_Of_Sets subsets(Array a)
{
if (a.length == 0)
return [new Set();] // emptyset
return subsets(a[1:]) + subsets(a[1:]) . map(lambda x |> x.add a[0])
}

Here is a variant of mqp's answer, that uses as state a BigInteger instead of an int, to avoid overflow for collections containing more than 30 elements:
using System.Numerics;
public static IEnumerable<IEnumerable<T>> GetSubsets<T>(IList<T> source)
{
BigInteger combinations = BigInteger.One << source.Count;
for (BigInteger i = 0; i < combinations; i++)
{
yield return Enumerable.Range(0, source.Count)
.Select(j => (i & (BigInteger.One << j)) != 0 ? source[j] : default);
}
}

Easy to understand version (with descriptions)
I assumed that source = {1,2,3,4}
public static IEnumerable<IEnumerable<T>> GetSubSets<T>(IEnumerable<T> source)
{
var result = new List<IEnumerable<T>>() { new List<T>() }; // empty cluster added
for (int i = 0; i < source.Count(); i++)
{
var elem = source.Skip(i).Take(1);
// for elem = 2
// and currently result = [ [],[1] ]
var matchUps = result.Select(x => x.Concat(elem));
//then matchUps => [ [2],[1,2] ]
result = result.Concat(matchUps).ToList();
// matchUps and result concat operation
// finally result = [ [],[1],[2],[1,2] ]
}
return result;
}

The way this is written, it is more of a Product (Cartesian product) rather than a list of all subsets.
You have three sets: (Empty,"dog"), (Empty,"cat"),(Empty,"mouse").
There are several posts on general solutions for products. As noted though, since you really just have 2 choices for each axis a single bit can represent the presence or not of the item.
So the total set of sets is all numbers from 0 to 2^N-1. If N < 31 an int will work.