100 doors exercise code using C# Can you please check my code if it is correct for the problem 100 doors?

This is the problem:        


  You have 100 doors in a row that are all initially closed. You make 100 passes by the doors. The first time through, you visit every door and toggle the door (if the door is closed, you open it; if it is open, you close it). The second time you only visit every 2nd door (door #2, #4, #6, ...). The third time, every 3rd door (door #3, #6, #9, ...), etc, until you only visit the 100th door.
  Question: What state are the doors in after the last pass? Which are open, which are closed?


static void Main(string[] args)
    {
        bool[] doors = new bool[100];

        bool test = true;
        bool temp1 = false;
        bool temp2 = true;
        bool temp;

        for (int i = 1; i &lt;= 100; i++) {

            if (i == 3) {
                temp = temp1;
                temp1 = temp2;
                temp2 = temp;
            }

            if (test == true) {

                for (int a = 1; a &lt;= 100; a++) {

                    if (a % i == 0) {

                        doors[a - 1] = temp1;
                    }
                    else if(a % i != 0)
                        doors[a - 1] = temp2;
                }
            }
            else if (test == false) {

                for (int c = 0; c &lt; 100; c++) {

                    doors[c] = true;

                }
                test = true;
            }            
        }
        for (int d = 0; d &lt; 100; d++) {
            Console.WriteLine(doors[d]);
        }

            Console.ReadKey();
    }
}
I have no idea what this does:

if (i == 3) {
    temp = temp1;
    temp1 = temp2;
    temp2 = temp;
}


Please don't say if (test == true) or if (test == false)

but just if (test) or if (!test)

and you can just say else instead else if (test == false)

But your code in overly complex anyway. How about just this:

    bool[] doors = new bool[101];
    for (int step = 1; step &lt;= 100; ++step) {
        for (int door = step; door &lt;= 100; door += step) {
            doors[door] = !doors[door];
        }
    }

    for (int door = 1; door &lt;= 100; ++door) {
        if (doors[door]) Console.WriteLine(door);
    }


You'll see that the output is all the square numbers: 1, 4, 9, 16, 25, 36, 49, 64, 81 and 100