// Use this for initialization
	void Start () {
		int i_max = 128;
		int x_min = -128;
		int x_max = 128;
		int y_min = 0;
		int y_max = 128;
		int set_size = 12;

		CreateTheEnd(i_max, x_min, y_min, x_max, y_max);
		Output(i_max, x_min, y_min, x_max, y_max, set_size);
	}

	// Update is called once per frame
	void Update () {

	}

	void CreateTheEnd(int i_max = 64, int x_min = -64, int y_min = 0, int x_max = 64, int y_max = 64)
	{
		theend.Clear();

		for (int i = 0; i < i_max; i++)
		{
			for (int j = 0; j < i; j++)
			{
				int a = i - j;
				int b = i + j;
				int c = a * b;
			//	bool odd = c % 2 == 1;
				int d = (int)Math.Sqrt(c);
				int e = c - (d * d);
				int f = e - ((2 * d) + 1);
				int n = i - d;
				int x = d - a;

				if (!theend.ContainsKey(e)) theend[e] = new Dictionary<int, List<string>>();

				if (!theend[e].ContainsKey(n))
				{
					theend[e][n] = new List<string>();
				}

				if (!theend.ContainsKey(f)) theend[f] = new Dictionary<int, List<string>>();

				if (!theend[f].ContainsKey(n - 1)) theend[f][n - 1] = new List<string>();

				string text = "{" + string.Format("{0}:{1}:{2}:{3}:{4}:{5}", e, n, d, x, a, b) + "}";

				theend[e][n].Add(text);

				text = "{" + string.Format("{0}:{1}:{2}:{3}:{4}:{5}", f, n - 1, d + 1, x + 1, a, b) + "}";

				theend[f][n - 1].Add(text);
			}
		}
	}

	void Output(int i_max = 64, int x_min = -64, int y_min = 0, int x_max = 64, int y_max = 64, int set_size = 12)
	{
		Vector3 last_position = new Vector3 (0.0f, 0.0f, 0.0f);
		for (int y = 0; y < y_max; y++)
		{
			for (int z = 0; z < set_size; z++)
			{
				for (int x = x_min; x < x_max; x++)
				{
					if (theend.ContainsKey(x) && theend[x].ContainsKey(y) && theend[x][y].Count > z)
					{
						String[] values = theend[x][y][z].Split(':');

						int e = Int32.Parse(values[0].Split('{')[1]);
						int n = Int32.Parse(values[1]);
					//	int d = Int32.Parse(values[2]);
		//				int xx = Int32.Parse(values[3]);
						int a = Int32.Parse(values[4]);
						int b = Int32.Parse(values[5].Split('}')[0]);
					//	int c = a * b;

						Vector3 position = new Vector3 (e, n, e * n);
						GameObject sphere = GameObject.CreatePrimitive (PrimitiveType.Sphere);

						if (e % 2 == 0) {
							last_position = position;
							sphere.transform.position = position;
							sphere.GetComponent<Renderer> ().material.color = new Color (1.0f, 1.0f, 1.0f);
							sphere.GetComponent<MeshRenderer> ().receiveShadows = false;
							sphere.GetComponent<MeshRenderer> ().shadowCastingMode = UnityEngine.Rendering.ShadowCastingMode.Off;
						} else {
							sphere.transform.position = position;
							sphere.GetComponent<Renderer> ().material.color = new Color (0.0f, 0.0f, 0.0f);
							sphere.GetComponent<MeshRenderer> ().receiveShadows = false;
							sphere.GetComponent<MeshRenderer> ().shadowCastingMode = UnityEngine.Rendering.ShadowCastingMode.Off;
						}
						if (e % (a + b) / 2 == x)
						{
							sphere.transform.position = position;
							sphere.GetComponent<Renderer> ().material.color = new Color(1.0f, 0.0f, 0.0f);
							sphere.GetComponent<MeshRenderer> ().receiveShadows = false;
							sphere.GetComponent<MeshRenderer> ().shadowCastingMode = UnityEngine.Rendering.ShadowCastingMode.Off;
						}
					}
				}
			}
		}
	}
}