Problem:
Score : 300 points

Problem Statement

Takahashi, Aoki and Snuke love cookies. They have A, B and C cookies, respectively. Now, they will exchange those cookies by repeating the action below:

Each person simultaneously divides his cookies in half and gives one half to each of the other two persons.

This action will be repeated until there is a person with odd number of cookies in hand.

How many times will they repeat this action?
Note that the answer may not be finite.

Constraints

1 ≤ A,B,C ≤ 10^9

Input

Input is given from Standard Input in the following format:

A B C

Output

Print the number of times the action will be performed by the three people, if this number is finite.
If it is infinite, print -1 instead.

Sample Input 1

4 12 20

Sample Output 1

3

Initially, Takahashi, Aoki and Snuke have 4, 12 and 20 cookies. Then,

After the first action, they have 16, 12 and 8.

After the second action, they have 10, 12 and 14.

After the third action, they have 13, 12 and 11.

Now, Takahashi and Snuke have odd number of cookies, and therefore the answer is 3.

Sample Input 2

14 14 14

Sample Output 2

-1

Sample Input 3

454 414 444

Sample Output 3

1

Solution in C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Collections.Generic;
using System.Diagnostics;
using System.IO;
using System.Linq;

namespace Codeforces
{
	internal class Template
	{
		private void Solve()
		{
			var list = new List<int>();
			for (var i = 0; i < 3; i++)
			{
				list.Add(cin.NextInt());
			}
			list.Sort();
			var count = 0;
			var visited = new HashSet<Tuple<int, int, int>>();
			visited.Add(Tuple.Create(list[0], list[1], list[2]));
			while (list.All(x => x%2 == 0))
			{
				count++;
				var newList = new List<int>();
				newList.Add(list[1]/2 + list[2]/2);
				newList.Add(list[0]/2 + list[2]/2);
				newList.Add(list[0]/2 + list[1]/2);
				newList.Sort();
				var key = Tuple.Create(newList[0], newList[1], newList[2]);
				if (visited.Contains(key))
				{
					Console.WriteLine(-1);
					return;
				}
				visited.Add(key);
				list = newList;
			}
			Console.WriteLine(count);
		}

		private static readonly Scanner cin = new Scanner();

		private static void Main()
		{
#if DEBUG
			var inputText = File.ReadAllText(@"..\..\input.txt");
			var testCases = inputText.Split(new[] { "input" }, StringSplitOptions.RemoveEmptyEntries);
			var consoleOut = Console.Out;
			for (var i = 0; i < testCases.Length; i++)
			{
				var parts = testCases[i].Split(new[] { "output" }, StringSplitOptions.RemoveEmptyEntries);
				Console.SetIn(new StringReader(parts[0].Trim()));
				var stringWriter = new StringWriter();
				Console.SetOut(stringWriter);
				var sw = Stopwatch.StartNew();
				new Template().Solve();
				sw.Stop();
				var output = stringWriter.ToString();

				Console.SetOut(consoleOut);
				var color = ConsoleColor.Green;
				var status = "Passed";
				if (parts[1].Trim() != output.Trim())
				{
					color = ConsoleColor.Red;
					status = "Failed";
				}
				Console.ForegroundColor = color;
				Console.WriteLine("Test {0} {1} in {2}ms", i + 1, status, sw.ElapsedMilliseconds);
			}
			Console.ReadLine();
			Console.ReadKey();
#else
			new Template().Solve();
			Console.ReadLine();
#endif
		}
	}

	internal class Scanner
	{
		private string[] s = new string[0];
		private int i;
		private readonly char[] cs = { ' ' };

		public string NextString()
		{
			if (i < s.Length) return s[i++];
			var line = Console.ReadLine() ?? string.Empty;
			s = line.Split(cs, StringSplitOptions.RemoveEmptyEntries);
			i = 1;
			return s.First();
		}

		public double NextDouble()
		{
			return double.Parse(NextString());
		}

		public int NextInt()
		{
			return int.Parse(NextString());
		}

		public long NextLong()
		{
			return long.Parse(NextString());
		}
	}
}