Problem:
Score : 100 points

Problem Statement

Based on some criterion, Snuke divided the integers from 1 through 12 into three groups as shown in the figure below.
Given two integers x and y (1 ≤ x < y ≤ 12), determine whether they belong to the same group.

Constraints

x and y are integers.

1 ≤ x < y ≤ 12

Input

Input is given from Standard Input in the following format:

x y

Output

If x and y belong to the same group, print Yes; otherwise, print No.

Sample Input 1

1 3

Sample Output 1

Yes

Sample Input 2

2 4

Sample Output 2

No

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

using System;
using System.Collections.Generic;
using System.Linq;
using BitArray = System.Collections.BitArray;
using BigInteger = System.Numerics.BigInteger;
using TextReader = System.IO.TextReader;
using System.Text;

namespace AtCoderProject
{
    public class Program
    {
        public object Calc()
        {
            var N = consoleReader.Int;
            var M = consoleReader.Int;
            var uf = new UnionFind(13);
            uf.UnionSet(1, 3);
            uf.UnionSet(1, 5);
            uf.UnionSet(1, 7);
            uf.UnionSet(1, 8);
            uf.UnionSet(1, 10);
            uf.UnionSet(1, 12);
            uf.UnionSet(4, 6);
            uf.UnionSet(4, 9);
            uf.UnionSet(4, 11);

            return uf.IsSameSet(N, M) ? "Yes" : "No";
        }
        class UnionFind
        {
            int[] data;
            public UnionFind(int size)
            {
                this.data = Enumerable.Repeat(-1, size).ToArray();
            }

            public int Root(int x)
            {
                if (data[x] < 0) return x;
                return data[x] = Root(data[x]);
            }
            public int Count(int x) => -data[Root(x)];
            public void UnionSet(int x, int y)
            {
                var xRoot = Root(x);
                var yRoot = Root(y);
                if (xRoot == yRoot) return;
                else if (data[yRoot] < data[xRoot])//y側の方が多い場合は逆にする
                {
                    var tmp = yRoot;
                    yRoot = xRoot;
                    xRoot = tmp;
                }
                data[xRoot] += data[yRoot];
                data[yRoot] = xRoot;
            }
            public bool IsSameSet(int x, int y) => Root(x) == Root(y);
        }


        #region いつもの
#pragma warning disable
        private ConsoleReader consoleReader;
        public Program(ConsoleReader consoleReader) { this.consoleReader = consoleReader; }
        static void Main() => Console.WriteLine(new Program(new ConsoleReader(Console.In)).Calc()); static string AllLines<T>(IEnumerable<T> source) => string.Join("\n", source);
    }
    static class Ext
    {
        public static Dictionary<TKey, int> GroupCount<TSource, TKey>(this IEnumerable<TSource> source, Func<TSource, TKey> keySelector) => source.GroupBy(keySelector).ToDictionary(g => g.Key, g => g.Count());
        public static Dictionary<TKey, int> GroupCount<TKey>(this IEnumerable<TKey> source) => source.GroupCount(i => i);
    }
    public class ConsoleReader { private string[] ReadLineSplit() => textReader.ReadLine().Split(Array.Empty<char>(), StringSplitOptions.RemoveEmptyEntries); private string[] line = Array.Empty<string>(); private int linePosition; private TextReader textReader; public ConsoleReader(TextReader tr) { textReader = tr; } public int Int => int.Parse(String); public long Long => long.Parse(String); public double Double => double.Parse(String); public string String { get { if (linePosition >= line.Length) { linePosition = 0; line = ReadLineSplit(); } return line[linePosition++]; } } public class SplitLine { private string[] splited; public SplitLine(ConsoleReader cr) { splited = cr.ReadLineSplit(); cr.line = Array.Empty<string>(); } public int[] Int => String.Select(x => int.Parse(x)).ToArray(); public int[] Int0 => String.Select(x => int.Parse(x) - 1).ToArray(); public long[] Long => String.Select(x => long.Parse(x)).ToArray(); public double[] Double => String.Select(x => double.Parse(x)).ToArray(); public string[] String => splited; } public SplitLine Split => new SplitLine(this); public class RepeatReader : IEnumerable<ConsoleReader> { ConsoleReader cr; int count; public RepeatReader(ConsoleReader cr, int count) { this.cr = cr; this.count = count; } public IEnumerator<ConsoleReader> GetEnumerator() => Enumerable.Repeat(cr, count).GetEnumerator(); System.Collections.IEnumerator System.Collections.IEnumerable.GetEnumerator() => GetEnumerator(); public IEnumerable<string> String => this.Select(cr => cr.String); public IEnumerable<int> Int => this.Select(cr => cr.Int); public IEnumerable<int> Int0 => this.Select(cr => cr.Int - 1); public IEnumerable<long> Long => this.Select(cr => cr.Long); public IEnumerable<double> Double => this.Select(cr => cr.Double); } public RepeatReader Repeat(int count) => new RepeatReader(this, count); }
    #endregion
}