Problem:
Score : 200 points

Problem Statement

Katsusando loves omelette rice.

Besides, he loves crème brûlée, tenderloin steak and so on, and believes that these foods are all loved by everyone.

To prove that hypothesis, he conducted a survey on M kinds of foods and asked N people whether they like these foods or not.

The i-th person answered that he/she only likes the A_{i1}-th, A_{i2}-th, ..., A_{iK_i}-th food.

Find the number of the foods liked by all the N people.

Constraints

All values in input are integers.

1 \leq N, M \leq 30

1 \leq K_i \leq M

1 \leq A_{ij} \leq M

For each i (1 \leq i \leq N), A_{i1}, A_{i2}, ..., A_{iK_i} are distinct.

Constraints

Input is given from Standard Input in the following format:

N M
K_1 A_{11} A_{12} ... A_{1K_1}
K_2 A_{21} A_{22} ... A_{2K_2}
:
K_N A_{N1} A_{N2} ... A_{NK_N}

Output

Print the number of the foods liked by all the N people.

Sample Input 1

3 4
2 1 3
3 1 2 3
2 3 2

Sample Output 1

1

As only the third food is liked by all the three people, 1 should be printed.

Sample Input 2

5 5
4 2 3 4 5
4 1 3 4 5
4 1 2 4 5
4 1 2 3 5
4 1 2 3 4

Sample Output 2

0

Katsusando's hypothesis turned out to be wrong.

Sample Input 3

1 30
3 5 10 30

Sample Output 3

3

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

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace AtCoder
{
    class Program
    {

        static void Main()
        {

            //ここまで
            int[] str = ReadLineToIntArray();
            int N = str[0];
            int M = str[1];

            List<bool> A = new List<bool>();
            for(int i = 0; i < M; i++)
            {
                A.Add(true);
            }

            for(int i = 0; i < N; i++)
            {
                List<int> temp = ReadLineToIntList();
                temp.RemoveAt(0);
                for(int j = 0; j < M; j++)
                {
                    if (!temp.Any(t => t == j+1))
                    {
                        A[j] = false;
                    }
                }
            }

            int ans = A.Where(a => a == true).Count();

            Console.WriteLine(ans);
            Console.ReadKey();
        }


        static public void Swap<T>(ref T a,ref T b) { T temp = a;a = b;b = temp; }
        static public long GCD(int a, int b){ return b != 0 ? GCD(b, a % b) : a;}
        static public long LCM(int a, int b){ return (long)a * b / GCD(a, b); }



        
        static public string ReadLineToString(){return Console.ReadLine();}
        static public int ReadLineToInt(){return int.Parse(Console.ReadLine());}
        static public long ReadLineToLong() { return long.Parse(Console.ReadLine()); }
        static public string[] ReadLineToStringArray(){return Console.ReadLine().Split(' ').ToArray();}
        static public int[] ReadLineToIntArray(){return Console.ReadLine().Split(' ').Select(int.Parse).ToArray();}
        static public long[] ReadLineToLongArray() { return Console.ReadLine().Split(' ').Select(long.Parse).ToArray(); }
        static public List<string> ReadLineToStringList(){return Console.ReadLine().Split(' ').ToList();}
        static public List<int> ReadLineToIntList(){return Console.ReadLine().Split(' ').Select(int.Parse).ToList();}
        static public List<long> ReadLineToLongList() { return Console.ReadLine().Split(' ').Select(long.Parse).ToList(); }



    }
}