Problem:
Score : 300 points

Problem Statement

There are N observatories in AtCoder Hill, called Obs. 1, Obs. 2, ..., Obs. N. The elevation of Obs. i is H_i.
There are also M roads, each connecting two different observatories. Road j connects Obs. A_j and Obs. B_j.

Obs. i is said to be good when its elevation is higher than those of all observatories that can be reached from Obs. i using just one road.
Note that Obs. i is also good when no observatory can be reached from Obs. i using just one road.

How many good observatories are there?

Constraints

2 \leq N \leq 10^5

1 \leq M \leq 10^5

1 \leq H_i \leq 10^9

1 \leq A_i,B_i \leq N

A_i \neq B_i

Multiple roads may connect the same pair of observatories.

All values in input are integers.

Input

Input is given from Standard Input in the following format:

N M
H_1 H_2 ... H_N
A_1 B_1
A_2 B_2
:
A_M B_M

Output

Print the number of good observatories.

Sample Input 1

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

Sample Output 1

2

From Obs. 1, you can reach Obs. 3 using just one road. The elevation of Obs. 1 is not higher than that of Obs. 3, so Obs. 1 is not good.

From Obs. 2, you can reach Obs. 3 and 4 using just one road. The elevation of Obs. 2 is not higher than that of Obs. 3, so Obs. 2 is not good.

From Obs. 3, you can reach Obs. 1 and 2 using just one road. The elevation of Obs. 3 is higher than those of Obs. 1 and 2, so Obs. 3 is good.

From Obs. 4, you can reach Obs. 2 using just one road. The elevation of Obs. 4 is higher than that of Obs. 2, so Obs. 4 is good.

Thus, the good observatories are Obs. 3 and 4, so there are two good observatories.

Sample Input 2

6 5
8 6 9 1 2 1
1 3
4 2
4 3
4 6
4 6

Sample Output 2

3

Solution in C# (.NET Core 3.1.201) (judge verdict: Wrong Answer)

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

namespace ConsoleApp2
{
    class Program
    {
        static void Main(string[] args)
        {
            var input_0 = GetLongNumArray();
            var tenboudai = GetLongNumArray().ToList();
            var mitiList = new List<string[]>();
            var deleteList = new List<long>();

            for (int i = 0; i < input_0[1]; i++)
            {
                var input_1 = GetStringArray();
                mitiList.Add(input_1);
            }

            foreach (var item in mitiList)
            {
                var x = int.Parse(item[0]) - 1;
                var y = int.Parse(item[1]) - 1;

                if (deleteList.Contains(tenboudai[x]) || deleteList.Contains(tenboudai[y])) continue;

                if (tenboudai[x] > tenboudai[y])
                {
                    deleteList.Add(tenboudai[y]);
                }
                else if (tenboudai[x] < tenboudai[y]
                    || tenboudai[x] == tenboudai[y])
                {
                    deleteList.Add(tenboudai[x]);
                }
            }

            foreach (var item in deleteList.Distinct())
            {
                tenboudai.RemoveAll(x => x == item);
            }

            Console.WriteLine(tenboudai.Count);
        }

        private static long[] GetLongNumArray()
        {
            var input = Console.ReadLine().Split(' ');
            return input.Select(x => long.Parse(x)).ToArray();
        }

        private static long GetLongNum()
        {
            return long.Parse(Console.ReadLine());
        }

        private static string[] GetStringArray()
        {
            return Console.ReadLine().Split(' ');
        }

        private static string GetString()
        {
            return Console.ReadLine();
        }
    }
}