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: Accepted)

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

namespace AtCoder
{
	public class ABC
	{
		static public void Main(string[] args)
		{
			Console.SetOut(new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false });
			Solve(args);
			Console.Out.Flush();
		}

		private const int mod = 1000000007;  // 10^9+7

		static public void Solve(string[] args)
		{
			//string s = Console.ReadLine();
			//int x = int.Parse(Console.ReadLine());
			//long x = long.Parse(Console.ReadLine());
			int[] vs = Console.ReadLine().Split().Select(int.Parse).ToArray();
			//long[] vs = Console.ReadLine().Split().Select(long.Parse).ToArray();
			int n = vs[0];
			int m = vs[1];
			int[][] h = new int[2][];
			h[0] = Console.ReadLine().Split().Select(int.Parse).ToArray();
			h[1] = new int[n];
			for (int i = 0; i < m; i++) {
				vs = Console.ReadLine().Split().Select(int.Parse).ToArray();
				int a = vs[0] - 1;
				int b = vs[1] - 1;
				h[1][a] = Math.Max(h[1][a], h[0][b]);
				h[1][b] = Math.Max(h[1][b], h[0][a]);
			}
			System.Diagnostics.Debug.WriteLine(string.Join(" ", h[0]));
			System.Diagnostics.Debug.WriteLine(string.Join(" ", h[1]));
			int ans = 0;
			for (int i = 0; i < n; i++) {
				if (h[0][i] > h[1][i]) {
					ans++;
				}
			}
			Console.WriteLine(ans);

		}
	}
}