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 Java (OpenJDK 11.0.6) (judge verdict: Accepted)

import java.io.*;
import java.util.*;

class Main
{
	public static void main(String[] args) throws IOException
	{
		Scan in = new Scan();
		Print out = new Print();
		int n = in.scanInt();
		int m = in.scanInt();
		int[] h = new int[n];

		for(int i=0; i<n; i++) {
			h[i] = in.scanInt();
		}

		Map<Integer, Integer> map = new HashMap<>();

		for(int i=0; i<m; i++) {
			int u = in.scanInt();
			int v = in.scanInt();
			if(!map.containsKey(u)) {
				map.put(u, Integer.MIN_VALUE);
			}
			if(!map.containsKey(v)) {
				map.put(v, Integer.MIN_VALUE);
			}

			map.put(u, Math.max(map.get(u), h[v-1]));
			map.put(v, Math.max(map.get(v), h[u-1]));
		}

		int answer = 0;

		for(int i=0; i<n; i++) {
			if(!map.containsKey(i+1)) {
				answer++;
				continue;
			}
			if(h[i] > map.get(i+1)) {
				answer += 1;
			}
		}
		out.println(answer);
		out.close();
	}
}

class Scan
{
	private byte[] buf=new byte[1024];
	private int index;
	private InputStream in;
	private int total;
	public Scan()
	{
		in=System.in;
	}
	public int scan()throws IOException
	{
		if(total<0)
			throw new InputMismatchException();
		if(index>=total)
		{
			index=0;
			total=in.read(buf);
			if(total<=0)
				return -1;
		}
		return buf[index++];
	}
	public int scanInt()throws IOException
	{
		int integer=0;
		int n=scan();
		while(isWhiteSpace(n))
			n=scan();
		int neg=1;
		if(n=='-')
		{
			neg=-1;
			n=scan();
		}
		while(!isWhiteSpace(n))
		{
			if(n>='0'&&n<='9')
			{
				integer*=10;
				integer+=n-'0';
				n=scan();
			}
			else throw new InputMismatchException();
		}
		return neg*integer;
	}
	public double scanDouble()throws IOException
	{
		double doub=0;
		int n=scan();
		while(isWhiteSpace(n))
			n=scan();
		int neg=1;
		if(n=='-')
		{
			neg=-1;
			n=scan();
		}
		while(!isWhiteSpace(n)&&n!='.')
		{
			if(n>='0'&&n<='9')
			{
				doub*=10;
				doub+=n-'0';
				n=scan();
			}
			else throw new InputMismatchException();
		}
		if(n=='.')
		{
			n=scan();
			double temp=1;
			while(!isWhiteSpace(n))
			{
				if(n>='0'&&n<='9')
				{
					temp/=10;
					doub+=(n-'0')*temp;
					n=scan();
				}
				else throw new InputMismatchException();
			}
		}
		return doub*neg;
	}
	public String scanString()throws IOException
	{
		StringBuilder sb=new StringBuilder();
		int n=scan();
		while(isWhiteSpace(n))
			n=scan();
		while(!isWhiteSpace(n))
		{
			sb.append((char)n);
			n=scan();
		}
		return sb.toString();
	}
	private boolean isWhiteSpace(int n)
	{
		if(n==' '||n=='\n'||n=='\r'||n=='\t'||n==-1)
			return true;
		return false;
	}
}

class Print
{
	private final BufferedWriter bw;
	public Print()
	{
		this.bw=new BufferedWriter(new OutputStreamWriter(System.out));
	}
	public void print(Object object)throws IOException
	{
		bw.append(""+object);
	}
	public void println(Object object)throws IOException
	{
		print(object);
		bw.append("\n");
	}
	public void println()throws IOException
	{
		bw.append("\n");
	}
	public void close()throws IOException
	{
		bw.close();
	}
}