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 (GCC 9.2.1) (judge verdict: Wrong Answer)

#include <stdio.h>
#include <stdlib.h>

int main(){

    int N;
    int M;
    scanf("%d",&N);
    scanf("%d",&M);
    int H[N];
    int store[N];
    
    for(int i=0; i<N; i++){
    	H[i]=0;
    	scanf("%d",&H[i]);
    	store[i]=1;
    }

    
    for(int i=0; i<M; i++){
    	int num1, num2;
        scanf("%d",&num1);
        scanf("%d",&num2);
        //printf("%d %d",num1, num2);
        num1 = num1-1;
        num2 = num2-1;
        if(H[num1]>=H[num2]){
            store[num2]=0;
        }else if(H[num2]>=H[num1]){
            store[num1]=0;
        }else if(H[num2]==H[num1]){
            store[num1]=1;
        }
    }
    int res=0;
    for(int i=0; i<N; i++){
        if(store[i]==1){
        	
        	res++;
        }
        //printf("%d\n",store[i]);
    }
    	
   	printf("%d\n",res);

    return 0;

}