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 (Clang 10.0.0) (judge verdict: Runtime Error)

#include <stdio.h>

int main(void){
    int n,m;
    scanf("%d%d",&n,&m);
    long long int h[n];
    int a[m];
    int b[m];
    int count_m[n];
    int count_h[n][m];
    for(int i=0; i<n; i++){
        count_m[i]=0;
        for(int j=0; j<m; j++){
            count_h[i][j]=0;
        }
    }
    int ans=0;
    for(int i=0; i<n; i++){
        scanf("%lld",&h[i]);
    }
    for(int i=0; i<m; i++){
        scanf("%d%d",&a[i],&b[i]);
        count_h[a[i]-1][count_m[a[i]-1]]=b[i]-1;
        count_h[b[i]-1][count_m[b[i]-1]]=a[i]-1;
        count_m[a[i]-1]++;
        count_m[b[i]-1]++;
    }
    int f=0;
    for(int i=0; i<n; i++){
        f=0;
        if(count_m[i]==0){
            ans++;
        }else{
            for(int j=0; j<count_m[i]; j++){
                if(h[count_h[i][j]]>=h[i]){
                    f--;
                }
            }
            if(f==0){
                ans++;
            }
        }
    }
/*    for(int i=0; i<n; i++){
        printf("m:%d\n",count_m[i]);
    }
    for(int i=0; i<n; i++){
        for(int j=0; j<m; j++){
            printf("%d\t",count_h[i][j]);
        }
        printf("\n");
    }*/
    printf("%d\n",ans);
    return 0;
}