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,k;
scanf("%d%d",&n,&k);
int  a[n];
for(int  i=0;i<n;i++)
{
scanf("%d",&a[i]);
}
int *b=(int*)calloc(n,sizeof(int));
int *c=(int*)calloc(n,sizeof(int));
while(k--)
{
int arr[2];
for(int i=0;i<2;i++)
{
scanf("%d",&arr[i]);
}
if(a[arr[0]-1]>a[arr[1]-1]&&b[arr[0]-1]!=arr[1])
{
c[arr[0]-1]++;
b[arr[0]-1]=arr[1];
}
else if(a[arr[1]-1]>a[arr[0]-1]&&b[arr[1]-1]!=arr[0])
{
c[arr[1]-1]++;
b[arr[1]-1]=arr[0];
}
}
int sum=0;
for(int i=0;i<n;i++)
{
if(c[i]!=0)
{
sum=sum+1;
}
}
printf("%d",sum);
return 0;
}