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: Accepted)

#include <iostream>
#include <string>
#include <vector>
#include <math.h>
#include <algorithm>
#include <stdint.h>
#include <queue>
#include <bitset>
#include <iomanip>
#include <set>
#include <map>

using namespace std;

#define PI (3.14159265358979323846)
#define INF (2147483647)
#define INF_LL (9223372036854775807)
#define DIV_NUM (1000000007)
typedef long long ll;

// 配列初期化テンプレ
template<typename A, size_t N, typename T>
void Fill(A(&array)[N], const T& val) {
	std::fill((T*)array, (T*)(array + N), val);
}




int main() {

	int N, M;
	cin >> N >> M;

	vector<int> peaks(N);
	for (int i = 0; i < N; i++) {
		cin >> peaks[i];
	}

	vector<int> connected(N, 0);
	for (int i = 0; i < M; i++) {
		int from, to;
		cin >> from >> to;
		connected[from - 1] = max(connected[from - 1], peaks[to - 1]);
		connected[to - 1] = max(connected[to - 1], peaks[from - 1]);
	}

	int ans = 0;
	for (int i = 0; i < N; i++) {
		if (peaks[i] > connected[i]) ans++;
	}

	cout << ans << endl;

	return 0;

}