Problem: We have N boxes, numbered 1 through N. At first, box 1 contains one red ball, and each of the other boxes contains one white ball.

Snuke will perform the following M operations, one by one. In the i-th operation, he randomly picks one ball from box x_i, then he puts it into box y_i.

Find the number of boxes that may contain the red ball after all operations are performed.

Constraints

* 2≤N≤10^5
* 1≤M≤10^5
* 1≤x_i,y_i≤N
* x_i≠y_i
* Just before the i-th operation is performed, box x_i contains at least 1 ball.

Input

The input is given from Standard Input in the following format:


N M
x_1 y_1
:
x_M y_M


Output

Print the number of boxes that may contain the red ball after all operations are performed.

Examples

Input

3 2
1 2
2 3


Output

2


Input

3 3
1 2
2 3
2 3


Output

1


Input

4 4
1 2
2 3
4 1
3 4


Output

3

Solution (in JAVA):

Solution:
import java.util.*;
import java.io.*;

	
public class Main {
	public static void main(String[] args) throws Exception {
		FastScanner sc = new FastScanner();
		PrintWriter out = new PrintWriter(System.out);
		
		int nb=sc.nextInt();
		int q=sc.nextInt();
		
		boolean[] psR = new boolean[nb];
		fill(psR,false);
		psR[0]=true;
		int[] neB = new int[nb];
		fill(neB,1);
		
		int from=0, to=0;
	   	for(int i=0; i<q; i++){
	        from=sc.nextInt()-1;
	        to=sc.nextInt()-1;
	        neB[from]--;
	        neB[to]++;
	        if(psR[from]) psR[to]=true;
	        if(neB[from]==0) psR[from]=false;
	   	}
	   	
	   	int ans=0;
	   	for(int i=0; i<nb; i++){
	   	    if(psR[i]) ans++;
	   	}
		out.println(ans);
		
		/*
		String s=sc.next();
		String t=sc.next();
		char[] cs=s.toCharArray();
		char[] ct=t.toCharArray();
		int ls=cs.length;
		int lt=ct.length;
		
		int[][] dp = new int[ls+1][lt+1];
		
		fill(dp[0],0);
	   	for(int i=0; i<=ls; i++){
	   	    dp[i][0]=0;
	   	}
	   	
	   	int Mnow=0;
	   	ArrayList<ArrayList<Integer[]>> up = new ArrayList<>();
	   	for(int i=1; i<=ls; i++){
			for(int j=1; j<=lt; j++){
			    dp[i][j] = max(dp[i-1][j], dp[i][j-1]);
			    if(cs[i-1]==ct[j-1]){
			        dp[i][j]= dp[i-1][j-1]+1;
		            Integer[] a = new Integer[2];
		            a[0]=i;
		            a[1]=j;
			        if(Mnow<dp[i][j]){
			            Mnow=dp[i][j];
			            ArrayList<Integer[]> b = new ArrayList<>();
			            b.add(a);
			            up.add(b);
			        }else{
			            up.get(dp[i][j]-1).add(a);
			        }
			    }
			}
	   	}
	   	
	   	char[] ansC = new char[Mnow];
	   	int x=INF, y=INF;
	   	while(Mnow>0){
	   	    for(Integer[] c:up.get(Mnow-1)){
	   	        if((c[0]<x)&&(c[1]<y)){
	   	            Mnow--;
	   	            x=c[0];
	   	            y=c[1];
	   	            ansC[Mnow]=cs[x-1];
	   	        }
	   	    }
	   	}
	   	
	   	out.println(new String(ansC));*/
		out.flush();
	}


	private static int INF = (int)1e8;
	private static long INFL = (long)1e17;
	private static int e97 = (int)1e9 + 7;
	
	
	private static int abs(int a){
	return (a>=0) ? a: -a;
	}
	private static long abs(long a){
	return (a>=0) ? a: -a;
	}
	
	private static int min(int a, int b){
	return (a>b) ? b : a;
	}
	private static long min(long a, long b){
	return (a>b) ? b : a;
	}
	
	private static int max(int a, int b){
		return (a>b) ? a : b;
	}
	private static long max(long a, long b){
		return (a>b) ? a : b;
	}
	
	private static int minN(int... ins){
		int min = ins[0];
		for(int i=1; i<ins.length; i++){
			if(ins[i] < min) min = ins[i];
		}
		return min;
	}
	private static int maxN(int... ins){
		int max = ins[0];
		for(int i=1; i<ins.length; i++){
			if(ins[i] > max) max = ins[i];
		}
		return max;
	}
	private static long minN(long... ins){
		long min = ins[0];
		for(int i=1; i<ins.length; i++){
			if(ins[i] < min) min = ins[i];
		}
		return min;
	}
	private static long maxN(long... ins){
		long max = ins[0];
		for(int i=1; i<ins.length; i++){
			if(ins[i] > max) max = ins[i];
		}
		return max;
	}
	
	private static int minExAd(int[] dt, int ad){
	int min=Integer.MAX_VALUE;
		for(int i=0; i<dt.length; i++){
			if((i != ad) && (dt[i] < min)) min = dt[i];
		}
		return min;
	}
	private static long minExAd(long[] dt, int ad){
	long min=Long.MAX_VALUE;
		for(int i=0; i<dt.length; i++){
			if((i != ad) && (dt[i] < min)) min = dt[i];
		}
		return min;
	}
	private static int minExVal(int[] dt, int ex_val){
	int min=Integer.MAX_VALUE;
		for(int i=0; i<dt.length; i++){
			if((dt[i] != ex_val) && (dt[i] < min)) min = dt[i];
		}
		return min;
	}
	private static long minExVal(long[] dt, long ex_val){
	long min=Long.MAX_VALUE;
		for(int i=0; i<dt.length; i++){
			if((dt[i] != ex_val) && (dt[i] < min)) min = dt[i];
		}
		return min;
	}
	
	private static boolean same3(long a, long b, long c){
	if(a!=b) return false;
	if(b!=c) return false;
	if(c!=a) return false;
	return true;
	}
	private static boolean dif3(long a, long b, long c){
	if(a==b) return false;
	if(b==c) return false;
	if(c==a) return false;
	return true;
	}
	
	private static int factorial(int n) {
		int ans=1;
		for(int i=n; i>0; i--){
			ans*=i;
		}
		return ans;
	}
	
	private static long gcd(long m, long n) {
		if(m < n) return gcd(n, m);
		if(n == 0) return m;
		return gcd(n, m % n);
	}
	
	private static int pow2(int in){
		return in*in;
	}
	private static long pow2(long in){
		return in*in;
	}
	
	private static int getDigit2(long num){
		long cf = 1;
		int d=0;
		while(num >= cf){
			d++;
			cf = 1<<d;
		}
		return d; //numはd桁の数で、2^dより小さい
	}
	
	private static int getDigit10L(long num){
		long cf = 1;
		int d=0;
		while(num >= cf){
			d++;
			cf*=10;
		}
		return d; //numはd桁の数で、10^dより小さい
	}
	
	private static boolean isINF(int in){
	if((in*20)>INF) return true;
	else return false;
	}
	private static boolean isINFL(long in){
	if((in*10000)>INFL) return true;
	else return false;
	}
	
	private static long pow10E97(long ob, int soeji){
		if(soeji==2) return (ob*ob)%e97;
		
		int d = getDigit2(soeji);
		long[] ob_pow_2pow = new long[d];
		
		ob_pow_2pow[0] = ob;
		for(int i=1; i<d; i++){
			ob_pow_2pow[i] = (ob_pow_2pow[i-1]*ob_pow_2pow[i-1])%e97;
		}
		
		long ans=1;
		for(int i=d-1; i>=0; i--){
			if(soeji >= (1<<i)){
				soeji -= (1<<i);
				ans = (ans*ob_pow_2pow[i])%e97;
			}
 		}
		
		return ans;
	}
	
	private static int flag(int pos){
	return (1<<pos);
	}
	private static boolean isFlaged(int bit, int pos){
	if((bit&(1<<pos)) > 0) return true;
	else return false;
	}
	private static int deflag(int bit, int pos){
	return bit&~(1<<pos);
	}
	private static void showflag(int bit){
	for(int i=0; i<getDigit2(bit); i++){
	if(isFlaged(bit,i)) System.out.print("O");
	else System.out.print(".");
	}
	}
	
	private static void fill(boolean[] ob, boolean res){
		for(int i=0; i<ob.length; i++){
			ob[i] = res;
		}
		return;
	}
	private static void fill(int[] ob, int res){
		for(int i=0; i<ob.length; i++){
			ob[i] = res;
		}
		return;
	}
	private static void fill(long[] ob, long res){
		for(int i=0; i<ob.length; i++){
			ob[i] = res;
		}
		return;
	}
	private static void fill(int[][] ob, int res){
		for(int i=0; i<ob.length; i++){
			for(int j=0; j<ob[0].length; j++){
				ob[i][j] = res;
			}
		}
		return;
	}
	private static void fill(long[][] ob, long res){
		for(int i=0; i<ob.length; i++){
			for(int j=0; j<ob[0].length; j++){
				ob[i][j] = res;
			}
		}
		return;
	}
	private static void fill(int[][][] ob, int res){
		for(int i=0; i<ob.length; i++){
			for(int j=0; j<ob[0].length; j++){
				for(int k=0; k<ob[0][0].length; k++){
			ob[i][j][k] = res;
				}
			}
		}
		return;
	}
	private static void fill(long[][][][] ob, long res){
		for(int i=0; i<ob.length; i++){
			for(int j=0; j<ob[0].length; j++){
				for(int k=0; k<ob[0][0].length; k++){
				for(int l=0; l<ob[0][0][0].length; l++){
				ob[i][j][k][l]=res;
				}
				}
			}
		}
		return;
	}
	
	static void show_b2d_array(boolean[][] dt, int lit_x, int lit_y){
		for(int i=0; i<dt[0].length; i++){
			for(int j=0; j<dt.length; j++){
				if((i==lit_y) && (j==lit_x)) System.out.print("X");
				else if(dt[j][i]) System.out.print("O");
				else System.out.print(".");
			}
			System.out.println();
		}
	}
	static void show_L2(long[][] dt, String cmnt){
		PrintWriter out = new PrintWriter(System.out);
		for(int i=0; i<dt[0].length; i++){
			for(int j=0; j<dt.length; j++){
				out.print(dt[j][i]+",");
			}
			out.println("<-"+cmnt+":"+i);
		}
		out.flush();
	}
	static void disp_que(ArrayDeque<Integer> dt){		//上手くいかなかった時用
		int a=0;
		while(dt.size()>0){
			a=dt.removeLast();
			System.out.print(a);
		}
		System.out.println("\n");
	}
	
	
	private static void nextPerm(ArrayList<Integer> former){
		int pivot=-1;
		int ln = former.size();
		for(int i = ln; i>1; i--){
			if(former.get(i-2) < former.get(i-1)){
				pivot = i-2;
				break;
			}
		}
		if(pivot==-1){
		former = null;
		return;
		}
		int pivot_fig = former.get(pivot);
		
		int min_pos=pivot+1;
		int min=former.get(min_pos);
		for(int i=ln-1; i > pivot+1; i--){
			if((former.get(i) < min)&&(former.get(i) > pivot_fig)){
				min_pos=i;
				min=former.get(min_pos);
			}
		}
		Collections.swap(former, pivot, min_pos);
		Collections.sort(former.subList(pivot+1, ln));
		return;
	}
	
	public static int binarySearch(int[] dt, int target){
		int left=0, right=dt.length-1;
		int mid=-1;
		while(left<=right){
			mid = (right+left)/2;
			if(dt[mid] == target) return mid;
			if(dt[mid] < target) left=mid+1;
			else right=mid-1;
		}
		return -1;
	}
	public static int binarySearchMax(long[] dt, long target){
		int left=-1, right=dt.length;
		int mid=-1;
		
		while((right-left)>1){
			mid = left + (right-left)/2;
			if(dt[mid] <= target) left=mid;
			else right=mid;
		}
		return left;//target以下の最大のaddress
	}
	
	
	static int dfs2(boolean[][] state, int x, int y, int depth){		//薄氷渡り
		int[] tmpltX = {1,-1,0,0};
		int[] tmpltY = {0,0,1,-1};
		int newX = -1, newY = -1;
		
		state[x][y] = false;
		depth++;
		
		int maxDunder_this_brunch = depth, tmpD=0;
		for(int i=0; i < 4; i++){
			newX = x+tmpltX[i];
			newY = y+tmpltY[i];
			if((newX >= 0) && (newY >= 0) && (newX < state.length) && (newY < state[0].length) && state[newX][newY]) tmpD = dfs2(state, newX, newY, depth);
			if(tmpD > maxDunder_this_brunch) maxDunder_this_brunch=tmpD;
		}
		state[x][y] = true;
		return maxDunder_this_brunch;
	}
}
 
class FastScanner {
	private final InputStream in = System.in;
	private final byte[] buffer = new byte[1024];
	private int ptr = 0;
	private int buflen = 0;
	private boolean hasNextByte() {
		if (ptr < buflen) {
			return true;
		}else{
			ptr = 0;
			try {
				buflen = in.read(buffer);
			} catch (IOException e) {
				e.printStackTrace();
			}
			if (buflen <= 0) {
				return false;
			}
		}
		return true;
	}
	
	private int readByte() { if (hasNextByte()) return buffer[ptr++]; else return -1;}
	private static boolean isPrintableChar(int c) { return 33 <= c && c <= 126;}
	public boolean hasNext() { while(hasNextByte() && !isPrintableChar(buffer[ptr])) ptr++; return hasNextByte();}
	public String next() {
		if (!hasNext()) throw new NoSuchElementException();
		StringBuilder sb = new StringBuilder();
		int b = readByte();
		while(isPrintableChar(b)) {
			sb.appendCodePoint(b);
			b = readByte();
		}
		return sb.toString();
	}
	public long nextLong() {
		if (!hasNext()) throw new NoSuchElementException();
		long n = 0;
		boolean minus = false;
		int b = readByte();
		if (b == '-') {
			minus = true;
			b = readByte();
		}
		if (b < '0' || '9' < b) {
			throw new NumberFormatException();
		}
		while(true){
			if ('0' <= b && b <= '9') {
				n *= 10;
				n += b - '0';
			}else if(b == -1 || !isPrintableChar(b)){
				return minus ? -n : n;
			}else{
				throw new NumberFormatException();
			}
			b = readByte();
		}
	}
	public int nextInt() {
		long nl = nextLong();
		if (nl < Integer.MIN_VALUE || nl > Integer.MAX_VALUE) throw new NumberFormatException();
		return (int) nl;
	}
	public double nextDouble() { return Double.parseDouble(next());}
}