You are given a directed acyclic graph with n vertices and m edges. There are no self-loops or multiple edges between any pair of vertices. Graph can be disconnected.

You should assign labels to all vertices in such a way that:

  * Labels form a valid permutation of length n — an integer sequence such that each integer from 1 to n appears exactly once in it. 
  * If there exists an edge from vertex v to vertex u then labelv should be smaller than labelu. 
  * Permutation should be lexicographically smallest among all suitable. 



Find such sequence of labels to satisfy all the conditions.

Input

The first line contains two integer numbers n, m (2 ≤ n ≤ 105, 1 ≤ m ≤ 105).

Next m lines contain two integer numbers v and u (1 ≤ v, u ≤ n, v ≠ u) — edges of the graph. Edges are directed, graph doesn't contain loops or multiple edges.

Output

Print n numbers — lexicographically smallest correct permutation of labels of vertices.

Examples

Input

3 3
1 2
1 3
3 2


Output

1 3 2 


Input

4 5
3 1
4 1
2 3
3 4
2 4


Output

4 1 2 3 


Input

5 4
3 1
2 1
2 3
4 5


Output

3 1 2 4 5 
import java.io.*;
import java.util.*;

public class Main {

    private static myScanner sc;
    private static PrintWriter pw;

    private static final boolean defaultInAndOutPut = true;

    private static final int numberOfTests = 1;

    private static final String nameOfInAndOutFile = "";
    private static final String fullNameInputFile = nameOfInAndOutFile + ".in";
    private static final String fullNameOutputFile = nameOfInAndOutFile + ".out";

    public static void main(String[] args) throws IOException {
        if (defaultInAndOutPut) {
            setDefaultInAndOutPut();
        } else {
            setInAndOutPutFromFile();
        }
        for (int test = 1; test <= numberOfTests; test++) {
            solve();
            pw.flush();
        }

        pw.close();
    }

    private static void setDefaultInAndOutPut() {
        sc = new myScanner(new BufferedReader(new InputStreamReader(System.in)));
        pw = new PrintWriter(System.out);
    }

    private static void setInAndOutPutFromFile() throws IOException {
        sc = new myScanner(new BufferedReader(new FileReader(new File(fullNameInputFile))));
        pw = new PrintWriter(new File(fullNameOutputFile));
    }

    private static final int intINF = Integer.MAX_VALUE;
    private static final long longINF = Long.MAX_VALUE;

    private static void solve() {
        int n = sc.nextInt(), m = sc.nextInt();
        ArrayList<Integer>[] arr= new ArrayList[n];
        ArrayList<Integer>[] backArr = new ArrayList[n];
        for (int i = 0; i < n; i++) {
            arr[i] = new ArrayList<>();
            backArr[i]=new ArrayList<>();
        }
        for (int i = 0; i < m; i++) {
            int x = sc.nextInt() - 1,y=sc.nextInt() - 1;
            arr[x].add(y);
            backArr[y].add(x);
        }

        int depth[] = new int[n];
        PriorityQueue<Integer> priorityQueue = new PriorityQueue<>();
        for (int i=0;i<n;i++){
            depth[i]=arr[i].size();
            if (depth[i]==0){
                priorityQueue.add(-i);
            }
        }
        int color = n;
        int[] ans = new int[n];
        while (!priorityQueue.isEmpty()){
            int ind = -priorityQueue.poll();
            ans[ind]=color--;
            for (int u:backArr[ind])if (--depth[u]==0)priorityQueue.add(-u);
        }
        for (int k:ans)pw.print(k+" ");
    }
}

class myScanner {
    private char[] buffer = new char[1 << 8];
    private int pos = 1;

    private BufferedReader reader;

    public myScanner(BufferedReader reader) {
        this.reader = reader;
    }

    public boolean hasNext() {
        return pos > 0;
    }

    private void loadBuffer() {
        pos = 0;
        try {
            for (int i; (i = reader.read()) != -1; ) {
                char c = (char) i;
                if (c != ' ' && c != '\n' && c != '\t' && c != '\r' && c != '\f') {
                    if (pos == buffer.length) buffer = Arrays.copyOf(buffer, 2 * pos);
                    buffer[pos++] = c;
                } else if (pos != 0) break;
            }
        } catch (IOException e) {
            throw new UncheckedIOException(e);
        }
    }

    public String current() {
        return String.copyValueOf(buffer, 0, pos);
    }


    public String next() {
        loadBuffer();
        return current();
    }


    public String nextLine() {
        try {
            return reader.readLine();
        } catch (IOException e) {
            throw new UncheckedIOException(e);
        }
    }


    public int nextInt() {
        return nextInt(10);
    }

    public long nextLong() {
        return nextLong(10);
    }

    public int nextInt(int radix) {
        loadBuffer();
        int result = 0;
        int i = buffer[0] == '-' || buffer[0] == '+' ? 1 : 0;
        for (checkValidNumber(pos > i); i < pos; i++) {
            int digit = buffer[i] - '0';
            checkValidNumber(0 <= digit && digit <= radix - 1);
            result = result * radix + digit;
        }
        return buffer[0] == '-' ? -result : result;
    }

    public long nextLong(int radix) {
        loadBuffer();
        long result = 0;
        int i = buffer[0] == '-' || buffer[0] == '+' ? 1 : 0;
        for (checkValidNumber(pos > i); i < pos; i++) {
            int digit = buffer[i] - '0';
            checkValidNumber(0 <= digit && digit <= radix - 1);
            result = result * radix + digit;
        }
        return buffer[0] == '-' ? -result : result;
    }

    public int[] nextArrayInts(int size) {
        int[] input = new int[size];
        for (int i = 0; i < size; i++) input[i] = nextInt();
        return input;
    }

    public long[] nextArrayLongs(int size) {
        long[] input = new long[size];
        for (int i = 0; i < size; i++) input[i] = nextLong();
        return input;
    }

    public double nextDouble() {
        loadBuffer();
        long result = 0;
        int i = buffer[0] == '-' || buffer[0] == '+' ? 1 : 0;
        long round = 1;
        final int radix = 10;
        boolean hasPoint = false;
        for (checkValidNumber(pos > i); i < pos; i++) {
            int digit = buffer[i] - '0';
            checkValidNumber((0 <= digit && digit <= radix - 1) || (!hasPoint && digit == -2));
            if (digit == -2) hasPoint = true;
            else {
                if (hasPoint) round *= radix;
                result = result * radix + digit;
            }

        }
        return buffer[0] == '-' ? -result / (1.0 * round) : result / (1.0 * round);
    }

    private void checkValidNumber(boolean condition) {
        if (!condition) throw new NumberFormatException(current());
    }
}