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 
from heapq import *

n, m = map(int, input().split())
g = [[] for _ in range(n + 1)]
out = [0] * (n + 1)
for _ in range(m):
	u, v = map(int, input().split())
	g[v].append(u)
	out[u] += 1

q = [-u for u in range(1, n + 1) if not out[u]]
heapify(q)
r = [0] * (n + 1)
c = n
while q:
	u = -heappop(q)
	r[u] = c
	c -= 1
	for v in g[u]:
		out[v] -= 1
		if not out[v]:
			heappush(q, -v)
print(*r[1:])