Mail_Delivery.py

from heapq import *
from collections import *
import os
import sys
sys.setrecursionlimit(1<<30)
from io import BytesIO, IOBase
import math
import bisect
from math import inf
 



 
ins = lambda: [int(x) for x in input()]
inp = lambda: int(input())
inps = lambda: [int(x) for x in input().split()]
 
from fractions import Fraction as F
def main():
    
    res=[1]
    def dfs(u,vert1,vert2,vis,dc):
        while len(dc[u]):
            edg=dc[u].pop()
            if vis[edg]:
                continue
            vis[edg]=1
            dfs(vert1[edg]^vert2[edg]^u,vert1,vert2,vis,dc)
            res.append(u)


    n,m=inps()
    dc=defaultdict(list)
    dc2=defaultdict(list)
    
    vert1=[]
    vert2=[]
    

    for i in range(m):
        a,b=inps()
        vert1.append(a)
        vert2.append(b)
        dc[a].append(i)
        dc[b].append(i)

        #c[a].append(b)
        #dc2[b].append(a)
    for i in range(1,n+1):
        #print(len(dc[i]))
        if len(dc[i])&1:
            print("IMPOSSIBLE")
            return

    vis=[0]*(m+1)
    dfs(1,vert1,vert2,vis,dc)
    if len(res)^m+1:
        print("IMPOSSIBLE")
        return

    for nm in res:
        print(nm,end=" ")
    print("")

BUFSIZE = 8192
class FastIO(IOBase):
    newlines = 0
 
    def __init__(self, file):
        self._fd = file.fileno()
        self.buffer = BytesIO()
        self.writable = "x" in file.mode or "r" not in file.mode
        self.write = self.buffer.write if self.writable else None
 
    def read(self):
        while True:
            b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
            if not b:
                break
            ptr = self.buffer.tell()
            self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
        self.newlines = 0
        return self.buffer.read()
 
    def readline(self):
        while self.newlines == 0:
            b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
            self.newlines = b.count(b"\n") + (not b)
            ptr = self.buffer.tell()
            self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
        self.newlines -= 1
        return self.buffer.readline()
 
    def flush(self):
        if self.writable:
            os.write(self._fd, self.buffer.getvalue())
            self.buffer.truncate(0), self.buffer.seek(0)
 
 
class IOWrapper(IOBase):
    def __init__(self, file):
        self.buffer = FastIO(file)
        self.flush = self.buffer.flush
        self.writable = self.buffer.writable
        self.write = lambda s: self.buffer.write(s.encode("ascii"))
        self.read = lambda: self.buffer.read().decode("ascii")
        self.readline = lambda: self.buffer.readline().decode("ascii")
 
 
sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)
input = lambda: sys.stdin.readline().rstrip("\r\n")
 
# endregion
 
if __name__ == "__main__":
    main()
# import threading,sys
# sys.setrecursionlimit(1000000)
# threading.stack_size(1024000)
# thread=threading.Thread(target=main)
# thread.start()