Problem: Little Chris is participating in a graph cutting contest. He's a pro. The time has come to test his skills to the fullest.

Chris is given a simple undirected connected graph with n vertices (numbered from 1 to n) and m edges. The problem is to cut it into edge-distinct paths of length 2. Formally, Chris has to partition all edges of the graph into pairs in such a way that the edges in a single pair are adjacent and each edge must be contained in exactly one pair.

For example, the figure shows a way Chris can cut a graph. The first sample test contains the description of this graph.

<image>

You are given a chance to compete with Chris. Find a way to cut the given graph or determine that it is impossible!

Input

The first line of input contains two space-separated integers n and m (1 ≤ n, m ≤ 105), the number of vertices and the number of edges in the graph. The next m lines contain the description of the graph's edges. The i-th line contains two space-separated integers ai and bi (1 ≤ ai, bi ≤ n; ai ≠ bi), the numbers of the vertices connected by the i-th edge. It is guaranteed that the given graph is simple (without self-loops and multi-edges) and connected.

Note: since the size of the input and output could be very large, don't use slow output techniques in your language. For example, do not use input and output streams (cin, cout) in C++.

Output

If it is possible to cut the given graph into edge-distinct paths of length 2, output <image> lines. In the i-th line print three space-separated integers xi, yi and zi, the description of the i-th path. The graph should contain this path, i.e., the graph should contain edges (xi, yi) and (yi, zi). Each edge should appear in exactly one path of length 2. If there are multiple solutions, output any of them.

If it is impossible to cut the given graph, print "No solution" (without quotes).

Examples

Input

8 12
1 2
2 3
3 4
4 1
1 3
2 4
3 5
3 6
5 6
6 7
6 8
7 8


Output

1 2 4
1 3 2
1 4 3
5 3 6
5 6 8
6 7 8

Input

3 3
1 2
2 3
3 1


Output

No solution


Input

3 2
1 2
2 3


Output

1 2 3

Solution (in JAVA):

Solution:
import java.io.*;
import java.util.*;
public class Main
{
	int n,m;
	ArrayList<Edge> list[],in[];
	boolean visited[];
	private void solve()throws Exception
	{
		n=nextInt();
		m=nextInt();
		list=new ArrayList[n+1];
		for(int i=1;i<=n;i++)
			list[i]=new ArrayList<>();

		for(int i=1;i<=m;i++)
		{
			int u=nextInt();
			int v=nextInt();
			Edge e=new Edge(u,v);
			list[u].add(e);
			list[v].add(e);
		}

		if(m%2!=0)
		{
			out.println("No solution");
			return;
		}

		in=new ArrayList[n+1];
		for(int i=1;i<=n;i++)
			in[i]=new ArrayList<>();

		visited=new boolean[n+1];
		dfs(1,null);

		for(int i=1;i<=n;i++)
			for(int j=0;j+1<in[i].size();j+=2)
			{
				Edge first=in[i].get(j);
				Edge second=in[i].get(j+1);
				int x=first.src==i?first.dest:first.src;
				int y=second.src==i?second.dest:second.src;
				out.println(x+" "+i+" "+y);
			}
	}
	int dfs(int v,Edge p)
	{
		visited[v]=true;
		int deg=0;

		for(Edge e:list[v])
		{
			int next=v^e.src^e.dest;
			if(!visited[next])
				deg+=dfs(next,e);
		}
		for(Edge e:list[v])
			if(!e.used && e!=p)
			{
				e.used=true;
				in[v].add(e);
				deg++;
			}
		if(p==null)
			return 0;
		p.used=true;
		int par=v^p.src^p.dest;
		in[deg%2==0?par:v].add(p);
		return 1-deg%2;
	}
	class Edge
	{
		int src,dest;
		boolean used;
		Edge(int u,int v)
		{
			src=u;
			dest=v;
			used=false;
		}
	}
	 
	///////////////////////////////////////////////////////////

	public void run()throws Exception
	{
		br=new BufferedReader(new InputStreamReader(System.in));
		st=null;
		out=new PrintWriter(System.out);

		solve();
		
		br.close();
		out.close();
	}
	public static void main(String args[])throws Exception{
		new Main().run();
	}
	BufferedReader br;
	StringTokenizer st;
	PrintWriter out;
	String nextToken()throws Exception{
		while(st==null || !st.hasMoreTokens())
		st=new StringTokenizer(br.readLine());
		return st.nextToken();
	}
	String nextLine()throws Exception{
		return br.readLine();
	}
	int nextInt()throws Exception{
		return Integer.parseInt(nextToken());
	}
	long nextLong()throws Exception{
		return Long.parseLong(nextToken());
	}
	double nextDouble()throws Exception{
		return Double.parseDouble(nextToken());
	}
}