Problem: Kostya is a genial sculptor, he has an idea: to carve a marble sculpture in the shape of a sphere. Kostya has a friend Zahar who works at a career. Zahar knows about Kostya's idea and wants to present him a rectangular parallelepiped of marble from which he can carve the sphere. 

Zahar has n stones which are rectangular parallelepipeds. The edges sizes of the i-th of them are ai, bi and ci. He can take no more than two stones and present them to Kostya. 

If Zahar takes two stones, he should glue them together on one of the faces in order to get a new piece of rectangular parallelepiped of marble. Thus, it is possible to glue a pair of stones together if and only if two faces on which they are glued together match as rectangles. In such gluing it is allowed to rotate and flip the stones in any way. 

Help Zahar choose such a present so that Kostya can carve a sphere of the maximum possible volume and present it to Zahar.

Input

The first line contains the integer n (1 ≤ n ≤ 105).

n lines follow, in the i-th of which there are three integers ai, bi and ci (1 ≤ ai, bi, ci ≤ 109) — the lengths of edges of the i-th stone. Note, that two stones may have exactly the same sizes, but they still will be considered two different stones.

Output

In the first line print k (1 ≤ k ≤ 2) the number of stones which Zahar has chosen. In the second line print k distinct integers from 1 to n — the numbers of stones which Zahar needs to choose. Consider that stones are numbered from 1 to n in the order as they are given in the input data.

You can print the stones in arbitrary order. If there are several answers print any of them. 

Examples

Input

6
5 5 5
3 2 4
1 4 1
2 1 3
3 2 4
3 3 4


Output

1
1


Input

7
10 7 8
5 10 3
4 2 6
5 5 5
10 2 8
4 2 1
7 7 7


Output

2
1 5

Note

In the first example we can connect the pairs of stones:

  * 2 and 4, the size of the parallelepiped: 3 × 2 × 5, the radius of the inscribed sphere 1
  * 2 and 5, the size of the parallelepiped: 3 × 2 × 8 or 6 × 2 × 4 or 3 × 4 × 4, the radius of the inscribed sphere 1, or 1, or 1.5 respectively. 
  * 2 and 6, the size of the parallelepiped: 3 × 5 × 4, the radius of the inscribed sphere 1.5
  * 4 and 5, the size of the parallelepiped: 3 × 2 × 5, the radius of the inscribed sphere 1
  * 5 and 6, the size of the parallelepiped: 3 × 4 × 5, the radius of the inscribed sphere 1.5



Or take only one stone:

  * 1 the size of the parallelepiped: 5 × 5 × 5, the radius of the inscribed sphere 2.5
  * 2 the size of the parallelepiped: 3 × 2 × 4, the radius of the inscribed sphere 1
  * 3 the size of the parallelepiped: 1 × 4 × 1, the radius of the inscribed sphere 0.5
  * 4 the size of the parallelepiped: 2 × 1 × 3, the radius of the inscribed sphere 0.5
  * 5 the size of the parallelepiped: 3 × 2 × 4, the radius of the inscribed sphere 1
  * 6 the size of the parallelepiped: 3 × 3 × 4, the radius of the inscribed sphere 1.5



It is most profitable to take only the first stone. 

Solution (in JAVA):

Solution:


import java.io.*;
import java.util.*;
import java.text.*;
import java.math.*;
import java.util.regex.*;
import java.lang.*;


public class Fourth{
	static long mod=1000000007;
	
    public static void main(String[] args) throws Exception{           	
    	 InputReader in = new InputReader(System.in);       
    	PrintWriter pw=new PrintWriter(System.out);   
    	
    	
    	//int t=in.readInt();
        //while(t-->0)
        //{
    	
        int n=in.readInt();
    	//long n=in.readLong();
        long ans=0;
        int p1=-1,p2=-1;
        HashMap<Pair,Pair>hm=new HashMap<Pair,Pair>();
    	int x[]=new int[n];
    	int y[]=new int[n];
    	int z[]=new int[n];
    	for(int i=0;i<n;i++)
    	{
    		x[i]=in.readInt();
    		y[i]=in.readInt();
    		z[i]=in.readInt();
    		int min=min(x[i],y[i]);
    		min=min(min,z[i]);
    		if(ans<min)
    		{
    			ans=min;
    			p1=i;
    		}
    		Pair d=new Pair(x[i],y[i],0);
    		if(!hm.containsKey(d))
    		{
    			hm.put(d,new Pair(z[i],0,i));
    		}
    		else
    		{
    			Pair e=hm.get(d);
    			int v2=e.b;
    			int v1=e.a;
    			if(z[i]==v1)
    			{
    				if(v2==0)
    					hm.put(d,new Pair(z[i],1,i));
    			}
    			else if(z[i]>v1)
    			{
    				hm.put(d,new Pair(z[i],0,i));
    			}
    		}
    		d=new Pair(y[i],x[i],0);
    		if(!hm.containsKey(d))
    		{
    			hm.put(d,new Pair(z[i],0,i));
    		}
    		else
    		{
    			Pair e=hm.get(d);
    			int v2=e.b;
    			int v1=e.a;
    			int v3=e.c;
    			if(z[i]==v1)
    			{
    				if(v2==0&&v3!=i)
    					hm.put(d,new Pair(z[i],1,i));
    			}
    			else if(z[i]>v1)
    			{
    				hm.put(d,new Pair(z[i],0,i));
    			}
    		}
    		d=new Pair(y[i],z[i],0);
    		if(!hm.containsKey(d))
    		{
    			hm.put(d,new Pair(x[i],0,i));
    		}
    		else
    		{
    			Pair e=hm.get(d);
    			int v2=e.b;
    			int v1=e.a;
    			int v3=e.c;
    			if(x[i]==v1)
    			{
    				if(v2==0&&v3!=i)
    					hm.put(d,new Pair(x[i],1,i));
    			}
    			else if(x[i]>v1)
    			{
    				hm.put(d,new Pair(x[i],0,i));
    			}
    		}
    		d=new Pair(z[i],y[i],0);
    		if(!hm.containsKey(d))
    		{
    			hm.put(d,new Pair(x[i],0,i));
    		}
    		else
    		{
    			Pair e=hm.get(d);
    			int v2=e.b;
    			int v1=e.a;
    			int v3=e.c;
    			if(x[i]==v1)
    			{
    				if(v2==0&&v3!=i)
    					hm.put(d,new Pair(x[i],1,i));
    			}
    			else if(x[i]>v1)
    			{
    				hm.put(d,new Pair(x[i],0,i));
    			}
    		}
    		d=new Pair(x[i],z[i],0);
    		if(!hm.containsKey(d))
    		{
    			hm.put(d,new Pair(y[i],0,i));
    		}
    		else
    		{
    			Pair e=hm.get(d);
    			int v2=e.b;
    			int v1=e.a;
    			int v3=e.c;
    			if(y[i]==v1)
    			{
    				if(v2==0&&v3!=i)
    					hm.put(d,new Pair(y[i],1,i));
    			}
    			else if(y[i]>v1)
    			{
    				hm.put(d,new Pair(y[i],0,i));
    			}
    		}
    		d=new Pair(z[i],x[i],0);
    		if(!hm.containsKey(d))
    		{
    			hm.put(d,new Pair(y[i],0,i));
    		}
    		else
    		{
    			Pair e=hm.get(d);
    			int v2=e.b;
    			int v1=e.a;
    			int v3=e.c;
    			if(y[i]==v1)
    			{
    				if(v2==0&&v3!=i)
    					hm.put(d,new Pair(y[i],1,i));
    			}
    			else if(y[i]>v1)
    			{
    				hm.put(d,new Pair(y[i],0,i));
    			}
    		}
    	}
    	
    	
    	for(int i=0;i<n;i++)
    	{
    		int x1=x[i];
    		int y1=y[i];
    		int z1=z[i];
    		Pair d=new Pair(x[i],y[i],0);
    		int min=min(x[i],y[i]);
    		if(hm.containsKey(d))
    		{
    			Pair e=hm.get(d);
    			int v1=e.a;
    			int v2=e.b;
    			int v3=e.c;
    			if(v1==z[i])
    			{
    				if(v2==1)
    				{
    					min=min(min,z[i]+z[i]);
    					if(ans<min&&v3!=i)
    					{
    						ans=min;
    						p1=i;
    						p2=v3;
    					}
    				}
    				else
    				{
    					
    				}
    			}
    			else
    			{
    				min=min(min,z[i]+v1);
    				if(ans<min)
					{
						ans=min;
						p1=i;
						p2=v3;
					}
    			}
    		}
    		min=min(x[i],y[i]);
    		d=new Pair(y[i],x[i],0);
    		if(hm.containsKey(d))
    		{
    			//System.out.println("xc");
    			Pair e=hm.get(d);
    			int v1=e.a;
    			int v2=e.b;
    			int v3=e.c;
    			if(v1==z[i])
    			{
    				if(v2==1)
    				{
    					min=min(min,z[i]+z[i]);
    					if(ans<min&&v3!=i)
    					{
    						ans=min;
    						p1=i;
    						p2=v3;
    					}
    				}
    				else
    				{
    					
    				}
    			}
    			else
    			{
    				min=min(min,z[i]+v1);
    				if(ans<min)
					{
						ans=min;
						p1=i;
						p2=v3;
					}
    			}
    		}
    		Pair d1=new Pair(y[i],z[i],0);
    		int min1=min(y[i],z[i]);
    		if(hm.containsKey(d1))
    		{
    			Pair e=hm.get(d1);
    			int v1=e.a;
    			int v2=e.b;
    			int v3=e.c;
    			if(v1==x[i])
    			{
    				if(v2==1)
    				{
    					min1=min(min1,x[i]+x[i]);
    					if(ans<min1&&v3!=i)
    					{
    						ans=min1;
    						p1=i;
    						p2=v3;
    					}
    					
    				}
    				else
    				{
    					
    				}
    			}
    			else
    			{
    				min1=min(min1,x[i]+v1);
    				if(ans<min1)
					{
						ans=min1;
						p1=i;
						p2=v3;
					}
    				
    			}
    		}
    		d1=new Pair(z[i],y[i],0);
    		min1=min(y[i],z[i]);
    		if(hm.containsKey(d1))
    		{
    			Pair e=hm.get(d1);
    			int v1=e.a;
    			int v2=e.b;
    			int v3=e.c;
    			if(v1==x[i])
    			{
    				if(v2==1)
    				{
    					min1=min(min1,x[i]+x[i]);
    					if(ans<min1&&v3!=i)
    					{
    						ans=min1;
    						p1=i;
    						p2=v3;
    					}
    					
    				}
    				else
    				{
    					
    				}
    			}
    			else
    			{
    				min1=min(min1,x[i]+v1);
    				if(ans<min1)
					{
						ans=min1;
						p1=i;
						p2=v3;
					}
    				
    			}
    		}
    		
    		Pair d2=new Pair(z[i],x[i],0);
    		int min2=min(z[i],x[i]);
    		if(hm.containsKey(d2))
    		{
    			Pair e=hm.get(d2);
    			int v1=e.a;
    			int v2=e.b;
    			int v3=e.c;
    			if(v1==y[i])
    			{
    				if(v2==1)
    				{
    					min2=min(min2,y[i]+y[i]);
    					if(ans<min2&&v3!=i)
    					{
    						ans=min2;
    						p1=i;
    						p2=v3;
    					}
    				}
    				else
    				{
    					
    				}
    			}
    			else
    			{
    				min2=min(min2,y[i]+v1);
    				if(ans<min2)
					{
						ans=min2;
						p1=i;
						p2=v3;
					}
    			}
    		}
    		d2=new Pair(x[i],z[i],0);
    		min2=min(z[i],x[i]);
    		if(hm.containsKey(d2))
    		{
    			Pair e=hm.get(d2);
    			int v1=e.a;
    			int v2=e.b;
    			int v3=e.c;
    			if(v1==y[i])
    			{
    				if(v2==1)
    				{
    					min2=min(min2,y[i]+y[i]);
    					if(ans<min2&&v3!=i)
    					{
    						ans=min2;
    						p1=i;
    						p2=v3;
    					}
    				}
    				else
    				{
    					
    				}
    			}
    			else
    			{
    				min2=min(min2,y[i]+v1);
    				if(ans<min2)
					{
						ans=min2;
						p1=i;
						p2=v3;
					}
    			}
    		}
    	}
    	//String a=in.readString();
    
    	if(p2==-1)
    	{
    		p1++;
    		System.out.println(1);
    		System.out.println(p1);
    	}
    	else
    	{
    		p1++;
    		p2++;
    		System.out.println(2);
    		System.out.println(p1+" "+p2);
    	}
		//pw.println("");	     	
    	
    	//}
    	
    	pw.close();
    }
    

	
public static long gcd(long x,long y)
{
	if(x%y==0)
		return y;
	else
		return gcd(y,x%y);
}
public static int gcd(int x,int y)
{
	if(x%y==0)
		return y;
	else 
		return gcd(y,x%y);
}
public static int abs(int a,int b)
{
	return (int)Math.abs(a-b);
}
public static long abs(long a,long b)
{
	return (long)Math.abs(a-b);
}
public static int max(int a,int b)
{
	if(a>b)
		return a;
	else
		return b;
}
public static int min(int a,int b)
{
	if(a>b)
		return b;
	else 
		return a;
}
public static long max(long a,long b)
{
	if(a>b)
		return a;
	else
		return b;
}
public static long min(long a,long b)
{
	if(a>b)
		return b;
	else 
		return a;
}


public static long pow(long n,long p,long m)
{
	 long  result = 1;
	  if(p==0)
	    return 1;
	if (p==1)
	    return n;
	while(p!=0)
	{
	    if(p%2==1)
	        result *= n;
	    if(result>=m)
	    result%=m;
	    p >>=1;
	    n*=n;
	    if(n>=m)
	    n%=m;
	}
	return result;
}
public static long pow(long n,long p)
{
	long  result = 1;
	  if(p==0)
	    return 1;
	if (p==1)
	    return n;
	while(p!=0)
	{
	    if(p%2==1)
	        result *= n;	    
	    p >>=1;
	    n*=n;	    
	}
	return result;

}
static class Pair implements Comparable<Pair>
{
	int a,b,c;
	Pair (int a,int b,int c)
	{
		this.a=a;
		this.b=b;
		this.c=c;
	}

	public int compareTo(Pair o) {
		// TODO Auto-generated method stub
		if(this.a!=o.a)
		return Integer.compare(this.a,o.a);
		else
			return Integer.compare(this.b, o.b);
		//return 0;
	}
	public boolean equals(Object o) {
        if (o instanceof Pair) {
            Pair p = (Pair)o;
            return p.a == a && p.b == b &&p.c==c;
        }
        return false;
    }
    public int hashCode() {
        return new Integer(a).hashCode() * 31 + new Integer(b).hashCode()+new Integer(c).hashCode()*37;
    }
    
} 
    
static long sort(int a[])
{  int n=a.length;
	int b[]=new int[n];	
	return mergeSort(a,b,0,n-1);}
static long mergeSort(int a[],int b[],long left,long right)
{ long c=0;if(left<right)
 {   long mid=left+(right-left)/2;
	 c= mergeSort(a,b,left,mid);
	 c+=mergeSort(a,b,mid+1,right);
	 c+=merge(a,b,left,mid+1,right); }	
	return c;	 }
static long merge(int a[],int  b[],long left,long mid,long right)
{long c=0;int i=(int)left;int j=(int)mid; int k=(int)left;
while(i<=(int)mid-1&&j<=(int)right)
{ if(a[i]<=a[j]) {b[k++]=a[i++]; }
else	{ b[k++]=a[j++];c+=mid-i;}}
while (i <= (int)mid - 1)   b[k++] = a[i++]; 
while (j <= (int)right) b[k++] = a[j++];
for (i=(int)left; i <= (int)right; i++) 
	a[i] = b[i];  return c;  }
    
public static int[] radixSort(int[] f)
{
	int[] to = new int[f.length];
	{
		int[] b = new int[65537];
		for(int i = 0;i < f.length;i++)b[1+(f[i]&0xffff)]++;
		for(int i = 1;i <= 65536;i++)b[i]+=b[i-1];
		for(int i = 0;i < f.length;i++)to[b[f[i]&0xffff]++] = f[i];
		int[] d = f; f = to;to = d;
	}
	{
		int[] b = new int[65537];
		for(int i = 0;i < f.length;i++)b[1+(f[i]>>>16)]++;
		for(int i = 1;i <= 65536;i++)b[i]+=b[i-1];
		for(int i = 0;i < f.length;i++)to[b[f[i]>>>16]++] = f[i];
		int[] d = f; f = to;to = d;
	}
	return f;
}    
static  class InputReader
{
    private InputStream stream;
    private byte[] buf = new byte[1024];
    private int curChar;
    private int numChars;
    private SpaceCharFilter filter;

    public InputReader(InputStream stream)
    {
        this.stream = stream;
    }

    public int read()
    {
        if (numChars == -1)
            throw new InputMismatchException();
        if (curChar >= numChars)
        {
            curChar = 0;
            try
            {
                numChars = stream.read(buf);
            } catch (IOException e)
            {
                throw new InputMismatchException();
            }
            if (numChars <= 0)
                return -1;
        }
        return buf[curChar++];
    }

    public int readInt()
    {
        int c = read();
        while (isSpaceChar(c))
            c = read();
        int sgn = 1;
        if (c == '-')
        {
            sgn = -1;
            c = read();
        }
        int res = 0;
        do
        {
            if (c < '0' || c > '9')
                throw new InputMismatchException();
            res *= 10;
            res += c - '0';
            c = read();
        } while (!isSpaceChar(c));
        return res * sgn;
    }

    public String readString()
    {
        int c = read();
        while (isSpaceChar(c))
            c = read();
        StringBuilder res = new StringBuilder();
        do
        {
            res.appendCodePoint(c);
            c = read();
        } while (!isSpaceChar(c));
        return res.toString();
    }
    public String readLine() {
        int c = read();
        while (isSpaceChar(c))
            c = read();
        StringBuilder res = new StringBuilder();
        do {
            res.appendCodePoint(c);
            c = read();
        } while (!isEndOfLine(c));
        return res.toString();
    }
    

    public double readDouble() {
        int c = read();
        while (isSpaceChar(c))
            c = read();
        int sgn = 1;
        if (c == '-') {
            sgn = -1;
            c = read();
        }
        double res = 0;
        while (!isSpaceChar(c) && c != '.') {
            if (c == 'e' || c == 'E')
                return res * Math.pow(10, readInt());
            if (c < '0' || c > '9')
                throw new InputMismatchException();
            res *= 10;
            res += c - '0';
            c = read();
        }
        if (c == '.') {
            c = read();
            double m = 1;
            while (!isSpaceChar(c)) {
                if (c == 'e' || c == 'E')
                    return res * Math.pow(10, readInt());
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                m /= 10;
                res += (c - '0') * m;
                c = read();
            }
        }
        return res * sgn;
    }
    public long readLong() {
        int c = read();
        while (isSpaceChar(c))
            c = read();
        int sgn = 1;
        if (c == '-') {
            sgn = -1;
            c = read();
        }
        long res = 0;
        do {
            if (c < '0' || c > '9')
                throw new InputMismatchException();
            res *= 10;
            res += c - '0';
            c = read();
        } while (!isSpaceChar(c));
        return res * sgn;
    }
    public boolean isSpaceChar(int c)
    {
        if (filter != null)
            return filter.isSpaceChar(c);
        return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
    }

    public String next()
    {
        return readString();
    }

    public interface SpaceCharFilter
    {
        public boolean isSpaceChar(int ch);
    }
    public boolean isEndOfLine(int c) {
        return c == '\n' || c == '\r' || c == -1;
    }
}

  
//BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
	//StringBuilder sb=new StringBuilder("");
	 //InputReader in = new InputReader(System.in);
	//PrintWriter pw=new PrintWriter(System.out);
	//String line=br.readLine().trim();
	       	
	//int t=Integer.parseInt(br.readLine());
  //	while(t-->0)
  	//{
  	//int n=Integer.parseInt(br.readLine());
	//long n=Long.parseLong(br.readLine());
	//String l[]=br.readLine().split(" ");
  //int m=Integer.parseInt(l[0]);
	//int k=Integer.parseInt(l[1]);
	//String l[]=br.readLine().split(" ");
	//l=br.readLine().split(" ");
	/*int a[]=new int[n];
	for(int i=0;i<n;i++)
	{
		a[i]=Integer.parseInt(l[i]);
	}*/
	   //System.out.println(" ");	     	
	
	//}
}