Problem: Little Janet likes playing with cubes. Actually, she likes to play with anything whatsoever, cubes or tesseracts, as long as they are multicolored. Each cube is described by two parameters — color ci and size si. A Zebra Tower is a tower that consists of cubes of exactly two colors. Besides, the colors of the cubes in the tower must alternate (colors of adjacent cubes must differ). The Zebra Tower should have at least two cubes. There are no other limitations. The figure below shows an example of a Zebra Tower.

<image>

A Zebra Tower's height is the sum of sizes of all cubes that form the tower. Help little Janet build the Zebra Tower of the maximum possible height, using the available cubes.

Input

The first line contains an integer n (2 ≤ n ≤ 105) — the number of cubes. Next n lines contain the descriptions of the cubes, one description per line. A cube description consists of two space-separated integers ci and si (1 ≤ ci, si ≤ 109) — the i-th cube's color and size, correspondingly. It is guaranteed that there are at least two cubes of different colors.

Output

Print the description of the Zebra Tower of the maximum height in the following form. In the first line print the tower's height, in the second line print the number of cubes that form the tower, and in the third line print the space-separated indices of cubes in the order in which they follow in the tower from the bottom to the top. Assume that the cubes are numbered from 1 to n in the order in which they were given in the input.

If there are several existing Zebra Towers with maximum heights, it is allowed to print any of them. 

Please do not use the %lld specificator to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specificator.

Examples

Input

4
1 2
1 3
2 4
3 3


Output

9
3
2 3 1 


Input

2
1 1
2 1


Output

2
2
2 1 

Solution (in JAVA):

Solution:
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.lang.reflect.Constructor;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.HashMap;
import java.util.StringTokenizer;
import java.util.TreeSet;

public class CodeG 
{
	static class Scanner
	{
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		StringTokenizer st = new StringTokenizer("");
		
		public String nextLine()
		{
			try
			{
				return br.readLine();
			}
			catch(Exception e)
			{
				throw(new RuntimeException());
			}
		}
		
		public String next()
		{
			while(!st.hasMoreTokens())
			{
				String l = nextLine();
				if(l == null)
					return null;
				st = new StringTokenizer(l);
			}
			return st.nextToken();
		}
		
		public int nextInt()
		{
			return Integer.parseInt(next());
		}
		
		public long nextLong()
		{
			return Long.parseLong(next());
		}
		
		public double nextDouble()
		{
			return Double.parseDouble(next());
		}
		
		public int[] nextIntArray(int n)
		{
			int[] res = new int[n];
			for(int i = 0; i < res.length; i++)
				res[i] = nextInt();
			return res;
		}
		
		public long[] nextLongArray(int n)
		{
			long[] res = new long[n];
			for(int i = 0; i < res.length; i++)
				res[i] = nextLong();
			return res;
		}
		
		public double[] nextDoubleArray(int n)
		{
			double[] res = new double[n];
			for(int i = 0; i < res.length; i++)
				res[i] = nextDouble();
			return res;
		}
		public void sortIntArray(int[] array)
		{
			Integer[] vals = new Integer[array.length];
			for(int i = 0; i < array.length; i++)
				vals[i] = array[i];
			Arrays.sort(vals);
			for(int i = 0; i < array.length; i++)
				array[i] = vals[i];
		}
		
		public void sortLongArray(long[] array)
		{
			Long[] vals = new Long[array.length];
			for(int i = 0; i < array.length; i++)
				vals[i] = array[i];
			Arrays.sort(vals);
			for(int i = 0; i < array.length; i++)
				array[i] = vals[i];
		}
		
		public void sortDoubleArray(double[] array)
		{
			Double[] vals = new Double[array.length];
			for(int i = 0; i < array.length; i++)
				vals[i] = array[i];
			Arrays.sort(vals);
			for(int i = 0; i < array.length; i++)
				array[i] = vals[i];
		}

		public String[] nextStringArray(int n) 
		{	
			String[] vals = new String[n];
			for(int i = 0; i < n; i++)
				vals[i] = next();
			return vals;
		}
		
		public Integer nextInteger()
		{
			String s = next();
			if(s == null)
				return null;
			return Integer.parseInt(s);
		}
		
		public int[][] nextIntMatrix(int n, int m)
		{
			int[][] ans = new int[n][];
			for(int i = 0; i < n; i++)
				ans[i] = nextIntArray(m);
			return ans;
		}
		
		public char[][] nextGrid(int r, int c) 
		{
			char[][] grid = new char[r][];
			for(int i = 0; i < r; i++)
				grid[i] = next().toCharArray();
			return grid;
		}
		
		public static <T> T fill(T arreglo, int val)
		{
			if(arreglo instanceof Object[])
			{
				Object[] a = (Object[]) arreglo;
				for(Object x : a)
					fill(x, val);
			}
			else if(arreglo instanceof int[])
				Arrays.fill((int[]) arreglo, val);
			else if(arreglo instanceof double[])
				Arrays.fill((double[]) arreglo, val);
			else if(arreglo instanceof long[])
				Arrays.fill((long[]) arreglo, val);
			return arreglo;
		}
		
		<T> T[] nextObjectArray(Class <T> clazz, int size)
		{
			@SuppressWarnings("unchecked")
			T[] result = (T[]) java.lang.reflect.Array.newInstance(clazz, size);
			for(int c = 0; c < 3; c++)
			{
				Constructor <T> constructor;
				try 
				{
					if(c == 0)
						constructor = clazz.getDeclaredConstructor(Scanner.class, Integer.TYPE);
					else if(c == 1)
						constructor = clazz.getDeclaredConstructor(Scanner.class);
					else
						constructor = clazz.getDeclaredConstructor();
				} 
				catch(Exception e)
				{
					continue;
				}
				try
				{
					for(int i = 0; i < result.length; i++)
					{
						if(c == 0)
							result[i] = constructor.newInstance(this, i);
						else if(c == 1)
							result[i] = constructor.newInstance(this);
						else
							result[i] = constructor.newInstance();	
					}
				}
				catch(Exception e)
				{
					throw new RuntimeException(e);
				}
				return result;
			}
			throw new RuntimeException("Constructor not found");
		}
		
		public void printLine(int... vals)
		{
			if(vals.length == 0)
				System.out.println();
			else
			{
				System.out.print(vals[0]);
				for(int i = 1; i < vals.length; i++)
					System.out.print(" ".concat(String.valueOf(vals[i])));
				System.out.println();
			}
		}
		
		public void printLine(long... vals)
		{
			if(vals.length == 0)
				System.out.println();
			else
			{
				System.out.print(vals[0]);
				for(int i = 1; i < vals.length; i++)
					System.out.print(" ".concat(String.valueOf(vals[i])));
				System.out.println();
			}
		}
		
		public void printLine(double... vals)
		{
			if(vals.length == 0)
				System.out.println();
			else
			{
				System.out.print(vals[0]);
				for(int i = 1; i < vals.length; i++)
					System.out.print(" ".concat(String.valueOf(vals[i])));
				System.out.println();
			}
		}
		
		public void printLine(int prec, double... vals)
		{
			if(vals.length == 0)
				System.out.println();
			else
			{
				System.out.printf("%." + prec + "f", vals[0]);
				for(int i = 1; i < vals.length; i++)
					System.out.printf(" %." + prec + "f", vals[i]);
				System.out.println();
			}
		}
	}
	
	
	static class Value implements Comparable <Value>
	{
		int val;
		int id;
		
		Value(int v, int i)
		{
			val = v;
			id = i;
		}

		@Override
		public int compareTo(Value o) 
		{
			return val - o.val;
		}
	}
	
	static class Color
	{
		ArrayList <Value> cubes = new ArrayList <Value> ();
		int id;
		
		Color(int i)
		{
			id = i;
		}
	}
	
	static class Entry implements Comparable <Entry>
	{
		long count;
		int id;
		
		public Entry(int i, long suma) 
		{
			id = i;
			count = suma;
		}

		@Override
		public int compareTo(Entry o) 
		{
			if(count == o.count)
				return id - o.id;
			return Long.valueOf(o.count).compareTo(count);
		}
	}
	
	static HashMap < Integer, TreeSet <Entry> > entryMap = new HashMap < Integer, TreeSet <Entry> > ();
	static HashMap <Integer, Color> colors = new HashMap <Integer, Color> ();
		
	static Color getColor(int id)
	{
		if(!colors.containsKey(id))
			colors.put(id, new Color(id));
		return colors.get(id);
	}
	
	static TreeSet <Entry> getEntrySet(int id)
	{
		if(!entryMap.containsKey(id))
			entryMap.put(id, new TreeSet <Entry> ());
		return entryMap.get(id);
	}
	
	static long getDifferent(TreeSet <Entry> set, int id)
	{
		for(Entry e : set)
			if(e.id != id)
				return e.count;
		return -1;
	}
	
	static Entry getDifferentEntry(TreeSet <Entry> set, int id)
	{
		for(Entry e : set)
			if(e.id != id)
				return e;
		return null;
	}
	
	public static void main(String[] args)
	{
		Scanner sc = new Scanner();
		int n = sc.nextInt();
		int id = 1;
		for(int[] c : sc.nextIntMatrix(n, 2))
			getColor(c[0]).cubes.add(new Value(c[1], id++));
		for(Color c : colors.values())
			Collections.sort(c.cubes, Collections.reverseOrder());
		for(Color c : colors.values())
		{
			int total = 0;
			long suma = 0;
			getEntrySet(0).add(new Entry(c.id, suma));
			for(Value v : c.cubes)
			{
				int i = v.val;
				suma += i;
				total++;
				getEntrySet(total).add(new Entry(c.id, suma));
			}
		}
		long best = 0;
		int bestAns1 = -1;
		int bestAns2 = 0;
		int bestAns3 = 0;
		int total = entryMap.size();
		for(int i = 0; i < total; i++)
		{
			for(Entry e : entryMap.get(i))
			{
				long possible = getDifferent(getEntrySet(i - 1), e.id);
				if(possible != -1)
				{
					if(e.count + possible > best)
					{
						best = e.count + possible;
						bestAns1 = e.id;
						bestAns2 = i;
						bestAns3 = i - 1;
					}
				}
				possible = getDifferent(getEntrySet(i), e.id);
				if(possible != -1)
				{
					if(e.count + possible > best)
					{
						best = e.count + possible;
						bestAns1 = e.id;
						bestAns2 = i;
						bestAns3 = i;
					}
				}
				possible = getDifferent(getEntrySet(i + 1), e.id);
				if(possible != -1)
				{
					if(e.count + possible > best)
					{
						best = e.count + possible;
						bestAns1 = e.id;
						bestAns2 = i;
						bestAns3 = i + 1;
					}
				}
			}
		}
		String bestAns = (bestAns2 + bestAns3) + "";
		if(bestAns2 + bestAns3 != 0)
		{
			bestAns = generateAns(bestAns1, bestAns2, bestAns3);
		}
		System.out.println(best);
		System.out.println(bestAns);
	}

	private static String generateAns(int id, int i, int j) 
	{
		int otherId = getDifferentEntry(entryMap.get(j), id).id;
		String ans = (i + j) + "\n";
		StringBuilder sb = new StringBuilder();
		boolean anterior = i < j ? false : true;
		int countI = 0;
		int countJ = 0;
		int total = i + j;
		while(total > 0)
		{
			if(anterior)
				sb.append(' ').append(colors.get(id).cubes.get(countI++).id);
			else
				sb.append(' ').append(colors.get(otherId).cubes.get(countJ++).id);
			total--;
			anterior = !anterior;
		}
		return ans + sb.toString().trim();
	}
}