Problem: You are given an array a consisting of n integers. You can perform the following operations with it: 

  1. Choose some positions i and j (1 ≤ i, j ≤ n, i ≠ j), write the value of a_i ⋅ a_j into the j-th cell and remove the number from the i-th cell; 
  2. Choose some position i and remove the number from the i-th cell (this operation can be performed no more than once and at any point of time, not necessarily in the beginning). 



The number of elements decreases by one after each operation. However, the indexing of positions stays the same. Deleted numbers can't be used in the later operations.

Your task is to perform exactly n - 1 operations with the array in such a way that the only number that remains in the array is maximum possible. This number can be rather large, so instead of printing it you need to print any sequence of operations which leads to this maximum number. Read the output format to understand what exactly you need to print.

Input

The first line contains a single integer n (2 ≤ n ≤ 2 ⋅ 10^5) — the number of elements in the array.

The second line contains n integers a_1, a_2, ..., a_n (-10^9 ≤ a_i ≤ 10^9) — the elements of the array.

Output

Print n - 1 lines. The k-th line should contain one of the two possible operations.

The operation of the first type should look like this: 1~ i_k~ j_k, where 1 is the type of operation, i_k and j_k are the positions of the chosen elements.

The operation of the second type should look like this: 2~ i_k, where 2 is the type of operation, i_k is the position of the chosen element. Note that there should be no more than one such operation.

If there are multiple possible sequences of operations leading to the maximum number — print any of them.

Examples

Input

5
5 -2 0 1 -3


Output

2 3
1 1 2
1 2 4
1 4 5


Input

5
5 2 0 4 0


Output

1 3 5
2 5
1 1 2
1 2 4


Input

2
2 -1


Output

2 2


Input

4
0 -10 0 0


Output

1 1 2
1 2 3
1 3 4


Input

4
0 0 0 0


Output

1 1 2
1 2 3
1 3 4

Note

Let X be the removed number in the array. Let's take a look at all the examples:

The first example has, for example, the following sequence of transformations of the array: [5, -2, 0, 1, -3] → [5, -2, X, 1, -3] → [X, -10, X, 1, -3] → [X, X, X, -10, -3] → [X, X, X, X, 30]. Thus, the maximum answer is 30. Note, that other sequences that lead to the answer 30 are also correct.

The second example has, for example, the following sequence of transformations of the array: [5, 2, 0, 4, 0] → [5, 2, X, 4, 0] → [5, 2, X, 4, X] → [X, 10, X, 4, X] → [X, X, X, 40, X]. The following answer is also allowed: 
    
    
      
    1 5 3  
    1 4 2  
    1 2 1  
    2 3  
    

Then the sequence of transformations of the array will look like this: [5, 2, 0, 4, 0] → [5, 2, 0, 4, X] → [5, 8, 0, X, X] → [40, X, 0, X, X] → [40, X, X, X, X].

The third example can have the following sequence of transformations of the array: [2, -1] → [2, X].

The fourth example can have the following sequence of transformations of the array: [0, -10, 0, 0] → [X, 0, 0, 0] → [X, X, 0, 0] → [X, X, X, 0].

The fifth example can have the following sequence of transformations of the array: [0, 0, 0, 0] → [X, 0, 0, 0] → [X, X, 0, 0] → [X, X, X, 0].

Solution (in JAVA):

Solution:

// Author @ BlackRise :) //

import java.io.*;
import java.util.*;

public class productArray {
    static Calendar ts, te;                                                  //For time calculation
    static int mod9 = (int) 1e9 + 7;
    static InputReader input = new InputReader(System.in);
    static PrintWriter pw = new PrintWriter(System.out, true);


    public static void main(String[] args) {                                 //threading has been used to increase the stack size.

        new Thread(null, null, "BlackRise", (long) 1e9)                      //the last parameter is stack size which is desired, it is safe to chose 10^9 for all ques.
        {
            public void run() {

                try {
                    Blackrise();
                } catch (Exception e) {
                    e.printStackTrace();
                    System.exit(1);
                }
            }
        }.start();
    }

    static void Blackrise() {                                                //The name Blackrise is my pen name... you can change the name according to your wish

        tsc();                                                               //calculates the starting time of execution

        int n = ni();
        int ar[] = new int[n + 1];
        Three ans[] = new Three[n - 1];
        for(int i=0;i<n-1;i++)ans[i]=new Three();

        ArrayList<Integer> neg = new ArrayList<>();
        ArrayList<Integer> zero = new ArrayList<>();
        ArrayList<Integer> pos = new ArrayList<>();

        for (int i = 1; i <= n; i++) {
            ar[i] = ni();
            if (ar[i] < 0) neg.add(i);
            else if (ar[i] == 0) zero.add(i);
            else pos.add(i);
        }

        if (neg.size() % 2 == 0) {
                pos.addAll(neg);
            neg = new ArrayList<>();
        }

        else {
            int remneg = -1;
            int max = Integer.MIN_VALUE;
            for (int i : neg)
                if (ar[i] > max) {
                    max = ar[i];
                    remneg = i;
                }
            for (int i : neg)
                if (i != remneg) pos.add(i);
            neg = new ArrayList<>();
            neg.add(remneg);
        }

        int index = 0;
        if (zero.size() == 0 && neg.size() == 0) {
            int l = pos.size();
            for (int i = 0; i < l - 1; i++) {
                ans[index].x = 1;
                ans[index].y = pos.get(i);
                ans[index].z = pos.get(i + 1);
                index++;
            }
        }

        else if (neg.size() == 1 && zero.size() == 0) {
            ans[index].x = 2;
            ans[index].y = neg.get(0);
            index++;
            int l = pos.size();
            for (int i = 0; i < l - 1; i++) {
                ans[index].x = 1;
                ans[index].y = pos.get(i);
                ans[index].z = pos.get(i + 1);
                index++;
            }
        }

        else if (zero.size() > 0 && neg.size() == 0) {
            int l = zero.size();
            for (int i = 0; i < l - 1; i++) {
                ans[index].x = 1;
                ans[index].y = zero.get(i);
                ans[index].z = zero.get(i + 1);
                index++;
            }

            if (index < n - 1) {
                ans[index].x = 2;
                ans[index].y = zero.get(l - 1);
                index++;
            }

            l = pos.size();
            for (int i = 0; i < l - 1; i++) {
                ans[index].x = 1;
                ans[index].y = pos.get(i);
                ans[index].z = pos.get(i + 1);
                index++;
            }
        }

        else {
            zero.add(neg.get(0));
            int l = zero.size();
            for (int i = 0; i < l - 1; i++) {
                ans[index].x = 1;
                ans[index].y = zero.get(i);
                ans[index].z = zero.get(i + 1);
                index++;
            }

            if (index < n - 1) {
                ans[index].x = 2;
                ans[index].y = zero.get(l - 1);
                index++;
            }

            l = pos.size();
            for (int i = 0; i < l - 1; i++) {
                ans[index].x = 1;
                ans[index].y = pos.get(i);
                ans[index].z = pos.get(i + 1);
                index++;
            }
        }

        for (int i = 0; i < n - 1; i++) ans[i].print();
        pl();

        tec();                  //calculates the ending time of execution
        //pwt();                //prints the time taken to execute the program
    }

    static class Three {
        int x, y, z;

        Three() {
            x = 0;
            y = 0;
            z = 0;
        }

        public void print() {
            if (x == 1)
                pl(x + " " + y + " " + z);
            else pl(x + " " + y);
        }
    }


//////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////


    static class InputReader {                                              //InputReader class for fast input
        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 String nextLine() {
            BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
            String str = "";
            try {
                str = br.readLine();
            } catch (IOException e) {
                e.printStackTrace();
            }
            return str;
        }

        public int nextInt() {
            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 long nextLong() {
            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 double nextDouble() {
            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, nextInt());
                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, nextInt());
                    if (c < '0' || c > '9')
                        throw new InputMismatchException();
                    m /= 10;
                    res += (c - '0') * m;
                    c = read();
                }
            }
            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 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);
        }
    }

    // functions to take input//
    static int ni() {
        return input.nextInt();
    }

    static long nl() {
        return input.nextLong();
    }

    static double nd() {
        return input.nextDouble();
    }

    static String ns() {
        return input.readString();
    }

    //functions to give output
    static void pl() {
        pw.println();
    }

    static void p(Object o) {
        pw.print(o + " ");
    }

    static void pl(Object o) {
        pw.println(o);
    }

    static void tsc()                                          //calculates the starting time of execution
    {
        ts = Calendar.getInstance();
        ts.setTime(new Date());
    }

    static void tec()                                          //calculates the ending time of execution
    {
        te = Calendar.getInstance();
        te.setTime(new Date());
    }

    static void pwt()                                          //prints the time taken for execution
    {
        pw.printf("\nExecution time was :- %f s\n", (te.getTimeInMillis() - ts.getTimeInMillis()) / 1000.00);
    }
}