Problem: Student Vladislav came to his programming exam completely unprepared as usual. He got a question about some strange algorithm on a graph — something that will definitely never be useful in real life. He asked a girl sitting next to him to lend him some cheat papers for this questions and found there the following definition:

The minimum spanning tree T of graph G is such a tree that it contains all the vertices of the original graph G, and the sum of the weights of its edges is the minimum possible among all such trees.

Vladislav drew a graph with n vertices and m edges containing no loops and multiple edges. He found one of its minimum spanning trees and then wrote for each edge its weight and whether it is included in the found tree or not. Unfortunately, the piece of paper where the graph was painted is gone and the teacher is getting very angry and demands to see the original graph. Help Vladislav come up with a graph so that the information about the minimum spanning tree remains correct.

Input

The first line of the input contains two integers n and m (<image>) — the number of vertices and the number of edges in the graph.

Each of the next m lines describes an edge of the graph and consists of two integers aj and bj (1 ≤ aj ≤ 109, bj = {0, 1}). The first of these numbers is the weight of the edge and the second number is equal to 1 if this edge was included in the minimum spanning tree found by Vladislav, or 0 if it was not.

It is guaranteed that exactly n - 1 number {bj} are equal to one and exactly m - n + 1 of them are equal to zero.

Output

If Vladislav has made a mistake and such graph doesn't exist, print  - 1.

Otherwise print m lines. On the j-th line print a pair of vertices (uj, vj) (1 ≤ uj, vj ≤ n, uj ≠ vj), that should be connected by the j-th edge. The edges are numbered in the same order as in the input. The graph, determined by these edges, must be connected, contain no loops or multiple edges and its edges with bj = 1 must define the minimum spanning tree. In case there are multiple possible solutions, print any of them.

Examples

Input

4 5
2 1
3 1
4 0
1 1
5 0


Output

2 4
1 4
3 4
3 1
3 2


Input

3 3
1 0
2 1
3 1


Output

-1

Solution (in JAVA):

Solution:
import java.io.*;
import java.util.*;
public class b {
public static void main(String[] args) throws IOException {
    input.init(System.in);
    PrintWriter out = new PrintWriter(System.out);
    int n = input.nextInt(), m = input.nextInt();
    int[] cs = new int[m];
    boolean[] in = new boolean[m];
    for(int i = 0; i<m; i++)
    {
        cs[i] = input.nextInt();
        in[i] = input.nextInt() == 1;
    }
    ArrayList<Edge> inweight = new ArrayList<Edge>(), outweight = new ArrayList<Edge>();
    for(int i = 0; i<m; i++)
    {
        if(in[i])
            inweight.add(new Edge(cs[i], i));
        else
            outweight.add(new Edge(cs[i], i));
    }
    Collections.sort(inweight);
    Collections.sort(outweight);
    long[] csum = new long[n-1];
    csum[0] = inweight.get(0).c;
    for(int i = 1; i<n-1; i++) csum[i] = csum[i-1] + inweight.get(i).c;
    PriorityQueue<Range> pq = new PriorityQueue<Range>();
    for(int i = 0; i<n-2; i++)
    {
        pq.add(new Range(i, i+1, inweight.get(i+1).c));
    }
    boolean good = true;
    int[] as = new int[m], bs = new int[m];
    for(int i = 0; i<outweight.size(); i++)
    {
        Edge cur = outweight.get(i);
        Range r = pq.poll();
        if(r.s > cur.c)
        {
            good = false;
            break;
        }
        else
        {
            as[cur.i] = r.a+1;
            bs[cur.i] = r.b+2;
            if(r.b < n-2)
            {
                pq.add(new Range(r.a, r.b+1, inweight.get(r.b+1).c));
            }
        }
    }
    if(good)
    {
        for(int i = 0; i<n-1; i++)
        {
            int idx = inweight.get(i).i;
            as[idx] = i+1;
            bs[idx] = i+2;
        }
        for(int i = 0; i<m; i++)
            out.println(as[i]+" "+bs[i]);
    }
    else out.println(-1);
    
    out.close();
}
static class Edge implements Comparable<Edge>
{
    int c, i;
    public Edge(int cc, int ii)
    {
        c = cc; i = ii;
    }
    @Override
    public int compareTo(Edge o) {
    // TODO Auto-generated method stub
    return c - o.c;
    }
}
static class Range implements Comparable<Range>
{
    int a, b;
    long s;
    Range(int aa, int bb, long ss)
    {
        a = aa;b = bb; s = ss;
    }
    public int compareTo(Range o) {
    return Long.compare(s, o.s);
    }
}
public static class input {
    static BufferedReader reader;
    static StringTokenizer tokenizer;

    static void init(InputStream input) {
    reader = new BufferedReader(new InputStreamReader(input));
    tokenizer = new StringTokenizer("");
    }

    static String next() throws IOException {
    while (!tokenizer.hasMoreTokens())
        tokenizer = new StringTokenizer(reader.readLine());
    return tokenizer.nextToken();
    }

    static int nextInt() throws IOException {
    return Integer.parseInt(next());
    }

    static double nextDouble() throws IOException {
    return Double.parseDouble(next());
    }

    static long nextLong() throws IOException {
    return Long.parseLong(next());
    }
}
}