Vasya owns a cornfield which can be defined with two integers n and d. The cornfield can be represented as rectangle with vertices having Cartesian coordinates (0, d), (d, 0), (n, n - d) and (n - d, n).

<image> An example of a cornfield with n = 7 and d = 2.

Vasya also knows that there are m grasshoppers near the field (maybe even inside it). The i-th grasshopper is at the point (x_i, y_i). Vasya does not like when grasshoppers eat his corn, so for each grasshopper he wants to know whether its position is inside the cornfield (including the border) or outside.

Help Vasya! For each grasshopper determine if it is inside the field (including the border).

Input

The first line contains two integers n and d (1 ≤ d < n ≤ 100).

The second line contains a single integer m (1 ≤ m ≤ 100) — the number of grasshoppers.

The i-th of the next m lines contains two integers x_i and y_i (0 ≤ x_i, y_i ≤ n) — position of the i-th grasshopper.

Output

Print m lines. The i-th line should contain "YES" if the position of the i-th grasshopper lies inside or on the border of the cornfield. Otherwise the i-th line should contain "NO".

You can print each letter in any case (upper or lower).

Examples

Input

7 2
4
2 4
4 1
6 3
4 5


Output

YES
NO
NO
YES


Input

8 7
4
4 4
2 8
8 1
6 1


Output

YES
NO
YES
YES

Note

The cornfield from the first example is pictured above. Grasshoppers with indices 1 (coordinates (2, 4)) and 4 (coordinates (4, 5)) are inside the cornfield.

The cornfield from the second example is pictured below. Grasshoppers with indices 1 (coordinates (4, 4)), 3 (coordinates (8, 1)) and 4 (coordinates (6, 1)) are inside the cornfield. 

<image>
import java.util.*;
import java.math.*;
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.StringTokenizer;

     //--------------->>>>IF YOU ARE HERE FOR QUICKSORT HACK THEN SORRY NO HACK FOR YOU<<<-------------------

public class a{ 
     static int[] count,count1,count2;
     static Node[] nodes;
     static int[] arr;
     static char[] ch,ch1;
     static int[] darr,farr;
     static Character[][] mat,mat1;
     static long x,h;
     static long maxl;
     static double dec;
     static String s;
     static long minl;
     static int mx = (int)1e9+5;
     static long mod = 998244353l;
     // static int minl = -1;
     // static long n;
     static int n,n1,n2;
     static long a;
     static long b;
     static long c;
     static long d;
     static long y,z;
     static int m;
     static long k;
     static String[] str,str1;
     static Set<Long> set,set1,set2;
     static List<Integer> list1,list2,list3;
     static LinkedList<Character> ll;
     static Map<String,String> map;
     static StringBuilder sb,sb1,sb2;
     static int[] dx = {0,-1,0,1};
     static int[] dy = {-1,0,1,0};

     public static void solve(){

        FastScanner sc = new FastScanner();

        int n = sc.nextInt();
        int d = sc.nextInt();
        int m = sc.nextInt();

        for(int i = 0 ; i < m ; i++){

            int x = sc.nextInt();
            int y = sc.nextInt();

            if(y >= (-x+d) && y <= (-x + (2*n-d))){
                if(y <= (x+d) && y >= (x-d)){
                    System.out.println("YES");
                    continue;
                }
            }

            System.out.println("NO");

        }

        
     }

     //--------------->>>>IF YOU ARE HERE FOR QUICKSORT HACK THEN SORRY NO HACK FOR YOU<<<-------------------

     // public static void solve(){



     // }

     public static void main(String[] args) {

            FastScanner sc = new FastScanner();
            // Scanner sc = new Scanner(System.in);
            // int t = sc.nextInt();
            int t = 1;
            // int l = 1;
            while(t > 0){
                
                // n = sc.nextInt();
                // n = sc.nextLong();
                // a = sc.nextLong();
                // b = sc.nextLong();
                // c = sc.nextLong();
                // d = sc.nextLong();

                // x = sc.nextLong();
                // y = sc.nextLong();
                
                // n = sc.nextLong();
                // n = sc.nextInt();
                // n1 = sc.nextInt();

                // m = sc.nextInt();

                // k = sc.nextLong();
                // s = sc.next();

                // ch = sc.next().toCharArray();
                // ch1 = sc.next().toCharArray();

                // arr = new int[n];
                // for(int i = 0 ; i < n ; i++){
                //     arr[i] = sc.nextInt();
                // }
                // m = n;
                // darr = new int[m];
                // for(int i = 0; i < m ; i++){
                //     darr[i] = sc.nextInt();
                // }

                // farr = new int[n];
                // for(int i = 0; i < n ; i++){
                //     farr[i] = sc.nextInt();
                // }

                // mat = new Character[n][m];
                // for(int i = 0 ; i < n ; i++){
                //     String s = sc.next();
                //     for(int j = 0 ; j < m ; j++){
                //         mat[i][j] = s.charAt(j);
                //     }
                // }
                // str = new String[n];
                // for(int i = 0 ; i < n ; i++)
                //     str[i] = sc.next();

                // nodes = new Node[n];
                // for(int i = 0 ; i < n ;i++)
                //     nodes[i] = new Node(sc.nextInt(),sc.nextInt());

                // System.out.println(solve()?"YES":"NO");
                 solve();       
                 // System.out.println(solve());
                 t -= 1;
            }

     }

    public static int log(long n){

         if(n == 0 || n == 1)
             return 0;

         if(n == 2)
             return 1;

         double num = Math.log(n);
         double den = Math.log(2);

         if(den == 0)
             return 0;

         return (int)(num/den);
     }

    public static boolean isPrime(long n) { 
    // Corner cases 
        if (n <= 1)  
            return false; 

        if (n <= 3)  
            return true; 
      
        // This is checked so that we can skip  
        // middle five numbers in below loop 
        if (n%2 == 0 || n%3 == 0) 
            return false; 
      
        for (int i=5; i*i<=n; i=i+6) 
            if (n%i == 0 || n%(i+2) == 0) 
               return false; 
      
        return true; 
    } 

     public static long gcd(long a,long b){

        if(b%a == 0){
            return a;
        }
        return gcd(b%a,a);

     }

     // public static void swap(int i,int j){
     //     long temp = arr[j];
     //     arr[j] = arr[i];
     //     arr[i] = temp;
     // } 

    static final Random random=new Random();
    
    static void ruffleSort(long[] a) {
        int n=a.length;//shuffle, then sort 
        for (int i=0; i<n; i++) {
            int oi=random.nextInt(n);
            long temp=a[oi];
            a[oi]=a[i]; a[i]=temp;
        }
        Arrays.sort(a);
    }

    static class Node{
        Integer first;
        Integer second;
        Node(Integer f,Integer s){
            this.first = f;
            this.second = s;
        }
    }

     static class FastScanner {

                BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
                StringTokenizer st=new StringTokenizer("");
                String next() {
                        while (!st.hasMoreTokens())
                                try {
                                        st=new StringTokenizer(br.readLine());
                                } catch (IOException e) {
                                        e.printStackTrace();
                                }
                        return st.nextToken();
                }
                
                int nextInt() {
                        return Integer.parseInt(next());
                }
                int[] readArray(int n) {
                        int[] a=new int[n];
                        for (int i=0; i<n; i++) a[i]=nextInt();
                        return a;
                }
                long nextLong() {
                        return Long.parseLong(next());
                }
        }

}