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.io.Writer;
import java.awt.Point;
import java.awt.geom.Point2D;
import java.io.BufferedWriter;
import java.io.FileInputStream;
import java.io.FileNotFoundException;
import java.io.OutputStreamWriter;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.io.IOException;
import java.io.InputStream;
import java.math.BigInteger;
import java.text.ParseException;
import java.util.Arrays;
import java.util.BitSet;
import java.util.Comparator;
import java.util.HashMap;
import java.util.HashSet;
import java.util.ArrayList;
import java.util.InputMismatchException;
import java.util.Iterator;
import java.util.LinkedList;
import java.util.List;
import java.util.Map.Entry;
import java.util.PriorityQueue;
import java.util.Stack;
import java.util.TreeMap;
import java.util.TreeSet;
import java.util.stream.Stream;

public class Main {
	static class ProblemSolver{
		double area(ArrayList<Point> P) {
			double sum = 0;
			for (int i = 0; i < P.size(); i ++) {
				int pre = (i - 1 + P.size()) % P.size();
				int next = (i + 1) % P.size();
				sum += P.get(i).x * (P.get(next).y - P.get(pre).y);
			}
			return Math.abs(sum) / 2;
		}
		boolean isIn(Point p, ArrayList<Point> P) {
			double thisSum = 0;
			for (int i = 0; i < P.size(); i ++) {
				int next = (i + 1) % P.size();
				ArrayList<Point> thisP = new ArrayList<Point>();
				thisP.add(p);
				thisP.add(P.get(next));
				thisP.add(P.get(i));
				thisSum += area(thisP);
			}
			return thisSum == area(P);
		}
		public void solveTheProblem(InputReader in, OutputWriter out) throws ParseException {
			int n = in.nextInt();
			int d = in.nextInt();
			int m = in.nextInt();
			ArrayList<Point> P = new ArrayList<Point>();
			P.add(new Point(0, d));
			P.add(new Point(d, 0));
			P.add(new Point(n, n - d));
			P.add(new Point(n- d, n));
			for (int i = 0; i < m; i ++) {
				int x = in.nextInt();
				int y = in.nextInt();
				if (isIn(new Point(x, y), P)) out.println("YES");
				else out.println("NO");
			}
		}
	}

	static InputReader in;
	static OutputWriter out;
	public static void main(String[] args) throws FileNotFoundException, ParseException {
		//InputStream inputStream = new FileInputStream("input.txt");
		InputStream inputStream = System.in;
		OutputStream outputStream = System.out;
		in = new InputReader(inputStream);
		out = new OutputWriter(outputStream);
		ProblemSolver problemSolver = new ProblemSolver();
		problemSolver.solveTheProblem(in, out);
		out.flush();
		out.close();
	}

	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 peek() {
			if (numChars == -1) {
				return -1;
			}
			if (curChar >= numChars) {
				curChar = 0;
				try {
					numChars = stream.read(buf);
				} catch (IOException e) {
					return -1;
				}
				if (numChars <= 0) {
					return -1;
				}
			}
			return buf[curChar];
		}

		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 String nextString() {
			int c = read();
			while (isSpaceChar(c)) {
				c = read();
			}
			StringBuilder res = new StringBuilder();
			do {
				if (Character.isValidCodePoint(c)) {
					res.appendCodePoint(c);
				}
				c = read();
			} while (!isSpaceChar(c));
			return res.toString();
		}

		public boolean isSpaceChar(int c) {
			if (filter != null) {
				return filter.isSpaceChar(c);
			}
			return isWhitespace(c);
		}

		public static boolean isWhitespace(int c) {
			return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
		}

		private String readLine0() {
			StringBuilder buf = new StringBuilder();
			int c = read();
			while (c != '\n' && c != -1) {
				if (c != '\r') {
					buf.appendCodePoint(c);
				}
				c = read();
			}
			return buf.toString();
		}

		public String readLine() {
			String s = readLine0();
			while (s.trim().length() == 0) {
				s = readLine0();
			}
			return s;
		}

		public String readLine(boolean ignoreEmptyLines) {
			if (ignoreEmptyLines) {
				return readLine();
			} else {
				return readLine0();
			}
		}

		public BigInteger readBigInteger() {
			try {
				return new BigInteger(nextString());
			} catch (NumberFormatException e) {
				throw new InputMismatchException();
			}
		}

		public char nextCharacter() {
			int c = read();
			while (isSpaceChar(c)) {
				c = read();
			}
			return (char) c;
		}

		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 boolean isExhausted() {
			int value;
			while (isSpaceChar(value = peek()) && value != -1) {
				read();
			}
			return value == -1;
		}

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

		public SpaceCharFilter getFilter() {
			return filter;
		}

		public void setFilter(SpaceCharFilter filter) {
			this.filter = filter;
		}

		public interface SpaceCharFilter {
			public boolean isSpaceChar(int ch);
		}

		public int[] nextIntArray(int n) {
			int[] array = new int[n];
			for (int i = 0; i < n; ++i)
				array[i] = nextInt();
			return array;
		}

		public int[] nextSortedIntArray(int n) {
			int array[] = nextIntArray(n);
			Arrays.sort(array);
			return array;
		}

		public int[] nextSumIntArray(int n) {
			int[] array = new int[n];
			array[0] = nextInt();
			for (int i = 1; i < n; ++i)
				array[i] = array[i - 1] + nextInt();
			return array;
		}

		public long[] nextLongArray(int n) {
			long[] array = new long[n];
			for (int i = 0; i < n; ++i)
				array[i] = nextLong();
			return array;
		}

		public long[] nextSumLongArray(int n) {
			long[] array = new long[n];
			array[0] = nextInt();
			for (int i = 1; i < n; ++i)
				array[i] = array[i - 1] + nextInt();
			return array;
		}

		public long[] nextSortedLongArray(int n) {
			long array[] = nextLongArray(n);
			Arrays.sort(array);
			return array;
		}

		public int[][] nextIntMatrix(int n, int m) {
			int[][] matrix = new int[n][m];
			for (int i = 0; i < n; ++i)
				for (int j = 0; j < m; ++j)
					matrix[i][j] = nextInt();
			return matrix;
		}

		public int[][] nextIntMatrix(int n) {
			return nextIntMatrix(n, n);
		}

		public long[][] nextLongMatrix(int n, int m) {
			long[][] matrix = new long[n][m];
			for (int i = 0; i < n; ++i)
				for (int j = 0; j < m; ++j)
					matrix[i][j] = nextLong();
			return matrix;
		}

		public long[][] nextLongMatrix(int n) {
			return nextLongMatrix(n, n);
		}

		public char[][] nextCharMatrix(int n, int m) {
			char[][] matrix = new char[n][m];
			for (int i = 0; i < n; ++i)
				matrix[i] = next().toCharArray();
			return matrix;
		}

		public char[][] nextCharMatrix(int n) {
			return nextCharMatrix(n, n);
		}
	}

	static class OutputWriter {
		private final PrintWriter writer;

		public OutputWriter(OutputStream outputStream) {
			writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
		}

		public OutputWriter(Writer writer) {
			this.writer = new PrintWriter(writer);
		}

		public void print(Object... objects) {
			for (int i = 0; i < objects.length; i++) {
				if (i != 0) {
					writer.print(' ');
				}
				writer.print(objects[i]);
			}
		}

		public void print(int[] array) {
			for (int i = 0; i < array.length; i++) {
				if (i != 0) {
					writer.print(' ');
				}
				writer.print(array[i]);
			}
		}

		public void print(double[] array) {
			for (int i = 0; i < array.length; i++) {
				if (i != 0) {
					writer.print(' ');
				}
				writer.print(array[i]);
			}
		}

		public void print(long[] array) {
			for (int i = 0; i < array.length; i++) {
				if (i != 0) {
					writer.print(' ');
				}
				writer.print(array[i]);
			}
		}

		public void print(char[] array) {
			for (int i = 0; i < array.length; i++) {
				if (i != 0) {
					writer.print(' ');
				}
				writer.print(array[i]);
			}
		}

		public void print(String[] array) {
			for (int i = 0; i < array.length; i++) {
				if (i != 0) {
					writer.print(' ');
				}
				writer.print(array[i]);
			}
		}

		public void print(int[][] matrix) {
			for (int i = 0; i < matrix.length; ++i) {
				println(matrix[i]);
			}
		}

		public void print(double[][] matrix) {
			for (int i = 0; i < matrix.length; ++i) {
				println(matrix[i]);
			}
		}

		public void print(long[][] matrix) {
			for (int i = 0; i < matrix.length; ++i) {
				println(matrix[i]);
			}
		}

		public void print(char[][] matrix) {
			for (int i = 0; i < matrix.length; ++i) {
				println(matrix[i]);
			}
		}

		public void print(String[][] matrix) {
			for (int i = 0; i < matrix.length; ++i) {
				println(matrix[i]);
			}
		}

		public void println(int[] array) {
			print(array);
			writer.println();
		}

		public void println(double[] array) {
			print(array);
			writer.println();
		}

		public void println(long[] array) {
			print(array);
			writer.println();
		}

		public void println(char[] array) {
			print(array);
			writer.println();
		}

		public void println(String[] array) {
			print(array);
			writer.println();
		}

		public void println() {
			writer.println();
		}

		public void println(Object... objects) {
			print(objects);
			writer.println();
			writer.flush();
		}

		public void print(char i) {
			writer.print(i);
		}

		public void println(char i) {
			writer.println(i);
		}

		public void printf(String format, Object... objects) {
			writer.printf(format, objects);
		}

		public void close() {
			writer.close();
		}

		public void flush() {
			writer.flush();
		}

		public void print(long i) {
			writer.print(i);
		}

		public void println(long i) {
			writer.println(i);
		}

		public void print(int i) {
			writer.print(i);
		}

		public void println(int i) {
			writer.println(i);
		}

		public void separateLines(int[] array) {
			for (int i : array) {
				println(i);
			}
		}
	}
}