Problem: You are given two integers a and b, and q queries. The i-th query consists of two numbers l_i and r_i, and the answer to it is the number of integers x such that l_i ≤ x ≤ r_i, and ((x mod a) mod b) ≠ ((x mod b) mod a). Calculate the answer for each query.

Recall that y mod z is the remainder of the division of y by z. For example, 5 mod 3 = 2, 7 mod 8 = 7, 9 mod 4 = 1, 9 mod 9 = 0.

Input

The first line contains one integer t (1 ≤ t ≤ 100) — the number of test cases. Then the test cases follow.

The first line of each test case contains three integers a, b and q (1 ≤ a, b ≤ 200; 1 ≤ q ≤ 500).

Then q lines follow, each containing two integers l_i and r_i (1 ≤ l_i ≤ r_i ≤ 10^{18}) for the corresponding query.

Output

For each test case, print q integers — the answers to the queries of this test case in the order they appear.

Example

Input


2
4 6 5
1 1
1 3
1 5
1 7
1 9
7 10 2
7 8
100 200


Output


0 0 0 2 4 
0 91 

Solution (in JAVA):

Solution:
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;

public class cf_edu86 {

	static class Reader {

		final private int BUFFER_SIZE = 1 << 12;
		boolean consume = false;
		private byte[] buffer;
		private int bufferPointer, bytesRead;
		private boolean reachedEnd = false;

		public Reader() {
			buffer = new byte[BUFFER_SIZE];
			bufferPointer = 0;
			bytesRead = 0;
		}

		public boolean hasNext() {
			return !reachedEnd;
		}

		private void fillBuffer() throws IOException {
			bytesRead = System.in.read(buffer, bufferPointer = 0, BUFFER_SIZE);
			if (bytesRead == -1) {
				buffer[0] = -1;
				reachedEnd = true;
			}
		}

		private void consumeSpaces() throws IOException {
			while (read() <= ' ' && reachedEnd == false)
				;
			bufferPointer--;
		}

		private byte read() throws IOException {
			if (bufferPointer == bytesRead) {
				fillBuffer();
			}
			return buffer[bufferPointer++];
		}

		public String next() throws IOException {
			StringBuilder sb = new StringBuilder();
			consumeSpaces();
			byte c = read();
			do {
				sb.append((char) c);
			} while ((c = read()) > ' ');
			if (consume) {
				consumeSpaces();
			}
			;
			if (sb.length() == 0) {
				return null;
			}
			return sb.toString();
		}

		public String nextLine() throws IOException {
			BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
			String str = br.readLine();
			return str;
		}

		public int nextInt() throws IOException {
			consumeSpaces();
			int ret = 0;
			byte c = read();
			boolean neg = (c == '-');
			if (neg) {
				c = read();
			}
			do {
				ret = ret * 10 + c - '0';
			} while ((c = read()) >= '0' && c <= '9');
			if (consume) {
				consumeSpaces();
			}
			if (neg) {
				return -ret;
			}
			return ret;
		}

		public long nextLong() throws IOException {
			consumeSpaces();
			long ret = 0;
			byte c = read();
			boolean neg = (c == '-');
			if (neg) {
				c = read();
			}
			do {
				ret = ret * 10L + c - '0';
			} while ((c = read()) >= '0' && c <= '9');
			if (consume) {
				consumeSpaces();
			}
			if (neg) {
				return -ret;
			}
			return ret;
		}

		public double nextDouble() throws IOException {
			consumeSpaces();
			double ret = 0;
			double div = 1;
			byte c = read();
			boolean neg = (c == '-');
			if (neg) {
				c = read();
			}
			do {
				ret = ret * 10 + c - '0';
			} while ((c = read()) >= '0' && c <= '9');
			if (c == '.') {
				while ((c = read()) >= '0' && c <= '9') {
					ret += (c - '0') / (div *= 10);
				}
			}
			if (consume) {
				consumeSpaces();
			}
			if (neg) {
				return -ret;
			}
			return ret;
		}

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

		public int[][] nextIntMatrix(int n, int m) throws IOException {
			int[][] grid = new int[n][m];
			for (int i = 0; i < n; i++) {
				grid[i] = nextIntArray(m);
			}
			return grid;
		}

		public char[][] nextCharacterMatrix(int n) throws IOException {
			char[][] a = new char[n][];
			for (int i = 0; i < n; i++) {
				a[i] = next().toCharArray();
			}
			return a;
		}

		public void close() throws IOException {
			if (System.in == null) {
				return;
			} else {
				System.in.close();
			}
		}
	}

	static Reader r = new Reader();
	static PrintWriter out = new PrintWriter(System.out);

	private static void solve1() throws IOException {

		int t = r.nextInt();
		StringBuilder res = new StringBuilder();

		while (t-- > 0) {

			long x = r.nextLong();
			long y = r.nextLong();

			long a = r.nextLong();
			long b = r.nextLong();

			long x_ = Math.min(x, y);
			long y_ = Math.max(x, y);

			long tot = a * (y_ - x_);
			tot += Math.min(2 * x_ * a, b * x_);
			res.append(tot).append("\n");

		}

		out.print(res);
		out.close();
	}

	private static void solve2() throws IOException {

		int t = r.nextInt();
		StringBuilder res = new StringBuilder();

		while (t-- > 0) {

			String s = r.next();

			if (s.indexOf('0') < 0 || s.indexOf('1') < 0) {
				res.append(s);
			} else {
				for (int i = 0; i < s.length(); i++) {
					res.append("10");
				}
			}
			res.append("\n");

		}

		out.print(res);
		out.close();
	}

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

	private static long getAns(long lcm, long b, long till) {
		long complete = (till / lcm) * (lcm - b);
		long remaining = Math.max(0, ((till % lcm) + 1) - b);
		return complete + remaining;
	}

	private static void solve3() throws IOException {

		int t = r.nextInt();
		StringBuilder res = new StringBuilder();

		while (t-- > 0) {

			long a = r.nextLong();
			long b = r.nextLong();
			long q = r.nextLong();

			if (a > b) {
				long temp = a;
				a = b;
				b = temp;
			}

			long lcm = (a * b) / gcd(a, b);

			while (q-- > 0) {

				long lt = r.nextLong();
				long rt = r.nextLong();

				long ans = getAns(lcm, b, rt) - getAns(lcm, b, lt - 1);
				res.append(ans).append(" ");

			}
			res.append("\n");

		}

		out.print(res);
		out.close();
	}

	private static void solve4() throws IOException {

		int t = r.nextInt();
		StringBuilder res = new StringBuilder();

		while (t-- > 0) {

			int n = r.nextInt();

			res.append(false).append("\n");
		}

		out.print(res);
		out.close();

	}

	private static void solve5() throws IOException {

		int t = r.nextInt();
		StringBuilder res = new StringBuilder();

		while (t-- > 0) {

			int n = r.nextInt();

			res.append(false).append("\n");
		}

		out.print(res);
		out.close();
	}

	private static void solve6() throws IOException {

		int t = r.nextInt();
		StringBuilder res = new StringBuilder();

		while (t-- > 0) {

			int n = r.nextInt();

			res.append(false).append("\n");
		}

		out.print(res);
		out.close();
	}

	public static void main(String[] args) throws IOException {

//		solve1();

//		solve2();

		solve3();

		// solve4();

		// solve5();

		// solve6();

	}

}