You are given an integer n. You have to apply m operations to it.

In a single operation, you must replace every digit d of the number with the decimal representation of integer d + 1. For example, 1912 becomes 21023 after applying the operation once.

You have to find the length of n after applying m operations. Since the answer can be very large, print it modulo 10^9+7.

Input

The first line contains a single integer t (1 ≤ t ≤ 2 ⋅ 10^5) — the number of test cases.

The only line of each test case contains two integers n (1 ≤ n ≤ 10^9) and m (1 ≤ m ≤ 2 ⋅ 10^5) — the initial number and the number of operations. 

Output

For each test case output the length of the resulting number modulo 10^9+7.

Example

Input


5
1912 1
5 6
999 1
88 2
12 100


Output


5
2
6
4
2115

Note

For the first test, 1912 becomes 21023 after 1 operation which is of length 5.

For the second test, 5 becomes 21 after 6 operations which is of length 2.

For the third test, 999 becomes 101010 after 1 operation which is of length 6.

For the fourth test, 88 becomes 1010 after 2 operations which is of length 4.
import java.util.*;
import java.io.*;
public class d59 {
	static long mod = (long) (Math.pow(10, 9) + 7);
	public static void main(String[] args) throws IOException {
		Reader sc = new Reader();
		PrintWriter out = new PrintWriter(System.out);
		long[] length = new long[200010];
		long[] occ = new long[10];
		occ[0] = 1;
		length[0] = 1;
		for(int i = 1; i < length.length; i++) {
			long foo = occ[9] % mod;
			for(int j = 9; j >= 1; j--) occ[j] = occ[j - 1] % mod;
			occ[0] = foo;
			occ[1] += foo;
			long ans = 0;
			for(long j : occ) ans += j;
			length[i] = ans % mod;
		}
		int t = sc.nextInt();
		for(int i = 0; i < t; i++) {
			long n = sc.nextInt(), m = sc.nextInt(), ans = 0;
			while(n > 0) {
				ans += length[(int) ((n % 10) + m)];
				n/=10;
			}
			out.println((ans + mod)  % mod);
		}
		out.close();
		
	}
	

		static class Reader {
			final private int BUFFER_SIZE = 1 << 16;
			private DataInputStream din;
			private byte[] buffer;
			private int bufferPointer, bytesRead;

			public Reader()
			{
				din = new DataInputStream(System.in);
				buffer = new byte[BUFFER_SIZE];
				bufferPointer = bytesRead = 0;
			}

			public Reader(String file_name) throws IOException
			{
				din = new DataInputStream(
					new FileInputStream(file_name));
				buffer = new byte[BUFFER_SIZE];
				bufferPointer = bytesRead = 0;
			}

			public String readLine() throws IOException
			{
				byte[] buf = new byte[64]; // line length
				int cnt = 0, c;
				while ((c = read()) != -1) {
					if (c == '\n') {
						if (cnt != 0) {
							break;
						}
						else {
							continue;
						}
					}
					buf[cnt++] = (byte)c;
				}
				return new String(buf, 0, cnt);
			}

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

				if (neg)
					return -ret;
				return ret;
			}

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

			public double nextDouble() throws IOException
			{
				double ret = 0, div = 1;
				byte c = read();
				while (c <= ' ')
					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 (neg)
					return -ret;
				return ret;
			}

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

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

			public void close() throws IOException
			{
				if (din == null)
					return;
				din.close();
			}
		}
}
