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.
# cook your dish here
from collections import defaultdict,OrderedDict,Counter
from sys import stdin,stdout
from bisect import bisect_left,bisect_right
# import numpy as np
from queue import Queue,PriorityQueue
from heapq import *
from statistics import *
from math import *
import fractions
import copy
from copy import deepcopy
import sys
import io
sys.setrecursionlimit(10000)
import math
import os
import bisect
import collections
mod=pow(10,9)+7
import random
from random import *
from time import  time;
def ncr(n, r, p=mod):
    num = den = 1
    for i in range(r):
        num = (num * (n - i)) % p
        den = (den * (i + 1)) % p
    return (num * pow(den,
            p - 2, p)) % p
def normalncr(n,r):
    r=min(r,n-r)
    count=1;
    for i in range(n-r,n+1):
        count*=i;

    for i in range(1,r+1):
        count//=i;
    return count

inf=float("inf")
adj=defaultdict(set)
visited=defaultdict(int)
def addedge(a,b):
    adj[a].add(b)
    adj[b].add(a)
def bfs(v):
    q=Queue()
    q.put(v)
    visited[v]=1
    while q.qsize()>0:
        s=q.get_nowait()
        print(s)
        for i in adj[s]:
            if visited[i]==0:
                q.put(i)
                visited[i]=1
def dfs(v,visited):
    if visited[v]==1:
        return;
    visited[v]=1

    print(v)
    for i in adj[v]:
        dfs(i,visited)
# a9=pow(10,6)+10
# prime = [True for i in range(a9 + 1)]
# def SieveOfEratosthenes(n):
#     p = 2
#     while (p * p <= n):
#         if (prime[p] == True):
#             for i in range(p * p, n + 1, p):
#                 prime[i] = False
#         p += 1
# SieveOfEratosthenes(a9)
# prime_number=[]
# for i in range(2,a9):
#     if prime[i]:
#         prime_number.append(i)
def reverse_bisect_right(a, x, lo=0, hi=None):
    if lo < 0:
        raise ValueError('lo must be non-negative')
    if hi is None:
        hi = len(a)
    while lo < hi:
        mid = (lo+hi)//2
        if x > a[mid]:
            hi = mid
        else:
            lo = mid+1
    return lo
def reverse_bisect_left(a, x, lo=0, hi=None):
    if lo < 0:
        raise ValueError('lo must be non-negative')
    if hi is None:
        hi = len(a)
    while lo < hi:
        mid = (lo+hi)//2
        if x >= a[mid]:
            hi = mid
        else:
            lo = mid+1
    return lo

def get_list():
    return list(map(int,input().split()))
def get_str_list_in_int():
    return [int(i) for i in list(input())]
def get_str_list():
    return list(input())
def get_map():
    return map(int,input().split())
def input_int():
    return int(input())
def matrix(a,b):
    return [[0 for i in range(b)] for j in range(a)]
def swap(a,b):
    return b,a
def find_gcd(l):
    a=l[0]
    for i in range(len(l)):
        a=gcd(a,l[i])
    return a;
def is_prime(n):
    sqrta=int(sqrt(n))
    for i in range(2,sqrta+1):
        if n%i==0:
            return 0;
    return 1;
def prime_factors(n):
    while n % 2 == 0:
        return [2]+prime_factors(n//2)
    sqrta = int(sqrt(n))


    for i in range(3,sqrta+1,2):
        if n%i==0:
            return [i]+prime_factors(n//i)

    return [n]
def p(a):
    if type(a)==str:
        print(a+"\n")
    else:
        print(str(a)+"\n")
def ps(a):
    if type(a)==str:
        print(a)
    else:
        print(str(a))
def kth_no_not_div_by_n(n,k):
    return k+(k-1)//(n-1)
def forward_array(l):
    n=len(l)
    stack = []
    forward=[0]*n
    for i in range(len(l) - 1, -1, -1):
        while len(stack) and l[stack[-1]] < l[i]:
            stack.pop()
        if len(stack) == 0:
            forward[i] = len(l);
        else:
            forward[i] = stack[-1]
        stack.append(i)
    return forward;
def backward_array(l):
    n=len(l)
    stack = []
    backward=[0]*n
    for i in range(len(l)):
        while len(stack) and l[stack[-1]] < l[i]:
            stack.pop()
        if len(stack) == 0:
            backward[i] = -1;
        else:
            backward[i] = stack[-1]
        stack.append(i)
    return backward
nc="NO"
yc="YES"
ns="No"
ys="Yes"

# import math as mt
# MAXN=10**7
# spf = [0 for i in range(MAXN)]
# def sieve():
#     spf[1] = 1
#     for i in range(2, MAXN):
#         # marking smallest prime factor
#         # for every number to be itself.
#         spf[i] = i
#
#         # separately marking spf for
#     # every even number as 2
#     for i in range(4, MAXN, 2):
#         spf[i] = 2
#
#     for i in range(3, mt.ceil(mt.sqrt(MAXN))):
#
#         # checking if i is prime
#         if (spf[i] == i):
#
#             # marking SPF for all numbers
#             # divisible by i
#             for j in range(i * i, MAXN, i):
#
#                 # marking spf[j] if it is
#                 # not previously marked
#                 if (spf[j] == j):
#                     spf[j] = i
# def getFactorization(x):
#     ret = list()
#     while (x != 1):
#         ret.append(spf[x])
#         x = x // spf[x]
#
#     return ret
# sieve()



# if(os.path.exists('input.txt')):
#     sys.stdin = open("input.txt","r") ; sys.stdout = open("output.txt","w")


# input = io.BytesIO(os.read(0, os.fstat(0).st_size)).readline
input=stdin.readline
print=stdout.write
mod=int(pow(10,9))+7
dict=[1]*(2*10**5+10)

for i in range(1,10):

    dict[i]=2
dict[10]=3
for i in range(11,2*10**5+10):
    dict[i]=dict[i-9]+dict[i-10]
    dict[i]%=mod

def ret(n,k):
    if k-9+n<0:
        return 1;
    return dict[k-9+n]

for i in range(int(input())):

    n,k=map(int,input().split())
    suma=0;

    while n:

        suma=(suma+ret(n%10,k))%mod
        n//=10
    print(str(suma)+"\n")



