Let us define two functions f and g on positive integer numbers.
You need to process Q queries. In each query, you will be given three integers l, r and k. You need to print the number of integers x between l and r inclusive, such that g(x) = k.
The first line of the input contains an integer Q (1 ≤ Q ≤ 2 × 10^{5}) representing the number of queries.
Q lines follow, each of which contains 3 integers l, r and k (1 ≤ l ≤ r ≤ 10^{6}, 1 ≤ k ≤ 9).
For each query, print a single line containing the answer for that query.
4
22 73 9
45 64 6
47 55 7
2 62 4
1
4
0
8
4
82 94 6
56 67 4
28 59 9
39 74 4
3
1
1
5
In the first example:
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