NOSQ - No Squares Numbers

【题意】不能被任何（$\neq 1$ 的）平方数整除的数叫做“无平方数”。如：$13,15,210$ 是“无平方数”，$25,108,18$ 不是“无平方数”。特别地，$1$ 也是“无平方数”。 现在的问题是：请你输出$a$ 和$b$ 之间所有包含数字$d$ 的无平方数的个数。如：$10$ 和$40$ 之间所有包含数字$3$ 的无平方数有：$13, 23, 30, 31, 33, 34, 35, 37, 38, 39$ 。 【输入】第一行一个整数$T$ （$1\leq T \leq 20000$ ），表示数据组数。后面有$T$ 行，每行三个整数$a,b,d$ ，意义如上 （$1\leq a,b \leq 100000,0 \leq d \leq 9$ ） Translated by @RobertGusMocoratioen

A square free number is defined as a number which is not divisible by any square number. For example, 13, 15, 210 are square free numbers, where as 25 (divisible by 5\*5), 108 (divisible by 6\*6), 18 (divisible by 3\*3) are not square free numbers. However number 1 is not considered to be a square and is a squarefree number. Now you must find how many numbers from number a to b, are square free and also have a digit d inside it. For example for in the range 10 to 40 te squarefree numbers having digit 3 are 13, 23, 30, 31, 33, 34, 35, 37, 38, 39

The first line contains an integer T, which is the number of test-cases Then follow T lines, each containing 3 integers a, b and d. 1 <= T <= 20,000 1 <= a <= b <= 100,000 0 <= d <= 9

Print one integer which is the required number as described in the problem statement.

3
10 40 3
1 100 4
1 100000 7

10
9
26318