SP8496 NOSQ - No Squares Numbers

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

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