Task

Create a function that takes two numbers as an argument and returns the minimum number of steps that we need to do inside a range of numbers to obtain a secret number.

The first number, ran, allow us to define the range of numbers that will be used to determine the secret number. The range runs from 0 up to ran^2 (the number ran^2 is part of the range).

The second number, num, is the number we will use to determine the secret number. The secret number will be the mirror of num in the range previously defined.

Finally, we need to determine the minimum number of steps we need to do from num to the secret number. We can move forward of backwards through the range.

Examples

translate(3, 0) ➞ "-1 ---> 9"
# Here the range of numbers will be 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.
# The secret number will be 9, since 9 is the mirror of 0 in the defined range.
# The minimum number of steps to go from 0 to 9 is -1 (-1 < 9, being 9 the
# number of required steps if we move forward).

translate(3, 2) ➞ "+5 or -5 ---> 7"
# In this case, we can move to the secret number doing 5 setps forward or 5
# steps backwards, starting from 2.

translate(3, 4) ➞ "+1 ---> 5"

translate(9, 100) ➞ "100 is not in the range [0:81]"

translate(10, 50) ➞ "+0 ---> 50"

Input Constraints

• Easy - 30 cases (3<= n <10)
• Medium - 20 cases (500<= n <1000)
• Hard - 20 cases (10^3<= n <10^5)