write code for these 3 without using any if statements, any for or while loops, any try-except statements:

1. def is_triangle_string(string: str) -> bool:+ www Given an input in the form of some string that looks like "111222333", return True if is a triangle string, False otherwise. For the purposes of this function, we define a triangle string as a string which could represent a proper triangle if its characters were converted into the sides of a triangle. What we mean by this is, if let's say the three distinct characters within the string each represented one side of the triangle, and the number of occurrences of each distinct character represented the length of that side, and those three sides could form a proper triangle as defined in lab 2, then is a triangle string. Precondition: will be a string with three distinct characters, and there will be exactly two positions within the string where adjacent characters differ (are different). The length of will always be >= 3. Note that the characters do not have to be 1, 2 and 3 like the example given above, they could be any printable character. Restrictions: you must use your "exists_triangle" function from lab 2 as a helper for this function, in addition to the lab restrictions defined at the start of this file. You are allowed and are encouraged to fix any issues with your previous submission for this function. More explicitly, this means that somewhere within the body of this function, there must be a function call to the "exists_triangle" function defined above. Please remember to write doctests, you must write them below this line: