0972. Equal Rational Numbers

https://leetcode.com/problems/equal-rational-numbers

Description

Given two strings s and t, each of which represents a non-negative rational number, return true if and only if they represent the same number. The strings may use parentheses to denote the repeating part of the rational number.

A rational number can be represented using up to three parts: <IntegerPart>, <NonRepeatingPart>, and a <RepeatingPart>. The number will be represented in one of the following three ways:

• <IntegerPart>

  • For example, 12, 0, and 123.

• <IntegerPart>**<.>**<NonRepeatingPart>

  • For example, 0.5, 1., 2.12, and 123.0001.

• <IntegerPart>**<.>**<NonRepeatingPart>**<(>**<RepeatingPart>**<)>**

  • For example, 0.1(6), 1.(9), 123.00(1212).

The repeating portion of a decimal expansion is conventionally denoted within a pair of round brackets. For example:

• 1/6 = 0.16666666... = 0.1(6) = 0.1666(6) = 0.166(66).

Example 1:

**Input:** s = "0.(52)", t = "0.5(25)"
**Output:** true
**Explanation:** Because "0.(52)" represents 0.52525252..., and "0.5(25)" represents 0.52525252525..... , the strings represent the same number.

Example 2:

**Input:** s = "0.1666(6)", t = "0.166(66)"
**Output:** true

Example 3:

**Input:** s = "0.9(9)", t = "1."
**Output:** true
**Explanation:** "0.9(9)" represents 0.999999999... repeated forever, which equals 1.  [[See this link for an explanation.](https://en.wikipedia.org/wiki/0.999...)]
"1." represents the number 1, which is formed correctly: (IntegerPart) = "1" and (NonRepeatingPart) = "".

Constraints:

• Each part consists only of digits.

• The <IntegerPart> does not have leading zeros (except for the zero itself).

• 1 <= <IntegerPart>.length <= 4

• 0 <= <NonRepeatingPart>.length <= 4

• 1 <= <RepeatingPart>.length <= 4

ac