# 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

```java
```
