<p>Given two integers representing the <code>numerator</code> and <code>denominator</code> of a fraction, return <em>the fraction in string format</em>.</p>

<p>If the fractional part is repeating, enclose the repeating part in parentheses.</p>

<p>If multiple answers are possible, return <strong>any of them</strong>.</p>

<p>It is <strong>guaranteed</strong> that the length of the answer string is less than <code>10<sup>4</sup></code> for all the given inputs.</p>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>

<pre>
<strong>Input:</strong> numerator = 1, denominator = 2
<strong>Output:</strong> &quot;0.5&quot;
</pre>

<p><strong class="example">Example 2:</strong></p>

<pre>
<strong>Input:</strong> numerator = 2, denominator = 1
<strong>Output:</strong> &quot;2&quot;
</pre>

<p><strong class="example">Example 3:</strong></p>

<pre>
<strong>Input:</strong> numerator = 4, denominator = 333
<strong>Output:</strong> &quot;0.(012)&quot;
</pre>

<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li><code>-2<sup>31</sup> &lt;=&nbsp;numerator, denominator &lt;= 2<sup>31</sup> - 1</code></li>
	<li><code>denominator != 0</code></li>
</ul>

class Solution:
    def fractionToDecimal(self, numerator: int, denominator: int) -> str:
        if numerator == 0:
            return "0"
        
        res = []
        num_sign, den_sign = numerator<0, denominator<0
        if num_sign != den_sign:
            res.append("-")
        
        dividend, divisor = abs(numerator), abs(denominator)
        res.append(str(dividend//divisor))
        remainder = dividend % divisor

        if remainder == 0:
            return ''.join(res)
        
        res.append(".")
        recurring_decimal = {}
        
        while remainder != 0:
            if remainder in recurring_decimal:
                res.insert(recurring_decimal[remainder], "(")
                res.append(")")
                break

            recurring_decimal[remainder] = len(res)
            remainder *= 10
            res.append(str(remainder//divisor))
            remainder %= divisor


        return "".join(res)
16700