<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:
        ans = ''
        if numerator == 0:
            return '0'
        elif numerator / denominator < 0:
            ans += '-'
        
        numerator = abs(numerator)
        denominator = abs(denominator)
        num = numerator // denominator
        rem = numerator % denominator

        ans += str(num)

        if rem == 0:
            return ans
        
        ans += '.'

        dec = ''
        decset = {}
        while rem:
            if rem in decset:
                break
            decset[rem] = len(dec)
            rem = rem * 10
            if rem < denominator:
                dec += '0'
                continue
            dec += str(rem // denominator)
            rem = rem % denominator
        else:
            return ans + dec

        return ans + dec[:decset[rem]] + '(' + dec[decset[rem]:] + ')'

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