<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 {
public:
    string fractionToDecimal(int numerator, int denominator) {
        string decimal = ((numerator > 0 && denominator < 0) || (numerator < 0 && denominator > 0) ? "-" : "") + to_string(abs((long long)numerator / (long long)denominator));
        long long remainder = abs((long long)numerator) % abs((long long)denominator);
        if (remainder == 0) return decimal;

        string after;
        map<long long, int> seen;
        int dupe = -1;
        for (int i = 0; remainder != 0; i++) {
            if (seen.contains(remainder)) {
                dupe = seen[remainder];
                break;
            }
            seen[remainder] = i;
            remainder *= 10;
            after += to_string(abs(remainder / denominator));
            remainder %= denominator;
        }
        if (dupe != -1) {
            after.insert(dupe, "(");
            after += ")";
        }

        return decimal + "." + after;
    }
};
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