// Time:  O(logn), where logn is the length of result strings
// Space: O(1)

class Solution {
public:
    string fractionToDecimal(int numerator, int denominator) {
        string result;
        if ((numerator ^ denominator) >> 31 && numerator != 0) {
            result = "-";
        }

        auto dvd = llabs(numerator);
        auto dvs = llabs(denominator);
        result += to_string(dvd / dvs);
        dvd %= dvs;
        if (dvd > 0) {
            result += ".";
        }
        
        unordered_map<long long, int> lookup;
        while (dvd && !lookup.count(dvd)) {
            lookup[dvd] = result.length();
            dvd *= 10;
            result += to_string(dvd / dvs);
            dvd %= dvs;
        }

        if (lookup.count(dvd)) {
            result.insert(lookup[dvd], "(");
            result.push_back(')');
        }
        return result;
    }
};