LeetCode-in-Java

166. Fraction to Recurring Decimal

Medium

Given two integers representing the numerator and denominator of a fraction, return the fraction in string format.

If the fractional part is repeating, enclose the repeating part in parentheses.

If multiple answers are possible, return any of them.

It is guaranteed that the length of the answer string is less than 104 for all the given inputs.

Example 1:

Input: numerator = 1, denominator = 2

Output: “0.5”

Example 2:

Input: numerator = 2, denominator = 1

Output: “2”

Example 3:

Input: numerator = 2, denominator = 3

Output: “0.(6)”

Example 4:

Input: numerator = 4, denominator = 333

Output: “0.(012)”

Example 5:

Input: numerator = 1, denominator = 5

Output: “0.2”

Constraints:

Solution

import java.util.HashMap;
import java.util.Map;

@SuppressWarnings("java:S2153")
public class Solution {
    public String fractionToDecimal(int numerator, int denominator) {
        if (numerator == 0) {
            return "0";
        }
        StringBuilder sb = new StringBuilder();
        // negative case
        if (numerator > 0 && denominator < 0 || numerator < 0 && denominator > 0) {
            sb.append("-");
        }
        long x = Math.abs(Long.valueOf(numerator));
        long y = Math.abs(Long.valueOf(denominator));
        sb.append(x / y);
        long remainder = x % y;
        if (remainder == 0) {
            return sb.toString();
        }
        // decimal case
        sb.append(".");
        // store the remainder in a Hashmap because in the case of recurring decimal, the remainder
        // repeats as dividend.
        Map<Long, Integer> map = new HashMap<>();
        while (remainder != 0) {
            if (map.containsKey(remainder)) {
                sb.insert(map.get(remainder), "(");
                sb.append(")");
                break;
            }
            // store the remainder and the index of it's occurence in the String
            map.put(remainder, sb.length());
            remainder *= 10;
            sb.append(remainder / y);
            remainder %= y;
        }
        return sb.toString();
    }
}