## Monday, February 15, 2016

### LeetCode OJ - Fraction to Recurring Decimal

Problem:

Solution:

Just grade school algorithm, doing trial division and remember all the seen remainders, if we ever get to the seen remainder again then just stop the loop.

The tricky part of getting the judge to like my solution is to make sure it works on all huge integers, in particular, (1 << 31) is tricky because you cannot take negative on it in a 32 bit integer, so I must expand to 64 bits integers. Not great, but it worked and simple enough than to worry about all sort of possibilities.

Code:

#include "stdafx.h"

// https://leetcode.com/problems/fraction-to-recurring-decimal/

#include "LEET_FRACTION_TO_RECURRING_DECIMAL.h"
#include <map>
#include <iostream>
#include <sstream>
#include <vector>
#include <string>

using namespace std;

namespace _LEET_FRACTION_TO_RECURRING_DECIMAL
{
typedef long long int64;

class Solution
{
public:
void fractionPart(ostringstream& ss, int64 numerator, int64 denominator)
{
vector<int64> quotient_digits;
map<int64, size_t> remainder_index;
int found = -1;
while (true)
{
if (numerator == 0)
{
break;
}
numerator *= 10;
map<int64, size_t>::iterator probe = remainder_index.find(numerator);
if (probe != remainder_index.end())
{
found = probe->second;
break;
}
remainder_index.insert(pair<int64, size_t>(numerator, quotient_digits.size()));
int64 quotient = numerator / denominator;
int64 remainder = numerator % denominator;
quotient_digits.push_back(quotient);
numerator = remainder;
}
ss << ".";
for (size_t i = 0; i < quotient_digits.size(); i++)
{
if (i == found)
{
ss << "(";
}
ss << quotient_digits[i];
}
if (found != -1)
{
ss << ")";
}
}

string fractionToDecimal(int numerator, int denominator)
{
int64 n = numerator;
int64 d = denominator;

bool positive = true;
if (n < 0)
{
positive = !positive;
n *= -1;
}
if (d < 0)
{
positive = !positive;
d *= -1;
}

ostringstream ss;
if (!positive && n != 0)
{
ss << "-";
}
ss << n / d;
int64 remainder = n % d;
if (remainder != 0)
{
fractionPart(ss, remainder, d);
}
return ss.str();
}
};
};

using namespace _LEET_FRACTION_TO_RECURRING_DECIMAL;

int LEET_FRACTION_TO_RECURRING_DECIMAL()
{
Solution solution;
cout << solution.fractionToDecimal(1, 2) << endl;
cout << solution.fractionToDecimal(2, 1) << endl;
cout << solution.fractionToDecimal(2, 3) << endl;
cout << solution.fractionToDecimal(1, 7) << endl;
cout << solution.fractionToDecimal(1, 70) << endl;
cout << solution.fractionToDecimal(1, 99) << endl;
cout << solution.fractionToDecimal(-50, 8) << endl;
cout << solution.fractionToDecimal((1 << 31), 1) << endl;
cout << solution.fractionToDecimal(1, (1 << 31)) << endl;
return 0;
}