#include <stdio.h>

typedef struct {
    long long int numerator;
    unsigned long long int denominator;
} FRACTION;

FRACTION Fra_Add(FRACTION f1, FRACTION f2);
FRACTION Fra_Sub(FRACTION f1, FRACTION f2);
long long findGcd(long long a, long long b);
FRACTION reduceFrac(FRACTION origin);

int main() {
    FRACTION result, toBeAdd;
    int i = 0;

    result.numerator = 0;
    result.denominator = 1;
    toBeAdd.numerator = 1;
    i = 1;
    while (i < 11) {
        toBeAdd.denominator = 2 * i - 1;
        result = Fra_Add(result, toBeAdd);
        i++;
        toBeAdd.denominator = 2 * i - 1;
        result = Fra_Sub(result, toBeAdd);
        i++;
    }
    result.numerator *= 4;
    result = reduceFrac(result);
    printf("Result: %lld/%lu, or %lf", result.numerator, result.denominator, ((double) result.numerator)/ result.denominator);
    return 0;
}

FRACTION Fra_Add(FRACTION f1, FRACTION f2) {
    FRACTION result;
    if (f1.denominator == 0 || f2.denominator == 0) {
        result.denominator = 0;
        result.numerator = 0;
        return result;
    }
    long long gcd = findGcd((long long)f1.denominator, (long long)f2.denominator);
    result.denominator = (f1.denominator / gcd) * f2.denominator;
    result.numerator = f2.denominator / gcd * f1.numerator + f1.denominator / gcd * f2.numerator;
    return result;
}

FRACTION Fra_Sub(FRACTION f1, FRACTION f2) {
    FRACTION result;
    if (f1.denominator == 0 || f2.denominator == 0) {
        result.denominator = 0;
        result.numerator = 0;
        return result;
    }
    long long gcd = findGcd((long long)f1.denominator, (long long)f2.denominator);
    result.denominator = (f1.denominator / gcd) * f2.denominator;
    result.numerator = f2.denominator / gcd * f1.numerator - f1.denominator / gcd * f2.numerator;
    return result;
}

long long findGcd(long long a, long long b) {
    long long c = a % b;
    switch (c) {
        case 0:
            return b;
            break;
        default:
            return findGcd(b, c);
    }
}

FRACTION reduceFrac(FRACTION origin) {
    long long gcd;
    FRACTION result;
    gcd = findGcd(origin.numerator, origin.denominator);
    result.numerator = origin.numerator / gcd;
    result.denominator = origin.denominator / gcd;
    return result;
}