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Envío 2894

Problema 0x32 - Sumar dos números muy grandes

Caso # Resultado Tiempo Memoria
#1
Correcto
0.005 s 2 KBi
#2
Correcto
0.006 s 14 KBi
#3
Correcto
0.004 s 1 KBi
#4
Correcto
0.004 s 1 KBi
#5
Correcto
0.006 s 1 KBi
#6
Correcto
0.007 s 2 KBi
#7
Correcto
0.004 s 2 KBi
#8
Correcto
0.004 s 2 KBi
#9
Correcto
0.004 s 2 KBi
#10
Correcto
0.004 s 1 KBi
#11
Correcto
0.004 s 1 KBi
#12
Correcto
0.004 s 1 KBi
#13
Correcto
0.008 s 2 KBi
#14
Correcto
0.007 s 1 KBi
#15
Correcto
0.004 s 1 KBi
#16
Correcto
0.005 s 2 KBi
#17
Correcto
0.004 s 2 KBi
#18
Correcto
0.005 s 1 KBi
#19
Correcto
0.006 s 18 KBi
#20
Correcto
0.004 s 2 KBi
#21
Correcto
0.004 s 2 KBi
#22
Correcto
0.005 s 1 KBi
#23
Correcto
0.004 s 1 KBi
#24
Correcto
0.006 s 2 KBi
#25
Correcto
0.004 s 2 KBi
#26
Correcto
0.006 s 1 KBi
#27
Correcto
0.004 s 2 KBi
#28
Correcto
0.006 s 1 KBi
#29
Correcto
0.005 s 2 KBi
#30
Correcto
0.004 s 2 KBi
#31
Correcto
0.008 s 2 KBi
#32
Correcto
0.006 s 14 KBi
#33
Correcto
0.004 s 1 KBi
#34
Correcto
0.004 s 1 KBi
#35
Correcto
0.007 s 14 KBi
#36
Correcto
0.005 s 2 KBi
#37
Correcto
0.008 s 2 KBi
#38
Correcto
0.006 s 2 KBi
Puntos totales: 100 / 100

Código

#include <iostream>

using namespace std;

int cast(char c) {
    return (c - '0');
}

string big_sum(string x, int i, string y, int j)
{
    int carry = 0, sum = 0, unit = 0;
    for (; i >= 0; --i, --j)
    {
        sum = (j >= 0) ? cast(x[i]) + cast(y[j]) : cast(x[i]);
        sum += carry;
        unit = sum % 10;
        x[i] = unit + 48;
        carry = (sum > 9) ? 1 : 0;
    }
    if ((i < 0 && carry == 1) || (x[0] == '0' && carry == 1))
        return '1' + x;
    else
        return x;
}

int main(void)
{
    string x, y;
    cin >> x;
    cin >> y;

    int xLength = x.length() - 1, yLength = y.length() - 1;
    string res = (xLength > yLength)
                     ? big_sum(x, xLength, y, yLength)
                     : big_sum(y, yLength, x, xLength);
    cout << res << endl;

    return (0);
}