/**
* Question : 67. Add Binary
* Complexity : Time: O(m+n) ; Space: O(m+n)
* Topics : String
*/
class Solution {
public String addBinary(String a, String b) {
StringBuilder sb = new StringBuilder();
int carry = 0;
int i = a.length() - 1;
int j = b.length() - 1;
while (i >= 0 && j >= 0) {
int sum = carry;
sum += (a.charAt(i--) - '0');
sum += (b.charAt(j--) - '0');
sb.insert(0, sum % 2);
carry = sum / 2;
}
while (i >= 0) {
int sum = carry;
sum += (a.charAt(i--) - '0');
sb.insert(0, sum % 2);
carry = sum / 2;
}
while (j >= 0) {
int sum = carry;
sum += (b.charAt(j--) - '0');
sb.insert(0, sum % 2);
carry = sum / 2;
}
if (carry != 0) {
sb.insert(0, carry);
}
return sb.toString();
}
}