753. Ultra Fast Mathematicians

0

Easy

Prateek is an extremely gifted student. He is great at everything including Combinatorics, Algebra, Number Theory, Geometry, Calculus, etc. He is not only smart but extraordinarily fast!. One day Prateek was trying to find out if any one can possibly do calculations faster than him. As a result he made a very great contest and asked every one to come and take part. In his contest he gave the contestants many different pairs of numbers. Each number is made from digits 0 or 1. The contestants should write a new number corresponding to the given pair of numbers. The rule is simple: The i-th digit of the answer is 1 if and only if the i-th digit of the two given numbers differ. In the other case the i-th digit of the answer is 0. Prateek made many numbers and first tried his own speed. He saw that he can perform these operations on numbers of length ∞ (length of a number is number of digits in it) in a glance! He always gives correct answers so he expects the contestants to give correct answers, too. He is a good fellow so he won't give anyone very big numbers and he always gives one person numbers of same length. Now you are going to take part in Shapur's contest. See if you are faster and more accurate.

Input Format

The first line contains an integer t , the no. of testcases. There are two inputs in each line. Each of them contains a single number. It is guaranteed that the numbers are made from 0 and 1 only and that their length is same. The numbers may start with 0.

Output Format

Write t lines — the corresponding answer to the corresponding input. Do not omit the leading 0s.

Example

Input

1 10111 10000

Output

00111

Constraints

The length of each number doesn't exceed 100.