Two piles once...#2805

Two piles once...

1 second
32 megabytes
Very easy

Misha divided a number of cones into two piles, with and cones in each pile, respectively, and proposed the following game to Masha: On a turn, the player may take any positive number of cones, but only from one pile. The player who takes the last cone wins. Masha always goes first.

Given and , determine which player will win if both play optimally.

Input

The first line contains an integer (1 \leq N \leq 10^5) — the number of test cases.

Each of the next lines contains two non-negative integers and , each not exceeding 2 \cdot 10^9.

Output

Print a single line without spaces, consisting of digits — each digit is either 1 or 2, where the -th digit is the number of the player who will win in the -th test case if both play optimally.

Examples

Example 1

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