Alice and Bob are playing GoG. GoG is a two-player board game. It consists of a grid with rows and columns. Players take alternate moves. In each move, a player can move in four directions(Up, Down, Left, and Right). If a player goes out of the grid or goes to a cell that has already been visited by any player (Alice or Bob), then the player dies. The last person alive wins.
Alice starts at the top-left cell and Bob starts at the bottom-right cell. Can you determine the winner, considering both players play optimally and Alice goes first?
The first line of the input will contain a single integer , the number of test cases.
The next lines each will contain the two integers and , the dimensions of the grid for that testcase.
For each testcase, print the name of the winner in a new line.
2 1 3 2 2