The Robot

There is a robot on a checkered field that is endless in all directions. Initially, the robot is located in the cell with coordinates $$$(0, 0)$$$. He will execute commands which are described by a string of capital Latin letters 'L', 'R', 'D', 'U'. When a command is executed, the robot simply moves in the corresponding direction:

• 'L': one cell to the left (the $$$x$$$-coordinate of the current cell decreases by $$$1$$$);
• 'R': one cell to the right (the $$$x$$$-coordinate of the current cell is increased by $$$1$$$);
• 'D': one cell down (the $$$y$$$-coordinate of the current cell decreases by $$$1$$$);
• 'U': one cell up (the $$$y$$$-coordinate of the current cell is increased by $$$1$$$).

Your task is to put an obstacle in one cell of the field so that after executing the commands, the robot will return to the original cell of its path $$$(0, 0)$$$. Of course, an obstacle cannot be placed in the starting cell $$$(0, 0)$$$. It is guaranteed that if the obstacle is not placed, then the robot will not return to the starting cell.

An obstacle affects the movement of the robot in the following way: if it tries to go in a certain direction, and there is an obstacle, then it simply remains in place (the obstacle also remains, that is, it does not disappear).

Find any such cell of the field (other than $$$(0, 0)$$$) that if you put an obstacle there, the robot will return to the cell $$$(0, 0)$$$ after the execution of all commands. If there is no solution, then report it.