Icebound dreams of being aLegendary grandmaster. So he built a smart robot to help him. The robot works on a N*N matrix. All the numbers in the matrix are non-negative integers less than 10. The robot can move in the matrix. If it's in the (x,y) position of the matrix, it can move to , , , , which are the adjacent positions of the robot. But the robot has to operate inside the matrix. It can't get out of the matrix. The robot can start at any position in the matrix, take any step, and it can stop at any position in the matrix. We connect the numbers in the robot's path in order to get a magic number. For example, if the robot takes 3 steps and passes through 3 numbers of the matrix, 0,7 and 8, the magic number is 78.All the magic numbers are non-negative integers, and the number generated by the robot does not contain leading 0. Through the robot, icebound got a lot of magic numbers. Now he wants to know what isthe smallest magic number he can't get.
Icebound dreams of being aLegendary grandmaster. So he built a smart robot to help him. The robot works on a N*N matrix. All the numbers in the matrix are non-negative integers less than 10. The robot can move in the matrix. If it's in the (x,y) position of the matrix, it can move to (x+1,y) , (x,y+1), (x-1,y), (x,y-1), which are the adjacent positions of the robot. But the robot has to operate inside the matrix. It can't get out of the matrix. The robot can start at any position in the matrix, take any step, and it can stop at any position in the matrix. We connect the numbers in the robot's path in order to get a magic number. For example, if the robot takes 3 steps and passes through 3 numbers of the matrix, 0,7 and 8, the magic number is 78.All the magic numbers are non-negative integers, and the number generated by the robot does not contain leading 0. Through the robot, icebound got a lot of magic numbers. Now he wants to know what isthe smallest magic number he can't get.
