Ashok has a peculiar lock for the door of his home. Its peculiarity lies in the way the door lock is opened. There is a grid present on the door on which numbers from 1 to 8 are to be inserted in a particular pattern to open the door. One day, Anil, Ashok’s brother came to visit Ashok. He used the door bell to call Ashok. But Ashok didn’t come out. Instead, he gave Anil a clue using his intercom about how the door should be opened. He told Anil that the numbers 1 to 8 are to be inserted in such a manner that no two upward, downward and diagonally adjacent cells should contain consecutive numbers. Any such configuration obtained will open the lock and let him in. The lock grid is as given in the figure below.
For example, consider the following arrangement;
In this arrangement, 7 and 8, 5 and 5, 3 and 4 are adjacent to each other. Hence, this is not possible.
Help Anil open the door and get into Ashok’s house. Provide a detailed solution for the same.
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