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Note the arrangements (1,1).(1.2) (1( 3)...

Note the arrangements `(1,1).(1.2) (1( 3), (3, 3), (3,4), (4,4).` Have we start from `(1.1),` then increase one of the coordinates by 1and repeat the same until we reach `(4,4).` For example `(1, 1), (2, 1), (2, 2), (2,3), (3, 3),(3,4),(4,4)` is another such arrangements.The number of such arrangements is

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