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Stamp problem in mathematics
From the example, t is not unique. Let's find a group.

The first question:

When n= 1, S= 1, T= 1.

When n=2 and S=3, T= 1+2.

When n >; 2, S=2n, t = 1+n+2+1+…+1,where the number of1after 2 is n-3.

For example, when n=5, S= 10, t =1+5+2+1+.

The second question:

The answer to the first question also applies. It's just a waste of the advantages of the ring