The Jumbled Addition

Alice and Bob are playing a game. Bob has a number _n_. Bob challenges Alice to obtain another number _s_ by adding some number _t_ to _n_. But the number _t_ can only comprise of digits of the number _n_ (there can be no leading zeros). In other words, Alice will win the game if she can find a number _t_ that is obtained by reordering the digits (the rearrangement can be equal to the initial nu