You already know that Valery's favorite sport is biathlon. Due to your help, he learned to shoot without missing, and his skills are unmatched at the shooting range. But now a smaller task is to be performed, he should learn to complete the path fastest.

The track's map is represented by a rectangle *n* × *m* in size divided into squares. Each square is marked with a lowercase Latin letter (which means the type of the plot), with the exception of the starting square (it is marked with a capital Latin letters *S*) and the terminating square (it is marked with a capital Latin letter *T*). The time of movement from one square to another is equal to 1 minute. The time of movement within the cell can be neglected. We can move from the cell only to side-adjacent ones, but it is forbidden to go beyond the map edges. Also the following restriction is imposed on the path: it is not allowed to visit more than *k* different types of squares (squares of one type can be visited an infinite number of times). Squares marked with *S* and *T* have no type, so they are not counted. But *S* must be visited exactly once — at the very beginning, and *T* must be visited exactly once — at the very end.

Your task is to find the path from the square *S* to the square *T* that takes minimum time. Among all shortest paths you should choose the lexicographically minimal one. When comparing paths you should lexicographically represent them as a sequence of characters, that is, of plot types.

The first input line contains three integers *n*, *m* and *k* (1 ≤ *n*, *m* ≤ 50, *n*·*m* ≥ 2, 1 ≤ *k* ≤ 4). Then *n* lines contain the map. Each line has the length of exactly *m* characters and consists of lowercase Latin letters and characters *S* and *T*. It is guaranteed that the map contains exactly one character *S* and exactly one character *T*.

Pretest 12 is one of the maximal tests for this problem.

If there is a path that satisfies the condition, print it as a sequence of letters — the plot types. Otherwise, print "-1" (without quotes). You shouldn't print the character *S* in the beginning and *T* in the end.

Note that this sequence may be empty. This case is present in pretests. You can just print nothing or print one "End of line"-character. Both will be accepted.

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