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E. Anfisa the Monkey

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputAnfisa the monkey learns to type. She is yet unfamiliar with the "space" key and can only type in lower-case Latin letters. Having typed for a fairly long line, Anfisa understood that it would be great to divide what she has written into *k* lines not shorter than *a* and not longer than *b*, for the text to resemble human speech more. Help Anfisa.

Input

The first line contains three integers *k*, *a* and *b* (1 ≤ *k* ≤ 200, 1 ≤ *a* ≤ *b* ≤ 200). The second line contains a sequence of lowercase Latin letters — the text typed by Anfisa. It is guaranteed that the given line is not empty and its length does not exceed 200 symbols.

Output

Print *k* lines, each of which contains no less than *a* and no more than *b* symbols — Anfisa's text divided into lines. It is not allowed to perform any changes in the text, such as: deleting or adding symbols, changing their order, etc. If the solution is not unique, print any of them. If there is no solution, print "No solution" (without quotes).

Examples

Input

3 2 5

abrakadabra

Output

ab

rakad

abra

Input

4 1 2

abrakadabra

Output

No solution

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