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Niebieskie ksi.eczki
II Olympiad in Informatics 1994/1995

Task: TRO
Author: Piotr Chrz±stowski-Wachtel

II stage contest  

In a finite sequence of positive integers not greater than a billion, representing lengths of line segments, we want to find three numbers such that one can build a triangle from segments of such lengths.


Write a program which examines whether among the line segments - lengths of which are written in the text file TRO.IN - there exist three such that one can build a triangle from them. If so, the program writes the lengths of those three segments in the file TRO.OUT. If there exist no such triple, the program writes one word NIE ("no") in the file TRO.OUT.

If there exist many triples of line segments of lengths written in the file TRO.IN such that one can build a triangle from them, then your program should find and write only one (arbitrary) of them.


In the file TRO.IN there is a finite sequence of at least three positive integers not greater then 1000000000, terminated by the number 0. Each number is written in a separate line. Positive numbers are lengths of line segments, and the number 0 denotes the end of the data.

The data in the file TRO.IN are written correctly and your program need not verify that.


In the file TRO.OUT there should be either one word NIE, or three lengths of line segments chosen from the file TRO.IN, from which one can build a triangle. The lengths are separated by single spaces.


For the file TRO.IN:
in the file TRO.OUT there should be one word:

For the file TRO.IN:

the following three numbers in the file TRO.OUT are a sample correct solution:
250 105 150

Your program should look for the file TRO.IN in the current directory and create the file TRO.OUT also in the current directory. The source file containing the program written by you should be named TRO.???, where ??? are substituted by at most three-letter abbreviation of the programming language used. The same program in an executable form should be written in a file TRO.EXE.

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