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문제

Nili company want to develop a simple text editor. Mohammad as the member of development team has been assigned to work on an essential feature - the justify line. You have already used a word processing software and specifically the justify line feature. Help him and write a program that gets the lines as input and print them out justified.

Here is what you should keep in mind while writing the program:

  • Each line is a paragraph.
  • To justify, pad the line by adding extra white spaces between words from left to right. Keep the white spaces balanced between words - Don't add all white spaces after the first word!!!
  • Only justify if the number of characters in line is >= floor(C/2)
  • Lines longer than C should be wrapped to next line.
  • No justified line should start or ends with whitespace.
  • Do not remove blank lines. Blank line is a line that does not have any non-blank character in it.

입력

First line contains the max number of characters per line (C >= 50).

Next N lines (N < 100000) each containing W words (W < 10000).

Input ends with the line ENDOFINPUT. It is not part of input.

Note: There is no word bigger than C.

출력

Print the lines justified.

예제 입력 1

50
The International Collegiate Programming Contest, 
known as the ICPC, is an annual 
multi-tiered competitive programming competition among the

universities of the world. 
Headquartered at Baylor University, 
directed by ICPC Executive Director and Baylor
Professor Dr. William
ENDOFINPUT

예제 출력 1

The  International Collegiate Programming Contest,
known     as    the    ICPC,    is    an    annual
multi-tiered  competitive  programming competition
among the

universities         of         the         world.
Headquartered      at      Baylor      University,
directed  by  ICPC  Executive  Director and Baylor
Professor Dr. William

힌트

There should be only 50 characters in a line. So:

  • First line could not be longer than those five words (49 characters long - including spaces), and only one space was needed to make it justified which was added after first leftmost word.
  • Second line was 32 characters long >= floor(50 / 2), so 19 more spaces were added to make it justified.
  • The third line was justified and the extra words ("among the") were wrapped into next line - that cannot be justified.