Problem

Source: JBMO Shortlist 2002

Tags: combinatorics proposed, combinatorics



Positive real numbers are arranged in the form: $ 1 \ \ \ 3 \ \ \ 6 \ \ \ 10 \ \ \ 15 ...$ $ 2 \ \ \ 5 \ \ \ 9 \ \ \ 14 ...$ $ 4 \ \ \ 8 \ \ \ 13 ...$ $ 7 \ \ \ 12 ...$ $ 11 ...$ Find the number of the line and column where the number 2002 stays.