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Omni-MATH / Positive integers are put into the following table.

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Positive integers are put into the following table. \begin{tabular}{|l|l|l|l|l|l|l|l|l|l|} \hline 1 & 3 & 6 & 10 & 15 & 21 & 28 & 36 & & \\ \hline 2 & 5 & 9 & 14 & 20 & 27 & 35 & 44 & & \\ \hline 4 & 8 & 13 & 19 & 26 & 34 & 43 & 53 & & \\ \hline 7 & 12 & 18 & 25 & 33 & 42 & & & & \\ \hline 11 & 17 & 24 & 32 & 41 & & & & & \\ \hline 16 & 23 & & & & & & & & \\ \hline ... & & & & & & & & & \\ \hline ... & & & & & & & & & \\ \hline \end{tabular} Find the number of the line and column where the number 20152015 stays.
Plain-text mathematical notation (without MathML)
Positive integers are put into the following table.

\begin{tabular}{|l|l|l|l|l|l|l|l|l|l|}
\hline
1   & 3  & 6  & 10 & 15 & 21 & 28 & 36 &  &  \\ \hline
2   & 5  & 9  & 14 & 20 & 27 & 35 & 44 &  &  \\ \hline
4   & 8  & 13 & 19 & 26 & 34 & 43 & 53 &  &  \\ \hline
7   & 12 & 18 & 25 & 33 & 42 &    &    &  &  \\ \hline
11  & 17 & 24 & 32 & 41 &    &    &    &  &  \\ \hline
16  & 23 &    &    &    &    &    &    &  &  \\ \hline
... &    &    &    &    &    &    &    &  &  \\ \hline
... &    &    &    &    &    &    &    &  &  \\ \hline
\end{tabular}

Find the number of the line and column where the number 2015 stays.
Original LaTeX notation
Positive integers are put into the following table.

\begin{tabular}{|l|l|l|l|l|l|l|l|l|l|}
\hline
1   & 3  & 6  & 10 & 15 & 21 & 28 & 36 &  &  \\ \hline
2   & 5  & 9  & 14 & 20 & 27 & 35 & 44 &  &  \\ \hline
4   & 8  & 13 & 19 & 26 & 34 & 43 & 53 &  &  \\ \hline
7   & 12 & 18 & 25 & 33 & 42 &    &    &  &  \\ \hline
11  & 17 & 24 & 32 & 41 &    &    &    &  &  \\ \hline
16  & 23 &    &    &    &    &    &    &  &  \\ \hline
... &    &    &    &    &    &    &    &  &  \\ \hline
... &    &    &    &    &    &    &    &  &  \\ \hline
\end{tabular}

Find the number of the line and column where the number $2015$ stays.

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Source and history

task_id
22fd5c32-11b5-547e-8bef-fa1f5e405ecf
task_key
test--22fd5c32-11b5-547e-8bef-fa1f5e405ecf
task_revision_id
1
config / split
/ test

Official source

initial import