Polycarp found a rectangular table consisting of n rows and m columns. He noticed that each cell of the table has its number, obtained by the following algorithm "by columns": codeforces solution
The algorithm for numbering the cells of the rectangular table "by columns" can be explained step by step as follows:
Step 1:
Set a variable cnt
to 1, which represents the current cell number.
Step 2:
Iterate through each column of the table using a loop, with the variable j
representing the column index.
Step 3:
Within each column, iterate through each row of the table using another loop, with the variable i
representing the row index.
Step 4:
Assign the current cell number cnt
to the cell at the current row i
and column j
.
Step 5:
Increment the cell number cnt
by 1.
Step 6:
Continue the loop until all cells of the table have been assigned a number.
The algorithm follows a "by columns" approach, meaning it assigns cell numbers in a column-wise manner. It starts from the top-left cell of the table, moves column by column, and assigns numbers to each cell until it reaches the bottom-right cell.
This algorithm ensures that each cell of the table receives a unique number, progressively increasing from 1 to the total number of cells in the table.