Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

1998 IMO Shortlist Problems/C1

Revision as of 21:30, 30 December 2021 by Skyguy88 (talk | contribs)

Problem

An $m \times n$ array of real numbers has the sum of each row and column integral. Show that each non-integral element $x$ can be changed to $\left\lfloor x \right\rfloor$ or $\left\lfloor x \right\rfloor + 1$, so that the row and column sums are unchanged.


Solution

Coming soon...

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=1998_IMO_Shortlist_Problems/C1&oldid=168954"