Difference between revisions of "1998 IMO Shortlist Problems/C1"
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==Problem== | ==Problem== | ||
| − | An <math>m | + | An <math>m \times n</math> array of real numbers has the sum of each row and column integral. Show that each non-integral element <math>x</math> can be changed to <math>\left\lfloor x \right\rfloor</math> or <math>\left\lfloor x \right\rfloor + 1</math>, so that the row and column sums are unchanged. |
==Solution== | ==Solution== | ||
Coming soon... | Coming soon... | ||
Revision as of 21:30, 30 December 2021
Problem
An 
array of real numbers has the sum of each row and column integral. Show that each non-integral element 
can be changed to 
or 
, so that the row and column sums are unchanged.
Solution
Coming soon...
