1998 IMO Shortlist Problems/C1: Difference between revisions
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==Problem== | |||
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 either <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== | |||
Coming soon... | |||
Latest 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 either 
or 
so that the row and column sums are unchanged.
Solution
Coming soon...
