« Vrati se
A rectangular array of numbers is given. In each row and each column, the sum of all numbers is an integer. Prove that each nonintegral number x in the array can be changed into either \lceil x\rceil or \lfloor x\rfloor so that the row-sums and column-sums remain unchanged. (Note that \lceil x\rceil is the least integer greater than or equal to x, while \lfloor x\rfloor is the greatest integer less than or equal to x.)

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
2354Mala olimpijada 1998 zadatak 61
1991IMO Shortlist 1998 problem C41
1990IMO Shortlist 1998 problem C33
1989IMO Shortlist 1998 problem C22
1859IMO Shortlist 1993 problem C22
1858IMO Shortlist 1993 problem C10