MathDB

we named a

n*n

table

selfish

if we number the row and column with

0,1,2,3,...,n-1

.(from left to right an from up to down) for every {

i,j\in{0,1,2,...,n-1}

} the number of cell

(i,j)

is equal to the number of number

i

in the row

j

. for example we have such table for

n=5

1 0 3 3 4 1 3 2 1 1 0 1 0 1 0 2 1 0 0 0 1 0 0 0 0 prove that for

n>5

there is no

selfish

table

Problem Statement