Let n≤44,n∈N. Prove that for any function f defined over N2 whose images are in the set {1,2,…,n}, there are four ordered pairs (i,j),(i,k),(l,j), and (l,k) such that f(i, j) \equal{} f(i, k) \equal{} f(l, j) \equal{} f(l, k), in which i,j,k,l are chosen in such a way that there are natural numbers m,p that satisfy 1989m \leq i < l < 1989 \plus{} 1989m and 1989p \leq j < k < 1989 \plus{} 1989p. inequalitiesfunctionalgebra unsolvedalgebra