Posted by Steven on .
Given integers R,M with M≠0, let S(R,M) denote the smallest positive integer x satisfying the congruence
if such an x exists. If such an x does not exist, put S(R,M)=0.
Each line of this text file contains a pair of space separated integers representing R and M, respectively.
Let L be the list of integers whose k-th element is the value of S(R,M), where R and M are taken from the k-th line of the text file.
Let T be the sum of all elements of L. What are the last three digits of T?