function [lb,ub,A,b] = remove_bounds_from_Ab(A,b,lb,ub);

if size(A,1)>0
    cand_rows_lp = find(sum(A~=0,2)==1);
    if ~isempty(cand_rows_lp)
        [ii,jj,kk] = find(A(cand_rows_lp,:));
        s_pos = find(kk>0);
        s_neg = find(kk<=0);
        if ~isempty(s_pos)
            for s = 1:length(s_pos)
                ub(jj(s_pos(s)),1) = full(min(ub(jj(s_pos(s))),b(cand_rows_lp(ii(s_pos(s))))./kk(s_pos(s))));
            end
        end
        if ~isempty(s_neg)
            for s = 1:length(s_neg)
                lb(jj(s_neg(s)),1) = full(max(lb(jj(s_neg(s))),b(cand_rows_lp(ii(s_neg(s))))./kk(s_neg(s))));
            end
        end
    end
    A(cand_rows_lp,:) = [];
    b(cand_rows_lp,:) = [];
end