Does 'Two such hints, however, have only a few possible answers in common, so that the solver can concentrate on them and pick the most probable one.' provide a contradiction to the established premise 'Without hints, it would be too difficult for the problems to be solved.'
Two such hints, however, have only a few possible answers in common, so that the solver can concentrate on them and pick the most probable one.###Without hints, it would be too difficult for the problems to be solved.