Self-Generated Figures in Sequence Processing

A figure may convey an idea, an argument and even a proof, sometimes better than words. It may also elicit an idea, an argument and a proof. In problem solving, a figure may give a “feel” of a problem. A self-generated figure may help getting insight, or serve as a means for representing one's inner associations, or mental model of the problem. This paper presents self-generated figures in algorithmic problem solving. Students of our IOI advanced stage demonstrated constructive utilization of self-generated figures in solving challenging sequence processing tasks. The figures elicited associations of hidden patterns, whose recognition yielded elegant and efficient algorithmic solutions. We advocate the application and examination of self-generated figures in algorithmic problem solving.