But because the expert could finally see where it fit.… At thirty-nine, Akiyama Ren had become the kind of person other people described with words such as genius only after they had run out of more useful explanations. He had started playing chess at six, entered his first national tournament at nine, and by his twenties was competing internationally. His greatest strength was not that he calculated more variations than everyone else. It was that he often seemed to know which variations were worth calculating. At the training center in Tokyo where he now coached young players, Ren would sometimes watch a student spend twenty minutes calculating a position. The student would fill an analysis board with arrows. “Knight takes.” “No, bishop takes.” “Then queen checks.” He would calculate another five moves. Ren usually watched silently. Finally, he would ask: “What are you trying to solve?” The student looked puzzled. “The position.” “No. What is the po...