A sailor was marooned on a desert island with a batch of coconuts. During the first week, he ate less than half of the coconuts. During the second week, he ate less than half of what was left. During the third week, he ate a fourth of what was left. During the fourth week, he ate a third of what was left. During the fifth week, he ate half of what was left. During the sixth week, he ate the remaining coconut and was shortly thereafter rescued. How many coconuts did he start with? And how