Let's say that you have a pie with weight W (note that you do not know what W is). You are given an unlimited number of disks each whose weight is 1 lb, along with two-sided scale (attached below, where you put your pie on side and the disks on the other side), which can accommodate an unlimited number of disks. Your task is to figure out the weight W of the pie within 1 lb accuracy (i.e., if W is 300 lbs, your answer can be anywhere from 299 lbs to 301 lbs) by using O(log W) comparisons on the weighing scale.