This is the same idea behind binary search. In a sorted array, you compare against the middle element and eliminate half the remaining candidates. In a quadtree, you choose one of four quadrants and ignore the other three regions. Each level narrows the search space by a factor of four instead of two.
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The research, using data from more than 1.8 million people who were tracked over many years, found that vegetarians had a 21% lower risk of pancreatic cancer, a 12% lower risk of prostate cancer and a 9% lower risk of breast cancer compared with meat eaters. Combined, these cancers account for around a fifth of cancer deaths in the UK.
Energy Secretary Ed Miliband is leading the UK government's efforts to reduce carbon emissions