The algorithm maintains a running "best distance" that starts at infinity. As it walks the tree, it checks each visited point and updates the best distance if it finds something closer. Before recursing into a child node, it checks whether the closest possible point in that child's bounding box is farther than the current best. If so, the entire subtree gets pruned.
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Two months ago, Aston Villa were just three points off top spot in the Premier League. They were on a run of 12 wins in 14 games that included victories against Manchester City and Arsenal. Their run of eight consecutive wins in the league was their best since they won 10 in a row in 1910. You wouldn’t have blamed Villa fans for daring to dream about lifting their first league title since 1981.