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With ​i​ts longtime figureheads stepping aside, Microsoft’s gaming division faces a pivotal moment​, raising questions about whether ​i​t can still balance creative ambition with corporate strategy​ in the age of AI

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Games and physics simulations need to detect which objects are touching or overlapping. With nnn objects, checking every pair is O(n2)O(n^2)O(n2) comparisons, which gets expensive fast. A hundred objects means roughly 5,000 pair checks. A thousand means nearly 500,000.