Operation counts, brute force vs window / two pointers (counted, not timed) =========================================================================== Max sum of k=100 consecutive elements: element reads n brute force sliding window ratio 1000 90,100 1,900 47.4x 2000 190,100 3,900 48.7x 4000 390,100 7,900 49.4x 8000 790,100 15,900 49.7x Pair search, target absent (worst case) in a sorted array 0..n-1: checks / steps n all pairs two pointers 1000 499,500 999 2000 1,999,000 1,999 4000 7,998,000 3,999 8000 31,996,000 7,999 minWindow on random strings over A-D, t="ABCD" (seed 42): pointer moves The loop is nested but each pointer only moves forward, so total moves stay linear. n right moves left moves valid windows 1000 1,000 996 996 2000 2,000 1,996 1,996 4000 4,000 3,996 3,996 8000 8,000 7,993 7,993