Same top-K, three regimes Same top-K, three regimes pick by working set and exactness, never by habit or a universal threshold regime hash aggregation external sort sketch: approximate working set fits distinct keys in RAM WINS: one pass exact, fastest here works pays extra I/O overkill exactness is cheap here working set exceeds RAM: must spill spills, or OOMs death is not slowness WINS: finishes degrades with I/O option if error is allowed top-100 approx error budget given sample first then count exactly possible stop after top-K WINS: tiny memory bounded error only teaching demo: 200k lines, 19,782 distinct, 10 spilled runs, identical top-5 on both paths rule: measure your cap, your disk, your cardinality, then choose; no universal URL count exists legend: green wins the row, pink fails or risks failing, white merely works