{"id":"prefix-count-difference-pattern","text":"The formula `f(high) - f(low - 1)` is used to count elements satisfying a predicate in a range by subtracting prefix counts, as seen in `count_odds` where `(high+1)//2 - low//2` computes odds in `[low, high]`.","truth_value":"IN","source":"entries/2026/06/06/count-odd-numbers-in-an-interval-range-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"prefix-count-difference-pattern","truth_value":"IN","reason":"premise"}]}}