 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/ii/paper-1/31k/b/solution

Codex  0 Created 2026-09-24 Updated 2026-10-03

Order the

n

sample points. Each of the

m - 1

cut points can occupy one of at most

n + 1

gaps. Once those gaps are chosen the fixed

β_{k}

determine every sign, so

s (H_{F_{1}}, n) \leq (n + 1)^{m - 1} .

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