From d63c38d992f13e36a5705fd426260de5f1818278 Mon Sep 17 00:00:00 2001 From: Martin Mares <mj@ucw.cz> Date: Mon, 2 Dec 2019 10:18:11 +0100 Subject: [PATCH] Linear probing: What did the remark mean??? --- 06-hash/hash.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/06-hash/hash.tex b/06-hash/hash.tex index f86d915..e7248ea 100644 --- a/06-hash/hash.tex +++ b/06-hash/hash.tex @@ -723,7 +723,7 @@ By the previous lemma, one of the first 4 blocks of~$R$ is critical. \qed Hence, the probability that run length lies between $2^{\ell+2}$ and $2^{\ell+3}$ -is bounded by the probability that one of the 12 blocks (chosen independently of~$\ell$) +is bounded by the probability that one of the 12 blocks is critical. By union bound and our estimate on the probability that a~block is critical, we get: -- GitLab