December 2016
Intermediate to advanced
440 pages
9h 44m
Japanese
Content preview from アルゴリズムクイックリファレンス 第2版
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106
■
5
章 探索
表5-1 逐次探索の性能（秒）
n p＝ 1.0 p＝ 0.5 p ＝0.25 p ＝ 0.0
4,096 0.0057 0.0087 0.0101 0.0116
8,192 0.0114 0.0173 0.0202 0.0232
16,384 0.0229 0.0347 0.0405 0.0464
32,768 0.0462 0.0697 0.0812 0.0926
65,536 0.0927 0.1391 0.1620 0.1853
131,072 0.1860 0.2786 0.3245 0.3705
5.2
二分探索
二分探索
（
Binary Search
）は、要素が既に整列した集まりを探索することで、
逐
次探索
よりも優れた性能をもたらす。
二分探索
は、探索要素が見つかるか、集まり
には探索要素がないと決まるまで、整列した要素を半分に分割していく。
二分探索
Binary Search
最良 平均 最悪
O(1) O(log n)
search (A,t)
low = 0
high = n-1
while low
≦
high do
❶
探す範囲が残っている間は繰り返す。
mid = (low + high)/2
❷
整数算術を使って中点を計算する。
if t < A[mid] then
high = mid - 1
else if t > A[mid] then
low = mid + 1
else
return true
return false
❸
「変形」のページでこの時点での ...
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