From efed7be07b3e9e64cccc2abb10559f9df389bac1 Mon Sep 17 00:00:00 2001 From: CyC2018 Date: Wed, 28 Oct 2026 22:51:13 +0800 Subject: [PATCH] =?UTF-8?q?Update=2011.=20=E6=97=8B=E8=BD=AC=E6=95=B0?= =?UTF-8?q?=E7=BB=84=E7=9A=84=E6=9C=80=E5=B0=8F=E6=95=B0=E5=AD=97.md?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit 重新绘制配图,第一人称改为客观陈述。 --- notes/11. 旋转数组的最小数字.md | 8 ++++---- notes/pics/rotate-array-min.png | Bin 0 -> 48367 bytes notes/pics/rotate-array-split.png | Bin 0 -> 65579 bytes 3 files changed, 4 insertions(+), 4 deletions(-) create mode 100644 notes/pics/rotate-array-min.png create mode 100644 notes/pics/rotate-array-split.png diff --git a/notes/11. 旋转数组的最小数字.md b/notes/11. 旋转数组的最小数字.md index 31ce212e..8f5a1847 100644 --- a/notes/11. 旋转数组的最小数字.md +++ b/notes/11. 旋转数组的最小数字.md @@ -6,17 +6,17 @@ ## 题目描述 -把一个数组最开始的若干个元素搬到数组的末尾,我们称之为数组的旋转。输入一个非递减排序的数组的一个旋转,输出旋转数组的最小元素。 +把一个数组最开始的若干个元素搬到数组的末尾,称之为数组的旋转。输入一个非递减排序的数组的一个旋转,输出旋转数组的最小元素。 -

+

## 解题思路 将旋转数组对半分可以得到一个包含最小元素的新旋转数组,以及一个非递减排序的数组。新的旋转数组的长度是原数组的一半,从而将问题规模减少了一半,这种折半性质的算法的时间复杂度为 O(log2N)。 -

+

-此时问题的关键在于确定对半分得到的两个数组哪一个是旋转数组,哪一个是非递减数组。我们很容易知道非递减数组的第一个元素一定小于等于最后一个元素。 +此时问题的关键在于确定对半分得到的两个数组哪一个是旋转数组,哪一个是非递减数组。容易知道非递减数组的第一个元素一定小于等于最后一个元素。 通过修改二分查找算法进行求解(l 代表 low,m 代表 mid,h 代表 high): diff --git a/notes/pics/rotate-array-min.png b/notes/pics/rotate-array-min.png new file mode 100644 index 0000000000000000000000000000000000000000..321b280b99d096a4dc49980fb18fe26c7dedc364 GIT binary patch literal 48367 zcmXV1bzD@>+g+9gmR?E_R&qhQW0CHVmJ~@rKsu$n8$`O1Mp_yqq?HhnMnXaf2_;0~ z9lpQ!{-Jz!_ujcP^UM?HoF_(0Lx~WN8V>@25UME4>p&pTDF_7P0~`uIaUX@Zfd5E5 z6bwBKEIh2;94*}JA#y%){JebV#8*#BA&{;t6?qw5@5OzS7yi0ipYk8Qn31Dr@PL03 z3!ma7$HHJ!CA*rfX7p`{v%K7Y(&bI!z#41HSy&hiXT{Tb9kKe5URoKBfU77s`u#Z{ zPM#Y$WLY4mU&z}b4jfDDn1!kY-@C9@^rt=+9D{dpii6mCg<{Up6 zaR)yQ#X%ZySg^{fr>^=3p5y|!oa{#tc)uQ z4S_HlJTsb_^32;3oySy34ZWYL^&W)~*DDa8+{Dx-Cmhfs$6^Yt-7}Ofs=*GC4t~hN zq_%IJU1pa}C1|LgzT=~k$~zh&nnbS~5EH0sqKr@q4t{BCn>}>eMGqIBq=_uD%N|(o zeVFIz3>J_Ids|9dTJ@p9;p|YfS{8$Bu%oV^x?H4%(H(t7!`QS<^Z@TsA!}?Xy$UforeF?{=K6Wt-BpX<2x{8T)NL#;0y 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