From fe85f770bbfe1057d0f45422ecf2b14d7b3c6082 Mon Sep 17 00:00:00 2001 From: CyC2018 Date: Wed, 28 Oct 2026 22:51:12 +0800 Subject: [PATCH] =?UTF-8?q?Update=2010.2=20=E7=9F=A9=E5=BD=A2=E8=A6=86?= =?UTF-8?q?=E7=9B=96.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,公式中递推式的条件改为 n > 2,删除注释中的公式图片。 --- notes/10.2 矩形覆盖.md | 10 ++++------ notes/pics/rect-cover-formula.png | Bin 0 -> 45228 bytes notes/pics/rect-cover-n1.png | Bin 0 -> 10254 bytes notes/pics/rect-cover-n2.png | Bin 0 -> 23235 bytes 4 files changed, 4 insertions(+), 6 deletions(-) create mode 100644 notes/pics/rect-cover-formula.png create mode 100644 notes/pics/rect-cover-n1.png create mode 100644 notes/pics/rect-cover-n2.png diff --git a/notes/10.2 矩形覆盖.md b/notes/10.2 矩形覆盖.md index 89b56563..7d745736 100644 --- a/notes/10.2 矩形覆盖.md +++ b/notes/10.2 矩形覆盖.md @@ -2,7 +2,7 @@ ## 题目描述 -我们可以用 2\*1 的小矩形横着或者竖着去覆盖更大的矩形。请问用 n 个 2\*1 的小矩形无重叠地覆盖一个 2\*n 的大矩形,总共有多少种方法? +可以用 2\*1 的小矩形横着或者竖着去覆盖更大的矩形。请问用 n 个 2\*1 的小矩形无重叠地覆盖一个 2\*n 的大矩形,总共有多少种方法?

@@ -10,17 +10,15 @@ 当 n 为 1 时,只有一种覆盖方法: -

+

当 n 为 2 时,有两种覆盖方法: -

+

要覆盖 2\*n 的大矩形,可以先覆盖 2\*1 的矩形,再覆盖 2\*(n-1) 的矩形;或者先覆盖 2\*2 的矩形,再覆盖 2\*(n-2) 的矩形。而覆盖 2\*(n-1) 和 2\*(n-2) 的矩形可以看成子问题。该问题的递推公式如下: - - -

+

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