From 73d296ca7ecb591bf219ca8b6b2f60957ee239e8 Mon Sep 17 00:00:00 2001 From: vzsky Date: Wed, 13 Aug 2025 20:16:19 +0700 Subject: [PATCH] Add 0041 --- md/0041.md | 19 +++++++++++++++++++ media/0041/evenFullPack.png | Bin 0 -> 255022 bytes media/0041/oddFullPack.png | Bin 0 -> 186872 bytes media/0041/oneFullPack.png | Bin 0 -> 49998 bytes media/0041/threeFullPack.png | Bin 0 -> 98796 bytes 5 files changed, 19 insertions(+) create mode 100644 md/0041.md create mode 100644 media/0041/evenFullPack.png create mode 100644 media/0041/oddFullPack.png create mode 100644 media/0041/oneFullPack.png create mode 100644 media/0041/threeFullPack.png diff --git a/md/0041.md b/md/0041.md new file mode 100644 index 0000000..10edccc --- /dev/null +++ b/md/0041.md @@ -0,0 +1,19 @@ +พิจารณาเมื่อ $K$ เป็นเลขคู่ เนื่องจากเส้นผ่านศูนย์กลางของวงกลมแต่ละวงเป็น 2 เราเลยรู้ว่าไม่วิธีที่จะจัดวงกลมมากกว่า $K$ วงลงในพื้นที่สี่เหลี่ยมขนาด $4 \times K$ ตามรูป +![](../media/0041/evenFullPack.png) +ดังนั้นเมื่อให้ $N$ เลขคู่มา คำตอบคือ $K = N$ + +ส่วนสำหรับ $N$ ที่เป็นเลขคี่จะต้องแยกพิจารณาเป็นสามกรณี +1. เมื่อ $N = 1$ เราจะได้ว่ารูปที่เล็กที่สุดเป็น $4 \times 2$ ดังรูป +![](../media/0041/oneFullPack.png) +2. เมื่อ $N = 3$ เราจะได้ว่ารูปที่เล็กที่สุดเป็น $4 \times (2 + \sqrt 3)$ ดังรูป +![](../media/0041/threeFullPack.png) +3. เมื่อ $N \ge 5$ เราจะได้ว่ารูปที่เล็กที่สุดเป็น $4 \times (N-3 + 2\sqrt 3)$ ดังรูป +![](../media/0041/oddFullPack.png) + +```cpp +int n; cin >> n; +cout << fixed << setprecision(6); +if (n == 1) cout << 2.0; +else if (n == 3) cout << 2 + sqrt(3); +else cout << n + (n&1)*(2*sqrt(3)-3); +``` diff --git a/media/0041/evenFullPack.png b/media/0041/evenFullPack.png new file mode 100644 index 0000000000000000000000000000000000000000..0c1b6521daf22c29bb95800e2ffe20e2b900348b GIT binary patch literal 255022 zcmeFZWmFv9wkQfA&;f!ZSa1kIg1c+55L|-06WnQBf(A=~;2zxFAq01KcWtb3>3&V} z?X&kid%ye69pk<6{(N1dsG_RYTD9g})90*E1vyDH6ao}DI5;$^_hL$LZ~$yLID~i4 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